{"text":"Question: Put 4\/7, -1\/5, -2, 0.03 in increasing order.\nAnswer: -2, -1\/5, 0.03, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42\/9*261\/(-24*84\/(-96)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 195 - 195.03072. Round m to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -5*p - 2030, -2*p + 1850 = 4*l + 250. What is the remainder when l is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3 - 15\/(-1 - 2). Suppose w - 15 = -5*t, 3*t - w + c*w - 11 = 0. Solve -r + 4 = -3*i, -5*i + 2*r = 3 + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 5, e: 10, s: 1, r: 1}. What is prob of sequence cs?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - y + 8. Let o(h) = -h - 1. Let f(g) = -5*g - 8. Let n(u) = -f(u) + 6*o(u). Determine n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10)\/4*8*1386\/(-165). Suppose -3*o + 18 = 2*h, -3*o + 0*o = h - 15. Suppose h*a = 24 + g. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -53 + 264. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4932980913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -35*q**2 - 7 - 1 + 24*q**2 - q - 2*q**3 + q**3. What is v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45 = -10*g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -81 + 153. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - 4 - -11) + (-25 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3\/6 - 2*z**2 + 3*z. Let u be n(-5). Suppose -3*l + 55 = u. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 - 17*j + 15.\nAnswer: -(j + 5)*(4*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 135, 554, 1253, 2232?\n\"Answer: 140*k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 5. Let i(k) = -7*k**2 + 11*k - 11. Let c(m) = -20*m**2 + 33*m - 33. Let x(r) = -6*c(r) + 17*i(r). Let u be x(10). Solve b*w + u = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 3, y: 1, o: 1, f: 1, q: 2, e: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*k + 238 = -110 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4127594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 - 38\/3. Let u(j) be the first derivative of 2*j - j**2 + 1 - v*j**3. Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -4*g**2 - 5*g**2 + 11*g**2 + 3*g**2 - 7*g**2 + 3*g. Let y(n) = -2*n**2 + 4*n. Give 3*b(i) - 2*y(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/(-4))\/(-4) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 5*c + 21 = 0, 3*c = -5*r + 16 + 7. Let p = r + 8. Suppose v + 1 = p. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-6)\/8)\/((-9)\/(-21)))\/((-22365)\/360)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.03 + -0.43. Let t = 0.42 - -0.58. What is the biggest value in t, j, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 plus 108790550?\nAnswer: 108790539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 800740865?\nAnswer: 5, 37, 41, 229, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 6 + 87*h**3)*(-7*h + 43*h - 25*h + 73*h) as o + q*h**3 + v*h + r*h**2 + s*h**4 and give s.\nAnswer: 7308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4 (b) -33 (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64829 - 4.\nAnswer: 64825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 529 is divided by 127.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -507 - -27b?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/4*7\/(21\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 6*p - 2*p + 10 = 0, -5*f = -p + 10. Suppose -8*h = -2*b - 3*h - 26, -4*h = -16. Sort f, 1, b, -5.\nAnswer: -5, b, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43007 is divided by 72?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**2)**(-6\/5)*o*o**3*o*o*(o*o**(-2\/13))\/o)**(-1\/29) assuming o is positive.\nAnswer: o**(-458\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 205 and 1071617?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -367, -1282, -2111, -2812, -3343, -3662, -3727?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (26432\/(-44))\/(-7) - 4\/(-22). Find the second derivative of h*a - 139*a**4 + 49*a**4 - 4*a wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3767657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.099314847 rounded to five decimal places?\nAnswer: -0.09931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**(-2\/11)))**(-15) assuming x is positive.\nAnswer: x**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -14 < -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 10*q - 4. What are the prime factors of i(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70224 divided by 2508.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3270014587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**4*k*k))**2)**(-24)*(k**(2\/7)\/(k*k*k\/(k\/k**(1\/5))))\/((k\/(k\/k**1)*k)\/k)**(-20) assuming k is positive.\nAnswer: k**(9033\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 3, 35, 0.5, 0.06 in increasing order.\nAnswer: -0.1, 0.06, 0.5, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 457760 divided by 114440\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 46 + 17*m**3 + 88*m**3 - 96 + 49 as x*m**2 + f + c*m**3 + s*m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {j: 11, d: 4, i: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqhhhttqhhhqhqh. Give prob of picking 1 t and 2 h.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 3*a - 3. Let y be ((-16)\/10)\/((-12)\/30). Let s be d(y). Let o = -11\/80 + -1\/16. Which is bigger: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*d - 9. Let i be (-4)\/d - (-2)\/6. What is u in u**3 - 1\/3*u**5 + 0 + 1\/3*u**4 - i*u**2 + 2\/3*u = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from ccccscccccccccc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*p + 42484*p**3 - 42486*p**3 - 4*p + 1421*p**2)*(2 - 3 - 1).\nAnswer: 4*p**3 - 2842*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 - 81.07.\nAnswer: -81.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 3*u - 2. Let z be l(1). Suppose 0 = 6*t - z + 14. Let b = 17 - 12. What is the third biggest value in t, 0.1, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-24)\/18)\/(-2))\/((-36)\/378).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-10 - -586) + -13 + 3 is divided by 119?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 10, 30, 64, 112, 174, 250, 340?\n\"Answer: 7*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2. Let d(s) = -99*s - 458. What is d(m(y))?\nAnswer: 99*y**2 - 458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/70)\/((-2)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 239517*y**2. Let x(a) = -9*a**2. Calculate x(k(r)).\nAnswer: -516315539601*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 1:32 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**3 - x**2 - 4. Let m(p) = 0 - p**2 - 1 - 1 + 2*p**3 - 3. Let l(f) = 5*b(f) - 4*m(f). Find the third derivative of l(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 1 = -v, 0 = -v - 10*j + 14*j - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1692596 greater than -1692569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5 - 6)*((-24)\/40 + 8\/10). Let r = -13 - -40\/3. Sort r, d, 1\/7, 2\/15 in decreasing order.\nAnswer: r, 1\/7, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.6008 times -0.2\nAnswer: -0.12016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -1\/4, 11, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6585 at least as big as 6658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1804767682.\nAnswer: 2, 902383841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.06 (b) -2.49 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15, 17, 9, -9, -37, -75, -123?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -541*o**4 - 4533*o**3 + 13910250*o**2 wrt o?\nAnswer: -12984*o - 27198","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Solve 7222 - 6159 + 24389 = -194*j - 8*j for j.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-9)\/6 + 2)*6. Let a(w) = 4*w + 3*w + m*w**2 - 5*w + 1. Let q be a(5). What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -83 - -80. Suppose -4*k = -9*k. Which is the second smallest value? (a) -5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6055 - -6663. Do 616 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3215404639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11\/108 - 5831\/540. Let r = -1759 - -12275\/7. Find the common denominator of r and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000219752 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 148 = 121*a, 4*v + 4*a + 767 = 799 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2367 + 3645 = -622*f - 1382*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, s: 1, t: 3, n: 2, j: 1}. Give prob of picking 2 n, 1 t, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jojjjjoj. What is prob of sequence ojj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + 7*g**2 + 8*g - 6. Let l be r(8). Let z be (-15)\/(-5) - (-80 + l). Let n = z + -82. Calculate the remainder when 27 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 4*o**5 + 139504*o**4 - 1116228*o**3 + 2093056*o**2 + 558064*o - 2790720 = 0.\nAnswer: -34884, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1693 + 3149. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -8*m**4 - 4732*m**3 - 540564*m**2 - 17522964*m - 8626932 = 0. What is m?\nAnswer: -453, -69, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -3*o - 11\/2*o**2 + 13\/3*o**3 + 0. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 169666.886393 + -169667. Round y to three decimal places.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 469, 138, -361, -1028, -1863, -2866, -4037?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 311 not equal to 11513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 80*k - 4862. Give b(61).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -672*j**4 + 748*j**3 - 30*j**2.\nAnswer: -2*j**2*(14*j - 15)*(24*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 0 = -66. Suppose -4*r = -18 - h. Let x be ((-15)\/r)\/(3\/(-8)). Solve -5*g = -4*a + a - 14, x*g + 4*a - 24 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 3*o + 3*h + 20, 0 = 3*o - 2*h + 38. Let z = o + 33. Suppose 2*c + z = 5*k, -4*k - 4*c + 5 = -9*c. Solve 0 = 4*l + 7 + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a - 4. Let p(w) = 5*w - 10. What is -6*p(q) + 14*r(q)?\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 7*x - 2. Let y be l(-5). Let t = 36 - y. Let z be 88\/(t\/(-25) - 2). Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 11:41 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.028 - 24.028. Let i = o - -23.93. Sort -0.3, i, -1 in decreasing order.\nAnswer: i, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**6\/v)\/v**(-3)*(v*v**(-1))**(-8) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -870 at least -869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/5)\/((-11)\/(-55)). Let k(i) = 123533*i - 58. Let d be k(17). Suppose u - 1399997 = -b + j*b, 3*b + u = -d. What is b rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*a + 5*a = -126. What is the smallest common multiple of -1 + a - ((-40)\/(-10) - 8) and 19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-11)\/5 - 3\/(-15). Let m be 2 + (3 - -1) + o. Suppose -3*k - 4*k = -28. Solve 6*u + m*h = u, -k*u = 2*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hihr when four letters picked without replacement from hrhhhfoori.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*u - 24*u - 3*i + 164 = 0, 0 = 2*u + 4*i - 344. Is u at most as big as 2052\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 16, 3, -0.2, 5, 0.5 in ascending order.\nAnswer: -0.2, 0.5, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzwwzzzwzwzzzzzvw. What is prob of sequence zw?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q\/(q**(2\/13)*q)))**21\/((q\/(q**17\/q))\/(q*q**(3\/4)*q)))**(3\/4) assuming q is positive.\nAnswer: q**(9825\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 496*x + 134. Let v be z(-13). Let l = -151619\/24 - v. Find the common denominator of l and -31\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vccrfccvvcu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w - 15*w + 26520 = 0. What are the prime factors of w?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of -2*j**6 + 2*j**3\/3 - 1. What is the third derivative of t(s) wrt s?\nAnswer: -720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 881199.5l to millilitres.\nAnswer: 881199500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1262, 2527, 3792, 5057?\nAnswer: 6322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1276942979?\nAnswer: 13, 31, 449, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 - -26. Let s = g + -16. Solve 3*q + q + s = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 548\/21 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -220687 by 4.\nAnswer: -220687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2630792.\nAnswer: 2, 328849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 28 divided by 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -16. Let u = h - 3. Suppose u*f = 5 + 15. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -m - 13*n - 19*n, n = m + 50. What is the third smallest value in -0.3, -3\/5, 0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 82321*1.39.\nAnswer: 114426.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 6*h - 22. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 42849, 342854, 1157221, 2743152, 5357849, 9258514, 14702349?\n\"Answer: 42867*b**3 - 21*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*2*sqrt(85) + (sqrt(85) + sqrt(85)*-1)*4 + sqrt(85))\/(6*sqrt(2880)\/sqrt(9)).\nAnswer: 13*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 1 = -3*s + 8, 3*m + 3 = 0. Suppose -c - s*g + 0 = -1, 4*g - 12 = -4*c. Suppose -1097 + 109 = -c*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5803 in -1, 7, 5\/3, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of -h**2 - 58*h - 1273. Let i(b) = 10*b**2. What is i(j(w))?\nAnswer: 40*w**2 + 2320*w + 33640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus 2526158869?\nAnswer: 2526158865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 2*c = 237, -1 = -4*c + 11. Let a = g + -75. Calculate the lowest common multiple of a and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*u - u - 96. Let z(g) = g**2 - 13*g + 15. Calculate z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3149 (base 16) to base 7.\nAnswer: 51533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 10*f**2 - 8*f + 18. Let y = -7 - -10. Suppose -y*j = -28 + 1. Is 14 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -132*d - 27867 + 24435 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/(42\/195)*(1848\/(-70) + 28)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 2595696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10453868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen tenths of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/19982 and 17\/5771597.\nAnswer: 1188948982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -2*j + 2. Let y(q) = q**2 + q. Let h(w) = -3*w**2 + 8*w. Let k(i) = i**2 - i. Let v(c) = -2*h(c) - 10*k(c). Let n(f) = -v(f) - 6*y(f). Give n(r(x)).\nAnswer: -8*x**2 + 16*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 575*n**2 - 331203*n + 1722. Calculate l(576).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2. Suppose -2*j + 4 = -6. Suppose 9*i - 48 = j*i. Let k(b) = i*b - 3*b - 6*b. Determine f(k(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/4)\/(11\/(55\/15)). Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**11\/x**0)**(7\/9) assuming x is positive.\nAnswer: x**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -45, -79, -147, -261, -433?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27 plus -11393?\nAnswer: -11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -1707*y - 1753*y + 1248*y = -207928 for y.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 468.5728 millilitres?\nAnswer: 0.4685728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 323 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11952, 12541, 13126, 13707, 14284?\nAnswer: 14857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 779 + -529. Suppose 0 = -10*t + 5*t + k. Suppose 422 = -26*z + 1202. Calculate the highest common divisor of t and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*i + 32. Let u = -274.71 - -8.71. Let r = 268 + u. Sort i, r, 2\/11, -3 in descending order.\nAnswer: r, 2\/11, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.1897 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 5*i**2 - 8*i + 17. Let c be w(5). Let u = c - 32. What is the units digit of 710\/7 - 5\/(u\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000110000 (base 2) to base 5.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 3*h + 1698003, 1316851 + 947143 = -4*h - 2*d. What is h rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -59 - -82. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*y**2 + 14*y**2 - 4*y**2 as g + n*y**2 + i*y and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 53362, 1, -1, 44.\nAnswer: -1, 1, 44, 53362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 848322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-32)\/(-352) + 0 + (-126)\/902 and 49\/327.\nAnswer: 13407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -2*n**2 - 20*n - 32. What is u(-10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 1)*(-2*b + 4*b + 15*b)*(1 - 1 + b).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/(-10)*45\/54. Sort -5, -0.335, 2\/19, l.\nAnswer: -5, l, -0.335, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-2))\/(8*14\/504)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (76146\/2331)\/(1 + (-2)\/(-12)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k. Let x(g) = g + 410. Let n be x(0). Let t(d) = d + n - 410. What is f(t(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28*o**2*p**2 - o**2*p + 3*o*p**3 + 6*o*p wrt p?\nAnswer: 56*o**2 + 18*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.5, -4, -64, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jxjjnjxxfjnxj. What is prob of sequence njnf?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**2 + 3*y + 2. Let q(p) = 1. Let t(b) = -3*q(b) + s(b). Calculate t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 369 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -3*g + 8. Suppose 0 = -f - 4*f + 20. Let l(m) = m - 3. Let a(y) = f*p(y) + 11*l(y). Let v(u) = -u**3 - 2*u**2 + u. Give a(b) + v(b).\nAnswer: -b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*b - p - p = 73, 1491*b - 1486*b = 5*p - 85 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*s - 52*s = 99. Calculate the remainder when 129 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22433.\nAnswer: 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 612 times -4?\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3\/4, 4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-147)*(-144)\/(-96).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -18*c**2 - 240*c - 776. Determine q(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = 17*q - 12*q. Let c(j) be the first derivative of -9*j + 2 - 9\/2*j**2 - 7\/3*j**3. Let w(d) = -3*d**2 - 4*d - 4. Give q*w(u) - 4*c(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 103 (base 4) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2110 = -427*v + 352*v + 2185*v. Let q(y) = -2 - 6*y + 2 + 1. Give q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -12*y**2 + 41*y + 22. Let a(f) = -4*f**2 + 14*f + 7. Let k(p) = 17*a(p) - 6*h(p). What is the units digit of k(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -115703013*x**3 - 20543070*x?\nAnswer: -694218078*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ryy when three letters picked without replacement from {r: 2, b: 6, y: 10}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -146\/3 + 48. Let z = -10 + 9.6. What is the second biggest value in f, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 33 - 6. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*b + 6 = 17*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/19024128 and -77\/6462.\nAnswer: 19024128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 497179.\nAnswer: 541, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64872 is divided by 361.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(0 + sqrt(605) + 2)*5.\nAnswer: -275*sqrt(5) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 5) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*1*1\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 26*a - 3. Let d(g) be the first derivative of g**2 - 1110. Determine d(m(o)).\nAnswer: 52*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1727, 3785, 9115, 19271, 35807, 60277, 94235?\n\"Answer: 259*y**3 + 82*y**2 - y + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.4 - 0.4. Suppose 5*c = 4*c. What is the nearest to -1 in 5, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 4*h**2 - 3*h**2 - 3*h + 3 + 0 + h**2. Calculate the remainder when 47 is divided by q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 185.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 84781494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = 4*i + c - 4*c, c = 0. Let n = -5 - i. Let y(f) = -f - 3*f + n*f. Determine y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 4 + 3)*(11*a + 23*a - 7*a) + (-6*a + 0*a - a)*(3 - 5 + 3) to v + c*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 526.6 and 799751970.\nAnswer: 799752496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 2*u**3 - 9*u**2 - 5*u + 4. Let k = 26 - 21. Let y be p(k). Factor -3*w - w**2 + 2*w**2 + y*w.\nAnswer: w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 39 - 38. Let x = 1 + o. Solve 2*y - 4 = -x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -1399*u**2 - u - 2. Suppose 7*c - 3*c - 8 = 0. Let v be a(c). Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 138 and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 138139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/4 - 34\/4. Let g(y) = -55*y**3 + 3*y**2 + y - 2. Let q be g(-1). Let a = q + s. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 549, 552, 559, 570, 585, 604?\n\"Answer: 2*o**2 - 3*o + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 109822, 219643, 329464?\n\"Answer: 109821*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**2 - 6*r**2 + 5*r**2 + (-5*r + 4*r - r)*(-2 - 2*r + 2) + 393*r + 219*r**2 - 393*r + 3*r**2 + 14*r**2 + 6*r**2.\nAnswer: 247*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r + 2*c + c + 333, -3*r - 5*c + 301 = 0. List the prime factors of r.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.3 + -0.4. Let l = p + 1.1. Let z = l + -1.01. What is z rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 34 + 20 = -2*f, 0 = 3*f + 8*u - 46 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3105, -5420, -7731, -10038, -12341, -14640, -16935?\n\"Answer: 2*y**2 - 2321*y - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -301 + 517. Let u be w\/40 + 2\/(-5). Suppose 0 = 2*s - 4*s - u*k + 127, 4*k = -3*s + 173. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (56\/30)\/((-3416)\/4880)*(-129)\/(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.16, 3, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -42 + 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + 4*l**2 - 3*l - 8. Give h(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 + 27 + -14 + (3 - 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of 17*v**6\/30 - 13*v**2\/2 + 17*v. What is the first derivative of g(u) wrt u?\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2\/277 + 3597\/554. What is the common denominator of -57\/122 and h?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 - 6*c + 9. Let v be s(-7). Suppose v*j - 44 + 18 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 751 + -723. What is the second biggest value in -3, k, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 16*n**2 - 9*n + 1204. Let l(x) = 7*x**2 - 4*x + 601. What is 4*f(j) - 9*l(j)?\nAnswer: j**2 - 593","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 89 + -104. Let j = 53 + y. Calculate the highest common factor of j and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32056?\nAnswer: 2, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s + 1. Let f(l) be the second derivative of 7*l**3\/6 + 3*l**2\/2 - 8503*l. Give -2*f(j) + 9*z(j).\nAnswer: 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 6, z: 4, o: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-2)*(459\/(-198))\/51.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and (-1)\/1 - (-84)\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -4913*d**5 - 49997*d**4 - 182988*d**3 - 278512*d**2 - 140608*d = 0.\nAnswer: -52\/17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 868 is divided by 357?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 - 4*i**2 - 35*i + 27. Determine u(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**2 - l - 1. Let y(j) = -13*j**2 - 7*j + 84. Let a(t) = -6*o(t) + y(t). Let r be a(9). Solve -4*f - 11 = -3*s - 3, -s - 2*f - 14 = r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 69397, 140092, 210787, 281482, 352177, 422872?\n\"Answer: 70695*y - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*m**3 - 3035946*m**2 + 1821560*m + 1214376 = 0. What is m?\nAnswer: -2\/5, 1, 303594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -1\/20*c**5 + 1\/6*c**3 + 1\/4*c**4 + 4*c + 3\/2*c**2 + 0. Give d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 74566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 76 - (-12 - -38 - 18 - (10 - -1))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 5:47 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 8*d**2 + 5*d + 6. Let i(y) = 7 + 3*y + 7*y**2 + 0 + 3*y. Let s(h) = 6*c(h) - 5*i(h). Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + 1 - (-91 + -7 + 1). What is the highest common divisor of f and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {k: 3, n: 1, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be 22\/(-28) + (-9)\/(-18). Let r be (-2)\/(-1)*(-5)\/(-2). What is the nearest to -0.1 in r, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1056)\/7560 + (-2)\/(-14). Let y(t) be the third derivative of 0*t + 1\/18*t**3 + 0 - 3*t**2 - 1\/360*t**6 + x*t**7 - 1\/60*t**5 + 1\/72*t**4. Factor y(d).\nAnswer: (d - 1)**2*(d + 1)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17 + 42. Suppose -z + m - 2 = 3*m, -3*m - 12 = -3*z. Calculate the remainder when (2 - z) + -2 + 51 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -826*w - 3003. What is g(-4)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2187601*a - 50314816. Calculate f(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 149096 and 74548?\nAnswer: 149096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 162*i - 20. Let b(u) = 305*u - 39. What is -4*b(s) + 7*n(s)?\nAnswer: -86*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 28850191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 12015450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.79 and 28641.535566.\nAnswer: 28642.325566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 - (2 - (4 - -2)). Solve a*i + i = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2828 a factor of 39781476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4602210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, -4, -819, -5 in descending order.\nAnswer: -1\/5, -4, -5, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 6)*(5*u - 5*u + 25*u)*(0 + 3 - 4)*(0*u**3 + 5*u**3 + 0*u**3).\nAnswer: 625*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of 7*s**5\/30 - 20*s**2 - 2. Let f(c) = -c**2. What is d(f(i))?\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 5192*u**2. Let j(q) be the second derivative of -q**4\/6 - 3815*q. Give k(j(b)).\nAnswer: 20768*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*h**2 - 254*h**2 + 32*h - 412*h**2 + 25*h.\nAnswer: -802*h**2 + 57*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -28 + 88*v - 4*v**2 + 122 + 124 - 26.\nAnswer: -4*(v - 24)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k - 6 + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 1:10 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/1068 and -113\/6?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 8499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-16)\/(-6)*18\/8. Suppose -3*v - 5*v = -112. Let k be (z\/(-4))\/(v\/(-4)). Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = x. Suppose 2*q = -2*h + 4*h + 2, x = -4*h + 2*q. Suppose 3*y = -2*d - 11, 7*y - 21 = 2*d + 12*y. Put h, d, 3 in decreasing order.\nAnswer: 3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 1 + ((sqrt(304) + 0)*1)**2 + (2*sqrt(2052) - sqrt(57))\/(-6*sqrt(15)\/sqrt(5)).\nAnswer: -11*sqrt(19)\/6 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6683827 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes after 5:47 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6518 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2\/5 - 131411*n\/5 + 262818\/5.\nAnswer: (n - 131409)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 77949*r**2 - 77893*r**2 + 1 - 77897*r**2 + 311630*r**2 - 77890*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24186*i - 3901356 = -24222*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 10? (a) -3 (b) 0.3 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of -3\/2*k**2 + 43 + 0*k**3 - 11\/4*k**4 - 10*k. What is the derivative of f(r) wrt r?\nAnswer: -33*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 23*l + 322. What is y(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/2, 0.07, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 2 = -p, -2*c + 10 = p + 20. Is ((-10)\/(-15))\/(p\/(-83493)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 843\/((-1)\/(-4) - (-25074)\/56). Let x = m - 301\/64. What is the common denominator of -71\/140 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -14640, -14645, -14650?\n\"Answer: -5*w - 14635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*x = 29*x - 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2)*(-6*y + 6*y + y**2) + (y**2 + 2*y - 2*y)*(-9 - 3 + 2)*(-3 + 2 - 1) to h*y**2 + q + b*y and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 4*(-5*((1 + sqrt(7) - sqrt(7)) + -5) + 2))**2.\nAnswer: 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -113 + 6. Let n = -97 - m. Let p = -22 - -45\/2. Sort p, -1\/2, -3, n.\nAnswer: -3, -1\/2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5042236?\nAnswer: 2, 263, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from veevvvvrrvvvvwer. What is prob of sequence vv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = -4*u + 21, -3*u + 12 = l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -2079 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2276\/3419 - -10\/10257. Factor 2\/15*l**4 + 0*l + f*l**3 + 0 + 2\/5*l**2 - 2\/15*l**5.\nAnswer: -2*l**2*(l - 3)*(l + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*a + 52*a - 4*y + 12 = 0, 0 = -2*a + 5*y + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 185989854 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2 times -218\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*y + 4*y + 16*y - 4*y + 6 to the form b + g*y and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 991575*c*x + 57472694*c + 3*x**3 wrt x.\nAnswer: 991575*c + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2 - 5*v - 4.\nAnswer: -(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2156988?\nAnswer: 2, 3, 179749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -45*l + 627. Calculate v(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 19237991699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 207 and 2960739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1799 + -1798. Do y and 1\/165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 323 divide 94007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202454?\nAnswer: 2, 7, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*h + 13*h + 144 = 0. Let t(d) = d**3 + 3*d**2 - d - 1. Let p(c) = c - 4. Let m be p(2). Let x be t(m). Solve 9 = x*r + h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**2 + 3*i + 1. Suppose -16 = 4*l - 44. Let f(j) = 5*j**2 + 7*j + 2. What is l*c(z) - 3*f(z)?\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 204747.\nAnswer: 3, 139, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 524530 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 315, 487, 775, 1179, 1699, 2335, 3087?\n\"Answer: 58*b**2 - 2*b + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 908*c**2 - c + 0*c - 2379*c**2 - 2388*c**2 in the form t*c**2 + k + x*c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-28))\/(5\/2*40\/(-100))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4e (base 15) in base 16?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(12)*4 - (-1 + sqrt(27)))*1 + -5.\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4036, 8065, 12088, 16105, 20116, 24121, 28120?\nAnswer: 32113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 + 14*p**2 + 9*p - 14. What is the hundreds digit of x(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -2*l - 7. Let q be m(-6). Let j(t) = -6 + 4 - q*t + 6*t. What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16 - 16*g**2 + 16)*(211 + 115 + 129 + 167 + 271).\nAnswer: -14288*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2697 - -2711. What is the fourth biggest value in f, -3, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(24\/15 + -2). Suppose -25*i + 14*i = -52745. Is (-2*i)\/h + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 2*u + 56892, -u - 9 = -2*u. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 - 4*q - 63. Let t be g(0). Let i = t + 71. What is the second derivative of 26*j**2 - 3*j - 17*j - i*j wrt j?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 26*s + 6393. What are the prime factors of x(-58)?\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -181\/2940 and -103\/5229672.\nAnswer: 26148360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -10*z + 33. What is the third derivative of -62*w**2 + 38*w**2 + 5*w**5 - 15*w**z wrt w?\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -93 less than 6489.281191?\nAnswer: 6582.281191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 688*q**4 + 13*q**2 - 693*q**4 + 4*q**2 wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -52\/9 and -88\/855981?\nAnswer: 855981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.2423 + 2.0423. Which is the third biggest value? (a) 9 (b) 0.4 (c) 1\/2 (d) t (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 50.5697 millimeters?\nAnswer: 0.0505697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13 + 21. Is 20 a factor of 3\/(-2) + 332\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-m - 3*m + 2*m)*(0 + 2 - 5) + 3*m - 11*m - m)*(-1 + 1 - 2*m**3) - 8*m**4 + 0*m**4 - m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 15493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 16 = -x, 3*x - 2*b - 52308 = -52315 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 998 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5911*d - 41965 = 84*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*j = -3*k - 10*j + 4066, 3*j - 4080 = -3*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:09 AM and 10:47 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -21*y**2 - 5*y - 26. Calculate q(-3).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 3*b - 19 = 0, 2*i - i = -b - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 55, 23, -1, 1, -3, -5.\nAnswer: -5, -3, -1, 1, 23, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 4269392100 to the nearest one million.\nAnswer: 4269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 4*o - 3. Let f be a(2). Let y(b) = -3*b**3 + b**2 + b + 1. Let q be y(-1). Suppose 1 = -q*w + 13. Solve -5*x + f = 2*g - 6, 10 = w*g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191628 is divided by 190531?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of -p**6\/72 + p**5\/24 + 2*p**3\/3 - 3. Let z(v) be the third derivative of t(v). What is the second derivative of z(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -5.4274853925607 and -10.\nAnswer: -15.4274853925607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 5*n + 34. Let w be h(-10). Calculate the common denominator of 76\/33 and (-38)\/(-57)*(-25)\/w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*b - 4*g - 19, -5 = g. Solve -2*p - 5*n + 17 + 9 = 0, 4*p - 5*n = -b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-21)\/35)\/(135\/50).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of 7*u**5\/60 - u**4\/12 - 3*u**3\/2 + u**2. Suppose -10*m + 23*m + 52 = 0. Is v(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2531.746 litres in millilitres?\nAnswer: 2531746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 252409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, -264, -992, -2418, -4776, -8300, -13224, -19782?\nAnswer: -28208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -418 divided by 2027190?\nAnswer: -19\/92145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, p: 1, m: 2, h: 3}. What is prob of picking 1 r and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 73*r**2 - 2*r - 4. Let l be t(-2). Suppose 0 = 3*u + 1012 - l. Let x = -129 - u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -d9c (base 14) in base 9?\nAnswer: -3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of 29*p**4\/12 - 17*p**3\/6 + 3*p**2. Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1038*a**3*w**3 - a**2*w**3 + 16*a*w**3 + a*w**2 - 2*a*w wrt a?\nAnswer: 6228*a*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34224, -137094, -308534, -548538, -857100, -1234214, -1679874, -2194074?\nAnswer: -2776808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -127 + 360. What are the prime factors of v?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4*(-20)\/(-32)*(-16)\/(-2) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5011115 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - r + 18 = 0. Let d be r\/(-9)*(-15)\/(-10). Which is smaller: d or 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*y - 10*d - 348 = 0, -2*d = 2*y + 102 + 113 - 147 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567)\/(sqrt(36)\/sqrt(4)) + sqrt(63))\/sqrt(9) - ((sqrt(112)*-4)**2 + sqrt(7) + ((sqrt(28)\/(1*sqrt(4)))**2 - sqrt(7)))) + -5.\nAnswer: -1804 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8151 is divided by 1828?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 5*m + 5 = 0, 0 + 1 = 3*w - 5*m. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 2. List the prime factors of 0 - 6\/3 - r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -27830 and 2757371?\nAnswer: 2785201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27.5 - 27.1. Put -2\/11, -0.9, -3, k in ascending order.\nAnswer: -3, -0.9, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1034 divide 191076770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0.38, -249, -10 in increasing order.\nAnswer: -249, -10, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3262*m + 95822 + 103058 - 60719 = -142371 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19673\/3 - 1021793\/156. Let s = z + -29\/4. Let j = 92.2 + -92. Which is the third smallest value? (a) s (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqllqmmqlllq. Give prob of sequence qm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36 + -32. Suppose 0*p + 14 = -2*p - y*n, 3*p + 2*n = -33. Let t = 57 - 70. Does p = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from unnwwwwwu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 9*n**2 - 58*n + 28. Calculate the lowest common multiple of o(8) and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9833.\nAnswer: 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the first derivative of -3*d**4\/28 - 15*d**3\/7 - 225*d**2\/14 - 375*d\/7 + 12. Suppose q(r) = 0. Calculate r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 10:27 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2\/7))**(-17)*(k**2)**45 assuming k is positive.\nAnswer: k**(664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -37 - ((7 - 47 - 25) + 12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*v + 3901 = 13783. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6.3 + 8. What is the third biggest value in -3, 0.4, z, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9072940068?\nAnswer: 2, 3, 677, 372269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/(-20)*2)\/(2*(-1)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -l**2 - 1896*l**3 + 2*l**2 - l**2 + 1926*l**3.\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11*c**4 - 1856 + 1050 - 68*c - 3223 wrt c?\nAnswer: -44*c**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 22*z**3 - 219520*z**2 + 547183294*z + 2092446804 = 0?\nAnswer: -42\/11, 4991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -3*x**3 + 4*x**2 - x - 2. Let o be w(-3). Suppose -o = -3*n + n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - f**2 + f + 4. Let g(w) = w**2 + w. Let k be g(0). Let q be m(k). Sort 5, q, 3.\nAnswer: 3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -49*p + 1 + 1 + 67*p. Let y be g(-4). Let i = -34 - y. Calculate the highest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -208*h**5\/9 + 1034*h**4\/9 + 5234*h**3\/9 - 25870*h**2\/9 - 850*h\/9 + 500\/9 = 0. What is h?\nAnswer: -5, -2\/13, 1\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 less than -2.427447?\nAnswer: -1.127447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -343*b - 1420 - 500*b + 2019 + 3132 wrt b?\nAnswer: -843","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2 + (-59)\/(-28))*2 and 622\/108 + ((-400)\/60 - 20\/(-12)).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18\/(-24) - (-4 + 447\/180). Let g = 4\/15 - u. Let b = -55 + 167\/3. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 44\/529 and 14\/115.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/3*(-2349)\/54. What is the second smallest value in -2\/11, d, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*m = -44*m - 108. What is the smallest common multiple of 36 and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -u + 2*u - 4*q, -u = -5*q + 15. Let n(p) = -p**3 - 4*p**2 + 4*p - 4. Determine n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(68)*3 + -1*(sqrt(68) + -2))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkzkknozkokkkk. What is prob of picking 1 z and 1 k?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of -w**5\/20 - w**4\/2 + 7*w**3\/6 - w**2 + 2*w. Let v be h(-7). Let i = 9 + v. Solve -4*o + 15 = -i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -3*x**4\/5 - 156*x**3\/5 + 9*x**2\/5 + 462*x\/5 - 312\/5 = 0.\nAnswer: -52, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 49 and 175.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 6:40 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3026749 take away -1.3?\nAnswer: 0.9973251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the first derivative of 3172*h**7\/7 + 2881*h**3\/3 + 1640. Find the third derivative of m(p) wrt p.\nAnswer: 380640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2118 or -409?\nAnswer: -0.2118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 5 = -4*w. Let s be 2\/6 - (-70)\/6. Suppose -3*p = -5*p - s. Is p at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3034967\/19950 - -122\/1425. Let d = 305\/2 - u. Let 0 + 0*x + d*x**2 = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*r + a, -4 = -a - a. Let o(y) = -3*y**3 + y**2 - y - 5. Let j be o(r). Let h(l) = l**2 + 5*l - 2. Let u be h(-6). Solve m = -u*m + j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-6)\/(-10))\/(33 + -30). Let q = 220\/13 - 1087\/65. Suppose b*t**3 + 0 - 2\/5*t + q*t**2 = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2 + 13499588*m + 13499590.\nAnswer: -2*(m - 6749795)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 20, 43, 90, 173, 304, 495, 758?\n\"Answer: 2*u**3 + 9*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.19333 - -870382.9.\nAnswer: 870380.70667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1083, -3933, -8795, -15669, -24555, -35453?\n\"Answer: -1006*h**2 + 168*h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:45 AM and 9:33 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 47\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1984863?\nAnswer: 3, 661621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -3*u**2 + 2*u**2 - u**2 + (-3 + 3 + u)*(-28*u - 52*u + 15*u) in the form m*u**2 + k*u + x and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -288*c + 278*c - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 9 = -5*a, -5*t + a + 0 = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-108)\/(-810) + (-94)\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 28 = -w - 2*x, -3*x = -3*w - 18. Let r = 18 + w. Factor -r*m - 25 + 21 + 4*m**4 + 8*m**3 + 0*m**4.\nAnswer: 4*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z + z + 9*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-26)\/(-2) - (-59558 + (-95)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -206 = -13*b + 5*i - 325, -b + 4*i = -52 + 119 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5 + (-256)\/(-51))*-4*1. Let v = w + 46\/153. Factor -v*r + 4\/9*r**4 - 4\/9*r**2 + 0*r**3 + 0 + 2\/9*r**5.\nAnswer: 2*r*(r - 1)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*b = j + 115, 76250 - 76270 = -3*j + 4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-98)\/1715 + (-64)\/(-70)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 496 and 13552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j**2 + 7*j - 6. Let p be y(1). Suppose -4*w + 4*n = -28, -p*w + 58*n = 53*n - 33. Solve -w*b + 2 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide (20 + -1)*(2 + 114 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -857901*o + 12868514. What is d(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1719 - -3.1719. What is the smallest value in -7, -1, -26, h?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -67 (b) -0.214 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22226642974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 175*c**2. Let b(y) = -3*y**2 - 334*y - 4. Determine b(a(o)).\nAnswer: -91875*o**4 - 58450*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is s in -s**3\/8 + 226*s**2 + 3619*s\/8 + 905\/4 = 0?\nAnswer: -1, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z**2 - 2*z. Let f(s) be the third derivative of s**6\/120 - s**5\/30 + s**4\/24 - s**2. Let b be 60\/(-20) - ((3 - 3) + -5). What is b*v(o) + 3*f(o)?\nAnswer: 3*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 548583869 is divided by 1006.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5, -18, -0.61, -91, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000111111 + 1?\nAnswer: -10000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 794 and 771218552.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**3 + 69*y**2 + 880*y + 152. What is the lowest common multiple of 768 and v(80)?\nAnswer: 14592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 2*j + 316 = 0, 94*c - 98*c + 637 = -3*j. Calculate the remainder when c is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -75110*u - 74722*u - 5*u**3 - 5*u**2 + 150192*u = 0. Calculate u.\nAnswer: -9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 100*w**2 + 379 wrt w?\nAnswer: 200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + 34*g**2 - 27*g + 298. Let c be u(-35). Put 10, 1, c in decreasing order.\nAnswer: c, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10019*r + 58*r**2 - 2*r**4 - 10019*r + 2*r**3 in the form p*r + x*r**4 + j + h*r**2 + f*r**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 361 + 25. Let p = c - 386.001122. Round p to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.151430259 from -0.02.\nAnswer: -0.171430259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/((-192)\/108))\/(2\/(-8)) + 7. Let j(b) = -4*b**2. Let h(i) = i**2 + 4*i**2 + 4*i**2. Determine d*h(m) - 5*j(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 9747 = 6*h. Let d be 665\/h + 1\/3. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 171162586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1431*c**2 + 24 + 21 - 45.\nAnswer: 1431*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6.6582 rounded to 2 decimal places?\nAnswer: 6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -40 and 0.08899595?\nAnswer: 40.08899595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -570*v + 145*v + 141*v + 142*v + 144*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11918281 divided by 11918281.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -585*g + 17556. What is y(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4514372704?\nAnswer: 2, 701, 201247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 355 (base 13) to base 9\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*h + 132*h = 53*h + 20. Let r be 1 + -1 + (1 - -2). Let s(a) = -r*a - a + 0*a + 2. Give s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 33870 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together 24 and -0.171.\nAnswer: 23.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 2320797000 to the nearest 1000000.\nAnswer: 2321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 3*t**4\/7 - 120*t**3\/7 + 90*t**2\/7 + 1080*t\/7 - 1053\/7 = 0.\nAnswer: -3, 1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2953203*d**3*t**2 + 6060*d**3*t - 76*d**3 wrt t.\nAnswer: -5906406*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 60908560633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the third derivative of 0*t - 7\/6*t**3 - t**2 + 0 + 1\/30*t**5 + 0*t**4. Differentiate k(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 - 9*n + 72. Let u be o(5). Find the third derivative of -3*l**u + 204*l**4 - 405*l**4 + 100*l**3 + 200*l**4 + 28 wrt l.\nAnswer: -24*l + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 259250102 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-77)*(32 + -21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 3*y - 105, -n = -0*n - 3*y - 37. Suppose 0 = 2*v - 87*m + 86*m - 73, -3*m + 131 = 4*v. Is n at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**2)**(-40\/3)\/(j**(-2\/13)*j**(-9\/5)))\/((j\/(j\/(j**(-2)*j))*j**(-1))\/(j\/j**2)**(-5)) assuming j is positive.\nAnswer: j**(-3454\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2790*v - 2787*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, p: 3, k: 2, y: 5, q: 3}. Give prob of sequence py.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-123)\/1476*(2 + (-28)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n**2 + 34 + 4*n + 19 - 55. Let i(a) = -20*a**2 + 20*a - 17. Let l(g) = 7*g**2 - 7*g + 6. Let s(t) = -6*i(t) - 17*l(t). What is -k(f) - 3*s(f)?\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/361 + 379\/3249. Which is greater: o or -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12069872 is divided by 102.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 584641\/36 + -16240. Let p = -10063\/3 - -134193\/40. Find the common denominator of p and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -11. Let l be -3 - -1*(u + 3). Determine i, given that -8\/3*i**2 + l + 8\/3*i + 2\/3*i**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 40367, 161611, 363703, 646649, 1010455, 1455127, 1980671, 2587093?\n\"Answer: z**3 + 40418*z**2 - 17*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 20*m - 6*m - 7*m + 6 - m wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = -4*b - 0*s + 6, -8 = -2*b + 3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 20517 times -102\nAnswer: -2092734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**2\/w)**(-14\/5) assuming w is positive.\nAnswer: w**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 4*r + 3938, 2*r - 6270 = 24*i - 32*i. What is the greatest common divisor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = 5*c - d, -2*c + d - 3*d + 42 = 0. Suppose -s = 2*s - 528. What is the greatest common divisor of s and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*n + 2*l = -11*n, 0 = -3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4608 and 4641975?\nAnswer: 2376691200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1484*w = -1525*w + 1394. What is the remainder when 758 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2946167396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -z**8\/336 - z**4\/24 - z**2 + 3. Let l(c) be the second derivative of j(c). Find the second derivative of l(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.8966 - 0.1034. Which is the closest to -2\/5? (a) 23 (b) l (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6 - -0.124?\nAnswer: 0.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, -21, 0, 0.2 in increasing order.\nAnswer: -21, -1\/6, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 + 3*b - 2. What is z(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w + 0 + 5*w - 61*w**2 + 52*w**2 + 3 in the form r*w**2 + v*w + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 10334 + 6*k**2 + 8*k - 10334 + k in the form f*k**2 + t + h*k and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -5237*d. Let g(s) = -5*s. Calculate k(g(f)).\nAnswer: 26185*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -232240, 2, 1 in increasing order.\nAnswer: -232240, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-312158)\/34459)\/(6\/51)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y**3 - 16*y**2 + 17*y - 27. Let h(c) = -c**2 + 175*c - 5099. Let n be h(37). Calculate p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwppwwpwpwtpwpw. Give prob of picking 1 w and 3 p.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 AM and 3:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of -3*c**3 - 3. Let o = -38 - -39. Give g(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(147)*-2 + sqrt(147))*-2)**2*-5 + (5*(sqrt(147) - (sqrt(147) - -2*sqrt(147)) - sqrt(147)))**2*-4)*-4 + 0.\nAnswer: 540960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -247 + 3?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1746447 divided by 81\nAnswer: -582149\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -1) + 20 - (89 - (68 - -26))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/8508 and -93\/163508?\nAnswer: 347781516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 21\/(-15) + 3\/(-5). Let i be (y + -3)*(-54)\/(-15). Calculate the remainder when 34 is divided by i\/((-21)\/6 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/((a\/(a*a\/a**15))\/a))\/a)\/((a*a**1\/a)\/a)*(a**(4\/7)*a)\/a**(-1\/4) assuming a is positive.\nAnswer: a**(-313\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -3*a**2 - 111*a + 42804. What is i(-139)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 3\/8 (b) -3\/4 (c) -0.13 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-4)*(48\/6)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21\/304 and -47\/7600?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 577650 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/44*11)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*h**3 + 141*h + h**3 - 141*h.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.38 + 1.18. Let i = 83231\/30 - 2774. Let f = 7\/10 - i. Which is the closest to f? (a) 3 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 AM and 3:57 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6 - (-2 + 2)\/(-5). Let s = -9 + 12. Suppose -s*d = g, -3*t - 4*d - 38 = -8*t. Calculate the remainder when 22 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of 4*p**3\/3 + 2*p**2 + 2*p + 5. Let w be z(-17). What is the remainder when w\/17 - (-2)\/(-17) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 3*c**2 - 56*c + 285. Let f be p(5). Solve 37*o - 17*o = -f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2225 + 2614. Solve f = 5*x + 379 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (18 - 1 - 57) + -26 + 8 + (-13 - -17)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**6\/80 - 9*b**5\/20 - 41*b**4\/16 + 15*b**3 + 944*b**2. Factor v(j).\nAnswer: -3*(j - 1)*(j + 4)*(j + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = -5*n + 256, 2*z + 847*n + 54 = 848*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 9*y. Let l(x) = 50*x - 1. What is p(l(b))?\nAnswer: 450*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l + 6344079 - 3171890 - 3171962.\nAnswer: 2*l + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -11.4 and 0.14451.\nAnswer: -1.647414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.342 - -0.042. Which is the biggest value? (a) k (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1023*k - 2 = -1022*k - 9*c, -3*c + 6 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 + 74*o**2 + 44*o + 29. Does 12 divide k(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10071245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(1900) + sqrt(1900) + -2 + -3 + (sqrt(1900) + -2*(sqrt(1900) - sqrt(1900)*-2) - sqrt(1900)) + 4)*6*4)**2 + 1.\nAnswer: -92160*sqrt(19) + 17512705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i\/(i*(i\/(i\/(i\/i**13)*i))\/i)*i*(i\/(i\/(i*i**(5\/7)*i)))\/i*i)**41 assuming i is positive.\nAnswer: i**(5658\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -67\/4 - -17. Let i(z) be the first derivative of -q*z**4 + 0*z - 1 - 2*z**2 - 4\/3*z**3. Suppose i(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5116954 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -6*r + 2*w + 7667, 3082 = 2*r + 3*w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 0.6649\nAnswer: -0.13298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 2*o + 346 = 0, -5*m + 2*o + 1754 = -2*o. Suppose -25*n + m = -27*n. Round n to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 266131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus -0.0384?\nAnswer: -0.2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - (0 - 2) - -35. Suppose -z + 38 = 5*n, 3*n - z - 8 = 10. Calculate the remainder when (-1)\/(((-2)\/t)\/1) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 165*j - 205 = 124*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 9 + 13 - -4 - 6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**5\/5 - 2346*j**4\/5 + 62412*j**3\/5 + 15292*j**2 - 330762*j\/5 + 194238\/5 = 0. What is j?\nAnswer: -1199, -3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2463, 4926, 7389, 9852, 12315, 14778?\n\"Answer: 2463*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26 + -36. Let x = 28 + b. Let v = x + 18. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -0*w - w - 5*g, 1 = -4*w - 5*g. Calculate the remainder when (-161)\/(-4) + w\/(-24) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -135 + 94. List the prime factors of ((-12)\/(-9) + -2)*(h + -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 213*h - 20 = 2*o + 208*h, -o + 2*h = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 63 divided by 8\nAnswer: 63\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 631 + 462 + 59 = 48*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 21*r**3 + 2*r**2 + 12*r - 3. Let s(p) = -44*p**3 - 3*p**2 - 23*p + 5. Let u(x) = 5*i(x) + 3*s(x). Find the third derivative of u(o) wrt o.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*1 - (13 - -20 - 39). Solve 0 = a*o + 4*m + 28, 14*o + 4*m + 12 = 13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.8161335 years?\nAnswer: 0.008161335","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let n = 30 + -22. Let d be 20390\/40 + 2\/n. What is the units digit of (2\/(-3))\/((-4)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, a: 1, m: 1, p: 1}. Give prob of picking 1 p, 1 h, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 15*w**2 + 10*w + 5. Give q(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 10*l**2 + 13. Let h(k) = 20*k**2 - 2*k + 26. Give -5*d(b) + 3*h(b).\nAnswer: 10*b**2 - 6*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14\/17? (a) -4 (b) 0.3 (c) -606 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -6 - 3 - 4 - 5 + 9 - 46*j as f*j + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/12 + (-6)\/9*-1. What is the closest to 0 in b, -1, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from {t: 2, h: 4, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1947732 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**3 + 38*m**2 + 27*m - 375. Let b be q(-37). What is the closest to 1 in 0.3, b, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (3 - 4) + 7 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 4*d**2 + 28*d - 36. Is 12 a factor of n(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -3*p + 3*u + 3163, p + 5*u = 762. Let y = p - 715. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -6 and -1608.\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(95) + 1*sqrt(95)))\/(sqrt(10)\/sqrt(50)).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1048\/2620 + -1 + (-23)\/(-5). Solve 2*c - 4*h = -8*h + g, 3*c - 16 = 4*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -46 + 50. Suppose i*l - 206 = s, s - 5*s = -4*l + 200. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -110828 divided by -2\nAnswer: 55414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 14 + 21. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 62545?\nAnswer: -1\/62545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -348 = -14*i + 366. Suppose 5*b + 2*n - 1026 = 0, -2*b + 7*b - 2*n - 1014 = 0. Calculate the highest common divisor of b and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 + 32*t**2 - 57*t - 53. Is m(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2488*y - 2380*y + 2052 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 3 = -i. Let g(z) = 2*z + 4. Let s be g(i). Let m(f) = f - 7. Let y be m(s). Solve -h + y = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4\/5 + 7*o**3\/5 - 307*o**2\/5 - 2743*o\/5 + 3042\/5.\nAnswer: (o - 18)*(o - 1)*(o + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, v: 5, t: 5}. What is prob of sequence vq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 4, s: 5, a: 3, z: 1}. What is prob of picking 3 a?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -293970 divided by 3\nAnswer: -97990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 4) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 44*a**2 - 53*a + 6. Let t(j) = 250*j**2 - 319*j + 34. Let s(u) = 34*h(u) - 6*t(u). Factor s(y).\nAnswer: -4*y*(y - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 0.1 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -3000 divided by -100\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 2782956.\nAnswer: 69573900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of -u**3\/3 + 5*u**2\/2 - u - 2. Let w be q(5). Which is smaller: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 392320 and 917120?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2358451 - -723?\nAnswer: -2357627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*u**4 - u**4 - u**4 + (-1085 - 1054 + 30)*(32 - 32 + u**4).\nAnswer: -2107*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011000010010100111010000 + -10?\nAnswer: -10011000010010100111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 28547 - 28924. Let o be (-5268)\/14 - 10\/(-35). Is o <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 185.5 + -150.44. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -2*t - 2*t**2 - 10*t**3 + 5*t**3 - 1 + 0*t**3. Let o be f(-1). Suppose -303 = -5*a - 2*p, -o*a + 8*a - p - 245 = 0. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (22*(33\/(-6) - -4))\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -68.29 times -157.22\nAnswer: 10736.5538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -2. Let r = 26 - 17. Let k(m) = -m**3 + 8*m**2 - 12*m + 3. Let h be k(6). Solve 2*v + h = s - g, 3*v + r = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(36) + sqrt(2916)*2 - sqrt(36))\/sqrt(6))\/(4*sqrt(12) + sqrt(432)).\nAnswer: 9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/18 + 0 - (-36 + (-2202)\/(-54)). What is the nearest to 0.2 in u, -2, 0.19, -1\/5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*2*sqrt(190) + sqrt(190))\/(sqrt(10) + (sqrt(80) + (sqrt(80)*2 + sqrt(80) - sqrt(80)))\/sqrt(8) + sqrt(10)) + (5 + sqrt(304) + 1*sqrt(19)*3)*6)*-6.\nAnswer: -246*sqrt(19) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 601 and 3937151?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16 - -10. Let n(d) = 4*d + 26. Calculate the lowest common multiple of n(i) and ((-5)\/(-3))\/(20\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (3 + (-5 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42371 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 6:42 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -30 - 24. Suppose -5*w = t - 346, 198 = 2*w + w + 3*t. What is the remainder when w is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, -4737, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a - 2740 = l - 2724, -3*a + 31 = 5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -34 + 40 - (15 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 15) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + 4*j - 210. Suppose 0 = 8*k - 39*k + 186. What is the units digit of 364\/j - (-2)\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.34 - -8. Let t = -0.26 + y. What is the closest to -1 in t, 4, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = r - 4*b, -2*b = -3*r + 10. Let g(t) = t**2 - 5*t - 46. Let m be g(-5). Solve r = m*z - 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54289493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4635, -4633, -4631, -4629, -4627, -4625?\n\"Answer: 2*t - 4637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1214*l - 1210*l = 5*y + 18, 2*l + 3*y + 2 = 0. Calculate the least common multiple of l and 8934.\nAnswer: 8934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -908737 or -908740?\nAnswer: -908740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -4. Let g(r) = 21*r + 69. Suppose -11 = 3*w - 2. Let m be g(w). Which is the smallest value? (a) 5 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2157 + 3090. Let s = 1510 - b. Suppose s + 822 = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -733.96 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -300 - 531*c + 300 - 2 + 1 - 3*c - 7 + (4*c + 2*c - 4*c)*(-1 - 1 + 1) + c + 2*c - 5*c to d*c + b and give d.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -15.\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:24 PM and 1:02 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 6*g + 40. Suppose 0 = g*k - j + 5*j + 14, -4*j + 34 = -3*k. Is 61 + k\/6 + (2 - 0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 154626 + -308396331\nAnswer: -308241705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-135)*-1*-6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -39 - -1 - (361 - 378)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (20 + 2)\/((-1)\/1). Let b = 425 + -394. Let t = b + f. What is the least common multiple of 10 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 9\/25 of a millimeter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - -11. Suppose 2*u - 7*u - 25 = 0. Let l(f) = f**2 + 6*f + 7. Let b be l(u). Calculate the greatest common divisor of d and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131587 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-26)*(v*v\/(v**(-14)\/v))\/v*(v**(-1\/21)\/v)\/(v\/(v\/(v*(v\/v**(-1\/3))\/v))) assuming v is positive.\nAnswer: v**(-260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 100523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of b**8\/560 - 3*b**7\/350 + 29*b**2. Factor c(m).\nAnswer: 3*m**4*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17054367 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 434 = 7*h. Let l = -35 + h. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 106 + -106. Which is the nearest to 0? (a) 5 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the second derivative of -5*a**3\/2 - 3*a**2\/2 - 7*a. Let x be h(-1). Let j = x + -7. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4\/9 (b) 2\/5 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 6 = -3*v, -2470 = -3*d + 5*v - 1248 - 1243 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -47.11 + 46.11. Let i = 6 + -3. Let n = i - -1. Which is the nearest to d? (a) 0.01 (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10)\/(sqrt(5) + sqrt(20) + sqrt(5)) + 5*(1 + sqrt(2) - sqrt(2)))**2.\nAnswer: 5*sqrt(2)\/2 + 201\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, -1, -8, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3*j = 17, -2*j = 3*a - 5*j + 24. What is the lowest common multiple of 6 and (a\/(7\/(-5)))\/(1\/10)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97607 - -1144.\nAnswer: 98751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 95 = -w. Suppose -3*k + 4*r - 12 = -4*k, 4*k = 2*r - 6. Suppose k = o - 4 - 3. What is the remainder when w is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 2:44 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 5*w**2 - 11*w - 229. Let g be p(8). Sort -1\/2, -2, 41\/3, g.\nAnswer: -2, -1\/2, g, 41\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -2\/3 (c) -3 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2406135263 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = -k - 4, 8 - 28 = 4*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 19 = 4*x, 3*a = -a - 2*x - 20. Let u be 15 - a\/(-12)*0. Suppose -3*z + u = -0. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 164823, 164843, 164877, 164925, 164987, 165063?\nAnswer: 165153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of y**4\/4 + 25*y**3\/6 + 31*y**2\/2 - 16*y. What is the tens digit of q(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3100500 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: Let t(p) = 16*p - 122. Let d(u) = -5*u + 41. Determine -10*d(w) - 3*t(w).\nAnswer: 2*w - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -5*b + 12. Suppose b = 2*s + 3. Solve -1\/4*z + 0 - 27\/2*z**4 - 27\/4*z**5 - 5\/2*z**2 - 9*z**s = 0 for z.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 81 - 38. Let q = w + -39. Solve -5*t + 26 = q*d, -4*d + 4 + 8 = -2*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -g - 10. Let z be (-9)\/(-2) + 3\/(-6). Suppose 2*h + 6 = 4*w, z = w + h - g. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d, -275 = 5*k - 2*d - d. Let n = k - -60. Suppose -z = -o + 2*z + 117, n*o = -4*z + 566. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.51 - 0.51. What is the second biggest value in 0.2, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 178707940.99999796 + -178707905. Let x = 0.68 - -35.32. Let q = x - r. Round q to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5868 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0 (b) -2\/13 (c) 0.3 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 45.1 * -3.\nAnswer: -135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 971210?\nAnswer: 2, 5, 17, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 132 - 162. Let g(u) = 5*u**2 + 9*u + 10. Let q(c) = 4*c**2 + 8*c + 9. Calculate n*g(t) + 7*q(t).\nAnswer: -2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 36828 - -10955. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2365839*0.13.\nAnswer: 307559.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3540579673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -332 - -321. Which is the third smallest value? (a) 0 (b) 26 (c) j (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -24\/53 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 167412?\nAnswer: 2, 3, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 2*l + 60 + 52, 4*w = -3*l + 223. Let b = w - -124. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 314122341 - 1?\nAnswer: 314122340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/4))**(-34)\/(((((a\/(a*a**(1\/10)))\/a)\/a)\/a*a)\/(a\/(a\/((a\/(a*a**5))\/a)))) assuming a is positive.\nAnswer: a**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/((o\/(o*o*o**(3\/8)))\/o))\/o)**28\/((o*o**(-8)\/o)\/(o\/o**(-7))) assuming o is positive.\nAnswer: o**(165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 3*j + 5 = 0, 2*j = -s + 6*s + 11. Let r(c) = -c**3 + c**2. Let h be r(s). Suppose -4*k = -4*u + h*u - 12, k = 4. Solve d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -59*i - 8. Let f = 360 - 367. What are the prime factors of x(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*f + 6*f - 416 = -12*f. What is the highest common divisor of f and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from ppwppwwuspiip.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -68 + 71. Suppose -2 - 3 = -5*a. What is the third smallest value in j, -3\/4, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 362674.\nAnswer: 72534.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 89*r**2 + 5*r**2 + 8*r**2 as c*r**2 + p + t*r and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -143992997\/664 - -216857. Calculate the common denominator of 57\/581 and f.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 0, 2\/161.\nAnswer: 0, 2\/161, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1841835 is divided by 613845.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -2\/449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of y**5\/20 + 37*y**4\/12 - 83*y**3\/2 + 387*y**2\/2 - 722*y. Factor u(v).\nAnswer: (v - 3)**2*(v + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002070765463 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*v**5 - 20*v**4 - 24*v**3 + 16*v**2 + 32*v.\nAnswer: -4*v*(v - 1)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32742?\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1013 + -1013.1. Let t = 0.2 + 0. Put -2, -0.5, b, t in descending order.\nAnswer: t, b, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5607682 is divided by 623073.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-6*(-1 + sqrt(425)*2 + -4)*-3)**2.\nAnswer: -32400*sqrt(17) + 558901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 121 divide 15254712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 - -12.3. Let m = v + 0.7. Let l be 0 + -1 + (-3)\/3. Which is the biggest value? (a) -1 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-2\/7))\/n)**(-23)*(n**(2\/3)\/n)\/(n**1\/n) assuming n is positive.\nAnswer: n**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be 131 + (-4 - -2 - 0). Let q = 133 - w. Suppose 2*v + q = 2. Put v, 3, 5, -5 in ascending order.\nAnswer: -5, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1222222111222 (base 3) in base 14?\nAnswer: 1d9310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.17 - -6.87. Which is the closest to -158? (a) -1\/2 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1a7 + -1b291?\nAnswer: -1b478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101467681 is divided by 253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 4*q + 38, 2*k - 23*q + 25*q = 26. Solve 3*s - 14 = k*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2416, -2364, -2312, -2260, -2208, -2156?\n\"Answer: 52*l - 2468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 165*h + 225\/2 + 121\/2*h**2 = 0 for h.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 7, t: 4, g: 5}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 362546 is divided by 4767?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5 - 1)\/((-88)\/(-16)))\/(8 - 8575\/1078).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyny when four letters picked without replacement from {n: 4, y: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 6807061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of 4*c**5\/5 + c**3 + 5*c**2 + c - 9. Let b(p) = -3*p**3 - p - 2. Calculate -11*b(d) - 2*s(d).\nAnswer: d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8 + 7)\/((-1)\/79). Suppose 30 = 76*u - n*u. Let c = 73 - u. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + q - 1. Let g(x) = -x**3 - 13*x**2 + 6*x + 5. Let f(t) = -g(t) - 5*s(t). Determine f(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*1*sqrt(33) + sqrt(33) - -1*sqrt(33)*-2)\/(sqrt(6)\/(sqrt(2)*-3 - sqrt(2)) + sqrt(3) + sqrt(15)\/sqrt(45)))**2.\nAnswer: 25344\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 70269*g**3 - 588*g**2 + 18*g.\nAnswer: 421614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -94332, -95204, -96076, -96948, -97820, -98692?\n\"Answer: -872*l - 93460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114549382 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (25 - (61 - 58)) + 19 + 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Convert 140535 (base 7) to base 10.\nAnswer: 26682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 64186 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 394*j + 1005 = -397*j, 5*v - 2500 = -5*j. What is the remainder when v is divided by 120?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 511 + 2916 + 17*x - 40*x - 48*x.\nAnswer: -71*x + 3427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3257 is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 8. Let l = -9 + u. Which is the nearest to -0.2? (a) 1 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -55*w + 57*w - 4*u - 60, 5*w = 122*u + 710 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1463 is divided by 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/(-4)*(-4)\/5. Let f be 1155\/44 + (2 - 0)\/(-8). Suppose -i = 2*k - f. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - 1. Suppose -6*y = -3*y + 6. Let q be y\/s + 7\/(245\/(-24)). Which is smaller: q or -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 47 by -396.\nAnswer: -47\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -10 + 6 + 6 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) -2 (c) 0.1 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**3 + 11*s**2 + 12*s + 2. Let o be t(12). Suppose -o = -u - 4. Let g = 62 + u. Calculate the highest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48590.901 - 48591. Let y = -5.2 - -5. Which is the smallest value? (a) d (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -58.\nAnswer: -58, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - -5. Let u be (-5 - 31)*2\/(-4). Suppose -t = -f*t + u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4887 by 1629.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 4 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 115 = -3*r. Let i = r - -36. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 - 5*q**2 + 4*q - 7. Let i be z(4). Let a(w) = 7*w - 2. Let h(d) = 23*d - 7. Let c(s) = i*a(s) + 2*h(s). Let g(o) = 4*o**2. Calculate g(c(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 461*t**3 - t + 2. What are the prime factors of v(1)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 24*g - 3360 = 0. Is g a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k**2 - 4*k**2 + 5*k**2)*(0*k**2 - 3*k**2 + 2*k**2) - k**4 + 2*k**4 + k**4 - 20*k**3 - 27*k**3 - 10*k**4 + 50*k**3 - k**2.\nAnswer: -6*k**4 + 3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 152 = -5*s + 994, s = -5*c + 180. Let v = s + 86. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26 + 7 + 10 + 4 - k.\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 6:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 5*m + 0*m + 17 = 0, -4*a + 20 = 4*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide ((-4)\/6)\/((-5)\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 6*x + 2 + 12*x + x + 121*x. Let b(v) = -3*v. What is b(m(z))?\nAnswer: -420*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -32 + 46. Suppose 5*n - 4 = -i, 4*n - 12 + 0 = 0. Let c = i + f. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/((-1)\/(-11)*-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = k + 130. What is the remainder when k is divided by 47\/3 - 155\/93?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 - 11 = -10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -560593093\/376 - -1490940. Let a = d - 14\/47. Calculate the common denominator of -65\/106 and a.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19920207 to the power of 1\/2, to the nearest integer?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 223 = -i + 2*i - 84*t - 323 - 1555, 0 = -5*i - 4*t - 95 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 72, 83, 118, 189, 308, 487, 738?\n\"Answer: 2*v**3 - 3*v + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000117858 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 1\/2*z**4 - 3\/2*z**2 - 1\/2*z + 1\/3 - 1\/6*z**3 = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 34 = -4*n + 5*u, 3*u + 6 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07 times -6840.821?\nAnswer: -478.85747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 8 = -4*i, -5*h = -4*i - i + 10. Suppose -q + h*q = 0, -5*d + 985 = 3*q. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 75015 and 32805.\nAnswer: 54685935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/(8 + 44)*((-360)\/(-85) - 4)*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -118 (base 9) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 339399.\nAnswer: 3, 43, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c - 2*z - 47 = 0, -6*z + 2 = -2*c - 3*z. Calculate the smallest common multiple of 171 and c.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1037858417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -7*u + 10. Suppose u*r = 3*r - 3. What is the remainder when 3\/(-9) + (-86)\/(-6) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 188 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9539665 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from yiytiiyety.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31890 and 403530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -67*k - 69*k + 145*k + (2 + 1 - 4)*(22*k + 11*k + 22*k) - 3*k + k + 3*k in the form l + j*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-774)\/(3 + (-54)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -4. Differentiate 5 - 2 + 3*s**2 + o*s**2 - s**2 with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m\/m**(-1\/2)))**8\/(m*m\/m**(-1)*m)**(-11\/3) assuming m is positive.\nAnswer: m**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:54 PM and 6:40 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**4 - 2*v**4 - v**4)*(4 - 4 + 2) + 2502*v**4 + 131*v**4 + 206*v**4.\nAnswer: 2837*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 58 - 61 - 64*f**2 + 2 - 88*f**2 + (-2 + 5 - 1)*(0*f**2 - 2*f**2 + 3*f**2) + 2*f**2 - 3*f**2 - 10*f**2 in the form n*f**2 + r*f + j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 494 is divided by 132.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01785 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -23.022 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -11901 (base 12) to base 13\nAnswer: -aa7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 15 (b) -5 (c) -3\/5 (d) -0.012 (e) 2\/9 (f) -2\/197 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1574.164ml to litres.\nAnswer: 1.574164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14584 + 24753. List the prime factors of m.\nAnswer: 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 3 and -2.8606.\nAnswer: 0.1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 40 = 3*g, 2*g + 68 = -3*g + 3*r. Let f = -20 + 22. List the prime factors of 2 - 0 - g\/f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21200 (base 3) to base 12.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 84.14501 decades?\nAnswer: 841.4501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -1\/2, -7, 3.8, -4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -g + 426, -2*g - 509 = -2*i - 83. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6300 = 395*g - 45*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (5 - 15) + 4 - (0 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -14, -2\/11, 4\/3 in decreasing order.\nAnswer: 4\/3, 2\/5, -2\/11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-8))\/f)\/(f*f*f**(-12)) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 245 and 18999701.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3492.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of 3*v**5\/40 + v**4\/8 - v**3 - 3*v**2 + 17*v - 3. Solve w(z) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 382\/21 + -27\/7. Find the common denominator of p and -21\/2845.\nAnswer: 8535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12163 or -12164?\nAnswer: -12164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of j**6\/6 - 221*j**4 + 4*j**2 - 116*j + 4930. Find the second derivative of z(a) wrt a.\nAnswer: 20*a**3 - 5304*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40997.5 + -51760. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - (-5)\/(15\/21). Let y be (-2)\/k + ((-5474)\/(-6))\/7. What is the highest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 523 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 4*p**2 + 7*p + 5. Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 595 = -0*v + 5*v. Suppose 0 = -7*u - v - 49. What is the remainder when 31 is divided by ((-2)\/2)\/((5 - -1)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1705 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z**2 - 10*z - 12 = 0. Calculate z.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 105925 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2532012 rounded to 3 decimal places?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 5*l**3 - 907*l**2 - 547*l + 159. Calculate s(182).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 3 - 0. Suppose 0 = -3*u + 2*w + 50, 40 = i*u - w - 3*w. Let y be ((-16)\/6)\/((-1)\/60). Calculate the highest common divisor of u and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -1 - 2 + 0 + i + 0. Let r(s) = -3*s + 7. Let y(p) = -9*g(p) - 4*r(p). Differentiate y(k) with respect to k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-1) - 40\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-4)*(32\/(-216))\/((-63)\/21)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*x + 126*x - 249*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -0.3 (c) 13 (d) -5 (e) -176.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f - 5*g, -f - 4*g = 4*f - 33. Put -4, 4, f, 24 in descending order.\nAnswer: 24, f, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 825*x**2 + 26313 + 5*x**3 + 577125 - 338381 + 566818 + 45375*x = 0.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 62 + -48. Does 6 divide 1 - ((-654)\/w + (-16)\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 373115 + -15?\nAnswer: 373100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -4 * -191589\nAnswer: 766356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 729.006 and -0.7.\nAnswer: -510.3042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50 + -0.609.\nAnswer: 49.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -8 + 11 + 2*u - 1 - u**3. Suppose 3*o = -4*p - 18 - 4, 4*o - 5*p - 12 = 0. Is r(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14820010 and 27790.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -10 + (-11 - (7 - 29))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12528 - -15322. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*t**2 + 450145*t = 0. What is t?\nAnswer: -90029, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -10752*m. Let x(q) = -q - 2661. What is x(y(v))?\nAnswer: 10752*v - 2661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*3)\/(16\/(160\/(-6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 254*d - 199*d - 1105885000. What is d rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -178, -370, -590, -844, -1138, -1478?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 105 and 9104025?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.06, 16, -26, 0.4 in increasing order.\nAnswer: -26, -4, 0.06, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 202, 198, 194, 190, 186?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 11237471 - -14?\nAnswer: 11237505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10811 and 1878269.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lx when two letters picked without replacement from vvhllxhnrvvvxnhvxh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of 3947*u**2\/2 + 2. Let l be i(1). Suppose 3*k - 2113 = l. What is k rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 0.09, -8\/23?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 24*d - 26*d - 18. Let u(p) = p + 19. What is the units digit of u(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u**4\/2 + 11*u**3\/2 - 3*u**2 - 4*u = 0.\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -52, -68 in increasing order.\nAnswer: -68, -52, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 105 - 67. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4*(-4*sqrt(98) + 1)**2 + 5).\nAnswer: -12542 + 448*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 15306*o + 30875 = 16541*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2*r**3 + r**2 - 3*r - 1. Is 9 a factor of y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 - 43 - 2*d**2 + 38 - 20*d. Is 2 a factor of x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1276648?\nAnswer: 2, 19, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the first derivative of -15\/2*p**2 + 5\/4*p**4 + 0*p + 25\/6*p**3 - 1\/2*p**5 - 23. Find n, given that s(n) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 43 = 3*s, s + h - 351 = -352 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 512358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/5)\/((-8)\/40). Factor -9*t**3 - 2*t**2 + 6*t**3 + 0*t**3 + 5*t**5 - x*t**5.\nAnswer: t**2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -169*k + 13456 - 12611 = 0. Factor -4\/5*u**3 + 2\/5*u**k + 0*u**2 - 2\/5*u**4 + 0 + 0*u.\nAnswer: 2*u**3*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 72 - 90. Let x be w - -16 - -2*1. Suppose x = -6*k + 43 + 17. What is the smallest common multiple of k and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25507023, 25507032, 25507041, 25507050, 25507059, 25507068?\nAnswer: 25507077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -8593*v - 902273. Determine a(-105).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of -85*f**4\/8 - 39*f**3 - 6*f**2 + 6. What is the first derivative of k(c) wrt c?\nAnswer: -255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -225 = 208*t - 211*t. What is the remainder when 142 is divided by t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 734*w + 24657 = -1767 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -60626, -60630, -60634, -60638, -60642?\nAnswer: -60646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -111889, -223783, -335677?\nAnswer: -447571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(225)\/sqrt(36) + sqrt(150)\/(sqrt(6) + sqrt(24)\/sqrt(4)))\/(4*-2*sqrt(180)) + -1.\nAnswer: -1 - sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -26*i**3*p - 281604*i**3 + 4677*i*p wrt p.\nAnswer: -26*i**3 + 4677*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 47646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 + 5*q - 13. Is 11 a factor of z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 297271 is divided by 148448.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 445 is divided by 83?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 2*h = -18, 3*q - 5*h + 8*h = 18. Solve -3*k - 9 = 0, q*a + 0*k - 2*k = 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.01 - -0.01. Let p = -0.1 + t. Let f(g) = -g**3 - 125*g**2 + 2*g + 219. Let i be f(-125). Which is the closest to 0? (a) -2 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -376, -273, -170?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 495 and 11715.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -1956*j - 168212. What is f(-86)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2 + 64\/44 + (-64152024)\/(-44). What is p rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 6*w + 2 = 0. Let u be (32\/20)\/(-4)*10. Put 0, u, -1, w in descending order.\nAnswer: w, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -457 - 422 + 1328 + 26*t**3 - 449.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3\/6 + 238913*r**2\/6 + 7134987424*r\/3 + 7134867968\/3.\nAnswer: (r + 1)*(r + 119456)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/9 + 22\/6. Let u = -13 + 9. Let z = 3.3 + -3. Put p, u, z in increasing order.\nAnswer: u, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:47 PM and 7:23 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22014544361 + -2?\nAnswer: 22014544356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.08533 and 0.5.\nAnswer: -0.042665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i + 18 - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -804, -3206, -7216, -12840, -20084, -28954, -39456?\n\"Answer: -a**3 - 798*a**2 - a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5453 divided by -287?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 105247848 divided by 5\nAnswer: 105247848\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -4*d - 47. Let u(p) = 24*p**2. Give n(u(m)).\nAnswer: -96*m**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 915121 is divided by 68.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oopoppopop.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o**3 + 0*o**3 - 2*o**4 + (-3*o + 3*o + 2*o)*(2*o**3 - 5*o**3 + o**3) + 0*o + 0*o + 2*o**4 + (2*o**3 + 2*o - 2*o)*(-2*o + 0*o + 3*o).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 938.3 - 981. Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(75)*5 + sqrt(75))*5)**2*6.\nAnswer: 405000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 143*z**3 - 26*z**3 + z**2 - z**2.\nAnswer: 117*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from hkggmghggw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2087761611.\nAnswer: 3, 13, 4117873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -1.6, 0, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-4)\/(-5))\/(2\/5). Suppose -3*v + v = -n - 26, 0 = -3*v - j*n + 39. Calculate the remainder when 36 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.023125 millilitres?\nAnswer: 0.000023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (23 - 26)*(-253)\/33. Let w be (-3)\/(-15)*2*-5. Let n be ((-1)\/(-3))\/(w\/(-18)). Solve -2*j - 5*x - n = 2, -5*j - b = 2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 955 and 248210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 - 44*k**2 + 83*k + 66. What is s(42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -92 less than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {s: 9, p: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r + 1. Let t(y) = -4*y - 20. Let w be t(-7). What is l(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/34)\/((146\/18031*-19)\/(4\/(-39)))\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 235 + -223. Suppose -2*o - i = -4*l, 2*o = 5*l - 3*o - 15. Solve 4*v = -l*q - 7, -3*q - 5*v + 0*v = 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 1. Let t = 119 - 124. Let q = -5 - -9. Which is the biggest value? (a) t (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 - 19. Let v = u - 4. Let l = -6 + 10. Solve 27 - v = l*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 405736144 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -z**2\/6 - 17474*z\/3 - 11649\/2 = 0. What is z?\nAnswer: -34947, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.05 (b) 2\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -38*c - 13374. Let i(g) = 122*g + 40122. Determine -5*i(y) - 16*s(y).\nAnswer: -2*y + 13374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 1565.39?\nAnswer: -1565.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 195*u + 10. Let a(c) = c**3 + 6*c**2 + 3*c. Let t be a(-2). Let i = t + -16. Let r be y(i). Round r to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 3*h**2 - 14*h - 41. Let g be d(-25). Suppose -19*z + 7*z + g = 0. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 19, 2, -3, 8.5, -1\/5, 0.2, -33\/4?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 934 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 43, -8372, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 - 20. Let i = 0.1 - -3.9. Let r = h + i. Put 2, 0.1, r in decreasing order.\nAnswer: 2, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 111101101111100001001 (base 2) to base 12.\nAnswer: 8169a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 10 + (-130 + 134 - (-23 - -1)) - 5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 3478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/392 and -69\/280?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 7*z. Let t(r) = 3*r**2 - r**2 - 3*r**2. What is w(t(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 + 159. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/35*(-13 - 65\/(-26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 360*g - 13455. What is k(-39)?\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1863\/4 - -466. Let l = 4.8 + -3. Which is the closest to -2\/5? (a) l (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 - f + 1. Let y be 6*1 + (-28 - -28). Let s(a) = -2*a**2 - 3*a + 3. Calculate y*n(r) - 2*s(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 25 in 5, -7\/5, 4, 8\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 950 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in -15, 515, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -754477 in increasing order.\nAnswer: -754477, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 322644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 113 - 58 - 2*f**2 - 49 + 10*f**3 + 2*f**2 in the form i*f**3 + d*f**2 + u*f + v and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -17803, -23391, -28979, -34567, -40155?\n\"Answer: -5588*l - 12215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 429415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, s: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 87655 or 35\/27?\nAnswer: 87655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 58*j**2*n**5 - 226*j**2*n**2 + 2*j**2 - 4482*j*n**5 - 766*j*n**2 wrt n?\nAnswer: 3480*j**2*n**2 - 268920*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(1800) - (sqrt(1800) - sqrt(1800)*-1))\/((sqrt(24) - -2*sqrt(24)) + sqrt(6)) - ((sqrt(72) - (1*sqrt(72) + sqrt(72))*5)\/(2*sqrt(726)))**2.\nAnswer: -30*sqrt(3)\/7 - 243\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 195256 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 391, 2\/15, -0.4.\nAnswer: -0.4, 2\/15, 4, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - 2. Suppose 0 = r + 3*r - 4. Let g(i) = 2 + r + 0 - 2. Let f(x) = -x**2 - 12. Determine b*f(o) + 22*g(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -387 - -392. What is the highest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -6 + 36\/3 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 14891119.11ns in weeks?\nAnswer: 0.000000024621559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 201*f = -2*s + 1053, 22*s - 23*s + 9 = -3*f for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -1\/32 (c) 82\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 54048878*d**3 + 101019537*d wrt d.\nAnswer: 324293268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -111 (base 13) to base 10.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 297 - -56. Let i = -352 + o. Which is the smallest value? (a) 3 (b) -13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from nfefaeooee.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.115 - 7053\nAnswer: -7053.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y - 1. Let b(s) = 4*s**2 + 7*s + 3. Suppose -12*k = 16*k - 26 - 2. What is k*b(g) + 5*t(g)?\nAnswer: 4*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4*p + 41 = 0, 2*w - 62 = -2*p - p. Let l = w - 15. What is the tens digit of (-6)\/l + (-418)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pppppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.15 + 5.55. Let q = 6.2 - f. Suppose 11*i = 6*i + 5. Sort q, 0.3, i.\nAnswer: q, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 + 7*x + 10. Let r be (-10 - (-528)\/24) + (-5 - 2). Determine b(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193 = -19*l + 206. What is the remainder when 157 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 0*x = 0. Suppose x*g = g - 2*z - 16, g + z - 1 = 0. Suppose -16 = -g*b + 2*b. Solve b*t + 0*u = 2*u + 2, 0 = -5*u + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 176\/24)*753. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -619271.3203 - 1811.\nAnswer: -621082.3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 16.66317 rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j - 3*j + 4*j)*(-4*j**2 - 3*j**2 + j**2) + 4*j**3 + 2*j**3 - 5*j**3 + (-2*j**3 + 3*j**3 + j**3)*(-5976 - 1502 - 4992).\nAnswer: -24933*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 67 in -3, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 2*f + 9. Let m = 12 + f. Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*w + 3 - 5 - 9*w)*(3*w + w + 3*w).\nAnswer: -14*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 4*t**3 + 68*t**2 - 5*t + 35. Let j be (-17)\/(1\/(-2)*(32 + -34)). Calculate the remainder when r(j) is divided by 46.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 2*y**4 + 1490*y**3 + 266774*y**2 + 5926614*y - 6194880 = 0.\nAnswer: -480, -239, -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -6*k**2 + 3*k + 2. Give v(-6).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -6036*d**2 + 6. Let c(z) = -9*z**2 + 1. Give 6*c(n) - p(n).\nAnswer: 5982*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 0*g**3 - 39*g + g**3 + 154 - 28*g**2 - 64 + 7*g. Let p be u(29). Solve 3*w - p*d - 14 = -2, 5*w + 4*d = -25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from hfffffffhfffzhf?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -26*x**3 - 21*x**2 - 11*x + 11. Suppose -23 = -9*r - 41. Let b(w) = 5*w**3 + 4*w**2 + 2*w - 2. Determine r*q(n) - 11*b(n).\nAnswer: -3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -5165 != -5165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16609921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of -2*b**2 + 23*b + 31. Let w be l(8). What is the hundreds digit of (2\/w + 1\/(-9))*-381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -0*a + 2*k - 4, a - 5*k = -22. Suppose -28 = -5*f + 2. What are the prime factors of f*(a - (-123)\/18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = -d + 9*h - 4, -2*h = -d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 517*c*s**2*y + 16*c*s**2 + 3*c*s*y**2 - 5*c*s + 2*c*y + 10*s**2 - 1 wrt y.\nAnswer: 517*c*s**2 + 6*c*s*y + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h - 72 + 86 = m, 347 = 8*m + 4*h + 83 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 11 + 154 = 2*c, 4*z + 52728 = -c + 52805 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -25 (b) -2325 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -6*s + 3*s - 2*s. Let r(v) be the first derivative of -3*v**2\/2 - 308. Give r(a(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -459 + 416*g + 241 + 218.\nAnswer: 416*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least -9.2158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -65 + 9. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*m + 2*j + 59 = 79, j = 2*m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 101 - -1462?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes after 9:09 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be -9*((-10)\/10)\/1. Let c be ((-252)\/(-60))\/(2\/30). Calculate the highest common factor of t and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 - 26*y + 167. What is x(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + 726\/(-55) - 19\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*k**2 + 138*k**2 + 175*k**2.\nAnswer: 249*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3462.21239 rounded to the nearest integer?\nAnswer: -3462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 51 = -78. Suppose 0 = -4*v - 17 + y. Let f(x) = x**2 + 10*x - 7. Let i be f(-11). Solve -3*t + 5*z - 2 = v, -t - 17 = -i*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15041292 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + sqrt(2) + 2 + -2 + 0 + sqrt(72) + 3)*4)**2.\nAnswer: 768*sqrt(2) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eegedezegejeegegegeg. What is prob of sequence gjed?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 529, 4283, 14477, 34333, 67073, 115919?\n\"Answer: 537*n**3 - 2*n**2 + n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from dtsdnnddndnsnnns?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2362 + 3254. Suppose -4*h + 2886 = 2*a, 5*a - 1659 = 5*h + s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1523, -3005, -4487, -5969?\n\"Answer: -1482*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 4*s - 6 = -0*s, -3*s = -3*r. Suppose -3*i - 3*l = -24, 3*i - 5*l + r*l = 4. Calculate the smallest common multiple of i and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22\/6 + 0)\/((-83)\/(-83)*(-12)\/252)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1210 + 1222212?\nAnswer: 1221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8209759 millimeters in centimeters?\nAnswer: 0.08209759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 179652800 to the nearest one million.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8\/(176\/14 - 12). Which is the closest to -1.2? (a) 4 (b) -2 (c) -2\/13 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + 9 + (-9 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times -115.8?\nAnswer: 11.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 40*m**2 - 52*m + 22. Let d be g(3). Solve -d*i + 221*i + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 2565?\nAnswer: -1\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 256583447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 63\/2*(-4)\/(-6). Let h = 3959 + -3953. Solve 5*w - h = -s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(176) - sqrt(11))*2.\nAnswer: 10 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -4*n**2. Suppose -6*q - 40 = -16*q. Let r(a) be the first derivative of 8*a**3 - 7 - 7*a**3 + q - 7. Calculate m(r(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -f**4 + 31*f**3 + 78*f**2 + 8*f - 741031.\nAnswer: -4*f**3 + 93*f**2 + 156*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001938 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 170.92799804 + -170.998. Let t = -0.07 - b. What is t rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) 69 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -254739.07418+-0.543\nAnswer: -254739.61718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 447 + -155. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -6*w + 4. Let b be v(4). Let k(u) = -2*u + 10. Let h be k(b). Suppose 9 = 5*s - 91. Calculate the greatest common divisor of s and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, b: 3, n: 2, c: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 8) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -239839.\nAnswer: 4\/239839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (-63792)\/42*13\/78*-21 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -228*y**3 + 1331*y**3 + 683*y**3 - 2 + 585*y**3.\nAnswer: 2371*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 682*t - 1. Let d(n) be the second derivative of -n**4\/12 + 590*n. Give d(i(q)).\nAnswer: -465124*q**2 + 1364*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 112*u + 32. Is m(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 14*n + 1. Let k(w) = -9*w**2 - 39*w. Determine i(k(b)).\nAnswer: -126*b**2 - 546*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**2. Let o(h) = -7*h**2 + 5*h. Let x(u) be the second derivative of -11*u**4\/12 + 4*u**3\/3 + 2*u. Let z(b) = -8*o(b) + 5*x(b). Give j(z(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -58, -137, -230, -343, -482, -653, -862?\n\"Answer: -s**3 - s**2 - 69*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 32348.03 millilitres to litres.\nAnswer: 32.34803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/6 + 100007*g\/3 + 10001400049\/6.\nAnswer: (g + 100007)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + 8 + (-37 - -56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3261.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11370460.\nAnswer: 2, 5, 568523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, -1\/5, -0.1, -2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.6 - -1.6. Let s be 21*25\/120 + -4. Let m = 5 + -5.3. What is the nearest to r in s, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 75406, 75405, 75404, 75403, 75402, 75401?\n\"Answer: -j + 75407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 t when four letters picked without replacement from qqtttqtqtqqq?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40210518?\nAnswer: 2, 3, 6701753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ky when two letters picked without replacement from {y: 8, k: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be 60\/8*24\/15. Let r be n - (3 + (-5 - -2)). Suppose -r = 2*t - 40. Calculate the least common multiple of 12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -53921, -107847, -161773?\n\"Answer: -53926*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 59 = 3*y. Let h be 3 + 1 + -5 + y. Let q = h - -152. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - 5*b**2 + 7*b - 3. Let k be j(5). Let q = k - 21. Let 12*m - 18*m**2 - 23*m**3 + 1 + 15*m**4 + 2 + q*m**3 = 0. Calculate m.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 170517 (base 8) to base 13.\nAnswer: 2216c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -819 = 15*j - 59*j + 42*j + 41*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 5 and 1153897387779.\nAnswer: 1153897387784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 20*b + 257. Let r be s(-13). Suppose 0 = -0*z + 4*z. Put 2, r, z in decreasing order.\nAnswer: 2, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124 (base 11) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.58 * 9.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76)*-2 + -2 - -4*(1 + sqrt(76))) + -5 + -4*1*(5 + (sqrt(76) - (0 + sqrt(76))) - sqrt(76)))*5)**2.\nAnswer: -13800*sqrt(19) + 81625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -32, -94, -176, -272, -376, -482, -584, -676?\n\"Answer: j**3 - 16*j**2 - 21*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-44149)\/(-255))\/53)\/(14\/6)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1122 - 1118. What is the nearest to 0.1 in p, 0.12, -10?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-3))\/(-78*(-15)\/270).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 786*v - 4*p = 793*v - 28, -5*p + 25 = 2*v - 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m + 0*m + m)*(4*m - 2*m + m + (2 + 2 - 3)*(2 - 2 - 2*m) + 18 - 18 + 17*m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1590 or 2?\nAnswer: 1590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - 13 - 0 - (0 + 51 + 2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + (-6 - 0) + 1 + 12. Calculate the greatest common divisor of 90 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {e: 4, t: 7, r: 3, h: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 638*h**2. Let u(b) = -88 - 46 + 134 - b. Give q(u(g)).\nAnswer: 638*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 10:20 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 3 m when four letters picked without replacement from qqmmpqmqmgm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(15\/(-27)))\/(5*(-1)\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1712 and 5.\nAnswer: -8560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 30*i. Determine k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 2*c - 88706, -5*c - 4*m = -2*c - 133057. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4313576207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/15)\/((-126)\/(-175)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -213.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of 5*j**4\/2 - 5*j**3\/3 + 15. What is the third derivative of k(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 230032818 to the power of 1\/2, to the nearest integer?\nAnswer: 15167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24521\/9 or -2724?\nAnswer: -24521\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2199 divided by -3?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4848206 to the nearest integer?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 429168 - 217799. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8\/3913 - 37858\/622167. What is the common denominator of -161\/66 and i?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 5*m**2 + 3*m + 2. Let z(o) = o**2 - o. Let c(g) = f(g) - 4*z(g). Suppose 4*v + 417 = -0*i + 3*i, -3*i + 93 = -v. Let u = 104 + v. Determine c(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29\/522*-18*20\/(-4)*(-6)\/(-40).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -8.07 >= -0.041548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5029 + 70349\/14. Find the common denominator of a and (153\/30 + 1)*1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -374, -36\/7, -2\/3?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 285 (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of (4\/(-5) + 4797\/65)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 261011*k + 1305063. Give z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 57137 smaller than 57163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -80995000 rounded to the nearest one million?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -2*f. Let u be d(-2). Let o be 3 + (1 - (-3)\/3). Let i = o + 7. Solve 0 = 4*z - 4*y + i, z - u*y = 3*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -107731540 divided by 2\nAnswer: -53865770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert f77f (base 16) to base 2.\nAnswer: 1111011101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + -3 + 10 - -27.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 - 4*x**2 + 14*x + 22. Let u be s(-6). Let o(m) be the first derivative of 119*m**2\/2 - 39*m + 16. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3*((-595)\/15 - 4). Let y = -127 + a. Solve 4\/5 + 16\/5*r**2 - y*r = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + 0. Suppose y*i - 4*i - f - 36 = 0, -2*i = -4*f - 66. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25462.\nAnswer: 2, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5145055 - -2?\nAnswer: 5145101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 34526 - 98964 = 638*a for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 9*m**2 + 4*m + 2. Let r(f) = 4*f**2 - 2 + 4*f - 2*f + 3. Let c(y) = 3*n(y) - 7*r(y). Determine w so that c(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -84*g**5\/5 - 33*g**4 + 120*g**3 - 69*g**2 - 6*g + 24\/5 = 0 for g.\nAnswer: -4, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 26*l**3 - l**2 + 5. Let x(w) = -w**3 + w**2 - 1. Let c(f) = -a(f) - 5*x(f). What is the third derivative of c(d) wrt d?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 160*n - 52. Let x(d) = 79*d - 26. Let u(t) = 2*f(t) - 5*x(t). Find the first derivative of u(g) wrt g.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 436 - 4798\/11. Which is the third biggest value? (a) 1131 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 7*g + 532 = -123*g, 2*l - 3*l - 2 - 5 = g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -3508676 + 0.4?\nAnswer: -3508675.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*((d**(1\/4)\/d)\/d)\/d*d*d)**(-1\/48)\/((d**11\/d)\/d**(-8)))**(-12\/5) assuming d is positive.\nAnswer: d**(3457\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -99 - -101. Suppose 20 = x*j + 10. Suppose j*z - 569 = h, 3*h + 162 = 4*z - 302. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 11 = -5*w, -2*w - 5 = -3*w - 2*y. Suppose -2*t - 9 = -w*u, -4*t - 2*u + 37 = 3*u. Suppose t*f - 1617 = -8*f. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -d**5\/5 - 220*d**4 - 1757*d**3\/3 - 439*d**2 - 4216. Factor o(j).\nAnswer: -j*(j + 1)**2*(j + 878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 119 - 84. Suppose -p + 18 + i = 2*d, -5*d = 5*p - 270. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert bb (base 15) to base 11.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 3*d + 2. Let r be -1*d + (17 - 10). Let z(s) be the second derivative of s**3\/6 - 4*s**2 - 397*s. Calculate z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2787*l + 2779*l - 3*j + 4, -3*l + 4*j + 22 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 129 in 0.2, 0.1, -1\/10, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 231b (base 16) to base 15.\nAnswer: 29e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 50554 and 77280?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g + 2*g - 3*g**4 + (g**2 + 4*g - 4*g)*(3*g**2 - g**2 - 5*g**2) in the form l*g + s*g**4 + u + x*g**3 + w*g**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 - 14*r**2 - 21*r + 135. Let t be a(-11). Solve t*q - 12*q - 36 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -128, -136, -144, -146, -136, -108, -56, 26?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 105 = 56*j - 51*j, 3*s + 4*s - 3*s + 71 = 3*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 5*t = 6*t + 134, 4 = 4*t. Put -1, 4, g in decreasing order.\nAnswer: g, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of 4\/27*u**3 - 112*u - 1\/90*u**5 + 0 + 16\/9*u**2 - 2\/27*u**4. Factor y(a).\nAnswer: -2*(a - 2)*(a + 2)*(a + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2. Let l(p) be the third derivative of -7*p**5\/60 + 7*p**2. Give y(l(i)).\nAnswer: 49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + -1 + 3 + sqrt(19))) + sqrt(114)\/sqrt(6)*1)**2 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 968049227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (8 + (6 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of u**4 - 4*u**3 + 4*u**2 - 50. Factor w(q).\nAnswer: 4*q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 167, 334, 501, 668, 835?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -18828*o**3 + o**2 - 1479*o + 5 wrt o.\nAnswer: -112968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 5*n - 11. Suppose 0 = -r - n*r + 6. Suppose -3 + r = k. Which is smaller: k or -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in o**5\/3 - 4*o**4 + 38*o**3\/3 - 52*o**2\/3 + 11*o - 8\/3 = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -15486*v - 1254715. What is r(-81)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 1, 0 = 3*x + 3*k - 396. Let s = -1199\/9 + x. Let j = -5330 + 42731\/8. Find the common denominator of j and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1060.8 + -959. Let n = h - 255.7. Let j = 162 + n. What is j rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 17, u: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from umimmtmimf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 4*y = 612, -3*l + 5*y + 2427 = 608. Is l a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 180 times 8?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9961*i**3*u - 2*i**3 + 2*i**2*u + 3191*i**2 + i*u + 2 wrt u.\nAnswer: -9961*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of f**6\/24 - 13*f**5\/12 + 5*f**4\/2 + 36*f**2 + 50. Let d(g) be the second derivative of n(g). Determine r, given that d(r) = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249768 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of -c**3 - 1 + 0*c**2 + 0*c - 3\/4*c**4. Find the third derivative of i(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**3 + 10*d + 6. Let p be c(-3). Let n = p - -98. What is the highest common factor of 170 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 6*m + 4*w, -4*m - w = 6. Let f = -17122 - -17126. Sort -2\/3, m, -10, f in descending order.\nAnswer: f, -2\/3, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 1415*d = -1411*d - 6, -d = -2*l - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 921 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the second derivative of g**6\/60 - g**4\/8 + g**3\/2 - g**2\/2 + g. Let c(f) be the first derivative of w(f). What is the tens digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + 31*j**2 - 6*j + 11. Let a(o) = -6*o**2 + o - 2. Let s(l) = 11*a(l) + 2*m(l). List the prime factors of s(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*c + 2*c + 46 - 46.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-5)\/(-6))\/(360\/1296))\/((-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 5*h - 7360. Suppose -3*q - 5*c + 552 = 0, -4*q = 6*c - 10*c - h. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + 80\/12*(-3)\/(-2). Let f(l) = 37*l + 8. What are 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: Expand (-3*y**3 - 3*y**3 + 4*y**3)*(-2 - y + 2*y + 1)*(1258 + 2045 + 1047) + y**4 - 4*y + 4*y + (3*y - 2*y + y)*(-y**3 - 3*y + 3*y).\nAnswer: -8701*y**4 + 8700*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6277?\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 750\/(-40)*(-20)\/90*20\/75?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2051362592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 12:33 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (0 - -5)*888\/555 + 4556.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 15 - 3a7?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*l - 8*l. Put l, -5, 5 in ascending order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1556 + -3064. Let l = j - -2415. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sasp when four letters picked without replacement from {a: 4, s: 6, p: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -340 + 813. List the prime factors of n.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/((-25650)\/(-4134)) - 32\/40. Which is the closest to q? (a) 3 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*p**4 - 1 + 6*p**3 - 2335*p + 7*p**4 + 2339*p in the form q*p + h*p**4 + s*p**3 + r*p**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a - 4*f - 4, -6*a + 4*a - 18 = 2*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 4*m + 24 = 0, 6*m = 9*m + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 2*u**2 - 2*u + 2*u. Let l(p) = p**3 - 3*p**2 + 3*p. Let r be l(2). Let k(h) = 3*h + 3*h**2 - 2*h**r - 3*h. Calculate c(k(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 87.5 + -87. Let u = 3.348 + -0.188. Let s = u - 0.16. What is the third smallest value in b, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z**3 + 17 - 3*z**3 + 41.\nAnswer: -6*z**3 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0157197202 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 185*b = -299*b - 360*b - 5908 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -11*a**3 - 2*a + 9. Let h(r) = 9*r**3 - r**2 + r - 9. Suppose -14*q + 8*q + 30 = 0. Let d(t) = q*h(t) + 4*o(t). Is 32 a factor of d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1\/4)\/((-3459)\/12). Let i = -51887\/2306 - c. What is the common denominator of -17\/22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -40*v - 2*v - 72*v + (0*v + 0*v - v)*(-1 + 0 + 0)*(-120 - 127 + 203) as h + t*v and give t.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-111)\/185 + 277\/20. Put -0.2, 4, x in increasing order.\nAnswer: -0.2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -28*h + 18*h + 85*h + 4*h - 2*h + 0*h + (h - h - 3*h)*(5 + 1 - 3) + 2 - 2 + 2*h.\nAnswer: 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uzuuazuuuu. What is prob of picking 1 z and 1 u?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -131851, -131520, -131189, -130858, -130527, -130196?\n\"Answer: 331*t - 132182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 3. Suppose 3*z - 3 - 9 = 0. Solve -4 = z*n + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 215*f - 213*f + 1 = 0, -5*i = 3*f - 27. Solve 4*q = r - 9, 3*r + 5 = -q - i*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5685*l - 70268 + 254186 = -91182 + 2220 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 10:13 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*y**4 - 6990*y**3 + 5996592*y**2 - 2230918626*y + 300645777021.\nAnswer: 3*(y - 661)**3*(y - 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 184\/6394*(-2)\/(-4). Which is the nearest to -2? (a) i (b) 2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1058 divided by -1058\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 7*m**2 - 4. Suppose 9*h - 242 = -251. Let s(k) = -2 - 3 + 4 + k**2. What is h*w(b) + 4*s(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 10\/(-68)*(-209916)\/2058\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*p - 46 = -1. Let v = 9.6 - 9.7. What is the second biggest value in 2, v, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47371553 is divided by 19171?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2019459 and 273?\nAnswer: 14136213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(475)*3*-4.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.01 - -0.19. Suppose 2*k - 3*k + 2 = 0. Suppose 2 = -k*g + 4. Which is the closest to -1? (a) -0.2 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-4)*16\/(-12). What is the nearest to n in -0.1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 39\/(-26) - (-31)\/(-2). Let t = q - -21. Suppose -214 - 12 = -3*r - 2*n, -4*r + t*n = -288. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 - x**2 + 2*x + 12. Let s be o(0). Let b(w) = -10 - 4 - 8*w**2 + 36*w + w**3 - 25*w - 21*w - 3*w**2. What is b(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22211100 - 1220110?\nAnswer: 20220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 3557286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, -5, -4, -3 in ascending order.\nAnswer: -16, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 6 = 5*q, -2*h = 2*q - 12. Let t = -4 + h. Suppose 0 = 5*v - t - 22. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 938*m + 10902 = 1175*m for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 12 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*l**2 + 34*l**2 + 39*l**2 - 96*l**2 + 4*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.04*0.693854\nAnswer: 0.02775416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of 0*d**5 + 3\/56*d**8 + 0*d**2 + 0*d**3 + 0*d**7 + 0 + 4*d + 0*d**6 - 1\/6*d**4. Find the third derivative of v(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-91)\/(-26) - 2)\/(21\/(-6))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0092073844 rounded to six decimal places?\nAnswer: 0.009207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2540590.\nAnswer: 2, 5, 13, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -94.2*0.57.\nAnswer: -53.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 2104 divide 4542563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3452?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 15805416, 15805491, 15805566, 15805641, 15805716, 15805791?\n\"Answer: 75*b + 15805341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or -38480007?\nAnswer: -38480007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -439082956.88 - -11.\nAnswer: -439082945.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (27\/((-117)\/(-13)))\/12*-164.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of -t**2\/2 + 4*t + 5405. Suppose -2*l + 32 = -6*l. Let s(d) = -d**2 - 9*d - 3. Let f be s(l). Calculate m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + (-252)\/(-18) + 2 - -33?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8272223077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -136, -319, -628, -1099, -1768?\nAnswer: -2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22 and 151712?\nAnswer: 151712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 367b878 - 5?\nAnswer: 367b873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p - 1 + 1)*(0 - 1 + 2 - 3 - 1 + 3 + (1 - 1 + 1)*(0 + 1 + 1))*(2*p + 63 - 63).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 224*c - 234*c + 5 - 65 = 0. Let x(a) = -2*a - 3. Determine x(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -93b (base 16) to base 9\nAnswer: -3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 333 - 3627*u**3 + 3637*u**3 - 333.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1137888298 divided by -2.\nAnswer: 568944149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 315797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m. Let h be v(7). Let b = -10 + h. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -9*y**2 - 743*y - 1985. Determine h(-82).\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, u: 4, w: 2, f: 1, k: 1, j: 11}. Give prob of sequence ukfu.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 176544330 divided by 58848110\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is v in -v**2 - 45184*v + 4800740 = 0?\nAnswer: -45290, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8899 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.3 - 0. Let h = 1.2999736 + d. What is h rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -230 = -51*p + 127 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 364\/208 + 1*-1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-m**2 + 182*m**2 + 51*m**2)*(118 + 162 - 80 + 54 - 76 + 190) to v*m**2 + t + k*m and give v.\nAnswer: 85376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -98*p + 56 - 938 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120 divided by -2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -12, 0 = -5*q - k - 2*k + 6. Suppose 61 - 55 = 2*r. Solve d - p = 4*p + 7, -3 = r*d - q*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*v - 90*v + 44*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r**4 + 1133*r**3 - 34576*r**2 - 26564*r + 94192 = 0. Calculate r.\nAnswer: -406, -2, 4\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -48*s**2 + 5. Let x(h) = 6*h + 17. Calculate x(n(b)).\nAnswer: -288*b**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 11*w**2 + 5*w - 3. Let c be k(-2). Suppose 3*i + 22 - c = 0. What is the second derivative of -21*q**i + 6*q**3 + q + 22*q wrt q?\nAnswer: -90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3246a + 2?\nAnswer: 32470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000027695 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - 1. Let f = 2 + -3. Let h = 51 - 54. What is the closest to f in w, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -14*k**5\/15 - 5398*k**4\/15 + 254386*k**3\/15 - 920894*k**2\/5 + 379236*k\/5 = 0.\nAnswer: -429, 0, 3\/7, 17, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 15*x**2 - 5*x - 8. Let z be w(15). Let h = 40 - z. Suppose 2*u = -29 + h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -15*a**3 - 5*a**2 + 8*a - 2. What is y(2)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of -s**5\/120 - s**4\/6 + 17*s**3 - s**2 - 37. Let l(k) be the third derivative of h(k). Let c = -6 - -3. What is l(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -2, 12.2 in decreasing order.\nAnswer: 12.2, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*v = -11*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*l**3 - l**3 + 2 + 10*l**2 - 5*l**2 + 1 - 6*l**2 to the form y*l + b + v*l**3 + a*l**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 223.88, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -225702.321 to the nearest 1000.\nAnswer: -226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2 > 42\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/85, 2\/3, 1, -0.1, -2, 6, 51 in ascending order.\nAnswer: -2, -0.1, 1\/85, 2\/3, 1, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/11 + (-15)\/(-99)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*r - 6*r + 2*r + 4*r + 2*r**2 - 2*r**3 to i + z*r**2 + q*r**3 + d*r and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 20 and 1.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 35, 1126 in descending order.\nAnswer: 1126, 35, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35\/(-3))\/(70563\/(-774) - -69).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 PM and 10:27 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 2*x**3 - 2*x**2 + 6*x - 6*x as z + m*x**3 + l*x**2 + y*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 307620299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + f - f**2)*(-6*f + 0*f - 8*f) - f + 4*f**2 - 2*f**3 - 4*f**2.\nAnswer: 12*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**2\/3 + 240724*x\/3 - 46579600.\nAnswer: 4*(x - 575)*(x + 60756)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 39618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27243659?\nAnswer: 127, 214517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 7, a: 6, j: 4}. What is prob of picking 3 a and 1 j?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 1 = 5. Calculate the highest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*sqrt(78)\/((-2*sqrt(66))\/sqrt(11)) - (-4*(sqrt(13)*1*-6 - sqrt(13)) + -1)) + -4)**2.\nAnswer: 150*sqrt(13) + 8134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -7*g - 6. Let x(b) = 4*b**3 + 2*b**2 - 3*b. Let u be x(2). Suppose 5*o + u = 14. What are the prime factors of f(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w**4 - 285*w**3 + 8613*w**2 - 92907*w + 208656 = 0. Calculate w.\nAnswer: 3, 21, 23, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.791818 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w = 9809 + 19468. Suppose -21*x - w = 1451. Which is greater: x or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-2 + sqrt(136)\/sqrt(8) - sqrt(17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*d = 22*d + 7476. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 63, 93, 135?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11125 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 14*o - 14. Let y be x(7). Suppose 4*c = 4*u - 108, y = 16*u - 13*u - 4*c. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 5889.\nAnswer: -23556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -30 + 30.154. Let n = 0.154 - z. Let u(t) = t**3 - 5*t**2 + 4*t - 5. Let y be u(4). What is the biggest value in y, -11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 0, -0.4, -2, 0.01.\nAnswer: -2, -0.4, 0, 0.01, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 - ((-87)\/(-27) - 2). Suppose -a + 2*a = 0. Is a less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1945*-0.04.\nAnswer: -77.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, s: 1, k: 6, z: 3}. What is prob of sequence kyks?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 6*j**2. Suppose 32 = -3*m - 22. Let b be (-6)\/4 - 63\/m. Let g(h) = -20*h**b - 20*h**2 + 43*h**2. Determine l(g(y)).\nAnswer: 54*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3.2*2406551\nAnswer: 7700963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 8*y**4 - 7*y**3 - y**2. Let l(d) = d**3. Let o(a) = -3*k(a) - 21*l(a). Find the third derivative of o(u) wrt u.\nAnswer: -576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -61 - -33. Let w = -24 - q. Let j(g) = g**2 - 5*g + 3. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13865, -27818, -41771, -55724?\nAnswer: -69677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z - 5*z - 5*i = 667, -2*z - 3*i + 675 = 0. Suppose -2*j = -3*c - z, 0*j - 3*c + 336 = 2*j. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3494.776 to the nearest ten.\nAnswer: -3490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 98\/5 - 21\/5*j - 12\/5*j**2 - 1\/5*j**3.\nAnswer: -(j - 2)*(j + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -254*l - 135. Let w(b) = -63*b - 34. Let n(a) = 2*d(a) - 9*w(a). What is the first derivative of n(f) wrt f?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3*24\/(-24)*1*(-8)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**(2\/9)*x))**(1\/57))**(-3\/8) assuming x is positive.\nAnswer: x**(7\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uyuyuuukppvp.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -9*r. Let u(f) = 7*f + f + 0*f - 2*f. Give q(u(a)).\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are 2327 and 2316 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 206698521 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 3*z + 35, -2*z = -3*z. Suppose q*r - 3*r - 2*f - 10 = 0, -4*r + 4 = -4*f. Calculate the remainder when 12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(363)*-1)**2 - -3*(sqrt(3) - (1 + 1*sqrt(3)))**2.\nAnswer: 22*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, -5, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -15*y + 57. Let q = -20 + 55. Solve -v + 30 = -5*d - 2*v, -3*d - 4*v - q = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/5? (a) -212 (b) 0.4 (c) -5\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 96266 times 5\nAnswer: 481330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 16*w**2 - 7*w. Let m(s) = -8*s + 95. Let p be m(11). Let n(h) = -11*h**2 + 5*h. Let a(y) = p*n(y) + 5*t(y). Let o(z) = 25*z. Determine o(a(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 82129.08l to millilitres.\nAnswer: 82129080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -4. Suppose -3*g + a = -3*a - 22, y = -5*g - a + 6. Solve -10 = -2*n, -g*b - 3*b - 50 = -5*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -950 - -555. Let d = s + 1062. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 180526411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 713 + -635. Calculate the remainder when 388 is divided by m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 44.1891897 - 44.19. What is o rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26841209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(2*g**5 - 4*g**5 + 0*g**5) - 2*g**5 - g**5 + g**5 + 17*g**5 - 92*g**4 + 92*g**4.\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2086, 17, 4, 6 in descending order.\nAnswer: 2086, 17, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 113, 116, 119, 122?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h**2 + 49*h - 65. Let m be g(24). Is ((-7586)\/(-6))\/(m\/(-861)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4690 + -4714. Which is smaller: a or -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/(-6)*-1*2)\/(124\/((-5828)\/(-94))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 4*j**3 - 3 - 5*j**3 + 13*j**2 + 15*j + 0. What is the units digit of i(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4131577*0.4.\nAnswer: -1652630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 190 and 105750.\nAnswer: 2009250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*o - 1871 + 548 - 877 = 0 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 25705 - 2159377\/84. Find the common denominator of (555\/74)\/((-9)\/((1\/(-3))\/1)) and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -93680 by 1.\nAnswer: -93680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 - 5*k + 22. Let l be g(-7). Suppose 3*t - 3*b - 24 = 0, 2*t = 4*t + 4*b + l. What is the highest common divisor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2*j**2 - j + 4*j**3 - 2*j**2 + j**3. What is the remainder when 15 is divided by t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 301133434 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -u**2 + 20484*u - 104898564 = 0.\nAnswer: 10242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of -7*c**4\/12 - 9*c**2\/2 - 7*c. Find the first derivative of b(u) wrt u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(200) + -1))**2 - 5*sqrt(200)*-1.\nAnswer: -30*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 7*a + 4 = 0. Suppose a*k + 7 = 43. Suppose -4*q - 4*r - 12 = 0, -r - 13 = 2*q - 6*r. Sort -3, k, q.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 + 0. Let c(t) = t**2 + 6*t + 2. Let w be c(z). Suppose -2*y + 5*d + 20 = 3*d, 0 = -2*y - w*d + 4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*n = -3*n - 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/10 (c) 0.57 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -4*u + 4*u**2 + 4*u. Let r be (-3)\/(-6)*8 - -41. Let l(q) = 45 - r - 3*q. What is d(l(s))?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ssoonoosqwn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.513621 kilometers to micrometers.\nAnswer: 513621000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - -16. Let k be -2*q*(-9)\/(-18). Let l = -4 - k. Let a(u) = -u**3 - 2*u**2 + u + 4. Determine a(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/(n\/(n\/n**5)*n))\/(n*n\/((n*n*n**3\/n)\/n)*n))\/(n**2*n**(1\/8)*n)*(n**(-1\/5)*n**(1\/5))\/n**2 assuming n is positive.\nAnswer: n**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -15*l + 106. Let f be g(7). What is the greatest common factor of 239 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -2*j**2 + 11*j - 5. Determine n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**5 - 78*q**4 + 744*q**3 - 2720*q**2 + 3456*q = 0. What is q?\nAnswer: 0, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -81051 - 21\nAnswer: -81072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 + 19 + 0 + -7 + 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*p**6 + 37*p**5 - 6*p**3 - 5*p**2 - 3*p - 113?\nAnswer: 480*p**3 + 2220*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 410.9 + -411. Let f = -36.9 - -0.9. Which is the nearest to i? (a) -0.1 (b) -1\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -46980178 divided by 10?\nAnswer: -23490089\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*p = 74*p - 4*v - 1354, 1410 = 3*p + 3*v. Which is bigger: 463 or p?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -3\/20*z**5 + 175*z + 7\/6*z**3 + 0*z**4 - 7\/2*z**2 + 0. Let a(q) = -q**3 + 2*q - 2. What is 21*a(x) - 6*n(x)?\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 57672.\nAnswer: 57672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, -5\/36, 12, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 13, 30, 53, 82, 117, 158?\n\"Answer: 3*n**2 + 8*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*n + 3*m + 18 = 0, 0 = -5*n + 2*m + 5. Let k = 2 - n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 10*s**2 - 1451*s + 13090. What is r(9)?\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-22)\/(-43 - (-56 - -12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 117603 or 116635?\nAnswer: 117603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 18 = 0, 55 = -2*q + k + 57 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 98119, 98118, 98117, 98116, 98115?\n\"Answer: -q + 98120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mkmjjmumfm. Give prob of picking 1 f, 1 m, and 1 u.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/10)\/(-10*4\/(-150)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1 - 94*f + f**2 + 93*f + 5*f**3 - 4*f**3.\nAnswer: (f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 411422629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 81*k**3\/10 - 1683*k**2\/5 - 754*k\/5 - 84\/5 = 0. Calculate k.\nAnswer: -2\/9, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -1 + 713. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d + d**2 + 9*d + 8*d + d in the form q*d + n*d**2 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/42)\/(1\/28*7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/30 and 127\/42006.\nAnswer: 210030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -572 - -970. List the prime factors of k.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/144 and 83\/208?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*i + 25*i - 3*i)*(0*i + 0*i + 3*i**2)*(6 + i**2 + 2*i**2 - i**2).\nAnswer: 270*i**5 + 810*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -10 * 5156213\nAnswer: -51562130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104 and 40036906?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -270*d**3 + 87*d**2 - 6*d.\nAnswer: -3*d*(9*d - 2)*(10*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -8 + 19 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280804 is divided by 5616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 110793 to the nearest one thousand.\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (0*s - s + 3*s)*(-2 - 12129*s**3 + 105*s + 12085*s**3 - 8*s) in the form d*s + y*s**2 + p*s**3 + v + l*s**4 and give y.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let r be (29 - 671\/22)\/((-6)\/26). Factor -r*f**2 - 8 + 3\/4*f**3 + 16*f.\nAnswer: (f - 4)**2*(3*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2*j - 22. Give t(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 128891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 5*w - 1. Let m be g(1). Suppose 0 = -2*c + 6 + m. Suppose 0 = c*f - 3*b - 13, -2*b + 2 = -0*f + 2*f. Solve f*l = -0 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.03 - -4. Let s = 39 - 37. What is the second smallest value in s, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4197781000 to the nearest one million.\nAnswer: -4198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 2 - 7. Let x be (s + 1 - 2)\/(-1). Suppose x*v = -v + 5. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = d - 6. Suppose 2*j - d = 93. Suppose -4*x + 52 = -j. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 8*w**2 + 10*w - 16. Let v be l(7). Solve 0 = -v*b - 4 - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*p + 87 + 203 = 0. Suppose 32 = q + p*r - 46, -5*q + 448 = -4*r. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 817*f**2 + f - 1. Let t be r(2). Suppose 3*j = 2*o + t, -5 = -2*j + 1. Round o to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23700*i = -23810*i - 10230 for i.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2529*z + 1320*z + 1210*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 19)*(-2*l + 5*l + 5*l)*(-30 + 30 - 43*l).\nAnswer: -5504*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 9*d + 6)*((-5 + 1 + 6)*(0 + 0 + 2) + 2 - 2 + 1) + (0*d + d - 2*d)*(-1 + 1 - 3).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1190\/8273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 11155 (base 7) to base 14\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -6. Suppose h*m = 6 - 12. Let f = -4 - -3. What is the nearest to m in f, 0.5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + -13 + -50 + 21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 5*i**3 - 1. Let h be q(1). Suppose 4*r = -h*z + 24, 5*z - 2 = 2*r - 0*r. Find the second derivative of 2*w + w + 81*w**2 - 74*w**z wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -0.1 (c) -0.4 (d) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 + 80*w + 219. Let p be v(-37). Which is the closest to 24? (a) -5 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 + 4*b - 3. Let g be d(8). Let r = g - -38. Solve 4*h + 28 = 2*o - 4*o, r*o = -12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (195\/(-12))\/(-5) + (-3)\/4. Which is the nearest to 0.1? (a) 3 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -47*m + 507 - 8*m**2 - 2498 + 244*m. Let n(h) = 55*h**2 - 1380*h + 13940. Let v(s) = 3*n(s) + 20*o(s). Solve v(u) = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2663 - 1.7337. Which is the nearest to 0.7? (a) 8.5 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b, 0*b - 4*b = -5*g - 1110. Let r = g - -377. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/6 and 163\/1718184?\nAnswer: 1718184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-13 - -4) + (-9 - (14 + -30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1152 and 2347136?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/818 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 5248.061 centuries in millennia?\nAnswer: 524.8061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2322050 and 9288200?\nAnswer: 9288200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract 618726.92969027 from -0.5.\nAnswer: -618727.42969027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.169956 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -6\/6766747?\nAnswer: -6\/6766747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2*z**2. Let s(p) be the second derivative of p**5\/60 - 3*p**4\/8 - 81*p**2\/2 + 19*p - 1. Let w(a) be the first derivative of s(a). Calculate w(l(r)).\nAnswer: 4*r**4 + 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/400 and -47\/358?\nAnswer: 71600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -102 (base 3) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 335448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 - 0. Suppose -4*o + 3*o + 4 = c. Suppose -5*b + o*f + 24 = 0, 5*f + 5 = 5*b - 20. Let n(w) = w**3 - 3*w**2 - 4*w - 2. Determine n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o + o + o)*(-1 - 6 - 3).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 39 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -15*q. Let i(p) = 25*p**2. Let u(v) = 31*v**2. Let b be (2 + 25\/(-10))*-10*-1. Let x(y) = b*i(y) + 4*u(y). Determine l(x(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4694981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i*i**(-8)*i**(-1)\/i*i)**(2\/5) assuming i is positive.\nAnswer: i**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -727.11 + -0.2?\nAnswer: -727.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -185\/18612?\nAnswer: -185\/18612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 6972, 60, -4 in decreasing order.\nAnswer: 6972, 60, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 1 = -2*r + s, r = -4*s - 10. What is the second derivative of k + k + 0*k + 3*k**2 + 0*k**r wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-7)\/(g*g**(-1\/6)))\/(g*g\/(g*(g**(1\/5)\/g)\/g*g*g))**(-21\/8))**(-6\/11) assuming g is positive.\nAnswer: g**(172\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -2*r + 96. Let y be j(25). Suppose 6 - 2*b**2 - 5*b - y*b**3 + 17*b**3 + 30*b**3 = 0. What is b?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4*n + 1123 = 0, 3*n + 460 = -2*w + n. Let q = 246 + w. What is the remainder when q is divided by 48\/5 - (-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2 + c + 89. Let f be l(0). Suppose -f = -z - 23. Suppose -3*r + 603 = -z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - (19 + -22 - 38)) + -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = x - 6, l - 455 + 466 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 0)*(56*i**2 - 15*i**2 - 3*i**3 - 13*i**2).\nAnswer: -3*i**3 + 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -289*h**5\/15 + 170*h**4\/3 - 502*h**3\/9 + 20*h**2 - 3*h + 92. Factor l(t).\nAnswer: -(t - 1)**2*(17*t - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19615 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 - 2*v - 8. Does 10 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 72168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 11, -2, -42, -1 in ascending order.\nAnswer: -42, -2, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o**3\/5 - 44192*o**2\/5 - 132756*o = 0. Calculate o.\nAnswer: -15, 0, 11063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -8097*t + 9100*t = 68204 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 66 + 97. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -481 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 222959513 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 12 = -3*o. Suppose o*h + 8 = -0*h. Let w(t) = t**2 + t. Let d(u) = 2*u**2 + u - 2. Let j(k) = d(k) - 4*w(k). Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(26)\/sqrt(2) + -5 + -5.\nAnswer: -9 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 101 = -0*r - 85. What is the lowest common multiple of r and 1866?\nAnswer: 14928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 77169 and 1392.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (((-1*sqrt(1900) - sqrt(1900) - sqrt(1900))*-2 - (sqrt(1900) + -1 + sqrt(1900) + 0 - sqrt(1900)) - 1*(sqrt(1900) + 1 + 5))*4)**2.\nAnswer: -6400*sqrt(19) + 486801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1083564 and 601980?\nAnswer: 5417820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -2*q - 1, -114*h + 3 = 4*q - 109*h. Solve 5 - 9 = -q*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 764578907.\nAnswer: 71, 10768717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 18 divided by 14?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 4*r**2 + r + 1. Let u(b) = b**3 - 8*b - 8. Let n(m) = u(m) - 2*z(m). Calculate n(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -196 + 189. Which is the second smallest value? (a) -1 (b) 1 (c) y (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 11) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {i: 3, d: 5, x: 5, a: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 324682 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 876592.\nAnswer: 2, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -7*b - 18. Let k(s) = 3*s + 7. Let j(y) = -8*k(y) - 3*t(y). Let n(u) = -48*u - 33. Let v(r) = -10*r - 3. Let h be v(3). Determine h*j(c) + 2*n(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 6, x: 9, n: 2}. What is prob of sequence nn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2480? (a) -4 (b) -0.5 (c) 5 (d) 0.1 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -m - 2*f - 13, -158*m + 154*m - 3*f - 32 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of f**4 + 386*f**2 - 12*f - 381701 wrt f?\nAnswer: 4*f**3 + 772*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 1296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 3*o = -3*q + 9, -15 = -5*o - q. Suppose 50 = 5*k + 5*v, o*v = -3*k - 2*v + 40. Solve -y + 1 - k = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 3*n - 17959, -6*n - 4 = -8*n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1.9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 4. Let q(h) = k*h + 2*h - 5*h + 0*h. Suppose -5*o - 5*i + 10 = 0, 5*i - 1 - 7 = -3*o. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 187\/(-55)*(-504)\/24 + (-26)\/(-10)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q + 323 + 445 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 0 = a, a = -4*w + 9391. Is 29 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1320286808?\nAnswer: 2, 3163, 52177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiicoiiicicocciiic. What is prob of sequence iiio?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 330 and 45370.\nAnswer: 1497210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 977*i**2*x**3 - 241*i**2*x**2 + 13*i**2 + 4*i*x**3 - i + 373*x**3 - 221*x**2 + 6 wrt x.\nAnswer: 5862*i**2 + 24*i + 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 80 and 1216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-190)*24\/4*1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -8*d + 101. Let t be g(8). Suppose 157 = 8*y - 139. What is the highest common factor of t and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*i + 10 = -55. Suppose -19 = -4*b + 3*b. What is the remainder when b is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(4 + sqrt(448)*2).\nAnswer: 24 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(44) + 2)**2.\nAnswer: -48 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 983 or 984?\nAnswer: 983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 256740 = -16*j + 256532 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + 12. Let j = 3 - l. Calculate the remainder when (-305)\/(-45) + (-2)\/j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 93.12198cm to meters.\nAnswer: 0.9312198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4796 and 121.\nAnswer: 52756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2868 + -2868. Put u, -5, 307, -4 in descending order.\nAnswer: 307, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -121680 (base 11) in base 4?\nAnswer: -232333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 45 + -49.2. Let j = -19.018266 + 23.21819. Let w = z + j. Round w to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 372213?\nAnswer: 3, 41357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1411577400 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6767340 and 240?\nAnswer: 27069360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7 - -2 - (10 - 3)*-2. Solve 3*k + 6*y = 2*y - z, 0 = 5*k + 5*y + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*q - 30*q - 20828 = 0. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.02 in 1\/9, 0.04, 72, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5269*s**4 + 9*s**3 + 2*s**2 - 856*s + 7 wrt s?\nAnswer: -126456*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 349 - 346. Let a be 0\/(z - (-3 - 5\/(-1))). Let r(o) = o - 24. What is r(a)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 0 + 4*w + 6 in the form x + q*w and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 26*n**2 - 1. What is the tens digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v - 2. Let y(w) = w**2 + 7*w + 8. Let d be y(-6). Suppose -d*p - 8 = 4*i - 6*i, 3*p = -i - 12. Determine s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 284198 less than or equal to 284197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 253142, 506281, 759420, 1012559, 1265698, 1518837?\nAnswer: 1771976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) 9 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -l - 4*o + 2, -4*o = -27 + 11 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 94027632.3s?\nAnswer: 155.46896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -682*g**2 - 4754*g + 90. Give d(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -183*c - 10. Is l(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/9 in -2\/5, -31.8, 2\/3, 17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7632 = -14*c + 2*c. Let j be c\/45 - 2\/15. Calculate the greatest common factor of j and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 4*r + 1. Let y be b(1). Suppose y*s = 4*s + 148. Suppose 4*u - s = 5*p, 5*u - 246 = 3*p - 61. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.66 - -0.53. Put r, -0.4, 0.4 in ascending order.\nAnswer: -0.4, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, r: 1, f: 2, w: 1, u: 1, q: 2}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 902, 3420, 7564, 13328, 20706, 29692?\nAnswer: 40280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-60)\/45)\/(-4 + 190\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 155*u + 3 = 156*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 26*p + 2. Let u(w) = -2241*w**2 - 2*w. Determine i(u(q)).\nAnswer: -58266*q**2 - 52*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -4*q**5 + 292*q**4 + 4232*q**3 + 20192*q**2 + 38272*q + 22016 = 0.\nAnswer: -4, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 270 a factor of 8509320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(84)\/sqrt(3) - -5*((sqrt(56) + sqrt(504))\/sqrt(8))**2) + -4.\nAnswer: 2*sqrt(7) + 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) -2\/9 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 162*m**6 + 4*m**5 + 14*m**3 + 96663*m**2 wrt m.\nAnswer: 19440*m**3 + 240*m**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -931 + 1051. Calculate the highest common factor of 192 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2197329 is divided by 31845.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -52*s + 58. Let d(v) = 52*v - 57. Let c be (-6 - (0 - 4))*(-1 + 0). Let l(m) = c*j(m) + 3*d(m). Differentiate l(u) with respect to u.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32038690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-10)*5\/(-3)*(-33)\/(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -133*n**3*u - 349*u with respect to n.\nAnswer: -399*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -11023 + 0?\nAnswer: -11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -8*s**2 + 21*s + 22. Let d(j) = 5*j**2 - 10*j - 11. Let q(g) = 5*d(g) + 3*u(g). Calculate q(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -56 - -56. Suppose 11*q - 6 - 5 = f. Suppose 4 - q = -3*o. Sort o, 3, 0, -3 in decreasing order.\nAnswer: 3, 0, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (10*s + 38*s + 36*s)*(-3 + 2 + 3)*(-7 + 24 + 12) as n + l*s and give l.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 728 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -10 + 34. Suppose -6*g = o + 6. Let q be -1*(g + 3 + 0). Which is bigger: 18 or q?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2266 * 26.5\nAnswer: -60049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.5 (c) 2\/3 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*a + a - 5*w - 21, -4*a + 4*w + 84 = 0. Let h = a + -10. Suppose 3*o + h = 53. Solve -4*j - b = -13, -3*b + o = 5*j - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -167*q**2 - 5*q. What is w(-1)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -122 + 2668*w + 37 + 43 + 42 as g + r*w and give r.\nAnswer: 2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 57 - 54. Let j(o) = 2*o - 12. Let w be j(4). Let r = -13 + 22. What is the biggest value in r, w, 0.5, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -58b92 (base 15) to base 6.\nAnswer: -10020545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 157763568 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/18891 and -38\/841699.\nAnswer: 7575291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 8*v + 3. Let o(c) = 17*c + 7. Let g(y) = 4*o(y) - 9*u(y). What is g(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4715 and 460?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -4*n + 6*n + 5, -3*i = 2*n - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 6. Suppose 4 = r*b - 4. What is the second derivative of 6*x**2 - 2*x**3 + x - 6*x**b wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 176 - -335. Let f = -958 + y. Let m = 424.9 + f. Round m to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1*(sqrt(4752) + sqrt(4752)*-2))\/(2*sqrt(108)\/sqrt(9))*2.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -76*a - 499. Calculate i(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - g + 14 = 0, 5*o + 6*g = 9*g + 94. Let t = 19 - o. Let x = 3.06 - 0.06. Which is the closest to -0.1? (a) x (b) t (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5342568227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.7312831 kilograms?\nAnswer: 731283100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 233636 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7612 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15711263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 18 = c. Let y = 16 - c. Let q = y + -4. Solve 4*j - q*o + 3 = -9, 4 = -5*j + o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 111*r - 421 + 92 = 0, 3*n - r + 15 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = -r - 11, -4*f + 4*r + 29 - 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 233, 300, 367, 434, 501, 568?\n\"Answer: 67*h + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 63, 30, -23, -102, -213?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 3) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x**3 - 11*x**2 - 5*x - 6 - x**3 + 5*x**3. Let c(l) = -l**2 + 35*l - 210. Let m be c(8). Let y be v(m). Solve 4*g = -y*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 178 + -176 + (-3)\/(-1). Solve -b*j = 5*y, -41*y + j + 3 = -39*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1905 times 1.674\nAnswer: 3188.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -683.6 + 684. Which is the smallest value? (a) m (b) -0.08 (c) 3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (68 - 68 + 12*p**3)*(3*p**2 - p**2 - p**2).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -942530 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2568 divided by -642.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 58779650 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 9:03 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -40 (base 8) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17029*y**2 - 8584*y**2 - 8595*y**2.\nAnswer: -150*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 28 and 714?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -6*l**2 - 81*l - 3. Let y be r(-13). Let q = 3 - -3. Suppose -q = -f + 48. Calculate the highest common divisor of y and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k + 13. Let v be j(-2). Suppose -2*a - 4*z + 26 = 0, 5*a + 6*z = v*z + 5. Solve -o = -a*d - 8, 2*o = -4*d - 0*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134 - 134 - 10*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 2*u - 7. Let j(x) = -x + 6. Calculate 4*j(b) + 3*w(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -5*j - 8 - 7 + 24 + 4*j**2 - 12. List the prime factors of g(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3798.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13 - 8. Suppose 0 = 5*z - 3*z + 5*w + 14, -z = -a*w - 23. Let b be ((-1)\/(-3))\/((-3)\/2). What is the closest to 0 in z, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -57*c**2 - 10*c + 15. Let d(q) = 55*q**2 + 8*q - 12. Let z(i) = -5*d(i) - 4*p(i). Let l(a) = 28*a**2. What is l(z(t))?\nAnswer: 61852*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 120 divided by 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-3 - (-75)\/9) + 6\/9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 235139344?\nAnswer: 2, 11, 1336019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 119 and 2387.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -964 + 963.7. What is the nearest to 1\/3 in 5, -1\/9, v, -21?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1995993649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 2*n**3 - 30*n**2 + 30*n**2 - 8*n**3.\nAnswer: -10*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -7*r - 10. Let q be v(-13). Suppose -q = -3*m - 120. Let t be (m\/(-5))\/((48\/30)\/8). Solve 0 = -5*l + t + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320119 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 121571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/86 - (-1090)\/4300.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 122 + 31 = -h - 2*x, -4*h = 2*x + 624. Let a = h + 161. Calculate the remainder when ((-5)\/10)\/(2\/(-24)) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/7 + (-297)\/63. Let f = -4 - o. Let u(p) = -8*p - 1. Let h(v) = -v. Determine f*u(c) - 6*h(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -30 - -34. Solve t - 4*t + 3*x = -12, t = 3*x + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-80)\/250)\/(126\/140*(-8)\/(-6))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 8) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/282*18434\/(-70). Let i be (-2)\/3*(-174)\/(-38164). Let o = i - j. What is the common denominator of o and 5\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 40723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -118678755438106 plus 9?\nAnswer: -118678755438097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1 >= -7214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -2*b + 1. Let v(c) = -3*c + c - 2*c + 2*c + b. Let t(u) = u - 2. Let o(n) = 2*t(n) + 3*v(n). Differentiate o(x) with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6651 times -1.5?\nAnswer: -9976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (76\/57)\/((-4)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 263151 (base 8) in base 14?\nAnswer: 2561b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eligwwq. Give prob of picking 1 g, 1 e, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-110)\/(-4) + 14\/28. Let l = 5 + -1. What is the highest common factor of l and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffqqqwq. What is prob of picking 2 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 15582090 and -11?\nAnswer: 15582101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 - (0 + 3)\/(-3). Suppose -6 = a - c*a. What is the tens digit of ((-68)\/(-6))\/(a\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -38 + 22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1589 (base 14) to base 16\nAnswer: -f05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 + 70*j - 497. Let k be f(62). Put -12, 2, 16, k, -2 in descending order.\nAnswer: 16, 2, k, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -657, -7392, -25667, -61254, -119925?\nAnswer: -207452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11\/12 in -4.3, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 51900*p**4 - 7*p**2 + 326*p + 4 wrt p.\nAnswer: 1245600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w*w**(1\/3))\/w)\/w**(-5\/4))**(6\/11) assuming w is positive.\nAnswer: w**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1*3)\/((-2)\/(-2)). Suppose -5*a + 191 = 3*j + 2, -g*a = 0. Let x(d) = 156*d - 444. Calculate the remainder when j is divided by x(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110111000001110110001 (base 2) in base 16?\nAnswer: 1b83b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001 - 11382219442?\nAnswer: -11382219442.0001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the second derivative of 5*x**4\/12 - x**3\/3 + x**2\/2 + 2*x. Let g be d(2). Let m = 12 - 10. Solve -4*s = -2*s + 5*k - g, -s = -m*k + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**2 - 5*w - 8. Let c(a) = -2*a**2 - 4*a - 7. Calculate 7*c(h) - 6*j(h).\nAnswer: -2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -3.9, -10, 2\/7 in descending order.\nAnswer: 2\/7, -3.9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 665 and 95685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - (-14)\/10) + -4. Let a = 0.3 - 0.1. Let w = 0.3 - a. What is the closest to 2\/5 in w, n, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -6, 0 = 3*j + 3*x - 47 - 58. Suppose k = 2*k + j. Let b be (-1112 - -1082) + (16\/(-2) - -1). Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-9 - (-747)\/81). What are the prime factors of (9\/(-27) + (-12)\/b)*91?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3008908.\nAnswer: 2, 7, 41, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**2 + 24*q + 2. Let g be a(-24). Solve 1545 - m**3 - 772 - 3*m - 774 - m**2 - 2*m**g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7984*2\/(-14) + 3\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.3, -778, -1.3 in increasing order.\nAnswer: -778, -1.3, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-10) + (-197)\/(-240))*-3\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.059, -13, 2\/13 in increasing order.\nAnswer: -13, 0.059, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 3 + 5. Let d = -129 - -901\/7. What is the second biggest value in -1, d, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand c**5 - 2 + 2 - c + c + c**5 + c - c**5 - c + (c + c - 4*c)*(-2*c**4 + 1 - 1) + c**5 - 1 + 1 - 1 + 1 + 2*c**5 + (1 - 2 + 0)*(5*c**5 - 10*c**3 + 10*c**3).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-150*s + 295*s - 147*s)*((-3 + 3 - 1)*(-2*s - 3*s + 6*s) - 3*s - 3*s + 0*s) as b*s + n*s**2 + i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1793098, 3586187, 5379276, 7172365, 8965454, 10758543?\nAnswer: 12551632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 8.8, -11, -3.\nAnswer: -11, -3, 5, 8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -167 - -169. Suppose n = 2*l - 0*l - 35, 3*n = m*l - 37. Solve -d - 3*w = 10, -4*w - 3 = l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3 + 232*k**2 - 2859*k + 2628.\nAnswer: -(k - 219)*(k - 12)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 0*c - 180 = -3*m, -5*c + 4*m + 145 = 0. Let k be (c\/6)\/(4 - (-21)\/(-6)). Solve -3*j = 3*a + 6, -2*j = 3*j - 2*a - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 44*v**5\/5 - 42512*v**4\/5 + 13694016*v**3\/5 - 1471483328*v**2\/5 + 267089984*v\/5 = 0.\nAnswer: 0, 2\/11, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -724 - -695.1. Let f = -0.1 + b. Let q = f - -28.78. Round q to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2010264809 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0012982 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 8:14 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 83 and 4260058?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z*z**(1\/11))*z\/(z*z**(1\/27))*z*z assuming z is positive.\nAnswer: z**(556\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -494245\/244 - -8101\/4. Which is the fifth biggest value? (a) 3\/8 (b) 5 (c) 0 (d) k (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1 and 280?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/(-3))\/(2\/(-6)). Suppose q - 10 - d = -2*i, 20 = -5*q. Let a be (-3 - 2)*(-2 + -2). What is the greatest common divisor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 738 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10744 is divided by 10742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 107*-74608.\nAnswer: -7983056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f + 28 - 7 = 0. Let c be 836\/2 - (-3 - f). Calculate the greatest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 794*u - 268*u - 264*u - 13*u**3 - 262*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 16786*n**2. Let l(w) = -6*w. Give s(l(i)).\nAnswer: 604296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -2\/21, -6\/11, -0.6, 17, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 96 + (-1912 - -1692)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 3*q - 15 = 0, -5*r = -r + 4*q - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 5 = y, 2*m - 2*y + 3*y = 4. What is the remainder when (-272)\/(-6) - 1\/m is divided by (-2)\/2*(5 + -28)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 5:34 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3578236 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4186957 to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + 5. Let l be 18\/(-16)*-2*w. Suppose 2*b - 60 - 138 = 0. Calculate the highest common divisor of l and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 3, f: 5, h: 1, v: 3, s: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -567877, -567876, -567875?\nAnswer: -567874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -332532 + -2?\nAnswer: -332534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3705)\/(-26))\/(-19)*12\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 29919824 and 80.\nAnswer: 149599120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 1569*t + 13 = -1566*t, 0 = -3*t + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 12:47 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + 302002031230?\nAnswer: 302002031231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*s + 8*s + 440. Calculate the remainder when s is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36685 is divided by 7662?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14796 - 44380 + 14789 + 14795 - 22*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-8 - -2) + 42 + (-67 - -40)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (190\/(-285))\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.320702 rounded to 3 dps?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -39*x**5 + 0*x**5 + 97*x**2 + 17*x**2 wrt x.\nAnswer: -2340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 966*r**4 + 1061 wrt r?\nAnswer: 3864*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 344 + -5?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-3*3*sqrt(475)*-1 - (-3 + -3 + 6*sqrt(684)*-1).\nAnswer: 6 + 306*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 105367 in -3, -0.1, -8\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 - 5*w - 20 - 9)*(3*w + 2*w + 2*w).\nAnswer: -35*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13632 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4821679800?\nAnswer: 2, 3, 5, 7, 257, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 27.71 and -0.49.\nAnswer: -13.5779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8245551 and 7995.\nAnswer: 535960815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + 10 - (-14 - -12). Suppose 0 = 10*o - 25 - 15. Let t = -44 + 48. Solve -o*l = -t - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 14*u**3 - 11*u**2 - 9*u + 15. Let r(a) = -7*a**3 + 6*a**2 + 5*a - 8. Suppose -3*q - 18*q = -126. What is q*b(p) + 11*r(p)?\nAnswer: 7*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -16*i**2 + 2*i + 1. What is r(2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*b + 47*b + d + 154 = 0, -d - 4 = 0. Solve -b*a - 25*a = 220 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(243) - (sqrt(243)*2*3 - sqrt(243)))\/(sqrt(144)*-2).\nAnswer: -3 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31 + -32. Let p(g) = -3*g**3 + 1. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.053 + -0.153. Which is greater: p or -30?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14542 divided by -6978?\nAnswer: -7271\/3489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2096021, 4191990, 6287959?\n\"Answer: 2095969*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 738*k + 4. Let u be (4\/12)\/((0 + 4)\/60). Is t(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 29*m + 18. Let q = 4 + 4. Let l be g(q). Let z be l\/40 - 1\/4. Solve z = s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-790)\/(-70) - 4\/14. Suppose q*a - 14 = 4*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 112 + -4722?\nAnswer: -4610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pgh when three letters picked without replacement from {h: 3, y: 1, c: 1, g: 4, o: 1, p: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 3 + 2*b + 1 - 5. Let c be z(1). What are the prime factors of (c + 1)*11\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 661684, 661492, 661300, 661108?\n\"Answer: -192*y + 661876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.11, -6, 40.8, 1\/7, 0.1 in descending order.\nAnswer: 40.8, 1\/7, 0.11, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -88122, -176251, -264382, -352515, -440650?\nAnswer: -528787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 17 + (-639)\/54 + -5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -50\/159 and -65\/51.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4 - 1)*20\/(-15). Put 4, -1, k in ascending order.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-132)*-68 + -1 + (-21)\/(-22).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q. Let w(b) = -7*b**2 - 12*b - 6*b**2 - 7*b**2 + 13*b**2. Calculate w(k(d)).\nAnswer: -7*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 - -8. Let w(n) = -21*n**3 - 3*n**2 - 4*n - 3. Is w(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -230857, -230859, -230861?\nAnswer: -230863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 13, -115, 5, 0, -138 in descending order.\nAnswer: 13, 5, 4, 0, -1, -115, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -82773 + 82773.000038393. What is v rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 + 5. Let m = w + 7. Suppose 4*x + i - 70 = 0, -3*i = x - m - 8. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -85, -719, -2443, -5803, -11345, -19615, -31159?\nAnswer: -46523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (-5)\/(-7) - (-1 - 1). Which is the closest to 0.3? (a) 0 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2657568781 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 747261.\nAnswer: 3, 79, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(2\/5))**(-32)*g**(2\/19)\/(g\/((g**(1\/3)*g*g)\/g)))**(-2\/19) assuming g is positive.\nAnswer: g**(10694\/5415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 83350800 a multiple of 1521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*j + 4*c = 16*j + 5, 3*c = -3*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6573697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 3073, 0.49, 5, -3, 2\/11.\nAnswer: -3, 0.1, 2\/11, 0.49, 5, 3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-63)\/(-6) + 6\/(-4). Suppose -q + b = m, -4*m - 9 = -4*q - q. Suppose 6*p - 2*p = q*z + 11752, -p = z - 2929. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j - 3*j - 2*w + 134, 4*j - 2*w - 202 = 0. Let q = j + -46. Factor 1\/2*d**5 - 1\/2*d**4 + 1\/2*d + d**q - d**3 - 1\/2.\nAnswer: (d - 1)**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h + 11. Suppose 2*w + 2 = -4*c + 4, 0 = w - 3*c - 21. Let a be i(w). Let k(n) = 0*n + 3*n - 3*n + n**a. Let b(g) = 4*g**2. Determine k(b(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -327 - -323. Suppose 4*f + 2 = 72*d - 71*d, 3*f + d = 2. Sort -2, v, -16, f in ascending order.\nAnswer: -16, v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the second derivative of -n**7\/2100 - n**6\/900 - n**3\/3 - n. Let b(a) be the second derivative of i(a). Solve b(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -21\/10? (a) 8\/15 (b) 11 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 889473 is divided by 370.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92762316 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -1. Let v(t) = -t - 1. Let x = -16 - -23. Let i(k) = 4*k + 4. Let z(s) = x*v(s) + 2*i(s). What is y(d) + z(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -154.2 - -5.2. Let x = s - -145. Is 1.2 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 97*a**2 - 13*a**2 - a**2.\nAnswer: 83*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 2*y - 182. Let q be i(18). Is q less than or equal to -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6099 and -5431304?\nAnswer: 5425205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8896, 8890, 8872, 8836, 8776, 8686, 8560, 8392?\nAnswer: 8176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + g + 928, 4*h + h - 4652 = 2*g. Let w = h - 925. Solve w*c + 1 = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 6 - 41. Suppose q - 7*q + 186 = 0. Suppose -32*j = -q*j. Put a, -3, j in descending order.\nAnswer: a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/12 (b) -1 (c) -2 (d) -2\/9 (e) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -135269 and 33.306?\nAnswer: 135302.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((10\/(-650))\/(1\/13))\/(4\/((-4)\/(-3)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (4 - 1) + -5 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43019 + r + 43019.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.06 (b) -2\/3 (c) 0 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/7030 and 49\/40700?\nAnswer: 773300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 245529 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 25*k - 50 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18541.3 + -19604. What is g rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*q + 1294 = 1651 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -j - 4*y, 31 = -0*j + 3*j + 5*y. What is the remainder when 9\/(-12) + ((-236)\/(-16) - 1) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 528049.\nAnswer: 113, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162)*2 + -5 + sqrt(162) - (3 + 1 + sqrt(162)))**2 + (3 + (1 + sqrt(98))**2)*1.\nAnswer: -310*sqrt(2) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -207*p + 522 - 86 = -98*p. Find i such that 10*i - 1\/2*i**p + 7\/2*i**3 - 4 - 9*i**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 43\/4. Which is the fourth biggest value? (a) 3\/4 (b) -0.3 (c) n (d) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 AM and 11:11 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 3*j - 5 = -6*j, 4*o = j + 20. Suppose -22 = -4*r + o*u, u = 4*r - u - 28. Solve h + 3*h - 4*w = -r, -3 = 2*h - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -815934 + 87?\nAnswer: -815847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 501866861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -189773014*q**2 - 233774477*q?\nAnswer: -379546028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -10 (c) -0.7 (d) -2\/13 (e) -1 (f) -8\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**5 - 2*q**5 + 2*q**5 + (0*q + q - 3*q)*(q**2 - q**2 - 2*q**4) + 269*q - 269*q + 2*q**5 - 99.\nAnswer: 4*q**5 - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of 0*l - 1\/24*l**4 - 2*l**2 + 0 - 2\/3*l**3. Suppose 3 = -k - 0. What is q(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -52 + 76. Suppose 0*b = -2*b + y. Suppose 2 = l - 16. What is the highest common factor of l and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -3\/5, 0, 0.39, -0.2, 20 in decreasing order.\nAnswer: 20, 3\/7, 0.39, 0, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.715, -18, 2\/1355?\nAnswer: -0.715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 5*t**2 + 20*t + 2. Let c be n(-4). What is the common denominator of (7\/56)\/(c\/(1760\/12)) and -48\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 6*c**2 - c + 1. Let x(f) = -f**2. Suppose -s - 2 = s. Let z be ((-8)\/24)\/(s\/(-3)). What is z*u(j) - 4*x(j)?\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.007268 rounded to four dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of 1063*g**4\/12 + 1669*g**2\/2 + 1956*g. Differentiate n(q) with respect to q.\nAnswer: 2126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*n - 96 + 1394. What is the remainder when n is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -103 (base 4) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**4 + t**3 + 4*t**2 - 4*t.\nAnswer: -t*(t - 2)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (18*p**2 + 18*p - 18*p)*(-8*p + 0*p + 0*p)*(4 - 4 - 2*p).\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -68084, -68053, -68008, -67955, -67900, -67849?\nAnswer: -67808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r - 753 - 1083 = 0. Put 0, 2\/7, r, -1\/4 in ascending order.\nAnswer: r, -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -96807 by 1421.\nAnswer: -96807\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 7895 = 4*q, -q = -2*q - 5. Let m = -827 + b. What are the prime factors of m?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1198.52 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -0.111 (b) -11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (8*n + 11*n + 4*n)*(15 - 13 + n**3 - 4) in the form m*n + q + w*n**3 + g*n**4 + t*n**2 and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = -5*l - 14, 171*l = -3*p + 169*l + 59 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(2*2\/(-28)). Let v = 65\/9 - m. Let h = -15.61 - -15.81. Which is the smallest value? (a) v (b) h (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5260.3849 - 5261. What is g rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 773 - 757. Suppose -3*d + 4*n = -w, -d = n + 6 - 12. Solve 5*a - d*a = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4 - 0) + 5)*-5 + -183. Let w = x - -193. Solve -4*v - 23 = 3*i, -6 = 3*i - w*v - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (20 - 11 + 31)*(2*c - 2*c - 3*c**5).\nAnswer: -120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ury when three letters picked without replacement from ury.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-4))\/((-75532)\/4048 + (-1)\/11)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*f + 35 + 7 = 0. Solve 0 - f = 3*o - z, -2*o = 5*z - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -139*d = -134*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 80085 and 26695?\nAnswer: 80085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-10)\/20)\/(1\/4). Let v(o) = -46*o - 7. Is v(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f + 16. Let g be u(-11). Suppose -5 = g*r, -2 = -2*s + 2*r - 4. Let z = 31 + s. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 6*l**3 + 2*l**2 + l - 2. Let x be z(1). Suppose -x*v + 344 + 384 = 0. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5.16066 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -2*c - 3*c + 14, 4 = 2*c + 2*n. Suppose 0*m - 171 = -c*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -231333 (base 6) to base 16.\nAnswer: -4d49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 + 22. Let h be m(0). Let k be h\/3 - 2\/(-3). Suppose -45 = k*x - 11*x. Solve -6*q = -q + x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 2) + 4 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 71.42875mg to micrograms.\nAnswer: 71428.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of a**5\/20 - a**4\/2 - 4*a**3\/3 + 5*a**2\/2 - 3*a. Let i be y(7). Is (0 - (-8 - -1)) + i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41566 is divided by 11256?\nAnswer: 7798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 - 2*h**3 + 2*h**3)*(-25 - 12 + 22)*(0 + 2 + 0).\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -5837, -11034, -16203, -21332, -26409?\n\"Answer: 2*i**3 + 2*i**2 - 5217*i - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 25*j**2 + 4*j - 5. Let g(d) = 13*d**2 + 2*d - 3. Let s be (-24)\/(-36) + 2*20\/(-6). Let m(x) = s*h(x) + 10*g(x). Factor m(o).\nAnswer: -4*o*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*p + 8*p**3 + 6*p)*(5 - 6 + 2) + 33*p**3 + 18*p**3 - 6*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -2*n - 2*g, -3*n - 648*g - 30 = -0*n - 653*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -l + 8*k + 29, -9 = -3*k. Let q = l + -42. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 705 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -4843 - 4842 - 4321*h**2 + 9681 in the form q*h + a*h**2 + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.111 (b) -4 (c) 4 (d) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-29 - (-46222)\/847) + 25\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -45 - -54. Solve n + z = -2*g, -n + 3*g + 3 = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-6 - 5 - -4)) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.564 and -0.5.\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -50315 - -80716. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6423cb - -10?\nAnswer: 64240b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2*a**3 - 3)*(17 + 9*a - 17) + 0*a**3 + 0*a**3 - 2*a**4.\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -18.16862 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 125754930 divided by -486\nAnswer: -258755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:11 PM and 3:07 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -3*((-927)\/1545 + ((-192632)\/30)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of 50*l**3\/3 + l - 382. Let k(q) = 4*q. Determine p(k(z)).\nAnswer: 800*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -209686 divided by 118?\nAnswer: -1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 333 divide 112483071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -39264 = 269*p + 487*p + 62*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1292, 2592, 3870, 5114, 6312, 7452, 8522?\n\"Answer: -2*s**3 + s**2 + 1311*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 18b371 + 4?\nAnswer: 18b375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30267 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -0.5 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4\/9 (b) 0.3511 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-5 + -4 - (18 - 32)) + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*b + 8*b = 26*b + 1184 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g - 10 + 2, -2*g + 68 = 39*f - 126 + 34 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*o - 25*o + 13*o**3 + 75*o.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -9*f + 1. Let h be 1\/(99\/(-102) + 1). Let w = h - 33. Calculate c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-30))\/(2\/45*15)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dqhhhhhhhhhhhh. Give prob of sequence qh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-7)*(-21)\/(-15). Let w be (-1 - (-4)\/(-28))\/(-4). Which is the nearest to p? (a) 2 (b) 3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t = -25 + 23, -2*t - 24 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 19157 (base 15) to base 13\nAnswer: 2b015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 4*z - 1546, -z + 3*z - 2*b = 774. List the prime factors of z.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 53 - 50. Put b, -8, 2, 1 in decreasing order.\nAnswer: b, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 62212d (base 15) to base 5\nAnswer: 2143231033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1542403279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j = 6*j - 28. Let f(t) = 2*t**2. Calculate f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - -4) + 0\/(-4). Let x = 1 - 0. Let k(t) = -t**3 - 3 - x + 5 - t + t**2. Let r(z) = z**2 - z + 1. Calculate b*k(h) - r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 2*i - 252, -4*i = -4*d - 99 - 413. Calculate the least common multiple of 91 and i.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -170706404 - 8?\nAnswer: -170706413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 159 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-54*u + 43*u - 57*u)*(-11 + 1 - 6) - 2 + u + 2 as q*u + r and give q.\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136)*-1 - sqrt(136))*6)\/((1*sqrt(288) + sqrt(288) - sqrt(288) - sqrt(8)) + sqrt(8))*-5.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -86\/21 and 46\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from onpnnnnnnpnon.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000004836 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1740ab (base 12) in base 4?\nAnswer: -1201322003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35\/2*r**4 + 35\/2*r**2 + 0*r + 0 + 5\/2*r**5 - 5\/2*r**3 = 0. Calculate r.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3, 505, 10, -2, 65 in decreasing order.\nAnswer: 505, 65, 10, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0*(-4)\/(-10)*(-25)\/20. Suppose l = -w + 95 - 91. Let n be (9\/w)\/((-39)\/(-52)). What is the greatest common factor of n and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 50136 and 41916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3768 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310822.\nAnswer: 2, 23, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15.2 - 7.9. Let x = g - 7. Let f = -1.01 - -14.01. Which is the third smallest value? (a) x (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1021761308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 114782, 112253, 109724, 107195, 104666, 102137?\n\"Answer: -2529*p + 117311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 59 - 69. Suppose -5*j = f*h - 439, 51*h - 48*h = -2*j + 631. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21 + 222112?\nAnswer: 222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of a**5\/20 - 5*a**4\/12 + 5*a**3\/6 + a**2 + 4*a - 82. Let z = -2 - -6. Give f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-64841)\/(-59) + -2 + -1. Suppose -y = -8*n + 1944. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the second derivative of 5*p + 1\/65*p**5 - 8\/39*p**3 + 1\/195*p**6 + 0 - 1\/26*p**4 - 4\/13*p**2. What is q in h(q) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 + 16. Suppose 2*h - a*h = -15. Suppose 4*p + 31 = 5*u, -9 = 4*u - h*u + 3*p. Solve -u*z = 3 + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 2079204.\nAnswer: 1\/2079204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -2\/9, -0.14, -0.4 in decreasing order.\nAnswer: -0.14, -2\/9, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 66 + 186 = -44*m - 52, -3*m = 2*s - 7*m - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*m + 2. Differentiate -3*l**2 + 4*l**2 + 1 + 6 + m with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-414 - -413 - (2 - (-1 + 1)) - 16) + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 338 and -0.1.\nAnswer: 337.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -5*w + 45, 2*w - 30 = -2*p - 2*w. Suppose -c = c - 16. Suppose -4*h - 16 = -c*h. Solve -p*t + 5 = -2*m, h*m + 11 = 4*t - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes after 12:40 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -436 - -5671\/13. What is the fourth smallest value in 3, s, 0.1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiijiiiiiiiii.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-1*(sqrt(84) + (sqrt(84) - (sqrt(84) - -5*-1*sqrt(84)))))\/((sqrt(108) - (-2*sqrt(108) - sqrt(108))*1)\/(sqrt(324) - (sqrt(324) + 2*sqrt(324)))).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1.37 or -0.719?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -61 - 61. Let x be (1*-1)\/(-1) + -81. Let j = x - s. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 14) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - -1)\/(1\/(-11)). Let x = -7 - y. Solve -4*a - 41 = -0*a - 5*o, -x*o = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -81 - (13 + -85 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*m + 11*m = -12331 + 13255 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 5*i - 49. Let m = 23 - i. Solve -4*k + 2*k = m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 7142423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = -5*g - 5, 0*h - 5*g - 10 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-7) + (-354)\/(-14). Suppose 5*n = -h, -n = 4*f - 0 + 1. Which is the nearest to 2\/13? (a) -2 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {l: 5, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 5*r**5 - 125*r**4 + 905*r**3 - 2015*r**2 + 1790*r - 560 = 0. What is r?\nAnswer: 1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -4, 2\/59, 30 in decreasing order.\nAnswer: 30, 2\/59, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 348011.\nAnswer: 348011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9 - -19. Suppose 0 = g + 3 - d. Suppose -5*r + 18 = -g. Solve -r*z - 4*v + 25 = 0, -4*v + 3*v + 5 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 192*u - 197*u + 4*j + 11 = 0, -5*u + 3 = -2*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17\/14 - -109\/84. Let u(f) be the third derivative of 0*f - 1\/480*f**6 + 1\/60*f**5 + 4*f**2 - 5\/96*f**4 + 0 + j*f**3. Solve u(b) = 0 for b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14524*-0.1.\nAnswer: 1452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -120200?\nAnswer: 120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 11412577159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 5*m - 4 = 0, -m = -0 - 4. What is the closest to 2\/13 in 0.1, -0.5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/((126\/10)\/(-7*6\/(-140)))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) -1 (b) 0.04 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 32361, 64723, 97085, 129447, 161809?\n\"Answer: 32362*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/5))**(4\/15)\/(n**(2\/5))**(17\/3)*(n**(-1)*n\/(n\/(n*n**(-3\/4))*n))\/((n**(-4\/9)*n)\/(n*n**(-2\/3)\/n*n)) assuming n is positive.\nAnswer: n**(-3719\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4*s**3 + 4*s**2 - 1. Let a(d) = 5*d**3 - 5*d**2 + d + 1. What is 3*a(u) + 4*f(u)?\nAnswer: -u**3 + u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -39463\/8 - -4933. Let s = 5 - 3. Which is the fourth biggest value? (a) x (b) -2\/5 (c) 1\/5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 472 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-1 - 1) + -65 + 63?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2059842 to the power of 1\/2, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is w in 5*w**3 + 4590*w**2 + 85795*w + 350610 = 0?\nAnswer: -899, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (13\/(13\/781279))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*w - 16040 + 16040.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 + 11*s + 7. Let t be q(12). Let w(k) = -2*k**2 - k - 5. Let z(j) = -2*j**2 - j - 6. Determine t*z(o) + 6*w(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u**3 + u**3 + 10*u**3 - 5*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2330, -2279, -2238, -2213, -2210, -2235?\n\"Answer: -t**3 + t**2 + 55*t - 2385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**3 + 980*t**2 + 1948*t + 972.\nAnswer: 4*(t + 1)**2*(t + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 152 divide 3591760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*(-2)\/18*-2. Let w(l) be the first derivative of -1 + 0*l**2 + t*l**3 + 0*l. Let q(x) = -3*x. What is q(w(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -50\/3 - -305\/21. Let b = j - -104\/49. Let p be 3 - (12\/(-3) - (0 + 4 + -11)). Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10454*h - 9337?\nAnswer: -10454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1782 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/519800 and -18\/4025?\nAnswer: 3638600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2045 - 1501 - 513 + 2*p + 13*p**2 + 956.\nAnswer: 13*p**2 + 2*p - 3103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -0.6. Let m be (-132)\/(-12) - (0 + 1). Let s be m\/(-3)*(-18)\/(-15). Put p, -1, s in ascending order.\nAnswer: s, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q - 2*q + 0*q)*(0*q + 0*q - 5*q + (-2*q + 3 - 3)*(-3 + 3 - 1) + q + 2 - 2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 203969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q*q\/q**(-3\/2)*(q**(2\/11)*q*q)\/q)\/(q**(-15)\/(((q\/(q*q**17))\/q*q)\/q)) assuming q is positive.\nAnswer: q**(81\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26, -51, -78, -107, -138, -171?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 42\/(-45))\/(530\/7950)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0427 times 54.2?\nAnswer: 2.31434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -5*v**2 + 37*v - 2. Let y be b(6). Let f be 0\/(1*(-4)\/4). Solve 3*m + 5*p - y = 0, -2*m - 6*p + 4*p + 20 = f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -21*a - 48. Let r(x) = -21*x - 49. Let y(n) = -8*c(n) + 7*r(n). What is y(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*j**4 + 4*j**3 + 5815*j**2 - 12005255*j wrt j.\nAnswer: 60*j**2 + 24*j + 11630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + 2. Let d = y + 6.1. Let g = 207\/4 + -51. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 171\/(-13) - 4\/(-26). Let b = d - -30. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j - 3. Let l(z) = 22 - 1 - 19 + z. What is 2*i(t) + 3*l(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-169)\/9 + 18\/(-81). Let l = -16 - h. Suppose 78 + 183 = l*q + c, 4*c = -5*q + 428. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 225 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 c when four letters picked without replacement from eeeeeeeceeceeeeeecc?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 170863\/40 - 4272. Let h(v) = 2*v**3 + 8*v**2 + 8*v + 9. Let w be h(7). Let l = -13793\/12 + w. Calculate the common denominator of j and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4333506229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 3*p = 276, -p + 12 = 2*p. Let q = h + -34. What is the units digit of 0\/4 + (q - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10320, 10856, 11740, 12966, 14528?\nAnswer: 16420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.032 - 2. Let h = k - 3.032. Let s = -0.35 + 0.05. Which is the second smallest value? (a) 1\/5 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 4 = 2*d, -2*n + 11 = -3*d + 8*d. Suppose 4*t - 13 = -d. Solve 5*i - t*h + 0*h = 3, -15 = -i - 3*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 34*n**5\/13 + 11462*n**4\/13 + 951138*n**3\/13 + 1050106*n**2\/13 + 8492*n = 0?\nAnswer: -193, -143, -1, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 291 + 13)*(2*i - i + 0*i)*(4 - 1 - 2).\nAnswer: 293*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 4*c = -11, -p - 5 = -4*p - 2*c. Let w = 31.7 - 36. Let m = w - -4. Sort p, m, 5 in decreasing order.\nAnswer: 5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o*o**(2\/5)*o)))\/(o\/(o\/(o\/(o**(2\/7)\/o))))*o*o\/(o*o\/(o\/(o**0*o)))*(o*o**(1\/6)\/o)\/o*(o\/(o**(1\/8)\/o)*o**(-5)\/o)**(-46) assuming o is positive.\nAnswer: o**(79633\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1458136274 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-13)\/169)\/(2\/94))\/(-25*53\/17225).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1622060 to the nearest 10000.\nAnswer: 1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/6*(-3 - 225)\/(-4). Calculate the highest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**4\/4 - 19*v**3 + 32*v**2 + 364*v + 444.\nAnswer: (v - 74)*(v - 6)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 655262 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 24 - (-21 + 27 - -4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2188077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -j - 2. Let t(c) = -c**3 - c**2 - c. Let p be t(j). Let y be (-4*p)\/((-4)\/48). Calculate the highest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 5481 (base 9) to base 3\nAnswer: 12112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p**4 - 221264*p**3 + 8097572*p**2 - 12733904*p - 5152560 = 0. Calculate p.\nAnswer: -1\/3, 2, 35, 18402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 - -34. Suppose -y + 0*d = 3*d - u, -4*y + 12 = 2*d. Suppose 8 = -4*h, -2*c = -4*c + 3*h. Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-11)\/1*(4*(-2)\/(1 + 1))\/(-8)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 415 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -620*l + 625*l + 17 = -b, 3*b + 4*l - 5*l = -51 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k + 2. Let g be z(0). Suppose -3 - g = -5*r, -4*r - 14 = 3*x. Is -6*(57\/x + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -4*x**3 - 9*x - 7. Suppose -3*y - 23 = 139. Let q = 96 + y. Let t be ((-1)\/2)\/(3\/q). Let g(i) = 2*i**3 + 5*i + 4. Give t*g(s) - 4*z(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (((-8)\/(-2))\/20)\/(386\/772). Find b such that -3\/5*b - 1\/5*b**2 - g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = -3*s - 10 + 12, -2*m = -4*s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-30)\/3*11*(-1)\/2. Let l = h - 53. Solve 0 = -2*r + 5*d + 16, -3*r + l = -3*d - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - 3.5. Suppose -6 = -3*r + 2*r. Suppose -7*j + 1 = -r*j. What is the nearest to j in -0.4, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10739 or -10744?\nAnswer: -10739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange h + 3*h**2 + 6 - 6 + (6 - 6 + 2*h)*(-3*h + 5*h + 2*h) to the form x*h**2 + u*h + g and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*x - 18*x - 5 = 0. Which is the fourth biggest value? (a) 1 (b) x (c) 6 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 2*j**2 + 2*j - 1. Let z be g(1). Suppose -10 = -z*q - 85. Let l = q - -77. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.29 + -0.071.\nAnswer: -0.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -83*h**2 - 3*h**3 - 210*h - 30*h**2 - h**3 + 212*h - 10*h**2 in the form d*h + a*h**3 + o*h**2 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-117351)\/(-3315) - (-12)\/(-5). Put -5, l, -4, 7 in ascending order.\nAnswer: -5, -4, 7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (7\/4 + -1)\/((-1)\/4). Let b(j) = -j**2 + 2*j + 13. Calculate b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-9)\/21*1\/((-33)\/9) and 21\/8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-149 - 25)*4\/6. Let x = -111 - p. Solve 0 = x*d + 32 - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 27*c**4\/7 - 1440*c**3\/7 - 3984*c**2\/7 - 384*c.\nAnswer: 3*c*(c - 56)*(3*c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 67292064 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 24 = 5*z - 5*y, -5*z = -y - 36. Solve -p + z = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3017 and 421568.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21.195366 + 0.195366. Let z = -3 - -2.8. Are z and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 444005 is divided by 90?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 372 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 31 + 12 = -5*w, 15*p + 3*w = -21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 989292529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -158387 (base 9) to base 16\nAnswer: -17ed8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*n**4 - 10795*n**3 - 186725*n**2 - 827265*n - 1093950 = 0. What is n?\nAnswer: -11, -3, 2210\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -s**4\/2 + 395*s**3\/2 - 25938*s**2 + 1123848*s + 1149984 = 0. Calculate s.\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 - -17d2?\nAnswer: 17d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4852?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 - -101. Let o = -0.358873235 - 71.641119965. Let c = o + x. What is c rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 69*g + 1067. Let j be v(46). Solve 14 = 5*n + j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -4*p**5 - 88*p**4 + 96*p**3 + 88*p**2 - 92*p = 0.\nAnswer: -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/16)\/(2\/(20\/15)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p + 2*w - 1065, 2*p - 5*w = 6*p + 819. What is p rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3247 - 6495\/2. What is the fourth biggest value in h, 1\/5, -3\/8, -9\/14, -2?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1092139 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, o: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/((-1*sqrt(56))\/sqrt(7)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w = w + 520. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -160325 and 221.\nAnswer: -35431825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1918.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -372*y**2 - 6320*y - 1. Determine g(-17).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 153 - 226. Let q = 5 - k. What are 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 2*t + m = 5, 2*m = 5*t + 7*m. Let c = 3 - t. List the prime factors of (16\/6)\/(c\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4920 and 61090.\nAnswer: 733080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of z**8\/120 - z**7\/210 + z**3 - 6*z. Let v(s) be the second derivative of y(s). Let v(j) = 0. Calculate j.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -562\/9 + 62. Let j = 84 + -83. Do y and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1205*k - 3444*k + 1035*k + 1215*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/630 and 99\/98?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -12. Suppose -73 = -3*w - f*x - 25, -2*x = -5*w + 94. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 590210158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 2*x**3 + 2*x + 3*x - 2*x - 2 in the form t + y*x**2 + d*x**3 + k*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 345 + -345. Solve s = -2*c - 9, -2*c = -a*c - 2*s - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 - 3*g**2 + 4*g + 1. Let i be 1\/2*(-8)\/1. Let f be m(i). Let z = f + 3. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 73c - -2?\nAnswer: 73e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1879.995907 + -1880. Round v to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(39)\/(sqrt(3)*1) - sqrt(1573)*-3.\nAnswer: 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*j - 20781036408 + 20781036408.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = 2*o - 12, -44*o + 5*a + 206 = 40*o - 57*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**2\/2 + 528819*m\/2 + 1057662.\nAnswer: -3*(m - 176277)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1251603631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -2*i**2 - 10*i. Let l be q(-5). Suppose -10*r - 42 + 12 = l. What is the remainder when 64 is divided by ((-5)\/2 - r) + (-65)\/(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 16*i**2. Let v(f) = 69675*f. Give w(v(l)).\nAnswer: 77673690000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - u = -25. Let m(c) = c**3 - 6*c**2 - c + 3. What is the remainder when m(7) is divided by (u - (-2 - -1)) + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (3 - -59) + (-69 - -85) + -10 + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2927 - -2926.8. Which is the nearest to p? (a) -2\/13 (b) 3 (c) 0.2 (d) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 2*x = 0. Let r = 189\/2 + -20225\/214. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the third derivative of 0 + 1\/8*q**4 + 0*q**6 + 6*q**2 + 0*q**3 + 0*q - 1\/105*q**7 + 0*q**5. Find the second derivative of o(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**2 - 6704224*n - 2809163715136.\nAnswer: -4*(n + 838028)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*r - 2*r. Let i(w) = -w**3 - 3*w**2 - w + 1. Let s be i(r). Suppose 0 = 2*z - s*z. Let p(l) = -l - 2. Determine p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (162 - 50 - 31)*(4*x**2 - 4*x**2 + 3*x**2)*(-2*x**2 + 0*x**2 + 0*x**2) as a + q*x**3 + s*x + b*x**4 + f*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 61 + -5236186.\nAnswer: -5236125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 70466.42 litres to millilitres.\nAnswer: 70466420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 3, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 + 26*u**2 + 194*u + 1923. Give z(-21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 440 = 17*n - 12*n. Suppose -2*b - 76 = 5*h, -5*h - 2*b - n = -6*b. Let v be (57\/(-38))\/((-30)\/h). Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 391.07 and 0.11?\nAnswer: 43.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -425, -903, -1431, -2009, -2637, -3315?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -16*s + 27. Factor 3*i + 55*i**2 - 177*i - 5*i**s - i + 125.\nAnswer: -5*(i - 5)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8872\/9 + 987. What is the common denominator of r and 3\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32)\/24 - 1*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 2*t**2 - 8*t + 18. Let s be g(4). Let k = 29 - s. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 + 17 = -3*o. Let m be 4\/(-10) - 2\/(-5). Suppose -l - 15 + o = m. What is the greatest common factor of 48 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 4*p = 5. Suppose -p*w + 0*w + 90 = 0. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5 - -0.2. Sort d, -1, 14 in descending order.\nAnswer: 14, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 246468 and 24?\nAnswer: 492936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together 0 and 16.7871062.\nAnswer: 16.7871062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 59 and 0.2.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1485797 and 9086?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -2*b - 5*b**2 + b**2 + 5*b**2 + ((b + 0*b + 0*b)*(3 - 2 - 2) + 22*b - 5*b - 11*b)*(5 - 9*b - 5) in the form j*b**2 + q + u*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4*s + 48. Calculate the least common multiple of f(9) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 3322*t - 3322*t + 6640*t + 38 = m, -2*t = -10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3.5 - -0.5. Let q = -0.103 - -33.103. Let h = q - 32.8. Put 3, h, -4, d in decreasing order.\nAnswer: 3, h, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2920155 divided by 14385\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b - 13. Let o be h(-9). Let k(z) = -2*z**3 + 3*z**2 - 6*z + 6. Let c be k(o). Let l = 348 - c. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -547*c**4 - 299*c**3 + 155*c**2 - 2*c - 1124?\nAnswer: -13128*c - 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 9 + 7)*(w**2 + 2*w**2 - 4*w**2).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110111 - -11101?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -34 - 71. Suppose -4*b + 0*b = 4. Is 4 a factor of b\/5 - i\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 10*y**5 + 156*y**4 + 716*y**3 + 808*y**2 + 42*y - 196 = 0.\nAnswer: -7, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/11)\/f*f**(-2\/9)*f)\/((f*f**(-3)\/f)\/(f\/((f*f**(-3))\/f))) assuming f is positive.\nAnswer: f**(653\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1591632 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w. Let o(q) be the second derivative of -q**4\/12 - 44*q**2 + 196*q + 25. Calculate h(o(n)).\nAnswer: -n**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-27)\/(-180))\/(-2*(-2)\/(-16))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 14*k**5 - 1035*k**4 + 7248*k**3 + 6319*k**2 - 77202*k - 5544 = 0.\nAnswer: -3, -1\/14, 4, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-14 - -9)\/(-1 - 4\/(-5)). Let x = -11 + t. Let k(u) = -u**3 + 15*u**2 - 15*u + 22. Calculate the remainder when k(x) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, -9\/4, 7 in decreasing order.\nAnswer: 7, -1\/6, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ba when two letters picked without replacement from dba?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -86 (base 10) to base 9.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -259 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 225076*x**4 + 353819 wrt x.\nAnswer: 900304*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -13*h**2*v**3 - 122264*h**2*v**2 + 27*v**3 + 60*v**2 - 4*v + 17 wrt h.\nAnswer: -26*h*v**3 - 244528*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1024 (base 5) to base 11\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -9*q**5 - 7*q**4 + 2*q**2 - q. Let y(o) = -2*o**5 - o**4. Let i(n) = 2*g(n) - 10*y(n). Factor i(x).\nAnswer: 2*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2*(5 - (-5 + 306\/30)). Factor -w*f**3 + 3\/5*f**2 + 3\/5*f - 2\/5.\nAnswer: -(f - 2)*(f + 1)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.13 - 6.13. Let o = -6.0014 - r. Round o to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 11*t + 18*t - 30*t + 8*t**3 + 2. Calculate the remainder when 35 is divided by i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4301 and 1309?\nAnswer: 30107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*d**2 + 63 + 28*d**2 - 63 - 2*d.\nAnswer: 17*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -22576 by -2.\nAnswer: 11288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -50.3 + 51. Suppose -40*o - 35*o = 300. Which is the nearest to q? (a) 4\/7 (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of -u**4\/12 + 2*u**3 + 76*u**2. Determine z(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*f + 194 + 260 - 162 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12228 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(98) + -5)*1 - (3 + ((sqrt(324)\/sqrt(3))\/sqrt(6))**2)) + 3.\nAnswer: -48 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/255)\/(286 + -285).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 162, 328, 494, 660, 826?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5057579*b*p**2 + 1933350*p**2 wrt b?\nAnswer: -5057579*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 4061579 and -0.1.\nAnswer: -406157.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1684.3662 months to millennia.\nAnswer: 0.14036385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -6 (b) 5\/4 (c) -430 (d) -180\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 - 7*c**2 - 3*c - 15. Suppose 44 = -5*u - 3*d, -5*d - 50 = u + 4*u. Let y be s(u). Solve -b - 4*r = -8, -y + 3 = -r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 499 + -440.2. Let n = g + -39. What is n rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -2*p**3\/7 - 666216*p**2\/7 - 55481136042*p\/7 - 110959607236\/7 = 0.\nAnswer: -166553, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 6:52 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 + 3*z - 3. Give v(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gb when two letters picked without replacement from gbgggbgbbbbggggbbbbg?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p - 5. Let c be ((-8)\/(-10))\/((-10)\/(-375)). Let k be c\/(-4)*(-16)\/12. Let q(n) = n + 2. Let a be 5 + 2 + (-2 - 1). Calculate a*d(j) + k*q(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -125, 1, -6, 4 in increasing order.\nAnswer: -125, -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5544009 and 3205?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7105631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 291 = r + 23, -3*c + 489 = 3*r. Let s = 1115\/7 - c. Determine j, given that -1\/7*j**2 - s + 3\/7*j = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -108469\/43 - -2523. Let w = 782\/387 - g. Is w at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-9\/5)\/(l**3\/l))**(1\/6)\/(l**3\/(l**(4\/5)\/l*l))**(5\/17) assuming l is positive.\nAnswer: l**(-653\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*h - 25 = 5. Let r(t) be the third derivative of -7*t**h + 4\/3*t**3 + 0 + 7\/24*t**4 + 0*t. What is the first derivative of r(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lsslssllll. Give prob of sequence ll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 104147322 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 5*l**2 - 27*l + 77. What is d(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*v**4 + 2232*v**3 - 2*v**2 + 60737 wrt v.\nAnswer: -120*v + 13392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 717 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 the hundreds digit of 437480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20, -45, -70, -95, -120?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 16*r**3 - 9*r**2 + r + 23. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -286193\/240 - -3580\/3. Let q be ((-1)\/(-6))\/((1760\/(-99))\/4). Let h = q - y. Find the common denominator of -65\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppppptpppvpvppv. What is prob of picking 2 p and 1 v?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/9, 1154.45, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 17808175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of -q**6\/120 - q**5\/30 - q**3\/6 + 2*q**2. Let u = -8 - -6. Calculate r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.78237 - 76.29563. Let p = q + 77. Let m = -0.077999725 - p. What is m rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + -1 - -1)\/(-1). Let m be p + (-2 - (-8 + 3)). Suppose 101 = m*x + 31. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4628*0.61.\nAnswer: -0.282308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 2214.098 microseconds to seconds.\nAnswer: 0.002214098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -5*z + 162. Does 5 divide l(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, y: 3, e: 1, h: 3, x: 5, r: 1}. What is prob of picking 1 t and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(-3)\/w*w*w**(-7))\/(w\/w**(-2\/9)*w*w**(-8)))**(5\/6))**1 assuming w is positive.\nAnswer: w**(-145\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((0\/(-8))\/12)\/((-10)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 38014051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10021 + -20?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-585)\/(-81)*(-234)\/(-507).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 22 = g, -2*g - 21 = -11*d + 6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*z - 2*o = -25*z - 2176, 2*z - 2182 = -4*o. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 + 2 - 3)*(0*a - a - a) - 17*a - a - 17*a)*(-2*a + 1123 + 1100 - 2387) to the form i + m*a + t*a**2 and give m.\nAnswer: 6068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 AM and 12:54 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 65 - -2. Calculate the highest common factor of l and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 3 = 5. Suppose 0*t + 4*t + 20 = -3*z, 3*t + 15 = 3*z. Which is the closest to z? (a) -1 (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1201210401 (base 5) to base 8\nAnswer: 12410560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.024, -0.7, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 1910 by -5.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -2*p**2 + 40*p - 13. Let b be z(9). Suppose 2*q = -0*q + 16. Solve q = k - f, -3*k + 2*f + b = 4*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -21*4\/24*2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2147\/3 - 8621\/12. Let o = 137923\/92820 - -3\/2380. Calculate the common denominator of s and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/11, 28\/9, -0.2?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 7) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + l = -673, 0 = -0*t + t - 5*l - 229. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 540 a factor of 140060880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2\/7*m**2 + 6\/7 - 8\/7*m = 0. What is m?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:09 PM and 5:53 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -2452?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3087109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes before 5:35 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 162400410.\nAnswer: -1\/54133470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*(c\/(c\/(c*c\/(((c*c**(1\/82))\/c)\/c)*c)))\/c*c))\/c**(7\/5) assuming c is positive.\nAnswer: c**(-2209\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1604 + 601 = -245*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 7156*k - 21. Give b(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v + v - 328. Let a = v + 84. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1e49 (base 16) in base 3?\nAnswer: -101122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of -u**3\/3 + 397*u. Let w(h) = 25*h**2. Determine w(n(s)).\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**4 - 14516*l**3 - 43600*l**2 + 58112*l.\nAnswer: 4*l*(l - 3632)*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in 2, 1\/5, 0.425, -12\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 - 18*x. Determine d(12).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-144)\/60*(-15)\/36*-18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 40612667437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 56*f - 64318 + 44*f - 4*f - 2*f**4 + 64322 to the form q*f + h + d*f**3 + k*f**2 + u*f**4 and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 - 40 + 20*b + 39 + 53 + 65.\nAnswer: 20*b + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -6 + 37911?\nAnswer: 37906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -94604381*p + 119163269 with respect to p.\nAnswer: -94604381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of 7 + 1\/2*t**3 + 0*t**2 + 0*t. Suppose q(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0, -3, -22, -262, 2 in descending order.\nAnswer: 2, 1, 0, -3, -22, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 18*s**2 + 7*s**2 - 5*s**2 + (-8*s - 2*s - s)*(-2 + 2 + s).\nAnswer: 9*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 12 = -8*t. Suppose k + q = -3*q - 17, 2*k + 14 = -t*q. Put -3, 3, 2, k in decreasing order.\nAnswer: 3, 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103514780 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*z = -48*z + 497 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1429457 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 776 divided by -4\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*r = -1, -4*r = -d - 3*d + 4. Solve -16 = u + 3*p, -d*p - 19 = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 3*v**2. Let x(z) = -308*z**2 - 285*z**2 - 326*z**2 + 867*z**2. What is a(x(g))?\nAnswer: 8112*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2016) - 3*sqrt(2016))\/(sqrt(56)\/sqrt(8)*5).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 54 and 10617750.\nAnswer: 10617750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 - 4*p**2 - 8*p + 7. Suppose -6*g + g - 20 = 0. Let u(w) = w**2 + w - 1. Let z(v) = g*u(v) - q(v). Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 43, 108, 235, 430, 699, 1048, 1483?\n\"Answer: c**3 + 25*c**2 - 17*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 60420\/1254 - (684\/132 + -5)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + -0.0496.\nAnswer: -19.0496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxdzbkbkzbdb. Give prob of picking 1 b, 1 d, and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (89 - 93) + (-3 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 24\/9502663 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1274710 and 11970?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47951 or 47898?\nAnswer: 47898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 - 80*n**2 + 237*n - 1091. Determine j(-83).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 4*v - 2 = 0, 0 = -f - 0*v - v + 1. Solve 3 = -i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + 19*q - 40. Calculate i(-23).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -900, -1816, -2732?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20 - 78. Let g = p - -275. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -56? (a) 2 (b) 1658 (c) 2\/7 (d) 3 (e) 1\/4 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 426320389.\nAnswer: 11, 3523309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1914155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 2*f**3\/7 + 120*f**2\/7 + 2400*f\/7 + 16000\/7 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {y: 5, n: 1, t: 1, h: 1, s: 3, i: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000292918855 to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 86209734 divided by -113?\nAnswer: -762918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/2*1300\/(-455)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -5*m + 1. Let s(a) = -a**2 + 5*a - 9. Suppose -14 = -i - 12. Let o be s(i). Calculate v(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1638 divided by 78.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 33975, 67895, 101815, 135735, 169655, 203575?\n\"Answer: 33920*m + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - 0) + -5 + -2 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -45 + 68. Suppose 0 = -2*c - 0*c + 16. Calculate the remainder when g is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (155\/5)\/(0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -72593\/14 - -5181. Calculate the common denominator of -121\/774 and u.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444573307 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:05 PM and 3:21 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-82)\/(-6) - 28\/(-84). Suppose 0 = 3*b - 0*v - 2*v, -2*b - 3*v = 0. Let q(h) = -h + 28. Let o be q(b). What is the highest common divisor of o and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2*n - 77, -5*n = -3*g + 4*g - 91. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16\/4354329 or 1?\nAnswer: -16\/4354329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8.234866mm in nanometers?\nAnswer: 8234866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3*t**5 - 126*t**4 - 5577*t**3 - 20844*t**2 - 25476*t - 10080 = 0. What is t?\nAnswer: -24, -2, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.008064 rounded to 4 dps?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2199 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4 + (sqrt(187)*-1)\/sqrt(11)*4) - (-3 + (sqrt(1377) - (sqrt(1377) - (1 + sqrt(1377)))**2) - (sqrt(1377) + 6*sqrt(1377)*2)).\nAnswer: -4 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -0.3, 2\/7, -0.02, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 - q. Let f(j) = j**3 - 18*j**2 + 14*j + 49. Let h be f(17). Let t(k) = 2*k**2 + k. What is h*t(x) - 2*i(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 5*q**2 - 1799893260*q + 161980787369671380 = 0. What is q?\nAnswer: 179989326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 23, 237, 593, 1091, 1731, 2513?\n\"Answer: 71*s**2 + s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 20*c*q*x**2 - c*x**2 + 4*q*x + 3*x**2 wrt c?\nAnswer: 20*q*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 + 5*p**2 + 13*p - 72. Let y be f(4). Let r be (-2)\/6 + 2\/2. Which is the closest to 2? (a) r (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -0.023?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -a (base 13) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 12*s**2 + 10*s - 268504. Determine l(-150).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/13028 and -83\/4.\nAnswer: 13028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 6:46 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 216.4 - 173. Let c = 43.4606 - t. What is c rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 37*n - 23104 - 9041 + 2138. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -129049114, -129049120, -129049136, -129049168, -129049222?\nAnswer: -129049304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/9*-3 + 1. Suppose 3*p + 0 = 9. Let f be (-4)\/5*(z + p). Put 1, f, -3 in ascending order.\nAnswer: f, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -37 - -13. Let w = o - -23.6. Which is the closest to 3? (a) 3 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*k, -2*k = 3*r - 5*k - 57. Let m = 8 + r. Solve 4*q + 4*y + m = 0, 5*q + 14 + 17 = -2*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c**2\/13 - 44843228*c\/13 - 251364387182498\/13 = 0 for c.\nAnswer: -11210807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/3*558\/(-8)*511\/(-3066).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -5 (c) 911 (d) 5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -1, 2, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -7248, 28, 1 in decreasing order.\nAnswer: 28, 5, 1, -7248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -8*z + 4*z - 5*q, 0 = 3*z - 3*q - 27. Suppose -2*d - 8*w - 6 = -11*w, 4*w - 12 = z*d. Put 3, d, -2, 6 in descending order.\nAnswer: 6, 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 426555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 2, 2*q - 5*d = 4*q - 9. Suppose -q*a - 14 = -4*o - 7*a, -2*o = 4*a - 10. Which is bigger: -2\/65 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34 + 32. Let q(y) = -6*y**2 - 2*y - 2. Let g(k) = k**2 - k - 1. Determine d*q(o) + 4*g(o).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 16285 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*c**3)*c)\/c*c*c*c**(-3))**(-38)*(c\/(c*c*c**(2\/9)*c))\/(c\/c**(2\/15))*c*c**6*c\/((c\/(c**(-1\/11)\/c))\/c) assuming c is positive.\nAnswer: c**(77131\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4318 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 0.034483687.\nAnswer: -0.172418435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q**2 - 364 + q**2 - 3*q**2.\nAnswer: -2*q**2 - 364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-50)*(-6)\/12*-10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 10) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15673, -31341, -47009, -62677?\nAnswer: -78345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 11 - 3 = 0. Let b = 3.8 - 1.6. Let w = 2.1 - b. Put 4, j, w in increasing order.\nAnswer: w, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -3 (b) 1\/173 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 58810 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28.89 + 0.11. Let l = -17 + i. Let s = -12.0116 + l. Round s to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 91.4 + -91.1. Which is the second smallest value? (a) -2\/13 (b) j (c) 3\/131 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 4:51 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6015 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of 3*c**4\/4 - 66*c - 3. Let z(a) = -108*a**2. What is z(k(j))?\nAnswer: -8748*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q - 5. Let p be l(-5). Suppose m - 3*m = p. Solve m = 4*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 869009 - 2878539 = -7147*l + 26657*l for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.09, 0.02, -1\/3, -1\/2, -123 in decreasing order.\nAnswer: 0.02, -0.09, -1\/3, -1\/2, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - 11*k**2 + 44*k + 1. Let s be u(4). Let m be 18\/(-648)*(-1 + s\/57). Are 1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -33\/13, -57, 366, -2?\nAnswer: -33\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -23608 by 8.\nAnswer: -2951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 128819.6028us in weeks?\nAnswer: 0.000000212995375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - (-26)\/16)\/((-183)\/4392). Suppose -3*a - 3 = 6. Let z be (-2)\/(-3) + (-16)\/a. Calculate the greatest common divisor of z and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 - 16. Let p be (-2)\/(-10) + (-351)\/(-45). Sort -4, p, b in decreasing order.\nAnswer: p, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = j + j - 2, 5*t + 5*j + 10 = 0. Suppose 2*c = -2*g + c + 15, -5*c = g + 15. Suppose -s + g*s = 6*s. Solve t*l - 2*l + 4 = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -44*1084309\nAnswer: -47709596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -132 or -920\/7?\nAnswer: -920\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2663.275 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-3*(sqrt(108) - (sqrt(108) + (sqrt(108) - sqrt(108)*1)*3)) - ((-1 + sqrt(108))*1 + -2*sqrt(108) + -5)))**2.\nAnswer: 1152*sqrt(3) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 159442 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + m**2 + 4*m - 4. Suppose -176*z + 177*z = -4*q - 1, -5*z - 26 = -q. What is h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes before 1:09 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 17*r**3 - r**2 + 3*r + 1. Let f be o(3). List the prime factors of f\/16 - 5\/(-20).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bda when three letters picked without replacement from bbzzzbbzzqdbzzzbbabz?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*g**3 - 44*g**4 + 4*g - g**2 - 6*g + 42*g**4 to the form d*g**2 + k*g + x*g**4 + s + l*g**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhhhvh. What is prob of sequence hv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 328231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 5*s + 345, 6*s + 95 = l + 11*s. Does 45 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -47 or 1.64404?\nAnswer: 1.64404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 4*y - 50. Suppose 3*w = 20 + 16. Suppose -42 = -3*u - w. What is the lowest common multiple of y and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k + 28 = 130. Let m be (-46 + 0)*(-4)\/1. Suppose m + 11 = 3*i. What is the remainder when i is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 336*j - 281075 - 335*j + 281075.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -473\/1169 - 4\/167. Let f = 2 + 7. Suppose -o + 0 - f = -3*p, o = 4*p - 12. What is the third biggest value in p, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 9*u - 12. What is r(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1695)\/105*11\/(3124\/(-497))?\nAnswer: 113\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 79*f**2 + 122*f + 3259. Calculate k(-80).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6185 - -6374. What is the lowest common multiple of 18 and n?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - -4)*(-928)\/174. Is -31 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/4)*d*d)**49\/(d\/(d**(2\/15)*d)*d**(-5\/7)\/d) assuming d is positive.\nAnswer: d**(47081\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 1, 4*b + a = 6*b - 9. Suppose 0 = -2*u + 2*x + 4, 0 = -5*u - 4*x - 2 + 3. Sort b, u, -3.\nAnswer: -3, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1153532 - 1?\nAnswer: 1153531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 + 11*b - 5. Let r be x(10). Let c(s) = -r*s**3 + 3*s - 1 + 5*s**2 + 3*s**3 + 3*s**3. Calculate c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -22444645?\nAnswer: -22444653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -1.5424787 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 32*q**2 - 2*q + 9. Let z(v) = -11*v**2 + v - 1. Let p(a) = n(a) + 3*z(a). What is p(-9)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -2*k + 8. Suppose 2*z = f + 12, -2*f = -0*z + 2*z. Let h be b(z). Suppose 2*a - 85 - 139 = h. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + n = -2, -2*n = 3*n - 10. Let p be 2\/(-2) + h - 2. Let i = -25920 + 25916. What is the closest to p in 3, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/341 and ((-1387)\/22630)\/((-12)\/(-45)).\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-60)\/6 - 9317\/(-968)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.04924 and -0.626?\nAnswer: -0.03082424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - 3*u**2 + 2. Let c be g(0). Solve -c*v + 3*v - 4 = 2*k, 2*v + 3*k - 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 divided by 17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 190505238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + h - 106, 4*w - 3*h - h = 104. Suppose -q + w + 37 = 5*i, -4*q + 116 = -4*i. Is q > 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(13\/4)\/(((((a*(a*a**(10\/9)\/a)\/a)\/a)\/a)\/a)\/a)*a**(5\/8)\/((a*a**(-1\/3)*a)\/a) assuming a is positive.\nAnswer: a**(439\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6165288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2 - 148*g - 150.\nAnswer: 2*(g - 75)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q + 2. What is the remainder when 63 is divided by l(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.047216545, 2, 1\/6, -3 in increasing order.\nAnswer: -3, -0.047216545, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - 0\/(-4) - 182. Let s be 1\/2*2*-30. What are the prime factors of j\/s - 4\/30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/5)\/((-6)\/(-15)). Let i = -15.9 + 16. Which is the closest to i? (a) 0.1 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -6*r**3 + 43*r**2 + 63*r - 182. Determine c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 - 21. Let v(f) = -1 + 0*f + 0*f + 0*f + w*f. Let r(h) = -2*h + 1. What is -2*r(z) - 3*v(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 6*y**3 + 15*y - 1. Let x(q) = 18*q**3 + 43*q - 3. Give 17*f(w) - 6*x(w).\nAnswer: -6*w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5631 + 5653. Calculate the remainder when 2014 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2909858?\nAnswer: 2, 7, 207847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -15280*b**2 - 8*b. Let z(q) = 15259*q**2 + 10*q. Determine 5*d(u) + 4*z(u).\nAnswer: -15364*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 2:53 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13135519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 31 = -5*z, 3*j - 4*z - 32 = -2*j. Solve -12 = -3*c, -4*b = -3*c + j*c + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 5*v + 2836 = 562, 3*y - v = 2274. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 59, 78, -2, 0, 5, -20 in increasing order.\nAnswer: -20, -2, 0, 5, 59, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + -48848506?\nAnswer: -48848506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -22150 * 63\nAnswer: -1395450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1632 = 236*c - 4*i, -4*c + 418*i - 421*i = -43 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 185\/6 and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 5 = 2. Let c be (-9)\/t*1\/3. Let n(h) = -3 + 6 - 3*h - c. Let u(i) = 2*i**2. Determine n(u(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 - r + 7. Let s be m(0). Let c = s + 33. Suppose 0 = 15*a - 5*a - c. Calculate the greatest common divisor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of v**7\/2520 + v**5\/60 - v**2. Let b(c) be the third derivative of m(c). Let l(j) = -10*j + 3*j + 2*j + 3*j. Give l(b(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve r = 2*t + 7, 45*t - 47*t = 20 - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.6 + -2. What is the closest to -4\/3 in 3, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18.5264 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6342 + -6338. Which is the third smallest value? (a) -8.9 (b) -4 (c) -2\/13 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -532\/3, 5\/2, -1\/10, 0.1 in increasing order.\nAnswer: -532\/3, -1\/10, 0.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 - -28. Let k = -17.2075 - -0.0975. Let y = k + r. Round y to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 + 8*k**2 - 6*k - 1. Let l be q(7). Suppose 0 = -2*p - 5*b + 6, l*p + 2*b - 9 = 3*p. Does 8 divide 21*p\/3 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-14\/11)*r*r)\/r**3 assuming r is positive.\nAnswer: r**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7404.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4 + (-92)\/(-16) + -2. Let y = -0.7 + -0.3. Let w = 134.5 - 138.5. What is the nearest to a in y, w, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 30 = -3*v, -2*n + 24 = 3*v - 3*n. Let d(y) = 2*y**3 - 4*y**2 - 6*y - 32. List the prime factors of d(v).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -32273044.\nAnswer: -3\/32273044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u. Determine y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 258e0 + -2?\nAnswer: 258dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -415940, -831890, -1247840, -1663790, -2079740, -2495690?\n\"Answer: -415950*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (50\/(-20))\/((-10)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 6*i - 1. Let j(f) be the second derivative of 0 + 1\/2*f**2 - 7\/6*f**3 + 24*f. Calculate -4*a(k) - 3*j(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6 divided by 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1318, -2636, -3954, -5272, -6590, -7908?\n\"Answer: -1318*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 78*w - 6083. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4\/13 - -15\/91. Let i = 167 - 170. Let j = 2.5 + -2. What is the second smallest value in j, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -472049, -944099, -1416149, -1888199?\n\"Answer: -472050*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -347 (base 8) to base 4\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -194 (base 11) in base 6?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + 211222220220?\nAnswer: 211222220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 12 = -a. Let r be (357\/28)\/((-1)\/a). What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/((-392)\/154)*2628\/17666?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 6*n**2 - 2*n + 12. What is the remainder when t(-4) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 262741 by -4.\nAnswer: -262741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 861 - 861.8. Which is greater: u or 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 3 - 138382*s**2 + 3 - 138375*s**2 + 276767*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -5*l - 35, -b + 2 = -2*b + 4*l. Is ((-62)\/b)\/((-3)\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 3458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 5*y = -31, -5 = -l + 42*y - 43*y for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -4*j**3 - j**2 + 5*j + 5. Let q(o) = -7*o**3 - 3*o**2 + 11*o + 10. Let v(c) = -3*q(c) + 5*x(c). What is the least common multiple of v(-5) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -859 + 913. Let a = -17 - -31. What is the remainder when q is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 2879 = -531. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u + 9. Let b(x) = -1. Let r(l) = -6*b(l) - c(l). Let s be r(5). What is the tens digit of s\/12*(-33)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/20)\/((-24)\/60)*50\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-48)\/(-300) + (-154)\/(-80)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 + -7. Let v = 2.4 + -2. Let z = -0.2 - -0.2. Which is the closest to 1? (a) z (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*v**5 + 238*v**4 - 14183*v**3 - 6576221*v**2 + 11*v?\nAnswer: 360*v**2 + 5712*v - 85098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*b**3*l**3*y - 10*b**3 + 10*b*l**3 - 45*b - 44986*l**3*y with respect to y.\nAnswer: 2*b**3*l**3 - 44986*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 0*p + 2*r = -27576, 3*p = -5*r + 16527. List the prime factors of p.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/2 - (3 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*q + 233*q + 300*q = 6*q + 1106. Determine c so that -28\/5 + 29\/5*c - 1\/5*c**q = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113 = 63*u + 34 + 42. Let w(q) = q**3 - 3*q**2 - 7*q. Calculate w(u).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(90)*6 - (sqrt(90)*-3 - sqrt(90)))\/(((sqrt(75) - sqrt(75)*-2)\/sqrt(5))\/sqrt(1200)).\nAnswer: 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from dtgpa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1664))\/sqrt(2) + (-2*sqrt(1053) + -2 - sqrt(1053))**2 + 0.\nAnswer: 116*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oooooooooooaooo. What is prob of sequence ao?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 152.59961 to 0 decimal places.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -3*g + 12. What is the remainder when 8 is divided by t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 313d6b - 2?\nAnswer: 313d69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2597 + 727 = 319*p - 3119 + 382 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11 and 334824281.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 1:51 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11599929 and 2679?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 611 is divided by 225?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, -2\/43, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8684099 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1 + 0.025\nAnswer: -0.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -153*o - 609 with respect to o.\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 26*y**3 - y**2 + 4*y + 2. Let r(l) = 51*l**3 - 3*l**2 + 9*l + 5. Give -5*d(x) + 2*r(x).\nAnswer: -28*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, 8\/7, 4, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -24377478 divided by -1?\nAnswer: 24377478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/(1071\/(-24))*6. Let h = 3\/119 + q. Let x = -13 - -13.3. Which is the nearest to 0? (a) 0 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 4 (b) -4 (c) 114 (d) 0.1 (e) -5 (f) 5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 7.5755085 hours?\nAnswer: 0.0450923125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**2 - 10*c + 11. Let v be w(10). Let y = 15 - v. Is 1*(2 + y - -1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q + 16. Let o be j(-14). What is the third derivative of 8*a**o - 5*a**5 - 4*a**2 - 2*a**2 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3444 (base 7) to base 6.\nAnswer: -5453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17.55 - -3798.55. Let g = b - 3785.406. Let n = g - -4.4. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-60)\/9*96\/(-20). Solve -5*u = 3*w + 3, w - 4*u - n = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 34180 + 2473?\nAnswer: 36613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence prnn when four letters picked without replacement from kknprkhhhknppkhhk?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 - 76 = 3*h - 0*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/16 and -27\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-595)\/(-14) + -42 + -1 + 30\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 11, 26, 2, 23016 in ascending order.\nAnswer: -4, 2, 11, 26, 23016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -t = -5, 3*l - 678*t + 718*t = 200 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -69 times 3\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 18600213 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -232\/207 or -2?\nAnswer: -232\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4*a - 20 = t, a - 3 = 0. Suppose -5*g + 1 = -t. Let b be -1*(-2 + 4 - g). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4 - 0. Solve 3 = o*i - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 3, 16, 41, 78?\n\"Answer: 6*v**2 - 5*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 130 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 100230 (base 4) in base 7?\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 3 = -3*v. Let q = -2 - v. Sort -4, -3, q in increasing order.\nAnswer: q, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*s**3 - s - 33*s**3 + 77*s**3 - 2852 - 21*s**3.\nAnswer: -s**3 - s - 2852","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 20421104007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 1909521830 to the nearest 1000000.\nAnswer: 1910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -4*w - 324, 25*w + r - 460 + 2508 = 0. Which is greater: -407\/5 or w?\nAnswer: -407\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k**4 - k**4 - 3*k**3 + 2*k**3 + k**2 + 2 + 4*k**3 as c*k + l*k**2 + q + g*k**3 + w*k**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(-2)\/4*23\/138.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*t - 84*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2. Let a = -14 + 14. Suppose a = i + 2 - 9. Let t(b) = 4*b**2 + 4*b**2 - i*b**2. Determine f(t(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 4*w - 2. Let o(f) = -12*f + 7. Suppose 0 = 17*q + 11*q + 56. Calculate q*o(x) - 7*z(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 828361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 172015405691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnv when three letters picked without replacement from {v: 4, a: 1, b: 3, n: 2, w: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 102201002111211 (base 3) to base 4.\nAnswer: 113232331123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -121 + 215*u**4 + 329*u**3 - 26 - 329*u**3 wrt u.\nAnswer: 860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3521 (base 6) to base 2\nAnswer: 1101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 r, and 2 t when four letters picked without replacement from {b: 1, t: 2, n: 2, m: 1, r: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 114177 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -21793895.4 + 0.14366\nAnswer: -21793895.25634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 140 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 38c8ac (base 13) to base 7.\nAnswer: 14434553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - -9. Suppose -50 = -5*h - 2*y, -4*y = -h - h - 4. Suppose -4*x - 36 = -h*x. Calculate the remainder when p is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -181718, -181662, -181608, -181556, -181506, -181458?\n\"Answer: -u**2 + 59*u - 181776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 1411 - 2273 = 0. Find the common denominator of m\/384 + 4\/36*3 and 99\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 214761 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - p + 29 = 3*j, -2*p = 2*j - 10. Suppose -260 = -5*l + 5*s, -5*l + 244 = s + 8. Calculate the lowest common multiple of j and 1*3*l\/9.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5649468 and 1716?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -6*u**2 + u - 1. Let l(w) = -5*w**2 + 2*w - 2. Let x(p) = -3*c(p) + 2*l(p). Let j(f) = -f**2 - 2*f + 1. Let a be j(-3). Is x(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*f*o**3*z + 5*f*o*z**3 + f*o*z + 2*o**3 - 4*o*z - 19*z**3 wrt f.\nAnswer: -3*o**3*z + 5*o*z**3 + o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -391?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1330 + 11?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38169*n**2 - 394*n + 394*n.\nAnswer: 38169*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 4*q + 1667 - q - 6*q**2 - 1713 as u*q + y*q**2 + f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -k + 84. Suppose -12 = 2*t + 5*y, -3*t + y = -3*y - k. Differentiate 3*l**4 - 2 + 0 - l**t wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 373*f**2 - 890*f**2 - 1533*f**2 - 2.\nAnswer: -2050*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 + -4. Solve y*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1206*p**3*s*x**3 + 8083*p**3*x**2 - p**2*s*x - 4*p*s*x**2 + 2*p - 2*s*x**3 + 15*x**3 - 5*x**2 wrt x?\nAnswer: -7236*p**3*s - 12*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/11*(-288)\/(-216))\/(-4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/6 in -0.4, 33, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.948588 kilometers in micrometers?\nAnswer: 948588000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 35 = 6*v. Let r(d) = -3*d**2 - 105*d + 621. Let b be r(-40). Solve 0*q - v*q + b = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**3 + 4*z**2 + z - 2. Let m be d(-3). Suppose 0 = 4*l - t + 141, 69 = -2*l - 3*t + m*t. Let c be 34\/9 + (-8)\/l. Let u(w) = 2*w - 2. Give u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from azfakzfzkfafza. What is prob of sequence fkka?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -44.5 - -44. What is the nearest to -7 in 2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 742481 is divided by 72.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -53*l**2 - 112*l - 111. Let j be a(-1). Suppose 5*s - s - 16 = 0. Sort j, s, 3 in decreasing order.\nAnswer: s, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of -w**4\/6 + 2*w**2. Suppose -3*v - 2*q = -99 - 479, 5*q = v - 170. Let u(r) = -2*r + 190 - v. What is u(f(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 3*l - 2. Let x be a(2). Suppose -x*w - n + 27 = -2*n, n - 5 = 0. Let f be 50\/3 - w\/12. What is the greatest common divisor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 + 17 = 4*o. What is the units digit of 72\/(-162) - (5930\/(-18) + o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -11\/13 = -2.551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 157772 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7.3 - 7. Let m be (4\/(-22))\/(10696\/(-616) + 18). What is the second smallest value in m, -3, 0.06, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 2*k**2 - 3*k. Let y be j(-3). Suppose 0 = -y*b - 3*b. Which is greater: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/3*(1638\/(-180) + (-19)\/(-190))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.2676154l?\nAnswer: 267.6154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 41482*x**4 + 51448 wrt x.\nAnswer: 165928*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6200093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -311592772 at most -311592773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 231*v + 2*v**3 + 165*v + 161*v + 163*v - 720*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-16)\/4*((-4)\/1)\/4. Let y = -71.7 - -77. Let z = y + -5. Sort z, -0.1, f.\nAnswer: -0.1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86 + 3.312?\nAnswer: 89.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1687660.\nAnswer: 2, 5, 13, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 + p**2. Let r(t) = t**3 + 5*t**2 + 5*t**3 + t - 1 + 0*t. Let n(j) = -10*j**3 + j**2 + j. Let y be n(-1). Calculate y*c(v) - 2*r(v).\nAnswer: -2*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/5)\/(-2) - 747\/180 - -4?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18)\/(-8))\/((-97335)\/(-67980)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8084894 litres to millilitres.\nAnswer: 808.4894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/10305 and -53\/10?\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -74*a**2. Let r(t) = 192*t. Give d(r(x)).\nAnswer: -2727936*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 5:06 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 2*d**2 + 12*d + 29. Let p be i(-6). What is the second derivative of -1981*l + 16*l**2 + 1 + p*l**2 + 1865*l wrt l?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 divided by -3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1820941517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -542\/5 + 109. Let k be 1\/(-2)*2\/4. Suppose -3*d + 7 + 5 = 0. Which is the smallest value? (a) j (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3158*j**4 - j**3 - 4*j + 936 wrt j?\nAnswer: -37896*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 + 2*m - 1. Let y be g(2). Which is smaller: -1\/17 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*1*sqrt(133))\/((sqrt(63)\/sqrt(3))\/sqrt(3)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of m**6\/9 + 14*m**5\/15 + 19*m**4\/6 + 50*m**3\/9 + 16*m**2\/3 + 8*m\/3 - 6. Factor h(k).\nAnswer: 2*(k + 1)**3*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -4 (c) -1.1 (d) 0 (e) 37\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 15*h + 120. What is r(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.659 and -1031?\nAnswer: -679.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 380463089 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 23034 (base 9) in base 13?\nAnswer: 6ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/(((-32)\/144)\/((-1)\/(-9))*(-560)\/210)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the third derivative of -283*k**5\/12 + 357*k**3\/2 + 2559*k**2. What is the first derivative of a(g) wrt g?\nAnswer: -2830*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + -5 + -12 + (-3 - -22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3329*l - 880. List the prime factors of n(-1).\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(75)*2 + (sqrt(75) - (sqrt(75)*1)**2)*-5 + -1.\nAnswer: -35*sqrt(3) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j - 1. Let v(u) = -342*u**2 + 345*u**2 - 3*u - 1 - 2*u. Determine -5*f(t) - v(t).\nAnswer: -3*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**2\/21 - 134500*w\/21 - 1433984\/7 = 0.\nAnswer: -67218, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*u - 37*u = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75\/20*-1)\/((-648)\/(-864)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7115, -7927, -8739, -9551?\nAnswer: -10363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149 is divided by ((-2)\/(-6))\/(12\/504).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 30*f**2 + 32*f**2 - 65*f**2. Let n(c) = -2*c**2. Let l(p) = 3*p**2. Let g(r) = 3*l(r) + 5*n(r). Calculate i(g(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**2 - 5*l - 46. Let q be b(-5). Do q and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from saaaaaaafsaaaaasa?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -293, 0, 3 in ascending order.\nAnswer: -293, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -95*z - 2275. Calculate g(-23).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -2, -1\/5, -1\/2 in decreasing order.\nAnswer: 6, -1\/5, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/18 in -22, 5\/2, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 - 56*x + 109*x - 47 - 53*x.\nAnswer: 2*x**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of c**8\/1344 + c**7\/168 + c**6\/48 + c**5\/24 + 5*c**4\/96 + c**3\/24 + 6*c**2. Factor p(z).\nAnswer: (z + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 193776016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 192410549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -62968*d + 139935*d - 45984*d - 70354*d to r + j*d and give j.\nAnswer: -39371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tattataaaata. What is prob of sequence ta?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (531*j**2 + 240*j**2 - 24*j**2 - 174*j**2)*(-8 + 6 - 3).\nAnswer: -2865*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/49 + (-99)\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -214*s - 221*s + 449*s - 280 = 0 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2\/221 - 448\/663. Let y = -26 + 26. Which is the nearest to -2\/5? (a) 1\/6 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3118*d = -3310*d + 1816 + 2600 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12374 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be -934*803 + (0 - -2). Round z to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 12370 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 15) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-33)*o**36 assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4471\/6 - -1643\/2. Which is greater: u or 76?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23.2045 - 0.0545. Let k = j + -24. What is k rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 0) + 11 + (1128 - 1178)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -14*c**5\/5 + 12*c**4 - 20*c**3 + 16*c**2 - 6*c + 46. What is f in m(f) = 0?\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 10, -8, -68, -194, -410?\n\"Answer: -4*j**3 + 3*j**2 + j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31154860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-27)\/(-3))\/(-126)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 5 = -3*m. Suppose 0 = -m*t - 0*t - 2*q, -5*t - 3*q = 0. Suppose 202000 = -2*x + 4*j, -x + 3*j - 121711 + 20711 = t. Round x to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -7*p + 792. Let f = -83 + p. Solve g - f = -0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3286245 divided by -657249\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/2 - 4 - 0. Let j(y) = -3*y - 3. Let n be j(m). Suppose n*w = 2*w + 8. Solve 3*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 1040 = 152. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111 + 1100001?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(168)\/sqrt(300))\/(6*sqrt(448)).\nAnswer: sqrt(2)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -272. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3258.564mg in kilograms?\nAnswer: 0.003258564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 41*q**3 + 52*q**3 - 24*q - 84*q**3 + 8*q + 7*q**2. Let g(l) = -6*l**3 - 5*l**2 + 11*l. Give -7*g(r) - 5*m(r).\nAnswer: -3*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 117861207*j**3 + 4*j**2 - 27144701*j wrt j?\nAnswer: 707167242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 32458671 to the power of 1\/2, to the nearest integer?\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be 893\/76 - (-1)\/4. Suppose -5*t + l*t = -2870000. Round t to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55705?\nAnswer: 5, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 26.9279 millimeters to meters.\nAnswer: 0.0269279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (68\/(-765))\/((-4)\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(2\/(-27)))\/1. Suppose 2*x - 77 = -m. Let a = x + -99\/4. What is the third biggest value in a, -1\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*u + 85*u + 235*u + 3 to the form b*u + n and give b.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1699*z + 223566 - 196382 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.04 (b) 232 (c) 4\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 402 and 1896174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 + 3*p - 1. Let h be t(-3). Put h, -3, 2 in decreasing order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-3\/7)\/d)\/d**(-2))**(4\/9) assuming d is positive.\nAnswer: d**(16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 310 a factor of 16704032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -24166, -48254, -72342?\n\"Answer: -24088*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x - 1. Let o(u) be the third derivative of 0 - 1\/2*u**3 - 1\/8*u**4 + 0*u - 34*u**2. Determine 2*f(c) - o(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 215 + 22. What are the prime factors of n?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uubvvuvbdabbhbh. What is prob of sequence buab?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of -m**4\/16 - 5*m**3\/8 + 9*m**2 - 143*m. Factor s(l).\nAnswer: -3*(l - 3)*(l + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -6*t - 22. Suppose -3*g - 14 = 7. Calculate the lowest common multiple of 104 and m(g).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 7710, 61520, 207488, 491664, 960098?\n\"Answer: 7675*z**3 + 29*z**2 - 2*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**2 - 2*q - 12. Let d be x(5). Let r = 118 + -97. Let h(v) = -d - v + 2 + r. Let s(k) = 5. Calculate -2*h(f) + 9*s(f).\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*j - 57 = 40*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -5*b + 120, 3*z - 50 = 4*z - 5*b. Suppose 10*w = 23*w + 169. Let d = w - z. What is the highest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*a + 70*a = 8200. Sort a, 4, -5, -4 in decreasing order.\nAnswer: a, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24) - (sqrt(24) + -1*sqrt(24))*-4)\/(-2*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24426 is divided by 2692.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.2, 1, -0.5, 16, 0.00772?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 AM and 2:51 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**2\/8 - 395*p\/8 + 4459\/2 = 0.\nAnswer: 52, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, -28, -1748 in descending order.\nAnswer: -3, -4, -28, -1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -n**2 - 3574*n + 397656 = 0. Calculate n.\nAnswer: -3682, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 6:26 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 - 3*r**2 - 5*r + 7. Let p be u(9). Suppose -2*d - p = -4*i, 575 = -i + 6*i + 5*d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -3*u + 5*u + 2 + u. Let i(o) = o**3 + o**2 + o + 1. Let s(w) = -2*i(w) + n(w). Suppose 10*d = 20*d + 20. Calculate s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -267001790*s**3 + 4*s**2 + 21*s + 95526 wrt s.\nAnswer: -1602010740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1659821 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*b - 22 - 11 = -82 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -183095 divided by 15.\nAnswer: -36619\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2. Let b(r) be the first derivative of -10*r**3\/3 - 11*r - 585. Calculate b(g(m)).\nAnswer: -10*m**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21\/16 and 111\/2684?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 89b52 (base 14) to base 3.\nAnswer: 121222111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h - 69 = 66. Suppose 7*f = 12*f - h. Let p = -7902\/19 + 416. Sort -3, f, p in descending order.\nAnswer: f, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.2, 136 in increasing order.\nAnswer: -0.2, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -15*k**2 - 21*k**3 - k + 9*k - 3*k + k = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2331287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 129*f + 264. List the prime factors of t(21).\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, r: 3, h: 1, n: 5}. What is prob of sequence nnn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 56, 1, -4, -6 in increasing order.\nAnswer: -6, -4, 1, 32, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 195211*l**6 - 2*l**4 - 388326*l**2?\nAnswer: 23425320*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -539*g = -399*g - 6160 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 222*p + 18 = 225*p. Calculate the highest common divisor of p and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 - 2*b**2 + b - 2. Let q = 16 - 9. Let h(j) = j**3 - 6*j**2 - 7*j - 3. Let u be h(q). Does 4 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2205*c**2. Let f(w) be the third derivative of -3*w**4\/8 - 8*w**2 + 2*w + 531. What is f(b(z))?\nAnswer: 19845*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-140))\/((-6680)\/600 + 11).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 293578264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -150520, -301176, -451958, -602860, -753876, -905000, -1056226, -1207548?\nAnswer: -1358960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(833)*-1 + 1 + 3*2*(sqrt(17) + sqrt(17)*2 - sqrt(17)).\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 3\/4, 115, 13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*h = -21 - 12 + 14. Put h, 8, 5, -2 in descending order.\nAnswer: 8, 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 17, 1, -37, -109, -227, -403, -649, -977?\n\"Answer: -2*x**3 + x**2 - 5*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 474*3\/(-24)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1537\/(-1537))\/(78\/(-27) + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 - 3. Suppose 0 - 2 = -l*v - 3*j, -16 = -4*v + 4*j. Suppose 4*z = 10 - v. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -845441, -845440, -845439, -845438?\n\"Answer: i - 845442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 5*k + k. Let h(n) be the first derivative of -1\/8*n**k + 1\/3*n**3 - 1\/4*n**2 + 0*n - 1. Factor h(w).\nAnswer: -w*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2343 + 2348. Let u = 1\/70 - 143\/210. Which is the smallest value? (a) 9 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 27966123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 532773135 by 9.\nAnswer: 59197015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y. Let l(r) be the first derivative of -r**4\/6 + 3*r - 3. Let s(i) be the first derivative of l(i). Calculate x(s(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -1 (c) -2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -53 + 164\/3. What is the fourth smallest value in -0.1, -2\/11, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4529*d**2*z**3 - 4*d**2 + 112*d*z**3 + 143*d*z**2 wrt d.\nAnswer: 9058*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + o + 18 = 0, 5*w - 21 = -3*o + 9. Let n = w - 2. Suppose -3*p + 2 = -13. Solve 16 = 2*y - n*r, 8 = -p*y - r - r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -4*d**3 - d - 14 + 0 - 22*d**2 + 3*d**3. Suppose -5*b - 110 = a, b + 102 = 4*a + 80. Calculate the smallest common multiple of q(b) and 85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67204461?\nAnswer: 3, 22401487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -78518185*d**2 + 18368014?\nAnswer: -157036370*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -6 + (16 + (-10 - 7) - 11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 23186*p**4 - 27025*p**2?\nAnswer: 556464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 7734*w + 81. Let p(u) = -11600*u - 113. What is -5*p(k) - 7*v(k)?\nAnswer: 3862*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -81, -517, -1199, -2133, -3325, -4781, -6507, -8509?\n\"Answer: -h**3 - 117*h**2 - 78*h + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -20b45b (base 13) to base 4.\nAnswer: -2323120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -6 + -3 + -26 + 35 + -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 45 and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -726 - -725.6. Let m = 148 - 743\/5. Suppose p = -5*v + 9, -6*v - 3*p + 16 = -2*v. Which is the closest to 2\/3? (a) v (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 25*r**2 - 7*r - 150. Give m(-25).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/35 or 48?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, l: 1, d: 3, w: 5}. What is prob of picking 1 l and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -20, -33, -46, -59?\n\"Answer: -13*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the second derivative of -4*b**4\/3 - b**3\/6 - 116*b. What is y(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 36428\/(-2016) + 17 + (3 - (0 - 55\/(-18)))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 86 (base 16) to base 12.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 5*g - 30 = 5*r, -4*r = 0. Suppose g*d = 3*d + 2100000. Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -15786\/20969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3099773 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 + 231*r - 2392. Let z be s(11). Calculate the highest common divisor of 966 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 - -0.11. Let s = -0.01 + z. Let r = 0.6 - 0.6. Put r, -5\/3, s in decreasing order.\nAnswer: r, s, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 - 1212210?\nAnswer: -1220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2 - 3*b - 2. What is p(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/(-8) - (-2 - 11). Suppose 54*l - 52*l = k. Suppose 0 = 4*b - 149 + 9. What is the highest common factor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 + 3*u**2 - 7*u - 8. Let a be c(4). Let m = -7 - a. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or 0.144?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -18, -27, -38, -51, -66?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*51.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -73500 = 541*f - 109747 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 3*g - 12. Let f be 42\/30*(-435)\/(-174). Determine h so that -f*h**g + 9\/2*h**2 - 5\/2*h + h**4 + 1\/2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of v**4\/4 + v**3\/3 + v**2\/2 + 4*v. Let r(b) = 7*b**2 + 5*b + 2. Let x(l) = -10*h(l) + 4*r(l). Differentiate x(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*u + 62 + 873. Calculate the remainder when 159 is divided by u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 0*y**2 + 0*y**2 - 2*y**2. Let h(c) = 3*c**2 - 4. Let l(q) = 24*q**2 - 33. Let f(u) = 33*h(u) - 4*l(u). Calculate i(f(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, -100 in ascending order.\nAnswer: -100, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-27)*n**(11\/7))\/(n\/n**22*n)**11)**(-2\/91) assuming n is positive.\nAnswer: n**(-2724\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -63\/1051819?\nAnswer: -63\/1051819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1100111011101001 (base 2) to base 4.\nAnswer: 30323221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -4. Let z = j + -17. Let k = 7 + z. Which is the second biggest value? (a) k (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 9*w - 15 = 3*o - 4*o, -8*o + 4*w + 12*w = -3*o - 48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -848 or -5944\/7?\nAnswer: -5944\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -38, -59?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -74*h + 1517. Calculate i(19).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-12)*2\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 1024981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12863 - 12693. Solve 9*x = -y + 188 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -6*s**3 + 3*s**2 - 2*s - 2. Let c = 5 + -3. Let u be p(c). Is (-455)\/u + (-2)\/(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -370 smaller than 0.062776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 + 16*f**2 + 1136*f - 18185. Give b(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -2*h**3 + 3*h**2 - 4. Let t be l(2). What is the units digit of 4\/t - 149\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -2*f - 2*k, 220*k = -4*f + 217*k - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*c**3 + 3*c**3 + 0*c**2 + 19*c**3 - 2*c**2.\nAnswer: 18*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 2*u**5\/5 + 74*u**4\/5 + 172*u**3 + 2444*u**2\/5 - 7774*u\/5 + 4394\/5 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2\/3)\/t)**(-45) assuming t is positive.\nAnswer: t**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 123826*w = 124084*w - 10320 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4717.\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 + 6. Let q(g) = -1. Let r(s) = -d(s) - 6*q(s). Let l(a) = a**2. Determine r(l(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-90)\/108)\/(2\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, l: 2, p: 4, u: 4, x: 1, i: 1}. Give prob of sequence uir.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55448*s**2 + 55420*s**2 - 110833*s**2 + 2.\nAnswer: 35*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1, -15, -37, -59, -75?\n\"Answer: n**3 - 9*n**2 + 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 - 6*w**2 - 4*w - 9. Let i be z(-6). Let k be 4\/(-12)*-12*6\/8. Sort i, k, -1 in descending order.\nAnswer: i, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 7:43 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/13*l**4 + 576\/13*l**3 - 53747712\/13 - 62208\/13*l**2 + 2985984\/13*l.\nAnswer: -2*(l - 72)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 15) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5881357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27579?\nAnswer: 3, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is aa + -1318ab?\nAnswer: -131801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -9398 + -0.1.\nAnswer: -9398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 8*d = -7*d - 3, -2*t - 7 = -d. What is the hundreds digit of (1 + (-3)\/t)\/((-3)\/(-573))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 63880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 11 - 8 = -b, 2*b = 5*j - 1. Calculate the lowest common multiple of 8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -28, -6, 60, 194, 420?\n\"Answer: 4*j**3 - 2*j**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(243)*-1*-2.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 42 - 196. Let m = 302 + b. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 138 + -190. Let y = o - -91. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 198304766 and 198304766 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 - (2 + -20)\/2. Let a(u) = -17*u - 1. Let w be a(-2). Calculate the highest common factor of y and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 5*k**2 + k - 2. Let s be w(1). Suppose s*f = -n + 30, -7*n = -2*n - f - 150. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*v**2 + 2*v - 4*v**3 - 3*v**2 - 2*v to g + o*v**2 + q*v + f*v**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1711.621826 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 + 2*w**2 - 100*w + 293. Give b(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 268, 741, 1442, 2389, 3600, 5093?\n\"Answer: 3*o**3 + 96*o**2 + 164*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71207?\nAnswer: 31, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -3*k - 2*k, 4*w + 4*k - 208 = 0. Let b = 79 - w. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -56 divided by -16\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -168328700 to the nearest 1000000.\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*f - 86*f = 1300. Let p be -1*(8 - f\/(-30)). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = d - 2*v + 5, -16 = -4*d - 2*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 6\/7*-7*(-3)\/12\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -10*s**3 + 4*s**2 + 4*s + 13. Let c(m) = 20*m**3 - 7*m**2 - 7*m - 26. Let z(y) = -4*c(y) - 7*j(y). What is the derivative of z(x) wrt x?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -47a8 (base 11) to base 5\nAnswer: -200124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -286*m + 73432*m**3 + 134*m + 132*m - 3223*m**3 + 20*m + (0*m**2 + 0*m**2 - 2*m**2)*(-1 - 2*m + 1).\nAnswer: 70213*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of 0*x - 3\/10*x**6 + 0*x**3 - 3*x**2 + 0*x**4 + 1\/60*x**5 + 0. What is the remainder when a(-1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/2)\/(-4 + (-942)\/(-240)). Is (1\/2)\/((-2)\/g)*4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 794*c**2 + 64*c + 1. Is x(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 589, 1842, 5269, 11956, 22989, 39454?\nAnswer: 62437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: -286.76*830\nAnswer: -238010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 20049 + -20045. Solve 4*n + a = -4*a - 19, -f*n + 4*a + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 62*g**2*i**3 - 24*g**2*i - 1908*i**3 wrt g.\nAnswer: 124*g*i**3 - 48*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(143) - (sqrt(143) - (sqrt(143) - (-5*(sqrt(143) + -1*sqrt(143)) + sqrt(143)))) - sqrt(143)))\/(-4*2*sqrt(1584)).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, -1827, -5, 3, -4 in descending order.\nAnswer: 4, 3, 0, -4, -5, -1827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -53edcb (base 15) in base 10?\nAnswer: -3999116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-33))**(-19\/3)\/(((d**(-3)*d)\/(d*d**(-2\/17)))\/((d**(1\/2)*d)\/((d*d*d*d\/d**(-1))\/d))) assuming d is positive.\nAnswer: d**(7119\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80281119?\nAnswer: 3, 26760373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*x - 4*x - 260 - 20*x + 27*x to the form m + z*x and give m.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*z = 9*z. Factor -2\/15*y**2 + 2\/15*y**3 + 0*y + z.\nAnswer: 2*y**2*(y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (75\/180)\/(5\/8)*(-3)\/(-30)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 3:12 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 93337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 2*a = 0. Suppose -r + 42 = -3*x + 2*r, -4*x - 5*r - 38 = 0. Let i(f) = f**3 + 13*f**2 + 12*f. Let v be i(x). Is v smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 2*r**2 + 20*r + 22. Let c be (-8*(-3)\/(-12))\/(2\/10). Give m(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18 + 12. Let m = q - -1. What is the nearest to -1 in 0.4, m, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*m**2 - 1 - 3 + 7.\nAnswer: 37*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -12.4516596 to 3 decimal places.\nAnswer: -12.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -u - 2*d, 4*u + 25 = -0*d + d. Let t = -1 - u. Suppose -o = -t*o - 15. Let v(z) = z + 5. Calculate v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16911697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 2427685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000896 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -3*n - 2. Let j be c(-3). Let d(s) = 5*s**2 + 8*s + 2*s - 17*s**2 + s**3 + 18 - j. Let l be d(11). Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 31901129, 63802259, 95703389, 127604519?\n\"Answer: 31901130*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 25907*a**2 + 114341 wrt a.\nAnswer: 51814*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (i - 2*i - i)*(-i + i - 14*i)*(-48*i**2 - 11*i**2 - 29*i**2).\nAnswer: -2464*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g - 12 = -3*g. Suppose -46*c = -56*c - 80. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6 - (-10)\/1*26\/(-52). Calculate the highest common factor of n and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 0)*(-1)\/(-3). Suppose -2*a - 2*m + 4538 = v, -3*a + 2*a + m + 2259 = 0. Let o = 3513 - a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.71? (a) 0.5 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -2*n - 10. Let b be q(-10). Suppose 30 - b = 4*w. Let l(x) = x**2 - 4*x - 4. Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1456.27 - 1438. Round b to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 578024 is divided by 1053?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eaa when three letters picked without replacement from {a: 3, e: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 4777125?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 43 or 72?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*k + 4*k. Let g be 5 - k - (2 - 0). Sort g, 2, -6 in increasing order.\nAnswer: -6, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 10 = -4*y - 2, -4*m = -5*y + 63. What is the remainder when (-12)\/18 + (-356)\/m - 3 is divided by 100\/8*4\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 120 and (-1 - 715)\/(6*28\/(-504)).\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12155778 and 111294.\nAnswer: 109402002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1724 + 2366 = -10*h. Let t = h - -445. Calculate the lowest common multiple of t and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 214 and 738.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in 2, -1\/6, 1, 0.01, -842?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 AM and 1:41 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 29220129*f**4 - 15567409*f**2.\nAnswer: 701283096*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 4*p + 16*p + 3*p + (-1 + 3 + 1)*(-10*p + 20*p + 9*p) in the form z*p + a and give z.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/9)\/((-2)\/6). Suppose -3*m - 15 = -f - x*f, 4*f = 5*m + 24. Differentiate f - 2 + 2 - 3*b**2 with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -9 - 180?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -v**4 + 0*v**4 - v**4 - 2*v**4 - v**4 + 4*v**4 + (-2*v**3 - 2*v**3 + 6*v**3)*(3*v - v - v) + v**4 + 0*v**4 + 0*v**4 - 90*v**4 + 180*v**4 + 110*v**4.\nAnswer: 202*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2472830447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/21)\/(3\/(-10)*(-41)\/(15129\/410))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 100\/(-75)*1\/(10\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 + 7*d**2 - 4*d - 3. Determine u(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -11*i**2 + 8*i + 3. Let h be l(-4). Which is smaller: -2254\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 962 - 890. Calculate the remainder when 131 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b + 1. Suppose 5*n - 9 - 11 = 0. Suppose -y = -7 + n, 39 = -3*f - 5*y. Let a(o) = 21*o - 18. Calculate f*u(r) - a(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05669783 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -4*z - 1. Let d(b) = -b - 9. Calculate the remainder when m(-1) is divided by d(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n**4\/7 - 23134*n**3\/7 - 126944*n**2\/7 + 993736*n\/7 - 462240\/7 = 0. What is n?\nAnswer: -5778, -10, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {s: 8, c: 3, y: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 615?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 305069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 2*o - 2*o = -140, 118 = 4*j + 2*o. Let p = 3 - -14. What is the remainder when j is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + -23 + (-3 + -2 - 6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-31)\/(-6)*-2*3. Let q = b - -25. Is 10 a factor of q\/18*(-146 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the second derivative of m**7\/168 - 7*m**6\/72 + 7*m**5\/12 - 5*m**4\/3 - 10*m**3\/3 - 8*m. Let r(z) be the second derivative of i(z). Factor r(u).\nAnswer: 5*(u - 4)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3480998716?\nAnswer: 2, 13, 66942283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -825 divided by -25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 + 13*o**2 - 84*o - 23. Give f(-17).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -61*p + 57*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 - 27*r**2 + 48*r + 49. Determine s(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4747 + 2?\nAnswer: -4745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gvgm when four letters picked without replacement from mgvmggmgmgm?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26\/3 - 8. Which is the third smallest value? (a) -2\/23 (b) 2\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - -4. Suppose -16 = -o*s + 14. Find the second derivative of 5*l + 0*l**5 + l**5 - s*l wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**3 + 175*m**2 + 96*m - 54. Let a be o(88). Put a, 0.3, 0.2, 1\/2 in descending order.\nAnswer: a, 1\/2, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -6*b - 63. Let i be u(-11). Suppose -c + 322 = i*y + 74, -y + 64 = 5*c. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 12:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1106477123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, m: 1, e: 2, f: 1, a: 2, n: 1}. Give prob of picking 2 a and 1 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 64054*d**2 - 2. Let q(t) = -2*t**2. Give v(q(h)).\nAnswer: 256216*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together -15631 and 2.\nAnswer: -15629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -9*v**2 - 5*v + 11. Let r(o) = -2*o**2 - o + 2. Suppose -4*m = j + 12, 2*j = 5*m - 10*m - 18. Let x(w) = m*k(w) + 11*r(w). What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -125, -102, -51, 34, 159, 330, 553, 834?\n\"Answer: f**3 + 8*f**2 - 8*f - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14351 - 4390. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -256 - -235. Let t(p) = p**3 - 7*p**2 + 3*p + 18. Let z be t(6). Let k = l - z. Is -21 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 0*u**2 - 100 - 26 - 23*u**2 + 2*u**2 + 18*u**2 - 7*u wrt u.\nAnswer: -6*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 337 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7)\/2 + (-3)\/6. Let s be ((-2)\/(-6))\/(1\/6). Suppose -6*z = -s*z + 12. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -270, -3, 3, -8, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, -3, -8, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*i*l**3 + 2*i*l**2 + 2084*i*l + 2471*l**5 - l**4 + 105*l wrt l?\nAnswer: -90*i + 148260*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -45*l**2 - 2251*l - 45. Determine f(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -7*s - 13. Let y(l) = -3*l - 78. Let t be y(-25). What is the remainder when 71 is divided by f(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -64*q + 2. Let u be a(-5). Suppose 0 = 3*l - u - 1349. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (0 - (-205)\/(-35)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of -v**4\/24 + 51*v**2. Let h be m(0). Solve 5*l - l + 12 = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 - -19. Which is the fourth biggest value? (a) 2\/19 (b) m (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4843 + 3?\nAnswer: -4840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (l**2 - 2*l**2 + 6*l**2)*(0*l + 0*l - 5*l) to the form a*l**3 + t + w*l**2 + g*l and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m**2 + 494*m + 6*m**2 - 488*m as g + x*m + f*m**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -114570 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 + 8. Let i = 313 - 307. Calculate the least common multiple of i and (-27)\/(-6)*(-4)\/t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**2 - 16188*j.\nAnswer: 3*j*(j - 5396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -5*i**2 + i + 1. Let d be u(-1). Let t be -6 - 5\/(d\/2). Let m = -728 + 726. Which is the third smallest value? (a) 3 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85186639.\nAnswer: 251, 339389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -2291 by -505.\nAnswer: 2291\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7981?\nAnswer: 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 365699 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 54461.4, 2?\nAnswer: 54461.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 5247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*a - 15*a = 5. Suppose -a*p = n + 5, -2*p - 5 = 2*n + 3*p. Suppose n = -u - 5 + 424. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-36)\/54 + -4)*6\/(-7). Solve -b*t - 8 = -8*t - 2*m, 3*t = -m + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + h - 3*h + 12 = 0, 0 = -h. Let b(d) = 59*d - 16. What is the tens digit of b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 - 20*a + 86. Calculate f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -100 divided by -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vxax when four letters picked without replacement from gcxcxvxxgggcccvavvcc.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 5:57 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 222 and 1205460?\nAnswer: 1205460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*a**4 - 7900*a**3 - 4436*a**2 + 7900*a + 4400 = 0.\nAnswer: -1, -5\/9, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2463*a - 2462*a + 7 = -3*g, 3*a - 4*g + 34 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.708 - 0.408. Which is the closest to -2? (a) 7\/2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 + (-11 - (0 - -2)) - -9) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -3*g + 5*g - 5, -30 = -5*g + 5*x. Let b(q) = -q**3 + 5*q**2 - 5*q + 1. Let a be b(4). Let o = a - -3. Solve -f + 0 + g = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1235 + -560. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*(-2 - (0 + 7\/(-3))). Is x > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 14*t + 133. Let o be p(-9). Let d be 1*(o + 0 - 4\/(-1)). Solve 0 = -f + 3*z - 11, 4*f - 13 = -5*z + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((4\/(-1))\/(2\/(-1)))\/((-148)\/(-666)). Solve p*w - 76 = -13 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 207852631*a*i + a + 30001295 wrt i.\nAnswer: 207852631*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**2 - 9*v - 2. Let a be w(9). Let b(p) = 9*p**2 - 5*p - 1. What is the units digit of b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84307 is divided by 26951?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 6*g - 32 = -8*g, -44 = -2*a - 5*g. Suppose -5*z = -10, -6*b + z = -11*b + a. Solve -3\/5 + 3\/5*f + 6\/5*f**b = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1417 - 1417. Let w(t) be the first derivative of -5\/2*t**2 - 9\/5*t**5 - 15 + 0*t**3 + b*t**4 + 0*t. What is the second derivative of w(a) wrt a?\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.7902 - -0.6902. Which is the nearest to z? (a) 0.5 (b) 6 (c) -1\/4 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.0434 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 237313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6505\/26020)\/((-1)\/500)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 31\/5 + -9 + 2 + -6 + (-214)\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(1 + sqrt(68) + sqrt(68) + sqrt(68)).\nAnswer: -12*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of -63*w**2 - 85. Let v(f) = -8*f. Determine v(h(s)).\nAnswer: 1008*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 - 9*p - 7. Let n be t(10). Let u be n*(-1)\/3 + 7. Suppose u = 2*v + 2. Solve 0 = i + 1 + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2 + 26188318*p - 26188320.\nAnswer: 2*(p - 1)*(p + 13094160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, v: 1, n: 1}. Give prob of sequence vb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**2\/4 - 89523*s\/4 + 4401033\/2 = 0. Calculate s.\nAnswer: -29939, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nddnn. Give prob of picking 2 n and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -14874 divided by 6?\nAnswer: -2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2230941541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (30\/(-24))\/(-13 + (-1548)\/(-96)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/(d**(1\/8)\/d)*d**18)**12 assuming d is positive.\nAnswer: d**(501\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52642, 60836, 74492, 93610?\nAnswer: 118190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6348*i - 5707*i - 131*i - 4088*i.\nAnswer: -16274*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.737 + -5.137. Let y = -0.1 + 0.2. Let m = y + 0.4. Which is the closest to 2? (a) 4 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6924651 rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 3 p when four letters picked without replacement from {i: 1, p: 3, n: 11}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**2\/7 + 844*r\/7.\nAnswer: 4*r*(r + 211)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 20\/27 (b) -3 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 367145 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 2*w**2 + w + 182. Let l be o(0). Let a(i) = 182 - l + i. Let z(g) = 5*g**2 + 5*g**2 - 25*g**2. Calculate a(z(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 5 + ((((-1 + sqrt(2057))*-2 - sqrt(2057))*3)**2 - (sqrt(153) + sqrt(153)*1 - -2*sqrt(17)*-2)).\nAnswer: -1190*sqrt(17) + 166655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6\/5? (a) 0.2 (b) -0.15 (c) -4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - -10998621.\nAnswer: 10998601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 2 s when three letters picked without replacement from {j: 16, s: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -11*f**2 + 9*f - 8. Let h be z(1). Let m(t) = -9*t**2 - 12*t**2 + 2*t + 18*t**2 - 14*t - t**3 - 8*t**2 - 12. What is m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -656697 - 111038 - 461445 = -205*s. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 5108, 5103, 5096, 5087, 5076, 5063?\n\"Answer: -i**2 - 2*i + 5111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6653, -6658, -6663?\nAnswer: -6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -279.129 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 306*q**2 - 1919*q**4 - 86*q**2 + 1 + 1921*q**4 + 7*q + 156*q**2 to the form m*q**4 + p*q**2 + x*q + z*q**3 + b and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 4*10\/(-12)*3624\/3020\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 748.1908 milligrams to kilograms.\nAnswer: 0.0007481908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -4360 by -455.\nAnswer: 872\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*f = -77*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqqf when four letters picked without replacement from ovvjqqofjqoqjovodo.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3835 divided by 5.\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(6\/7)*z)\/z**(2\/9))**7 assuming z is positive.\nAnswer: z**(166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 986901417 to the power of 1\/2, to the nearest integer?\nAnswer: 31415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 4*v**2 + 80*v - 82. What is the remainder when u(-27) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2474, 4765, 7070, 9395, 11746?\nAnswer: 14129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -220*u**2. Let w(j) = 81440*j. What is w(i(n))?\nAnswer: -17916800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -45950 * -0.2\nAnswer: 9190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 12 = -2*b. Suppose -14 = -b*w - z + 1, 0 = w - z + 3. Let m = -9 + 13. Calculate the greatest common factor of m and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.8 + 1.1. Suppose -2*f = -5*a + 5, 0 = -2*f - 2*a + a + 13. Suppose 0 = 4*n - f*n - 2. What is the smallest value in n, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-15)\/(-6))\/((-14)\/(-56)). Solve 5*d - 5 = u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -247, -847, -2019, -3955?\nAnswer: -6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 13872300 divided by 975?\nAnswer: 14228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of -x**5\/50 + 2*x**4\/15 + x**3\/3 + 94*x. Factor z(p).\nAnswer: -2*p*(p - 5)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*(0 + -3) - -2. Let l be (w\/10)\/((-2)\/(-8)). Let g = 10 + -9. Which is the closest to g? (a) -0.3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 9 + 10)*((-5 - 2 + 2)*(-g - 5*g + 2*g) + 6*g - g + g).\nAnswer: 260*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -1170132?\nAnswer: 5\/1170132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.401 + 0.958. Let t = -80 - -79.34. Let b = t + d. What is b rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 16) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wqwweqwqqww. What is prob of picking 2 q and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 287 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1271? (a) 3\/5 (b) -1.748 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 - 6*l - 6. Let u be h(6). Let c = 8 + u. Sort 4, c, -4 in descending order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -3*g + 4. Suppose -5*r = -g*r - 18. Suppose 5*t + 2*h = r*h + 767, -4*h = -8. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -194 - 191 - 167 + 442 = 5*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 8*t**2 + 6*t - 14. Let k be ((-18)\/12)\/(-3 - 114\/(-40)). Suppose -13*l - 81 = k. Let h be z(l). Put 5, h, -2 in ascending order.\nAnswer: h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -73*v**2 + 2774*v + 9. Let d be h(38). Solve -d*p + 24*p - 7*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ikik when four letters picked without replacement from {i: 3, k: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 15923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 131 = 2*i. Suppose -i = -5*w + 4. Suppose r = 6*r - w. Which is greater: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2 - 3*v - 1. Let j(m) = 12*m - 7. Let h(p) = 2*b(p) + j(p). Calculate h(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 551310987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.18785cm to nanometers.\nAnswer: 71878500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24 - 391 + 27 + 4)*(4*q**4 - 2*q**4 - q**4).\nAnswer: -384*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 8 + 6 = 0. Let c(h) = -s + 0 - 159*h - 4 + 158*h. Calculate c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 454046 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.852 from 381.\nAnswer: 379.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a factor of 2886218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3151862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -6*z - 8. Let p = 30 + -33. Calculate the remainder when 58 is divided by y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 46 + (-2 + 1 - 0 - ((-21 - 4) + 16))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 1.19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 18 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - (6 - (6 + 0 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/6*(-14)\/(-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4783 = 904*m + 1077*m - 22951 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 20 = 2*p + p, 0 = -v + p + 16. Let l = -45 - -54. What is the remainder when v is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7724.282 years to decades.\nAnswer: 772.4282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 86.85844 decades in months?\nAnswer: 10423.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5 and 10894360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 q, and 1 d when three letters picked without replacement from xdxqdhxxxdxbxxqqd?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f + 10. Let g(m) = -m**2 + m - 1. Suppose 2*n - 7*n - 10 = 0. Let k(v) = n*g(v) - b(v). Find h, given that k(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -2*q - 2*w + 20876, -q + 2*w + 10437 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -5*g**3 - 4*g**2 - g + 2. Calculate k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -2*h + 4. Let p(s) = 8*s - 18. Let u(w) = 2*p(w) + 9*x(w). Let q(i) = -4*i**2 + 0*i**2 - 14*i**2. Calculate u(q(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is p in -2*p**5\/9 + 86*p**4\/9 - 460*p**3\/9 + 580*p**2\/9 + 154*p\/3 - 74 = 0?\nAnswer: -1, 1, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24705, -24722, -24765, -24846, -24977, -25170?\nAnswer: -25437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63853.\nAnswer: 63853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1001 is divided by 998.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -30*r - 76. Calculate i(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m\/m**(-1\/7))\/m))\/m**(-5))\/(m**(-2\/5))**(5\/8) assuming m is positive.\nAnswer: m**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 74, 0.3, 0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-26)*k**(1\/27)\/k)\/(k**(-6))**(-16\/3) assuming k is positive.\nAnswer: k**(-1592\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -16 - 5. Let h be (-6)\/21 - 2\/m. Is (154\/(-7))\/(h + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 320788.\nAnswer: 2, 13, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1180 divided by -20?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.5 in -14, 0.1, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 110 and 24970.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000924 rounded to 5 decimal places?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42.28 - 43.28. Let q = 0.025 - -1.975. What is the nearest to -0.1 in 0.3, q, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 15*d**2 + 8*d - 10. Let a(b) = -14*b**2 - 7*b + 9. Determine -7*a(t) - 6*y(t).\nAnswer: 8*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4*r - 20, -7*r + 2*r = -3*c - 25. Suppose 0*s + 3*s = 5*y + 90, c = -s + 4*y + 23. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10.8 - -1.6. Let c = v - 12.39999695. Round c to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 313 is divided by 102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g + 4080 = -4*g. Suppose -g = -0*i - 6*i. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20229.66cm in nanometers?\nAnswer: 202296600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 51047 = 4*q, -4*q = -3*u + 33315 + 17764. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (47 - 157 - 118)*(4*b - b - 2 + 3*b)*(0 - 4 + 3)*(-b - 3*b + 2*b) in the form g*b + u + x*b**2 and give x.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 1 + 1)*(4 - 4 + k**2) + 8 - 5*k**3 - k**2 - 8 + 3*k - 2*k**3 - 3*k.\nAnswer: -5*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1939513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 5*k = 400, 8*z - 3*k = 10*z - 178. Calculate the lowest common multiple of z and 25.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 284756 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2 - 5*q + 118. Give z(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 - 7*s - 10. Let i be b(7). Let d = i - -24. Let x = 10 - d. Let p(n) = n**2 + 5*n + 3. Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 3*o + 26 = 0, 4*p - 2*o - 18 = -3*o. Let f(r) = 24 - 468*r**2 - 382*r**2 - 5*r + 851*r**2. What is the units digit of f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -243309, -973219, -2189735, -3892857?\nAnswer: -6082585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -255, -928, -2025, -3546, -5491, -7860?\nAnswer: -10653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1614 - 0.0614. Sort d, -3, 0 in decreasing order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 144407*j**3 + 661848*j wrt j?\nAnswer: 866442*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, -15, -3 in decreasing order.\nAnswer: 3, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3423 and 3423?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 3\/11, -2, -0.1, -1\/8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 - 9*s**2 + 12*s + 13. Let m be (-20 - -19)*(-14)\/2. Determine x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 + -3)*(-2)\/10. Let x(o) = 43*o. Let d(j) = -j + 1. Let w(n) = -2*d(n) + x(n). Is w(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 10) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - 0.1457.\nAnswer: -5.1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jyyj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11 and 8107?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*w + 4 - 4 - 4 - 1.\nAnswer: -6*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -47951, -95755, -143559, -191363, -239167?\nAnswer: -286971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 99 by 6.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(3\/2)*n*(n**(-1)\/n)\/n*n*n)**49\/(((n\/(n**(-5)\/n*n*n))\/n)\/(n\/n**(-6)*n*n))**5 assuming n is positive.\nAnswer: n**(197\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in 2\/7, -4\/7, -75, 1\/8, -3\/4, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + -3. Suppose 837*z - 5*t = 834*z + 88, 0 = 5*z - t - 88. Put -3, c, z in decreasing order.\nAnswer: z, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -3*x - 21. Calculate j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 52*h + 55*h = -23, 5*h = -5*j - 5. Let i(p) be the third derivative of 13\/60*p**5 + 0*p**3 + p**2 + 0*p + 0 + 0*p**j. Give i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3 + -7)\/((-12)\/9). Suppose l - 3*t - 11 = 0, -2*l + 2*t + x*t = -20. Solve 2*r = l*u - 3*r + 45, 4*r = -u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -4*o - 8, 0 = -2*o - 5*p + 4 - 18. Solve -5 = -o*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -65 in 0, 70, 0.5, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 18 + 7. What is the remainder when 15 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 5, p: 5, j: 3}. What is prob of sequence qj?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 - 7*(-10)\/(-35). Solve 4*t + 31 = -3*l, x*l - 2*t = l + 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 8700963, 8700964, 8700965, 8700966, 8700967, 8700968?\n\"Answer: x + 8700962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -6*y. Suppose -6*s = -1 + 19. Calculate the remainder when h(s) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1193 is divided by 93?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3375 and 8658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 6*d**3 + 51*d**2 - 23*d + 36. Let u be o(-9). Solve z - 5*p = -14, -4*z + 11*p - 9*p - 20 = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 322*g**3*j + 2*g**2*j + g*j + 2*g - 8083*j wrt g.\nAnswer: 966*g**2*j + 4*g*j + j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69125 is divided by 34345?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((14\/(-192))\/(-7))\/((-40)\/(-80)*4\/(-4))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/23 in 5\/12, 365, 1?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 3*d - 4*d + 6 = 0, 3*d + 2 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4497, -1, -2, -19.\nAnswer: -19, -2, -1, 4497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 193905 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 12075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(1*sqrt(4752) + 6*sqrt(528)))\/(-2*1*sqrt(108) - ((sqrt(108) - (sqrt(108) + sqrt(108)*-2)) + sqrt(108) - sqrt(108))*-2))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 - -1739.1636461\nAnswer: 1740.1636461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(448) + (2 + -2*sqrt(448) - sqrt(448)))**2.\nAnswer: -64*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 8*c**3 + c**2 - 5*c - 2. Suppose 2*r - 5*r = -9. Let n be l(r). Suppose -n = -10*p + 92. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12431.38161 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*t + 4*p - 844 + 820, 3*t + 20 = 5*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -4. Suppose -r = -s + 3. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 20*d**3 + 2334995*d**2 + 68152228750*d - 17038203125 = 0.\nAnswer: -58375, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 - 3*u - 10. Calculate the lowest common multiple of 16 and o(7).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 210311 and 55345.\nAnswer: 1051555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 16274986 a multiple of 3882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 4*q**2 + 5*q + 1. Let l(m) = 5*m**3 - 21*m**2 - 26*m - 6. What is 11*f(g) + 2*l(g)?\nAnswer: -g**3 + 2*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 AM and 11:36 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 + 28. Let h be (-1*(-2)\/b)\/((-7)\/42). Solve 0 = -h*a - 2*w - 5, w + 15 = -4*a - 0*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 215*r + 581. Calculate g(0).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23 - -17. Let d be j\/9 + 36\/(-27). Let i = -0.08 - -4.08. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -356489 and -356488 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 4*n**2. Let o(z) = 17*z**2 + 1. Calculate o(j(p)).\nAnswer: 272*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 14 = 6. What is the lowest common multiple of r and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -2, 0.19, 5, 0.3 in descending order.\nAnswer: 5, 0.3, 0.19, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7639 or 7638?\nAnswer: 7638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4.838229 millennia in months?\nAnswer: 58058.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1234765, -1234728, -1234691, -1234654?\nAnswer: -1234617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -9da5 + -2?\nAnswer: -9da7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x**2\/4 - 10497*x\/4 + 217791\/2 = 0 for x.\nAnswer: 42, 3457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve a**4 + 223*a**3\/3 - 203*a**2 + 179*a - 154\/3 = 0.\nAnswer: -77, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30765 = 3*w + 5*s + 23835, 4*w + 72800 = -3*s. Let y be 1500\/(-2 - (-1 + 18206\/w)). What is y rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/40 and -7 + (-51)\/55*-7.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -850004170*t**2 + 293192497 wrt t?\nAnswer: -1700008340*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 6 + 0 - 2 - 2*l**3 - 11*l**2 in the form v*l**2 + r*l**3 + q*l + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s - 6. Suppose 5*j = -r + 6*r - 45, -r + 2*j = -14. Suppose -5 = -r*b + 3. Suppose b*l - 7 = 3. Calculate u(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2198 + 2198 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4120125 nanograms to milligrams.\nAnswer: 0.0000004120125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 132 divide 901692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -26 + 30. Does 12 divide n\/((-5)\/(-20) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5.291 - 5.091. What is the closest to 0.1 in 0.3, l, 3, -44?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11615458*c**3 + 297817*c**2 - c - 2 wrt c.\nAnswer: -69692748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -3, 182, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.24541349 and 4.\nAnswer: 0.98165396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p. Let a be 10*2\/8*-2. Let f(l) = -l**2 - 6*l - 7. Let u be f(a). What is o(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**3 - 5*a**2 - 8*a + 7. Let g be y(6). Let d(h) = h**3 + 6*h**2 - 2*h - 10. Let l be d(-6). Let u(c) = -7 + c**l + 10 - 10 + 4*c. Determine u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20113 (base 5) in base 15?\nAnswer: -5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 39a04a + -3?\nAnswer: 39a047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1424, 1423, 1436, 1469, 1528?\n\"Answer: i**3 + i**2 - 11*i + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19054.4 + 19054. What is the closest to 0 in 3, -5\/13, b?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-2)*4\/(-6). Let m = 50 + -50. Which is the nearest to -2\/7? (a) w (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 6:39 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -2, -0.1, 2, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 7*s - 9*s - 14 + 8*s - 16. Let p be i(8). What is the highest common factor of 12 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 18 - 27 = 0. Suppose 3*v - 18 = -l. Suppose -294 = j - v*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30\/17 - -69\/68. What is the third biggest value in 1, -0.44, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -3*z. Let y(m) = m**3 + 8*m**2 - 8*m + 9. Let a be y(-9). Let f(h) be the second derivative of -3*h + 0 + a*h**2 + 1\/12*h**4 + 0*h**3. Give o(f(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6740, -6692, -6584, -6392, -6092?\n\"Answer: 4*p**3 + 6*p**2 + 2*p - 6752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 5*k + 2. Let t be 12\/4 - (-2)\/(-2). Suppose -8 = -t*a + 6*a. What is o(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27058 plus 211984?\nAnswer: 239042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(-3)*u*u\/((u*u**(-3\/4))\/u)*((u*(u\/u**2)\/u)\/u)\/(u*u**(-3)*u)*((u**(-5)*u*u)\/u*u\/(u\/u**(-2\/11)*u))**(2\/17) assuming u is positive.\nAnswer: u**(3845\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4555230506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 10*p - 315. Let m be q(30). Which is the fourth biggest value? (a) 1 (b) 4 (c) m (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 17*g - 25*g = 8, 4*g = 2*r - 6*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2299)*2 + 2)**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 - 3348*n + 69889. What is the remainder when k(21) is divided by (6\/(-3))\/(4\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1436 is divided by 360.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of 2*i**3\/3 + 4*i**2 + i + 3. Let w = -19 - -12. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24 + 26. Let h = 0 + 4. Suppose -h*j + n*j = -28. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 23328 and 21546?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:46 PM and 12:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 77.9 and -35375?\nAnswer: -2755712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 37*q**2 + 47*q - 9. Suppose 3*m + 5*x - 88 = 0, -20*m - x = -17*m - 104. What are the prime factors of s(m)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 370254439 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - -1) + -3 + 7. Let c(p) = -2*p**3 - 10*p**2 - 27*p - 12. Let m be c(-5). Is (-28)\/(r + -11) + (m - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 344743120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 33, 49?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (s - 3 + 3)*(2*s**3 + s**3 - s**3) + 8*s**2 + 4*s**4 - 8*s**2 + (s**2 - 4*s**2 + 2*s**2)*(s**2 - s**2 + 4*s**2).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 314 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xexexbieex. What is prob of sequence ibb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8554058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21389, 21396, 21413, 21446, 21501, 21584?\nAnswer: 21701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of 4*z**4\/3 - 5*z. Let f(l) = 249 - 249 - l**2. Calculate f(n(c)).\nAnswer: -256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = -2 + 7, 17*h = 14*h + 3*t - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -96505*d + 482575. Calculate q(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 4588 + -4757 - (-103 + 3)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) -2 (b) 0.09 (c) -4\/7 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 3:40 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 5.8. What is the nearest to n in -0.08, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -233, -469, -707, -947?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3*l**4 - 2*l - l**3 + 0*l - 468*l**2 + 2 + 857*l**2 - 430*l**2 in the form t*l**2 + i*l**3 + m + c*l**4 + u*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t**3 + 5*t**2 + 11*t - 8. Determine b(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -1, -2, 3, -5 in decreasing order.\nAnswer: 9, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nqsnnnqssqnnnsqn. What is prob of picking 2 n?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/29 or -0.00441?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 41.95 - 37.95. What is the nearest to p in 5, -71, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1442001 - 11?\nAnswer: 1441440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -2*n**2\/15 - 4448*n\/15 - 2473088\/15 = 0.\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 40 = 2*o, -o = u - 2*o - 7. What is the lowest common multiple of 3 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (50 - 0) + 44 + 12 + -86 + 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -278 - -285. Let m(l) = 3*l - 8. Let p be m(7). Let k = p - j. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*d - 56 = -45*d. List the prime factors of 4365\/5 - d - 9.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2a4424 + 3b5?\nAnswer: -2a403c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 1552*v**2 + 78. Let g(i) = 2*i + 30. What is g(c(d))?\nAnswer: 3104*d**2 + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 + 10. Let c(l) = l**2 - 8*l + 20. Let y be c(3). What is the smallest value in -0.1, y, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 2*b - 3*b**2 - 7*b + 4 - 11*b**2 - 5*b = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 28 + -16. Let o be 40\/(-12)*c\/(-8). Let m = 6 + 9. Calculate the highest common divisor of o and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -417.7 - -409. Let s = -8.6 - v. Which is the second biggest value? (a) -4 (b) -2 (c) 1\/2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + s + 5 = 0. Let m(p) = p**2 + 7. Calculate the remainder when m(0) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 2\/9 (c) 55\/78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b + 5*b + 16*b)*(2*b**4 - 2*b**4 + b**4).\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.391 + -0.391. What is the second biggest value in -1, -53, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -184.9 less than 15967?\nAnswer: 16151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 + 2*r**2 - r + 1. Let a(n) = -30*n**3 - 18*n**2 + 6*n - 9. Give -a(z) - 9*u(z).\nAnswer: 21*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -112122121210012 (base 3) to base 16\nAnswer: -76d20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 243416299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2553 + 2012?\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 9 and 0.508845.\nAnswer: 4.579605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 298325*t**3 + 403720*t**3 + 108951*t**3.\nAnswer: 810996*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d + 6 - 4 + 2*d - 3. What is g(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i + i + 37765*i**2.\nAnswer: 37765*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + 3*r + r**2 - r**2 - 4 - 5*r. Let q be i(3). Suppose 972*j - 15 = 977*j. Sort -2, -4, q, j in decreasing order.\nAnswer: q, -2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of -2*v**3\/3 + 1. Let n(i) = -3*i**2 + 6*i + 6. Let q(k) = -k**2 + k + 1. Let g(j) = n(j) - 6*q(j). Give g(p(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/2*16\/(-6). Suppose w = 9 - 5. Suppose 4*o - 236 = w. What is the greatest common factor of r and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 4*h - 23, 3*h = k - 3 + 24. Let y be (2\/(-10))\/((-24)\/k). What is the closest to 0 in -4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 8\/6*3. Let u(m) = 45*m**2 - 3*m - 3. Let g be u(-1). Calculate the greatest common factor of y and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9257 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/8)*o)**48 assuming o is positive.\nAnswer: o**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*j - 96*j - 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10385 = 2*k + 162255. What is k rounded to the nearest one thousand?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v. Let p be i(-2). Let g(j) = 2*j**2 - 6*j + 5. Let b(f) = -f**2 + 3*f - 2. Let x(k) = -5*b(k) - 2*g(k). Determine x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5665156 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -3\/36711316 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((5*((sqrt(98) - (sqrt(98) + -3 + sqrt(98))) + sqrt(98)) - sqrt(98)) + (sqrt(8) + sqrt(72)\/sqrt(9)*5)\/sqrt(4))**2.\nAnswer: -30*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 51 = 2*t, -2*p = 3*t - 7*t + 126. Let a = t + -12. Let o = -25328 - -25373. What is the greatest common factor of a and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 + 28*o**2 - 176*o + 47. Let l be g(9). What is the fourth smallest value in l, 11, 3, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/3*(-12)\/8. Suppose 2*c - 4*f + 10 = f, 2*c - 4*f = -6. Solve -y*g - 7 = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z**8\/z)*z*z\/(z**11\/z) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 188826*d + 94414*d + 94415*d.\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*z - 6*z + 6*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -39 + 29 - (-3 + 4 + 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.34 + -4.66. Put n, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1290760 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2*o - 2)*(7*o**3 + 3*o**3 - o**3) - 26*o**4 + 7*o**4 - 5*o**4 as k*o**4 + g*o + b*o**2 + t + q*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nqqqqnqnnnqqq. Give prob of picking 3 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.006 + 1.094. Let q be 7 - ((-4)\/40 - 217\/(-30)). What is the biggest value in h, q, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1641 + 104*s + 111*s - 164*s - 52*s.\nAnswer: -s + 1641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 623 < -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 4\/24*20*213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1726094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 - (-104)\/56 - -1. Which is the fourth biggest value? (a) -4\/7 (b) 2 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(66) + (sqrt(66) - sqrt(66)*3))\/sqrt(6) + -1*sqrt(77)\/sqrt(7))**2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 11*v**2 - 19*v + 46. Let r(c) = 5*c**2 - 9*c + 22. Let h(p) = -2*i(p) + 5*r(p). What is the tens digit of h(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -2030909?\nAnswer: 8123636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:38 PM and 11:55 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 837788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 569126576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5882 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppppppppvppvppppppp. What is prob of picking 2 v and 1 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (-7 - 354\/(-36))*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(165)\/sqrt(5) + sqrt(33))\/sqrt(3) + ((sqrt(11) + (sqrt(11)*-2 + sqrt(11))*-4 - sqrt(11))**2 - sqrt(11))).\nAnswer: 3*sqrt(11) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.47338838 rounded to four dps?\nAnswer: 0.4734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 28560 by -3570.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l - 6 + 4*l + 1. What is the remainder when 150\/4*(-24)\/(-18) is divided by v(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -46, -55, -70, -91, -118, -151, -190?\n\"Answer: -3*a**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbsj when four letters picked without replacement from sbbsjjpp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -283713aaa - 0?\nAnswer: -283713aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-4))\/((-30)\/(-660)*11)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*k**3 - 29*k**3 + k**3 - 36*k**3.\nAnswer: -147*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -57\/1443008 and -25\/5152?\nAnswer: 33189184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f**2 - 3*f**2 + 0*f**2 + (2*f + 0*f - 4*f)*(5*f - 5*f - f) - 21*f**2 - 3*f**2 - 11*f**2 + (-1 + 0 + 2)*(-f**2 + 1 - 1).\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(120)\/(-1*sqrt(3)*6))\/(6*((-1*sqrt(56) + sqrt(56))\/sqrt(7) - sqrt(8))) + -3.\nAnswer: sqrt(5)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1115321 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 91 (b) -1 (c) 0.821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-3)\/3 + (-230)\/55.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 2*i + 7, 5*o + 4*i = -6 - 5. Let t = o + 6. Suppose 5*k = 15 + 5, 0 = t*f + 4*k - 643. Calculate the greatest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*h - 3 - 10. Is h at least 2\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -625, -2461, -5513, -9775, -15241?\nAnswer: -21905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 3*b**2 - 867*b - 806*b - 2 + 1673*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -0.107 equal to 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 3*n - 3. What is the common denominator of -107\/10 and 555\/(-125)*n\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4221647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/2 (c) -2\/13 (d) 83.5195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3078406519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a + 189 = -3915. Suppose 0 = -g + 5*m + 501, -10*g + a = -9*g - m. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 89*r**2 + 2*r**4 + 11*r**5 - 4 - 87*r**2 - 4*r**5 wrt r?\nAnswer: 420*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1231 - 1231 + 102*x.\nAnswer: 102*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 4 - -1 - (12 + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 46894159 to the nearest integer?\nAnswer: 6848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 153 = -9*s - b + 4*b, -4*s = -23*b + 1093 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (0 + -1)*4 + 13458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q + 8. Let y be f(6). Let h be ((-44480)\/28)\/(-5)*1. Let b = -317 + h. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -6*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-32)\/(-15) - ((-154)\/105)\/(-11). Solve 4 + 1 = 2*u + 5*n, -l*u - 1 = 3*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 0.249?\nAnswer: 1.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 15915229151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -2. Let q = 143 + -148.84. Let u = q + 5.9. Which is the third smallest value? (a) u (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 911732901 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 111 + -763. Let j = l - -1085. Let y = j - 231. What are the prime factors of y?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m + 9 + 3 = 0. Let o(d) = 36*d + 0 - 38*d - 2. What is o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16365 divided by 3?\nAnswer: 5455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -553*o + 296*o + 279*o. Let n(d) = 15*d**2. What is x(n(f))?\nAnswer: 330*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 3*i - 2*x + 21, 3*x - 12 = -i. Solve -2*s = 2*u - 0*s, 0 = -5*u + i*s + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -4*q + 20. Let h be t(5). Let g be h + (9 - 0)\/((-3)\/(-9)). Let p = g - 25. What is the greatest common factor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 286304 is divided by 6658.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*o + 39 = 55*o. Suppose 8*h = o*h + 2425. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 276*h + 55558. Give t(-201).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -5*w + 43, -3*w + 0*s - 3*s + 9 = 0. Let d = -1 + 26. Let v = 35 - d. Calculate the least common multiple of v and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -2*u**3 + 2*u. Let y be m(-3). Suppose y*z - 49*z + 6 = 0. Solve 0 = -s + 3*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*j = -39 + 138. Which is the smallest value? (a) j (b) -20 (c) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 373 in 23, 2\/7, -18, 1\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26*k**2 - 15*k**3 - 12*k**3 - 40*k**2 + 2*k**2 wrt k.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(5 + (-123)\/24). Let b(t) = 2*t**2 - 10*t + 10. Let q(l) = l - 1. What is x*q(w) + b(w)?\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -1012 (base 3) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 11 = -0*q - 5*q, -3*o = 2*q - 6. Let k be 339\/o - 2\/(-8). What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -276, -648, -1074, -1560, -2112?\n\"Answer: -w**3 - 21*w**2 - 302*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the second derivative of k**5\/20 - 2*k**4\/3 + 49*k**2 + k - 3. Find the first derivative of l(c) wrt c.\nAnswer: 3*c**2 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -146, -5, 1.\nAnswer: -146, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + 14562*i - 204074. Determine v(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 14*h - 632. Calculate m(42).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*n + 120 + 106 + 122 - 361.\nAnswer: -7*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 + 8*g**2 + 12*g - 2. Let s be z(9). Suppose -s = -9*b + 4*b. Suppose 288 + 72 = b*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 159833080?\nAnswer: 2, 5, 11, 363257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 832\/140 + (-192)\/(-3360). Solve 2*g = 4*y - c, -4*y = g + 33 - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -7 + -1d0?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 74, 150, -440.\nAnswer: -440, 74, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (3 - 5 - -2)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jz when two letters picked without replacement from jjjjjzjjjjjjjzjjjjj?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4170 is divided by 99.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/(-2) - -1 - 2. Let j(k) = -1 + k - 2 + 5. What is the units digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 77*k = 14*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 154 - (-4 - 55 - -155)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1325, 2648, 3947, 5210, 6425?\nAnswer: 7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 265 = -5*j, 1132*r - 1136*r + 5*j = -295. Which is the smallest value? (a) -2 (b) r (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -70 + 70.000112. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 88 and 92620.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + p = 0. Suppose -2*i + 10 + 14 = p. What are the prime factors of -2*3\/i*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/6)\/((-3)\/(-20)*2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -0.384?\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 AM and 2:25 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 3*m**2 + 34*m - 956. Let u(s) = -9*s. Calculate u(g(b)).\nAnswer: -27*b**2 - 306*b + 8604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2a26b9d + 0?\nAnswer: 2a26b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3701118 plus 0.48?\nAnswer: -3701117.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*y**2 - 52*y**2 + 100*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmjmjjmmmjjjmjjmmjj. Give prob of sequence jjjm.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 94872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*y - 10, -2*y + 1 = 5*d + 2. What is the closest to d in 3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1734 by -3.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the first derivative of -315*s**2\/2 - 700*s - 905. What is the derivative of l(k) wrt k?\nAnswer: -315","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.6 * 229\nAnswer: 137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 276, 1263, 2956, 5355, 8460, 12271, 16788?\nAnswer: 22011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 + 19*k + 73. Let f be a(-15). Let c(z) = z**3 - 13*z**2 - z + 2. Calculate c(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 20 = -0. Suppose 3*j - 2*j = t. Suppose 26 = g - j*f, -4*g + 3*g + 31 = -5*f. Solve -v + g*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 AM and 10:23 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4631*f**5 - 5*f**4 - 3*f**2 + 822*f + 24.\nAnswer: -277860*f**2 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 5*u - 9, 6*u - 2*u = -2*b + 32. Solve -b = -r - 4*j + 9*j, -r + 12 = -4*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -0*y - 3*y. Let t(z) be the first derivative of -3*z**2 - z + 10. Let a be t(y). What is the second smallest value in 2\/3, -0.5, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x - 0*x - 12. Let u be x\/(-6) - (-14)\/(-21). Sort -3, -2, u in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 179*n**3 - 103*n**3 + 48*n**3 - 2 + n**3 + 2 + (n**3 - 5*n**3 + 3*n**3)*(-1 + 4 - 1) - 4*n**3 + 3 - 3.\nAnswer: 119*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 - o - 1. Let n(m) = m**2 - 4*m - 5. Let u(r) = -3*r**2 + 11*r + 14. Let q(s) = -11*n(s) - 4*u(s). Let y(h) = -q(h) + z(h). What is y(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -922, -936, -974, -1048, -1170?\n\"Answer: -2*x**3 - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-21))\/(-1*4\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -16 - 4. Solve 3*u = -5*m - 3, -v*u + 5 + 5 = 2*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 606.381 decades in millennia?\nAnswer: 6.06381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55) + (sqrt(220) - (sqrt(220) + sqrt(220)*-2)))\/(sqrt(44)\/sqrt(4)*6 + sqrt(11))*-6.\nAnswer: -30*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 135837923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 9*k - 1. Let o be z(1). Let n(b) = b - 3. Let f be n(o). Solve u = -5*a - 9 - 11, -f*a = -u + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4654*g + 5707*g - 3 + 3)*(-4*g - 2*g + 5*g) in the form d + k*g**2 + j*g and give k.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 0 - -1 - (-91 + 100 - 85)) + -2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - 4*l**2 + 4*l - 4. Let j(d) = 1 + 2*d**2 + 3*d**2 - 5*d**2 + d**2 - d + d**3. Determine -b(c) - 4*j(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 40 - 52 = 0. Let s be k - 36 - (6 + 0). Solve 0 = -2*t, -s*t = -2*v - 5*t + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 9) + 2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -122, -139, -4, 4, 0.\nAnswer: -139, -122, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14 - -6. Let v be (y\/(-16))\/((-1)\/(-6)). Suppose -v*r = -18 - 18. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -188\/3 + 64. What is the third biggest value in 2\/11, 0.07, d?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 24\/12*(-1 + 2). Suppose h*v - 5*v = -123. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -9*i - 1 + 18*i - i**2 - 11*i. Let d be m(-2). List the prime factors of d + (159 - -2) - (10 - 8).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004971 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/12*2*(-12)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -34*4493\nAnswer: -152762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 62\/(48\/9 + -5). Suppose -k - 71 = -p. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 154 - -14?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1065.264 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - l - 14 = -3*q, -q - 4*l + 12 = 0. Suppose 3*o + 93 = q*o. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11837 = -364*g + 613*g - 382*g for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 536385875, 1072771748, 1609157633, 2145543536, 2681929463, 3218315420, 3754701413, 4291087448?\n\"Answer: k**3 + 536385866*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 198\/4 - (-1)\/2. Let b be (g + -5)*1\/3. List the prime factors of (-10 - -7) + b*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -2*g**2 - 95148360*g = 0.\nAnswer: -47574180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from bbxxbbxbbxbxxbbx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 17, 45, 73, 95, 105?\n\"Answer: -w**3 + 6*w**2 + 17*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 136.59996267 + -136.6. What is f rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**2 - l**2 - 9*l**2 in the form y*l + z*l**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 22 = -6*o + 4, -4*o - 3*k = -10. Solve j - 5*i = -19, o*j - 4*i + 22 = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.6 + -0.3. Let r = 28 + -8. Let f = r - 19.9. Which is the nearest to f? (a) i (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4011*y + 3938*y = 5256 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -54677 divided by -749?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 13.308483069 rounded to four dps?\nAnswer: 13.3085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 - 11*r**2 - 45*r + 46. Let x be (-16)\/(-2 - -4)*(-70)\/40. Let l be g(x). Which is the third smallest value? (a) -3 (b) 2\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = f - 2686, 2*f + 3*a - 1468 = 3898. List the prime factors of f.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -8.381 + -16\nAnswer: -24.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 24 + -21. Suppose b*d + 2*h = h + 316, -h = 4*d - 422. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.15+132129\nAnswer: 132128.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, c: 1, y: 2, z: 1, p: 4}. Give prob of sequence cp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -6*(sqrt(68) + 0 - sqrt(68)) + (-1 + sqrt(68))*-5 - (sqrt(17)*-1*5 + (sqrt(187)*-1)\/sqrt(11) + 3))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 6406241857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a - 16*a + 96 = 0. Suppose -a*z + 72 = 24. Determine x, given that -20*x**3 - 138\/7*x**z - 8\/7 - 8*x - 50\/7*x**4 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of c**3*f**2 + 111*c**3*s**3 + 120147*c*f**3*s**3 - 142*c*f*s**2 + 25*f**3*s**2 + 2*f**3*s - 4032*f*s wrt s.\nAnswer: 666*c**3 + 720882*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 17*i**2 - 11209*i - 33615. Calculate j(-3).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the first derivative of 95*m**4 + 271*m**2 + m + 202. What is the second derivative of g(a) wrt a?\nAnswer: 2280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.9 and 3.5.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 105 - 55. Suppose -2*v + 3*x + 27 = 0, x = -4*v + 3*x + u. What is the greatest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -3 - 2. Let n be (2\/h - 2)*-249995. Suppose 3*b = -9, -2*b = -2*p - 6*b + n. What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - 4. Find r, given that 5*r**2 + 8\/3*r**p - 8\/3*r - 16\/3*r**4 + 1\/3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (24\/(-20))\/(1\/5). Let x be 2\/((-3)\/(63\/t)). What is the units digit of 6\/21 - (-89)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 - 1778778310.5.\nAnswer: -1778778310.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Is 67505 not equal to 386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -j**5\/12 + 37*j**4\/24 + 2*j**3 - 2*j**2 - 4*j. Let l be z(-21). What is l rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 509089270.\nAnswer: 2, 5, 1987, 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) - 6*(-2*sqrt(85) + sqrt(85)))\/((sqrt(5) - sqrt(20))*-3 - sqrt(5)).\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-5))\/(242\/3509 + 96\/290).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53 + 21 + 25 + 97*u + 7.\nAnswer: 97*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (19 + -16)*(4\/(-3))\/(8\/(-18)). What is the greatest common divisor of a and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1543 to 3 dps.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 23354146 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 3*m - 2*m - 1771475 = 0, 0 = 2*h + 3*m - 885721. Let k = -2222814\/5 + h. Let q = k + 1706. What is the common denominator of q and -68\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*-1*(-3)\/24*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 AM and 12:12 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -2*b. Suppose b = 3*o - 8 - 4. Solve 3*m + 7 = 4*t - 2*t, -m - 7 = o*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33 and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 42585*-0.3\nAnswer: -12775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -3*k**2 + 1913*k - 108105. Give r(575).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1704 in 3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -1\/9, -0.3, 2.4, -5 in ascending order.\nAnswer: -5, -0.3, -2\/9, -1\/9, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -4*p + 525. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 367572 and 48.\nAnswer: 1470288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 101 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(1 + sqrt(684)))**2 - (sqrt(684) - (-2 + 1 + sqrt(684)))**2 - 1*(4 + 1*sqrt(76) + 1).\nAnswer: 430*sqrt(19) + 24654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -34 + 36. Suppose m - 22 = 4*r, 0 = -h*m + 5*r + 28 + 1. What is the third derivative of 52*n**2 + 54*n**m + 4*n**4 - 115*n**2 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 5. Differentiate f*p**4 + 0*p**2 - p**4 + 2 + 0*p**2 with respect to p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v**2 - 5*v - 7. Let x(g) = g**2 - 2*g + 0*g**2 - 2*g**2 - 3. Determine -2*u(b) + 5*x(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -4*z**2 + 1 + z**3 + 2*z**3 + 2*z + 2*z**2 + 4*z. Let l(f) = 5*f**3 - 4*f**2 + 11*f + 2. Let i(d) = 6*l(d) - 11*s(d). Determine i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.5023828 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175460.\nAnswer: 2, 5, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -346 or 7116?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let i be 264\/15 - 8\/(-20). What is the highest common divisor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 60*x**2. Let q(z) = 759*z - 27. Give q(i(g)).\nAnswer: 45540*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*l - 7 = 0, 0*b + 4*l - 11 = -b. Let i = -3 + 4. Suppose -q = -0*q - i. Solve -s - 4*g = 4, 4*s - b*g + q = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of -1\/3*s**3 + 1\/24*s**4 + 0 + 1\/60*s**5 + 18*s - 3*s**2. Let l(p) be the first derivative of h(p). What is l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, 0.2, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f + 43. Give q(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -7691*a. Let t(j) = 7*j. What is l(t(s))?\nAnswer: -53837*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 14731 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-288)\/(-3))\/(18\/(-12)). Let i = z - -127. Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7043.34us?\nAnswer: 0.000117389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003889341923 rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 780 and 9161664.\nAnswer: 595508160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/24 and 143\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 90, 97, 206, 489, 1018, 1865, 3102, 4801?\n\"Answer: 12*m**3 - 21*m**2 - 14*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-3))**5*i**(1\/17)\/i*i**(-10)\/i*i)**(3\/8))**(-4) assuming i is positive.\nAnswer: i**(1323\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 0.4 (b) -89 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 3*y + 126, -15*u + 12*u + 182 = y. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*g**2 + 4*g**2 - 3*g + 4*g - 4*g**2 to y*g + q*g**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 2\/19 (c) 3\/7 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2\/45, 4, -2\/93.\nAnswer: -2\/93, 2\/45, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**3 - 7*r**3 + 318*r**2 - 318*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 4*x + 21 = 0, -5*n + 3*x + x = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4643899 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6275566743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the third derivative of -l**6\/120 + l**3\/3 - l**2. Let p be ((-1)\/((-5)\/3))\/(23\/(-115)). Is 13 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3219948 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 56 (b) 4 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5712 + -4590. What is the greatest common factor of y and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.1 - -0.1. Let x = -3 - q. Which is the biggest value? (a) x (b) -2\/3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-12 + 6 - -13 - (14 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/1336 and 9\/10?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.5 - 0.3. Let t = -11 + 9. Is i less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the second derivative of -7\/15*w**6 + 0 + 0*w**5 - 10*w + 0*w**4 + 0*w**3 - 9\/2*w**2. What is the derivative of c(l) wrt l?\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 280060 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -g + 7. Suppose 0 = -6*j - g - 15. Sort 2, -1, j in descending order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118721 is divided by 400.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38 - -38.85. Let s = x - 7.55. Round s to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 6*f**3 - 5*f**2 + 2*f + 6. Let n(k) = 7*k**3 - 5*k**2 + 2*k + 7. Let z(o) = -6*a(o) + 5*n(o). Suppose c + 2*c - 15 = 0. Give z(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbzbbbz. What is prob of picking 1 z and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4552794 is divided by 455279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lovloolv. Give prob of picking 1 v and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -126449 or -128008?\nAnswer: -128008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 14 + 0 + -5 + -3 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2*z = 7*z - 136, -91 = -3*i - z. Let b = 13 - i. Let k = b - -11. What is the closest to -1 in k, 2\/21, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -73 times -7276\nAnswer: 531148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h - 2. Let u = 2 + 2. Let y be x(u). What is c in -y*c**5 - c**4 + 4*c**2 + 0*c**4 + 6*c**3 - 3*c**4 = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l\/(((l**1*l)\/l)\/l))))**(1\/7)\/((l*l*l**(-1\/11))\/(((l\/(l**(4\/3)*l))\/l)\/l)) assuming l is positive.\nAnswer: l**(-1178\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o = 609 - 159. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 12*j + 3. Let f be o(-12). Suppose -2*w = -3*t - 18, -t + 7 = -f*w - 5*t. Suppose w*v - 3 = -6. Do v and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 + 31. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -4*t - 8*t. Suppose t = -8*z + z + 539. Calculate the lowest common multiple of 42 and z.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 396.6 + -399.6. Sort 3, 3\/136, z, -5.\nAnswer: -5, z, 3\/136, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2391612 and 324?\nAnswer: 64573524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 540 = 31*n + 199 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xfxjjixjjj. Give prob of sequence fji.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*u**3 - 2)*(-10 + 10 - 2*u) + 23*u**4 - 57*u**2 + 57*u**2.\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 - 4*r**2 - 5*r - 6. Let q(w) = w**3 + 3*w**2 + 2*w + 2. Let n = 0 + -3. Let a be q(n). Let b be (-2)\/a + (-9)\/(-2). Give x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 587.2121l to millilitres.\nAnswer: 587212.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13002711203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/10 + 320\/275. Let a = x + -64\/55. Let l = -3 + -2. What is the smallest value in a, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 418131898?\nAnswer: 2, 17, 19, 647263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 667, -4 in decreasing order.\nAnswer: 667, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -85 + 87. Suppose 101 = u + o*u + 4*v, 3*u = -v + 113. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 AM and 3:09 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 273*i - 12 = 277*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Total of 32809 and 5872286838.\nAnswer: 5872319647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13230.03 - 13230. What is the nearest to -2 in -0.04, 15, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 336 + -55024311?\nAnswer: -55023642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 PM and 10:11 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.0516 + 1.9484. Sort m, -19\/3, 28.\nAnswer: -19\/3, m, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**3 + 255*a**2 - 3492*a = 0. What is a?\nAnswer: -97, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/21, -7\/257, 1.6.\nAnswer: -2\/21, -7\/257, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**0\/f)**(1\/3)*f\/(f\/f**12)*f*f\/(f*f**(2\/15)) assuming f is positive.\nAnswer: f**(193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153 - 282*i**2 + 155 - 305.\nAnswer: -282*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1160279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -60*s**3 - 4*s**2 + s + 78?\nAnswer: -360*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 260308.\nAnswer: 260308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41 is divided by (150\/(15\/3))\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(2016))\/(sqrt(200)*-1 - sqrt(200) - sqrt(8)) - (-1*(sqrt(28) - sqrt(56)\/sqrt(2)))\/(sqrt(100) - (2*sqrt(100) - sqrt(100)) - sqrt(4)))**2.\nAnswer: 4032\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (123\/12 + 2)*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/((-1425)\/(-105)))\/((-63)\/(-18))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.5397 - -65.1412.\nAnswer: 58.6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20214896 to the nearest integer?\nAnswer: 4496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the second derivative of t**6\/60 - 3*t**5\/20 + 5*t**4\/24 - 323*t. Suppose y(a) = 0. What is a?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6273 and 12?\nAnswer: 25092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -210, -417, -624, -831, -1038?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.278484, -0.5, 1\/2 in descending order.\nAnswer: 1\/2, -0.5, -1.278484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00051 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3111476?\nAnswer: 2, 17, 45757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3788 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3660, 0 in decreasing order.\nAnswer: 3660, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/6 - 407\/(-66). Solve -4*b + 6 = -s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j + 1. Let p be o(3). Let d(a) = 5*a**2 - 2*a + 1. Let v be d(p). Suppose -v + 1 = -2*y. Solve -s + y = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 727439221 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - 5) + -2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3575 + 3578. Solve 0 = -p*z + z - 2*y + 4, -3*z + 3*y = -24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(304) - (2 + sqrt(304))) + 2 + sqrt(304))**2 - -6*(sqrt(304) - -1*sqrt(304))) + 3)*6.\nAnswer: 288*sqrt(19) + 1842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24576487, 24576486, 24576485?\nAnswer: 24576484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56438?\nAnswer: 2, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the second derivative of -248*c**5\/5 - c**4\/12 + 5*c**3\/6 - 65*c**2\/2 + 6348*c. What is the third derivative of w(t) wrt t?\nAnswer: -5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13\/14 - -5\/21. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124522 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - (-5 + 2 + (25 - -18))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/13 (c) 68 (d) -5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 + 9. Suppose 1 + m = 3*q. Put q, -3, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 44 = -6*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-124)\/(-28) + (100\/28 - 3). Find the third derivative of 13*l**g + 2*l**3 - 13*l**5 - 90 - 2*l**2 + 10*l**5 wrt l.\nAnswer: 600*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2*x + 324 - 1895 = 0, 2*x = -s + 1591. Let r = s - 657. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(6\/11)*q)**(-31) assuming q is positive.\nAnswer: q**(-527\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + -8. Let a(g) = -3*g - 3. Let m be a(n). Suppose -4*j + m*j - 20 = 0. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 24*w + w + 7*w - 8*w + (-1 - 2*w + 1)*(-1 + 4 + 0) as l + v*w and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -27*u + 3. Let c(r) = -82*r + 10. Suppose 0 = 143*n - 147*n - 2*l - 50, -55 = 5*n + l. Calculate n*j(b) + 3*c(b).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 971.860768 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (38\/(-171))\/(1\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -4, -6, 5, -5 in decreasing order.\nAnswer: 5, -4, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 68331872 or 68331873?\nAnswer: 68331872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(2\/3)*h\/(h**1\/h)*((h**5*h)\/h)\/h**(-2)*((h*h*h\/h**(-1))\/h**(3\/2))\/((h**(-2\/15)*h)\/h**4) assuming h is positive.\nAnswer: h**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 29 = 5*y, 3*y - 5*v = -4*v + 9. Solve 10 - 2 = -y*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p**2 - p + 2. Let o(v) = 48*v**2 + 18*v - 27. What is 12*d(a) + o(a)?\nAnswer: 12*a**2 + 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 14435941315 - 5.\nAnswer: 14435941310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19586245 is divided by 2257.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 4*s + 3 = -37, 4*f - s - 35 = 0. What is the remainder when 33 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -787774 (base 9) in base 5?\nAnswer: -110042233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -604*h = 397*h + 21526 - 104609 for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3d24 (base 15) in base 6?\nAnswer: -140324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of 9*x**4\/4 - 8*x**3\/3 - 2*x**2 - 7*x - 10626. Let y(h) = -26*h**3 + 23*h**2 + 11*h + 20. Determine -11*f(s) - 4*y(s).\nAnswer: 5*s**3 - 4*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 20624, -4 in decreasing order.\nAnswer: 20624, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvuvvuuvuvvuvuvv. What is prob of sequence vuuv?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 6747, -5281, -1\/5?\nAnswer: -5281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 50. What is the units digit of (51*b\/15)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.92669l in millilitres?\nAnswer: 11926.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + f + 712 = -690, 2*p + 550 = 5*f. Let w be 44570\/p + 6\/14. Let j = w - -158. Sort 1, -1\/5, j in descending order.\nAnswer: 1, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 3*j = o - 15, -5*o + 25 = -5*j. Put o, -5, 3, -4 in ascending order.\nAnswer: -5, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -111\/440 and -169\/60.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - p - 38 = 0, -3*p + 76 - 141 = -6*b + 67 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0097805407 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**3 - 15*n**2 - 8*n + 32. Calculate t(7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + -10010?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1*sqrt(228))\/(sqrt(54)\/sqrt(2)) + (sqrt(171)\/sqrt(9)*-5*6)**2*3.\nAnswer: -2*sqrt(19)\/3 + 51295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 34*w**2. Let l(h) = 3*h**2. Determine l(u(k)).\nAnswer: 3468*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27438 is divided by 119?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -51*n**3*y - 30*n**3*z + 9*n**2*y*z + 2*n**2*z + 10*n - 2*z wrt y.\nAnswer: -51*n**3 + 9*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (7 + -4)*53\/(-2226)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5026)\/3590)\/(14\/(-5))*((-6)\/(-2))\/39?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 0 = 10. Suppose 25*t = 27*t. Suppose t = -3*q + 2 - 5, -h + 6 = q. Solve -5*v = -b*l - 3 - 19, 3*v = -5*l + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2*a. Let g be 4 + (-27)\/6*4\/(-6). Let c(i) = 44*i**2 + g*i - 3*i - 3*i - 2*i. What is c(f(o))?\nAnswer: 176*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 11*f**2 + 2*f - 15. Let p be l(11). Suppose 0 = 2*o - p - 3, -5*g = -3*o - 60. Calculate the remainder when 1\/(-2) + 249\/6 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*g**2 + 3*g**2 - 2*g**2)*(-1 + 0 + 0)*(0*g - 4*g + 3*g + 0*g - 2*g + 0*g - g + 0 + 0 + (g - 2*g - g)*(3 + 0 - 2) + 2*g - 2*g - 2*g).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-1 + 3) - -13. Let z be 40\/g*(-49)\/(-14). Suppose -z = -2*k + 2*m, 0 = -3*k + 5*m + 1 + 4. Solve -k = -4*c + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -4344.8 and 0.3.\nAnswer: -4344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 27, 947, 2\/5.\nAnswer: 2\/5, 27, 947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -8*l. Suppose 0 = 2*m + 4, 3*u + 2*m - 26 = -l*m. Let p = 13 - u. Sort p, -5, 9.\nAnswer: -5, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 8116 = a + 4*a, 3*a + 5411 = 2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6708160 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 5*m + 3 - 9 = 0, 34*m + 75 = -3*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -619, -874, -1305, -1918, -2719, -3714?\n\"Answer: -c**3 - 82*c**2 - 2*c - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(51)*1)\/sqrt(3)*-5)*1.\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100111011 - 11?\nAnswer: 100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 4*v**2 + 4*v. Let z be t(5). Let g = 2.8 - 3. Which is the closest to g? (a) 0 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 3, -294, -6 in decreasing order.\nAnswer: 3, -1, -6, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkpkskljjkkklk. What is prob of sequence sjl?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 6:34 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -3. Let x be 6\/3 - (-16)\/y. Suppose -388 = -3*i - 148. Calculate the highest common divisor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2\/187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -180162, -360884, -541592, -722280, -902942?\nAnswer: -1083572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 14719129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 6*r = 1. Let f be (-2)\/(-2) - (-28)\/(-20). Is f at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 12 = 3*f. Let c be f\/(-12) - 50\/(-6). Let r be c\/(-54)*(2 - -1). Put 3\/4, -8, r in ascending order.\nAnswer: -8, r, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(171) + -1*((sqrt(171)*-2 + sqrt(171) - sqrt(171)) + sqrt(171)) + sqrt(171))*1)\/((sqrt(360)\/(sqrt(30)\/sqrt(3)))\/(sqrt(20)\/(sqrt(20)\/sqrt(4)))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/(-4)*(-10)\/20. Let g = -72\/7 + 439\/42. What is the second smallest value in -2\/3, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29953 + 36\/8*36\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -2\/25 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -72219106 divided by -1.\nAnswer: 72219106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 57576, 57630, 57684, 57738, 57792, 57846?\n\"Answer: 54*y + 57522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1806\/37 + 250946\/5217. Let z be 32\/(-40)*15\/(-282). Let b = z + l. Is -1\/6 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655838700 rounded to the nearest 1000000?\nAnswer: 656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 178 and 40?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -6303 by 33.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151*b = -113*b - 168150. List the prime factors of b.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r*(r*r**18)\/r)\/(r**(-11)*r) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -3*u + 1. Let d(s) = 10*s - 3. Suppose -9*b + 8*b = -2*t + 9, -5*t + 3*b = -25. Calculate t*d(y) + 7*a(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l - 1. Let h(b) = 2*b**3 + 6*b**2 - b - 4. Let g be h(-3). Let i be c(g). Let r be (-2)\/3 + 8\/3. Solve j - 5 + r = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the second derivative of m**7\/12600 + m**6\/3600 - m**5\/300 - 155*m**4\/12 + 17*m + 3. Let r(n) be the third derivative of z(n). Factor r(l).\nAnswer: (l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/15, 806, -5, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - 9.2. Is z greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((60\/70)\/((-2)\/5) - -3)\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**2 - 5595*j - 193698.\nAnswer: 3*(j - 1899)*(j + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -10 > -2211\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 9:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - (-2 + 2)) + 2. Let w(o) = 3*o - 2. Let m be w(y). Suppose -l - m + 30 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4943, 10557, 16171?\n\"Answer: 5614*p - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -654 and -3.\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 16*u**2 - 3*u - 9. Let z be p(-3). Suppose 7*r - z = -2*r. Is 16 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 550 and 99000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -848\/7 + 9327\/77. Is z >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 7*d = 0. Solve d = -5*f + 3 - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 1317*x - 13. Let w(p) = p - 4. What is -l(y) + 3*w(y)?\nAnswer: -1314*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -344663 + 534126. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21*f**3*o + 9*f**2*o + 297*f**2 - 9*f*o + 59072*f wrt f.\nAnswer: 126*f*o + 18*o + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -6*p**3 + 74*p**2\/13 + 4*p\/13 = 0. What is p?\nAnswer: -2\/39, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 8544 divided by 28?\nAnswer: 2136\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 + 7*d**2 + 10*d + 7. Let t(o) = o**3 + 6*o**2 + 10*o + 8. Let h be 2 + 5 - (-76)\/(-19). Let r(b) = h*s(b) - 2*t(b). What is r(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 16428816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*d - 11*d + 20 = 0. Let t be (2\/(-4))\/(12\/648). Put t, d, -2 in ascending order.\nAnswer: t, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2 - 8*o - 9. Let c be s(-6). Let j(w) = -5*w**3 - 1. Let a be j(-1). Let h = a + 1. Is h at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -25203*b**5 - 382*b**2 wrt b?\nAnswer: -1512180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 25462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 213 - 181. What is the least common multiple of 121\/8 - ((-28)\/b + 1) and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yoyyp. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 - 18. Let u be (s - -82)\/(1 + 0). What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 4, u: 4, w: 2, o: 3, c: 4, v: 3}. What is prob of picking 1 f, 1 c, and 1 o?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4470.816 litres in millilitres?\nAnswer: 4470816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 584122408.\nAnswer: 2, 29, 41, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**4 - b**4 - 13*b**4 + (b**3 + 0*b**3 + b**3)*(-5*b + 0*b + 4*b) - 4*b**4 + 2*b**4 + 0*b**4 + b**4 + 0*b**4 + 0*b**4)*(-b + 0*b - 2*b)*(-16 + 8 - 7).\nAnswer: -765*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 59574571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/(-9))\/(-1) + 0. Suppose 4*t = 2*v, -5*v + 36 = -v + t. Suppose 6 = -2*h + v. Which is the nearest to -1\/2? (a) -4 (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**3 + 3*u**2 + 13 - 12*u**2 + 9*u**2 to o*u**2 + f*u**3 + d*u + w and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y - 6710 = -4*y + 5*z, -3354 = 2*y + 3*z. What are the prime factors of 10*16\/y + 63466\/42?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 58 - (30 + (65 - 49))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1204, 2356, 3460, 4516, 5524?\n\"Answer: -24*l**2 + 1224*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -159, -307, -455?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j**3 + 300*j**2 - 2524*j - 401. Give f(-158).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 616375*l**4 - 2*l - 616372*l**4 + 56 + 182 as b + v*l**3 + n*l**2 + i*l**4 + r*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -91 (base 10) in base 16?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -1\/7 (c) 51\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -4. Let h(m) = 2*m**3 - 2*m**2 - 2*m + 2. Let z be h(o). Calculate the greatest common factor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -7*l, -36*l = -3*m - 33*l - 45. Let r(g) = -g**2 - 4*g + 24. Determine r(m).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-35*d**3 - 19*d**3 - 4*d**3)*(1 + 2 - 4)*(-7 - 2 - 5) in the form w + y*d**3 + p*d**2 + k*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -18 * 166\nAnswer: -2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 - 30*k**2 + 28*k - 78. Give y(-31).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39 - 4*j + 13 + 3*j.\nAnswer: -j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 65 and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3 + 698961*p**2\/4 + 7633560585*p\/2 + 1908379225\/4.\nAnswer: (p + 43685)**2*(8*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -89, 0, 4 in decreasing order.\nAnswer: 4, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87715 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 434 and 2?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i + 10. Let u(r) = r**2 + 12*r + 7. Let l be u(-12). Let p = -13 + l. Give g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10, 14, 12, 4, -10, -30?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 + 4*y - 5. Let i be q(-4). Let c(b) = b**3 + 6*b**2 + 6*b + 7. Let o be c(i). Let a(x) = 2*x**2 + 2*x - 3. Is a(o) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 18 - 39\/2*c + 0*c**2 + 3\/2*c**3.\nAnswer: 3*(c - 3)*(c - 1)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*j**4 + 3*j**3 - 70*j + 50*j + 1 + j**2 - 8*j - 3*j**4 - 2*j**4 as w*j**3 + l*j**4 + h*j**2 + x*j + u and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.549438 kilograms to tonnes.\nAnswer: 0.004549438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1568)\/(-9) + (-4)\/18. Suppose 0*h - h + 882 = 5*r, h - p = -r. Suppose -r = -3*o + z - 5*z, -3*o = -2*z - 159. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*v**4 + 1122 - 1125 - v**3 - 3*v + v to o*v + l*v**3 + y*v**4 + t + k*v**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 3 + r)*(3*r - 3*r - 2*r**2) + r**3 + 6*r**3 - r**3.\nAnswer: 4*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 14 = -34, -50*h + 41*h - 22 = -10*h + 4*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/3 - 3*9\/(-81). Solve -w = -2*f - 1, -2*w + 5*f - h = 2*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.061101772 to three decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 33861, -2?\nAnswer: 33861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 153314837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 50 and 655820?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -685 - -690. Let m be (-4)\/(-16) + (-44)\/112. Let u be 9\/(-6)*2\/18. Which is the biggest value? (a) -0.5 (b) n (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/5? (a) -1988 (b) -1\/4 (c) 1421 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/26 (b) -25 (c) 0.081 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (-1835)\/(-8808)*(-32)\/(-5)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10283 - 10156. Calculate the remainder when f is divided by (3 - -29 - -1) + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 444*y**2 + 141636*y - 4. Let z be o(-319). Let n(l) = 7*l. Let p(q) = 0*q + q - 2 + 3. Calculate z*p(b) + n(b).\nAnswer: 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -26128 = 2094*c + 128828 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0 - 0 - (-3 + 0 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 804318 and 1614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 17*a**2 + 2. Let f = 7 + -5. Let w be z(f). Suppose -t + w = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-15)\/(-6))\/5*4. Suppose 17 = -b*v - 5*j, 22 = 3*v - 5*j - 15. Suppose 4*k - v*t = 8, 0 = 5*k + t - 3*t - 19. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - (7 + -2 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2.886367 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*a**2 - 8*a + 5 + 9*a**2 + 8*a.\nAnswer: 34*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*o - 3*o + 315 - 2*o - 421 + 3*o.\nAnswer: 3*o - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a**5 + 5*a**5 - 5*a**5 + ((a**4 - 4*a + 4*a)*(-a - a + 0*a) - 20*a**4 - 71*a**5 + 20*a**4)*(-2 + 3 - 2).\nAnswer: 75*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -2*x**3 + 17*x**2 - 25*x + 49. Calculate y(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20882658469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 353499 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 2*o + 15. Let z(n) = -n - 1. Let a(t) = -g(t) + 5*z(t). Let m be a(-8). What is the greatest common factor of 81 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5.3 - -0.3. Let g = -1722 + 1723. Which is the second smallest value? (a) -3 (b) 4\/7 (c) s (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 4*n**2 - 39*n + 75. Calculate l(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 3452*j + 4. Let w(p) = -6865*p - 9. What is -5*t(m) - 2*w(m)?\nAnswer: -3530*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 4*n + 18, -n = -h + 3. Let j = -4.1 + -0.9. What is the closest to h in -4, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*f - 4*f. Let s = -22 - -31. Solve 0 = -f*g + s - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7187 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-9\/2)\/f**(10\/11))**(-3))**4 assuming f is positive.\nAnswer: f**(714\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.279 in 5, 0.16922, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0692 + 0.0308. Suppose -b = -5*w - 5*b + 6, 2*b + 2 = 0. Let j = -0.3 - 2.7. What is the nearest to q in -0.2, w, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l**2 + 0*l**2 + 3*l**2 + (-12 + 3*l + 12)*(0*l - 2*l + l))*(l + 9*l - 3*l + (-4 + 4 - l)*(3 - 5 + 3) + (-1 + 1 - 2*l)*(-2 + 3 - 2)).\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 3*c**3 - 4 + (-2*c**3 - c**2 + c**2)*(4 - 1 - 1) + 0*c**3 + 0*c**3 - c**3 - c**3 - 3*c**3 + 6*c**3 + (-c + 0*c - c)*(4*c**2 - 2*c**2 - 3*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 - 4*x**2 + x + 10. Let a be n(3). Suppose -4*v + 893 = 5*m, a*m + 706 = 8*m - v. What are the prime factors of m?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*c**3 - 526*c**2 + 524*c**2 + 6 + 4*c**3 + c + 89*c**4 in the form y*c + j*c**2 + r*c**3 + w + x*c**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 0*w - 5*w - 12827, 3*w = 3. Suppose 0*f - 3218 = -3*f + 4*x, 0 = -3*f - x + c. What is f rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**4 + 9*u**4 - 2*u**4 - 202*u**5 + 206*u**5.\nAnswer: 4*u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 10:16 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -570 = -0*k - 2*k. Let y be (-4 + 4)\/4*3\/(-6). Suppose -k = -3*t - y*t. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -265*o + 2476*o = 119312 - 65059 + 102728 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-13 - -17 - 2) - (1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-54)\/18 + (-38)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 67, 253, 569, 1021, 1615, 2357, 3253, 4309?\n\"Answer: q**3 + 59*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4440285053 a multiple of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xwxfxfwwqx. Give prob of picking 1 f and 1 q.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-13)\/(-4))\/(155\/1860). Solve 37*f + 6 = y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the first derivative of i**3\/3 - 27*i**2\/2 - 28*i + 4. Let y be n(21). Let g = 7 - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 682 - 4764\/7. Calculate the common denominator of ((-1)\/(-3))\/(9\/(-99)) + -2 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.2 and 18.4122726.\nAnswer: 18.2122726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.18 - -0.82. Let y(x) = -x**2 - 4*x - 4. Let l be y(-4). Which is the nearest to 0.1? (a) t (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1613 is divided by 162.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and ((-756)\/35)\/9*(-3 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h. Let c(x) = -8*x + 1. Let i be (-42)\/(-28) + 2\/(-4). Calculate i*c(d) + 6*g(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 2*s**2 + 6*s - 1. Let j be d(-4). Solve -2*k + j*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (12\/22)\/3 - 160\/(-88). Let c(x) be the first derivative of 3 - 1\/2*x**k + 0*x. Let t(w) = -w. Give t(c(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) -3 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, d: 5, i: 1, a: 1, l: 1, f: 6}. Give prob of sequence idm.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1)\/w)\/w)\/(w*w*w*w*((w**3\/w)\/w)\/w)*(w\/w**(-2)*w)\/((w*w*w**(-7)*w*w)\/w) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x + 11. Let p be l(-9). Suppose -68 = -v + p. Suppose -v = -5*h - 0*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 111037694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 23313?\nAnswer: 5\/23313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 2*h = 24, -4*u - 2*h = u - 30. Let m(n) be the first derivative of n**4\/4 - 7*n**3\/3 + 7*n**2\/2 - 5*n - 155. Give m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 234385, 234211, 234037, 233863?\nAnswer: 233689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1253474?\nAnswer: 2, 691, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -33 and -1.9.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of j**5\/30 - 13*j**4\/2 + 507*j**3 - 94*j**2 - 51*j. Let r(z) be the first derivative of d(z). Suppose r(b) = 0. Calculate b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.22 + -0.32. Sort c, 2\/9, 2\/17 in decreasing order.\nAnswer: 2\/9, 2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -12*n - 165. Let z be 48\/n + -8 + 12. Factor -z - 9\/7*f**2 - 20\/7*f.\nAnswer: -(f + 2)*(9*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a*y*z**2 - 7*a*y + 2*a*z - 2*y + 197*z**3 + 23*z wrt z?\nAnswer: 2*a*y + 1182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w + 19. Let y be u(-11). Solve -8*q - 6*q**4 + 12*q**2 + 2*q**4 + y*q**4 - 8*q**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 less than -4.5?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 21 = 7*m. Let s be ((-10)\/m)\/(13\/26). Let f(d) = -3*d + 11. Let r(z) = 2*z - 5. Let g(w) = s*r(w) - 3*f(w). Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/4*-7*24\/(-60).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*k = -111*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1063 - -20?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -6294977 times -0.21?\nAnswer: 1321945.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2033, -3123, -3309, -2597, -993, 1497, 4867, 9111?\nAnswer: 14223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-12)\/l)\/(l*l**(-34))*(l\/(l*l**21\/l))**(-35) assuming l is positive.\nAnswer: l**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.0936 + 0.0936. Which is the closest to 2\/3? (a) 0 (b) 39 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.34 in 2\/1067, 1, 238?\nAnswer: 2\/1067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(121) + sqrt(121)*-2 + sqrt(121) + sqrt(121))*-5)\/(sqrt(77)\/(sqrt(847)*-1 - sqrt(847))) + 0)**2.\nAnswer: 3327500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8730 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81581?\nAnswer: 23, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8860.\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 156281624 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 4*x**2 + 1. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-45)\/(-15)*(-1)\/(12\/20*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 8 = 3*m - 33, -26 = -2*m + 2*n. Let a(h) = -h**3 + 6*h**2 + 7*h + 2. Let p be a(7). Let v be p\/4*(4 + (-56)\/(-2)). Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -51109 <= -51108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is k in 4*k**5 - 728*k**4 + 14644*k**3 - 91120*k**2 + 141200*k - 64000 = 0?\nAnswer: 1, 10, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35.5 - -36. What is the nearest to -1\/2 in -4, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -3*l**3 - 15*l**2 + 16*l - 9. Let v be r(-6). Determine o so that 2\/15 - 2\/15*o**v - 2\/5*o + 2\/5*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3769, -3792, -3815, -3838, -3861?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 107, 180, 191, 110, -93?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 3 - -2) + (-133 - -141).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 359 - 234. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8840 - -16837. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s**5 + 2535*s**4 - 38529*s**3 + 146841*s**2 - 188250*s + 77400 = 0. What is s?\nAnswer: -860, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 - 1. Let b(o) = 8 - 2 - 5*o - o**3 + 4*o**2 + 2*o - 2*o**2. Let z be b(2). Solve 5*q - m - 41 = -w, q + m = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 3, 5, -24 in decreasing order.\nAnswer: 15, 5, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of -14*d**6\/3 - 78*d**5\/5 - 12*d**4 - 8*d**3\/3 + 136. Determine j, given that n(j) = 0.\nAnswer: -2, -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jmjhjmjmhbmmm. What is prob of sequence hjmb?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 245, 1587, 5091, 11837, 22905, 39375, 62327?\nAnswer: 92841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.3 + 0.7. Let d = n + -8. Let t = 6 + d. Put 5, -1\/6, t in ascending order.\nAnswer: -1\/6, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 100153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01625 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 35015 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2371*s = 4554*s - 2315*s - 15576 for s.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -71 + 273 + -156 - (-1 - (-7 - -1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12927 + -12923. Solve 0 = 9*m - 7*m - 2*w - 14, -w - g = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/4*44\/(-77). Let f = -43 + 41. Which is the second smallest value? (a) f (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 + s**2 + s - 4. List the prime factors of i(3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17.676919903 - -0.323079997. Let f = 5 - 23. Let v = m + f. Round v to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(9\/(-6)) - 72\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -267.9715 - 0.0285. Let q = y + 271. Which is the smallest value? (a) q (b) 1\/2 (c) 2\/75 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.004754 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 {e: 2, z: 5, w: 2, h: 4, d: 4}. What is prob of picking 2 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.151 (b) -42 (c) 9.3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 24679*j**2 + 16*j + 4 - 25*j - 24668*j**2 in the form s*j**2 + x + k*j and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000489182 to six decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u**5\/5 + 3609*u**4\/5 - 1003653*u**3\/5 - 50068641*u**2\/5 = 0.\nAnswer: -43, 0, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 5*f**3 + 11*f**2 + 13. Let d(m) = 9*m**3 + 21*m**2 + m + 25. Let t(g) = -6*d(g) + 11*x(g). Determine t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 9*i + 2*i - 248768. Is i a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/24 of a day in minutes?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10019476?\nAnswer: 2, 2504869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (41699\/46)\/7*56\/(-98).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 41*j + 15. Let h be w(8). Let s = 401 - h. Are s and 62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(((q*q**(-2\/3))\/q)\/q))**5*q**(2\/3)*q**6)\/((q**0*q**(-1\/7))\/(q\/(q*q**(-3)*q*q*q)*q**(2\/3))) assuming q is positive.\nAnswer: q**(437\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/66*5 - 4\/22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 5512429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(d**8\/d))\/d)\/d**7*d**(2\/29)*d*d*d*d**(2\/7))**(-46) assuming d is positive.\nAnswer: d**(99406\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r**2\/7 + 7206*r\/7 + 86760\/7 = 0. Calculate r.\nAnswer: -12, 3615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -984 by -246.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 772 = 4*a, y + 4*a - 175 - 9 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-15)*(-3)\/2)\/(-210 + 221)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 262 - 82 = 0. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.5 - 0.3. Let k be 3*(3 + 10\/(-5)). Which is the second biggest value? (a) -1\/10 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3 - 15122707*w**2 - 57174059190608*w + 57174074313316.\nAnswer: -(w - 1)*(w + 7561354)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 301, 1305, 3969, 9121, 17589, 30201, 47785, 71169?\n\"Answer: 138*c**3 + 2*c**2 + 32*c + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 48 * -0.114.\nAnswer: -5.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {g: 2, i: 2, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -24218 + -64.3634?\nAnswer: -24282.3634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 2*p = 36. Let k = p - 4. Solve -h - 3*w = -7, k*h + 5*w = 2*w + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 360*m**2 + 3 + 144*m**2 - 3 + 154*m**2.\nAnswer: -62*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 10269796223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -242 + 134. Let v = 105 + c. Let h be 3 + -4 + v\/(36\/(-11)). Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31207 - 282658\/9. Let m = -199 - f. Which is the closest to -2.4? (a) 0.4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1145\/33 - 3\/9. Let h = -1\/197797 - -359199385\/6527301. Let j = h - y. What is the common denominator of -50 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 3*p - 7. Let g(n) = -3*n + 8. Give 4*g(k) + 5*m(k).\nAnswer: 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 301685851 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 + 1)*(-4 + t**2 + 4) - 51751 + 51751 + 312*t - 12*t**2 as r*t + v*t**2 + u and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -23819 minus -0.05285743?\nAnswer: -23818.94714257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 6*m**2 + 10*m - 11. Determine n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s + 1. Let n be u(-3). Suppose -2*t + 68 = 2*t. Solve 5*o = j + t, -3*o + n = o - 4*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 31*f**2 - 31*f + 36. Let w be b(-32). Is 42621\/(w\/(-10) - (-578)\/170) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 245, 4, -638409 in descending order.\nAnswer: 245, 4, -638409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 9*d**5\/7 - 18*d**4\/7 - 25*d**3\/7 + 30*d**2\/7 + 36*d\/7 + 8\/7 = 0.\nAnswer: -1, -2\/3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -14*x + 24820. What are the prime factors of x?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uur when three letters picked without replacement from urruurg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f + 33. Calculate o(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**1*t\/(t*t**17))\/(t*t**(-8))**(-1\/14))**(2\/43) assuming t is positive.\nAnswer: t**(-33\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 + ((-2)\/(-5))\/((-66)\/330). Sort 1.3, 2\/3, -4, r in decreasing order.\nAnswer: 1.3, r, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11991351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12337 and 1145651?\nAnswer: 83632523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -4*t + 5. Let q(c) = -13*c + 18. Let d(p) = 32*p - 44. Let v(g) = 5*d(g) + 12*q(g). What is 4*n(r) + 5*v(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xdxdxxxddxxdddxx. What is prob of sequence xd?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-632*o**4 + 49855 - 49855)*(-14 + 8 + 54) to k*o + z + x*o**2 + r*o**4 + l*o**3 and give r.\nAnswer: -30336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 76.49477 millennia to decades.\nAnswer: 7649.477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 - 2*i - 7. Let a be z(4). Suppose -y = -j - a, 0*y + 49 = y - 4*j. Calculate the greatest common divisor of y and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16\/2891 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*h - 4 = -44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 0 = 4*p - 10, 5 = v + 3*p. Suppose -4*i - i = 0, 5*i = -v*b. Find the second derivative of -4*u**3 - u + b*u**3 + 0*u wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1833328, -1833334, -1833342, -1833352, -1833364, -1833378?\n\"Answer: -r**2 - 3*r - 1833324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f - 42 - f**3 - 177 - 105 + 46 in the form g*f + z*f**3 + u + k*f**2 and give u.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 106?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) 12 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/10? (a) 107\/224 (b) -15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (9 - 6\/(-6)) + -7. Find z such that -1\/2*z**c + 1\/2*z + 1\/2 - 1\/2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 440338*f = 439679*f + 50084 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 147*r - 74*r - 67*r - 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 30867144 (base 9) to base 11\nAnswer: 8433a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -16*-0.0389\nAnswer: 0.6224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 498 + -483. Let u(i) = i**2 - 15*i + 4. Determine u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 - 13*k**2 - 9*k + 51. What is v(13)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (11*13\/286)\/(87\/14094)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 2 = p, -3*p = -2*f + 5*f + 6. Let x be 4 + 2 + p + 526\/(-174). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - 0. Let w = -2 - t. Let r = 89 + -84. Which is the third smallest value? (a) w (b) 2\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-2\/9)*(l*l**(-2\/37))\/l assuming l is positive.\nAnswer: l**(-92\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (17 - -1)\/((-26)\/(-468) - (-2)\/12). Calculate the greatest common divisor of 249 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -6*i - 789. Let q(m) = 13*m + 1572. What is 9*h(z) + 4*q(z)?\nAnswer: -2*z - 813","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-190)\/(5 - -33)*(-1 + (-5)\/(-4)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (14\/(-35))\/(3\/((-30)\/(-22)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13\/(143\/6))\/(2\/3)*18\/(-54)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5549222 to the nearest integer?\nAnswer: 2356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205*n + 3*n**2 + 205*n + 11*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 579 a factor of 59593575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 + f**2 + f - 1. Let d be u(1). Suppose 0*n + d = 2*n. Let q(r) = 13200000*r. Let g be q(n). Round g to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 730913388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 2*d = 4. Solve 3*a + 4*v = 9, d*a - 14 = 7*a - 3*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -64, 1, 5, -3\/5.\nAnswer: -64, -3\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -9*q + 5*w, -4*q - 427*w - 24 = -423*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 171\/2 (c) -0.25 (d) 2 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 + -0.28291.\nAnswer: -0.48291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -22895, 0.4, -1\/2.\nAnswer: -22895, -2, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 119\/312 and 79\/780.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19 - 94\/5. Suppose d*g + 0 + 1\/5*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the second derivative of -5*t**3\/6 - 7*t**2\/2 + 5*t. Does 7 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 12:16 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2512 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 4*c - 27, c = -2*c + 2*v + 19. Find the second derivative of -3573*n**4 + 10*n + 3*n**3 - 3*n**c + 3547*n**4 wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620.8274 take away -0.07?\nAnswer: 620.8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 37844644 a multiple of 2623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1*7)\/((-3)\/6). Let q(i) = 98*i. Let h be q(1). Calculate the highest common divisor of h and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - s - 213 = -200, -4*s - 32 = 0. Let z be (-6)\/33 - (-24)\/11. Which is the second biggest value? (a) -14 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 23*c + 16. Let t(l) = 5*l + 1. Give -b(q) + 4*t(q).\nAnswer: -3*q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 284*a**3 - 164 with respect to a.\nAnswer: 852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {h: 2, y: 3, u: 7, v: 2, a: 4}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 2:54 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -146*u**6 + 9*u**4 + 238*u**2 - 17?\nAnswer: -17520*u**3 + 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 451145545498.\nAnswer: 451145545498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 267.189285 - 277.568?\nAnswer: -10.378715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 12:58 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - 1)*(-67 + -4). Let i(o) = -g*o + 87*o**2 + 0 + 4 - 3 + 72*o. What is the units digit of i(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18408 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22612 is divided by 5653.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + 4. Suppose 5*h + 140 = f*c, -2*h = 4*c + 3*h - 140. What is the remainder when 138 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 52719*a + 7380 wrt a.\nAnswer: 52719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 2315996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + d - 97 = 0, -6*d + 15 = -d. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3\/110 + -309\/770. Put q, 5, 1 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1238*v**2 + 4558*v**2 - 38 - 51 + 89 in the form i + q*v**2 + k*v and give q.\nAnswer: 3320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -25 (b) 5\/3 (c) -2\/3365 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1223, 1162, 1061, 914, 715, 458, 137?\n\"Answer: -n**3 - 14*n**2 - 12*n + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 5, x: 2, c: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -644.704 - 1.296. Let j = -1386 - m. Let d = 739.99999479 + j. Round d to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hdu when three letters picked without replacement from {u: 1, h: 6, r: 3, d: 3, f: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2 - s**3 + 139*s + s**2 - 136*s + 0*s**2. Let y be n(-3). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2 - 4*w + 4. Let r be k(4). Suppose 2*g - 3*a + 58 = r*g, 5*g = 5*a + 95. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 455568202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 30 - 28. Let c = 269 + -179. Suppose -n*p + c = 4*p. Is 2 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 1)*(0 + 0 - 3)*(-2 - 111*u - 1 + 107*u).\nAnswer: -24*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1293.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 198 and 132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -5 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*y + 8*y - 5*y)*(-26*y + 37*y + 27*y)*(-2 + 0 + 3 + 5*y).\nAnswer: 2280*y**3 + 456*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 12:45 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = 3 - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.36 - -0.14. Let l be ((-6)\/5)\/(22\/10). Put l, q, 1 in decreasing order.\nAnswer: 1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 5*h - 0 - 6, 4*h + 8 = -4*z. Let q be 2*1 + (-1 - z). Let 9*k**2 - 7*k**2 + 5*k**3 - q*k**3 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -6*u**3 - 4*u - 1. Let x(q) = 7*q**3 - q - 2*q**3 - 6*q**3. Determine -4*x(c) + y(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 2) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 - 14*a**2 + 14*a - 8. Let g be p(13). Suppose 0 = -g*i + 7*i. Let n(m) = m**3 - m**2 - m - 8. Determine n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 9*d + 9. Let v = 185 - 183. Let r be -1 - (-5 - -1)\/(v\/4). Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-152 - -131) + (9 - -1) + 3 + 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4845407.\nAnswer: 7, 29, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of -6*i**2 - i**3 + 1\/10*i**5 + 3\/8*i**4 + 0 - 1\/120*i**6 + 0*i. Suppose -5*p + 13 = 4*r, -36 = -3*r + 9*p - 4*p. Give t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((16 - 7) + -4 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 264 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 220, 795, 1718, 2989, 4608, 6575, 8890?\n\"Answer: 174*p**2 + 53*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4398, -8814, -13236, -17664?\nAnswer: -22098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -115 (base 11) in base 14?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -3 - 1 + 0 - 320*q. Let b be a(5). Is b\/(-10) - (-3)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -26 - 50 - ((-4 - 8) + 1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 154.5375 litres?\nAnswer: 154537.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g + 25*g = 3. Let a be (-2)\/695*-5*g\/(-2). Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 2*s = -1 - 4, k + 4*s - 3 = 0. Suppose 0 = -v - k*v + 88. Differentiate -3 + h**3 - 9 - v*h**3 - 7 with respect to h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84093323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13356295 is divided by 929.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29530 + -29529.5. What is the third biggest value in 4\/87, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/22186 in 5, 0.3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 83412991 divided by 83412991?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is ((-4)\/12)\/(1\/(-231)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.424 - -1.724. What is the nearest to -7\/3 in v, -1, -3\/2, -3\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 1:12 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 157 = 14*v + 66 + 63 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zqed when four letters picked without replacement from {z: 2, d: 1, q: 2, n: 1, u: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 5*m**3 - 15*m**2 - 27*m - 2. Let u(v) = -4*v**3 + 15*v**2 + 26*v + 3. Let d(w) = -6*u(w) - 5*y(w). What is the tens digit of d(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -1\/4 (c) -2 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j + 386*j**2 - j**3 + 3*j - 204*j**2 - 194*j**2.\nAnswer: -j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 + 21*g**2 - 37*g - 64. Calculate u(19).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-108)\/(-16) - 0 - 9\/12. Let t(y) = 11 + 0 + 2*y - 10*y. Let d be t(g). Round d to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -3*r. Let o(q) = 2*q + 8*q - 7*q. Calculate o(c(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 0, -38, -80, -108, -104?\n\"Answer: 3*p**3 - 20*p**2 + p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert a6 (base 16) to base 4.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2a - ea?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 77 divided by -5630.\nAnswer: -77\/5630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.4, 2, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -645006 greater than or equal to -645007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = u - 0. Let n = u + -3. Let d = 6 - n. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -5*t - 753345 - 504823, 4*t + 629090 = 2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 - 2*q - 10. Suppose -13 - 17 = -5*o. Let m be j(o). Let t = m - 11. What is the lowest common multiple of t and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = 7*y - 17. Suppose -2*f - s = -5, 3 = 4*f - s - 4. What is the nearest to -2\/7 in f, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d - 5*d + 19*d**2 + 13*d**2 - 4*d + 2 + 6*d to the form h + x*d + n*d**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1890 + 1893. Solve f*s + 19 = -2*y - 0, 11 = -2*s - y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 366 and 2501?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 2*(sqrt(6)\/sqrt(48) - -4*(sqrt(2) + sqrt(8)))*-6)*1.\nAnswer: -147*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -2512\/1165585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 3 = 117. What is the remainder when b is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18.43426376 rounded to two dps?\nAnswer: 18.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -12154*s + 72927. Let z be p(6). Suppose 5*q = h - 6*h - 5, 0 = -2*h - 8. Solve -3*w + 3 = -q*i, 14 = 3*i + w - z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27047911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -2\/9, -2, 12\/5, -1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -118616997 and -41.959?\nAnswer: 118616955.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -11 + 11 + -53 + 85\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0009381172557 to six decimal places.\nAnswer: -0.000938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 24*n - 741. Is 2 a factor of k(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 3760658.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -1287015161 equal to -1287015161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1197\/(-1890) + (9\/6)\/3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 50 + -33. What is the third smallest value in -3, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-5088)\/64)\/(2\/(-4)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.5765 + -0.3765. Let k = -0.04 - -4.04. Let y = 9 - k. What is the closest to f in -0.1, -13, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**4\/13 + 519488*t**3 + 5700950144444*t**2\/13 - 877070811456*t + 5700963651138\/13 = 0.\nAnswer: -1688337, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1502472 rounded to four dps?\nAnswer: 0.1502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10108 divided by 4.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from lduuwwwullwwwllwldl?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3440221 is divided by 113.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 + 3*z**2 - 6*z - 4. What is the lowest common multiple of 16 and s(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/o**(-20\/7))**(23\/4)*(o**(-2))**23 assuming o is positive.\nAnswer: o**(-253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -2*w**3 - 17*w**2 - 50*w - 345. What is u(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 0*h + h = -29, 26 = g - 4*h. Let u be g\/(-25)*(-20)\/8. Is u\/(-4) + 93\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2065 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1117305 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eaefecuacefamm. What is prob of sequence aemu?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes after 8:44 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 26 = 5*j, 3*x + 2 + 0 = -2*j. Find the common denominator of 2\/(-4)*(-79)\/(-2) and 225\/(-12)*x\/(-21).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 13\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -336*z + 125*z + 120*z - 411*z.\nAnswer: -502*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -11043 and -10.071.\nAnswer: 111214.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -6*c**2. Suppose 4*s - s = 12. Let r(f) = -s + 4 - 35*f + 36*f. Give m(r(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 18617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 27 = -7. Let h be (-17)\/(-3) - a\/30. Solve -h*s - 4*u = 0, 5*s = 2*s + u - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 + 332*d**2 + 312*d + 7865. Calculate w(333).\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h + 25. Determine m(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 9:00 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 + a**2. Let o be t(0). Let z be ((96\/518)\/16)\/3. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -8*n - 33. What are the prime factors of g(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 + g - 1. Let z(w) = w. Let x(r) = d(r) - 2*z(r). Let c(t) = -t**2 - t - 1. Let f(k) = -c(k) + x(k). Let u(q) = 9*q. What is u(f(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3034116\/1885 - -8048\/5. Let b = -7901\/1508 + p. What is the common denominator of b and ((-111)\/1332 + 704\/(-12))*(-7)\/70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*n*t + 145*n - 53*t with respect to t.\nAnswer: 2*n - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3651 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 202600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 1.417409 to three decimal places.\nAnswer: 1.417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*v**2 + 4818*v + 2*v**2 - 4818*v.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 3*c - 525. Let a = -60 + c. Calculate the greatest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2407 divide 163750312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 - 4*t**2 + 5*t - 3. Let f be m(3). Suppose -3*o + 7*o + f*s = 5919985, -5*o + s = -7400005. Round o to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15177 + 39790. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ehddeihedd. Give prob of picking 2 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -655 or -7482?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 338130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 52\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -111 + 99. Let j(n) be the second derivative of n**4\/12 + 5*n**3\/3 - 17*n**2\/2 - n + 48. Give j(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 61718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5093457, -5093437, -5093417, -5093397, -5093377?\nAnswer: -5093357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(9\/54 + 2\/4). Suppose a*w = 22*w + 38. Let i(m) = -m**3 - m**2 - m - 2. Give i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7796401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31521206 divided by 24454.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/(-39))\/(18*165\/1287). Find r such that -q*r**2 + 2\/15*r + 4\/5 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 82 - 41. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-6)\/4)\/((-6)\/8). Find the third derivative of -2*t**4 + 3*t**4 + 23*t**2 - 24*t**j wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5 = -a + 4*a, -3*a = 3*i - 15. Suppose -w + 0*y + 4*y = -28, -i*w + 52 = -4*y. What is the highest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1.2 (b) 7 (c) -17 (d) 0.7 (e) -0.4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -143*d - 4. Let o(g) = -189*g + 2. Determine b(o(q)).\nAnswer: 27027*q - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 438937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29838 is divided by 3312.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h*h\/h**(-5)*h)*h)**(-8\/3)\/((h\/h**(-3\/4))\/(h*h**(-7\/2)*h*h)) assuming h is positive.\nAnswer: h**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 + -884126039.\nAnswer: -884126038.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*i + 5 + 61 = -114 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -88*g**3 - 3*g**2 - 3*g - 1. Give z(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence edd when three letters picked without replacement from etdrdooeu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 3677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2, -5\/2, 4\/7, 5, 65\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*d**5 - 162418*d**4 - 376036*d**3 - 102552*d**2 = 0.\nAnswer: -8546, -2, -6\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - (-9 + 4)) + (-6876)\/756?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -17\/31487?\nAnswer: -17\/31487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6005756, 24023044, 54051858, 96092198, 150144064?\nAnswer: 216207456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -11, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4609 or -4702?\nAnswer: -4702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 111135764.\nAnswer: 2, 103, 107, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2090 and 3520?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 2:23 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 276416612 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-20))\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 3*d - 131 = -7*d, 100 = 4*c + 2*d. Suppose 5 - c = -3*m - x, 8 = m + x. Put m, -2, 24 in increasing order.\nAnswer: -2, m, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1725 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 281*b**3 + b - 2. What is the remainder when c(1) is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -96*k**2 + 149. Let i(t) = -19*t**2 + 26. Calculate -22*i(j) + 4*v(j).\nAnswer: 34*j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - ((3 - 7) + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-63)\/(-134) + (-2)\/4. Suppose 2*j + 5*w + 20 = 0, 5*j - 25*w = -22*w + 12. Are x and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1087658 and 1430?\nAnswer: 5438290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125277622?\nAnswer: 2, 29, 2159959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136 = -8*x + 40. What is the greatest common divisor of x and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 5*u**2 - 4*u + 3. Let i(w) = -w**2 + w. Let t(v) = 6*i(v) + l(v). Let g be t(-5). Let r = g + 80. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1094200, -1094196, -1094192, -1094188, -1094184?\n\"Answer: 4*m - 1094204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-3)\/w)\/w)**(-44)\/(w**(-1\/3)\/(((w\/(w\/(w*w**13)))\/w)\/w*w)) assuming w is positive.\nAnswer: w**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 895928480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.13 (b) 0.4 (c) 1\/8 (d) -2\/37 (e) 1\/2 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 940037303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 531237*z**2 - 617633 - 265618*z**2 - 265620*z**2 - 1328*z + 176737.\nAnswer: -(z + 664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 4*p**3 + 4*p**2 - 5*p. Let l(c) = 17*c**3 + 17*c**2 - 20*c - 1. Calculate -6*l(f) + 25*s(f).\nAnswer: -2*f**3 - 2*f**2 - 5*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 1. Let l(m) = m + 9. Let s(y) = -y**3 - 16*y**2 - 12*y - 15. Let v be s(-15). Let o = v + 54. Calculate o*n(h) + l(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146*d - 149*d + 24 = 0. Suppose o + 5*k - 28 = d*k, 2*o - 4*k - 64 = 0. What is the greatest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101.0955583 + -4?\nAnswer: -105.0955583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -677*m + 8199 = -8084 + 2408 - 2373 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 13266611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (((-1*sqrt(76) - sqrt(76)) + sqrt(76))*-6*1 + 4 + (2*sqrt(76) + sqrt(76) - sqrt(76))*2)**2*-3.\nAnswer: -22849 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 PM and 3:49 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12566?\nAnswer: 2, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + -22b851?\nAnswer: -22b853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -z**4\/6 + z**3\/3 - z**2\/4 - 7*z. Factor t(w).\nAnswer: -(2*w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1357901161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 26798696 to the nearest integer?\nAnswer: 5177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -30*y**2 + 3*y + 3. Let b(t) = -31*t**2 + 4*t + 5. Give 2*b(u) - 3*v(u).\nAnswer: 28*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*(-14 + (-3 - -9)). What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 2*g**3 - 137*g**2 + 69*g - 77. What is o(68)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 4 = -0. Let w(k) = 4*k + 4*k**q - k**3 - 7 + 3*k**3 + 3*k**2 - k**3. Let o be w(-6). Solve n = 2*n - r - o, 0 = -5*n - 2*r + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*m = 117*m - 53 - 1711 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 69196.86mg to nanograms.\nAnswer: 69196860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2098 - 2096.319. Let n = 2.36 - q. Let d = n + -0.478. What is d rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-2 + -7 - -21 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.4, -1\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, j: 14}. What is prob of picking 2 t and 1 j?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l + 33. Give v(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*k - p + 13, 5*k = 3*k + 2*p + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*f + 41150 = -6*f. List the prime factors of f.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(304))**2 - (sqrt(190)*-2 - sqrt(190))\/sqrt(10).\nAnswer: 27*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(68)*-2)\/(2*sqrt(196)) - -1*(-5 + (-1 + sqrt(1377) - sqrt(1377))))**2.\nAnswer: -60*sqrt(17)\/7 + 2189\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4448621909 to the power of 1\/3, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 4:15 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*h**5*u**2 + 390*h**5*u + 4*h**2*u + 78*u**2 wrt h.\nAnswer: 120*h**2*u**2 + 23400*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/33*11*(-3)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -74, 3 in ascending order.\nAnswer: -74, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*c**2 + 17*c**2 - 210*c + 352*c - 37*c**2 - 201*c to the form g*c + x*c**2 + r and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -17 smaller than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 37483698.\nAnswer: 5\/37483698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.20579 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-4)*(-11 + 13). Find g, given that 2*g**v - 4*g**3 + 0*g**3 - 2*g + 4*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 218, 423, 636, 863, 1110, 1383, 1688, 2031?\n\"Answer: m**3 - 2*m**2 + 204*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - z = -2*l + 7, -2*l - 3*z = -12. Suppose 5*r - 3*s - 59 = 0, 2*r - l*s = -s + 22. What is the highest common divisor of r and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 88*-7.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1066371409.0000011 + 1066371364. Let z = 45 + t. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 874\/171 - (38\/(-19) - -7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 991*t**3 + 4*t**2 + 297.\nAnswer: 5946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 AM and 2:54 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -17 divided by -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, p: 4, n: 2}. Give prob of picking 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of -g**8\/4032 - g**5\/2 + g**3\/3 - 9*g**2 + 3*g. Let m(r) be the third derivative of s(r). Let k(w) = -27*w. Give m(k(o)).\nAnswer: -3645*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 236*p**2 + 1664*p + 282749. Give l(-238).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7596 and 1116?\nAnswer: 235476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -4*x - 43. Calculate t(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 - 4*s + 2. Let b be d(-3). Suppose 0 = -2*n - 2*q, -5*q = -b*n + 2*n - 16. Let g(c) = 3*c**2 - c - 1. Let u(t) = t**2. What is n*u(m) + g(m)?\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(2\/17))\/p*p**5\/p)\/((p*p**(-5\/3))\/(p**(-1\/5)*p)) assuming p is positive.\nAnswer: p**(1424\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes after 8:20 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -2e592f (base 16) to base 8.\nAnswer: -13454457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w - 2. Let m be n(-4). Suppose 0 = m*b - 12 + 8. What is the remainder when 8 - (1 - (-2 - -1)) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 5 (b) -3 (c) -7 (d) -0.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4100 - -3205?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 20 = 0, 2*r - 22*o + 2399 = -19*o. Let v be (6\/8)\/(2\/3544). Let q = v - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -193\/1890 and -37\/4347.\nAnswer: 43470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-11)\/((-165)\/(-10)) - 17012\/6. Let g = 121907\/43 + p. Find the common denominator of 99\/2 and g.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 3, -6\/11, -1\/17, -24\/17, -0.022?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 8.743731m in centimeters?\nAnswer: 874.3731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.03 - -0.83. Let m be -1 + 18\/14 + (-72)\/693. Which is the third smallest value? (a) 1.6 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 3 - (-1 + 13 + -17) - -21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -5*s - 1824. Let q = 851 + s. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w + 4*m - 60 = 0, 23 = 2*w + m + 11. Factor 48 + w*b**2 - 2\/9*b**3 - 24*b.\nAnswer: -2*(b - 6)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 5*m + 4*r - 173, -2*m = r - 69. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 100\/(-26) + 0 + 226\/(-1469). Let c be (6\/12)\/((-2)\/(-80)). Suppose -2*w = w + i + c, 0 = i + 2. Put w, v, -5 in descending order.\nAnswer: v, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -105389, -105388, -105387, -105386, -105385, -105384?\nAnswer: -105383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-18)\/21 + 4160\/35. Let x = -26 + c. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 172\/(-344)*(-3)\/6. Let m = 28184\/27 - 1044. What is the nearest to g in m, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**3 + 7*b**2 + 8*b + 4. Let n be v(8). Let j = n + -2. Find the third derivative of 2*s**5 - 7*s**2 + 7*s**2 + j*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o = -4*n + 7*o + 980, -5*o = 4*n - 968. Suppose 0 = -8*c + 79 - n. Which is greater: c or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**2 - 65276*b + 1369914 = 0.\nAnswer: 21, 32617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21) + -2*sqrt(1029) - sqrt(21))\/(sqrt(56)\/sqrt(2)) - (sqrt(768) + 0 + sqrt(768) + 1)**2.\nAnswer: -3073 - 71*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 + 24*c**2 + 62*c + 408. What is j(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -9 - 61*b + 35*b - 7*b**2 + 17*b + 16*b + 2*b**2. Let a(i) = -4*i**2 + 6*i - 8. Give 6*a(w) - 5*j(w).\nAnswer: w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 405 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + -12212?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-5 - -6 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -2*w**2 + 11*w - 4. Let g be a(7). Let t = 25 + g. Suppose 4*v + t*v = 2*s + 16, 2*v - 2*s = 10. 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: Suppose s = 2*q + 1, -q - 2*q + 3*s + 6 = 0. Let c be ((-9)\/(-24))\/((-3)\/2). Sort -3\/8, c, q in descending order.\nAnswer: c, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15636596 divided by 349?\nAnswer: -44804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/((-294)\/24) - (7920\/(-77))\/(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1a1 + 3?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 0*c - 13*c**2 - 10*c**2 + 22*c**2 + 7*c - 2 as h*c**2 + k*c + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 66 + -333\/5. Let t = 0.46 + 0.04. What is the nearest to -1 in t, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 527 + -129. Let p = d + -398.0000006528. What is p rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**2 + i. Let r be k(-4). Let j = -17 + r. Let b be -3*(-3)\/j*-10. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 7b49aa (base 12) to base 3\nAnswer: 10201111122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*k**4 + 36*k**2 - 445*k wrt k?\nAnswer: 84*k**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -14*b**5 - 396734*b**4 - 1246788*b**3 - 1360100*b**2 - 566702*b - 56670 = 0.\nAnswer: -28335, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3223111 (base 4) to base 16\nAnswer: 3ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -192014416 divided by 48003604.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1 + -1.95\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6126 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 - 5*l**2 + 3*l - 5. Give o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 1:10 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3575 - 24985\/7. Let p = -275\/42 + v. Which is the nearest to 1? (a) 0.4 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(57)\/(sqrt(24)\/sqrt(8) - sqrt(3) - sqrt(3)) + -4))**2 - (0 + sqrt(1900) - (sqrt(1216) - (sqrt(1216) + 3))).\nAnswer: -2*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -5*t**2 + 1. Let i(a) be the first derivative of a**2\/2 + 128. What is q(i(d))?\nAnswer: -5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.9 - 5.9. Let v = -52 - -54.875. Let o = i + v. Round o to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1736 + 1971. Calculate the greatest common divisor of m and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 9. Suppose 0*g - 124 = -v*g. Suppose -3*z + 130 - g = 3*y, -161 = -5*y - 3*z. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3033, -8368, -13703, -19038, -24373, -29708?\nAnswer: -35043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1454 - 926. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of -y**3\/3 - 7*y**2 - 12*y + 7. Suppose -42*r = -40*r + 26. Let i be z(r). What is the nearest to i in 3\/8, -2, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 4 + 5)*(4*c - c + 5*c + (1 - 1 - 3)*(6*c + c + c)*(1 - 1 - 2 - 2 - 2 + 2 + (-3 + 4 + 0)*(-1 + 1 - 2) - 4 + 3 + 4)).\nAnswer: -400*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 14 = -2*r, 0 = 3*x + 3*r - 5*r + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.3 (b) -2 (c) 0 (d) -164 (e) -5 (f) -150\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35 + 38. Suppose -2*s - 2244 = 5*d - 7257, -4*s - 2987 = -l*d. Find the second derivative of d - 1001 - 23*y**4 - 6*y wrt y.\nAnswer: -276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (30 - 6 - 13)*(-4 + 4 + 3*j) + 3*j - 4*j - 4*j in the form l + a*j and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by -3*(-7 + 1\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 3\/(-1 - 10\/(-8))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - 113320212011?\nAnswer: -113320212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of -k**4\/4 + 2*k**3\/3 + 3*k**2\/2 - 2*k + 3. Let u be s(3). Let q = 7 - u. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*j + 11. Solve -12 = j*x + 3*b + b, 0 = 5*x + b + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -12804.3 + 780809\nAnswer: 768004.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*c - 7 = 4*c - 2*b, -2*c = -4*b + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 14822792 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: Does 101 divide ((-2 + -1)\/3)\/((-88)\/6520888)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of q**7\/7560 + q**6\/540 + q**5\/90 - q**4\/12 - 2*q**2. Let t(n) be the second derivative of j(n). Solve t(d) = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*y - 101*y**3 + 13*y + 90*y**3.\nAnswer: -11*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -45\/484? (a) -0.5 (b) -0.02 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 21) + (-19 + (-7 - -34) - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10845.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 3240 (base 11) to base 3.\nAnswer: 12212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-3 + -6 + 2 - -5) - -64?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -5 + 0 - 6*r + 2 + 3*r**2. Suppose -2*g = -50 + 58. Is m(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 14*x - 15*x. List the prime factors of 42\/70 + 272\/x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -147*p**2 - 8*p + 10. Let d be z(6). Let k = -2515 - d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -9 (b) -2\/31 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 7:04 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/28)\/(5 + (-160)\/35)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 2, -1, -1\/3, -5, -5897?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1198 + -5?\nAnswer: -11a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*h**3*k**2 - 1297*h**2*k**3 - 2*h**2*k - h*k**3 - 2*h*k**2 - 2*h - 219*k**2 wrt h?\nAnswer: 18*h*k**2 - 2594*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 39*m**2 + 25*m + 6. Let h(b) = 40*b**2 + 25*b + 7. Let g(n) = 6*h(n) - 7*w(n). Find the second derivative of g(f) wrt f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-255)\/153)\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.2, -2, -2\/5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6833.\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 42 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-8 - 13) + 14 - -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1209974 or 8469808\/7?\nAnswer: 1209974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of 1\/180*m**5 + 8*m**2 + 1\/144*m**4 + 0*m + 0 + 1\/720*m**6 + 0*m**3. Suppose u(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 69, 232, 493, 852, 1309, 1864?\n\"Answer: 49*j**2 + 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + 8 + -8 - (-6 - -1 - (-68 - 5)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 46*k**2 + k - 30. Calculate the smallest common multiple of 301 and g(3).\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2\/5 + 48*d\/5 + 49\/5.\nAnswer: -(d - 49)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 - 8 = u - 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 4*n**2 - 6*n**2 + n**2 - 1. Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 2*c - 4*c + 3, -3*h = 4*c - 19. Suppose r + 2 + 7 = s, c*r - 36 = -5*s. Solve -4*k = -s, 3*q + k = 4*k - 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ghhogqmgcqhhgmoghhqg. Give prob of picking 1 g and 2 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -15. Let y be (12\/78*-2)\/((-16)\/104). Solve b - 2 = a, 3*b = -y*a + s + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -32) + (1 - -9) + -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85998?\nAnswer: 2, 3, 11, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/(-12)*2)\/((-1)\/(-56)). Suppose k*i = 31*i - 3219. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 8*j + 2. Let m(c) = 9*c + 3. Suppose -3*r + 13 = -k, -3*r = -2*k - k - 21. Determine r*z(a) - 2*m(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of -3*s**4\/2 - s**3\/3 - 5*s**2\/2 - s + 216. Let k(h) = -7*h**3 - h**2 - 6*h - 1. What is -5*k(c) + 6*y(c)?\nAnswer: -c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.4 (b) 4\/13 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -3 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 337 a factor of 525051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of f**5\/12 + 2218*f**2. Let y(h) = 15*h. Determine y(q(z)).\nAnswer: 75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -251*r**3 + 72*r - 4 - 175\/4*r**5 - 20*r**2 - 795\/4*r**4 = 0 for r.\nAnswer: -2, -1, 2\/35, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -2\/9 (b) -0.2 (c) 0.07 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3460, 6922, 10382, 13840, 17296, 20750, 24202?\nAnswer: 27652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jwcujewwcjeueuguwuee. What is prob of picking 2 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, k: 4, s: 2}. What is prob of picking 4 k?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 g when four letters picked without replacement from {u: 3, g: 2, c: 9, v: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/4 + 9218\/44. Let r = c - 210. Do r and -2\/171 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2651 - 2654. Sort -1, 1, -2, b in descending order.\nAnswer: 1, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a - 242 + 7 - a)*(4*a**4 - 2*a**4 - a**4).\nAnswer: -a**5 - 235*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13990, 14047, 14152, 14317, 14554, 14875, 15292?\nAnswer: 15817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34660, -34684, -34690, -34654, -34552?\nAnswer: -34360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 60951 = 5334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 3\/15083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -80700*i**2 + 7904*i + 2 wrt i?\nAnswer: -161400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-2\/11)\/h)\/(h\/(h**2\/h)*h)*h\/(h\/(h\/(h\/h**(2\/7))))*h**(-2\/17) assuming h is positive.\nAnswer: h**(-1327\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*v + 50433 - 769044 = -129*v. What are the prime factors of v?\nAnswer: 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -18*u**3 + 4946*u**2 - 252920*u + 486200 = 0.\nAnswer: 2, 65, 1870\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 501753.\nAnswer: 3, 7, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 20\/70*(-76)\/(-8))*7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 132 = 65*a - 32*a. Let c(u) be the first derivative of -3\/7*u**2 + 4\/7*u - 16\/21*u**3 - 9 - 3\/14*u**a. Determine k, given that c(k) = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6708*v + 622096 = 3836*v for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 348526, 697055, 1045582, 1394107?\n\"Answer: -w**2 + 348532*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of -7*p - 3\/4*p**4 + 0*p**3 + 0*p**2 + 0. Let i(z) = z. Give i(u(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -104\/3161555?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -1.98. Let v = -0.26 + t. Let x = -0.06 + v. Put 0.3, x, 0.1 in descending order.\nAnswer: 0.3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2*y**2 + 2406754*y + 7220274. Determine r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 480 + -210. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -4*y**3 + 19*y**2 + 72*y + 1. List the prime factors of z(-8).\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -30, -3, -2\/7, 0.3, -0.027, 3 in descending order.\nAnswer: 3, 0.3, -0.027, -2\/7, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3266*t + 3266*t - 42*t**2.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.252 - 0.202. What is the nearest to 1 in 2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 7, 4, -1, -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 100 - 97. Solve 4*s = 3*w - 16, -s = 4*s - z*w + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 + -20. Let r be z*((-12)\/4 + 6). Let s = -3 + 6. Solve -9 = -s*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*r - 179 - 115 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -2002.0857 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/24 and -33\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 23 + 19*m - 16*m**2 - 58*m**3 + 18*m + 59*m**3 - 5*m**2. Let g be l(19). Solve -g*h - 36 = -4*i, 3*i = -2*h + 12 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 44\/5 in 0.11, -5.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*2\/4144*1268. Let a = -3\/74 + i. Factor 0 + a*c - 2\/7*c**2 - 2\/7*c**3.\nAnswer: -2*c*(c - 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/6, -0.9362, 7\/15 in increasing order.\nAnswer: -0.9362, -5\/6, 7\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 3*t - 2*s, t + 2*t + 2*s - 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -49*f - 286. What are the prime factors of d(-22)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/5? (a) -0.4 (b) -37523 (c) 0.6 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -21692, -22429, -23166, -23903, -24640, -25377?\nAnswer: -26114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + j + 2*j)*(-49*j + 24*j - 47*j).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -49159\/16 - -3071. Find the common denominator of k and 71\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4351246 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 366 - 90 = 46*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62926 divided by -76.\nAnswer: -31463\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.6 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/8 in -1, 7, 262, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -5*v - 23, 2*x - 5*v - 38 + 12 = 0. Sort x, 1, -2.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3192905, -6385810, -9578721, -12771638, -15964561, -19157490?\n\"Answer: -3*y**2 - 3192896*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11473019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m - 3. Let f(c) = 1695*c + 1696*c + 1689*c - 5079*c. Give 4*f(t) - r(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 26 - 12. What is the units digit of 2\/(z\/(-8) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 4.2. Suppose 4*k + 1548 = 5*g, -2*g + 4*k - 3*k = -618. Let b = g - 311. What is the second biggest value in -5, -1\/3, b, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:53 AM and 3:02 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -14.565434736 rounded to four decimal places?\nAnswer: -14.5654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 151410201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -26, 4, 3, -3, -24, -10, 5 in increasing order.\nAnswer: -26, -24, -10, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 8:01 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 - v**2 - 13*v + 10. Let x be f(-10). What is the tens digit of (x\/100)\/((-6)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/6 - 4722\/(-9). Suppose 0 = 6*n - n - u. Suppose 5*z + 4*a + 0*a = n, 0 = 5*z - a - 130. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the first derivative of 0*q**2 + q + 1\/3*q**3 + 2. Let i be s(-2). Solve -2*j + 0*j = -u - 4, i*j = -u + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m + 12*m - 5*j = -21, 4*j = 3*m - 6. Let r(h) = h**3 - 5*h**2 - 5*h + 7. Calculate r(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -2*r**2. Let w(s) = 19072494*s. Give f(w(y)).\nAnswer: -727520054760072*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -601*w**2 - 226238606565*w + 226238606565*w.\nAnswer: -601*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2573967936.\nAnswer: 2, 3, 1423, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 8. Suppose 0 = -o - q + 6, 5*o - 4*q - 2 = -b*q. What is the third derivative of 1 - 2*h**5 - 1 + h**o wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 12:44 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:11 PM and 11:35 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8546 + 8536. Sort 4, -3, n in descending order.\nAnswer: 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4216990349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31264 divided by 6.\nAnswer: 15632\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence st when two letters picked without replacement from sstsccsicscstcssttss?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -239.8362 times 103?\nAnswer: -24703.1286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 170324 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -12*k**3 - 32*k**2 - 337*k + 10. Let y(x) = 5*x**3 + 16*x**2 + 169*x - 4. Let h(f) = -2*v(f) - 5*y(f). What is the second derivative of h(u) wrt u?\nAnswer: -6*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 49, 204, 463, 826?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-19)*(3 - 4). Let n = -3.8 + 4.3. Put n, 4\/7, y, -2\/5 in descending order.\nAnswer: 4\/7, n, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - -16. Let f(x) = -4 + 13*x - w*x - 1 - x**2. Let a be f(-5). Solve a*t = 5*n - 2*t - 20, 3*n = -t + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-4) + 2\/(-8). Suppose 0 = 2*d - 4 - o. Suppose -14 = -4*k + d. Solve -2*l + l = -k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -21*q**2 - 1009*q - 99. Determine s(-48).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) -9 (c) 6\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the second derivative of n**6\/6 - 5*n**5 - 5*n**4\/12 + 50*n**3\/3 + 893*n. What is x in o(x) = 0?\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97453103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -45.4 - -323.4. Let n = u + -278. Put 11, -3\/4, 0.4, n in increasing order.\nAnswer: -3\/4, n, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 7*a**2 - 4*a - 2. Let d(w) = -w**2 + w. Let f(k) = -c(k) - 3*d(k). Let p be f(-1). Let s(q) = 2*q**2 + 4*q + 1. Give s(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 4 = -5*c + 11, 4*c + 24 = 5*k. Solve 0 = k*d - 23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -5400, -5398, -5394, -5388, -5380?\n\"Answer: j**2 - j - 5400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**4 - 4*f**4 + 3*f**4 + (-5*f**2 + f**3 + 5*f**2)*(-1 - 2*f + 1) - 2*f**4 - 2*f**4 + 2*f**4)*(f - 1 + 4*f - 2*f).\nAnswer: -18*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 3*d - 5. Let k be v(5). Let p be k\/20 + 0 + 0. Let t = -2 - -1. Which is the smallest value? (a) t (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 622 - 656. Let w(v) = -v**3 - 34*v**2 - v - 31. Let p be w(z). Solve 18 = -6*o - p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -28891 (base 12) to base 9.\nAnswer: -85521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 104 and 2490683.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -163, -584, -1267, -2212, -3419, -4888, -6619?\nAnswer: -8612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 355555527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 284 and -70.\nAnswer: -19880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 4251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/6 + (-1)\/(-21). Let d = -1516 + 10615\/7. Let j = 6.11 + -0.11. Sort v, d, j, 5.\nAnswer: v, d, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a + 1. Let u be v(2). Suppose u = -4*l + 3*y, -5*l + 2 = 2*y - 0. Suppose l*q + r - 26 = -3*q, q = -3*r - 2. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/25, 138, 13, -0.293, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -3\/11 (c) 1855 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1870 and 165?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 - 10*j + 4. Let d be i(10). Suppose 0 = 4*f + 2*o - 22, -2*o + d = 2. What is the second derivative of t**2 + t + 0*t - t**2 - 3*t**f wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 30 and 93?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-330.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 4 - 1 = 3*x, -7 = -2*x - 3*d. Let t = 16 + -10. What is the derivative of -1 - s - 3*s - t*s**x + 4*s wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 6*t + 5. Let i(w) = -5*w - 4. Let z(h) = 4*g(h) + 5*i(h). Let y(f) be the second derivative of -1\/3*f**3 + 6*f + 0*f**2 + 0. What is z(y(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -14 + (2 - 20) + 81\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -585 + 898. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91381543 plus -282187.3?\nAnswer: 91099355.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -25\/2*r - 5\/2*r**2 + 0.\nAnswer: -5*r*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ommrmygporgyygrm. Give prob of sequence gryr.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 69*1 - 4\/(-12)*0. Let t be 23\/2*(3 - -1). What is the highest common divisor of t and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**2 - 2*n - 4. Let w(z) = 2*z**2 - 2*z - 4. Let x(y) = -7*a(y) + 6*w(y). Let m = 60324 - 60321. Calculate x(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxyyxyyyxy. What is prob of sequence yxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5468.866 + 5459. Let s = u + -0.034. What is s rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 7:26 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 2*t**2 + t**2 - t**2 + 2*t**2. Let c(m) be the second derivative of -7*m**3\/3 - 215*m. Determine s(c(g)).\nAnswer: 784*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4033 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22023 - 4?\nAnswer: 22016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 + -2 - 1) + 4. Suppose 0 = -2*q - 5*o + 73, -2*q + x*q - 137 = -2*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10627562, -10627558, -10627554?\nAnswer: -10627550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 61 + -1856. Let o = -781 - k. Let g = -1014.000000811 + o. What is g rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -296, -312, -354, -434, -564, -756?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**3 + 535*m**2 - 530*m.\nAnswer: -5*m*(m - 106)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 61112301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.2 + 2.3. Are y and -0.47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 750 = 2*b. Let u be b*((-112)\/(-24) + 2\/3). Round u to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 312 (base 13) to base 4.\nAnswer: 20022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose z**2\/4 - 119*z\/4 + 339\/2 = 0. What is z?\nAnswer: 6, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 246939 and 35574?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 818 - 868. Let r = 353\/8 - 751\/8. Let u = r - x. Which is the nearest to u? (a) -5 (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes before 11:31 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5\/8, -0.2, -5, 7\/1430?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -73 - -75. Solve -3*r - b = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 28 - 19. Let i be (3 - 33\/9) + 168\/f. Solve 0 = 2*w + 2*y + i, w - 2*w + y - 1 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 24\/(-9) + 2\/(-6). What is the tens digit of z\/(-3 - 0) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-258)\/(-48) + -12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5866304?\nAnswer: 2, 71, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 3075 divide 159604800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -317 + 549. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 171478 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6331 + -4?\nAnswer: -6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + d + 2*d + (-3 + 0 + 2)*(2*d + 2*d - 2*d) - 2*d - 2 + 2)*((4 - 3 + 1)*(-3*d - 4*d**2 + 3*d) - 269*d + 2 + 535*d + 44*d**2 - 264*d).\nAnswer: -72*d**3 - 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-12))\/((-6)\/(-99))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 148, 0, 4, 1 in ascending order.\nAnswer: 0, 1, 4, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 143 = 6*f - 10, 38 + 53 = -3860*c + 3857*c + 4*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 394 is divided by 197.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1293020 rounded to the nearest ten thousand?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*x - 46*x - 4*n + 114828 = 0, -3*x + 86146 = 8*n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 - 2)*(-a**3 - 2*a + 2*a) + 365*a**3 + 4399 - 4399.\nAnswer: 366*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p*p**(-1))*p)**(2\/13)\/(p**6*p**(3\/7)) assuming p is positive.\nAnswer: p**(-543\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 649*x = -643*x + 18468 + 40964 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 233055*i*x**3 - 24*i*x**2 - 621*i*x + 36*i + 4*x + 2 wrt x.\nAnswer: 1398330*i*x - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 818641 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 26.49556um to meters.\nAnswer: 0.00002649556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -252*u - 47873. Determine d(-190).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 32, -5, 0.5, 45, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in 2\/19, -7\/5, 0.2, 0.07, -1\/3?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (18\/63)\/(1\/7). Suppose 1 = q - 4*w, -q = -2*q + l*w + 1. Solve 5 - q = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -145 + 428. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 104 and 85616648?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 41826280 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + 8*m**2 - 2*m - 11. Is h(-8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 716\/35, -11.87, 3 in ascending order.\nAnswer: -11.87, 3, 716\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 51, 70, 69, 42, -17?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of -95*s**4 - 1\/30*s**6 + 4000*s**2 - 7 - 59\/20*s**5 + 11*s - 3400\/3*s**3. Factor g(j).\nAnswer: -(j - 1)*(j + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(3\/8)*m**(1\/23))\/((m\/(m**(-7)*m))\/m**(-10)) assuming m is positive.\nAnswer: m**(-3051\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, r: 2, z: 1, y: 1, h: 1, x: 1}. What is prob of sequence hys?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6804502, -6804516, -6804540, -6804580, -6804642, -6804732?\n\"Answer: -n**3 + n**2 - 10*n - 6804492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**(-2\/7)\/i))**(-1)*(i**0)**(1\/77)*i**(7\/5)*i\/(i*(i\/(i**(-3\/5)\/i))\/i)*(i\/(i*i*i*(i*(i\/(i*i*i**2*i)*i*i*i)\/i)\/i)*i)**(-1\/8) assuming i is positive.\nAnswer: i**(-731\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -45 (b) -2.1 (c) 381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-3))**44*y*y**(4\/9)*y*(((y\/(y\/y**(1\/12)*y*y))\/y*y)\/y)\/y assuming y is positive.\nAnswer: y**(-3221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (144\/80)\/(3*((-751)\/(-75) + -10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -772 (base 8) to base 6.\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83 - 107 - 107 - 1266*i**2 + 296 - i.\nAnswer: -1266*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -3*j - j - 10*j - 6 + 4*j. Let n(x) = -3*x - 2. Let c(q) = 2*f(q) - 7*n(q). Suppose -2*k - 3*k = 15. Calculate c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -54 - (-71 - 6579\/(-391))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from {k: 8, i: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1024 + 3*q**3 - q**3 - q**3 + 912 + 0*q**3.\nAnswer: q**3 - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 340*v + 261*v - 290*v in the form z + u*v and give u.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**2 - 5*a - 11. Let y be g(-3). Let s = 57 - 55. Let v(i) = -4*i + 3. Let j(u) = u - 1. Let r(l) = s*v(l) + 9*j(l). Give r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 296 + -292. Calculate the highest common divisor of f and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*((x\/x**(2\/5))\/x)\/x)\/((x*(x**3*x*x)\/x)\/x))**(3\/4) assuming x is positive.\nAnswer: x**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 38144 and 928.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*d - 18*d = 5*g + 22, -40*g + 42*g + 10 = -0*d - d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 232087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -337 divided by 337.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 8) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-13 + 11)\/((2\/5)\/(-1)). Suppose -g + 5*c = -220, -2*c + 0*c + 1046 = t*g. List the prime factors of g.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-12)\/(-36))\/(2\/276). Let w be 0 + 4 + o\/(-10). Let v be -1 + (-16)\/6 + -18 + 21. Which is the biggest value? (a) v (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 - 3*s + 8. Let f be d(-16). Suppose f*h = 317*h - 3080. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 4*l**3 - 5*l**2 - 11*l - 2. Let p(o) = 7*o**3 - 9*o**2 - 24*o - 5. Determine 2*p(h) - 5*q(h).\nAnswer: -6*h**3 + 7*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2*v**2 - v - 11. Let h be o(-4). What is h rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4149 - -455. Let l = w + 3691.973. Let b = l - -1.94. What is b rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -507*x**3 + 101049*x**2 - 31056*x + 2388 = 0?\nAnswer: 2\/13, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2765349 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (20 - (-498)\/(-25) - 52\/25) + 7. Suppose -45*a**3 + 95\/4*a**4 - 20*a - q*a**5 + 85\/2*a**2 + 15\/4 = 0. Calculate a.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1008) + -1 + sqrt(1008)*2 + -4 - (-6*sqrt(1008)*1 + 0)) + -4)**2 + 1.\nAnswer: -1944*sqrt(7) + 81730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, s: 4, z: 6}. What is prob of picking 3 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -669, -1357, -2063, -2793, -3553, -4349, -5187, -6073?\nAnswer: -7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = 3*h + 47, 4*g - h - 627 + 598 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the second derivative of c**4\/12 + 2*c. Let q = -65 + 74. Let p(w) = 24*w - 13*w + q*w. Give p(x(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x - 53. Let r(t) = -2*t - 52. Calculate -2*r(z) + 3*u(z).\nAnswer: z - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = x - 26. Suppose x + 6 = 4*k. Suppose k*m + 5*c - 196 = 0, 2*m - 98 = -4*c - 0. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 2*i + 2. Let s = 5 + i. Suppose j = -5, y = -3*y + s*j + 31. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37714?\nAnswer: 2, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -5 + 3 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 100455*w**3 - 6*w**2 + 6*w + 6. Let h be k(5). Let u = -1356761 + h. What is u rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -81.7 + 87. Let h = 0.03 - 0.33. Let t = h + z. Sort t, 2\/13, -1\/2 in decreasing order.\nAnswer: t, 2\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295125 is divided by 147547.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z - 1. Let q(k) = 7*k + 4. Let j(o) = -q(o) + 6*w(o). Let r be j(-5). Let x = r - -13. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*s**3 - 18*s**3 + 152*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-280)\/(-196)*4200\/250.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*h + 5104 = 16024. Calculate the greatest common factor of h and 1274.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2488*n - 2442*n = 30 + 890 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21318 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -27*f + 2. Let x be q(-1). Suppose 8*d + 5 = x. Solve 2*p + 5 = -d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -7304 = -1054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -444079, -444082, -444085, -444088?\nAnswer: -444091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**6\/300 + p**5\/50 - p**4\/24 + p**3\/30 + 4*p. Let s(f) = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 975\/2 + -488. Let n be 1 - 2\/(-1 + 3). Are n and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.13 - 5.87. Let l = 1512 + -1517.998. Let z = y - l. What is z rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n**2 + 7097904*n + 3148765074576 = 0. What is n?\nAnswer: -887238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 82, -4, 3\/4, 2\/3, 0.2 in ascending order.\nAnswer: -4, 0.2, 2\/3, 3\/4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -37 - -39. Solve 2 = 2*i + 2*s, s = -5*i - h*s - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -45*k + 2*k**3 + 23*k + 9*k**2 + 24*k in the form m + v*k**2 + h*k**3 + r*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/55)*s**(5\/11)*s)\/(s**(-3\/11)*s*s\/s**14))**(-4\/15) assuming s is positive.\nAnswer: s**(-3028\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11011 + -1?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (12\/(-10))\/(13\/5 - 3). Suppose 4*y - 2*h + 3 = 33, -y - q*h = 10. Solve 3 = 3*b + 2*v, -v = 2 - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 8, -3*n = -v - v + 64. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 162 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + 6*u. Suppose -5*b = -36 + 41. Let l(f) = 8*f**2 + 4*f - 1. Let t be l(b). Let n(p) = p**2 + 5*p. Give t*r(i) - 4*n(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -27, -23, -19, -15?\n\"Answer: 4*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10.2 - 19. Let n = -1.7 + c. Let g = 11 + n. Put -2\/13, 0.3, g in ascending order.\nAnswer: -2\/13, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -4. Suppose -196 = -j - t*j. What is the remainder when j is divided by (2\/3)\/(4\/102)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11418614?\nAnswer: 2, 5709307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*d - 7 - 1 + 8.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 26 + 22*f + 9 + 11.\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 58 = 5*d. Suppose 2*l - d = -20. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - 0. Suppose 0 = -g*t + 3 + 9. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.859 + -3.271. Let c = s + 29.03. What is c rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 25*j**2 + 2*j + 1. Suppose 0 = -5*u + 4*u + 3. Let w be f(u). Let g = w + -80. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11563 - 69311\/6. Calculate the common denominator of f and 5\/2082.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4770899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 440 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8.51 and 396?\nAnswer: 3369.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 804437 is divided by 133964?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 48 = -d, d = -5*l + 3 + 57. Calculate the remainder when (-5)\/4 - (-1395)\/60 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - n = -2, 8*n = -2*b + 3*n + 10. Put b, -3, 4, 5 in descending order.\nAnswer: 5, 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 32406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of -y**7\/98 - y**6\/35 + y**4\/14 + y**3\/14 - 475*y. Let s(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 29, 114, 253, 446, 693, 994?\n\"Answer: 27*f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f**2 + 0*f**2 - f**3 - 2*f**4 - f + 2*f**2 - 3*f**2 to v*f**4 + m*f**2 + d + n*f + i*f**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6715060 + 352.\nAnswer: 6715412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 57556222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7696 + 2*n - 14735 + 14446 - 7736*n**2 wrt n?\nAnswer: -15472*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -2*y**3 + 61*y**2 + 51*y - 35. Is a(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -29, -1, -20 in descending order.\nAnswer: -1, -20, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 209*t + 12561. Calculate p(-60).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*b*g**2 + 5*b*g - 2*b + g**4 - 19*g**3 - 679*g wrt g?\nAnswer: 20*b + 12*g**2 - 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*g**2 - 25*g**2 - 15*g**2 + g**2 - 8*g**2 + 6 - 4 + 28*g**2.\nAnswer: -33*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -27, 1, -3, -5 in descending order.\nAnswer: 3, 1, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-32)\/48 + (-4)\/(-6). Solve -g - 14 = -4*y, f = 2*g - 2 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aadadd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 AM and 3:51 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 502132*t + 502134*t - 1004260*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0749 - -80.2749. Let x = m + -80. Let y be (-9)\/(-6)*(-20)\/15. Which is the fourth smallest value? (a) 0.5 (b) y (c) x (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30202034 + 20007034. What is x rounded to the nearest 100000?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/14 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -232, -162, -92, -22, 48?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 86949743, 173899503, 260849263, 347799023, 434748783?\nAnswer: 521698543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 3*b + 11 = 0, 12 = -44*r + 39*r - 2*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 136147.3*2\nAnswer: 272294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -3*k - 1. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j - v + 10 = -9*j, 0 = -3*v + 12. What is the remainder when 502 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 132 = 3*j - 464, 2*c - 4 = 0. Let d = j - 23. Calculate the remainder when d is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -119*w + 593. Give m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the third derivative of -z**7\/210 - 13*z**5\/60 + z**4\/12 + 10*z**3\/3 + 2*z**2 + 7. What is the second derivative of q(k) wrt k?\nAnswer: -12*k**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(((-255)\/(-10))\/(-17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.7 and 23.39.\nAnswer: 24.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -b + 2*b. Let l = -9160 + 9166. Suppose -32 = -4*g + 88. Solve c + 5 = 0, g = b*d + 2*c - l*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6491*x + 1362*x - 2044 - 5374 = 8288 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 9*g - 18. Let z be ((-1 + -1)\/((-14)\/7))\/1. Let t be c(z). What is the nearest to t in -1\/2, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, 49, 57?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 28 + 5 = -2*l, -5*l = 4*f - 8. Suppose -d - l*m = 12, -5 + 1 = 2*d + 3*m. Suppose 0 = -p + t + 12, -2*p - 4*t = -d - 20. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1307591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 5:16 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a**2 - 17*a - 33. Let u be m(-4). Suppose -3*i = 5*x - 31, -3*i + x = u*x - 16. Solve -4*t + w - i*w = -2, -2*t + w = 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 363 a factor of 752339643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -110 - -257. Suppose k = -4*j + 43, -5*k - 5*j = 7 - q. Solve -4*u - s = k - 5, 0 = 5*u + s + 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23178892?\nAnswer: 2, 11, 43, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 4 = 4*k, -18*o - 2*k + 2 = -17*o. Is o at most -3\/1517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yhj when three letters picked without replacement from hyfyxjxhxxfxyfxfx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.16279675785 to 4 dps.\nAnswer: -0.1628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 95 - 36. Let w = 415\/7 - k. Factor -2\/7*d**2 + 0 - w*d.\nAnswer: -2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i**5\/7 - 474*i**4\/7 + 3522*i**3\/7 + 3718*i**2 + 39600*i\/7 + 17568\/7 = 0. Calculate i.\nAnswer: -244, -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 6*j**3 - 2*j**2 + 3*j - 2. Let p be 49\/14*2\/7. Let m be w(p). Suppose -f = -m - 0. Calculate the lowest common multiple of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 32*c + 66*c**4 + 22*c - 2*c**3 - 144*c**4 + 54*c**4 wrt c.\nAnswer: -288*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvwqvvwwqwv. What is prob of sequence vwv?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1453721745.\nAnswer: 3, 5, 7, 13844969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 5. Let s be (-122)\/t - (-4)\/10. Let j = s + 35. Calculate the highest common divisor of j and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the third derivative of -j**4\/24 + 3*j**3\/2 - j**2. Let l be n(4). Suppose 0 = -f + 6*f + 2*y + 2, 4*f - l*y + 28 = 0. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.02 - -99.02. Let l = z + -96.99953. Round l to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 9:21 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 5:22 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + 12 + -7 + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, q: 10}. Give prob of sequence qqi.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -2\/7, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/27496 and 85\/2604?\nAnswer: 2557128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 140*i**3 + 8 - 12 + 4 - 71*i**3 - 92*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 8:02 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*d + 11*d - 6*d)*(-12*d**4 - 9*d**4 + 0*d**4) - 2*d**5 - 1 + 1.\nAnswer: 145*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (18\/36)\/(2\/132). What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3\/2222 and 71\/472.\nAnswer: 524392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 779000 to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29115 - 11222. What are the prime factors of z?\nAnswer: 29, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 635 - 666 = -5*g + 2*v, 6*g - 38 = 2*v for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 80.04 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 5:25 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25126.84 decades in months?\nAnswer: 3015220.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1444867*y = 1444902*y + 2030 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = -7*x + 143. Let r = 16 - 31. What is the lowest common multiple of x and 10\/r*(-3)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2779132.\nAnswer: 2, 694783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 2:56 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 862, 1708, 2554, 3400, 4246?\nAnswer: 5092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -5*j - 97. What is the hundreds digit of o(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -443051\/134 + 3306. Calculate the common denominator of l and -37\/2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 870 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.07 (c) 2 (d) -2 (e) 2\/9 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -480963, -963836, -1446713, -1929594, -2412479?\nAnswer: -2895368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 526 + -320. Let b = v - 122. Suppose 3*k - k - o - 68 = 0, -3*k - 3*o = -b. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 116 in -0.5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 61\/(-427) + 0 + (-8)\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3626, 0.4, -3 in ascending order.\nAnswer: -3, -1, 0.4, 3626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -40*n + 34. What is h(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -r**5\/20 - 3*r**4\/4 + 2*r**3 - 3*r**2\/2 - 3*r + 8. Determine f(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*h**2 - 8*h**3 - 2 + h**3 + 8*h**3 as q*h**2 + v + f*h + g*h**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41375?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(4032) + -1 + sqrt(4032) - sqrt(4032)) + 4*(4 + sqrt(343) + sqrt(343)) + sqrt(343)))**2.\nAnswer: 10440*sqrt(7) + 212832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5\/4*n**3 + 1\/12*n**4 + 5\/4*n - 185\/12*n**2 + 46\/3 = 0. What is n?\nAnswer: -8, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q - 2. Let x be z(9). Let i(a) = a**3 - 7*a**2. Let m be i(x). Suppose m = -2*b - 423 + 2223. What is b rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6928 + -6786. Solve 136 - s = -i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 264373 and 4167?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s - 4*s + 20. Let c = 10 + -8. Solve 0 = -n + 1, s*u = c*u - n - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -2*x - 45 + 45. Let v(t) = 2*t + 7*t - 2*t + 4*t. Determine g(v(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19516 + 19769 - 11*b + 11*b + 4*b.\nAnswer: 4*b + 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 115 divided by -5315249.\nAnswer: -115\/5315249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 2 = -4. Let g = i - -11. Suppose 4*j + 24 = 8. Put g, j, -5 in ascending order.\nAnswer: -5, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 98174854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + -1. Let w = -726159 - -726154. Which is the nearest to q? (a) 2 (b) -3 (c) 0 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*y + 7. Suppose 1 + y = f. Suppose f*l + 2 = 4*l. Solve 3*w - 1 - l = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 32. Let b(u) = 8*u - 17. What are the prime factors of b(t)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -211002222 (base 3) to base 9\nAnswer: -24088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 6*j - 16. List the prime factors of k(19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -275, -240, -179, -92, 21, 160?\n\"Answer: 13*z**2 - 4*z - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.34 - 0.284. Let v = -1.056 + d. Suppose 0*m = m - 5. Which is the second smallest value? (a) v (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -8, 0.2, -2\/121?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d - 2. Let m be o(-5). Let t(q) be the first derivative of 0*q**m - 2\/5*q**5 + 0*q**4 + 0*q**2 - 2*q - 2. What is the derivative of t(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1580.807 to the nearest 10.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*y = r - 8*y + 40, -2*y - 12 + 16 = 0 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 - 14. Let u be (-6)\/m + 10 + -11. Suppose o = 3*n - 15, o + 4 = 2*n - 6. Sort -4, o, u in decreasing order.\nAnswer: u, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -147073901*i**2 - i - 7004881 wrt i?\nAnswer: -294147802*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide (-16*(-3)\/15)\/((105\/(-250))\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/5 + 41*y - 1194\/5.\nAnswer: -(y - 199)*(y - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/170 and -79\/140.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -106*p + 137?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -176 + 209. Calculate the highest common divisor of 231 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -34 - -23. Let v = 13 + l. Let z be (-659996)\/(-20) + v\/10. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1, 6 in descending order.\nAnswer: 6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -469499 (b) -0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -284*b**2*i**2 + 109*b**2 + 2*b*i**2 - 55927*i**2 wrt b?\nAnswer: -568*b*i**2 + 218*b + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6618 divided by 6?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - -1)\/(-9 - (-99)\/9). Suppose l = 5*m - 15, -13 = 6*q - 8*q - m. Solve -q*w - 7 = -5*s + 8, 4*s + w + 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - 0*3\/(-9). Let v(s) = s - 5. Let m be v(5). Let k = t - m. Let u(l) = 6*l**2 + l + 1. What is u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffmffiimffiimim. What is prob of picking 2 m and 2 f?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as 3\/276332278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -x**6\/60 + x**5\/50 + x**4\/5 + 4*x**3\/15 - 36*x**2. Factor d(w).\nAnswer: -2*(w - 2)*(w + 1)*(5*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -10*s**2 + 11*s - 35. Let j(a) = -4*a**2 + 3*a - 12. What is -3*b(f) + 8*j(f)?\nAnswer: -2*f**2 - 9*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4423.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do 3158\/3565 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 20 = b, b + 12 = 5*l - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-608)\/22)\/16*(-11)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-150))\/(83\/747*78\/(-13)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, 4, -6\/11, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -1232112210?\nAnswer: 1232112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/6 + 141\/(-9). Let g be (j + -2)\/(6\/(-102)). Suppose g = 5*u + 34. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2238704 divided by 229.\nAnswer: 9776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 62508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 0)\/(0 - -1). Let k = 2 + 4. Let x = -6 + k. What is the nearest to d in x, 2\/3, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -93091 = 5582*x + 349581 + 42962 for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-18)\/9*(-35)\/(-14). Let c(r) = 6*r**2 + 4 - 2*r**3 + 4*r**3 - r**3 + 4*r. What is c(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = w - 0*w - 3*o, -4*w = 5*o - 86. Sort -5, 0, w in decreasing order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eeqqqppqqpep?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-67)\/2)\/((-1)\/4). Suppose j = 2*a - 46. What is the highest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/174 in -47\/2, -87, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -286 - -667. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 842*z - 2226 + 24960 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 AM and 4:33 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand f**5 + 0*f**5 + 0*f**5 - 4*f**5 + f**5 + 2*f**5 + (-2 + 2 + 2*f)*(-f**4 - f**4 + 4*f**4) + 3*f**5 + 1 - 1.\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4 + c**3 - c + 1\/4*c**2.\nAnswer: (c - 1)*(c + 1)*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4107.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.32 + 16.15. Let n = m - 13. Let t = n - -0.17000028. Round t to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**6*y\/(y**(-8\/7)\/y)*((y**(-7)\/y)\/y)\/y*y*y**(-4))**(4\/5) assuming y is positive.\nAnswer: y**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f\/(f\/(f**(-9)\/f)*f)*f*f**12)\/((f**(1\/2)\/f)\/(f*(f*f*f\/((f*(f\/((f**(3\/8)\/f)\/f))\/f*f)\/f))\/f*f)))**(-11\/8))**17 assuming f is positive.\nAnswer: f**(-7293\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 167 - 161. Find the third derivative of 87*a**2 - w*a**5 - 3*a**6 - 61985*a + 61985*a wrt a.\nAnswer: -360*a**3 - 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 6*a + 4*w - 100, 5*w = -a + 41. Calculate the greatest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -432, 2\/7, -27320.\nAnswer: -27320, -432, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*i = 34*i + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 20*g - 1050 = 0, -15*u - 3*g - 46 - 100 = -13*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - 0. Let i = 0.403 + -0.033. Let y = -0.03 - i. Which is the second biggest value? (a) y (b) f (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 - 22*h**2 + 24*h + 39. Does 6 divide w(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1777*g**3 - 6196*g**3 + 16*g**2 - 8449*g**3 - 16*g**2.\nAnswer: -12868*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1011101010 (base 2) in base 7?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -95 - -90. Which is the fourth biggest value? (a) 49 (b) -2\/5 (c) -0.3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/(-18) - 14377\/(-99) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (-1 + (7 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2341*i**3*k**2*x + 3*i**3*x**2 + i**3*x - 39*i**2*k**2*x**2 - 919*i**2*k*x + 7*i*k wrt k.\nAnswer: -4682*i**3*x - 78*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/((-3)\/(-186) + 0). Let q = h + 99. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -417 + 438. Let t = i + 162. List the prime factors of t.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 3. Suppose -m*w + s + 11 = -0*s, -2*w + 4*s = -2. What are the prime factors of (-1)\/w - (-93)\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11\/((-55)\/120) - (1 + 1). Let w = -138 + 97. Let h = v - w. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 4 = 5*c + 2*m, m = c. Let f = c + -1. Is f <= -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3812 divided by -4?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*a**5 - 6*a**5 + 3*a**2 - 8*a**5 + a**2 wrt a?\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 368888486 + -368888489.40027787. Let r = -3.1802777 - w. Let p = -0.22 + r. Round p to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 3*x**2 - 7*x - 4 + 8*x**2. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0323012256 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 61\/7, 0.0461, -2, -0.2, -2\/27 in increasing order.\nAnswer: -2, -0.2, -2\/27, 0.0461, 61\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 23618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31 + 34. Calculate the smallest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 + 694*z + z**2 + 224 - 582*z + 235 + 3*z**2 = 0. Calculate z.\nAnswer: -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-21)\/(-63))\/(2\/(-3)))\/((-8)\/(-24)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 129 - 15 - 3*y - 5*y - 4*y + 16. Let b(g) = 5*g - 65. Let z(d) = 5*b(d) + 2*h(d). Let k(v) = v**2. What is k(z(n))?\nAnswer: n**2 - 130*n + 4225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6*((-4)\/12)\/(3\/(-6)). Let d be ((-6)\/3 + 0)\/2. Let l = 1 - d. Sort 0, o, l in decreasing order.\nAnswer: o, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 562\/(-6) + (-22)\/(-33) - 4. Let o = d + 100. Solve -3*j - 4*m = -2*m + 18, -3*j - 21 = o*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -32 + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 PM and 11:13 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/9*-18 + -359259. Let r = h - -201453. What is r rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 3*q + 3, 0*q = -4*q + 2*f - 4. Let x = q - 2. What is the units digit of 1\/((2 + x)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 269287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - b - 1 = 0, -5*r + 0*b = 4*b + 4. Let o = 8\/3 + -7\/6. Let s = o - 1. Are s and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -7 + (2 - 1 - 0). Let j be (-21)\/(-6) + u\/(-4). Solve 5*i = 3*n - 15, -2*i = -i - n + j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 + -1. Suppose -r*u = h + 12, -2*u = -0*h - 2*h + 12. Let 3*a**2 + 5 - 3 + 11*a**2 + 10*a + 3*a**h + 3*a**3 = 0. What is a?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 b when four letters picked without replacement from xxbxbxxbxbbbxxbbbbx?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-2*2*(1*sqrt(1053) + 5)*-1*-6 + 4).\nAnswer: -648*sqrt(13) - 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -13\/40 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/4)\/(3\/60). Let r be (-4 + 2)\/(-2) - 214\/(-38). Let w = r + 439\/57. Is w bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 925\/5514 + -1\/919. Let t = 3 + -7. Sort 0, t, -2, d in decreasing order.\nAnswer: d, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 192*q**3 - 144*q**2 - 45*q - 3 = 0.\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 312\/208 + (-26 - 195\/(-2)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 9*u + 44. Let k be r(-5). Let b be k\/((-3)\/(18\/6)). Solve a + 6 - b = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 9\/15*17\/((-408)\/80)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 - 2*r + 27. Let s be l(-6). Let x = s - 2. Suppose 0 = -b + x, 52 = -5*i + 6*i - 4*b. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 270644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f**2 - 4*f**2 - 3*f**2)*(-3*f + 5*f + 0*f)*(-2*f - 8 + 8).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -11*d + 6*d - 1, d + 3*x + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 513*w. Suppose -5*l = 25 - 0. Let s(t) = 24*t + 16*t - 18*t + 19*t. Let v(a) = l*g(a) + 63*s(a). Let i(x) = -2*x. Calculate v(i(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-14)\/q*q**(-3\/11)*q**21\/q*q**(2\/9)*q assuming q is positive.\nAnswer: q**(589\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(208)*-3 + -5)*-6 + 1 + 4 + 4*sqrt(208))**2 + -3.\nAnswer: 6160*sqrt(13) + 101898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*c - 12. Suppose -c*s = -0*s. Let v = s - 0. Is v smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1767 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 556815 is divided by 5987?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -123 by -128.\nAnswer: 123\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of -11*g**7\/10 - g**5\/12 - 1323*g**4\/8 - g**2 - 156*g. Find the second derivative of w(r) wrt r.\nAnswer: -2772*r**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 363 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2 - 6 - 3 + x**2 + 6. Let y(o) = -5*o**2 + 5. Give 3*g(q) + y(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -101 + 231. Let q = w - 130. Solve q = -4*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*a + 763846 - 2478301 = 0. List the prime factors of a.\nAnswer: 31, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2801 + -3156\nAnswer: -3155.7199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m**2 - 2*m - 6. Let f(n) = n**2. Let s(g) = -g**3 + 3*g**2 - 3*g - 7. Let u(o) = 5*f(o) - s(o). Determine -3*r(a) - 2*u(a).\nAnswer: -2*a**3 + 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-3\/10))**44)**(-2\/89) assuming i is positive.\nAnswer: i**(-572\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 11. Suppose o = -2*u + 2*i + 26, -5*u + 68 = -0*i - 2*i. Let w = 21 - u. Calculate the remainder when 12 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*g = -i - 3 - 11, -5 = 2*i - g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 8\/9 (b) -2 (c) -2\/5 (d) 0.2 (e) 3\/2 (f) -1116.4 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3423*n**3 - n + 8*n**2 - 5372*n**3 - 16*n**2.\nAnswer: -8795*n**3 - 8*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/14 and -2 + 1 + 273\/(-54)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 459101 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 8, 0.3, -1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8.88 - 0.12. Let b = 11 + n. Let d = 2.3 - b. What is the closest to -1 in 1, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1044*o**2*v**3 + 4*o**2 + 2*o*v**5 + 339*o*v**2 wrt v.\nAnswer: -6264*o**2 + 120*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 8*r**2 + 8*r + 3. Let v be m(7). Let u be (-4)\/v - ((-38)\/(-5) - 3). Sort 3, -3, u in increasing order.\nAnswer: u, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/(u**(-33\/5)\/u))\/(u\/(((u*u*(u*u*u*u\/(u*u*u**(-13\/6)))\/u*u*u)\/u)\/u)*u))\/(u\/(u**(-1\/55)\/u)*u**33))**(-11) assuming u is positive.\nAnswer: u**(7673\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(405) - 1*sqrt(405)) + 1 + 1 - (-1 + -1 + sqrt(405)*1).\nAnswer: -9*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -306120, -1223870, -2753454, -4894872, -7648124, -11013210?\nAnswer: -14990130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from huidxihii.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 9:26 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*u - 441*u = -212*u - 1112 - 474 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132504 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 23*r + 3*r - 2*r + r in the form z + s*r and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wlkk when four letters picked without replacement from wbwpbippllwklkpi?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1712 and -641.\nAnswer: 1097392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 186 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(320) + -1*(sqrt(320) + 1 + sqrt(320)))**2 - (5 + 0 + sqrt(320))**2*6.\nAnswer: -1714 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4 + 11 = 0, 5*q - 47 = -4*r. Suppose 4*m = r - 0. Is 15 a factor of (-6 + 36)*1\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*a**4*b - 1970*a**2*b**2 - 8*a - 2*b**2 - 148094 wrt a.\nAnswer: 16*a**3*b - 3940*a*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2277e + a?\nAnswer: -22774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from xoa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 - 3*w**2 - 5*w + 1. Give f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/4)\/(3*50\/4).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 647 divide 31522395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 0) + 11 + -11. Factor -3 + 11*i - 3*i + i**3 - 4 - 5*i**r + 3.\nAnswer: (i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 108*p - 3. Let q be y(2). Let g = 3989 - 3985. Suppose g*h = 683 + q. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15847249*p*y**2 + 9*y**2 + 558365*y with respect to p.\nAnswer: -15847249*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, -713, -2, 3 in increasing order.\nAnswer: -713, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s + 1. Let l be p(1). Let a(t) = -t + 4. Let b be 3\/5 - 8\/(-20). Let x be a(b). Solve -5*z = -l*c - z, 2*c - x*z = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -108*v + 268*v - 2720 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (0 + -3*-3*sqrt(153)*-2)*6 + 1.\nAnswer: -324*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 199530155.\nAnswer: 5, 11, 193, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -9 + 5. Sort -5, 9, h in increasing order.\nAnswer: -5, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 313\/6? (a) 1\/5 (b) -0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 198675 divided by 3\nAnswer: 66225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**2 + 10*q + 44. Let r be s(13). Suppose y + 0*y + 1 = 5*i, -4*y + 71 = r*i. Solve -20*k + 12 = -y*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 13*l**2 - 68*l + 5. Calculate w(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -16*h + 27. Let v be (-2528)\/(-40) - (1 - h\/10). Calculate the highest common divisor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65 = 2*h + 5*q - 10*q, -58468 = -3*q - 58501 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -270*d**2*i**3 + 84*d**2*i - 15*d**2 - 109*d*i**3 + d*i**2 + 134*i**2 - 9*i wrt d?\nAnswer: -540*i**3 + 168*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*f - 9. Let m = f + 2. Suppose -4*h + 16 = 5*n, -3*n + 3*h = -0*n - 15. Calculate the remainder when n is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of 1\/6*r**3 + 0 - 5*r + 3\/2*r**2. Let a be j(13). What is the greatest common factor of a and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes after 1:11 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + z - 2, -4*z + 22 = -2*x + 8. Let s = -152 + 155. Solve -7 = -s*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2 - 1 - 1351*a**2 + 1355*a**2 + 54*a**3 wrt a.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 31422794 + 68.\nAnswer: 31422862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5255 (base 7) in base 16?\nAnswer: 73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -2*h**2 + 23. Suppose -171*t = -773 - 82. Calculate k(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 4 - 3)*(2*u + 2*u - 6*u) + u + 2 - 2 + 1631*u + 7 + 1186*u - 4897*u to the form g*u + h and give g.\nAnswer: -2083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 2*v - 8 = 0. Suppose 3*n + 7 = v. Let u be (-6)\/28 - n\/2. Is u at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 1271348601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -948*y + 216. Does 20 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s**2\/3 - 1637*s\/3 + 1090 = 0 for s.\nAnswer: 2, 1635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10*j**2*k**3 + j**2*k*t + 10*j**2*t**2 + 3*j*k**3 + 7*j*k**2*t**2 + 3*j*t**2 - k wrt j.\nAnswer: -20*k**3 + 2*k*t + 20*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1757027\/42 + -41830. Find the common denominator of o and 33\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + p - 18 = 2*n, 3*n = -5*p. Let l be (16\/20)\/((-2)\/n). Suppose 22 = -3*d - 5*y, 6*y - 11*y - 28 = -3*d. Solve 3*z = 3, -l*k - 4*z - d = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 4321*h - 331847. Give l(77).\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 66\/121 + (0 - (-772)\/(-165)) and (25\/680)\/(3\/52 - 0)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-128)\/320)\/(2\/3300). Sort -3, 3, -5, a, -2 in descending order.\nAnswer: 3, -2, -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -84?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 + -15. Let y be 0 - (-4 + s + 0). Suppose -t + 60 = y*t. Calculate the remainder when 22 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 5*u**3 - u**2 - 6*u - 5. Let k be 4 - (1 + 1 + 1). Let w be k*(16*-1 + 3). Let z(j) = -11*j**3 + 2*j**2 + 13*j + 11. Determine w*h(q) - 6*z(q).\nAnswer: q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9*k**3*l**3 - 2*k**3 - 55*k*l**4 - 469*k wrt l.\nAnswer: -27*k**3*l**2 - 220*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 4*h**4 + 41236*h**3 + 5190628*h**2 + 185152620*h + 1275967512 = 0.\nAnswer: -10182, -59, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -111000110 (base 2) in base 5?\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -48 + 195\/4. Determine t, given that -v + 3\/4*t**2 + 9\/4*t**3 - 9\/4*t = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 360552285?\nAnswer: 3, 5, 683, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(5\/3))**(1\/55) assuming i is positive.\nAnswer: i**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -4*b**4 - 91352*b**3 - 273984*b**2 + 822040*b - 456700 = 0. Calculate b.\nAnswer: -22835, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - -1. Let m(g) = y*g - 12 + 12. Let c(s) = -2*s**2. Calculate m(c(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1521\/234)\/(2\/(4\/6*-6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2477599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -87.217 + 0.217. Let u = -83.95 - w. Let o = u + -0.05. Sort 1\/9, -3, o.\nAnswer: -3, 1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2516688 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -17. Which is the third smallest value? (a) 3 (b) -3\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a + 4*k + 11276, 102*a - 99*a = 2*k + 8465. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 6*a - 12. Let y(h) = 5*h - 11. Let r(u) = 5*i(u) - 4*y(u). Differentiate r(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 0, 4\/3, -1\/9, -0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-20) - 193\/(-20)) + 693\/55 + -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 3*u - 4*u + 5*u + 0 - u**2 - 1. Let s be i(3). Suppose -3*a - b + s*b = -2552, -4*b = a - 842. What is a rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the third derivative of -1103*g**8\/168 + 2195*g**4\/24 + 1679*g**2. What is the second derivative of f(s) wrt s?\nAnswer: -44120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of 19\/6*j**3 + 6*j + 0 - 1\/900*j**6 + 4\/75*j**5 + 0*j**2 - 16\/15*j**4. Let k(i) be the second derivative of v(i). Factor k(f).\nAnswer: -2*(f - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 584619 is divided by 194870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -7*r**2 + 4*r. Let t(n) = 7*n**2 - 4*n. Give 2*t(a) + 3*u(a).\nAnswer: -7*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y + 2*y + 0*y - 2. Let c(d) be the first derivative of 2*d**3\/3 - 5*d**2 - 6*d + 9. Let k be c(5). Calculate j(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -3*j - 6. Let a = 21 + j. Solve 0 = -5*t - a + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 84 - 84. Solve q = -0*n + 4*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 61*v - 122. Let p be l(2). Let o(i) = 2*i**2 + 4*i + 2. Let a be o(-2). Solve 0 = -0*z + 2*z - 5*x, p = -a*z - x - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 103\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 89213 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 75 - 73. Suppose 42 = l*p + 4*c, -p - 3*c - 11 = -32. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -582*u**3 + u**2 - u. Let n be q(-1). Suppose -2*j - 6*j + n = 0. What are the prime factors of j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 48\/256*48 + -74 + 0. Let z(c) = -11*c**3 - 2*c**2 - 2*c + 2. Let s(v) = -351*v**3 - 65*v**2 - 65*v + 65. Calculate p*z(j) + 2*s(j).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1730, -5982, -13078, -23024, -35826, -51490, -70022?\nAnswer: -91428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 195537 and 69.\nAnswer: 4497351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - 3*a - 959, -c + 479 = -3*c - a. Let j be 3\/(-12) + 18952\/32. Let l = j - c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r. Let h be t(-1). Suppose -8 + h = 3*y. Let u(n) = 100 - 2*n + n**3 - 50 - 52 - n. Determine u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2144 and 6048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 23 - 28. Is 24 a factor of (-74340)\/(-189)*-6*w\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 14*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.61 and -211?\nAnswer: -339.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 27054, 27182, 27528, 28200, 29306?\n\"Answer: 18*t**3 + t**2 - t + 27036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 113 - 14 = 3*w. Let v be 2\/((-2)\/w*-3). Let n be (-9)\/6 - 490\/(-4). What is the greatest common factor of v and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26065 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4690017 or 4690018?\nAnswer: 4690018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - 257224?\nAnswer: -257220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 12:14 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:31 AM and 6:56 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 269 and -0.974.\nAnswer: -262.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**2 - 193*z + z**2 + 934*z + z**3 + 28 + 707*z.\nAnswer: z**3 + z**2 + 1448*z + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36, -77, -106, -117, -104?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-g**3 - 2*g**3 + 9*g**3 + 3*g**2)*(-2 - 1 + 6)*(-2 - 2*g + 2) in the form o*g**3 + l*g**2 + r + q*g + j*g**4 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*s - 6 + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7\/5 - (-24)\/40. Suppose -44 = -d - 4*k, 4*d - 88 = a*d + 4*k. Let c = d + -31. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most -12\/1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -28853, -57707, -86561, -115415, -144269?\n\"Answer: -28854*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 9278890619796 and 0.04?\nAnswer: 9278890619795.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1320527, 1320533, 1320539, 1320545, 1320551, 1320557?\n\"Answer: 6*h + 1320521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezoeezwzweeq. Give prob of picking 2 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 9:01 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1.542 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-346)\/(-18) + (-4)\/54*3. Let u = 114 + y. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = 5*k + 4*r - 0 - 2, -4*k - 80 + 79 = 3*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is k in k**2\/9 - 76*k\/9 - 77\/9 = 0?\nAnswer: -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 3722 divide 2750505892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r**(-1\/4)*r)*r*r*r\/r**8)\/((r\/(r*(r\/(r**(1\/4)\/r))\/r))\/r**(-3)) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:13 PM and 10:55 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -1. Let n be -1 + j + (-1 - 465). Is n\/2*(-2)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*y + y + y)*(2*y - 14 + 14)*(-1 + 1 + y + (0 - 1 + 3)*(0*y - y + 0*y)) as m*y + w*y**3 + r*y**2 + n and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3*0.267\nAnswer: -0.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1044?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 3 + 0 + 2 - 2 - 3 + (1 + 2 - 2)*(-3 - 3 + 5) + 2 - 2 - 1 + 3 - 2 + 0 + 2 + 10 + 2)*(-13*n + 26 - 26) as u*n + g and give u.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 177 a factor of 22532277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -9*v**2 + 5. Let f(y) = 1. Let x(u) = 5*u**2 - 6. Let w(j) = -3*f(j) - x(j). Calculate -6*b(l) + 10*w(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 89.2880809 rounded to 0 dps?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**3 + 2616*s**2 - 300288*s + 9580928.\nAnswer: -4*(s - 518)*(s - 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -23*v**2 + 17*v + 17. Let w(r) = -8*r**2 + 9*r + 9. Let o(x) = 8*x**2 - 8*x - 8. Let m(q) = 3*o(q) + 2*w(q). Give -17*m(b) - 6*t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 437590\/9 at most 48620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, v: 7, l: 9}. Give prob of picking 3 l and 1 v.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1767377 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 729 = -327. Calculate the common denominator of 25\/24*i\/(-60) and -19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 157091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 7:56 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h\/(h*h**(-1\/3)*h*h)))**(-49))**(1\/11)\/(h**(-5)*h\/h**(-1\/3))**(6\/19) assuming h is positive.\nAnswer: h**(-6722\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 29\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 10:40 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*f - 48 = -32*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5215367201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -121980, -121957, -121920, -121869, -121804, -121725, -121632?\nAnswer: -121525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + b7?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 3, r: 6, b: 2, l: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28014173?\nAnswer: 11, 31, 82153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, j: 2, x: 2, r: 5, l: 1, i: 1}. What is prob of sequence jjpi?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:20 AM and 1:57 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, -0.3, -3\/2, 12\/19, -32378?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -925600 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 50a81b (base 16) in base 13?\nAnswer: 1130c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4*m - 283 = 511, -4*y - m = -1579. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t + 2. Calculate u(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3245 divided by -2?\nAnswer: -3245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31192509.\nAnswer: 3, 19, 547237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 6*a**2 + 5*a**3 - 2*a**3 - 9 - 2*a - 2*a**3 + 0*a. What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 5*s = -14, 6*s - 12 = 3*s. Suppose -y - g*z + 2 = -0*z, 2*z - 12 = -2*y. Calculate the remainder when 15 - (-3)\/9*0 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*l + 4*j + 44, -42 = l + 5*j - 15 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -792 + 792.693. Let n = o + -0.6. Let k = -0.0930101 + n. Round k to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((-2)\/8)\/(18\/24)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0*(-3 + -1 + 3). Suppose y = -5*a + 3*a + 36. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 15 - 61 = 0. Let k = 28 + j. Solve 2*q + k = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-1\/5)*k**(-1\/4)*k*((k\/(k**(1\/4)*k))\/k)**(2\/39) assuming k is positive.\nAnswer: k**(379\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v - 1. Let a(q) = 6 + 0 - 3*q + 1. Let x(s) = -6*s + 2. Let h be x(-1). Suppose -4*y = -2*m + 10, 2*y + m + h = 3*m. What is y*a(w) - 6*g(w)?\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -3\/4 (b) -2\/3 (c) 2\/13007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-11)\/22)\/((-3)\/594) - (-5)\/1. Solve g = -d + 108 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 206 divide 299246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16 - -7. Let n = z + 10. Suppose 0 = -2*s + 4*s + 2. Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 2 m when four letters picked without replacement from amamaamaasadaaasahd.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, -0.19 in increasing order.\nAnswer: -3, -0.19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (5*d - 25*d - 7*d)*(3 + 1 - 2) + (3*d - 4*d - d)*(3 - 3 - 1) + 4*d - 4*d + d in the form o + b*d and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/4308 and 17\/10464?\nAnswer: 3756576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -662451, -662449, -662447, -662445?\n\"Answer: 2*j - 662453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/2*6\/6. Suppose n = -b - 2*b - 5*k + 64, 4*b - 4*k = 96. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 10 - 2 = 0. Suppose -b*g + 187 = -97. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = 5*v + 5*l - 45 + 80, -37 = v + 11*l for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003669099 to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/216)\/((-27)\/((-5265)\/52))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 29980041 a multiple of 1351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-12))\/(2\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of -533*g**5\/5 + 263*g - 320. Differentiate s(q) with respect to q.\nAnswer: -2132*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + (-2*sqrt(3)*2)**2 - (sqrt(189)\/sqrt(9))\/sqrt(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 3*t - 12 = 0. Let m be (6\/(-8))\/((-1)\/t). Suppose m*q + q - 8 = 0, 8 = -3*w + 4*q. Solve w = u - 0*u + 3*o + 3, -3*o - 3 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(15\/(-2)))\/(7\/(-70)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 110 = 22. Let z be 1316\/t - 2\/(-11). What is z rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 11.12304ml?\nAnswer: 0.01112304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2428.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*g - 27*g + 55*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00091538241 to 7 dps.\nAnswer: 0.0009154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - -2)\/((-3)\/(-6)). Which is smaller: -5\/2 or b?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r**3 + 9171*r**2 - 75*r - 229275 = 0. Calculate r.\nAnswer: -3057, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 8*i = -0*i. Solve 2*y + 12 - 2 = i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2\/2 + 63*w\/2 + 31.\nAnswer: (w + 1)*(w + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5126 - -2121?\nAnswer: 7247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 44 = 3*m + 2*j, 0 = 2*m - j - 29. Suppose -1113 = -11*i + m*i. Let c = 556 + i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 5559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2*w - 10. Let m be v(-6). Solve -2 = -m*o, 4*y - o = 8*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*d + 14676 = 12*d - 183126. Calculate the greatest common divisor of 444 and d.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15\/2 + 2\/(-4). Let r(m) = m**2 - 8*m + 6. Let d be r(k). Suppose 3*x + 15 = 4*l, -4*x = 5*l - 3*x + 5. Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 + 5*q. Let h(u) = u**2 - 4*u. Let j(x) = -5*h(x) - 4*w(x). Let p(z) = 360*z**2. Determine j(p(m)).\nAnswer: -129600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 243442984 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*u - 6700 = -57*u - 59*u. Calculate the greatest common divisor of u and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 - 14*z - 19. What is f(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 27\/8 - 3\/8*q**3 + 27\/8*q - 3\/8*q**2.\nAnswer: -3*(q - 3)*(q + 1)*(q + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 - 2*v**2 + 5*v**2)*(0*v - v - v) + 42*v**3 - 51*v + 80*v - 29*v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 68*q**3 - 17*q**2 + 15*q + 24. Let j be w(5). Calculate the greatest common divisor of 134 and j.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -8*h**2 - 768*h + 58. Let l(r) = -2*r**2 - 192*r + 13. What is 9*l(q) - 2*x(q)?\nAnswer: -2*q**2 - 192*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -93861 + 93859 = 5*k + t - 4*t, -k - 2 = t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2792 and 2152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -4, 3, 7, 1.1, 42.8?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 2*f**2 - 3*f - 3. Let j be c(3). Let w(m) = -m**2 + 5*m + 6. Let h be w(j). Suppose y - 3*y + 2 = h. Solve -y + 7 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - 87725?\nAnswer: -87726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3*c**2 - 1. Let h = 14 + -13. Calculate r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 18*a**2 - 231*a - 17. Let d be o(14). Solve -8*w + d - 261 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/56*3\/((-36)\/(-7))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 22248.\nAnswer: 155736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 11\/4)\/(3\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-71)\/(-2)*(-6)\/(-4). Let l(k) = 6*k - 6. Let f be l(10). Let z = f - x. What is the nearest to 1 in 1\/8, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-160)\/3008*47*1\/(-5)*176\/(-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of -z**5\/60 - 8*z**2 + 2*z. Let j(r) be the third derivative of r**4\/6 - 4*r**2. What is j(u(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 4:50 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -12050530045 - -5?\nAnswer: -12050530040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**6\/x)\/((x\/(x*x\/(x\/x**(3\/2))*x))\/x*x))\/((x\/(x\/x**(-2\/13)))\/x*x*x)**(5\/3) assuming x is positive.\nAnswer: x**(475\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -41*h - 67. Let y be p(-5). Let j = 271 - y. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 + 4*l - 10. Determine u(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*f - 494 = 40*f. Is -24 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 88 - 3*c**2 + 3*c**2 - 73 - 13*c**3 wrt c.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*h - 4*l, -2*l = 6 - 14. Factor 2\/7*g**3 + 4*g**2 + h + 14*g.\nAnswer: 2*g*(g + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 188 divide 423637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -100*v - 99. Calculate f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/892 and ((-3)\/128)\/((-1449)\/(-72772))?\nAnswer: 21408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o = 3*h + 10*o - 167, -740*h + 744*h - 194 = -3*o for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 80 = 4*s + s, -4*s + 5*x = -47. Find the first derivative of s*y - 38*y - 18 + 19*y wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooxiovvxooooyoiux. Give prob of picking 1 o and 3 x.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1 (b) 5\/3 (c) -0.076 (d) -0.5 (e) 2\/9 (f) -8\/11 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the second derivative of p**6\/120 + p**5\/60 - p**4\/8 + p**3\/2 - p**2\/2 + 8*p. Let l(o) be the first derivative of q(o). Calculate l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1498.646 millilitres in litres?\nAnswer: 1.498646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -342 from 0.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 96.38799 nanometers to meters.\nAnswer: 0.00000009638799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22, 33, 50, 73?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 2*n**3 + 2*n**2 - 4*n + 2. Let s be w(-3). Let t be 2\/((-42)\/(-40) + -1). Let b = t + s. Calculate the least common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 10*x - 65. Suppose p - 111 + 144 = 3*j, 0 = 8*j - 5*p - 81. Calculate w(j).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -70, -386, -4, -5, 1.1, 0.2, 2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 3*v + 15 = -0*k, -5*k - 5 = -v. Solve -15*z + 11*z - 20 = k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-44)\/3)\/(6\/(-54)*-3). Let r = h + 60. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2 and 163.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7070 and -5.\nAnswer: 35350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = 3*h - 3*j, -64 = -2*h + 32*j - 34*j. Solve 5*g - h*g + 156 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2. Let m(r) be the second derivative of -335*r**3\/6 + 243*r. Give g(m(p)).\nAnswer: -112225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 114 (base 15) to base 5\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -7.13649463 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -822 or -819?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + f**2 - 15. Suppose -4*m - 5*v - 16 - 4 = 0, 5*m + 8 = -2*v. Determine s(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -311035*v**6 + 5*v**2 - 21512.\nAnswer: -37324200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1\/19, 0, -123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.7 - 6. Suppose -5*f + 65 = 5*v, 4*f + f - 53 = -2*v. Let p be 2\/3 - -3*(-4)\/f. Which is the smallest value? (a) p (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 30*(-79)\/338910*11\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -7*k + 2. Let x be i(1). Let g(f) = -5 - 8 - 9 + 25. Let o(q) = -q + 7. Give x*g(z) + 2*o(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 1297.\nAnswer: -1, 1, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - 437?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -229*d + 907. Give n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -53967\/136 - -3175\/8. Which is the nearest to 2\/3? (a) -0.3 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/((-660)\/22)*2*(-2)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 815827 and 3131.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2353504 a multiple of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - k**2 - 1)*(-3782 - 1086 + 370 + 239) in the form w*k + b*k**2 + j and give b.\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.5, 0.72, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1 + 1*(93 + 2) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -3*s - s - 33, -f + 1 = 0. Suppose r - 40 - 15 = 0. What is the remainder when r is divided by (s\/(-3))\/(5\/30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5.81 and -1.3?\nAnswer: -7.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -23630 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41 - 29. Let t = -2 - 12. What is the lowest common multiple of (t + 3)*(2 - 3) and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16245 + 14234. What are the prime factors of w?\nAnswer: 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2 + p - 1. Let l(d) = d**3 + 4*d**2 + 15*d - 9. Let z(t) = -6*h(t) + l(t). Is z(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -110 + (47 - -38) - -82?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 131 + -69. Let v = p + -38. Calculate the highest common divisor of 192 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 181716893.\nAnswer: 17, 19, 562591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-6*(1*1*sqrt(7) + sqrt(56)\/(sqrt(72) + sqrt(8))) - (1*sqrt(448)*2 + sqrt(448)*-2*2)).\nAnswer: -34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5288297953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**3 + 13*g**2 - 8*g - 3. Calculate o(13).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4137211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10.455 - 12.57. Let k = -0.025 - w. Let f = k + -22.991. Round f to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -3*d**3 + 257*d**2 + 2662*d - 184. Give t(95).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 170 a factor of 4\/(-112) + 197918037\/4956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 (base 16) to base 12\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31694 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, -20\/43, -1\/6, 3 in descending order.\nAnswer: 4, 3, -1\/6, -20\/43, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -371 + 371.5. What is the second biggest value in -2\/5, -2\/13, x, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-12)\/(-54)*6\/2. What is the third biggest value in b, -5, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 4*l**4\/5 - 24*l**3\/5 + 36*l**2\/5 - 16*l\/5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3)*u)\/(u**(-5\/2)*u)*u\/(((u\/((u*u**(-2\/5))\/u))\/u)\/u)*u**3 assuming u is positive.\nAnswer: u**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -4588454 to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.20012 - 0.2. What is b rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/4*r**3 + 0 + 0*r + 3\/2*r**2 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzo. Give prob of picking 1 z and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 26441.7 times 4\nAnswer: 105766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2880 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c. Let w(r) = -3*r - 4. Let k(p) = -p + 1. Let b(x) = 2*k(x) + w(x). What is b(m) + 4*d(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 28 = -8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43087 is divided by 278.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3266066963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1071 - 602. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50826 is divided by 524.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w + 2. Let n(v) = 60*v - 18. Give -n(p) - 12*z(p).\nAnswer: -48*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1508 + 1511. Let h = -19.4 + 19. Which is the third smallest value? (a) -5 (b) h (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*o - 4*a - 4, 4*a - 11 = -5*o - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 - 127?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 286450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*j**2*u**2 - 4*j**2 + 3*j*u**3 - 37 with respect to u.\nAnswer: 10*j**2*u + 9*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 3 = i - 20, 3*i + 5*x - 29 = 0. Calculate the greatest common divisor of i and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*i + 2*i + 72. Let z = i - 15. Suppose -2 = -u - z*p - 11, 0 = u - 3*p - 9. Sort u, 1, 4.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 2*y**2. Let n(k) = -3466*k**2. Calculate n(i(t)).\nAnswer: -13864*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.04, -5, 19, -1, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 4*m**2 - 3*m - 5. Determine k(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 388\/18929?\nAnswer: 388\/18929","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of 5*k**2 - 181*k + 4609. Calculate n(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*t**3 + 768*t**2 - 121077*t - 2.\nAnswer: 36*t + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbbbbxeexxeezxeex. What is prob of sequence exee?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(9\/3))\/(3\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (8 - 1) + (-60 - (-40 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -g + 5*q + 32, -4*q + 1 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - c + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 699 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/7, -4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1353213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s - 6 - 8 = 0. Let o = s - 13. Let a = o - -18. Solve -4*u - a = -i - 11, -3*i = u - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43422878519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -137278\/3 bigger than -45758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 804235266 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/(-40) - (-24489)\/36 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 18950053 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1020102 (base 3) to base 8.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w + 2 - 2)*(-9 + 10 + 11)*(14 - 1 + 2*w - 5).\nAnswer: 96*w**2 + 384*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**3 + 6*r**3 - 11*r**3 + 10*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*j**3 + 2*j**2 + 0*j**2 - 2*j**2.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -24, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2\/9, -8778339, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1536708 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -10*l**2. Let q(c) be the third derivative of 0*c + 0*c**3 - 2 - 17\/24*c**4 + 44*c**2. What is i(q(n))?\nAnswer: -2890*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1154 + -1150. Factor 0 + 2\/7*y**h - 6\/7*y**2 + 4\/7*y + 0*y**3.\nAnswer: 2*y*(y - 1)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 0*m + 2 = 0. Let y be (-18)\/(-2)*m\/3. Suppose -5 = 5*s, 0 = 2*l - y*l + 3*s - 24. Calculate the common denominator of -43\/9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20*p + 124*p + 53*p + 103*p)*(0 - 2 + 5) to m*p + h and give m.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = l - 2, 5*l + 4*z = 2*z + 17. Let m(d) = 8*d + 5. List the prime factors of m(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*b**6 + 85214*b**4 - 185*b**2 + 4021 wrt b.\nAnswer: 240*b**3 + 2045136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + u - 6 = 0, -202*f - u + 8 = -200*f. Factor 12\/5*k + 3\/5*k**f + 0.\nAnswer: 3*k*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -2*h + 432. Is 2 a factor of m(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 4*j - 16. Let b = j + 1. Solve 0 = -t + 4 - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -5 + 0 - (7 - 0 - 19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -2*a**4 + 844*a**3 + 98232*a**2 - 844*a - 98230 = 0.\nAnswer: -95, -1, 1, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101111110101100000111111 + -10?\nAnswer: -101111110101100001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaoooakakaaeeeee. Give prob of picking 3 e and 1 o.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Calculate 28\/6*(-1908)\/(-742).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15888\/742764*55\/(-15).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 30869547.034 + 0.01858.\nAnswer: 30869547.05258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6084 - 6089. What is the closest to -2\/31 in 0, j, 0.2, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 + 16*w**2 + 18*w - 44. Is 16 a factor of h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -4. Suppose 2*f - g + 572 = -2*f, 0 = g + 4. Let n = f - -145. Solve -p = n - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 2*d**2 - 2*d + 4. Give a(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33\/(-315) - 2\/21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -50 - -50. Suppose 0*m + m - 4*m = f. Let p(k) = -k**3 - k**2 + k + 1073. Is p(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of 0*c + 0*c**3 + 3*c**2 - 1\/8*c**4 - 1\/60*c**6 + 0*c**5 + 0. Find the second derivative of k(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -87*(1\/(9\/(-4)))\/((-308)\/(-462)). Solve c*j - 108 = 76*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -21.411 to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -182*r + 13. Is d(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 73228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {b: 2, l: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 5, a: 3, e: 5}. What is prob of sequence ce?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 118, 99, 68, 19, -54, -157, -296, -477?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24.5 - 24. Sort -44, 5, v.\nAnswer: -44, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k**2 - k + 0*k**2 + 2*k**2)*(-23 - 25 + 35).\nAnswer: 26*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -20 + 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.3 + 2. Let x = s - -1.3. Let q = -0.1 - -0.1. Is q smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5ea (base 15) to base 13.\nAnswer: -7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -59695618, -119391231, -179086856, -238782499, -298478166?\nAnswer: -358173863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2800 and 11200?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -512 or -511?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (b + 0*b - 2*b)*(-8*b**2 + 375*b - 375*b) - 310*b**3 - 674*b**3 - 556*b**3 + 347*b**3 in the form i*b**2 + p + z*b**3 + o*b and give z.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -22 and 47\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g + 2. Let r = -1 + -4. Is c(r) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -j**8\/1120 - j**6\/180 - j**4\/12 - j. Let o(c) be the third derivative of l(c). Find the second derivative of o(h) wrt h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3881 - -3798) + 56 + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2271940 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: Expand (1 + 3 - f + 6)*(-1 - 1 - 2 + (5 + 0 - 4)*(-3 + 0 + 2)*(-9 - 7 + 2)).\nAnswer: -10*f + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -6*x**2 - 43. Let y(h) = 19*h. Let t(b) = -16*b. Let w(o) = -5*t(o) - 4*y(o). What is i(w(a))?\nAnswer: -96*a**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 2.08504221 to four decimal places.\nAnswer: 2.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -6*h + 1338. Suppose 13*k + h = 2617. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -99*y**2 + 99*y**2 + 0*y**3 + 2*y**3 - y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 98*x = 95*x - 73939, 2*c - 36959 = 3*x. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of 25*h**2 + 560*h - 812. Differentiate g(i) with respect to i.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21 + -3. Let s = -26 + 71. Suppose 0 = h - s - 9. Calculate the greatest common divisor of h and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11491?\nAnswer: 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -4*a - 33. What is c(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/17892 and 41\/3014802.\nAnswer: 6029604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 7*t + 15. Let u = -158 + 149. Suppose -2*l - 2*z = 9 - 7, -5*l - 3*z - 11 = 0. Let x(b) = -3*b - 7. Calculate l*q(g) + u*x(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-14 + 1 + 0)*(4*f + 0*f - 3*f)*(-5*f**2 + f**2 + 1 + 5*f**2) in the form g*f**3 + o + q*f**2 + l*f and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 16) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 95676653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7)\/(-12) + 3*3\/(-36). Let x = 8 - 5. Let d = 59 - 54. Which is the nearest to d? (a) m (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2633*j - 3. Let f(v) = v - 1. Calculate -3*f(t) + m(t).\nAnswer: 2630*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-84)\/22 + (-18)\/99. Does 10 divide b\/6*-4*(-330)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6\/5 (b) -2\/5 (c) 17483\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1801198 and 182?\nAnswer: 23415574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*z**2 - 72 - 15*z**2 - 54 + 51*z**2 - 14*z**2 to the form n*z**2 + s*z + u and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 89 + -90. Let m(w) = w**3 - w**2 - 2*w - 1. Let o(v) = -11*v**3 + v**2 + 3*v + 1. Let j(b) = q*o(b) - 2*m(b). Give j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*g + 9 = -f, 0 = -5*f - g - 26. Let p be -4 - ((4\/4 - 4) + 0). Sort 0, p, 3, f in descending order.\nAnswer: 3, 0, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k - 1301 + 1405 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 1106 by -34.\nAnswer: -553\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/6)\/((1950\/1620)\/(-13)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 933\/5980 + -1\/460. Let a be ((-11)\/(-22))\/(1\/6). What is the nearest to 2\/5 in a, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of (0 - -4) + -2 - -134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -p. Differentiate 5 + p + 5*y - 9 wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -n - 0*n - 8, 2*s - 2*n = 4. What is the tens digit of s\/(-4) - 440\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 14 = -2*u - 16, -5*u = -4*o + 9. Let f = u + 7. What is the lowest common multiple of 11 and -3*(f + -1) + (4 - -33)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -34073*s + 2759913. Give x(81).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 225*k - 50. Let y(j) = 37*j - 8. Let m(v) = 4*s(v) - 25*y(v). Let p(r) = r + 1. Let l(x) = 2*x + 3. Let g(n) = -l(n) + 3*p(n). Determine m(g(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 188\/164235 or -1?\nAnswer: 188\/164235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/(-40)*((-6)\/(-8))\/(594\/180)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -118829\/18 + 6609. Let z = 148 - 4886\/33. What is the common denominator of n and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -464773157 <= -464773157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -6*238\/(-252)*-3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2 - 90985076*h - 2069571013681444.\nAnswer: -(h + 45492538)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17*m**6 - 108114*m**4 - 2892436*m**2 wrt m?\nAnswer: 2040*m**3 - 2594736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5.47? (a) -2\/7 (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from awaawvwaa. What is prob of sequence vawa?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/1632048 and 111\/176.\nAnswer: 1632048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -5\/13, 4 in descending order.\nAnswer: 13, 4, -5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b + 11. Let r be z(8). Find the third derivative of 3*i + 13*i**3 + 10*i**r + 3*i**3 - 18*i**4 - 25*i**3 - 6*i**2 wrt i.\nAnswer: -432*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/16 and 107\/1842?\nAnswer: 14736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12596214 and 210?\nAnswer: 440867490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 6*u**3 - 5*u**2 - 29*u - 6. Let s(x) = -13*x**3 + 11*x**2 + 57*x + 13. What is 9*f(y) + 4*s(y)?\nAnswer: 2*y**3 - y**2 - 33*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(84)*-1 - sqrt(84))*-1 - -5*(-1*sqrt(84) + sqrt(84)))\/((1*sqrt(144)*-2 - sqrt(144) - sqrt(144))\/sqrt(12))*-6)**2*-1.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 2:45 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292*u - 2*w = -287*u - 943009, 0 = 3*u + 2*w - 565803. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (((-314)\/(-4))\/((-5)\/215))\/((-2)\/24)?\nAnswer: 2, 3, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -750154.\nAnswer: -1\/375077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -35*f**5*t - 5*f**3*t - 4*f*t + 24*t wrt f?\nAnswer: -700*f**3*t - 30*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 + (-3 - (1 + -29)). What is the first derivative of -11101*o**3 + 2*o**4 - m + 11039*o**3 - 18 wrt o?\nAnswer: 8*o**3 - 186*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*c - 31*c = -30. Let z = 1 - c. Suppose 0 = o + 3*w - z*w - 6079, 5*o - 5*w - 30395 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 AM and 12:34 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 170*w**2 - 93*w**3 + 189*w**3 - 94*w**3 + 0*w**3 + 2*w**3 + 0*w**3 + (-2*w**2 - w**2 + 4*w**2)*(3*w - 6*w + 4*w).\nAnswer: 5*w**3 + 170*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40 + -25 - 53 - (-29 + 119).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -231*r**4 - 480*r**3 - 309*r**2 - 39*r. Let q(z) = -23*z**4 - 48*z**3 - 31*z**2 - 4*z. Let u(n) = -21*q(n) + 2*v(n). Solve u(l) = 0 for l.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6\/883337 - 12998633\/141333920. Calculate the common denominator of 11\/56 and k.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 198002445 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 30896a (base 11) to base 6.\nAnswer: 14335302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1404) - -2*sqrt(1404)*-3 - 2*sqrt(1404)*-4)\/(1*sqrt(108) + sqrt(3) - sqrt(24)\/sqrt(128)))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -6*a**2. Let t(c) = -29*c**2 + 2. Calculate x(t(u)).\nAnswer: -5046*u**4 + 696*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1188 - -1224. Suppose 4*q - 20 = -0*q + w, -5*q + w = -24. Calculate the highest common divisor of q and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*t = -20*t - 21. Let p(k) = k**3 - 9*k**2 + 10*k + 10. Let u be p(t). What are the prime factors of (136\/(-24))\/(2\/u)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be 12\/16*-1*-692. Let o = 889 - a. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*m**3 - 2*m**3 + 0*m**3 - 2 + 2 + m**3 + (-3 + 2*m + 3)*(3*m**2 - 3*m**2 - 2*m**2) to the form h*m + d + p*m**3 + x*m**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2. Let d(k) = -76 + 76 - 3*k. What is y(d(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 493856007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 122 a factor of 414921024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 39 + -22. Suppose -2*i - 91 = -k. Let f = i + 38. Calculate the lowest common multiple of 46 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171)*-4)**2 - (2*sqrt(475) - sqrt(19)) - sqrt(133)\/(sqrt(343)*-2 - sqrt(343)).\nAnswer: -188*sqrt(19)\/21 + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 29879217 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -134590184 + 134590172.2028978. Let z = 0.2014078 - q. Let d = -12 + z. What is d rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 2237070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12210010 + -201112?\nAnswer: 12001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 3\/7 (c) -7\/3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70 and 176436281.\nAnswer: 1764362810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 20120 (base 3) in base 4?\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 25.5325 times -0.15?\nAnswer: -3.829875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -202, 2.6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 2*s + 21194 = 308721, -5*s = -30. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3007\/1230 - -34\/615. Factor y*f**2 + 0 - 3*f**3 + 0*f.\nAnswer: -f**2*(6*f - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (102*87\/986)\/(9\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4066192ng in grams?\nAnswer: 0.0000000004066192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*g + 12 = 3*w - 21*g, 3*w - g - 127 - 124 = -250 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -7063 and -7061 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*z = -24*z - 3*r + 33, 0 = 6*r - 24. Which is the nearest to z? (a) 1 (b) 1\/14 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 325310912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 11 = 56. Suppose 0 = -5*v - 25, 2*f = -3*f - 2*v - 50. Let g = f - m. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u + 12. Let j(i) be the third derivative of -1\/120*i**6 + i**3 + 2*i**2 + 0 + 0*i + 7\/60*i**5 - 7\/24*i**4. Let n be j(6). What is p(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b**2 + 203*b**3 - 2*b - 1 + 3*b + 81*b**3 - 53*b**3 to the form d*b**3 + i + w*b**2 + k*b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 478 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**3 - 2. Let o be l(-2). Let s be 2\/3 + 86\/o. Let n(y) = -2*y - 5. Let a(p) = -p - 2. Calculate s*a(i) - 6*n(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.1 - 0.04. Let z = -0.9 + 0.952. Let d = h - z. Round d to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6447534283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 195\/702*2*63.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -1\/22 (b) -4 (c) 1\/100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (224\/340 + 6\/15). Let l = g + -47\/68. Which is the closest to l? (a) -2 (b) -4\/5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -58548 - -72?\nAnswer: -58466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 32073*z**3 - 4 + 32072*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 + r**4 - 2*r**4)*(21905 - 9425 + 20314).\nAnswer: 32794*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 65761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*h - 307*h = -83084 - 189661. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 402735, 805774, 1209111, 1612734, 2016631?\nAnswer: 2420790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 263 - 256. Find the third derivative of -19*r - x*r**5 + 2*r**2 - 3*r**5 - r**5 - 40*r**5 wrt r.\nAnswer: -3060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 112267634 to the nearest integer?\nAnswer: 10596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 161061\/15 - ((-504)\/(-40))\/(-21) a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - 0) + 1 - (198 + -203)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 divided by -2389.\nAnswer: 8\/2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + a)*(10930*a + 261*a**2 - 10930*a)*(0*a - 2*a - 3*a).\nAnswer: -1305*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -3*w + 3*l, -4*w + 3*l = -4 + 11. Let a be (-4)\/w - 20\/(-4). Solve 2*n - 3 = f + 6, -3*f = -a*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of 20*x**2 - 16*x + 39. What is the first derivative of y(s) wrt s?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*t - 64*t = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-23)\/4*(-4)\/(-1). Suppose 0 = 4*o + 4*v - 144, -49*o - 171 = -53*o + 5*v. Let z = o - n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -1817?\nAnswer: -1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 3*p**3 + (-36*p - 16*p - 35*p)*(-2*p**2 + 0 + 0) - 2*p**3 + 5*p**3 - 2*p**3 + (-p + 2*p - 2*p)*(-2*p - p**2 + 2*p).\nAnswer: 179*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0257301 decades in centuries?\nAnswer: 0.00257301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 12 = -3*d. Suppose 3*b + x = 1 + 1, x - 2 = d*b. Suppose -2*l - u + 6 + 3 = b, -3*l + 10 = 5*u. Solve w = m + 3, 3*m - l*w - 2 + 17 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 51925\/5286 + 9\/881. What is the common denominator of q and -63\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - u + 10 = 0. Let z = -38 - -38.051. Let v = -1.051 + z. Which is the second smallest value? (a) u (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -252984, -505970, -758956, -1011942, -1264928?\nAnswer: -1517914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 144 = -142*h + 94*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 42849 by 58.\nAnswer: 42849\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/6908 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 25, 8, -336.\nAnswer: -336, 8, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -81.82 - -81. Let n = 37.82 + d. Let r = 39 - n. Which is the nearest to -0.06? (a) r (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -3585395.\nAnswer: 1792697.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*x + 30251 + 2179 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -92.007 + 0.007. Let v = -92.17 - g. Which is the smallest value? (a) 1 (b) 0.2 (c) 0 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.92 - 0.08. Let d(f) = f**2 - 9*f + 6. Let z be d(8). Let v be (3 + 1 + z)\/2. Which is the second smallest value? (a) v (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**5\/6 + 2495*q**4\/2 + 673120*q**3 + 455096320*q**2\/3 + 11464212480*q.\nAnswer: 5*q*(q + 153)*(q + 448)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -107 = 29*r - 455 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8840.23l?\nAnswer: 8840230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 126387814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 498037709 divided by 42901.\nAnswer: 11609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11132754 and 12291?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 277450*n**4 + 2*n**3 + n**2 + 6476*n - 105?\nAnswer: 3329400*n**2 + 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1185 - 770. Let c = b - 505.4. Round c to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-20)*(-220)\/(-396).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4*d = -6*h + 90, -2*h = -2*d - 186. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 29 - 50 + a + 20. Give t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11010001 (base 2) to base 8.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 6*l. Let a = -1914 + 1933. Suppose -5*g + a + 1 = l. Solve -4*t = -4 - g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (2 + -6 + -15 + 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(5 + sqrt(5) + 1 + sqrt(80))**2.\nAnswer: 240*sqrt(5) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -h**5 - 17480*h**4*v + h**2*v + 6137*h - v wrt h.\nAnswer: -20*h**3 - 209760*h**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1052517 (base 13) to base 3\nAnswer: 100100202020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 450068 divided by -12164\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1842 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 213\/(-21) - 2\/(-14). Let d be (0 + -1)*7*-3. Let v = w + d. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 - 5. Suppose m = -3*l + 2 - 11. Let n be 1 - (-2 - l - 0). Solve n = -5*x + 4 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y + 9 + 48640*y**2 - 19626*y**2 + 49615*y**2.\nAnswer: 78629*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*(-2)\/2)\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1127*r**2 + 1128*r**2 + 10*r**3 - 2255*r**2 + 14*r**3 - 20*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 + 2190\/16)\/(12\/(-16)). Let v = s + 181. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8675136 and 11?\nAnswer: 95426496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 419*n**2 - 14*n - 25. Let l(k) = -209*k**2 + 8*k + 15. Give 5*l(a) + 3*x(a).\nAnswer: 212*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -38729*t + 103. Is l(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-8))\/(((-3795)\/44)\/23)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 378\/6*((-172)\/387)\/(4\/(-3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2\/7))**(1\/53))**(-2\/77)*(z*(z**(1\/2)\/z*z)\/z*z*z**9)\/((z*z\/(z**(6\/11)*z))\/(z*(((z*z*z*z**8*z*z*z*z)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(1316659\/57134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 95644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*l**2*m**3 - 74*l**2*m**2 - 6*l**2 - 3*l*m**3 + l + 2*m + 383 wrt l.\nAnswer: 6*m**3 - 148*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 952849.8 centuries in decades?\nAnswer: 9528498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 144 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 6, -288, -5 in increasing order.\nAnswer: -288, -6, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 6:45 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 20*x - 144. Let q(c) = 7*c - 73. Calculate 9*q(s) - 4*v(s).\nAnswer: -17*s - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*f - 20*f - f + 0*f + 54*f**4 wrt f?\nAnswer: 648*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21 + 16. Suppose 0*z + 3*z + 3 = 2*i, -3*z - 12 = i. Let m = -4 - i. Put m, s, 1 in decreasing order.\nAnswer: 1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-3) - (-25)\/(-15). Let c = 6 + b. What is the remainder when 7 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-53)\/(-30) - 774\/516?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fifty-five quarters of a millimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 87 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of x**2\/2 - 4*x - 9. Let a be g(9). Suppose 4*k - k + a*n - 37 = 0, 4*k - 3*n - 1 = 0. Solve 2*h - k - 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 470637 is divided by 2544?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + ((-6)\/(-9) - 15\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.025 + 1.025. Which is the closest to d? (a) -1\/2 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-1)\/4)\/((-587)\/(-28) + -21). Solve 0 = -37*u + f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 85 and 138792.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1186 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/9 - 32\/(-36) - -4. Solve -16*n = -d*t - 18*n + 30, -4*t - n + 21 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -4*g - 17, 2 = -4*c + 5*g + 25. Let t = 1 - c. Is 6*-17*2\/t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -156112101 (base 7) in base 6?\nAnswer: -1015212430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 33 = 3*l, 5*c - 6 = -l + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.059524 millilitres to litres.\nAnswer: 0.000059524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -526 - 2360. Let l = r + 2763. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 304 divided by 8.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 43303 = 65*y + 40183 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -1872*x**4 + 845*x**4 + 8*x**2 + 836*x**4 + (4 - 5 - 1)*(-x**4 - 15 + 15) in the form n*x**2 + h + f*x**3 + m*x**4 + k*x and give m.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*f**4 - f**3 + 143*f**2\/8 + 9*f + 9\/8 = 0. Calculate f.\nAnswer: -3, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 6*n**3 + 9 - 2 + 3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22551 = -16*a + 22871. Suppose -p - 121 = -y, 4 = -2*y - p + 234. Calculate the remainder when y is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6653*h - 4416 wrt h?\nAnswer: -6653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -2 - 1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -b6 - 23?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 1, r: 1, w: 1, b: 1, f: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -254*o + 14. Let i be n(-4). Suppose w + 21 = i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 6:57 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-84)*6 + (-1578)\/7. Calculate the remainder when 6 is divided by (f\/50)\/(6\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - (5 + (-12)\/(-9 + 243\/22))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-6) + (-19)\/(-3). Let v = p - 7. Let n(t) = -10*t**2 - 10*t - 10. Let k(m) = 7*m**2 + 7*m + 7. Let o(u) = -7*k(u) - 5*n(u). Determine o(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 143 + -52. What is the greatest common factor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*1*sqrt(88)*-1)\/(sqrt(2) + sqrt(72)\/sqrt(4) - (sqrt(72) + 1*sqrt(72) + sqrt(72))) + 5.\nAnswer: 6*sqrt(11)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6932, -6929, -6924, -6917, -6908?\n\"Answer: w**2 - 6933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 140563193 by 6.\nAnswer: 140563193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 4, -1 + 12 = y + 2*b. Let t = -98 + 102. Suppose -2*q - q + 55 = t*g, y*q = 2*g - 23. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 0.05 (c) 1 (d) -3 (e) -48 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 392*s**3 - 184*s**3 - 70*s**3.\nAnswer: 138*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.230128 meters to nanometers.\nAnswer: 5230128000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3 - 22056*f**2 - 44121*f - 22062.\nAnswer: 3*(f - 7354)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/9 (c) -21 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 + r**3 - r**3)*(-1 - 1 + 0) + (27 - 4*r - 27)*(2*r**3 + 3*r**3 - 2*r**3).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 960 = l. Let n be (-28)\/(-3 + -4) + 0 + -4. Suppose n*v - 10*v = -l. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -3*y - 15, 19 - 1 = -4*y - 2*u. Let c(l) = -4*l. Let i be c(-1). Let z(g) = 0*g**3 - g**3 - 3*g**2 + i + 0*g**2. Calculate z(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2603365083.\nAnswer: 3, 11, 8765539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -146.7813479 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((5\/(-25))\/1)\/(24\/100)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9507.784ml?\nAnswer: 9.507784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -88*q - 3. What are the prime factors of d(-1)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + sqrt(448)*-2 + -3)**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (212\/24 - (5 + 3))*(7 + (-13925)\/2000)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 5 = -s, 0 = 473*d - 474*d + 2*s - 8. Solve 877 = -d*i + 863 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.99 + 0.01. Let q(u) = -57*u + 4. Let n be q(4). Let r be -5*(n\/110 - -2). Which is the closest to j? (a) 0 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 6, t: 7}. Give prob of picking 3 t and 1 x.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 + 17*l**2 + 11*l + 35. What is the tens digit of u(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 1. Let u(w) = 0 + k - w**2 - 10*w + 5*w. What is the units digit of u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 311 - 286 = 5*w. Suppose 4*j - 7856 = 3*j + w*h, 5*j = -4*h + 39193. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + (2 + -3 - -302). Let s = -297 + w. Is s at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/(-8))\/((-4)\/(-8)). Put -3, 2\/17, v in increasing order.\nAnswer: -3, v, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 34, 66, 9, 4 in descending order.\nAnswer: 66, 34, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, q: 18}. Give prob of picking 2 q and 1 r.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19512)\/2710)\/((-2)\/10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5\/(-10) + (-4)\/24\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.065933244752 minus -16.31?\nAnswer: 16.244066755248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 7289609.8 - 0.8\nAnswer: 7289609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**2 - 3*h**2 + 3*h**2 + (2 + h**2 - 2)*(-2 - 3 + 0) + 6*h**2 + h**2 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to -9\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 321316043, 642632084, 963948125, 1285264166?\n\"Answer: 321316041*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1.392 (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 1922*p**4\/7 - 30504*p**3\/7 - 3960*p**2\/7 - 128*p\/7.\nAnswer: 2*p*(p - 16)*(31*p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2909*m**2. Let b(o) be the first derivative of -o**2\/2 + 6421. Calculate r(b(h)).\nAnswer: 2909*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**2 - 8*n - 6. Let b be z(7). Let s(l) = -2*l**3 + 0*l - l + 2*l**3 - 4*l**3. Let f be s(-2). Calculate the highest common factor of f and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -5, 0.3, -4, -30995?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2. Let t(i) = -i**3 + i**2. Let m = -17 + 20. Suppose 0 = -m*h + 7*h - 4. Determine h*n(c) + t(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22 + 87*g + 52*g - 4*g + 49*g with respect to g.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from {t: 2, w: 1, c: 1, p: 2, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of n**6\/30 + n**4\/3 - 7*n. What is the third derivative of a(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 3975\nAnswer: -8\/3975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 51437320 by -4.\nAnswer: -12859330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116*m - 115*m - 983 = -4*s, 4*m = -20. Calculate the highest common factor of s and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ljjllllllucllj. What is prob of sequence ujl?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*b = 3490 - 814. Which is bigger: b or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -938 + 938 - 37510*x to the form u + t*x and give t.\nAnswer: -37510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000758559 to 5 decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 2*s - 256 = 0, -3*p - 5*s + 77 = -331. Let d = -72 + p. Let c = 104 - d. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*t + 35 = 7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - 2*v + 0 + (-8*v - 5*v + 4*v)*(15 - 146 - 37).\nAnswer: 1510*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*m + 69*m - 8 + m**2 + 54*m - 61*m + 17*m.\nAnswer: m**2 + 125*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q + 9. Let c(x) = -x**3 + 0 + 3*x**2 + 5 - x**2 + 4*x. Let y be c(4). Give k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14281*j**2 - 18411*j?\nAnswer: -28562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 54\/(-9) - (-204)\/48?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, p: 4, c: 2}. What is prob of picking 1 c, 1 p, and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from zzttztztttzzzt.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.4 (b) 4\/5 (c) 241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30552439 + 21492439. What is i rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.009 and -1.2?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 = 2*m - 12. Let g = -40 - m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 7*l - 2. Suppose 0 = -3*z - 3, -1 + 19 = -5*u + 2*z. Let j(o) = 6*o - 1. Let m(c) = u*d(c) + 5*j(c). Let r(b) = -5*b - 7. Determine 7*m(n) + 3*r(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 7*m + 30 = 0. Let u be 4\/m*(3 - -7). Find the second derivative of 0*f + f**u + f**4 + f wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37 or -182\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 305*a + 4948 = 68 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 38036731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 3 + 5 = 0. Let v(n) = 4*n**t + 18*n - 17*n + 1 - 2. What is v(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -34*l + 86. Is j(-37) a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 2500*k**3 + 661400*k**2 + 369796*k + 51744 = 0.\nAnswer: -264, -7\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of 2*q**7\/21 - 236*q**6\/15 + 764*q**5 - 20168*q**4\/3 + 77056*q**3\/3 - 50176*q**2 - 2*q - 150. Let u(n) = 0. Calculate n.\nAnswer: 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 12:22 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + n = 6*n + 55, -4*y + n + 56 = 0. Let l be (2\/y)\/((-4)\/4152). Let j = -138 - l. What is the second biggest value in 1, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -22*c**2. Let r(g) be the second derivative of 7*g**3\/6 + 3*g + 33. Give u(r(s)).\nAnswer: -1078*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2414808 and 0.2.\nAnswer: 482961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45383 is divided by 15098?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/12)*o*o*o**27*o*o**(-8\/3)*o\/o**(2\/121)*o assuming o is positive.\nAnswer: o**(42689\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -46*k**4 - 6*k**2 - 12*k + 82. Let w(t) = -92*t**4 - 13*t**2 - 26*t + 164. Let u(m) = -13*s(m) + 6*w(m). Find the first derivative of u(v) wrt v.\nAnswer: 184*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2642 divide 66909431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mhp when three letters picked without replacement from {a: 3, h: 5, p: 3, k: 2, m: 7}.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 1 + -2 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1b9 (base 14) to base 12.\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -68 + 31 + 32 + (-4 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 187e (base 15) in base 3?\nAnswer: 21021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 + -4)\/(3\/6). Let y(n) = 3 + 2*n**2 + 1 + 3*n - 2 - 7. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 466\/351 + 2\/351. Let j(b) be the first derivative of -l*b**3 - 2 - 2*b**2 - 4*b + 1\/4*b**4. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*j + 20, 24 = 2*w - 59*j - 71*j + 126*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 653?\nAnswer: -1\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -518 + 95 + k + 134 + 154 + 2*k + 135.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(1\/3)*d)**(-34)*(d*d**0)**(-48))**37 assuming d is positive.\nAnswer: d**(-10360\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 7:52 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -18, 51, 0.3, 3, -0.4, 0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19 + 10. Let f = 2 - 5. Let n = f - q. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*o + o**2 - 2*o**2 + o**3 + o**2.\nAnswer: o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 - 8*d**2 - 6*d + 6. Let f be (26\/4)\/((-3)\/(-6)). Suppose 5*u = -15, -4*u = l + f - 0. Let c be (-1 + 8)*l*1. Calculate h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 271450679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 35221 + -35221.04699688. Let j = a + 0.047. What is j rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i + 1 - 6*i**2 + 0*i + (-6 + 6 + 3*i**2)*(-2 + 3 - 3).\nAnswer: -12*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -179 - 195. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - 196\/12*15\/(-45).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6113 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 5*a - 3. Suppose -75 = a*m - 7*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 627, -5, -4, -1238, -3 in decreasing order.\nAnswer: 627, 4, -3, -4, -5, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 t, and 1 i when three letters picked without replacement from {i: 1, j: 1, z: 1, c: 1, g: 2, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 350868 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 186 and 1054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j + 2*j - 5*j)*(7*j - 3*j - 2*j) - 13*j**2 - 5 + 5 + (-3*j + 7*j - 3*j)*(2*j + 2*j - 5*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -21*s**2 + 12*s = 0.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(1\/12)\/l)**(-7\/5)\/(l\/l**(-5)*l)**(2\/23))**(4\/25) assuming l is positive.\nAnswer: l**(931\/8625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -2*z - 31. Let l be q(-16). Let i = 35 - 19. What is the units digit of l*i + 1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to 21\/126082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(152) - -5*(-2*sqrt(152) + sqrt(152) + sqrt(152)))*-4)\/(6*(2*sqrt(72) + sqrt(72)))*5)**2.\nAnswer: 1900\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o and 1 j when four letters picked without replacement from {j: 2, o: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-663)\/85 + 68\/85\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22.8 - -23. Which is the nearest to r? (a) -5 (b) -2\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -19*v**3 + 96*v**2 + 772*v + 18. What is g(-4)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.1, -0.71, -1, -0.5, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 45 - 303 = -2*v, 3*v = u - 133. Let b = 60537322\/464877 + -2\/154959. Let q = b - u. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 47. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6*x**4 + 5 + 36*x**3 + 62*x**3 + 2*x**2 - x - 101*x**3 as p*x**4 + l*x + v*x**3 + s + d*x**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*x + 5*x = 0. Which is the nearest to x? (a) 0.5 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 - 6*r - 1. Let g be c(-4). Let m(s) = 48 - 40 - g*s + 0*s**2 + s**2. Determine m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-3*(0 + sqrt(684)*2*-3) + -4))**2.\nAnswer: -864*sqrt(19) + 221632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -c**3 + 0*c**2 - 18 + 9*c + 22 + 0*c**2 as g*c**2 + s*c + v + h*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**4 - t**3 + t**2 - 1. Let a(p) = -4*p**4 + 10*p**2 - 6. Let y = -2 - -7. Suppose y*j - 2*j = -3. Let m(i) = j*a(i) + 6*s(i). Solve m(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/(-225))\/(6\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 8*l**2 - 62*l - 30*l + 53*l in the form u*l + n + i*l**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 14507231 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 3*a - a + 24 = 0, 4*d - 5*a = 24. Suppose 0 = -2*f + f. Suppose -g + 2*g - d = f. What is the remainder when 15 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is bc5c + 2?\nAnswer: bc61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*-1*sqrt(77))\/((sqrt(112)\/sqrt(2))\/sqrt(8)) + (-5 + (sqrt(99)\/sqrt(9) - sqrt(11)) - (-2 + 4*sqrt(11))) + 2)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (253000\/(-69))\/(1\/(-990)). What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-5*(sqrt(7) + -2)**2 - sqrt(7))*5.\nAnswer: -570*sqrt(7) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) 0 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -478.82 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-4)\/(-2))\/(-1 + -2). What is the smallest value in w, -2\/9, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.113, -0.11, -1\/6, -3.6, 50?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 - 16*b - 15. Let x be y(17). Find the first derivative of -35 - 31*c**x + 187 - 18 - 68 wrt c.\nAnswer: -62*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 8*o**2 + o. Let s be n(-2). What is the greatest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 11 - 11 + i**2. What is the lowest common multiple of 8 and f(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 15*t - 18*t - 2*m, -5 = t + 2*m. Solve -5*r = -n - 24, t*r - 2*n + 6*n = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84 and 16989.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.49 - -3.64. Let z = i - 3.3. What is z rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) 0.3 (b) -1\/13 (c) -13\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -3*i**2 - 5*i - 10. Let l be r(-4). Let x = -36 - l. Suppose 0 = -v + x*v - 1477. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79394911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 186 + -230 - (-1 - 10).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f**2 + 365*f + 1966. What is r(188)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 95509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -133*c + 112*c. Let a = 10 + -17. What is the third biggest value in c, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from yyuyyykuayykyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 - r - 1. Let i(j) = -4*j**2 + 7*j - 1. Suppose 0 = -48*v - 6*v - 324. Determine v*m(k) - i(k).\nAnswer: -2*k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + 17*k - 60. Let t be (-8 - (1 + -1))*90\/36. Let w be x(t). Suppose -123 - 26 = -y - 3*c, w = 4*y - c - 609. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cqqqqwqqqw. Give prob of sequence qw.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3711215*f**2 + 2242*f - 2242*f + 3711214*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of -c**5\/20 - 5*c**4\/12 - c**3\/2 + 3*c**2\/2 + 2*c. Let m be 1\/(-2)*(-1 - -7). Give i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 3*f**2 + f - 3. Suppose a - 105 = 5*u, -63 = 5*u - 2*a + 42. Let v be 6\/u - (-57)\/(-21). Let h be c(v). Solve s = 3*g - 2 - 15, -5*g + h = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4*33\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5449744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 58035313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -59 - 190. Let b = -185 - u. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/18)\/((95\/60)\/19)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 3:11 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/(-6) - 2)*2. Let z(w) = -20 + 8 + 11. Let v(f) = -2*f - 4. Calculate a*z(k) + v(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -38783636, -77567280, -116350924, -155134568, -193918212?\n\"Answer: -38783644*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 0 - (-19 + (-30 - -45)) - -35?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ln when two letters picked without replacement from nldldddddldn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -234 (base 8) in base 11?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2*u**4 - 9146*u**3 - 1760042*u**2 - 83875854*u + 267715044 = 0.\nAnswer: -4374, -101, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 115 + -459\/4. Let q be (0 - 2)*2\/8. Let g = -4.1 + 4. Which is the closest to g? (a) 0.1 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 40 in 1\/3, 1, -1, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -2, -4, 3\/8, 3 in decreasing order.\nAnswer: 3, 3\/8, 1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the second derivative of x**4\/12 - 4*x**3\/3 - 6*x**2 + 16*x. Let l be v(9). Let q be 1\/l*(-24)\/(-64)*-12. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -47 and -0.1485.\nAnswer: -47.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from wiwwiiwwwwiwwiww.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-852)\/(-6)*6\/15*215\/(-172)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -3*n**5\/20 - n**4\/4 + n**3 + 5*n - 4. Let z(s) be the first derivative of r(s). Find i, given that z(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -49398, -49396, -49392, -49386, -49378?\n\"Answer: g**2 - g - 49398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 4*(3*sqrt(475))**2.\nAnswer: 17105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 3*w**2. Let x(s) = s**2 - 26. Calculate x(m(y)).\nAnswer: 9*y**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (f - 2*f + 0*f)*(5 - 9 - 110)*(-f**3 + 13*f**4 + f**3).\nAnswer: 1482*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -33 + 38. Suppose -2*p + 5*c = p - 1227, -5*p + 2045 = -t*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, -46, -109, -186, -271, -358, -441, -514?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**2\/2 + 189*z - 35721\/2 = 0. Calculate z.\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) -38\/9 (c) -4\/13 (d) 229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 + 16*r**2 - 2*r - 18. Let v be l(-16). Suppose -12*w = -v*w + 116. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 4165565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*a = -a. Suppose a = 8*x - 9*x + 29. Let i be 1 - (252\/(-196) - 4\/(-14)). Solve -z = s - 9, x = 3*s + 4*z - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 - (3\/3)\/((-1)\/(-25)). Is -113\/5 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-18)\/11475*-17)\/((-15)\/(-225)))\/((-27)\/5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2165, 2172, 2179, 2186, 2193?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1, 0.3, 595, -0.1, -17, 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -3*l**3 + 101*l**2 - 69*l + 116. Let i be x(33). Solve -i*m - 30*m = -47 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 2*w**2 - 25*w + 42. What is a(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve f**3\/3 + 106*f**2 + 11236*f + 1191016\/3 = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/3400 and 1\/2380.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 47 - -13 - (-20 - -43)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21.56639*-0.2.\nAnswer: -4.313278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 384 in -5, -21, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*y - 8*y = -75. Let o = 106 - 60. Suppose 29 = 5*a - o. Calculate the remainder when a is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 AM and 9:06 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 14938*p + 1583447. What is b(-106)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -247 - -455. Let u = -3991.3 + 3795. Let p = t + u. Round p to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15.2204221 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200*k + 4064*k - 3664*k - 194*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -4*d. Let c be f(-4). Suppose -24 + 5*j - 2*j**2 + c + 3*j = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 73504.43 millennia in decades?\nAnswer: 7350443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**4 - 3*s**4 + 3*s**4)*((1 + 2 - 5)*(0 + 0 - s) + 1 - 9*s - 1).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*g, 6*j + 95 = 8*j + 3*g. Solve -32*k = 111 + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 138838, 277670, 416502, 555334, 694166?\nAnswer: 832998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1 times -3998.8\nAnswer: 3998.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 8:43 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4080.722 decades in centuries?\nAnswer: 408.0722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 55852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 78 and 6713816?\nAnswer: 261838824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45139 is divided by 80?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 8:43 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(65) - (-1*sqrt(65) + sqrt(65)))*-5)\/(sqrt(720)*-2 + sqrt(5)).\nAnswer: -5 + 5*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5230204 - -11?\nAnswer: 5230215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16836?\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of 7*m**6\/5 + 10*m**4\/3 + 37*m. Find the third derivative of v(p) wrt p.\nAnswer: 1008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - x = 2, 4*x = -4*f + 84 - 116 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.02524351 and -3.\nAnswer: -0.07573053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 5*b - 6 = 0, 110*k = 114*k - 5*b - 8. Put 0.3, -1, k, -7, -0.13 in ascending order.\nAnswer: -7, -1, -0.13, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8423 - -8418. What is the third biggest value in w, -0.2, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -119909*g - 8. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 161453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30 and 308145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 217189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3432 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001120000 (base 3) to base 9.\nAnswer: -31500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 170178, 170187, 170196, 170205, 170214, 170223?\n\"Answer: 9*c + 170169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 682.44216 to the nearest ten.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + -22 - (-9 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26 - -46. Let b be (227 - 187)\/((-5)\/(-6)). What is the greatest common factor of b and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/6 + 34\/6. Suppose 81 - 15 = 3*h - a*w, 22 = h + w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7\/18 + 41\/90. Let o(h) be the second derivative of 0*h**5 + 0*h**3 - g*h**6 + 1\/6*h**4 + 0 + 0*h**2 - h. Find the third derivative of o(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/f**(-2\/23)*f)\/f*f)\/f**11)**22 assuming f is positive.\nAnswer: f**(-4510\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 5*v - 12 = 0. Suppose -14 = -v*f + 6. Let s(n) = n**3 + 7*n**2 + 3*n - 10. Let x be s(-5). Solve 0 = -f*g + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*k - 4*k - 3*k)*(3*k**2 - 3*k**2 - k**2) + (0 - k**2 + 0)*(-3*k + k + k))*(k + 2*k - k).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 705, 3 in ascending order.\nAnswer: -1, 3, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/4 and -77\/1514.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -67\/2 - -33. Let i = 79\/39 + -22\/13. Which is the smallest value? (a) i (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 56507530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 - 4*s**2 - 9*s - 6. Let n(w) = w**3 + w**2 + w + 1. Give -4*n(j) - q(j).\nAnswer: -2*j**3 + 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-711)\/6*(-1)\/(-18) and 179\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2230212113 - -1?\nAnswer: -2230212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (34\/(-3))\/((-55)\/8250). Solve -k + 1636 = 8*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11515, 11484, 11453, 11422, 11391, 11360?\nAnswer: 11329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4172*z = -3701*z - 17898 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -40, 3 in increasing order.\nAnswer: -40, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -350 + 768. Let g = d + -418.000001475. What is g rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q. Let d be (3\/(-9))\/(13\/39*1). Let l(j) = -6*j. Give d*l(o) + 8*n(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*l + 3779 = 3681 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 697338 divided by 6117\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -122 - -366. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4505*c**2 + 328850*c + 1095.\nAnswer: -5*(c - 73)*(901*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8\/11? (a) -4 (b) 1\/4 (c) 0 (d) 0.1 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 102807542821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 + 34*u**2 + 34*u + 52. Let z be v(35). Let c be (-1)\/(1 + 0) + -11. Let j be (-102)\/4*56\/c. Calculate the highest common factor of j and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 720 = -39*i + 2*i - 11*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/3696 and -19\/87388.\nAnswer: 11535216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((975\/20)\/39*9\/(-5))\/((-2)\/(-12))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-3)*(-76)\/(-304)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 480 or 492?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.003 - 146.003. Let g = m - -163. Let h = g + -19. Which is the nearest to 1? (a) h (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 4*i - 52, i + 23 + 42 = 5*v. Solve -3*o - 24 = 3*c, -14 = 16*o - v*o + c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 8*z**3 + 2*z**2 - 13*z - 2. Let j(b) = 15*b**3 + 5*b**2 - 25*b - 5. Let p(o) = -5*f(o) + 2*j(o). What is the second derivative of p(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 4*h + 81184 = 0, 5*o - 16244 = 4*o + h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -101*z - 1293. Calculate the remainder when u(-16) is divided by 75.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01009 to four dps.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 52180422313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 28*a - 10. Let k be y(5). Suppose k = 5*r - 1575. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:47 AM and 7:54 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -64.579783 to two decimal places.\nAnswer: -64.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 890, 1886, 2846, 3752, 4586, 5330, 5966?\n\"Answer: -3*t**3 + 1017*t - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 17131200 to the nearest one hundred thousand.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 8538, 8542, 8548, 8556, 8566, 8578, 8592?\n\"Answer: q**2 + q + 8536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -240, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.06143 and -10.4?\nAnswer: -0.638872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, 21, 58, -2, -5, 2 in descending order.\nAnswer: 58, 21, 5, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78600 and 50435?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -9 + 1411*g**2 - 3*g + 4*g - 1412*g**2. Let w = 12 + -12. What is b(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 26 (b) -2\/43 (c) 0.3 (d) -3\/10 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 10:13 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-1 + 16)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7185803?\nAnswer: 827, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 173766128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(3\/9 + 0). Let t be 4\/(2 + (-3 - h)). Suppose 0 = 4*y + 2*q - 120, -2*y + 6*y = t*q + 104. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 6838*z**2 + 1087240*z - 318.\nAnswer: 2*(z + 159)*(3419*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 3, k: 2, a: 8, h: 7}. What is prob of sequence hkh?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -80 + 143 + 37 + 12*i in the form w + b*i and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112577 is divided by 206?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 6*r. Let w(g) be the first derivative of -7*g**5\/15 - g**2 + 53*g + 183. Let m(k) be the second derivative of w(k). What is m(n(h))?\nAnswer: -1008*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28\/18)\/((-256)\/288)*3*(-4)\/42.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17672.1 - 17672. Which is the nearest to 2? (a) -0.6 (b) o (c) 1\/4 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40568498.\nAnswer: 2, 20284249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, z: 2}. What is prob of sequence zpz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 190 - 60. Let l = a - 5. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23636 - 6869. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1835231437 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 1\/1929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-2)*(-8)\/(-6). Suppose l*c - 4*c = -34. Let k = 0 - -4. Solve -2*s = -k*a - 35 + 13, 3*s - c = 2*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -657, -381, 853, 3045, 6195, 10303?\nAnswer: 15369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -19440, -19478, -19516, -19554, -19592?\n\"Answer: -38*s - 19402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the first derivative of 0*a**3 - 1\/5*a**5 - 10 + 0*a**4 + 0*a + 3*a**2. Find the second derivative of z(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**3 - 18*n**2 - 16*n + 20. Let h be f(-17). Let g = h - -42. Which is bigger: g or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddggdd. Give prob of picking 1 d and 1 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 25356.2 centimeters to micrometers.\nAnswer: 253562000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 26*d**2 - d + 1. Suppose 0 = 609*m - 605*m + a + 12, -3*a = 4*m + 28. Let w(u) = -u**2 - u. Give m*j(h) + w(h).\nAnswer: -27*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 6.248892 weeks?\nAnswer: 62988.83136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (88\/(-66))\/(-1*(-8)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**3 + 6*j. Let y(s) = -3*s**3 - 5*s. Let l(q) = -6*q**2 + 90*q - 6. Let o be l(15). Give o*y(b) - 5*c(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 100*y - 99*y + b, 60 = 3*y + 16*b - 4*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -4*m - 4, -17*m = -24*m - 3*v + 9. Solve 6*y - 9 - m = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of -d**8\/7560 - d**7\/1890 + d**5\/270 + d**4\/108 - 2*d**3\/3 + 47*d. Let c(k) be the second derivative of u(k). Factor c(a).\nAnswer: -2*(a - 1)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5930218 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 + 21*v**2 + 16*v + 11. Is o(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (141 - 320 + 128)*(d + 1 - 1) + d + 5*d - 3*d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 - 2*a**2 - 3*a + 3. Determine t(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from jvjvjjvvvj?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 13. Suppose -4*u + 3 = -3*y + g, y = -2*u + 11. Suppose 16 = 5*l - l. Solve -3*q + y = -l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/706 and -93\/20.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 25*a = 13500. Let c = -359 - a. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 836.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 672543607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 n when four letters picked without replacement from nbnnnnnnnb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i**2 - 9*i + 6. Let v be w(3). Solve 0*a = 2*a + v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -7*q**2. Let v(y) = 2751*y**2 + 12 - 12 - 2641*y**2. Give v(c(u)).\nAnswer: 5390*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-24)\/(-40))\/(1\/10). Suppose -l - 798 = h*l. Let x = -109 - l. Let y(b) = -b + 12. Give y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1507751497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -151150, -302347, -453542, -604735, -755926, -907115?\nAnswer: -1058302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 3*t - 3*a - 4129 = 0, -5*t = -2*a - 4126. Suppose -14*m = -t - 2. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkckkckkkcckkcckkc. What is prob of picking 1 k and 2 c?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21)\/(-7)*4\/16*(-76)\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 10 = 0, 10 = -2*u - 5*b + 21. Suppose 39*y + u = 40*y. Solve 12 = -4*g + 4*x, 3*x - x = -4*g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1448*p + 3241*p - 1804*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18153 - 8049. Does 52 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/23)\/f*(f\/(f\/f**7))\/f)\/(f**(-6\/5)\/f**0))**(1\/8) assuming f is positive.\nAnswer: f**(703\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1, -28, -101, -236, -451, -764, -1193, -1756?\n\"Answer: -3*w**3 - 4*w**2 + 4*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 3*h - 14 = -2*q, -2*h = -2*q + 2. Let t be (-36)\/(-54) + (-8)\/12. Suppose 41*s + 9*s - 200 = t. Solve 0 = s*v + v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 13, p: 3}. What is prob of sequence jpj?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*k + 239 + 226. Let d = k + -124. Is d >= -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a - -19a1?\nAnswer: 19ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(80) - -2*2*sqrt(5).\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 28\/10) + (-81406)\/505 + 80?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/14, -0.04, -460, -45\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*2 - (-1 - -3). Let v(s) = 4. Let r(d) = -d**2 + d - 3. Let q(z) = -z**2 + 47*z - 467. Let g be q(14). Let h(w) = g*v(w) + m*r(w). Factor h(y).\nAnswer: 4*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 22, 52, 100, 166?\n\"Answer: 9*n**2 + 3*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**6\/u)\/u**(-2\/9)*(u*u**(-2\/9))**23)\/((u\/(u\/(u*u**11\/u)))\/u**(1\/4))**(-1\/27) assuming u is positive.\nAnswer: u**(2539\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 6*m + 1. Let w(r) = r**3 + 9*r**2 - 13*r - 31. Let d be w(-10). What is l(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 10*y - 4. Let c = -138 + 141. Give l(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 8*c + 5. Let b = 4299 + -4293. Let z(m) = m**2 + 9*m + 5. Determine b*z(a) - 7*i(a).\nAnswer: 6*a**2 - 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d + 3*o + 3, 0*o + 2*o = -3*d + 3. Suppose 7*t - d*t = 28. Suppose 2 = 3*v - t. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4872*f + 2338*f + 2431*f + 349 = -2535 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -22, -1, -31486 in increasing order.\nAnswer: -31486, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppppxppmpmpppmpp. What is prob of sequence mm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2824 + -8?\nAnswer: 281b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 8*k - 10 = 3*k, 0 = 2*k + 2. Suppose -v*a + 25*a = 120. Solve i - 2*t = 6, 3 - a = i + t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 71 - 71. Solve 0 - 2\/3*d**3 + t*d + 2\/3*d**2 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 287879 (base 10) to base 8\nAnswer: 1062207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9565*b*o*r*u - b*o*u - 9*b*r - 7*b*u - 394*b - 55*o*r*u + 2*o*u - 7*o - 2 wrt r.\nAnswer: -9565*b*o*u - 9*b - 55*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26358238.\nAnswer: 2, 1571, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-938)\/66 - (1470\/(-1848) + (-24)\/(-96))?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/(-105))\/((-14)\/35). What is the closest to j in -5, 2\/11, -25?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 28063+47\nAnswer: 28110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (4\/12*-4)\/((-8)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -736 - -823. Which is smaller: p or 441\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -10.537 and -16.\nAnswer: -26.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1084 = 75*n + 334 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 4 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48528*x**2 - 48528*x**2 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 5) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/4038020 and 71\/14.\nAnswer: 4038020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -24945 take away 236.1?\nAnswer: -25181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 3*j = -1. Let w = 1438.1 - 1438. Sort j, w, 1\/2.\nAnswer: j, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**(-19))**34*k\/(k\/(k**5\/k))*k**(22\/5) assuming k is positive.\nAnswer: k**(-2848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**3 - 30*o**2 + 32*o + 93. What is h(28)?\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 5:43 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*o + 121 + 29 = 45. Solve o*h - 14 - 4 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of k**3 + 4. Let z(m) = 7*m**2. Determine -5*o(q) + 2*z(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**2 + 9*l + 37. Let n(s) = -s**2 - 19*s - 74. Let o(j) = -7*m(j) - 3*n(j). Differentiate o(i) with respect to i.\nAnswer: -8*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -186\/151?\nAnswer: -186\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 87285.303 microseconds to weeks.\nAnswer: 0.0000001443209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*c - 5*r = 27*c + 26196, 104736 = 8*c + 4*r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 140 and 20755.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 3*n = 3, n = 5*y + 5*n - 6. Let g(b) = 14*b. Let t be g(y). Let d = t + -16. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10664.9 + -10665. Let n = 0.07 - -2.93. Which is the closest to u? (a) 0.2 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10182180*c**4 - 2079378*c**2 wrt c.\nAnswer: -244372320*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 5*a**2 - 7*a. Let p(h) = -3*h**2 + 4*h. Suppose -4*c = -f - 29, 0*f + 4*f + 39 = 5*c. Give c*p(l) + 4*u(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -37004, -147910, -332712, -591410, -924004, -1330494?\n\"Answer: -36948*m**2 - 62*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 41, 1, 0, -60, 2, 127 in ascending order.\nAnswer: -60, -1, 0, 1, 2, 41, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 3*v = 39, v + 2 = 1. Calculate the remainder when 48 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2857039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -u**3 + 1956236 - 4545*u**2 - 1956236 - 4684*u wrt u?\nAnswer: -6*u - 9090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/2))**(7\/9)*(s*(s**2\/s)\/s*s)**9*(s\/((s\/((s*s\/(s**(1\/7)\/s))\/s))\/s)*(s**(3\/5)*s)\/s)\/((s\/(s\/s**6)*s)\/s**(-8)) assuming s is positive.\nAnswer: s**(3823\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*s - 0*s. Let g(d) = 7*d**2 + 5*d - 5. Let x(y) = y**2 + y - 1. Calculate s*x(v) - g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00089952 to 5 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zejz when four letters picked without replacement from eejjezeejejzee?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (8*f - 14*f - f - f**2)*(-2*f + 6*f + 5*f + 1 - 2*f**2) as q*f**3 + o*f**2 + x + z*f + c*f**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 140587763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 115559 or 284?\nAnswer: 115559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -6728\/3 + 377\/3*x + 50\/3*x**2 + 1\/3*x**3 = 0.\nAnswer: -29, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/17752 and -77\/2160?\nAnswer: 4793040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23 + 16. Let h(o) = -20*o - 1. Let x(l) = -124*l - 13. Let i(a) = -6*h(a) + x(a). Give i(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let g = 10781 - 194177\/18. Calculate the common denominator of g and 77\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -239 = h - 241 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 5 - (0 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 581*u - 19558 - 249 = 15725 - 4739 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 AM and 9:57 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u**2 + 8*u - 84. Let a(s) = -s**2 + 3. Give -3*a(o) + b(o).\nAnswer: o**2 + 8*o - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -200 - -200.1. Let g = 268 + -4018\/15. What is the closest to -1 in 1, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1377*c**2 - 610*c**2 - 675*c**2.\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -100040103 - 10?\nAnswer: -100040113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -123000303 (base 4) in base 2?\nAnswer: -11011000000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 60829131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -161*l - 70. Calculate w(-3).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(13) - (sqrt(13) - (sqrt(13) + sqrt(117)\/sqrt(9) + sqrt(13) + 4))**2) + -1.\nAnswer: -69 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -10*d + 44. Solve -4*b + d = -10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55324986317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + -11. Which is the closest to -6? (a) 5 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 - 3*d + (4*d - 6*d + 0*d)*(1 + 4 - 2) - d - 2 - d + d.\nAnswer: -10*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -4*x**2 - 370*x - 849. What is s(-90)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 39517, 1, -28, -5, -0.107?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 28 = -5*o + 6*o, -a - 4*o + 31 = 0. Find the third derivative of 55 + a*h**3 - 6 + 57*h**3 + 0*h**2 + 2*h**2 wrt h.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2059861462.6 to the nearest one million.\nAnswer: 2060000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -8*d**3 + 2*d**2 - 10*d + 5. Let i be l(8). Let k = i - -28244\/7. Calculate the common denominator of k and (-10)\/16*(-93)\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20 - 19. Solve -5*p = 9 + d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 27748 + -138738\/5. What is the closest to z in -1.61, -5, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1356906.\nAnswer: 2, 3, 17, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 390?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {y: 1, q: 2, u: 2, o: 4, s: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1063455473576 plus -5?\nAnswer: -4.8936544526424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 33, 3, 0 in ascending order.\nAnswer: -4, 0, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c - 8. Let j be a(-12). Suppose -5*h - 12 = 3*n, -5*h - n = -0 + j. Suppose 0 = y - x - 153, 2*x + 10 + h = 0. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) -3\/8 (b) 2 (c) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 53, 1\/5, 2, -37, 5\/6 in increasing order.\nAnswer: -37, 1\/5, 5\/6, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (40 + -1 + (3 - -7 - 13)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21024 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: Expand h**3 + 3*h - 3*h - 1 + (-142*h + 106*h - 124*h)*(-h + h + h**2) + 2*h + 2*h**3 - 2*h.\nAnswer: -157*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - k + 5*q + 12*q = -107, -38 = -2*k + 3*q - 2*q + 5*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4024 is divided by 361.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -15*(-12)\/14640*6*12\/27\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4 - -1)*((-88)\/(-528) - 67\/(-30)). Suppose l - 4 = 3*n + 6, 28 = 5*l - 4*n. Solve 4*s - l = q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18468 - 85568 = -11*v. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**3 + 535*h**2 - 15555*h + 65025.\nAnswer: -5*(h - 51)**2*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = -4*b + 11094 - 10985, 5*b - 9 = -5*h + 71 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 - 15\/6*2. Let n(i) = i**3 + 5*i**2 + i + 7. Let b be n(o). Is (b - 4)\/(4\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -33*h**4 + 28*h. Let m(y) = 16*y**4 - 14*y. Let d(k) = -11*m(k) - 6*w(k). Find the second derivative of d(j) wrt j.\nAnswer: 264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -11.61 * -0.8\nAnswer: 9.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 146*h**3 + 3*h - 3*h + 147*h**3 + 151*h**3 - 456*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - k + (-1 + 1 - k)*(6 + 0 - 4) + (0 - 6 + 2)*(4 + 2*k - 4) - 6*k - 5 + 5.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(96 + -69)*(-5)\/6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccciiccccccciccccccc. Give prob of picking 1 i and 1 c.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7795, -15590, -23385?\nAnswer: -31180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eyl when three letters picked without replacement from {s: 1, k: 2, l: 2, y: 1, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t - t - 46. Let z be 2\/(-6)*6\/t. Which is the second biggest value? (a) -1\/4 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 19*x - 94. Determine l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 279 - 282. Let r be (-4)\/(-5 - -1 - x). Sort 4\/23, -2, r in increasing order.\nAnswer: -2, 4\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzx when three letters picked without replacement from {z: 5, q: 4, x: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 16\/20*(-120)\/(-16) - -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 - -18857516.\nAnswer: 18857515.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (1796 - 1794 + w**2 + 45*w + 74*w)*(-2*w**2 + 2*w**2 - 2*w**2).\nAnswer: -2*w**4 - 238*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 761, 1543, 2343, 3161?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 142 + -53. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(0 + sqrt(891) + -3 + 4) - ((((sqrt(891) + (sqrt(891)*-1 - sqrt(891)))*-1)**2 - ((1*(0 + sqrt(891)))**2 - sqrt(891) - sqrt(891))) + -3)) + 3.\nAnswer: 9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*z - 38*z**2 + 16*z**2 + 3 + 19*z**2 - z**4 + 0 to the form m*z**3 + v + c*z**2 + d*z + o*z**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - a = 3*a - 720. What is the least common multiple of a and 660?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 23682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1068, -946, -824, -702, -580?\n\"Answer: 122*x - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 138 divide 18854899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/315 and -86\/189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/(-5))\/(10\/(-100)). What is the nearest to -9 in z, 1\/2, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-1\/5)*n**(-5\/2)*n**(-1\/2)*n*n**5*(n\/n**5*(n*n*(n*n**(-3))\/n)\/n)**(-5) assuming n is positive.\nAnswer: n**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21076677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -507.3940135 to the nearest integer.\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y + 10 - 16. Let m be (-36)\/y*-4*(-5)\/(-60). Let i = 8 + -8.3. What is the smallest value in m, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zdfzzfzozfozdazzno. Give prob of sequence oaf.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -7*y**2 - 1. Let k(d) = 6*d**2 + 1. Determine -4*i(g) - 5*k(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -2, -9 in decreasing order.\nAnswer: -0.2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 300*o**6 - 2*o**5 - 10*o**2 + 7 wrt o.\nAnswer: 36000*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -8805 less than 1?\nAnswer: 8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, i: 7, k: 2, g: 1, v: 4}. What is prob of sequence gik?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.037 - 0.437. Let l = 20 + -25. Which is the nearest to -1\/3? (a) v (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*n + 15 = 24*n, -4*l - 9 = -n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15.046 - 15. Let c = -0.054 - r. Let k be (-4)\/10 - (-1)\/5. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-48)\/(-30))\/(1\/5). Suppose -a + 816 = 5*b - 2*y, 5*b = -y + 796. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 157 divide 891747126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 3*n - 15. Let z be v(6). Let k be (z\/(-4))\/(525\/(-200)). Suppose -5*l = -46 - 29. Is l not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1197*o - 443*o - 3 + 491*o + 1.\nAnswer: -1149*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(78)\/(sqrt(18)\/sqrt(3)) - (-4 + -1 + sqrt(13)) - (sqrt(637) + (sqrt(637) + sqrt(637) + -1 + sqrt(637))*1 + 0 + sqrt(637)*-2).\nAnswer: -14*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 1:29 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 9:31 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10819 or 10811?\nAnswer: 10811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d = -3*m + 20, -m - 192*d = -195*d - 3 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -0.1 (c) 96968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.01 + -2.93. Let s = a + -0.08. Let h be 15\/10*(-2)\/(-6). Sort 2\/3, h, s in increasing order.\nAnswer: s, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 595\/(-55) - 3*6\/99. Let p(f) = -f**3 - 10*f**2 + 10*f - 2. Give p(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -150 + 1048\/7. Let u = 1\/2437 - -9741\/17059. Sort -0.3, h, u.\nAnswer: -0.3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, g: 3, r: 7}. What is prob of sequence ggrn?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 83850893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-64)\/(-1) + -1 + 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 11*k. Let l be x(10). List the prime factors of -1 + 3 - l\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o - 14. Let i be u(15). Let n(a) = 152*a**3 - a**2 + 4*a - 3. Is n(i) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3292200*m**2*n + 3*m**2 - 6*m*n + 1319*m - 3*n + 13 wrt m?\nAnswer: 6584400*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kknnnknnnkn. What is prob of sequence nknk?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -4*v**2 + 111*v - 55*v - 57*v - v**3. Let n be t(-4). Let u(c) = 2*c**2 - 9*c + 15. What is the remainder when 21 is divided by u(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.017 and -0.1.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - z + 3*z)*(z - 5*z + 2*z) - 914*z**2 - 32*z + 1827*z**2 - 914*z**2 + 0 + 0 + 2*z**2 + (-z - 3*z + 2*z)*(z + 0*z - 2*z).\nAnswer: -5*z**2 - 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2*u + 4)*(5 - 5 + 1) + 0*u - 2*u + 4*u + 0*u + 2*u - u + 3*u + u - 2*u + (0 + 3 - 2)*(-u + 5*u - 2*u) - u + 1 - 1 + 3*u - 2*u + 0*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -274 + 268. Let r(o) = -2*o**3 - 7*o**2 - 20*o - 5. What is the hundreds digit of r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11637600257\/1092 - -223882325\/21. Let c = m + -3920. Let z = c + -4197\/4004. Calculate the common denominator of z and -9\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 552\/30 - 22 - (-3 + (-1)\/2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((36\/1008)\/(9\/21))\/(16\/(-6))\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -4, -33, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c - 3*c + 4*c)*(6*c + 4*c + 0*c)*(0 + 7*c + 0).\nAnswer: -210*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -34 - -39. Let v = -1 + g. Put v, 0.01, -3 in increasing order.\nAnswer: -3, 0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence db when two letters picked without replacement from tttxdxtxbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-4*(((-4 + -1*sqrt(1100) + 5)*3)**2 + 0)*6.\nAnswer: -17280*sqrt(11) + 951264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010010001101 - -1000101110000101?\nAnswer: 1011000000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 8. Let f(w) = -6*w - 1. Let p be f(y). Suppose -p*j - 11 = -226. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fvq when three letters picked without replacement from {v: 2, f: 6, q: 2, z: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 38083405\/2 or 19041704?\nAnswer: 38083405\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -258*5\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of n**5\/60 + n**4\/12 - 2*n**3\/3 + 69*n**2 + 90*n. Let z(j) be the first derivative of d(j). Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 2 - (1 - -6 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - 73. Let a be k\/(-14) + 1\/7. Solve a*z = 8 + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/6)\/(2\/15). Let d = -1852 - -1854. What is the greatest common divisor of w and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -724 less than -1740874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 439095053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4122 (base 6) to base 4\nAnswer: -32102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k**4 - 3*k**4 + 21*k - 20*k**3 + 2*k**2 - 19*k + 2*k**3 - 21*k**3 as s*k**2 + u + b*k**3 + w*k**4 + i*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from syysssyyssyyy. Give prob of sequence sy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 1 = 7. Let d(z) = -5 - 4*z - c + 13*z. Let u(r) = 5*r - 4. Let b be 18\/3*(-2)\/4. Calculate b*d(g) + 5*u(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 7:07 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*d**2*i**3*t**2 - 2*d**2*t - 3*d**2 - 261*i**3*t**2 - 11*i**3 + 1 wrt t.\nAnswer: -6*d**2*i**3 - 522*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -243390996.6 rounded to the nearest one million?\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 1507356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -3 + (126\/35)\/(162\/(-180)*4\/9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -1. Let t(y) = -3*y - 15. Let p(a) = 9*q(a) - t(a). Let x(o) = -3*o - 5. Let i be 25\/10*(-16)\/(-10). What is i*p(m) + 5*x(m)?\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 20*y**2 + 19*y + 6. Let f be i(-19). Suppose 3*d = -4*m + 776, -f*m - 2*d + 772 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000010446 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 128 + -71. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -2\/3, 1\/5126.\nAnswer: -2\/3, 1\/5126, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*a + 72 + 13 = 0. Suppose 14*c + 2*t = 13*c + 362, 0 = -a*c + 4*t + 1852. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 147, 249, 339, 411, 459, 477?\n\"Answer: -c**3 + 109*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -81072, -162149, -243226, -324303, -405380?\n\"Answer: -81077*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -753*o. Let i(j) be the third derivative of -5*j**4\/24 + 4*j**2 + 6*j - 8. What is i(s(m))?\nAnswer: 3765*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2283119753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -221555 (base 8) in base 5?\nAnswer: -4341410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 330*l + 7. Suppose 0 = -2*g - p + 13, -4 = 4*g + p - 27. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/8*5044\/970)\/(3\/(-24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/30)\/(10\/75)*(-4)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3 = 0, 5*w + q - 2*q - 38 = 0. Let h(j) = -j**3 + 8*j**2 - 3*j - 6. List the prime factors of h(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-25*130\/318500)\/((-4)\/7)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 253450 and 740.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z - 2*z + z + (-2 + 3*z + 2)*(11 - 14 - 13) - 4*z + 4*z - 5*z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -10579, -21160, -31741, -42322, -52903?\n\"Answer: -10581*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 9:23 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1953 and 15190?\nAnswer: 136710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.664 + -0.336. What is the nearest to -1\/3 in 0.01, -2, a?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -0.03 (c) 266140 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/4*8\/(-6). Suppose 0 = -3*z - 4*h + 38, 108 = 4*z - 2*h + 28. Let b = z - 13. Solve -t = 2*c - 5*c + i, b*c = -t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12663?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331 - -11231?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(855\/(-7885)) + 5\/((-10)\/12)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (12 - 17) - (-1 + 5 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 783134831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j - 2*j**2 - 5 + 4 - j + 2*j. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 5 = q, -5 + 0 = -k - 4*q. Let c(t) = t**3 - 6*t**2 - 15*t - 10. Let h be c(8). List the prime factors of (7 + -1)\/(h\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + 1. Suppose -2*t = p - 13, -3*p = 2*p - 5*t - 140. Suppose p = o*h + 3*b, -5*b - 15 = -h - 3*b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 7974*d + 22757. Give f(-3).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.2, -0.1, 4.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/6)*n*n**4)\/((n*n**(-5))\/(n*n**(-6)\/n)) assuming n is positive.\nAnswer: n**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.09 - 0.14. Let f = -1\/30 - -13\/30. What is the nearest to y in f, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -64.96712 to 1 dp.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -41786*g - 1. Let c(p) = 4919*p. Give o(c(l)).\nAnswer: -205545334*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 128*w + 1844. Is 23 a factor of c(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 238384, 476769, 715154, 953539, 1191924, 1430309?\n\"Answer: 238385*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11886?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 8*b - 71. What is s(-3)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 37536 = -8*h + 11*h, 50046 = 4*h - 6*n. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4.78 (b) 0.2 (c) 0.5 (d) 3 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -81, -41, 27, 123, 247, 399?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 divided by -640.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 948659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 6*s - 770. Let m(f) = 2*f**2. What is a(m(z))?\nAnswer: 12*z**2 - 770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/8 - 905\/(-20). Suppose 0 = 2*c + 74 - 54, 2*d = -0*d + 5*c + 62. Solve 13*q - d - h = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1418311*j**3*q - j**2 - 28792*q + 1 wrt j?\nAnswer: 8509866*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - p. Suppose 2*c - b + 3 = 0, 2*c = 3*b - b - 8. Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, 0, -3\/604, -3\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 6. Factor -p**f - 5*p**4 + 4*p**4 + 4*p**2 - 2.\nAnswer: -2*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 242*t**2 + 489*t**2 - 18*t - 249*t**2 - 2 to the form u*t**2 + c + b*t and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 12:43 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {t: 2, r: 11, l: 1}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -2\/13, 2\/11, -354, 829?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 784056 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1150967 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 171*p + 179*p - 366*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -54171 times -409?\nAnswer: 22155939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 115\/11424 and -67\/26656.\nAnswer: 79968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -25*j + 267. Determine r(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 86*y - 78*y. Let p(w) = -4*w**3 - 6 + 3*w**3 - 2*w + w + 4*w**2. Let k be p(y). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 1. Let d(p) be the first derivative of p**5\/120 + p**4\/24 - 13*p**3\/3 + 12. Let x(m) be the third derivative of d(m). Calculate x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) 22 (c) 3\/5 (d) -332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d + 8. Let l be y(6). Let j(b) = b + l*b + 0*b. Let w(o) be the third derivative of o**5\/30 - 14*o**2. Give w(j(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 11018476289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m**2 + 564*m + 828 = 0. Calculate m.\nAnswer: -69, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**4 - 184*k**3 + 4044*k**2 + 8648*k + 4418 = 0. What is k?\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 1801257 by -19.\nAnswer: -94803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4 - 27*d**3 + d**2 + 27*d.\nAnswer: -d*(d - 1)*(d + 1)*(d + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be 18\/(-4)*(-64)\/(-48). Let m(q) = 2*q**2 + 15*q + 18. Let n be m(d). Put n, -6, 2, 3 in descending order.\nAnswer: 3, 2, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 209048?\nAnswer: 2, 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 367760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.158*0.3\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 - (-29 + 20 + 26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*j - 92840 - 767059 = 2354787. What is the ten thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18051 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, x: 2}. Give prob of picking 3 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 + 7*g + 8. Let f = 247 - 239. Calculate t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 18*a + 30. Calculate the remainder when h(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 52d057a - -1?\nAnswer: 52d057b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-6)*(-16)\/(-24). Let z = -2 - -2. Let t = 8 - 13. Which is the second biggest value? (a) n (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hbyyooyohzyyoyoohzoh. Give prob of picking 2 h and 1 z.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/7 in 2\/31, 2\/9, 1019, 15?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from qqqnbqnfqqqqbqbff.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 249 times 34730?\nAnswer: 8647770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2.98, -7.2, -4, 14, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133391490.\nAnswer: 2, 3, 5, 23, 97, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 37 - (861\/6888 + 126\/16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 140735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1208, -1164, -1244, -1574, -2280, -3488, -5324, -7914?\nAnswer: -11384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -959245.37 less than 7?\nAnswer: 959252.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -167\/294 and 67\/18?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(-6) - (4 + (-23)\/(-69)). What is the fourth biggest value in -1\/11, 1, c, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 227, -0.1, 2\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010001101100010110010 (base 2) to base 8.\nAnswer: 12154262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 84 = 15*n, -6*n + 3 = -5*n - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l - 35 = 19. Let f be 1*(l\/2 - -5)*0. Solve f = 4*w - 12, 5*b - 4*w + 1 = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -716*c**4 + 3*c**3 - 6*c - 795. Let y(z) = -716*z**4 + 4*z**3 - 8*z - 796. Let m(h) = -4*q(h) + 3*y(h). Differentiate m(r) wrt r.\nAnswer: 2864*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes before 1:58 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*b = -13*b + 2*g - 5, 0 = 5*b - 13*g + 8*g - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 12 = -d, 2*d = -c - 3*d + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 10:45 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**36*(f*f**(1\/5))\/f assuming f is positive.\nAnswer: f**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14059441051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 25120 (base 6) to base 9.\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12 + -7. Suppose a*o - 3 = 2*o. Let d = 7 - o. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101100111001000001 (base 2) to base 14.\nAnswer: 4b01b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -150 (base 7) to base 2\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 14*w**2 - 7*w - 77. Let y(b) = 5*b**2 - 2*b - 26. Let z(a) = -6*o(a) + 17*y(a). Calculate the least common multiple of z(-18) and 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5796 + 55*r - 5796.\nAnswer: 55*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 + -13. Let t = k + 3. Let b(f) be the third derivative of f**5\/60 - f**4\/12 - f**3\/2 - f**2. Give b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04350551 to four dps.\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -760751.7 and 0.2?\nAnswer: -152150.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27 divided by 27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1506490, 3012979, 4519468, 6025957, 7532446?\nAnswer: 9038935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hyh when three letters picked without replacement from {h: 3, y: 4, n: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -141796 divided by 3355.\nAnswer: -141796\/3355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 33 = -z - 53, 5*z = -10. Calculate the smallest common multiple of 10 and (-1)\/(-3) + (-35)\/r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 1188 + 2283 + 400*c - 891 + c**2 - 6*c**2.\nAnswer: -5*(c - 86)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6017 - -6017.4. Sort 2, o, -10.43 in ascending order.\nAnswer: -10.43, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/9 - (-17 + 505820\/1020). Is -479 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1264\/56 + (3 - (7 - (-8 - 4)))?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -1\/8, -114?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 843183*0.06\nAnswer: 50590.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - (2 - 4))\/(4\/106). Suppose -49*b = -a*b - 1496. Let k = b - -558. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 25635 + -3?\nAnswer: 25632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9234 and 146539989.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4569, -4589, -4663, -4815, -5069, -5449?\n\"Answer: -4*d**3 - 3*d**2 + 17*d - 4579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the third derivative of 23*v**4\/8 - 31*v**3\/6 + 18*v**2. Differentiate c(t) wrt t.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27007817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12349*0.5.\nAnswer: -6174.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - 7*i + 10. Let f be m(8). Let j = 13 - f. Let r = 16 + j. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6*c = -56. Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/(-5) + -1)\/((-92)\/(-115)). Let -1\/4 + z**4 - x*z**2 + 5\/4*z - 5\/4*z**3 = 0. What is z?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= -1\/4615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2831974787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 10:17 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3175 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -78998, -153549, -228100?\n\"Answer: -74551*u - 4447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from phfzehs. Give prob of picking 1 p and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/5 (b) -1.5 (c) -0.0824 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 27*s + 44*s + 11791 - 94790. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -1 + (-5 - (1 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13078 - 13055. Solve 0 = -5*g - 28*q + x*q + 10, -4*g + 29 = -3*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbbxbxxxb. Give prob of sequence bx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the third derivative of l**4\/8 + 5*l**3\/6 + 16*l**2. What is j(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 4*d = 9, 0 = 2*t - 8*d + 12*d + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2115 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 10*n**3 - 212*n**2 + 600*n - 11715. Determine u(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, a: 15, j: 2}. What is prob of sequence jqqq?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(5\/3))\/k*k**(-3\/4)\/k)**(-2) assuming k is positive.\nAnswer: k**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 39 - 55 + 30 + 10 + a**2 + 11*a. Calculate v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 15, -h + 14*m + 51 = 19*m. Solve -31*j = n - h*j - 14, n - 18 = 7*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -723*z + 238*z - 1332*z to i*z + u and give i.\nAnswer: -1817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -7*t - 18. Let v(a) = -a**3 - 6*a**2 + 7*a - 6. Let b be v(-7). Let h = 9 + b. Put t, h, 1 in decreasing order.\nAnswer: h, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1 + sqrt(2299))**2 + sqrt(2299) + 1*sqrt(2299)*-2 + -4 + -1.\nAnswer: 11*sqrt(19) + 2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-3*sqrt(176) + 2.\nAnswer: -12*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 - 7*f**2 - 75*f + 19. Let r be s(-6). Suppose 0 = -4*z + 5*u + 17, 0 = -5*u - 5. Sort z, -26, -4, r in increasing order.\nAnswer: -26, -4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-296 - -277) + 127 + (-4 - 3) + 12\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4513271467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.5, 12, 1 in increasing order.\nAnswer: -5, -0.5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27979, -27944, -27885, -27802?\nAnswer: -27695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s - 28698958 + 28698958 - 38*s + 2*s.\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + y**2 - y + 3. Let n be i(3). Suppose n*h - 37*h = 3696. What is the hundreds digit of h\/(-26) - 14\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 9, f: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 2\/19, 0.3, -2, 0.24, 0.30284?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, -0.1, -7569, -3.2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 42\/(-112) + 1401\/24. Solve 0 = -y*h + 54*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 8*z**2 - 2 + 4*z**3 - 8*z**3 + 3*z**3 - 4*z. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the second derivative of 1453*u**5\/20 - 309*u**4\/4 + 854*u. What is the third derivative of w(y) wrt y?\nAnswer: 8718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -19549 (base 10) to base 6.\nAnswer: -230301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the third derivative of -61*g**7\/70 - 25*g**4\/24 - 303*g**2 + 2*g. What is the second derivative of x(c) wrt c?\nAnswer: -2196*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2 - 7*u - 16. Suppose 7*n = -n + 56. What is the units digit of z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -0.4, -19, -4 in increasing order.\nAnswer: -19, -4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 15*(-17)\/459*(-2)\/5. Let l(w) be the second derivative of 4\/3*w**2 - 11*w - 1\/3*w**4 - n*w**3 + 0. Factor l(u).\nAnswer: -4*(u + 1)*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o**2. Let z be w(-2). Does 5 divide (10\/6)\/(2\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*a + 3*a, -5*q = 3*a - 2. Let x(h) = h + 84. Let d be x(0). Let g be (-1)\/a + d\/16. Solve g*f = -y, 4*y - 3*y + 3*f = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 330 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 495 divide 1672338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (14\/(-35))\/(1\/30). Let t be (-10)\/(-3) - (-4)\/y. What is the derivative of -z**t + 4*z**3 - z**3 + 1 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbabbabbabaababbbb. What is prob of sequence bb?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -4*o**3 + 4*o**2 - 4*o + 2. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 - 10*m**2 + 17*m + 6. Calculate f(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, o: 2, u: 3, v: 2, j: 4, q: 1}. Give prob of picking 1 v, 1 j, 1 u, and 1 q.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 5 = 5*z + 14, -3*t - 2*z - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -5, 7\/2, 5\/72?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from noovbboovvaqaqbabn. What is prob of picking 1 v and 1 a?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3974*s + 1659*s + 178755 + 63464 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5836272807.0000087 + 5836272477. Let s = z - -330. Round s to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 + -1100202120112011?\nAnswer: -1100202120112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2000 or 2001?\nAnswer: 2000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -430 + 430.2. Which is the second smallest value? (a) x (b) -1\/4 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -650\/9 + 72. Let f be 0\/3 + -9 + -2. Which is the third biggest value? (a) g (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 36989?\nAnswer: 2\/36989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(110) - (sqrt(110) - (-2*sqrt(110) - sqrt(110))*-4)) + -1*-1*sqrt(110))*4)\/((-6*sqrt(90) + -5*(sqrt(10) - sqrt(10)*2))*-1))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 + 0.07046033?\nAnswer: 0.17046033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + 2*h**2 - 25*h - 216. What is the tens digit of n(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.142 + -0.142000385. Round x to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 1 = 4*c + 19, c + 4 = -i. Suppose -2*x - 32 = -5*p, 0 = -p - 6*x + x + i. Solve n = -2 + p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-35)\/4)\/(-6 - (-2193)\/408)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/((-6)\/26)*20\/(-190)*-19\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -68756612 + 48056612. Round n to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s - 5 + 5 + (-13 + 13 + 5*s)*(2 + 2 - 1).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -3, 1\/4, 3\/2, -0.5, -2\/47 in ascending order.\nAnswer: -3, -0.5, -2\/47, 1\/4, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5155463 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + (-3)\/(3\/(-1)). Suppose -l - 2*l - p*q + 8 = 0, -2*q + 8 = -4*l. Suppose -5 = s - l. Which is the third smallest value? (a) s (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (15 + -7 - -105)*11.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1774282220.\nAnswer: 2, 5, 59, 617, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13679, 13880, 14081?\nAnswer: 14282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*(-8)\/6 + 0. Let p(h) = -3*h**3 + 3*h**2 - 5*h + 8. Let n(b) = -b**3 + b**2 + 1. Let o(q) = 2*n(q) - p(q). Is o(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.8, 0.68 in ascending order.\nAnswer: -4, -0.8, 0.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -127 greater than -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 86.851 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0*n = 6*n. Let k(j) = 20*j**2 - 21*j - 2. Let z(w) = 7*w**2 - 7*w - 1. Let g(m) = -6*k(m) + 17*z(m). Let f be g(5). Solve f*b - 1 - 9 = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 74954 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -274185 take away -0.248628?\nAnswer: -274184.751372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 15*a**2 + 16*a**2 - 12*a**2 + 0 to the form p + r*a**2 + q*a and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.3076 (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2249, 8529, 19005, 33677?\nAnswer: 52545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -5 (c) -13 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-3 + sqrt(176) + 1 + -3*sqrt(176)).\nAnswer: 4 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1532)\/(-16))\/(2\/16). Suppose 0 = f + 5*x - 383, m = 2*f - 2*x - x. List the prime factors of f.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j - 5*j + 5*j)*(0*j + 0*j - 4*j)*(-1 + 2 + 1).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 756372\/32 - 12\/64*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = -33*d - 74, -2 = -d + 9446*a - 9445*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -750, -740, -720, -684, -626, -540?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-268036806)\/(-7245) + (-10)\/15. Let v = 184978\/5 - s. Let d = v + -4\/161. Which is the nearest to -2\/5? (a) -0.2 (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3315, 26301, 88673, 210123, 410343, 709025?\n\"Answer: 3282*c**3 + c**2 + 9*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42352935.\nAnswer: 3, 5, 2823529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, f: 1, s: 8}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 0.2 (c) -4 (d) 52 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 + 43*r**2 + 47*r - 132. Let w be (-9 + (-14)\/7)*-4. Let u be k(w). Solve u*o + 20 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/27 in -3, 0.2, 48, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/2)\/(9\/(-360)). Let i be (y - (6 + -3)) + 0. Let z be ((-3)\/6)\/(1\/(-38)). Calculate the greatest common factor of z and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 119\/3 - (-3)\/9. Suppose q + 4*q = w. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/3)\/(3 + 940\/(-315)). Let l = k - 18. Let w(r) = -9*r**2 - r**3 + 7*r + l*r**2 + 7 + 0*r**2 + 2*r**2. Give w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 348043666 to the nearest integer?\nAnswer: 18656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 528 is divided by 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-12)\/(-5)*(-20)\/3. Let x = p + 12. Let c(o) = -o**3 + 1. Is c(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -69*h - 81*h - 99*h + 0 - 13. Let o be a(-6). Suppose 0*z - 3*z - 5*n = -o, -4*n = 4*z - 1964. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 5*f + 6. Let z(m) = -9*m - 9. Let d(a) = -5*a - 5. Suppose -10*p - 24 - 36 = 0. Let i(s) = p*z(s) + 11*d(s). Give 11*i(v) + 2*n(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -0.1, 3177, 28\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 80.3355 millennia?\nAnswer: 80335.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 61 + 2112. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 5 + (-6 + 3 - 1)*(0 + 1 + 1))*(0*v + v - 4*v) + v + 4*v - 4*v + (-2 - 2 + 2)*(0 + 2*v + 0).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 1\/120*b**5 + 0*b + 0*b**3 + 4*b**2 - 5 + 1\/96*b**4 + 1\/480*b**6. Let f(c) be the second derivative of r(c). Factor f(v).\nAnswer: v*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 AM and 10:30 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -2*d - 2*d. Let b(o) = 2*o**2 + 2*o - 2. Let n be b(d). Suppose -7*t + 20 = -6*t. What is the highest common factor of t and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 2*s - 28. Suppose -2*l = -19 + s. Solve y + 29 = a - l*a, -2*y - 18 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3*j = -72, 2*j + 46 = 71*s - 70*s. Let c = -5 + 2. Let y = c - -5. Solve -y - s = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11417 divided by -1631.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 2*o - 1. Let a be 40\/25*(-10)\/(-4). Suppose -4 - a = -4*k. Solve 0 = -l + k*p + o, 1 = l - p - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of -32*i**3\/3 + i + 27551. Suppose 3*h + 1 = 4. Give j(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49 + 156 + -123 + -45.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8.159 - 0.361. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - -8. Let n = 2 - r. Let f be (-4 - -2)*n - -24. Solve -2*z = 4*j - f, 0 = -4*z - 0*j + 3*j + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 87532.6 millilitres?\nAnswer: 87.5326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 56? (a) 110\/29 (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 17 - p**2 - 85*p + 84*p + 58. Let u be x(0). Let r = -72 + u. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.658 + -60.342. Let d = x - -137.5. Round d to the nearest integer.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 297 divided by 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (-10 + 15 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -361953 in -3, -0.3, -0.1, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 35 - 31. Let t be (-27)\/4 - z\/16 - -3. Sort t, 5, -2, -3 in descending order.\nAnswer: 5, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 - w + 2 + 4*w**2 + w**3 - 1. What is the units digit of v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -534*j - 2658. Let q be b(-5). Solve 51*g - 54*g + q = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lnlm when four letters picked without replacement from {i: 2, l: 2, n: 4, m: 5, k: 1}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 12) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the third derivative of s**4\/12 + 14*s**3\/3 + 729*s**2. Let w(q) = -q - 9. Give 3*o(g) + 8*w(g).\nAnswer: -2*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -123, -1\/12, -40, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2103433 (base 6) to base 16\nAnswer: -18e0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*u + 8*u + 6*u**3)*(-5 + 0 + 3 - 2*u) + 10 - 10 - 5*u**4.\nAnswer: -17*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pkkkpkkkpkkkkkk. What is prob of picking 1 p and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*q - 22 = 168*t - 170*t, -5*t = q - 108 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum -205303013 and -0.136.\nAnswer: -205303013.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*r = 4*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36*100\/(-2000)*(-3690)\/81.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 46112 and 189688?\nAnswer: 8346272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18394, 18249, 18104, 17959, 17814, 17669?\nAnswer: 17524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of 2*l**5\/5 - l**4\/4 - 58*l**2 + 2039*l - 6102. Differentiate f(q) with respect to q.\nAnswer: 8*q**3 - 3*q**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -2*o**4 - 32*o**3 - 126*o**2 + 32*o + 128 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 137 + -98. Let r = t + -39.3. Let p be 4\/30*(-40)\/24. What is the smallest value in -1\/2, p, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(34) + sqrt(136)\/(sqrt(12)\/sqrt(3)) + sqrt(272)\/(-2*sqrt(8)))\/((2*sqrt(98) + sqrt(2))*5).\nAnswer: sqrt(17)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 9 - (-10 - (-13 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -81*b - b**2 + 242*b - 98 - 73*b - 80*b to k*b**2 + n*b + y and give y.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 - -2. Let j = -5 + u. Round j to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3084 is divided by 1008?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be 22\/(-4)*(-8)\/(-4). Let b = -12886\/5 - -2577. What is the third smallest value in a, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2735*w**3 - 458*w**3 - 3*w + 1643*w**3 + 3*w.\nAnswer: 3920*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum -1798 and 3.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2399245 or -2399309?\nAnswer: -2399309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 142 - d**3 + 15 - 22. List the prime factors of g(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + 115\/138*(-6)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 - 14 = -u + 5*b, 0 = 5*u + 2*b - 42. Let i(r) = -r**3 + 20*r**2 - 25*r + 119. Is i(u) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 909526671\/152 + -5983702. Let p = -408\/19 + d. What is the common denominator of p and (-42)\/(-16) - (-1)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004510730931 to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -2*c**2 + 10*c - 30. Let h be s(6). Let j = 56 + h. Let r(o) = -j*o + 7 - 1 - 1 - 11. Let n(d) = 5*d + 2. Determine -8*n(x) - 3*r(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 1210972254 + -0.0009.\nAnswer: 1210972253.9991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-57 - 46 + 134)*(-k + 5*k - 2*k)*(-3 + k - 2*k + 8)*(2 + 3 - 3).\nAnswer: -124*k**2 + 620*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -50, -46, -42, -38, -34?\n\"Answer: 4*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 35.676 + 45.324. Do 0.3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 78.623 + -78.12301. Let v = o + -0.5. What is v rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 350620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -496*g + 111*g**2 + 6*g**4 - 8*g**4 + 498*g as r*g + p + j*g**3 + u*g**2 + v*g**4 and give u.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -122003*z - 20. Let g be h(-15). Suppose v + 2*a + 3*a + g = 0, 5 = -a. What is v rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.1, 100, -0.5, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -7025 (b) -0.71 (c) -2\/5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*p)*(1033*p + 1155*p - 658*p + (-p - 2*p + p)*(1 + 3 - 6) + 1 - 2*p - 1 + 1 - 1 + p).\nAnswer: 3066*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be -13*-1*1 - 1. Let c(z) = z**2 - 1. Let r be c(1). Suppose 0 = -r*t + 2*t + 4, 2*s = 2*t + g. Solve 3*p = -4*j + s*p - 5, -3 = -2*j - 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3046491770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 494100 to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -z**5\/60 + 17*z**4\/6 + 70*z**3\/3 - 4019*z**2. Determine o, given that j(o) = 0.\nAnswer: -2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3 = -2. Which is greater: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(16\/14)*224\/98?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11.7703072 + 11.762. What is s rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 1:42 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1))**(-39)*(z**(1\/3)\/z)\/((z\/((z**(1\/3)*z)\/z))\/z*z))\/((z**0\/z)\/(z**(1\/4)*z)*z**(-6)*z**(1\/2)) assuming z is positive.\nAnswer: z**(545\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -3*a**2 + 2*a + 2. Let s be h(2). Let l be (-2)\/((s\/(-2))\/3). Let w be (60\/45)\/(l\/(-3)). Solve -2*g = -2*k - 4, -3*g + w*k + 6 = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.49 - -0.01. Let z = -0.5 + v. Let s = -221\/9 + 73\/3. Which is the smallest value? (a) s (b) z (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (11 - 13 - (2 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 2\/3 (c) 5\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26363.\nAnswer: 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r + 11. Let f be w(-2). Solve k = 4*j - 0 - f, -4 = 3*j + 2*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 - a**2 + a**2 + (-4 + 4 - a)*(-2*a - 3*a + 3*a) + a + 2*a**2 - a)*(-25 - 2*a**3 + 25).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (97 - 163) + -9 - -140?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4*39\/24*-2. Let 4 - 14*c**3 + c**2 - 6*c - f*c**2 - 3*c**2 - 9*c**2 = 0. Calculate c.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31784411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 - -1) + (1 - -1). Suppose 5*q = 10, 0*p + 48 = 3*p + 3*q. Sort p, o, 5.\nAnswer: o, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -316 - -312. Which is the third biggest value? (a) -29 (b) -3\/13 (c) -2\/9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -589032\/7 + 406876\/7. Let b = g + 25970. Let f = b + 52. Sort -0.3, 3\/7, f in decreasing order.\nAnswer: 3\/7, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 7*k**2 - 127*k - 1. Calculate h(9).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -173, -1467, -4979, -11819, -23097, -39923, -63407?\nAnswer: -94659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 - -79. Let y = 66 - n. Let u(l) = 32*l - 5. What is the units digit of u(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 6*a - 7*a. What is the greatest common factor of 25 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 4876660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(3\/8)*t*t**(-2)*(t**(-5)\/t)\/(t\/t**0) assuming t is positive.\nAnswer: t**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -157, 1, 5, -4 in descending order.\nAnswer: 5, 1, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 23c - b6c?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 12:36 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 10*y**3 + 60*y**2 - 5. Suppose 5*b - 10 = -2*q + 2*b, -2*q - 4*b = -10. Let r(c) = -c**4 - c**3 + 1. Let p(o) = q*r(o) + z(o). Factor p(a).\nAnswer: -5*a**2*(a - 4)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 4*o - 860, f - 140 = -2*o + 70. Suppose -2*x - 4 + 0 = 0, t - f = -x. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of -q**8\/420 + 17*q**7\/1050 + 26*q**6\/75 - 293*q**5\/300 - 31*q**4\/10 + 18*q**3\/5 + 10*q**2 + 28. Solve z(w) = 0.\nAnswer: -6, -1, 1\/4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + s - 21 = 0, p + 2*p + s = 61. Solve 5*v = -4*r + p, 0 = -3*v - v - r + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let d = 743 + -751. Let k(q) = 26*q**3 + 8*q**2 + 3*q + 8. Let o(b) = -9*b**3 - 3*b**2 - b - 3. What is d*o(i) - 3*k(i)?\nAnswer: -6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 631547333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 4*n + 140 = 0, 2*b + 250 = -0*b - 2*n. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 6 + 30 - 9 - 10*j - 13.\nAnswer: -10*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*s + 59. Let n = s - 17. Solve -4*x = -3*t - 1, -3*x + 0*t - 2 = -n*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 339*d + 14 = 335*d, 2*r + 5*d + 31 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -463, 2, 0, -4.\nAnswer: -463, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*n - 56*n - 59 = 5*y, 5*n + 3*y = -125 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7496 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*y**4 - 7*y**4 + 3*y**4 + (0 + 0 - 4)*(4*y**3 - 4*y**3 - y**4) - 2*y**4 + y**4 - y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -173 in 6, 1\/4, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 66.704 - 66.8. What is the second biggest value in -1, 2\/17, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*j = 44 - 2. Let s(x) be the second derivative of 0 + 0*x**3 + 5*x + 0*x**j + 8\/21*x**7 + 6\/5*x**5 + 6\/5*x**6 + 1\/3*x**4. Factor s(u).\nAnswer: 4*u**2*(u + 1)**2*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39151, 39180, 39223, 39286, 39375?\nAnswer: 39496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*x - 0*s - 4*s, 3*x + 4*s = 5. Let u = -10758\/13 + 828. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + n + 27409 = -148161, -5*n + 219450 = 5*o. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 12:16 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 993\/5 - 198. Let j = 44 + -41. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -156840961912.4 and 0.13.\nAnswer: -156840961912.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*d**2\/17 - 1996*d\/17 - 624 = 0 for d.\nAnswer: -884\/19, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1989 and 6406875?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 813194 and 7872.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(5\/4)\/t**13*(t**(-38)*t)\/(t\/(t\/t**9)) assuming t is positive.\nAnswer: t**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 2)*(-7*x + 5*x - 5*x + (-4*x - 3*x + 3*x)*(1 - 1 - 2)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + 36e?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 19*m. Let w(h) = 140384*h**2. Calculate k(w(y)).\nAnswer: 2667296*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - 1 + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 35745 by 5.\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 - 7*q + 7. Let b be (-2 - 128\/(-20)) + 3\/5. What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 242468986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w - 1. Let n be q(4). Let l(t) = -237*t + 8. Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 451467 + -451467. Factor 1\/6*o - 1\/6*o**3 + 0 + h*o**2.\nAnswer: -o*(o - 1)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, n: 1, m: 2, v: 1, r: 4}. Give prob of sequence nvmh.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*u - 479*u**2 - 7*u + 528*u**2 + 64*u**4 to the form n*u**3 + f + j*u + q*u**2 + v*u**4 and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q - 5. Let o be k(6). List the prime factors of (o\/1)\/((-2)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the second derivative of g**4\/6 + g**2\/2 - 24*g. Let f(o) = 2*o**2. Give h(f(q)).\nAnswer: 8*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 37010017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21 + 16. Which is the closest to -0.1? (a) 5\/7 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 - 8. Let s be ((-6)\/v)\/(0 + -1)*0. Suppose s = 4*o + u - 107, o - 2*u = -u + 28. Calculate the remainder when 52 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60)\/(1*(sqrt(9)\/sqrt(3) + sqrt(3)) - sqrt(3)) - (-2 + (sqrt(5) + -5*sqrt(10)\/sqrt(2) - sqrt(10)\/sqrt(8)))) + 0)**2.\nAnswer: 26*sqrt(5) + 861\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ozzjwzjjywyjjtj. Give prob of sequence tyo.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/((u*u**(-5))\/u)*u*u*u**(-1\/13)*u)\/((u*u**(2\/11))\/u**7)*(u\/u**(-1\/15)*u*u\/(u**3\/u))**40 assuming u is positive.\nAnswer: u**(24628\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 72979 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 14*p - 39. Let q(h) = 7*h - 19. Give -3*i(d) + 7*q(d).\nAnswer: 7*d - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2667*b - 4440*b + 101763 = 3115*b - 20437 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tleutyultetu. Give prob of sequence ttye.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*v + 8*v - 6*v)*(0*v - 4*v + 2*v)*(-4*v**2 + 4*v**2 + v**2) + (3*v + 1 - 1)*(3*v**3 - 26*v**2 + 26*v**2).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 52 - -5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186341186.\nAnswer: 2, 31, 3005503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, x: 1, i: 1, d: 1, j: 1, m: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 18580960 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 3 y when four letters picked without replacement from yyyytyjhj.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 825193448?\nAnswer: 2, 23, 194989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2*s - 2)*(2 + 0 - 4)*(-5857 + 8100 + 8628).\nAnswer: 43484*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6 + 3 + 12 + -3. Let l be x - -2*(-1 - 0). Calculate the greatest common factor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(2\/7)*(j*j**13)\/j)\/(j**(1\/26)\/(j*j*j**(-5)*j)) assuming j is positive.\nAnswer: j**(2047\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 2446 (base 8) to base 7.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -5*j - 53, -8 - 2 = 2*j. Let c be (-785)\/(-4) - ((-14)\/8 - -2). Calculate the greatest common factor of u and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -169\/99 - -20\/11. Let g(r) be the first derivative of 1\/12*r**4 + 0*r**2 + f*r**3 - 1 + 0*r. Find l such that g(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 3*b = -13, -b + 2 = 4*w + 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -145*y = -156*y + 22. Let u(o) = o**2 + 4. Let h(p) = -1. Let r(a) = 3*a**2 - a + 10. Let c(b) = 3*h(b) - r(b). What is y*c(s) + 7*u(s)?\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/(-10) + 1)*45\/2. Let f be (4\/96)\/(6\/a). Factor 1\/4*p**4 + 3\/2*p**2 + p + p**3 + f.\nAnswer: (p + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 8:31 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3352 is divided by 139.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 = 3*i - u - 9, 5*u = -4*i + 74 + 121 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k + 3*k - 2*k)*(4*k**3 + 0*k**3 + k**3 + (4*k - 3*k + k)*(0*k + 2*k**2 + 0*k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of m**4\/2 + m**3 - 2*m**2 - 4*m + 4. Let p be t(-4). Let z = -32 - p. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-472)\/(-32) - (-1)\/4. Suppose a = -75 - 36. Let m = a - -186. Calculate the highest common factor of n and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*g**3*l*v**3 + 39*g**3*v**2*x + 5*g**3*x + 2*g**2*v**3*x - 502*l*v**3 - 2*l*v**2*x - 2*l wrt v?\nAnswer: 12*g**3*l + 12*g**2*x - 3012*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4424 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1557, -2, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -36939*q + 886539. Give y(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17341 is divided by 481?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 2 = -5*c - 17, -c + 5 = 3*m. Let f(a) = -2*a**2 + 15 - m*a**2 - 15. Let k(p) = p. Give k(f(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*y**2 + 2*y**2 + 2*y**2)*(-4 - y**2 + 4 + (-4*y + 2*y + 4*y)*(4*y - y - 2*y) - 4*y**2 + y**2 - 2*y**2 + 4*y**2 - 6*y**2 + 4*y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 - 1651*h**2 + 398*h**2 - 741*h**2 to v*h**2 + q*h + s and give v.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(78) - sqrt(78)*-1)*-3)\/sqrt(6) + (sqrt(624)\/(sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12)))\/((sqrt(40)\/sqrt(250) - sqrt(4)) + sqrt(4)).\nAnswer: -13*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4, -4*o - w + 278 = -2*w. Let d be (2 + 48\/(-30))*o. What is the highest common factor of 308 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 5*o - 615 = 0, 5*o = -0*c - 2*c + 315. Let s = -26 + c. Let q = 72 - s. Which is bigger: q or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13449780 rounded to the nearest ten thousand?\nAnswer: -13450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (8\/(-68))\/(11\/132). Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 7 = -4*x, 5*x + 9 = 3*x - 3*z. Suppose 0 = -5*r - x*d - 24, 7 = -5*r + 4*d + 4. Is r smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 12 = -3*d. Suppose d*t = 94 - 30. Suppose m - 7 - t = 2*k, -2*m + 53 = 3*k. What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(143))\/(sqrt(1980)\/sqrt(5)) - (-2*(-1*(sqrt(832)*-2 + sqrt(832))**2 + sqrt(832)) + -5).\nAnswer: -1659 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-9) - 12495\/1323.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -200112000 (base 3) to base 16\nAnswer: -34bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 105877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/11)\/(1\/2*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-348)\/(-741) - (6 - ((-4)\/13 - (-3840)\/624))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 5, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 6 = -r - 3, -b - 4*r - 3 = 0. What is the units digit of 1 - b\/6*0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 26, -5, -120, -361, -770?\n\"Answer: -7*p**3 + 18*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y. Let a be m(1). Let q(l) be the first derivative of l**2\/2 + l + 5777. Let o(i) = 2*i + 2. What is a*o(x) - 3*q(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9997 + 16025. Suppose 2*n - s = 81745, -i - 14854 = -n - 3*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1458 - -1441 - ((-1 - -3) + 10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5718724769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the second derivative of 0*u**3 + 1\/24*u**4 + 2*u**2 + 0 + 5*u. Let w(o) be the first derivative of s(o). Let i(m) = 6*m. Give i(w(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -3 + sqrt(675)*3 + 4*(sqrt(972) - (sqrt(972)*-1 - sqrt(972))))**2.\nAnswer: -4176*sqrt(3) + 204427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -409*p*x**3 + 302049886*p*x**2 + 4822*x**3 wrt x.\nAnswer: -2454*p + 28932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4358668 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 10 = 2*n, 14*p - 4*n = 16*p + 20. Let q be p + 0 - 16\/6*-9. Calculate the highest common divisor of q and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 651034, 651038, 651044, 651052, 651062, 651074, 651088?\n\"Answer: f**2 + f + 651032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 20 = -22, -4*w = -4*m + 2036. What is m rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/20)\/((-5)\/25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -22*r**2 + 2136*r + 18245. What is k(105)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -170*c - 193*c + 2*c**2 + 357*c - 3*c**2. Let s(p) = -3*p**2 - 13*p. Suppose 3*j - f + 14 = f, -3*j - 12 = -3*f. Determine j*s(w) + 13*o(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*x - 47*x = 120. Is -1*(-7045)\/x*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 5*w + 2440. What is the hundreds digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/((h\/(h*h*h**(2\/9)))\/h)*h*h*h**2*h**(-6)\/h*h*h**(-1) assuming h is positive.\nAnswer: h**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 17739 by 17028.\nAnswer: 1971\/1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -221*h - 9. Let m be u(3). Let g be 16\/(-20) - -1 - m\/15. What is the highest common factor of 60 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -16*o**3 - 3523*o**2 - 663*o - 384. Determine p(-220).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36775 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 531, 542, 561, 588, 623, 666, 717?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -13*x**3 - 23*x**2 + 20*x + 41. Does 23 divide f(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 + 14*l**2 - 65*l + 808. Let q be c(13). What is the highest common factor of q and 4532?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*v - 17*v = 369 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 359.0408 decades in months?\nAnswer: 43084.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -4*q**2 + 381*q + 851. What is r(96)?\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1377.7 + -1378. Let l = 3 + 0. Which is the biggest value? (a) 0.033 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -6 + -7 - (-5 - (-1 + 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 13 - -89?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from acuxxcuuxajxxxq. Give prob of sequence xaq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum -90.6918999 and -7.57.\nAnswer: -98.2618999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -724, 2, -3 in descending order.\nAnswer: 2, -3, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1056 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -52397.95808 to the nearest 100.\nAnswer: -52400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 3\/835151005?\nAnswer: 3\/835151005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3524?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -43*s - 2. Let g(y) = 22*y + 1. Let c(q) = -11*g(q) - 6*p(q). Let h(a) = 180*a - 590*a + 409*a. Determine c(h(z)).\nAnswer: -16*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 5*f - 34 = 0, -4*c - f = -3*f + 46. What is the lowest common multiple of 2 and (-1)\/(-3*3\/c)*-7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.351202ug?\nAnswer: 0.000351202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + (sqrt(1620) - sqrt(1620)*1))**2*6 - (sqrt(1620) + 0 + -3 + sqrt(1620))**2*-6) + 5.\nAnswer: -1296*sqrt(5) + 38963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000017057752 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -59, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202788?\nAnswer: 2, 3, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12136 = 2*y - 5*m, 1038*y - 1042*y = 5*m - 24242. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (4 - 6) + 5 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 87 - 669029?\nAnswer: -668942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, i: 1, a: 1, u: 3, y: 5}. Give prob of sequence fu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -220520 - 6.204?\nAnswer: -220526.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -80*n**2 + 236*n - 4. Calculate u(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from ytdnnt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w**4 - w**4 + 2*w**4 + (-2*w**4 + w**4 - w**4)*(3 + 0 - 7) + w**4 + 4*w - 4*w - 148 + 148 + 3*w**4.\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -743*z**2 - 99*z - 1?\nAnswer: -1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -12 - -29810?\nAnswer: 29798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -4*c + 8*c. Find the second derivative of 10*k**2 + 6*k**2 + c*k + 2*k - 15*k**2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - l**2 + 38. Let g be d(0). Suppose b + 2 = -9. Let x = g + b. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -184*d**3 - d**2 + 6*d + 7. Calculate the remainder when b(-1) is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 12 = -3*q, -g = 3*q + q - 22. Suppose -2*o - 3 = 5. Let n be (2\/(-4))\/(o\/24). Solve n*p - g = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 5 + 1)*(-2*j - 1 + 1) + (-3 + 3 - 2*j)*(0 + 0 + 3) + 2*j + 0*j + j + 2*j - 6 + 6 to the form c + y*j and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -89690 - -29149278\/325. Find the common denominator of d and 56\/55.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 - 2*q**2 + 3*q - 2. Let t be v(1). Let o be (t\/(-6))\/((-3)\/(-101979)). Suppose 2*a + o = 11*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16970 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 30 and 974590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -2*r - 2, 7 = 5*r - 2*c - 7. Suppose -40 = -r*v - z, z = -4*v - 4*z + 92. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**3 - 6*h**2 + 5*h + 5. Let y be z(5). Let c = 148 - 148. Suppose -2*k - y*g + 57 = c, -k + 5*g = k - 27. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-31)*(-10)\/(190\/(-19))*1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**8)\/r**10)\/(r**(-4\/3)*r**(-5)*r))**(-4\/9) assuming r is positive.\nAnswer: r**(-52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 9*y - 2. Give s(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 1:50 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 14, 30, 56, 92, 138, 194, 260?\n\"Answer: 5*f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 2*c**2 + 4*c. Let i(j) = -j**2 - 4*j + 4. Let k be i(-4). Let b = k - 7. Let t be y(b). Is t less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28100 is divided by 1995?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 520 = 2*u, -23*u = -21*u + 16. Calculate the greatest common factor of 2632 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*s**2 - s**3 + 10*s**2 + 372166*s**4 - 372131*s**4 - 1 to t*s**4 + w + q*s**3 + g*s**2 + z*s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 l when four letters picked without replacement from ewelettweyleylttwt?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -34*l**3 + 2*l**2 + 5*l - 6. Let d be y(1). Let h = 129 + d. What is the remainder when h is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5)\/(-4*1 + (-1020)\/(-272)). Solve 3*m + u = 5*b, -2*b = 4*m - 2 + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fourty-five quarters of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.16? (a) 2\/9 (b) -56 (c) 5 (d) -5 (e) -3\/7 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 12) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8925312 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*v**2 + 48*v - 48*v - 33*v**2.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.741378 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5*(14\/5 - 3). Let y be (-6)\/(-15) - (-34)\/(-10). Put q, 4, y in decreasing order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = 4*z + s, 4*z = -s + 9. Calculate the common denominator of (-22)\/(-143)*32\/(-3 - -1) and -3 + z\/(-24)*142.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 19*y**2 + 11. Let g(t) = 76*t**2 + 43. Let u(v) = 2*g(v) - 9*k(v). Differentiate u(n) with respect to n.\nAnswer: -38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (38\/18 + -2)*1\/(-1). Let g = 6 + -4. Suppose g*r = 7*r - 5. Is m greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 3817*b**3 + 19*b**2 - 66*b. Let k(z) = -424*z**3 - 2*z**2 + 7*z. Determine 19*k(v) + 2*y(v).\nAnswer: -422*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1903*m + 4 + 1899*m - 3789*m - 4.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2379.70514 rounded to one dp?\nAnswer: 2379.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dkkdzzzdzzzzkdkzk. What is prob of sequence ddz?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*q + 20 - 34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*d - 3*d - 879 = 169*d - 5119 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 562107 (b) -1\/20 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -183b42 (base 15) to base 10\nAnswer: -1177037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (132\/36 + -6)*(-7)\/(-147)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 5 = -13. Let z = -353 + 349. What is the closest to -2 in -0.4, z, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/1248 - 503\/151008. Calculate the common denominator of 119\/220 and t.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 4*v**2 + 25*v + 19. Let j be o(-5). Calculate the lowest common multiple of 662 - (4 - (-2 - j)) and 2.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -191\/113568 and -133\/528.\nAnswer: 1249248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 840 = -20*t - t. Let v(b) = b**3 - b**2 + b. Let y(o) = -32*o**3 + 40*o**2 - 40*o. What is t*v(n) - y(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in 1\/4, 15, 0, -18, -15\/4, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**1\/r)\/r)**(-12))**1 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 27 - 7. Suppose 2*y + 3*w - 33 = 0, 0 = -4*w - 0*w - d. Solve 5*t = 4 - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 431803 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*w + n, n = -0*w - w - 1. Let p = w + 28. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 + 5 = 4*n - 2*c, -5*n + 12 = -3*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:28 AM and 4:41 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 9, -552, -11, 28, 3, -1 in decreasing order.\nAnswer: 28, 9, 3, -1, -4, -11, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -3*s**4\/7 - 57*s**3\/7 - 276*s**2\/7 - 240*s\/7 + 576\/7 = 0.\nAnswer: -12, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 667375562?\nAnswer: 2, 7, 17, 281, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*s - 229733 - 466597. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17273677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-4)\/i)\/i**(-1\/3))**(-2) assuming i is positive.\nAnswer: i**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -14631971 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17 + 18. Let x = -1384\/11 + 126. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -169 (base 13) to base 16.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 4*v - 1. Let h be y(1). Suppose 0*o = 4*o + m - 4, 3*o = 2*m + 14. Let c = o + h. Solve 0 = x - 5*t - 24, -x - 2*x - 8 = c*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27607000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6981712 is divided by 117.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 240 and 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -779282 minus 774.087?\nAnswer: -780056.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1350664 + 2?\nAnswer: -1350662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43678305 is divided by 14559423.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 23*g**2 - 55*g - 442. Let f be d(-7). What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 10383679 to the power of 1\/2, to the nearest integer?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2.0605 * 0.083\nAnswer: -0.1710215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -98*x = 7*x - 1575 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, j: 1, w: 3, i: 1, g: 2, h: 2}. Give prob of sequence ggj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*o + 1537 + 4877. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -473 + 527. Find the first derivative of 69 - m*f**3 + 142 + 3 wrt f.\nAnswer: -162*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/6)\/(2\/(-6)*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/18 and 115\/1254.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: ((-120)\/(-16))\/15*-12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (17428*i - 17430*i - 190 + 65)*((4 - 5 - 1)*(-i + 4*i - i) + 3*i + 2*i - 3*i).\nAnswer: 4*i**2 + 250*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49 - (-35 + (-75 - -55)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5581 is divided by 265.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 3*v = 13 + 3, -2*v = 4*j + 6. Suppose 71*u + 36 = 77*u. Let p be (-60)\/(-396) + (-2)\/u. Is p greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -3\/11, 2, 2\/3, -5\/2, 14?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.0508 and 715351571914?\nAnswer: 715351571914.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1020, 12, 0, 5, 49 in decreasing order.\nAnswer: 49, 12, 5, 0, -1020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 419985 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5209326077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/41 in -15811, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (((-12)\/9)\/(-4))\/((-126)\/189)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 0. Suppose 3*g - 13 + 4 = c. Let j be (-22506)\/(-1*g) - 2. Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of m**8\/112 - m**5\/60 + m**2 - 2*m. Let a(w) be the first derivative of b(w). What is the third derivative of a(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 24.67165 millilitres?\nAnswer: 0.02467165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/(-15))\/((-328)\/(-110) - 3). Suppose o + 3 = 2*j, -h*o = -23*o - 4*j + 15. Find p such that p + 1\/4*p**4 - p**o + 1\/2*p**2 - 3\/4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = p - 0*p + 30, 0 = 3*i - p + 70. Let y = -36 - i. Which is bigger: y or -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 33*y**2 - 2*y - 2. Suppose -12*p + 9*p - 6 = 0. Let h be s(p). Is h + -3 + 0\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -349060.7779 - -349141.77789444. Let u = -81 + m. What is u rounded to 7 decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of -a**6\/40 - a**5\/15 - a**4\/8 - a**3\/6 - 2*a**2. What is the tens digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 12:18 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*sqrt(192) + -4)**2.\nAnswer: -624 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 915424 is divided by 148?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mzzeehnxmhhm. What is prob of picking 1 h and 2 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/h**(-7\/6)*h\/(h*h*h\/((h\/h**(1\/34))\/h))*h)**(-35) assuming h is positive.\nAnswer: h**(-3815\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w**2\/3 - 5996*w\/3 + 1192448 = 0 for w.\nAnswer: 822, 2176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -62 = -6*q - 5*r, 4*q - 58 = 636*r + 623*r - 1254*r for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**3 + 6*j**2 + 8*j - 4. Let o be w(7). Suppose -4*z - 3*y = -o, 5*z + 8*y = 3*y + 5. Solve z = -k - 1 - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -233368486 and 0.5.\nAnswer: -233368485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*z + 196 - 286 = 678 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 4 - 6)*(-672*x + 5723*x + 2738*x) to i + p*x and give p.\nAnswer: 7789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**0)**(1\/19)*u**(-2\/7)*u*((u\/(u\/(u\/(u**(3\/10)*u))))\/u)\/u*u assuming u is positive.\nAnswer: u**(-709\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**2 + 21*b - 50. Let f be r(19). Let u = 39 + f. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {f: 1, d: 1, n: 2, x: 5, b: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2449757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from emsxmsxxsrue.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 3, c: 1, j: 2, d: 2, z: 1, g: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 25 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**2 - 3440*y + 31284.\nAnswer: -4*(y - 9)*(y + 869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4185 and 3141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 2063 = -r, -3*r + 49 = b - 354. Calculate the greatest common divisor of b and 1133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-6) + (4854820\/(-660))\/67. Is -109 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - 12*r**2 - 11*r - 18. Let b be l(13). What is the second derivative of -28*i**5 - 2*i - b*i - 14*i wrt i?\nAnswer: -560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000085633 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 10*j - 77. Let n be l(8). Solve a + n*x - 10 = -2*x, 0 = -5*a + x + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 34.9 (b) -25 (c) -10818\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 3:22 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (1035\/184)\/(110\/352)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of 0 + 4\/9*y**3 + 2\/3*y**2 + 1\/9*y**4 - 2*y. Suppose a(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30803.\nAnswer: 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**2 + 4*o - 5. Let s be w(-5). Let n(f) = f - 35. Let a(y) = y + 1. Let m(p) = 2*a(p) - n(p). Is m(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 + (-74115)\/976 + ((-907)\/(-80))\/1?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 2)*(3 + 1 - 2)*(-4*g**3 + 9*g**3 + 3*g**3) + (2*g + 0*g - 4*g)*(-1 + 2*g**2 + 1).\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of -21*f**4\/4 + 6*f. Let m(x) be the first derivative of x**2 - 117. What is g(m(q))?\nAnswer: -252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74, 61, 62, 83, 130, 209, 326?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4328 + 3364?\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56279749 is divided by 8039962?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 20 = a + 2*d, 12 = 1361*d - 1356*d + 37 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1481934 by 6.\nAnswer: -246989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 109*x**2 - x - 25. Let n be t(-3). What are the prime factors of n\/411*(1 - (-289 + -1))?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -613*d - 12313 = -620*d. Let h = d + -680. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((16 - 20) + 74 - 28) + (0 - 10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 0*j = -2*j - 58, -5*n - 3*j = 71 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-53*26660\/49290)\/(4\/(-6))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/4 + (-15)\/(-6). Let p(a) = a**2 - 9 - 2 + 13 - q*a - 5. Let u = -258 + 264. Give p(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*g + 18*g + 17*g + 3078*g**2 - 71*g - g**3 + 21*g.\nAnswer: -g**3 + 3078*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 10591987 a multiple of 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b + b - 2*b)*(4 - 3 - 3) - 3*b + 3*b + b - 11*b + 1434 - 4*b - 1427 in the form s*b + u and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f**3 + 22232*f**2 + 3002772*f + 8808120 = 0. Calculate f.\nAnswer: -129, -3, 5690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -3*w + 2. Let c be t(2). Let r be (-246)\/40 - -2 - (-15)\/20. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 38*h. Let l(u) = 7*u**2. Let j(o) = 3*o**2. Let v be (1 + -3)*(-4)\/8*-4. Let f(x) = v*l(x) + 9*j(x). Calculate f(p(y)).\nAnswer: -1444*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -7 + 9*c**2 + 26*c + 18*c + 22 - 57*c. List the prime factors of h(6).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1918746442 to 5 decimal places.\nAnswer: -0.19187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 10a35aa (base 11) to base 3\nAnswer: 10121200102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -4*n + 9. Calculate the smallest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -3*w. Let p(g) = -2*g**2 - 4407*g - 363. What is a(p(l))?\nAnswer: 6*l**2 + 13221*l + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 20 + -5. Suppose 4*i = i + c. What is the least common multiple of 2 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(((sqrt(11) + 4)*-4 - (2 + sqrt(11))*6) + 1 + -3*(2 + sqrt(176))))**2.\nAnswer: 36300*sqrt(11) + 160325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 37 in -20, -0.194, -14?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q = 4*x - 18, -2*x + 2*q - 11 + 21 = 0. Solve -3*g - 16 = -w, 0 = -3*w - 2*g - 12 - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 814\/(-2210) + 122\/(-45628)*-132\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -88115516 by -44057758.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4)\/(2 + 0))\/2. Let y = -1 - n. Let c = 12 - y. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 23 (b) -4\/69 (c) 212 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**1)**27)**(-4) assuming y is positive.\nAnswer: y**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 + -10022202?\nAnswer: -10022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add -5 and -3276123.\nAnswer: -3276128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.0186402 times -1\nAnswer: 0.0186402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3714\/4655 - -2\/931. Let t = 3.9 + -4. Let a = 0.03 - 0.13. What is the nearest to a in -4, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 + (53\/(-10))\/((-46)\/(-115)))*(-3 - -5)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 - 25*q**2 + 27*q - 42. What is y(24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(5\/(-3)))\/(906\/(-2567))*2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.04 (b) -7\/121 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d**2 - 16*d. Let i be f(-6). Let j(h) = -h**3 - h**2 + h - 3. Let t be j(3). What is the tens digit of ((-60)\/2)\/(t\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 158 = -4*u, -2*v + 201 + 104 = -3*u. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 3, b: 2, d: 3, w: 5, x: 7}. What is prob of picking 1 v, 1 w, 1 b, and 1 d?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(128))**2*2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of -z**5\/20 - 7*z**4\/12 + z**3\/2 + 8*z**2 - 10*z. Let h be k(-7). Let s(t) = 4*t + 1. Calculate s(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (40\/(-120))\/((-306)\/53244)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of 0*b**3 + 2*b + 0*b**2 + 0 + 1\/4*b**4 + 1\/20*b**5. Find the third derivative of s(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -25*k**3 - 10*k**2 + 5*k - 1. Let m(n) = -24*n**3 - 8*n**2 + 4*n - 1. What is 5*m(x) - 4*y(x)?\nAnswer: -20*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6761, -6649, -6539, -6431, -6325, -6221?\nAnswer: -6119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/16362 and -97\/4522.\nAnswer: 36994482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(5*5*sqrt(162)*-5*1)**2.\nAnswer: 2531250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*s + 5*j = 27*s + 1197951, 7*j = -2*s + 1197961. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 1\/219 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.042422258 and -4135.\nAnswer: -4134.957577742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -217095*f**6 + f**4 + f**2 - 147679*f wrt f?\nAnswer: -26051400*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -26647 + 26653. Let n(x) = 4*x**2 - 2*x + 13. Let t(w) = 5*w**2 - 2*w + 13. What is l*n(h) - 5*t(h)?\nAnswer: -h**2 - 2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:40 PM and 10:56 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of -j**4\/12 - j**2\/2 - 4*j. Let r = 4 + -3. Let s = r + -1. Determine o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.411 - -0.692. Let q = k - -0.69. Let b = 0.103 + q. What is b rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75 divided by -6?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -2*n. Suppose 4*b + 2*p + 5 = 21, -2*p = -5*b + 11. Let k(u) = -10*u**2 - 4*u**2 + b*u**2. What is q(k(h))?\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) 0.2 (d) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of n**4\/10 - n**2\/5 - 15. Factor c(b).\nAnswer: 2*b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(13) - 1*sqrt(52))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 113 divided by -417\nAnswer: -113\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -30423509 or -30423499?\nAnswer: -30423509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -241?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 24 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -2*z**2 + 12*z - 10. Let l be w(-11). Find the common denominator of ((-16)\/l)\/((-2)\/388) and -91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -11051, -22067, -33051, -44003?\n\"Answer: 16*r**2 - 11064*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 5*x - 45*x - 9*x + 5*x. Let n be p(-1). List the prime factors of (5\/10)\/(2\/n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*f = 30 + 30. Let a(m) = 4*m**2 + 5*m + 4. Let w be a(-3). Let x = 49 - w. Solve -x = f*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r + r - 6*r)*(7 + 7 - 3)*(14 - 6*r - 14).\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*x + 5*t + 17 = 8*x, x + 10 = 3*t + 31 - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is i in 2*i**2 + 1288632*i + 207571553928 = 0?\nAnswer: -322158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 39 = -8. Let a = 51 - c. Suppose 4*f + 2*h = 54, 0*f + 2*h + 74 = a*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13826 - 9605. Is 67 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16634609867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + 0)*-4 + -3.\nAnswer: -20*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12)\/(20\/(25\/(-5))). Let k = 95 - 40. Suppose 2*o + p - k = 0, 94 = 4*o - 5*p - 9. What is the greatest common factor of j and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g**3 + 34*g**2 + 10*g + 2. Let l be h(-11). Let j(u) be the first derivative of u**4\/2 - 17*u**3\/3 + u**2 + 6*u - 4. Is j(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooyc when four letters picked without replacement from {y: 1, c: 1, i: 1, o: 2, b: 1, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 5*x**2 - 5*x - 13. Suppose 11*b = 9*b + 12. Calculate p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*r**3 - 215*r**2 - 755*r + 975 = 0. What is r?\nAnswer: -39, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -56439 at least -56440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lwwwwlel. What is prob of picking 1 e and 3 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-36)\/27 - 5\/30*-7898?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21 + -13. Suppose -2*p + 12 = 4*z - n, -2*p - 4 = -4*z. Suppose 2*f + 2*y + 2*y + p = 0, 49 = 3*f - 5*y. What is the highest common factor of f and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528574727 to the power of 1\/2, to the nearest integer?\nAnswer: 22991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 5*n + 5*i - 32, 4*n = -i + 20. Let u be (n\/10)\/(18\/45). Solve 2*z + 3*x + 0 = u, -3*x = -z + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -3*u**3 + 5*u**2 - u - 6. Let v(q) = 2*q**3 - 3*q**2 + q + 3. What is -3*b(i) - 5*v(i)?\nAnswer: -i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.6 - 1.4. Let a be (-4)\/(2 - -2) + -2. What is the smallest value in 0.5, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -25158 or -25217?\nAnswer: -25158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.138 and -450.2312.\nAnswer: -450.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:19 PM and 6:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-40)\/((-45)\/10 + 4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-2 + sqrt(2) + -1).\nAnswer: -15 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.03*-53\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nrivlrlulnirrl. What is prob of picking 1 i, 1 r, 1 l, and 1 v?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 735871 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -163 + 271. Let a = i - 102. Suppose 0 = 5*t - a*t. Solve 5*s + 0*s = t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8 + (10384\/152)\/11. Is -3 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 157059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/8)\/(25\/2020). Let i = -91 - s. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-11)\/(-3) + 16\/(-24). Suppose -9 = -x*h, 0 = -c + h - 3*h + 112. Suppose 5*u + 2 = y, -5*y = -2*y + 5*u - c. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-158773 + 158779 + 2*k**2 + 2*k**2)*(2 - 2 + 3)*(-7*k**2 + 4*k**2 + 2*k**2).\nAnswer: -12*k**4 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n + 11. Let o be v(-8). Suppose -7 = o*d - 133. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2703003 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -238, -240, -242?\n\"Answer: -2*w - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -206714*a**5 + 110797*a**2 wrt a?\nAnswer: -12402840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 1136042.577 to the nearest one hundred.\nAnswer: 1136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6 - 2)*(-4)\/(-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -4\/7, -1, 12.9, 2, 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is s in 20*s**4 + 352*s**3 + 976*s**2 - 448*s = 0?\nAnswer: -14, -4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 5*p - p - 41, 0 = 2*p - 3*o - 3. Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -21.15, 1?\nAnswer: -21.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -12 + 6 - (0 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 94 times 18?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.8198659 to 3 dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -22000 - 478. Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 3*m - 5. Let a = m + -9. Calculate the remainder when 16\/(-24) + (-23)\/(-3) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*t**2 + 41*t**2 - 25*t**2)*(0*t - 2*t - 7*t)*(t + 0*t - 2*t) + 2*t**4 + t**4 - t**4.\nAnswer: -61*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1454 - -1450. Sort r, 1, 52, 0.6 in increasing order.\nAnswer: r, 0.6, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - 3. Is 22 a factor of -1*q\/((-28)\/(-104))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m - 26. Let p = -181 + 151. Let u be y(p). Solve 0 = u*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -8*a - 15. Let d be s(-2). Let p(g) = 6*g**2 - 4*g + 3. Let u be p(d). Sort 3, u, -5, -2.\nAnswer: -5, -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lull.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + -19. Find the second derivative of 2*n**4 + n**4 - 3*n - v*n - 5*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w**3 + 46*w**2 + 532*w + 128. Calculate b(-8).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 3*d - 2. Let p be c(2). Suppose s = -p*o - 13, 4*o + 31 = 4*s + s. Determine u, given that -u**2 - 9*u**3 + 2*u**2 + 5*u**2 + s*u**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01699 + 150?\nAnswer: 149.98301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 448261, 448264, 448269, 448276, 448285, 448296, 448309?\n\"Answer: l**2 + 448260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2718 - 2714. What is the greatest common factor of n and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*z + 3*z = -41*z + 7371. Calculate the remainder when z is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44, 253, 600, 1085, 1708, 2469, 3368?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-6\/13))**3*(i*i*i*i**22\/i*i)**(-6) assuming i is positive.\nAnswer: i**(-1968\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2484396 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/11)\/w*w**(4\/7)*(w\/((w\/(w\/w**(1\/2)))\/w))**(-1\/8))\/(w**(-2\/19)*(w*w\/(w\/w**(2\/7))*w)\/w)**(-1\/10) assuming w is positive.\nAnswer: w**(-11367\/16720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -597 by 1390.\nAnswer: -597\/1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of w**3\/3 - 17*w**2\/2 + 48*w + 264. Let o be j(4). Which is the closest to 1\/2? (a) -0.4 (b) o (c) 2\/15 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 100102211 (base 3) to base 14\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 38 - (11 + -13 - -2 - -16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 + 10*v + 4. Let f be q(-9). Sort -3, f, -4 in ascending order.\nAnswer: f, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of i**4\/6 + 10*i**3\/3 - 15*i**2\/2 + 5*i. Let v be q(-11). Let o(p) = -p**2 + 6*p + 6. What is o(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**3 + w - w)*(-24*w - 2*w - 2*w)*(621*w + 5 - 690*w - 5).\nAnswer: 3864*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 2*q + 5 = -3*b, -4*b = -5*q + 5. Let c(i) = -4 + 14 - 4 - i. Determine c(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*d + 609 - 303 - 306.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-42)\/(-112))\/((-55)\/44)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 + 2*n - 10. Suppose 44 = -5*p + 4*f, 0 = -8*p + 6*p - 4*f + 16. What is i(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from yfyfffyfff?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -160*n**3 - 153*n**3 - 78*n**3 - 98*n**3 - 140*n**3.\nAnswer: -629*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-66))\/(15\/60) - 3197\/2277\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 13*y - 29. Give t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.9 + -3. Let g = -0.3 - o. Let n = 2 + -2.1. What is the third smallest value in g, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -195516240*l**6 + l**2 + 543*l - 12961 wrt l?\nAnswer: -23461948800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2260387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/8 and -167\/50358?\nAnswer: 201432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2*9*-1)\/(-1). Suppose 3*x = -2*b + l, 3*b - 23 + 2 = -3*x. Suppose -p = -b*p. Solve p = r + 4*t + 13, -t - 7 = -3*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 21, 66, 193, 444, 861?\n\"Answer: 7*s**3 - s**2 - s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*r + 29519 = 9239. What is the highest common divisor of r and 3510?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11 and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -43*f + 194. Let h be (1 - (-224)\/(-21))*(0 - -3). List the prime factors of j(h).\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 5 = -4*j, -2 = 5*j - 2*a + 6*a. Suppose -2*i - 10 = 0, 4*l + 2*i = -j*i + 124. Let p = l + -20. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 0, 416, -0.109 in ascending order.\nAnswer: -5, -0.109, 0, 2, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r - 3*h - 90, -5*r - 4*h + 4 = -51. Suppose -3*y + r = 6. Suppose q - 2*q = -y. Solve -14 = 4*c - 2*z, 4*z - 25 + 7 = q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32288 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0036377523773 to seven decimal places.\nAnswer: -0.0036378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 49, 51, 53, 55?\n\"Answer: 2*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 14632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2101740?\nAnswer: 2, 3, 5, 23, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be 51\/68*8\/33. Let l = 63 - 62.8. What is the second biggest value in -3, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t + 1. Suppose 5*k = -3*a + 4*a + 11, -3*k = -3*a + 3. Let u be 28\/35 + a\/20. Determine y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -66 - (275 + -151 - 72)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 225 + -190. What is the first derivative of 8 - 177*c**2 + 15 - a wrt c?\nAnswer: -354*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gdg when three letters picked without replacement from {y: 2, d: 4, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30272\/2064*(-12)\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84377677.\nAnswer: 84377677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11011210 + 21?\nAnswer: 11012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/32931 or -0.68?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-4)\/8 + (-2066)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 - 21*p - 11. Let z be f(-7). Let y = 141 + z. Let i be y\/55*(-10)\/18. What is the biggest value in 0.07, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*c + 0*c - 2*c + (1 + 1 - 1)*(2*c - c + 0*c) + (0 + 0 - 1)*(703*c + 1164*c + 426*c) to o + q*c and give q.\nAnswer: -2294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*d - 349*b - 257 = -344*b, 0 = 2*d - 2*b - 38 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of -n**3\/3 + 3*n**2 + 3*n - 1. Let g be c(5). Let l(u) = u**3 + 6*u**2 + 5*u + 7. Let i be l(-5). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in 5, 2\/2841817, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5533 is divided by 1802?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cvvljj. Give prob of sequence clv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 + -1)*(-4)\/(-8). Let b be w\/(15\/252)*-1. Let l = 12 + b. Find the common denominator of l and -101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 14*f - 92. Let l be m(8). Which is smaller: 18 or l?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23 + -38 + (4 - 2 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/4*1676\/6. Suppose -825 = -4*n + u. What are the prime factors of n?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*l + 124 = 37*l - 64 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 8:54 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -658387 divided by -71\nAnswer: 658387\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k - 4*u - 16, 5*u + 1064 = -4*k + 1044 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 44*t - 987 = 0. Suppose -3 = -0*i - 3*i. Let q be 0 - (-2 - -1)*i. Solve 4*j - t = -3*y, 4 = 2*y - j + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 616 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -0*z - 170. Suppose z - 97 = 3*x. Let f(b) = b**3 + 5*b**2 + 3*b - 5. What is f(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 17, -456\/311.\nAnswer: -456\/311, -0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 130563557 and 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s - s - s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1935456255 to the nearest integer?\nAnswer: 43994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**3 + m**2 - 1. Let v(b) = 6*b**3 + 4*b**2 + b - 2. Suppose -5*c + 17 = -4*y, 0 = -3*c - 2*y - 5 - 20. What is c*v(g) + 8*r(g)?\nAnswer: -2*g**3 - 4*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of -7*h - 1\/6*h**3 + 0*h**2 - 1\/4*h**4 + 0. Find the second derivative of s(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*p + 56*p = 2400. Sort -4, p, 4 in ascending order.\nAnswer: p, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1793158630 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25456 + -25307. Solve 61 + j = -42*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/36)\/(3\/((-162)\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*o**2 + 26286995*o + 78860940.\nAnswer: 5*(o + 3)*(o + 5257396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/4))**(-17\/2)*(b*b*b**(2\/7)*b)**(-3\/2) assuming b is positive.\nAnswer: b**(-395\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the second derivative of -86*z**5 - z**4\/2 - 33*z**2\/2 - 1165*z. Find the third derivative of r(s) wrt s.\nAnswer: -10320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of m**4\/12 + 5*m**3\/9 + m**2\/2 - 3*m + 2985. Find w, given that d(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -100, -370, -4, -2 in increasing order.\nAnswer: -370, -100, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*f + 5*v + 44, -18 = -f + 5*v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 159677233629 and 0.008.\nAnswer: 159677233629.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 + 13*q**2 - 41*q - 1. Let x be c(7). Let r = -15 + 15.3. Put 1, -2\/7, x, r in decreasing order.\nAnswer: x, 1, r, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24802912465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z - 3. Let l be c(2). Let h be 26\/(-10) + 1 + (1 - l). Factor -2\/5 + h*f**2 - 2\/5*f**3 + 2\/5*f.\nAnswer: -2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4312189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 618 - 617.677. What is m rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1886, 1863, 1824, 1769, 1698, 1611, 1508?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 3\/2 (c) -2 (d) -1\/6 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/(-39)*(-832)\/128. Solve -3*w = -k, 4*w + 10 = 8*w + r*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 12*y - 4. Let o(u) = 49*u - 17. Calculate 26*i(k) - 6*o(k).\nAnswer: 18*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103*l**3 - 18222*l**2 + 18222*l**2.\nAnswer: -103*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/5 - 2*y + 12\/5.\nAnswer: -2*(y - 1)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -h*q*y**2 + 219*h*y**2 + 2*h + q*y**2 + 3773*q*y + q - 9*y**2 - 2 wrt q?\nAnswer: -h*y**2 + y**2 + 3773*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5735*w + 10169*w - 13158*w + 730*w + 11833*w)*(3 - 3 + w).\nAnswer: 15309*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13829827?\nAnswer: 11, 983, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 85.7393 - 317.6725. Let n = q + 232. What is n rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 2*n**5\/3 - 140*n**4\/3 - 590*n**3\/3 - 160*n**2\/3 + 296*n = 0.\nAnswer: -3, -2, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 339200 is divided by 30834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -50, -300, -972, -2276, -4422, -7620, -12080?\n\"Answer: -35*n**3 - n**2 - 2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 4*x + 1 = -17, 2*h - 2*x + 2 = 0. Suppose 3*s - 8 = -4*u, 4 = -3*s + 2*s + h*u. Solve s = j - 5*b - 13, 4*j + 3*b = 2*b - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m**3 + 51*m**2 + 59*m + 814. Determine q(-25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 119006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v = -6*v + 4. Let g = v - -8. Let o be 15 + 1 + 1 + -1. Solve 4*c = -5*y + o, -15 = -5*y - g*c - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 3*c**2 + 8*c - 11. Let n(l) = -2*l**2 - 4*l + 6. Let q(h) = 3*a(h) + 5*n(h). Let r be 57\/21 - (195\/(-21) + 9). Determine q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -17884*r + 1. Let m(o) = o**2. Calculate m(d(z)).\nAnswer: 319837456*z**2 - 35768*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-10)*((c**(-31)\/c)\/c)\/c)**(-2\/77))**(9\/4))**(-30) assuming c is positive.\nAnswer: c**(-540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + x - 2*q - 14 = 0, -5*x - 2*q + 13 = 0. Calculate the common denominator of 145\/18 and (158*x\/6)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*a + 104 = -4*b, 1541*a - 1542*a + 9 = -4*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 67740845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 38159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 35*i - 1 - 11*i - 152*i + 0 in the form x + y*i and give y.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*g**2 - 2 - 32420*g + 32420*g.\nAnswer: -22*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-13548)\/(-316120)*(-1)\/6\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 2*w**3\/3 + 3136*w**2\/3 + 6254*w + 9372 = 0. What is w?\nAnswer: -1562, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -306 + 322. Solve 9*j = j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {x: 1, a: 5, d: 1, j: 12}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -894475755 divided by -178895151\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15720\/33 - (-270)\/165.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18988621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 115399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/20)\/((-56)\/20).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 5*f - 160, 19 + 16 = s - 4*f. Calculate the remainder when 154 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of f**6\/360 - f**5\/160 - f**4\/96 - f**3\/2 + 3*f**2. Let k(r) be the first derivative of a(r). Determine c so that k(c) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2216 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-4)\/r**(-8))\/((r**(-1\/4)\/r)\/r)**(-17) assuming r is positive.\nAnswer: r**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3.1 in -4, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 28529\nAnswer: 3\/28529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*3*sqrt(91)*2)\/(sqrt(84)\/(2*sqrt(12)) - sqrt(847)*1).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 22232020220 (base 4) to base 11\nAnswer: 164a557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 39 and 6\/(-15) + 4\/(-100)*-35?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 8 = -4*m. Suppose 88 = 17*n - 15*n. Suppose -4*w + n = y - 6*y, -m*w - y = -36. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 21*o + 163608 = 0. Let r = o - 6697. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 0*h - 3 = 0. Let f(d) be the second derivative of d - 3\/4*d**4 + 1\/2*d**2 + 1\/6*d**3 + 0. Calculate f(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, g: 1, s: 2, f: 2, e: 1}. What is prob of sequence se?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4188305 divided by -4188305\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 + 2*c. What is the remainder when 239 is divided by q(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 - 10*n**2 - 18*n - 38. Determine s(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12577120 + 12575614.5523. Let l = p - -1505. Let h = -0.45 - l. What is h rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70) - (-3*sqrt(70) - sqrt(70))*2)\/sqrt(10).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-9\/7)\/g**6)**(-1) assuming g is positive.\nAnswer: g**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22 + 24 + 104988*g**3 - 77 + 31.\nAnswer: 104988*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 - 23*j - 28. Let s be c(-22). Let q(o) = -3*o - 3. Let z be q(-2). Is (-140)\/s - z\/9 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 4)*(-2*u**3 + u**3 + 2*u**3) - 394*u**3 + 142*u**3 - 715*u**3.\nAnswer: -966*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {e: 1, j: 1, y: 4, h: 9}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1885356 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 62 + -51 + (12341016\/(-1) - -5). What is n rounded to the nearest 100000?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6042 less than -15553.534261?\nAnswer: -21595.534261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 4*h + 15, m - 2*h - 5 = -3*h. Let q = 45 + -12. Suppose x - 2*x = -g + 9, q = -4*x + 3*g. Sort 0, m, x in descending order.\nAnswer: m, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**2 + 13*w - 15. Is 20 a factor of c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130*f - 608*f + 126*f + 245*f + 143*f + 2.\nAnswer: 36*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 44\/((-4)\/(-4)) + -2. Suppose -2*z + 11 = -1. Calculate the highest common factor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 4*z + 3 = 0, 11 = -2*k + z. Let v = -3 - k. Suppose 3*n - 60 = -3*j, -2*n + 5*j + 28 = n. What is the highest common divisor of v and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of -94 + 90*p**2 - 65*p**3 + 25\/2*p**4 + 20*p. Suppose q(w) = 0. What is w?\nAnswer: -1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/23228520 and -211\/6090.\nAnswer: 673627080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15223880, 15223892, 15223902, 15223910?\nAnswer: 15223916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-58)\/((-2958)\/51))\/((-1 - 1)*(-8)\/(-160)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are 2717 and 18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*l = 1324 + 2036. Suppose -8*g + l = 6*g. Solve -4*j + 19 = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1 + (4*(sqrt(128) + sqrt(128) + 2*sqrt(128) + -1 + sqrt(128)) - 4*-3*sqrt(128)*-3)))**2*4.\nAnswer: 46080*sqrt(2) + 1180548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 25 = -8*u. Let k(h) = -h**3 - 5*h**2 - 3*h + 1. Give k(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - (3 + -1))\/(46 - 39).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2385531 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16683901.\nAnswer: 13, 23, 55799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {n: 4, w: 1, u: 2, h: 2, y: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*z + 2*t - 6*t + 48 = 0, 0 = -z - t + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1955.3 + 42302502.3\nAnswer: 42304457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 1112212202 (base 3) to base 12.\nAnswer: 15802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, a: 2, t: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**5 + 5*f**4 - 20*f**3 - 20*f**2.\nAnswer: 5*f**2*(f - 2)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the first derivative of -n**3\/3 - n**2\/2 - n - 3831. Let p be 5\/10*(-8)\/4. Let g(o) = -o**3 + 3*o**2 + 7*o + 3. Determine p*g(j) - 3*s(j).\nAnswer: j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 3*d - 4, 3*d - 8*d = v + 10. Suppose -5*x - 3*f + 28 = -32, -5*x + f = -80. Solve x = -0*j - v*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of -g**4\/6 - 574*g. Let i(u) = 369*u**2. Determine m(i(t)).\nAnswer: -272322*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 - 11*f**2 + 5*f - 15. Let t be i(11). Let l be (6\/8 - (-10)\/t)*17. What is the highest common factor of 51 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(-1) + 0 + 6. Suppose 16 - 6*x**2 + x**3 + 2*x**l - 16 = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2308941919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -792*c**3 - c**2 + 3*c + 5. What are the prime factors of v(-1)?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 39 - 5. Let h(t) = 2*t**3 - 5*t**2 + 12*t - 3. Let b(n) = n**3 - 3*n**2 + 6*n - 2. Let z(d) = v*b(d) - 6*h(d). Is z(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 860623797.\nAnswer: 3, 11, 26079509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 1487299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/21 or 7833?\nAnswer: 7833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 23322102 (base 4) to base 16.\nAnswer: be92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1105 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2\/5 - 23714*k + 830088\/5.\nAnswer: -2*(k - 7)*(k + 59292)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 23 + 6 = 3*m, -19 = -4*l + m. Suppose -x = -3*k - 4, -4*k - l*x + 16 = -4. Solve 7*r - 12*r - 25 = k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 11*h = h - 9, -56*p - 53*p + 4*h + 18 = -111*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 170332 (base 8) to base 2.\nAnswer: 1111000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -13*a*t**3*u - a*t*u + 28*a*t + 2*a*u - 119927*t**3*u - t**3 with respect to a.\nAnswer: -13*t**3*u - t*u + 28*t + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6941704, 6941695, 6941680, 6941659, 6941632?\nAnswer: 6941599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 840547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be -148 + (1 - 1) + 2. Let h = t - -155. Are h and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 26 = 30. Suppose -4*i - 13 = -5*n, i + g*i = -3*n - 7. Sort -1, -4, i, -3.\nAnswer: -4, -3, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5615791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -86 (base 16) to base 14.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18253 + -26922. Let l = -3402 - m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -120201220021 - 211?\nAnswer: -120201221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1181194, -2362398, -3543616, -4724854, -5906118, -7087414, -8268748, -9450126?\nAnswer: -10631554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 - -47. Let m = -24 + x. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (36*c**4 + 31*c**4 + 11*c**4)*(1 - 3 - 1)*(-c + 5 - 6 + 0).\nAnswer: 234*c**5 + 234*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2088 = -n - 5*n. Suppose 0 = -q + 3*r + 155, n + 293 = 4*q - 5*r. Suppose -2*y - x - 2*x = -q, 328 = 4*y - 4*x. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -9*d + 894. Suppose d = 5*k - 406. List the prime factors of k.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1117 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1 - (2 + -5) - -4779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110110100000 (base 2) to base 6.\nAnswer: -24052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14233668 - -14225321.887. Let l = k - -8247.11198. Let g = l + 99. Round g to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*o + 204294 = -291354. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4890\/(-4564))\/(5\/(-7)). Let c(k) = k**3 - 8*k**2 - 9*k - 1. Let h be c(9). Let v be (-28)\/16 - (-3 - h). What is the closest to -0.1 in 2, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*z**2 - 22*z**2 + 79 - 17*z**2 - 12*z**2 + 80.\nAnswer: -11*z**2 + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from {g: 4, z: 3, v: 3, t: 2, b: 4, m: 1}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3271 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 32 + -28. Let x = u - 3. What is the third smallest value in x, 1\/7, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.4681 + 2.7681. What is the nearest to 1\/4 in 0.1, -0.8, -4\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 1344 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 271561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*h + 25 = -5*c + 23*h, -c - 4*h = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -6366 (base 7) to base 10.\nAnswer: -2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.65228 + -0.34772. Which is smaller: w or 1471?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cqm when three letters picked without replacement from mqffhmchhmmmm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -3*m + 12. Let z(v) = -20*v - 108. Let k be z(-9). Suppose -4*r = -3*n - k, 0 = n + m*n - 16. Calculate the least common multiple of r and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-80156.\nAnswer: 80156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -408017 = -10158*n + 191305 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 7.29. Let u = 0.09 + h. Let o = -15.7 + 16. Put o, -0.07, u in decreasing order.\nAnswer: o, -0.07, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-10) - (-632)\/40. Let s be (-1)\/8 - (-5 - 258\/o). Calculate the highest common factor of s and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 5399541663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**3\/6 - 81*g. Let h(k) = 38*k**2 + 1. Give j(h(p)).\nAnswer: 38*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/1664*-26*(-128)\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*s + 1500807 = 198*s + 55*s. List the prime factors of s.\nAnswer: 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 750 = 36*s - 28*s + 117*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -11211, -22359, -33507, -44655?\n\"Answer: -11148*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 516 - 174 = -4*p, 3*m = -5*p + 864. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 plus 47671.2?\nAnswer: 47659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -81.02 + 77. Let t = -0.02 - i. Suppose -3*z = 11*z + 14. What is the biggest value in 1\/4, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 35.47 or -1417?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the third derivative of 1133*h**7\/105 - h**4\/12 - 3079*h**3\/3 - 80*h**2 - 32*h. What is the first derivative of b(x) wrt x?\nAnswer: 9064*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 8, 3\/4, -173?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -54.3 - 13.7. Let g = 5094.311 - 5162.31238. Let m = k - g. What is m rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2b - -9?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 17\/6, -3, -70, -1\/2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 + 4*q + 2. Determine n(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 80896409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3076 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - -3. Suppose -3*p = 5*s - 24, s = -4*s - 15. Suppose 2*g + p = 4*a + 3*g, -5 = -3*a + 4*g. Calculate the lowest common multiple of w and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 9*k + 162. Calculate r(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 4*c + 1. Let y be t(-2). Let g be y\/3*(-18)\/(-27). Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/((-252)\/(-9)))\/((-28)\/16)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7100 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*57\/(-18) + 0)\/((-123)\/246)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 140 - 140.2. Let t = -9.5 - -1.5. Let w = 8.3 + t. What is the second biggest value in 2\/11, w, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b**(-2\/11))\/(b\/(b*b*b*b**(17\/4)*b*b)))\/((b*b**(-19))\/(b*(b*b**(13\/5)\/b)\/b)))**(-28) assuming b is positive.\nAnswer: b**(-45689\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19\/109 in 1, 3\/13, -0.887?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*c + 2*y = -198*c + 2, 4*c = -2*y - 1 + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seventeen halves of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 2*f - 3. Calculate q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 17847, -4\/7 in increasing order.\nAnswer: -4\/7, -0.1, 17847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2632314.\nAnswer: 2, 3, 17, 131, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 588865014 or 588865015?\nAnswer: 588865015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-112)\/(-70) + 6\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 19157 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -364754*u - 78780 = -363441*u for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4755555us in milliseconds?\nAnswer: 0.0004755555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 481266018 to the nearest integer?\nAnswer: 21938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 0 + 3)*(2 - 2 + 5)*(-37*t + 18*t - 129*t) as w*t + x and give w.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 20779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 94836927 to the power of 1\/2, to the nearest integer?\nAnswer: 9738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6146, -6150, -6154, -6158, -6162, -6166?\nAnswer: -6170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4279 + -4195. Sort -1\/4, i, 2, -2\/3 in decreasing order.\nAnswer: i, 2, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, -0.12791, 1, 3\/23, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3 * -5154\nAnswer: -15462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 186943 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-30))\/(-7)*-3*2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*q, 2*x + 5*q + 42 = 44 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3931521846 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -53959, -85880, -117801, -149722?\n\"Answer: -31921*g - 22038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*u - 30*u + 5 = 0. Is (-97)\/1*-10 - (4 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of -2*r**6\/3 + 4*r**5\/5 + 6*r**4 + 308. Determine g, given that d(g) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -277*d**3 + 6*d**2 - 15*d - 16. What is x(-1)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (50\/15)\/(6\/27)*1424\/(-23496).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.11 + -0.19. Let f = 0.28 + q. What is the second smallest value in f, 4\/3, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + 5*c + 4*c)*(-6 - 1 + 1) + (2*c + 3*c - 3*c)*(2 + 0 + 1)*(-1 + 1 - 3).\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are -10275 and -10617 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -7 + 0*n - 2*n + 0 - n as l + o*n and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 70*n - 63*n + 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b7 (base 14) to base 7\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 182 and 1638?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 95 a factor of 1071220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -36 - -36. Solve w = f - 2 - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 955*d**3 - 580*d**2 + 17*d + 17743?\nAnswer: 5730*d - 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 5*s. Let n be f(-1). Let v = 8 + n. Let x(r) = -v*r + 2*r - r + r. Let w(a) = -5*a**2. Determine x(w(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together -3722 and -3.\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be 204\/24*(0 + 30968\/60). Let w be (244\/(-6))\/(2\/216). Let d = w + j. What is the common denominator of 30\/11 and d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -4\/7, 1597, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 + -3198?\nAnswer: -3198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5)\/30 + 117\/216. Which is the fourth smallest value? (a) -2 (b) -1 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/(-18))\/((-10)\/(-90))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 23751.65 grams?\nAnswer: 23751650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25205167\/8012208 - -2\/166921. What is the common denominator of 77\/144 and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -4 (c) 622 (d) 0.3 (e) 3\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28026402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + 1 + -23 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.134 + 0.13400425. What is o rounded to seven dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9 - -4. Which is the nearest to -0.1? (a) 0.5 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-181)\/((-976314)\/1240))\/((-15)\/(-9)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -165*g**2 + 5*g. Let d(w) = -82*w**2 + 3*w. Give -5*d(n) + 3*l(n).\nAnswer: -85*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 3*j - 13, j = -0*p + 2*p - 2. Let n be (-3)\/(p - 132\/(-135)). Let r = -95 + n. What is the highest common divisor of 16 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 34769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18124839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2514, 2448, 2382, 2316?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 4*j. Suppose -8*r - 3 = -w - 9*r, -4*r - 2 = -3*w. Suppose j = -q + w*q - 20. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -299 - -204. Let g = 92 + b. Which is bigger: -1\/4 or g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/13)\/l**9*l\/(l*l*l**1*l*l)*l*l*l**5)**(10\/3))**(1\/68) assuming l is positive.\nAnswer: l**(-200\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y**2 - 5*y**2 + 23*y - 23*y + 3*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5248\/5 less than 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2669244 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l + 13. Let z be j(-13). Factor -2\/3*n**3 + z*n**2 - n**4 + 0*n + 0.\nAnswer: -n**3*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 = -3*y - 5*c - 519, c = 4. Is 12\/(-8)*y\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.74 + -2.26. What is the nearest to k in -2, 1, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*s**5 - 6514*s**3 + 4382*s**2 - s - 1 wrt s?\nAnswer: 180*s**2 - 39084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5924729963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 1.7. Let h = -0.5 + v. Let k = 6 + -9. What is the second biggest value in 0, h, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -90, -173, -310, -519, -818, -1225, -1758, -2435?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16.00036 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42642?\nAnswer: 2, 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6030\/1072)\/(10\/32).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = n + 64. Suppose 3600 - n = -8*b. Let a = -285 - b. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/17)\/(o\/(o*o**1)))\/(((o**1*o)\/o*o)\/o*o)**(2\/135) assuming o is positive.\nAnswer: o**(2497\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1978, -2713, -3442, -4165, -4882, -5593, -6298?\n\"Answer: 3*b**2 - 744*b - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 98 - -593?\nAnswer: 62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 935514 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*x - 41*x = 8. Sort -34, -4, x, 0 in descending order.\nAnswer: x, 0, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of f**2\/2 + f - 67. Let a(y) = -40*y - 36. Calculate 2*a(u) + 72*v(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4828 and 10224?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + 2*i**2 + i)*(32*i**3 - 16*i**3 - 18*i**3) + (0*i**5 - 3*i**5 + 2*i**5)*(1 - 5 + 2) + 3*i**5 - i**5 - 3*i**5 - 2*i**4 + 2*i**4 - 3*i**5.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 277*w + 94 + 280*w - 557*w + 16 + 12*w**3 in the form v + s*w**3 + d*w + t*w**2 and give v.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 251\/(-3)*1272\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2276, 2257, 2224, 2177?\n\"Answer: -7*s**2 + 2*s + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28 + 3 - 30) + 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) 5\/7 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 0.1. Let n = -161 - 414. Let b = -579 - n. What is the nearest to s in b, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 - 1. Let y be (-20)\/6 - b\/12. Put 5, 0, y in decreasing order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**3 - p**2 + 3*p + 1. Suppose 0 = -5*f - c - c - 17, 0 = -4*f - 5*c - 17. What is the lowest common multiple of 7 and g(f)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12348? (a) -2\/15 (b) 1 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -289 + 284. Let n be (-1)\/(-4 - q) - -3. What is the greatest common factor of n and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 - 2*q**2 - 2*q + 2. Let j be l(3). Let u be (j - (1 - -2))\/(-7). What is the nearest to 0 in u, 4, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 12 = -t - 2*s, 4*t + 4*s - 12 = 0. Let g be t*(-28)\/(-8)*5. Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -16. Let c(b) = -b**3 + 11*b**2 - 7*b - 22. What is the remainder when c(z) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 4 = 2*u. Suppose u*y + 9 = 12. Suppose -n - y = -4, -g + 208 = -n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 20059193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -4*l + 4*i, -2*i + 8 = -4*l + 22. Factor 2*g - l*g - g**2 + 0 + 3*g - 1.\nAnswer: -(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the second derivative of k**7\/42 - 2*k**6\/25 + k**5\/25 + 8*k. Factor v(g).\nAnswer: g**3*(g - 2)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 583 - -385. Let v = -261 + q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 AM and 11:02 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1693 - -1698. Sort -2, 2\/23, -4, l in decreasing order.\nAnswer: l, 2\/23, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.35 * -22.87\nAnswer: -8.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -26*m**2 - m. Calculate n(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 12146, 48964, 110326, 196232, 306682?\n\"Answer: 12272*y**2 + 2*y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 157207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5901098657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(5 + 1*sqrt(176) + 2))**2.\nAnswer: 56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 960 and 2112?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + 12 + (-35 - -9) - (-41 + 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4438415 to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v\/(v*v**(-1)*v)))\/(v*v**0*v*v*v)*(v*v\/(v\/v**1))**32 assuming v is positive.\nAnswer: v**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (396\/27)\/(1\/75000). Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the second derivative of -2047*q**5\/20 + 191*q**4\/6 + 17*q + 14. What is the third derivative of x(s) wrt s?\nAnswer: -12282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/10)\/(-2 - (-10)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-158)\/(-1106))\/(1\/1*-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 45 divided by -45\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4018314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/4)\/(2\/(-76)). Let q = h - -32. Let v = 21 - q. What is the remainder when 23 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7568, 15012, 22456, 29900?\nAnswer: 37344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 2*r - 72, -7*p + 4*p + r + 44 = 0. Suppose 5*a - p = -6, 0 = 4*u - 2*a - 4. Solve u*q - 2 - 4 = -4*j, q + 4*j - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 61.40008 centuries to months.\nAnswer: 73680.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -116\/653 in -2\/3, 2\/19, 1, 0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (3 - 0)\/(1 + 2\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 11*y + 2. Let g(t) = -10*t - 3. Let q = 4758 + -4762. Give q*g(a) - 5*f(a).\nAnswer: -15*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 254 is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004458 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.11 (b) -0.1 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*((b\/(b*b**(4\/3)))\/b)\/b)\/b))\/b)\/(b\/(b*b\/b**(-2\/9)))*b**(-2)\/(b*b\/(b*b**5)) assuming b is positive.\nAnswer: b**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 32.6 - 32.2. Put i, 1\/4, -2 in descending order.\nAnswer: i, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -0*y - 3. Suppose -5 = -5*o - 5*j, 3*j - 2 = o + y. Suppose o = 5*p - x - 25, 3*p = -4*x + 19 - 4. Is p smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-551 + 72*p + 551)*(3*p - 4*p - p).\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of 0 + 9\/2*h**3 + 1\/120*h**5 + h**2 - 1\/2*h**4 + 0*h. Let n(r) be the first derivative of m(r). What is n(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of -s**3\/2 - 7*s**2\/2 - 169*s + 1. Give q(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20 + -17. Find v, given that -2\/5*v + 0 + 2\/5*v**x - 2\/5*v**2 + 2\/5*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - ((13 - 24) + -2 + 40)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -123, -144, -167, -192, -219, -248?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1458698*30.1\nAnswer: 43906809.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z = -83 - 127. Let c be (-7)\/z + (-11)\/(-5). Let v(x) = 31*x**2 - 62*x**c + 32*x**2. Let p(t) = -2*t. Calculate p(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(-8 + 7 + -2). Let c(s) = 132*s**2 - 398*s**2 + 135*s**2 + y + 130*s**2 - s. Calculate c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 241, 2664, 9249, 22078, 43233, 74796, 118849?\nAnswer: 177474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*x + 50 = -101 - 87 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**4 + 294*t**3 + 14472*t**2.\nAnswer: -3*t**2*(t - 134)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4*(-9)\/(-18))\/1. Let s(v) = v**3 + 3*v**2 + 2*v - 1. Let m be s(-2). Which is the second smallest value? (a) z (b) 3 (c) m (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 72.9 - 73. Which is the closest to -1\/8? (a) 0.1 (b) g (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*p**3 - 5*p**3 - 2*p**3 + (-762 - 22*p + 762 + (-4*p + p + p)*(4 + 1 - 4))*(-2*p**2 + 3*p**2 + p**2).\nAnswer: -51*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -u - 24, -3*q - 3*u + 2*u + 31 = 0. Suppose -29 = 4*s + j, -2*s + j = 8 + q. Let o = s + 24. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300)*1)\/(-6*sqrt(64)) + 5 + (sqrt(27)\/(sqrt(144)*-1))**2.\nAnswer: -5*sqrt(3)\/24 + 83\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1740975 is divided by 870481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -11797915.3 to the nearest 1000.\nAnswer: -11798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.02 times -2\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 113*u - 317 + 101 - 840 = 639 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -1890*b**2. Let o(l) = 14*l. Give o(m(v)).\nAnswer: -26460*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -4*x - 1. Let a(f) = f**3 - 11*f**2 - 13*f + 10. Let n be a(12). Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -62\/1727495 and 123\/314090.\nAnswer: 3454990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + 5*p + 4. Let n = -34 - -13. Let s = -25 - n. Let h be u(s). Solve 4*f = -h*z + 2*z - 12, 17 = -5*f + 3*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5e - 8b9?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 28*l**2 - 8*l - 12. Let h be t(-2). Calculate the greatest common factor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + 8, 2*x = 2*n + 7*x - 2760. What are the prime factors of n?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -159*j + 765*j + 417*j = 32220 - 105876 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 373757 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22679 - 22641.0561. Let x = 38 - j. Let k = -0.1769 - x. Round k to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2680 and 62712?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (8 - (16 - 3)) + 5 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 42085602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 34811839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4 * -20139080\nAnswer: -80556320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 485566687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -4713*w + 491*w - 916*w in the form l + p*w and give p.\nAnswer: -5138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -15964656*b. Let m(g) = -5*g. Give z(m(q)).\nAnswer: 79823280*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -4*m**3 - 4*m**2. Suppose 3*d - 5*v = 5*d + 3, -3 = 3*v. Let n(y) = y**2. Calculate d*g(p) + 4*n(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 46577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 2*v + 2 + 16)*(-4*v + 2*v + 3*v)*(-4862 + 4862 + 231*v).\nAnswer: -462*v**3 + 6468*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 3*w + 683 = p, 2*p = -5*w + 1710. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 1\/3 (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {x: 2, r: 4, g: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*b*c**2*i**2*x + 215*b*c**2*x + 175*b*c*i**2*x + b*i**2*x - 2*c**2*i*x - c*i**2 + x wrt c.\nAnswer: -8*b*i**2*x + 430*b*x - 4*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q + 24. Let a be r(22). Solve a*f = 3*x - 8, x - 12 + 4 = -2*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*s + 2*m - 19, 1420*m - 1424*m + 8 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-10)*(-110)\/165?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -22*t + 864. Suppose 39*u = 35*u + t. Solve 2*i = -i - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3353, -3355, -3357, -3359, -3361, -3363?\n\"Answer: -2*u - 3351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8f - -3d?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -45597995 - -14097995. What is b rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is i in -i**4\/6 + 105781*i**3\/6 - 105779*i**2\/2 + 317335*i\/6 - 52889\/3 = 0?\nAnswer: 1, 105778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -517+-1.8709\nAnswer: -518.8709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 44*k**2 - 5*k + 1. Let b(i) = 43*i**2 - 4*i + 1. What is 5*b(l) - 4*j(l)?\nAnswer: 39*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -175 - -170. Let c = -8 + 13. Suppose -2*g + 15 = 5*t - 5, -12 = -3*t + 5*g. Sort c, t, a in decreasing order.\nAnswer: c, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 11:54 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 34182895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, r: 4, i: 2, o: 2, u: 1, w: 1}. Give prob of sequence oruh.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13174 is divided by 98.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zqzgmm. Give prob of sequence qzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bcb when three letters picked without replacement from vcbgcgqb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/(-280) - (8613\/(-580))\/99?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 2:33 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes after 8:57 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 3*k - 27 = 0, 0*w - 5*w + 2*k - 28 = 0. Let b = 265 + -268. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2076 is divided by 140.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 3:19 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 + 9*g**2 + g. Let n be x(9). Let b(z) = -z**2 + 12*z - 19. Let s be b(n). Solve 2*t = -4*i + 8, 0*t + 2*i = t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = -2*m - 5. Let l = m + -15. Differentiate 9 + l - u + 0*u - 3 with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -4.6. Let s = -0.5 + l. Which is the second biggest value? (a) s (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2194, -2193, -2192, -2191, -2190, -2189?\n\"Answer: u - 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 12 + -11 + (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1969\/(-716) + 171\/76.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 6:58 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, 0.3, -6, -0.1, -55\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -250665 = 578*b - 608*b + 2406*b - 17817 for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/7124 and -15\/12056.\nAnswer: 156728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5 + -3)*(-2)\/(-4)*-10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 4*w - 7. Determine c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -5*d + 0*d - 5 + 4*d. Let u(l) = -12*l - 811. Let j be u(-67). Give p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -k**4\/2 - 1119*k**3\/2 - 153976*k**2 + 1426920*k - 1272384 = 0.\nAnswer: -564, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 21425.\nAnswer: -64275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - t**2 + t. Let y be g(-2). Let i be y*5\/(-2)*1. Let x be (i\/14)\/(1\/2). Solve x*a = -3*s + 6, 12 - 4 = -2*a + 4*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 23522, 23313, 23048, 22727, 22350, 21917?\n\"Answer: -28*d**2 - 125*d + 23675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 4*a - 3. Let k be w(2). Let y be 6925\/275 + (-4)\/22. Solve 4*c + 1 = -2*o + 3, -k*o - y = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -35\/1459622 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*i + 2*d - 2, -163*i + 4*d - 4 = -165*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1326520 is divided by 28223?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -19, -17, -29, -67, -143, -269, -457, -719?\n\"Answer: -2*h**3 + 5*h**2 + h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r + 1259 = 307. Calculate the remainder when r is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 - (11 - 2)*8\/(-12). Is 13 a factor of s\/(-49)*0 + 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.98 + 4.28. Let t = 2.9 - u. Which is the smallest value? (a) -0.1 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34373 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of -u**3\/2 - u**2 - 2*u + 4. Let y(b) be the first derivative of k(b). Calculate y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000195972 rounded to seven dps?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1803*j**4 + j**3 + 44*j*q + 1030442*q wrt j.\nAnswer: 7212*j**3 + 3*j**2 + 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 42 - 54. Let k be 0 + -4 - (o - -2). Solve 15 = -3*u, 4*u + 40 = 2*i - k*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -778*0.2\nAnswer: -155.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.4 + -2.4. Let j = l + -2. What is the nearest to 2\/5 in j, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.119 - 0.419. Which is the nearest to 208? (a) 0.4 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6006.1 - -1884.881568.\nAnswer: 7890.981568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/sqrt(96))\/((1*sqrt(90))\/sqrt(9)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**2 - 2123185*m + 118914040.\nAnswer: -5*(m - 56)*(m + 424693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-64))\/(((-2)\/1)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 90347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 4*b**3 + 15*b**2 + 4*b. Suppose 0 = 5*t + 5, -5*n - 2*t - 32 = -20. Let o(g) = -g**3 - 4*g**2 - g. Determine n*a(x) - 9*o(x).\nAnswer: x**3 + 6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 7555412 (base 9) to base 16\nAnswer: 3dd495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 46 + -61. Let u = 11 - d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3233*f**2 - 5 + 5.\nAnswer: 3233*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -2299.563013 to 1 decimal place.\nAnswer: -2299.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = -3*k + 4*g - 98, -k - g = 0. Factor 2\/11*l**k + 0 + 0*l + 2\/11*l**3 - 4\/11*l**2.\nAnswer: 2*l**2*(l - 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -36*r**4 - 294904*r**3 + 82335760*r**2 + 147437536*r - 36826624 = 0. What is r?\nAnswer: -8462, -2, 2\/9, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*c - 4 = k + 8, -39*c + 40*c = -2*k - 49 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 0*i + i + 16*i**4 - 9*i**4 wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 5, -3*z = 3*p + z + 26. Let x(d) = d**2 + 8*d - 2. Let s be x(-4). Let v be 1 + 0 - (-14)\/s. Which is the closest to v? (a) -4 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -2*y - 210, 28*y - 4*j = 19*y - 967. Let p = -30 - -59\/2. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 + -4. Let a = 11.5 + r. Sort 0.2, 1\/2, a in increasing order.\nAnswer: a, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**22)\/(i\/i**26) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - a = -10. Let d = 16.3 + -17. Let j = 0.8 + d. What is the smallest value in j, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - s - 4*s + 7 = 0, -12 = -2*p + 4*s. Let o(m) be the second derivative of 3*m + 5\/6*m**3 - 3\/2*m**2 + 0 + 1\/12*m**p. Give o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21*1764.\nAnswer: -37044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 1160 divide 44490640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 1647?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**2 + w**4 + 16*w - 24*w + 10*w + 4*w**3 + 0*w**3.\nAnswer: w*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*s**4 + 2*s - 5*s + 2*s + 9*s**3 - 2*s**3 + 51*s**3 to the form a*s**2 + l*s**3 + c*s + m*s**4 + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 0*o**2 - 2\/23*o**3 + 0*o + 0*o**4 + 2\/23*o**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 21*m - 56 + 13 + 49 + (2*m - 5*m + m)*(-5 + 2 - 23) in the form q*m + o and give q.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m + 4*g - 831 + 809, 2*m - 3*g + 13 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iwrxxhireeirixr. Give prob of picking 1 h and 2 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -330 + 155 + 2*d + 171 + 2*d**3. Let x(j) = 5 - 14*j**3 + 12*j**3 + 2*j - 2 - 3*j. Give 3*t(z) + 4*x(z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d\/(d*((d*d**(-3\/13))\/d*d)\/d)*d*d*d**(-8\/5)*(d\/(d**(7\/2)*d))\/(d**15\/d))**(-2\/81))**8 assuming d is positive.\nAnswer: d**(16504\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1 (b) 5 (c) 1\/7 (d) 3\/82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyyayyyuyyauayyyyuy. Give prob of sequence uyu.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 9 = 5*h + m, -2*h + 30 = -2*m. Is h\/42 + 3267\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of t**4\/6 - t**3\/6 + 5*t**2 + 1. Give i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 35*t + 360. Let k be z(-20). What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 15, b: 5}. Give prob of picking 4 m.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1377972 and 3240.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from aaaooaaaoooooaoxoao.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -3*y, -3*p = 4*y - 3*y. Solve y = -8*g + 12*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3371 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:48 AM and 4:04 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be -16*(-2 - 66\/(-24)). Let i be (-2)\/4 + (-9)\/x. Put -8, i, -0.03 in increasing order.\nAnswer: -8, -0.03, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-8)*r)\/(r\/((r*r**2*r)\/r)*r))\/(r**(1\/2)*r\/(r*r*r*r**6)))**(-1\/16) assuming r is positive.\nAnswer: r**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 798768 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 - -1)\/((-16)\/55 - (-13)\/143). Solve -443 = g*w - 403 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3*h - 30. Suppose 36 = 3*l + p, -4*p + 20 = 4*l - 28. Let w be b(l). Solve -w = -4*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.21 - 16828314.7\nAnswer: -16828314.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -333, -325, -303, -261, -193, -93?\n\"Answer: y**3 + y**2 - 2*y - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -5*n**2 - 53007655*n = 0.\nAnswer: -10601531, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(171))*1*2*-4)**2.\nAnswer: 384*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 364584172 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2151 a factor of 919534982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o = -15*o. Let a(w) be the first derivative of o*w + 0*w**3 + 6 - 1\/22*w**4 + 1\/11*w**2. Factor a(p).\nAnswer: -2*p*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19 + -19. Suppose j = c - 1 - 1. Determine d so that -d**3 + c*d**4 - 3*d**4 + 3*d**4 - 2*d**2 + d**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of n - 1. Let g(f) = 2*f + 3. Let z(t) = t**2 + t - 1. Let q be z(0). Suppose -7 = -5*u - 2*u. Calculate q*b(r) + u*g(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1555844.3 plus 22.154?\nAnswer: -1555822.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -400 + -1030416?\nAnswer: -1030816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 - 7. Let q(r) be the first derivative of r**3\/3 + 7*r**2\/2 - 9*r + 3. Let u be q(-8). Which is the closest to m? (a) -1\/4 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -22 + -1448046?\nAnswer: -1448068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u + 1. Let k(a) = -a**3 + a**2 - a + 3. Let z(w) = -2*h(w) + k(w). Let n(x) = -7*x**3 + 7*x**2 + 6*x + 8. Calculate -n(s) + 6*z(s).\nAnswer: s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 10178 by -5674.\nAnswer: -5089\/2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -3*r - 1. What is the units digit of p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4, 14, 30, 52?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 2*n = 380. Suppose 42*p - 2240 = -46*p + 5152. Let y = p + n. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -162*k**3 - k**2 + 37*k + 148. What is the thousands digit of s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32*u**3 + 4625*u**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of r**4\/2 - r**3\/6 + r**2\/2 + 42*r. Determine a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 545\/9992?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -121*d**2 + 42113*d - 1777. Determine q(348).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 150*a = -148*a - 9 + 1, 0 = 5*a + 5 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 + 11*x + 2. Calculate the lowest common multiple of u(11) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + 11001101023?\nAnswer: 11001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-15)\/(-7) - 4\/28. Suppose 101 = -4*j - 5*a, 51 = -r*j - 6*a + 3*a. What is the remainder when 12 is divided by 38\/6 + (-16)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8315 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/5? (a) -2 (b) 4\/57 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.2 or 4\/73029?\nAnswer: 4\/73029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -200102 (base 3) to base 4.\nAnswer: -13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-12129 + 1)*(-5)\/20.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.015325196 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 31 - 8 - 17 + 8*p**4. Let x(b) = b**4. Suppose n - 7 = 3*i, -n + 1 = 3*i - 12. Let u(v) = n*x(v) - r(v). Differentiate u(s) with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -2*o**2 + 15*o + 10. Let s be c(8). Let d(k) = -k + 1. Let m be d(2). Let v = 0 - m. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.82737 and -18.15?\nAnswer: -15.0167655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*f - 9*f - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -852352*s**5 - 5*s**2 + s - 57367?\nAnswer: -51141120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -13000210 (base 4) in base 9?\nAnswer: -43337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2. Let d be o(1). Let k = 31 + -28. Suppose 5*m = 7*m, k*m = 4*a + 20. Put 0, a, d in descending order.\nAnswer: d, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-15)*w\/(w\/w**15))\/((w*w\/(w\/((w\/w**(-5))\/w*w)))\/w)**(1\/8) assuming w is positive.\nAnswer: w**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*(-1)\/16*34*(-1)\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 5\/3 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (8307150\/750)\/(1\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112068 divided by 3?\nAnswer: 37356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 5816429 = -4*l, -3*u - 5886671 = 4*l - 70232. Let f = 1031061 - 176955. Let y = f + l. Round y to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.5, 0.4, 360\/7, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, x: 5, h: 1, s: 2}. What is prob of sequence xss?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.13 + 0.07. What is the second smallest value in -2\/7, 3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -204297.4 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -320 + 1925\/6. Let k = -1.97 - 0.03. Let j = -3 - k. Sort -5, h, j in decreasing order.\nAnswer: h, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**4\/3 + 244*j**3 - 22326*j**2.\nAnswer: -2*j**2*(j - 183)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + (262 - 251) + 1 + -19 + 0 + -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4497 <= 4497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 4:55 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r**2\/4 - 359*r\/4 + 90 = 0. Calculate r.\nAnswer: -360, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s - 4. Let d be v(-6). Suppose 10 = d*i - 26. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1355 - -1355.3. What is the nearest to -1\/2 in 3\/4, -2\/5, -2\/15, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 2*j**3 + 15*j**2 - 5*j - 39. What is the remainder when b(-7) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the first derivative of 17*m**5\/120 - 5*m**4\/8 - 11*m**3\/3 - 14. Let t(k) be the third derivative of g(k). Differentiate t(b) wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 + 6*p**3 - 9 - 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 274, 449, 622, 793, 962, 1129?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 12*h**2 - 69*h - 497. Give k(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 162665761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 164088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of 485*c**6\/6 - 113*c**2\/2 + 3*c - 1869. What is the second derivative of w(o) wrt o?\nAnswer: 9700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-161)\/(-35) - (-6)\/(-10). Let j be (-8)\/16 - (-14)\/v. Suppose -j*d + 12 = 2*q, 5*d = 11 - 1. Solve -q*x + 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 2 - -46) + -2. Let j be 1\/(-2)*(-3 + 3). Let i(q) = 50 + q**2 - r + 6*q + j*q. Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 0*f - 36 = 0. Suppose 4*w = 7*w - f. Solve -3*b = -w - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 7:50 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 32394140*j**3 - 32394140*j**3 - 858 + 2279*j**4 wrt j?\nAnswer: 9116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -381 = -30*o + 5349. Suppose -o + 142 = -v. Calculate the remainder when v is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 183 = -3*m - 195, -3*i - 16 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -46 - -50. Suppose -2*p - 101 - 433 = -c*f, -2*p - 398 = -3*f. Round f to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(95) - -2*sqrt(95))*-1)\/sqrt(5) - ((sqrt(133) + -1*sqrt(133))*-5 + sqrt(133))\/sqrt(7)) + -1.\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (44\/(-20) - -3)*(-1 - -2536)\/3. Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(280)*2)\/sqrt(7) + sqrt(640)*1)\/((sqrt(8) + -2*sqrt(8) - sqrt(8))*1 - -2*sqrt(200)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/(10\/(-4)) - 1. Let i be -1 + (-1 - 2) + q. Suppose -n - 240 = 47*n. Sort n, i, 4 in decreasing order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -7\/709?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 200 divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**6\/m)**(4\/35))**(10\/11) assuming m is positive.\nAnswer: m**(40\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 2*t**4 - 3*t**3 + 3*t**3 + (2*t - 4 + 4)*(0*t**3 + 4*t**3 - 6*t**3) + 13*t**4 - 30*t**4 - 7*t**4 as p*t + o*t**2 + c*t**3 + d + x*t**4 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 38956, 39164, 39372?\nAnswer: 39580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1722\/4729 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of -l**5\/40 + 7*l**4\/24 - 2*l**3\/3 - 4*l**2 - 13*l. Factor y(x).\nAnswer: -(x - 4)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 - 5*u + 3. Let l be i(-2). Suppose -97 = l*y - 637. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 14\/125869 and -71\/382?\nAnswer: 251738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -227.24 - 1.6?\nAnswer: -228.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14.95 + -14.85. Which is the third biggest value? (a) n (b) -5 (c) 0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9404.05 litres to millilitres.\nAnswer: 9404050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4475*b**3*d - 129*b**3 - 2*b**2*d + 342611367*b*d wrt b?\nAnswer: 26850*b*d - 774*b - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 22 = -3*v - v, -5*v = -20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/3, 2\/3, 6, -3, 18\/13?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/(sqrt(36)\/sqrt(6)))\/(2*sqrt(800) - sqrt(800)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 40*q**2. Let n(w) = 3*w. Give n(y(f)).\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 4*j**3 - 1912*j**2 + 123508*j = 0.\nAnswer: 0, 77, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - (-18 - (-42 + 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-2)\/(-3))\/((-2)\/(-3)). Let k(g) = -20*g**3 - 6*g**2 + 2*g + 10. Let u be k(2). Let a be u\/68*-3*(-12)\/(-10305). Which is bigger: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48531929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 38.75464 litres in millilitres?\nAnswer: 38754.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the third derivative of l**6\/120 - l**5\/20 - 11*l**4\/8 + 35*l**3\/6 - 3*l**2 - 10. Factor w(g).\nAnswer: (g - 7)*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 40\/15*(-18)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + 5*m - 4*m + (-4 + 2*m + 4)*(1 - 4 + 1) - 3*m + 3*m - m)*(-43*m - 25*m + 15*m).\nAnswer: 159*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**3 + 7*g**2 + 3*g - 4. What is the tens digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 10 + 11*g + 76*g - 12 - 2. Let p be c(-1). What is p rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2431411301 - 10?\nAnswer: -2431411311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1824*v - 162 = -1905*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21682 is divided by 199.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1187 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.13 and -24.21.\nAnswer: -3.1473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*(-4)\/(60\/(-3))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22615 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1c1c (base 13) in base 5?\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of 5\/3*h**3 + 405*h - 45*h**2 + 9. Find d, given that l(d) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1577 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -2*sqrt(432))**2.\nAnswer: 96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2771773085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*m + 4*m + 1062*m**2 + 3114*m**2.\nAnswer: 4176*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3366 + 40261\/12. Let s = -181543 + 363069\/2. Calculate the common denominator of s and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/56)\/((-62)\/217).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = -0*r + 4*r + w, -42 = -3*r - 5*w. Let x be (r\/(-10) - (10 + -10))*-5. Is (110\/3)\/(x\/21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 3*m**3 - 2. Let b(d) = d**3 + 17*d**2 - 9*d + 1. Give b(s) - v(s).\nAnswer: -2*s**3 + 17*s**2 - 9*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 2*t - 4*c = -36, 4*c = 2*t - 20. Let l = t - 5. Let m(h) = h**3 + h - 4. What is the units digit of m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 55963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -102, -203, -302, -399, -494, -587, -678?\n\"Answer: c**2 - 104*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 26\/15 - -1\/10. What is the common denominator of v and 82\/345?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 = -11*p + 13*p + 2*x, 0*p + x + 8*x + 192 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 5 - 1 - 3 - (-12 + (13 - -66))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*s + 26 = 114. Let u = s + 392. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 5*x**3 - x - 3. Let m be s(3). Suppose -9 = -3*d - m. Let l = 46 + d. Calculate the highest common divisor of l and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -50 + 79. Suppose -2*k - 12 = -4*c + 2*k, 5*k + 3 = 2*c. Suppose 4*o - 15 - 13 = -2*z, -c*z + d = 5*o. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32787381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k - 4. Let w be (-10)\/4*(-6)\/(-3). Let n(p) = p - 5. Let v(b) = w*c(b) + 4*n(b). Suppose 5*s - 7 = 4*f + 13, 5*f + 2*s = -25. Give v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37 - (1 + -3 + -51 + (84 - 38)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of -d**2\/2 + 6. Let t(m) = -2*m - 2. Give -4*j(r) + t(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-26) + 350\/(-7150).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hwew when four letters picked without replacement from {w: 2, e: 15, h: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29.6 + 29.58. What is the second smallest value in -4\/9, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10390 + 10402. Put u, 0, -52 in descending order.\nAnswer: u, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, k: 2, n: 3}. Give prob of sequence wn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z**3 + 75*z**2 - 101*z - 23. Let x be s(-20). Let d be 2*(-3)\/6 + 0. Sort x, -4, d in descending order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(220)\/sqrt(36))\/(sqrt(275)*1 - sqrt(275) - sqrt(275)))**2.\nAnswer: 136\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 404941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + 13*s**2 + 4*s + 24. What is j(-13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -9*v**2 + 7*v + 7. Let y be 2\/3 + (-43)\/(-3). Let s be 1\/2 + y\/(-2). Let r(w) = -5*w**2 + 4*w + 4. Calculate s*r(t) + 4*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 150 and 21550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 2*r = -800 + 278, 5*i - 5*r = 675. Suppose -5*l + i + 18 = 0. Suppose -2*x + 7*x - l = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {i: 1, n: 1, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 3*p - 5*q = -722, 2*p + 2*q = 358. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 290421 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -378*c**2 + 9824*c + 69. What is s(26)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 = 17*k + 2907. Let g = k + 695. What are the prime factors of g?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 643537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.3 + 0.7. Put -2, 0.2, 2, i in increasing order.\nAnswer: -2, 0.2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10 or 19298?\nAnswer: 19298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-79632)\/(-77) + (-1 - 18\/(-22)) is divided by 1026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 97924866 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/(-1) + (3 - -3). Suppose -n*b - 44 = -x, -x - b = 3*b - 44. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -0.1, 1\/7, -98, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -17 by 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 29, 227, 559, 1025, 1625, 2359, 3227?\n\"Answer: 67*b**2 - 3*b - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*x + 10*x + 3*x**4 + 3*x - x**4 wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 750 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-55)\/(-15) - 4)\/(10\/150)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 81, 163, 229, 261, 241, 151?\n\"Answer: -3*h**3 + 10*h**2 + 73*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 483\/193 + -75907\/22388. Find the common denominator of -1*1 + 59\/(-4) and o.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-144)\/(-288) - -2*(-218)\/(-8). Suppose 24 = f + 78. Let k = f + r. Do k and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.55 - -1.1. Let u = f - 0.55. What is the biggest value in -1, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 182993631 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*q - 36847 = 0, 2*k + 2*k = -2*q + 147300. Suppose 0 = -3*w + 5*f + k, -3*w = -0*w - f - 36811. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28\/1)\/((-7)\/(-315) + (-19)\/1140*-12).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4309 and -0.5?\nAnswer: 2154.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 1013 = m + 1006, m - 5 = -h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nfnwnwniniriwiidrnr. Give prob of picking 1 w, 1 n, 1 i, and 1 r.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 163951107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -z - 19, -b + 3*z + 17 = 3*b. Let k(i) = 2*i + 2. Let g be k(b). What is the second derivative of -g*q**2 - 3*q + 7*q**2 + 9*q wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u - 1. Let s(t) = -8*t. Let n(f) = 2*s(f) + 14*v(f). Let y be n(-7). Is -2\/7 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3647 = 2801*k - 49572 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 49322 divided by -91?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*-1*sqrt(81)\/sqrt(3))\/(((-1*sqrt(450))\/sqrt(10))\/sqrt(5))*4)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1103*l**2 - 389*l**2 - 343*l**2 - 426*l**2.\nAnswer: -55*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -23*n**2 - 30. Let g(f) = -f - 17. Let r be g(-14). Let x(l) = 24*l**2 + 30. Let o(t) = r*y(t) - 4*x(t). Differentiate o(b) with respect to b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hsgl when four letters picked without replacement from glllghhshesxgehsg.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -895a (base 11) in base 4?\nAnswer: -2320122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1136650423*n**3 - 664616529*n wrt n?\nAnswer: -6819902538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -32 + 82?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(22)\/sqrt(2) + -4) - -5*1*sqrt(99).\nAnswer: 16 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -h**4*u**2 + 32460000*h**4 + h**2*u + 7747*u**2 - 202*u - 1 wrt h.\nAnswer: -24*h*u**2 + 779040000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -454, -393, -2, 274, -1 in ascending order.\nAnswer: -454, -393, -2, -1, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18)\/(-15) + 2)\/(-12 - (-3700)\/250).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 345, 2506, 6115, 11178, 17701, 25690?\n\"Answer: h**3 + 718*h**2 - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let g = -9.8 + 14.5. Let l = 5 - g. Let w(j) = -15*j**2 - 195*j + 2. Let o be w(-13). What is the nearest to o in l, -0.1, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 500 and 700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 736720739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10626 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - c - 4 = 0, -4*s = -4*c + 2*c - 8. Let d(v) = s*v + 5*v - v - v + 16. Let b be d(-6). Is b equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 4:03 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 111, 190, 267, 342, 415, 486?\n\"Answer: -s**2 + 82*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2, 0.0231, 3?\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.5 + 1.8. Let p = 4 - 3.9. Suppose 0*n + 8 = -4*n. What is the closest to 1\/3 in n, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11 - -35?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -z, 5*q = q - 2*z + 704. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1209 and 17511.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -76, 0, -1, -20, 0.15.\nAnswer: -76, -20, -1, 0, 0.15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170)*-1*-5 + sqrt(170))\/(sqrt(10) + (sqrt(120)\/(sqrt(48)\/sqrt(4)) - sqrt(10)))*5 + -4 + (sqrt(2057) + 0)*-1 + 3.\nAnswer: -1 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -1 (c) -32707\/2 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 11130.\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uowojwwjjjjl. Give prob of picking 2 u and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) -2 (d) -3 (e) 13 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.05466 + 0.24534. Which is the closest to 1? (a) 5\/53 (b) h (c) -0.5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104420754.\nAnswer: 2, 3, 2089, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (70 - (50 - 26)) + -23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 3*q - 1 - 4*q)*(3 - q**3 - 3) - 4106*q**4 - 76359*q**2 + 76359*q**2.\nAnswer: -4107*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/4)\/(11169\/876)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g - 57. Give c(30).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1429 or -1428?\nAnswer: -1429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-1\/5)*i)\/(i*i\/i**(-12)))**(19\/5))**(2\/15) assuming i is positive.\nAnswer: i**(-836\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 329547 = -5*r, 3*r + 25*q - 197710 = 20*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 3*g**2 + 4*g - 12. What is p(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -81745 - 8a?\nAnswer: -81813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -87 - -52. Let h = 34.9999997 + p. What is h rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -2*k + 0*k**2 - 2\/3*k**4 - 1\/21*k**7 - 1\/3*k**3 + 0 - 4\/15*k**6 - 3\/5*k**5. Factor z(t).\nAnswer: -2*t*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -85 (b) 1 (c) -4\/5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 14172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 24630471 to the power of 1\/2, to the nearest integer?\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 AM and 7:09 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/(sqrt(18)*2))\/((1*sqrt(8))\/sqrt(2) + sqrt(28)\/sqrt(28)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -12*y**2 - 5*y - 82. Let a(w) = 13*w**2 + 6*w + 81. Let x = -355 - -358. Let p(o) = x*a(o) + 4*l(o). Differentiate p(u) with respect to u.\nAnswer: -18*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 31*v**3 + v + 2*v + v**3 - 8*v**3 wrt v.\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*d - 67 - 75 = -29*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -15642*y - 125132. Give i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1888\/72 - (-2)\/(-9). Let d = j + -31. Let m = d - -17. Calculate the smallest common multiple of 60 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(12\/26) + -2. Let j = n + -3. Let s = -0.5 + -2.5. Which is the nearest to 0.2? (a) 3 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one half of a litre?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of 0*o**2 + 3 + 0*o - 1\/3*o**3. Let k(j) be the first derivative of j**2 - 1. Determine k(w(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 4 + (sqrt(76) + 0)*-5 + ((sqrt(76)*-1 + sqrt(76))*1 - sqrt(76)))**2.\nAnswer: -192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5665\/4 - 1414. Calculate the common denominator of g and -1 + 6\/(-22) - -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 + -0.05657618927?\nAnswer: -0.14657618927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + k + 1 + (-2 + 1 - 1)*(-4*k + 5*k + k) - 3 + 3 + k - 4*k + 2*k + 4*k + (0*k + 2*k + 0*k)*(4 + 0 - 3) - k - k + 5*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 31 + 21 + -33.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -16*q**2 - 67*q**4 + 16*q**2 + (-3*q**2 + 3*q**2 - 2*q**4)*(-3 + 1 + 0) in the form p*q**3 + h*q**4 + z*q + d*q**2 + l and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 147 = 4*s. Calculate the remainder when 104 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2652020 by 5.\nAnswer: 530404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 4*v = -32. Let j(d) = d**2 + 6*d + 2. Let h be j(v). Let k = -1137\/10 + h. Find the common denominator of k and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + (5 - (-42 + 20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4066\/8)\/(54\/(-48) + 2). Is 580 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11000000010000 (base 2) to base 13.\nAnswer: 57a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**5 + 12*t**4 + 24*t**3 + 16*t**2.\nAnswer: 2*t**2*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.127 times 6\nAnswer: -0.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/7 + 3744\/28. Let y be w\/6 + 4\/(-12). Suppose -3*k + x = -8, 5*k - 2*x - x - 16 = 0. Calculate the greatest common divisor of k and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 261.4946 nanograms?\nAnswer: 0.0000000002614946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, 7, 21, 43?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(612) - ((sqrt(612) + -1 - sqrt(612))*6)**2.\nAnswer: -36 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of 4\/15*f**6 - 11\/20*f**5 + 128*f + 0 + 0*f**3 + 87\/2*f**2 + 0*f**4. Differentiate u(y) with respect to y.\nAnswer: 32*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*n**5 - 285*n**4 - 378*n**3 + 639*n**2 - 2*n - 16?\nAnswer: 900*n**2 - 6840*n - 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, -102, -194, -330, -528?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 168682 and 6555.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 + 0)*(2*b + 3*b - 6*b)*(0 - 2*b + 0).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t**3 - 9*t. Let c(w) = -w. Let p(k) = k**3. Let f(b) = 4*c(b) - 3*p(b). Calculate 9*f(v) - 4*j(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 != -2\/1825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92 + 92 - 50780*g**3.\nAnswer: -50780*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of -19\/120*k**6 + 0*k + 0*k**3 + 0 - 20*k**2 + 0*k**4 + 4\/15*k**5. Find the third derivative of w(a) wrt a.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q**2 + q + 1. Let n(t) = -11*t**2 - 5*t - 5. Let a(d) = 5*f(d) + n(d). Let k(s) = -7*s. What is k(a(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2562 + 2623. Solve -8*i + 21 = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13778 - -55111\/4. Which is the fourth biggest value? (a) 0.1 (b) -1\/7 (c) p (d) 0.057 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 12 + 8*d**2 + 0.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 6, c: 4}. What is prob of picking 1 c and 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 150767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8055*j**2*z**4 - j**2*z**2 - j**2 + 86358*j*z + 62*z**4 - 2*z**2 wrt z.\nAnswer: -193320*j**2*z + 1488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-21))**(-5\/7)\/(p*p**(-3\/7))**37 assuming p is positive.\nAnswer: p**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 3*h + 1981. Let c be r(46). Let n(i) = -2*i + 3. Let l be n(4). Sort l, 16, c, -4.\nAnswer: l, -4, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*r - 18*r**3 + 8*r**3 + 16*r**3 - 5*r.\nAnswer: 6*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (115 - -3)*1\/2. Suppose 0 = h + 5*z - s, 6*h - z = h + 295. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 2*n**2 - n**3 + n + 1160*n**4 - 1166*n**4 - 2 in the form a + h*n**3 + m*n**4 + t*n**2 + s*n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8400.921ml in litres?\nAnswer: 8.400921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (96\/20 - 4)\/((-8)\/(-20)). Suppose -4103 = 5*t + 3*p, 4*t - f*p + 3277 = p. What is t rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 3 + sqrt(147) + sqrt(147)*1 + -5 - 4*(((sqrt(147) + 1)*5)**2 + -2).\nAnswer: -14799 - 1386*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -4555e (base 15) to base 9.\nAnswer: -365528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 PM and 1:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 866951994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 21 - 11. Suppose -9*d + 9674 = -2*d. Let p = d + -1370. Calculate the least common multiple of w and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-3*5*sqrt(76)*1*6)\/(-4*sqrt(40)\/(sqrt(20)\/sqrt(2))*-3).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, 3, -5, 24, 2, 375.\nAnswer: -5, -1, 2, 3, 5, 24, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9416)\/(-440) - -11)\/(6\/10).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 640 (base 10) to base 2\nAnswer: 1010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -841*v - 8035 - 7103 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/3 - (-72)\/1. Let w(p) = -3*p**3 + 2*p**2 + 2*p + 1. Let d be w(-1). Suppose -5*g + 78 = 2*x - 12, x + n = d*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in -2, -4, -4.7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -18 + -12 - (-145 + 168)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.032 + -77.032. Let n = 78 + z. What is the second smallest value in 0, n, -1.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -119880*d**6 + 75*d**5 - 4733549*d**2 wrt d?\nAnswer: -14385600*d**3 + 4500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**2 - 9*v**2 + 2*v**2 + 4*v**2 + 8*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -10*h - 6. Let t be d(-3). Suppose 2*w + 4*w = t. Solve w*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 0*r = -136. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (394\/60*2 - (-2)\/(-15))*(-1755)\/10530.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 8338*w**2. Let f(a) = 10*a. Determine f(p(i)).\nAnswer: 83380*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 7322 (base 14) to base 16\nAnswer: 4d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 120446 and 8?\nAnswer: 481784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 192 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 22 + (-11000)\/290 + 16\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -922523*h - 92. Let d be b(-4). Round d to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 287*x = 242*x + 225. Let g(d) be the second derivative of -4\/15*d**3 - 1\/25*d**x - 1\/5*d**2 - 3*d - 1\/6*d**4 + 0. Find q, given that g(q) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w = 45\/7 + -170\/21. Let t(z) = z + 4. Let i be t(-5). Is w equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + m = 5*q + 18, 668*q - 667*q - 14 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pf when two letters picked without replacement from iippipfifp?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/3)\/((-4)\/24). Let r = 68875\/3091 + -156\/281. Let a = r - 22. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.19 - -1.81. What is the second smallest value in c, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 33\/21 + (-8)\/14 - 10. Let s(m) = 1. Let w(h) = -h - 15. Let l(p) = 3*s(p) + w(p). Calculate l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-28 + 28 + 22*d)*(-6 + d + 6) + d + 4*d**2 - d**2 - d**2 in the form v*d + j + h*d**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 9 and 1005055.\nAnswer: 1005064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1067, -1523, -1979, -2435, -2891, -3347?\n\"Answer: -456*a - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 95, 213, 383, 611, 903, 1265?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {b: 7, e: 1, x: 4, r: 4, u: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78358 is divided by 1188?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4*g + 33, 4*r - 5*g + 2 = -28. Let o = 6 - 5.93. Which is the closest to o? (a) 5 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of -d**8\/420 + d**7\/210 + d**3\/6 - 12*d. Let r(g) be the second derivative of m(g). Let r(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 3*x = 4707, 2978 = -3*d - x + 7665. What are the prime factors of d?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m, 1 t, and 1 y when four letters picked without replacement from {t: 4, x: 1, y: 1, n: 8, m: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = -4*z + 4*x, -5*z - 5*x = -117 + 7. Suppose t = 7*w - 3*w + z, -2*t - 4*w = 6. Is t > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in s**3\/5 - 46*s**2\/5 + 96*s + 1152\/5 = 0?\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -41 divided by -177.\nAnswer: 41\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/9 and 16\/40 - (-11)\/(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72857 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 - 17*a**2 + 15*a + 21. Let k be i(16). Suppose 3*h - 2 = k*h. Let l(d) = d - 1. Let j(t) = -4 + t + 0 + 1 + 2. What is h*l(z) + 2*j(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-5)*4)\/((-1302)\/(-3255)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -18877, -17908, -16937, -15964, -14989?\n\"Answer: f**2 + 966*f - 19844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Differentiate -725900*t**2 - 1642138 wrt t.\nAnswer: -1451800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 224 = -61*r + 77*r. Calculate the smallest common multiple of r and 626.\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9246745 = 70*x + 105*x + 1676420. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (2 + sqrt(320) + sqrt(30)\/sqrt(24))**2.\nAnswer: 34*sqrt(5) + 1441\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -4.349086 to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 139, 1281, 4377, 10405, 20343, 35169, 55861, 83397?\n\"Answer: 163*g**3 - g**2 + 4*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 12:58 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3914 a factor of 160501398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3119?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*i - 23 - 11 - 28. Solve -2*u + i*q + 2 = 0, -2*u + 233*q = 237*q - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 99864 and 2190.\nAnswer: 499320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7b + -3b?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 20796?\nAnswer: 1\/5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2589689 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1670, -3303, -4936, -6569?\nAnswer: -8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*x + 9*x + 30*x)*(-3*x + 3*x - 2*x**2) - x**3 - 4*x**2 + x**2 + 6*x**3 to the form y + h*x**3 + d*x + p*x**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 348 a factor of 2885616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*w - 72 = 3*g + 7*w - 58, 0*w + 10 = w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -22*j**2 - 16*j. Let t(q) = -7*q**2 - 2*q**2 + 3*q + 2*q**2 - 8*q. Determine 5*r(p) - 16*t(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x + 2. Suppose -2*b = -3*b - 3*w - 17, -4*b - 3*w = 23. Let n be f(b). Suppose -4*v + 3*q - q = -16, -2*q = n. Solve 25 = -r - v*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 845\/7488 - 2\/18. Is 1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -0.08, 357, -93\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 101624?\nAnswer: 508120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(22) - -5*sqrt(88))\/(sqrt(176)*1 - sqrt(176) - sqrt(176)) - (-5 + (-2 + sqrt(98) - sqrt(2)*3*4)))**2.\nAnswer: -91*sqrt(2)\/2 + 561\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 4 = -10*f. Let m(u) = -u**3 + u + 11. Let p = 3 - 3. Let t be m(p). Calculate the highest common divisor of f and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 PM and 10:36 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-16)\/(-28) - 1704\/(-1232) and 37\/154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, g: 1, w: 8, u: 1, r: 2, p: 2}. What is prob of picking 1 r, 1 p, 1 u, and 1 w?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6110833um in centimeters?\nAnswer: 0.00006110833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 5. Let f be (6\/(-4))\/((-9)\/60). Let g = f - s. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 + 79*a**2 - 423*a + 9253. Calculate p(75).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from {j: 2, x: 6, e: 9}.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 - 1. Let t(o) = o**2 - 2*o - 3. Let q(u) = 2*h(u) - t(u). Let z be q(-1). Solve -3*j = 3*a - 3, 3*j - 1 + z = -a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -250819 by 307.\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36349884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -30*i**3 + 2*i**2 - i - 1. Calculate the remainder when 61 is divided by r(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rdrdbdbrrbbb. What is prob of sequence br?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 22*w - 173. Let z be h(8). Let n be (-4)\/6 + (-4)\/(-6). Let u be 1 + (n - 0 - -1). Solve z*q - u = d, -4*q = -8*d + 3*d + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48901897 and 438?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 664 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 12.498 rounded to one dp?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 664030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 - 5*k**2 - 5*k - 1. Let s be f(6). Suppose 0 = g - 1 + s. Let n be (-1)\/(-2) + (-6)\/g. Solve -n*a + 7 = -1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1102 - 14756*v**3 + 3*v**2 + 4*v - 6*v + 14753*v**3 as h + x*v**2 + b*v + m*v**3 and give h.\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -4 + 3 + 0*i + i**2 - 2*i - 2*i**2. Let r be n(-2). Let z be 0*-1*(-1)\/r. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the second derivative of -t**5\/20 + t**4\/3 + t**3 - 3*t**2 + 4*t. Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(2\/13))**7\/(i**(-5))**30 assuming i is positive.\nAnswer: i**(1964\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*z**3\/4 - 1311*z**2 - 27*z\/4 + 1311 = 0. What is z?\nAnswer: -1, 1, 1748\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3598043 and 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6666569001.480000243 + 6666569358.48. Let m = p - 357. Round m to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000070452 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, u: 1}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r - 4*r + 0*r)*(-3 + 77*r**2 - 78*r**2 + 2).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 220 = -2*f. What is the first derivative of -39 - 36 + 12*j**4 - f*j**4 wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmdjmddmdmmmmm. What is prob of sequence mm?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**4 + 3270*u**3 - 22968*u**2 + 32840*u.\nAnswer: 2*u*(u - 5)*(u - 2)*(u + 1642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2*2.13598\nAnswer: -4.27196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 12.2130567 take away 9383.86?\nAnswer: -9371.6469433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 623.9788 weeks?\nAnswer: 377382378.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the third derivative of -4*f**7\/35 + 23*f**6\/100 + 43*f**5\/10 + 13*f**4\/5 + f**2 - f - 58. What is n in o(n) = 0?\nAnswer: -13\/5, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 + -4)*1\/(-4). Let a(g) = -2*g - 16. Let r be a(-6). Sort -1, t, r in descending order.\nAnswer: t, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - ((13 - 0) + 188 + -242)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4.1, -2, -15, -0.2, -0.31 in increasing order.\nAnswer: -15, -2, -0.31, -0.2, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 274 and 27537.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (12172\/10)\/((-58)\/(-145)). Let c = 4361 - o. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2879*y + 83510. What is s(-29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = -5*y + 30, 5*m = y - 0*m + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -440224301?\nAnswer: -440224253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 30 + 22 = 0. Suppose 2 = -4*k - 0*m - 2*m, 2*m - p = 2*k. Which is the nearest to -1? (a) k (b) 3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 44.1899993986 + -44.19. Round s to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -395 divided by -79.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4 - 748*y**3 + 206116*y**2 - 24773760*y + 1096934400.\nAnswer: (y - 230)**2*(y - 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 5 + 10 + 4*f**2 - 6 - 6*f + 2*f**2 + f**3. Let d be w(-7). Solve -d*v - 2 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1701 divided by 567.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 137188760 to the nearest integer?\nAnswer: 11713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-47*a**2 + 127*a**2 - 5 - 59*a**2)*(4 - 4 + 1).\nAnswer: 21*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -2*d - 6. Let b = d + 1. Suppose 4*s = l - 0*l - 8, b*s = -4. What is the highest common factor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**3 - 3*x**5 - 3*x**4 + 9*x**4 - x**2 + x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - 9*h - 1. Suppose 0 = 5*a + w - 11, 3*a - 5 - 6 = -5*w. Suppose 24 = a*z - 5*z. Determine l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - 16c?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 - 29*y**2 - 77*y + 45. Let p be r(-25). Let z = p - -733. Calculate the greatest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 847 divided by 1065.\nAnswer: 847\/1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/6 - (-2)\/(-3). Solve -10*q + 7*q - 6 = g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 12*q. Let u(i) = -1 - 11*i + 12*i + 1. Give c(u(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 119814 - 68566. Let g = -51247.57941 + t. Let y = -0.42 + g. Round y to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -132 + -1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 124 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 12 = 4*r, 24 = -4*d + 5*r. Let y be ((-62)\/56 + 1)\/(d\/(-44)). Let q = 3 - 5. What is the nearest to y in 1\/6, 0.5, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 12\/5 + (-2355873)\/31245\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(-3\/7)\/p)\/p)\/p)**22\/((p\/(p*p**(-2\/69)\/p*p*p))\/(p\/(p**(-1\/10)*p))) assuming p is positive.\nAnswer: p**(-359147\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*z + 2 - 3*z + 4*z)*(3 - 1 - 3) to the form k*z + p and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 20510 and 20511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uou when three letters picked without replacement from {o: 1, z: 2, u: 2, q: 2, r: 1, s: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**2\/3 + 16826408*z\/3 - 35391000772808\/3 = 0 for z.\nAnswer: 4206602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 361812911 + -0.11\nAnswer: 361812910.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 10 = -4*v, 2*z - 8 = -5*v + 2*v. Solve -4 = 2*i - k, -5*i = k + v + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of -p**3\/3 - 7*p**2\/2 - 9*p - 1. Let f be b(-7). Let y = f - -11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0970129 meters to millimeters.\nAnswer: 97.0129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -a + 1644, 4 = l - 0*l. Let u = a + -1121. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 370 and 13230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2910838\/16709 - 4\/7. Is 173 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 115770 divided by -23154\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 3*z - 9. Let i = 5 - z. What is the lowest common multiple of 5 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 50.2 + 0.8. Let i = -50.99922 + l. Round i to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 643.6 - 668. Let w = -24 - m. Which is the third smallest value? (a) -2 (b) 1 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -382073 - 776*b + 382073 - 7*b**2 + 10*b**2 + 776*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2201687*1.\nAnswer: -2201687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11330, -22827, -34290, -45701, -57042, -68295, -79442, -90465?\nAnswer: -101346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(684))**2 + (((sqrt(190) + sqrt(190)*5)\/sqrt(10))**2 - sqrt(19)) - (4 + 3*sqrt(684) + sqrt(684))**2*4) + 4.\nAnswer: -42467 - 757*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 227269 divided by 4?\nAnswer: 227269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**2 + 6*z - 2. Let c be f(5). Let k(g) = g**3 + 0 + c + 5*g + 4*g**2 + 0*g**3. Let s = -4 + 1. Give k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -296609, -296607, -296605, -296603?\nAnswer: -296601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.1143131 litres?\nAnswer: 114.3131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*m**3 + 12*m**3 + 1132 - 1132.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 0.8889406 weeks?\nAnswer: 149.3420208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a. Let p(f) = -6*f**2. Calculate p(m(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of 3*m**4\/8 + 13*m**3\/6 + m**2. Let v = 20 + -9. Let x(l) = -5*l - 7. Give v*x(a) + 6*c(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/(-160))\/(-2*7\/(-56)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -274.1, 5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 395*v + 117. Let r(p) = -53*p - 221*p - 59 + 75*p. Let w(f) = -6*b(f) - 11*r(f). What is the derivative of w(i) wrt i?\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times 23.9\nAnswer: -95.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 163.7612 - 7004.\nAnswer: -6840.2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 504 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.373572784 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(209)\/(sqrt(176)*5) + -2*(sqrt(19) + sqrt(19) + 5 + -2)*5)**2.\nAnswer: 1197*sqrt(19) + 3384819\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i - 260. Let m(t) = 6*t. Calculate m(z(x)).\nAnswer: 12*x - 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 + 15*o + 20. Let q be h(-15). Calculate the greatest common factor of 210 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 308148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of 0*s**5 - 75*s + 0 + 11\/5*s**6 + 11*s**3 + 0*s**4 + 0*s**2. Find the second derivative of u(y) wrt y.\nAnswer: 792*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the second derivative of -t**3 + t**2 + t. Let s(n) be the third derivative of n**4\/12 - 3*n**2 - 417*n. Determine s(w(k)).\nAnswer: -12*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 236161015 = 212*l + 25310691. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0*36\/(-108)*(-3)\/2. Solve -y + 3*y = -4*d + 8, -2*d - 2*y + 6 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*a**2 + 8*a**2 - 25*a**2 + 5*a**2 + 0*a**3 + 2*a**3 + 3*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 - 1 + 4)*(2 - 3 + 0) - 2 - 2 + 5 + (4 + 1 - 4)*(-4 + 4 + 4))*(3*j - 5*j + 7*j) to w*j + c and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -5*k. Let q(n) = -3*n. Let b(i) = -4*p(i) + 7*q(i). Let o(a) = 28*a + 5. Let h(g) = -29*g - 6. Let f(v) = -5*h(v) - 6*o(v). Give f(b(j)).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-2) + (-16)\/256*-34 + -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 4) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -17.5623 (b) 1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1956 and 102.\nAnswer: 33252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3760738868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 132286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 23*(-33)\/(-44) + -17. Let i = -0.2 + 0.2. Which is the second smallest value? (a) i (b) -0.24 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-12)\/20)\/(1\/(-15)). Solve 5*b = -5*v + 15, -2*v + 7*v = 3*b - k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 770386*c**2*x**2 - 110*c**2*x - 18*c*x**2 - c*x + 2*x**2 - x + 1031802 wrt c.\nAnswer: 1540772*x**2 - 220*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 11:26 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 61907 = 7*h, 2*j - 61857 = 6*h - 3*h. List the prime factors of j.\nAnswer: 2, 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 3*b + 20. Let u be 5*11\/(165\/18). Let i be d(u). Does 0.2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 368407 and 68?\nAnswer: 1473628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2154853 is divided by 1376?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37027 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 18992, 38024, 57076, 76148, 95240, 114352?\n\"Answer: 10*i**2 + 19002*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + r + r - 2, -2*g - 5*r = 1. Let h be -1*(1 - (-1 + 2)). Suppose h = -l + 2*l - g. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 27\/15 - (2 + (-11)\/5). Suppose -i*t - 5*z + 49 = 0, 0 = 3*t - 6*t - z + 67. Suppose 2*r + 7*s - 38 = 3*s, s + t = 3*r. Solve 21 - r = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**2\/3 - 56*w\/3 - 784\/3.\nAnswer: -(w + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -588588 by -1911.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.41 + -0.01. What is the nearest to 2 in 1\/5, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 12*w - 10*w - 17 = -18*w, 4*k - 3*w - 42 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 3 - 1) + (-5 - -8) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 o, and 2 a when four letters picked without replacement from qtaaqotu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 106234 (base 8) to base 2.\nAnswer: 1000110010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22 + 22. Sort o, 0.4, 33, -2\/9 in decreasing order.\nAnswer: 33, 0.4, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (125 - 61 - p**2 - 54 - 34*p)*(5 - 5 - 5*p) as w*p**3 + l*p**2 + q + h*p and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -2, -11, -1\/4, 1\/2, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3305 (base 10) to base 5\nAnswer: 101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -5*z**2 - 19 + 5*z + 15 + z**3 - 4*z. Let w be d(5). Which is greater: w or -3\/14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 12:52 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 8*c + 14. Suppose 5*s - 10 + 0 = 0. Suppose -s*x - 5 = 5. Let m = -15 + 1. Let w(t) = -3*t - 5. What is m*w(y) + x*v(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 34 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3425680 divided by -40.\nAnswer: -85642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the second derivative of 1\/168*x**7 + 7\/120*x**6 + 13\/48*x**4 + 3\/16*x**5 + 1\/6*x**3 + 3*x + 0*x**2 - 4. Determine u, given that s(u) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -4. Suppose -4*a = 3*z - i, 0*z + 1 = -z + a. Let y be (-1 + 2)*(-2)\/(-2). Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 109991916, 219983830, 329975744, 439967658?\n\"Answer: 109991914*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 - 28*c - 2. Let o(k) = 6*k**2 - 84*k - 7. Let g(w) = 2*o(w) - 7*x(w). Factor g(s).\nAnswer: -2*s*(s - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -3169, -3193, -3237, -3307, -3409, -3549, -3733?\n\"Answer: -o**3 - 4*o**2 - 5*o - 3159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2575*t - 2584*t + 828 = 0 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = 6*v - 75, 97*v = 97*v + 2*z + 2 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is bdc - 2?\nAnswer: bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -v**4 + 3*v**3 + 168947*v**2 - 36645427 wrt v.\nAnswer: -4*v**3 + 9*v**2 + 337894*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(1\/4))**(12\/7)*(d**(-4))**49)**(2\/5) assuming d is positive.\nAnswer: d**(-2738\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 - 64 = -5*f. Let p(o) be the first derivative of -3*o**2\/2 + 34*o + 586. Let g be p(f). Solve 3*m + g = -2*m + 3*a, -2*m - 5*a = 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -35301*l**2 + 69032*l**2 - 1424*l - 35026*l**2 wrt l?\nAnswer: -2590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (49*p**2 - 22*p**2 + 19*p**2)*(22 - 13 - 5)*(2*p + 0*p - 3*p).\nAnswer: -184*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -2*h + 2. Calculate k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the second derivative of d**4\/36 - 2*d**3\/9 - 3*d. Determine b so that o(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-18)*(-34 - -25). Is -1\/184 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 11, -5, -7, 43, -14, 1.\nAnswer: -14, -7, -5, 1, 4, 11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/13 in 1\/4, 15, 363, -2\/7, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -104\/157905 and -40\/73689.\nAnswer: 1105335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 5*g = -5*g + 10576. Is -2644 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.9 + 17.9. Let g = y + -10. Let u = -0.04 - -2.04. Put g, u, 0.2 in decreasing order.\nAnswer: g, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -2*c**4\/3 - 8*c**3 - 26*c**2\/3 + 44*c - 80\/3 = 0.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 7:06 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*n + 18 = 17*n - 29*n. Suppose -3*o - 2 = -o. Sort o, 2, n, 4 in ascending order.\nAnswer: o, 2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1171\/17 + -69. Let q = 35\/179 - 207776\/1611. Let j = 129 + q. Which is the biggest value? (a) v (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-9145)\/(-10) + 95\/(-38) is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 4*p + 113, 4*h + 5*p - 4*p = 142. Solve -37*f = -h*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 + 14 + 6 - 3*f**2 - 7 - 15*f + f**3. Is r(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 117129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -70595 by -5.\nAnswer: 14119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2211*j**2 + 2*j - 31. Let g(a) = -a**2. Give s(g(l)).\nAnswer: 2211*l**4 - 2*l**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -3*y + 63. Let f(q) = -11*q + 252. Let l(i) = -2*f(i) + 9*j(i). Let r be l(12). Solve 4*h = -r + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = f + 181. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -104\/9, 2, -0.39, 0?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {g: 3, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24 and 2164?\nAnswer: 12984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 14 - 46 = 0. Suppose -6*m + 2*m + 104 = 0. What is the least common multiple of m and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 24366663 (base 8) to base 9\nAnswer: 11083222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oboo when four letters picked without replacement from booobo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 3*t, 4*s - 5*t + 249 = 260 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 23*j**3 + 7*j**2 + 17*j - 17. Let a(f) = -11*f**3 - 3*f**2 - 7*f + 8. Let b(t) = 7*a(t) + 3*n(t). Find the second derivative of b(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.04 - -810233771508\nAnswer: 810233771508.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 332190 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**2 + 6*j - 8. Let u be d(0). Let o be 35\/5 + u + 4. Solve 0 = -2*b + 4*y - 16, -o*b - 3*y + 12 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -248438526151?\nAnswer: -248438526146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 - 11*c - 17. Let i be m(-9). Suppose 10 + 36 = 2*h. Let y = h - 45\/2. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of m**6\/60 + 11*m**5\/60 - 7*m**4\/24 - 242*m**2. Let j be u(-6). Let g = 4 - 2. Solve g*i = j - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of m**6\/180 - m**5\/15 + m**4\/3 + 23*m**3\/6 + 7*m**2. Let z(h) be the first derivative of w(h). Factor z(t).\nAnswer: 2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 45\/30 + 4203\/6 + 1. Let n = l + 40. List the prime factors of n.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001811174201 to 6 dps.\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 1 = -2*t - 5*n, -2*t + 5*n - 2 = 0. Let m be -2 - (-7 + (-2)\/t). Suppose -2 + 45 = 5*k - 2*g, 4*k + m*g - 39 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - -1. Let u = 68 + -26. Suppose l - u = -4*b. Calculate the lowest common multiple of b and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8\/17 - -90\/119. Sort 0, n, 1\/5 in increasing order.\nAnswer: 0, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -341*f**4*k**3 + 209*f**4*k + 3303506*f*k**3 wrt f?\nAnswer: -4092*f**2*k**3 + 2508*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 11706962*m. Let a(w) = -w. Determine h(a(b)).\nAnswer: -11706962*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**4 - 27*w**3 - 21*w**2 + 135*w - 84.\nAnswer: -3*(w - 1)**2*(w + 4)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 84\/(-28)*2\/(-48)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 3*q - 64, 5*q - 6*h - 95 = -2*h. Suppose -3*t + q = -256. Let s = t - 56. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/3 + 4832*y\/3 - 1610.\nAnswer: -2*(y - 2415)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 126074 or 126023?\nAnswer: 126023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the third derivative of v**5\/90 - 5*v**4\/36 + 147*v**2. Solve s(u) = 0 for u.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {b: 7, m: 3, y: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 4*y = -4*u + 4, 0 = 5*u - 4*y - 16. Suppose 0*m + m - 2 = u. Calculate the least common multiple of m and (-210)\/(-27) - (-2)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 o, and 2 z when four letters picked without replacement from iicozloziuui.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/(-3))\/((-3)\/(-54)). Let h be (9\/m)\/(-3)*0. Suppose h = -2*v - 2*t + 432, 6*t - 3*t = -v + 214. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {e: 2, f: 2, n: 1, h: 1, x: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of -j**5\/60 - j**4\/8 + j**3\/3 - 25*j**2. Let i be a(-2). Let r(m) = -7 - i*m - 4*m + 9*m. Determine r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express t - t**3 + 2*t**4 + 2*t**2 - t as m*t**4 + q*t**2 + h + k*t + x*t**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 350 = -100. Let y be (1 + -3)\/((-3)\/d). What is y rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3270142*z**5 + 17*z**4 - 361062*z**2 + 137*z + 2 wrt z?\nAnswer: -196208520*z**2 + 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 4 = 5*i - 13, i = -4*z - 5. Factor 1\/6 + 0*m**2 + 1\/3*m**i - 1\/3*m - 1\/6*m**4.\nAnswer: -(m - 1)**3*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -182 + 182 + 9*p**3 + ((-3*p + 4*p + p)*(3*p - 3*p - 2*p**2) - 4*p**3 + 6*p**3 - 3*p**3 + 5*p**3 - 5*p**3 + p**3)*(-5 + 2 + 1 + (1 + 0 + 1)*(5 - 1 + 1)).\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (515*w + 6 - 1063*w + 509*w)*(3 + 1 - 6) to z*w + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add -0.11583 and 5.\nAnswer: 4.88417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 62315 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101905053?\nAnswer: 3, 33968351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6985 + 6998. Solve -5*t - u = -33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -423 + 428. Which is the closest to 0.3? (a) u (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2 (c) -2098\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m + 2. Let z(y) = 3*y + 3. Let j(b) = 6*v(b) - 5*z(b). Let o be j(-4). Solve 5*w + o = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.0123 + 240.9877. Let u = -235 + s. What is the second biggest value in 4, -0.4, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/((-24)\/16 - 5\/(-2)). Suppose -96*v + 99*v - 105 = 0. Calculate the greatest common divisor of z and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -2 + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c + 3. Let n be z(-1). Suppose -h + 5*l + 970 = 0, n*l = -5*h + 6*l + 4934. What is h rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87*g**2 + 218*g**2 + 778*g**2 + 210*g**2 + 1066*g**2.\nAnswer: 2185*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 - 45*r + 405. Let q be w(12). Calculate the highest common divisor of 1719 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 5*l = -2818, -5*g - 6*l + 8*l + 14252 = 0. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 3 - 3. Suppose -z = -1 + y. Let t be (z\/3)\/((-8)\/108). What is the highest common factor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 138436372339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -130?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 213920338?\nAnswer: 2, 106960169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 6 + -19 + (-9 - 11) + 11\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j**3 - 42*j - 45*j + 87*j - 80*j**2 + j**3.\nAnswer: -3*j**3 - 80*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -406 in -0.5, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.24 in 3\/7, -4, -6\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -3*b + 2*b + 140, 3*l - 538 = -4*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*w**2 - 2*w**2 + 3*w - 3*w**2 - 3*w**4 - 21 + 20 + 3*w**2 in the form p*w + m*w**3 + u + x*w**4 + t*w**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes after 1:15 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 9.929624ml in litres?\nAnswer: 0.009929624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*o - 2*g, 4*g = -2*o + 5*o + 1. Suppose -u = j - 1 - o, -8 = -2*u. Let b(y) = 0*y - 9 + 3 - j*y. Calculate b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2\/4 - 132643*b - 530571\/4.\nAnswer: -(b + 1)*(b + 530571)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 15*o + 4. Suppose 3*i = -5*p + 339, o = -3*p + 2*i + i + 189. What is the highest common divisor of p and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -22*z - 44. What is the tens digit of b(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 17. Let s = -16 - t. Suppose -3*l = 2*z - 45, -4*z - l + 2 + 63 = s. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*v + 25*v + 11 = 0. Is -6\/173 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 - 24*x - 28. Determine o(28).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 345804 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dddddtdddttddddddtt. What is prob of sequence tdtt?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25056, 25054, 25052, 25050?\nAnswer: 25048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -1161.8.\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(8\/5)\/(j\/(j\/j**(-1\/13))))\/(j**17\/j**(-1\/4)))**(-3\/5) assuming j is positive.\nAnswer: j**(12147\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be 150766\/330 + 4\/30. Do i and 457 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n - 4 + 4)*(-1763 + 2855*n + 1763).\nAnswer: -5710*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-5)\/4*588\/(-21). What is the second derivative of -2*t**2 - 3*t**2 - 31*t**5 + 67*t**5 - s*t**5 + 25*t wrt t?\nAnswer: 20*t**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/2172 and -97\/606.\nAnswer: 219372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 0*l = -4*l + 46, -5*l = 3*m + 25. Calculate the remainder when (-2 - 65\/m)*18 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 108 = 43. Solve p*u - 20 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -5*c**4\/12 - c**3\/6 + 3*c**2. Let s(r) = 3*r. Let m(n) = 2*n**2 - 5*n + 4. Let p be m(3). Determine p*s(t) + 2*i(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8*l**4 + 279*l - 210 wrt l?\nAnswer: -32*l**3 + 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -17. Suppose 5*n - 25 = 4*g, -4*n - 5*g = -7 - 13. Suppose 41 + 16 = 19*o. Solve n*z = -c - 23, -o*z = 5*c - s*z + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 65*q**2 + 323*q + 19. Give s(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1868 - -10170357348.2?\nAnswer: 10170357348.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 498374 is divided by 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75424.\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0096135 centimeters in meters?\nAnswer: 0.000096135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.5308 - 1026.4308. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (2 - -59)*2\/8*24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v - 7. Let s be ((-10)\/6)\/((-11)\/33). Suppose 3*l + 10 = -s. Calculate f(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -18 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 58 and 379958?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d - 10. Let k be 1*(0 + -2)*(-4)\/(-1). Let q be k\/(16\/14)*-1. Give w(q).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -707.007 - -706. What is o rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1095472 by 28.\nAnswer: -39124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3.3 (b) -1 (c) 12 (d) -5 (e) -0.009\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (648\/(-64) + 10)\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2519713*u**3 - 48*u + 542434960?\nAnswer: -7559139*u**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(208)*1)**2 - sqrt(143)\/sqrt(176)*-6.\nAnswer: -45*sqrt(13)\/2 + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -110021221202 - 32?\nAnswer: -110021221300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3*(-4)\/32 + (-142)\/88 and -31\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-21)\/35 - 54918\/(-5). Let s = -41983 + m. Round s to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, f: 1, p: 2, l: 1, a: 1}. What is prob of picking 1 l and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 5*l = -3 - 3 + 19, -10*w + 18 = -4*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the second derivative of 31*g**3\/6 + 66*g. Let c(n) be the first derivative of -5*n**3\/3 + 19. Give x(c(u)).\nAnswer: -155*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 + 9*j**2 + 4*j - 4. Let c be 9 + 0*(-4)\/(-8). Is g(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of -a**8\/3360 - a**7\/1260 + a**6\/240 - 89*a**4\/12 - 24*a - 1. Let i(f) be the third derivative of d(f). Give i(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 4*w = 2294, -6151 - 745 = -3*d + 5*w. What are the prime factors of d?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -15633 and 488 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.61 - 6.453842. Round n to three decimal places.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ne when two letters picked without replacement from nnneennneneenfnenene?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 85*w + 1363*w - 47*w + 451*w.\nAnswer: 1852*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - -1) + (4 + -14 - 17 - -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*f - 146 = -36*f + 134 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 6*o**2 + 9*o + 5. Let h be m(-3). Suppose 2*a = 4, 5583 = h*u + a - 2*a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 23 - 5 = 138*f - 149*f, -3*f = -d - 5*f + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0.1, 10.2, 3, -1720?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -16. Let l(g) = -g**2 + 7*g + 16. Let x = -27 - -35. Let p be l(x). Which is the nearest to p? (a) -1 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2294 is divided by 159.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 98 and 9310?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 62, 131, 206, 287, 374?\n\"Answer: 3*n**2 + 60*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of 19*z**4\/12 - 9*z**3\/2 - 73*z**2\/2 + 234*z. What are the prime factors of y(-7)?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 203 = -9*o - 238, -7 = -u + o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1431 - 1430. Are p and 59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2\/17, -62\/19 in decreasing order.\nAnswer: 1, -2\/17, -62\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 359013 in ascending order.\nAnswer: -2, 4, 359013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (345*b - 1577*b - 14817*b + 2)*(-2*b - 1 + 1) to the form h + l*b**2 + w*b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 PM and 2:15 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -5*c - s, 5*c - 85*s + 94*s - 86 = 0. Let d(h) be the second derivative of h**5\/20 + h**2\/2 + h. Give d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1600717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3890202 is divided by 555699?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 4) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-8)*(-6154 - -6786).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7015 divided by 23?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k**5\/10 + 68*k**4\/5 - 2541*k**3\/10 - 13977*k**2 - 606528*k\/5 - 944784\/5 = 0. What is k?\nAnswer: -12, -2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -60 - 25.12321\nAnswer: -85.12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 93 and 155.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 82002 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 305700, 1222733, 2751112, 4890831, 7641884, 11004265?\nAnswer: 14977968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 1 = -2*q, l + 4*q + 8 = 5*l. Suppose 3*b - 5*t + 8 = 0, -4*b - 4 - 1 = -t. Sort b, 5, l in increasing order.\nAnswer: l, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 913086 is divided by 179.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 2 + 1)*(3*a**2 - 2*a**2 + 0*a**2) - 2*a**2 + 4*a**2 + 0*a**2 - 2*a**2 - 52 - 64 - 8*a + 107 to the form v*a**2 + f + m*a and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 AM and 11:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2\/15, -1, -263, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 PM and 12:51 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * -108.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (1 - -88) + (-55 - (-30 - 19)) + -3.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -64, -0.2, 1\/3, -2, -1?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/5? (a) 7.2 (b) -4 (c) 0.4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -63213054*t**3 + 89052538*t**2 wrt t.\nAnswer: -379278324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 62485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 1 = 4*w, 3*g - 1220 = 5*w. Let k = g + -392. Calculate the remainder when 268 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**2*k**3 - 20256*g**2*k**2 - g**2*k - 556*g*k**5 wrt k?\nAnswer: -12*g**2 - 33360*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.59 and 0.6.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 1.9996. What is s rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -109 (b) -1 (c) -0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.7 * 8540.\nAnswer: 5978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -0*n - 6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.08519 - 0.034614. Round c to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - 1) + -9 + 9 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -67334, 2, 120 in decreasing order.\nAnswer: 120, 2, -67334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 505*i - 256 + 313 = -173*i - 621 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/15)*p**(-1\/5))\/(p**(-2\/5))**(4\/5) assuming p is positive.\nAnswer: p**(19\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128173?\nAnswer: 128173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 92209836 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: What is -7009988.1 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 10*j - 1. Let o be n(-9). Suppose t = -0*t + 4. Suppose -z - 2*b = -b - 8, z - t*b = o. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*u + c - 122 = 0, -183*c + 6 = 2*u - 187*c for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 3*p + 72 = 0, 3*p = -9*g - 392 + 188 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 2*g + 140*m - 144*m - 2 = 0, 0 = 15*m + 75 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*(30\/90)\/((-32)\/12))\/((-36)\/264).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 53*k**3 - k**2. Suppose -2*s - 3*s = -4*y + 24, 2*y = -3*s + 12. Let o = -5 + y. What is the remainder when c(o) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6*3\/42)\/(9\/(-63)). Let i(c) be the second derivative of -c**4\/12 + c**2 + 4*c. Calculate i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 16308 (b) -3 (c) -0.07 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 133667 and 281505.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4801*t**2*u*w**3 + 31725*t**2*u*w + 2*t**2*w + 3*t*w**3 + 6929370*w with respect to u.\nAnswer: 4801*t**2*w**3 + 31725*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 3\/2, -2, 20\/243, 6, 3, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -603990*t**3 - 1485*t - 1485. Let q(s) = 1628*s**3 + 4*s + 4. Give 4*d(r) + 1485*q(r).\nAnswer: 1620*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 16) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*o**2*q**2 + 539*o**2*q - 16*o*q**2 + 16105*q**2 - 10183*q + 2 wrt q?\nAnswer: 4*o**2 - 32*o + 32210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 17\/7 of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 97 + -94. Suppose -1043 = -w*r + d, -r = d - 43 - 298. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -13.238 (b) 0.5 (c) 2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from qjmtqej?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -11*v**3 - 6*v**2 - 84*v + 268. What are the prime factors of h(-9)?\nAnswer: 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0373909*44.\nAnswer: 1.6451996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/18*(-8048)\/(-4). Let d = 103 + -215. Let k = d - m. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14760 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10 + 66)\/4 - ((-590)\/(-55) - -2). Find l, given that -5\/11*l + m - 1\/11*l**2 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -37\/235 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.6 + 1.1. Let n = -1.75 - -1.95. Let a = 789\/7 + -113. What is the nearest to 4 in c, a, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) 66 (c) 3 (d) 0.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 - f + 15. Suppose 47 + 25 = 2*g. Let y = -36 + g. What is s(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 5. Let m = 6 + -11. Which is the second biggest value? (a) r (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 12) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 42 = 5*y, -2*n + 10 = y - 11. Let a(q) = -3*q - 9. Let w be a(n). Let l be (-10)\/(-6) + 24\/w. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33\/37 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbjrrbr. What is prob of sequence bbbj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**4)**(-5\/12)\/(c**(-4\/11)*c**(4\/5)) assuming c is positive.\nAnswer: c**(179\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 531961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of q**3\/3 + 4*q**2 - 14*q - 4. What is the smallest common multiple of o(-10) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.13 - 0.23. Which is the closest to r? (a) -5 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0190557 minus -3?\nAnswer: 3.0190557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 97 - 96 - (0 - (1 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9148 - 134.\nAnswer: -9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -97, -147, -213, -301, -417?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 28827691 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 66 = -10*z, 58*l - 13*l = 5*z + 24*l + 18*l - 51 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(66)\/((-2*sqrt(72))\/sqrt(12)))**2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qehgehzzeggzzhkee. Give prob of picking 1 e, 1 k, and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35 + -20. Let b = 21 - c. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of q**3\/6 + 3*q**2 - 7*q. Let s(v) = v**2 + 7*v - 7. Let a = -12 + 5. Let i be s(a). Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 2*a**2 - 17*a + 79. Let f be i(9). Sort 4, 0, -6, -4, f in decreasing order.\nAnswer: f, 4, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c + 6. Let w be g(-4). Solve z = -w*q + 6, 0 = -4*z - 6 - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 236793 bigger than 710380\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*i - 4*i - 2*i - 1 + 1 - 3*i + (2 - 3 + 0)*(2*i + 4*i - 4*i) + 2*i + 3*i - 7*i to a + f*i and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 73\/3579?\nAnswer: 73\/3579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - -4. Let d = -19 + 18. Sort d, -8, c in decreasing order.\nAnswer: c, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -6 - (-1 + 1 + -2). Let h be -1 + 2*(-2)\/m. Let x(g) = g**2 - g + 39. Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 9) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (3 + -1)) + -16 + (-13 - -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 22*s - 14. Let n be b(6). Suppose 0 = 4*q - 3*q - n. What are the prime factors of q\/6 - 4\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*k**5 + 0*k + 0*k**4 + 0 - 1\/3*k**3 + 0*k**2.\nAnswer: k**3*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6509 = 3*b - 4*t - 28119, -2*b + 23084 = -4*t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((15\/10)\/3)\/(-1). Is k not equal to 15\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - 5*o - 29 = 9*s, s = 4*o + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -5*g - s, g - s + 2 = -2*s. Factor 0 + 1\/2*n**2 + 1\/2*n**4 + n**3 + g*n.\nAnswer: n**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*u + 5*u - 7*u to b*u + y and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 8*z - 13*z + 55, 26 = 2*b + 3*z. What is the smallest value in 1\/7, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-25))\/(((-5)\/1)\/(-25)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -21) + (-26 - -37) + 20 + -20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-35)\/28)\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -26 - -63. Let r = t - 25. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -823*m = -859*m + 180. Solve 10 = m*w - 3*f, 2*w + 2 = 3*w - 4*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -7*w**4 - 2*w - 13. Suppose 0 = -3*z - 8 + 2. Let j(a) = 15*a**4 + 5*a + 27. Let u(t) = z*j(t) - 5*k(t). Find the first derivative of u(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 310066170?\nAnswer: 620132340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3944 and 8874.\nAnswer: 35496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 26.06823 centuries to months.\nAnswer: 31281.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 346291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -357*p - 62. Let k(d) = 358*d + 46. Determine 4*k(n) + 3*r(n).\nAnswer: 361*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 12 + 3 = 5*a, 4*q = -4*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 57 = 5*a - 103, 0 = -2*w + 8. Let x = a - 25. Solve -x*i - 10 = -7*i - 2*k, -7 = 2*i - 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (7 - 3)\/((128\/(-3912))\/(-4)). What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k. Let m = -72 - -136. Let t(v) = 44*v**2 - 5*v**2 + m*v**2 - 9*v**2. What is l(t(d))?\nAnswer: 94*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 12*o**2 + o + 33. Let n be t(-6). Suppose 0 = -5*a - 4*m + 407 + n, 2*a - 3*m - 351 = 0. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50.66104 litres in millilitres?\nAnswer: 50661.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7978093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20584022\/9 + 2298585. Factor 117649\/9*c**5 + x*c**4 + 0 - 4606\/3*c**3 - 8\/9*c + 580\/9*c**2.\nAnswer: c*(c + 1)*(49*c - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -6*l + 4. What is p(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -63.026 - -0.026. Let z = x + 62.8. Let u = z - -0.2. Is -34 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -937*r = 5*i - 932*r, -2*r = -4*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1459465 is divided by 25163?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**3 - 4*w**2 + w - 4. Let k be p(3). Let g = -1125 + 1244. What is the greatest common divisor of g and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -14446 and 54.\nAnswer: -14392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:02 AM and 11:15 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2\/3 + 666980*c\/3 - 110773792\/3.\nAnswer: 2*(c - 166)*(c + 333656)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -16c797 + -8b?\nAnswer: -16c822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 925 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 19521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -42 + 47. Suppose 4*b - 3*y - j = 0, -4*y + 45 = 4*b + y. Suppose b*z + 4*p - 582 = -0*z, p = -4*z + 459. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the third derivative of -1\/540*g**6 + 2\/135*g**5 + 0*g - 5\/108*g**4 + 2\/27*g**3 + 0 + 5*g**2. Factor f(x).\nAnswer: -2*(x - 2)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**2 + v - 18. Let w = -6 - -10. Let s be r(w). Factor -1\/2*o**3 + 0 + o**s + 0*o.\nAnswer: -o**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33200*o**3*x**3 + 2317*o**3*x**2 + 1781533*o**2*x**3 - 6*o*x**3 wrt o?\nAnswer: 199200*x**3 + 13902*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-3) - 15781\/129. Let m = y + 143. Solve 4*c = m, 3*z - 37 + 11 = -4*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -1f9?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s + 0*s - 2*s + (s + 2*s - 5*s)*(0 - 1 - 1) + 2 + 2*s - 2 - s - 4*s + 3*s + 2*s + 0*s - s)*(1 - 5 + 0)*(-8 + 20 + 4).\nAnswer: -192*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62262*b + 120701*b + 2*b**2 - 58439*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*k + 75 = 663. Solve v + 3 = g, -k*v + 23 = 30*g - 27*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3460826?\nAnswer: 2, 17, 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 315*q**4 - 4*q**2 + 4*q + 579. Let k(r) = 947*r**4 - 13*r**2 + 13*r + 1734. Let i(m) = 4*k(m) - 13*t(m). What is the first derivative of i(j) wrt j?\nAnswer: -1228*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7\/3 in 4, -0.1, 2\/11, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.1 (c) -2513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 13 - w + 18 - 31. Let v(j) = 25*j**2 - 2*j. What is i(v(k))?\nAnswer: -25*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 6*g**2 + 6*g - 16. Let k(n) = 2*n**2 + 2*n - 5. Let h(p) = 16*k(p) - 5*q(p). Factor h(x).\nAnswer: 2*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 15, l: 4}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 527 + 240?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -8 (b) 1 (c) -80 (d) -2\/159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 12:30 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*k = -11*k + 4*k. Suppose 4*g - 5*g + 105 = k. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**5 + 1872*i**4 + 293895*i**3 + 580326*i**2.\nAnswer: 3*i**2*(i + 2)*(i + 311)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 3*o**3\/5 - 15*o**2 - 12*o\/5 + 60 = 0.\nAnswer: -2, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 168773840 to the nearest integer?\nAnswer: 12991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -4*i + 474930. Let q = 127584 - 442514. Let s = i + q. What is s rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**3 + 18*l**2 - l - 18. Let b be s(-18). List the prime factors of b + 2 + 1 - -100.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (96 - 19 + 53)*(2*x**2 + 1 - 1) + 0*x**2 - 1 + 2*x + 2*x**2 + 2 - x**2 + 0*x**2 + 0*x**2.\nAnswer: 261*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00013839937 rounded to seven dps?\nAnswer: -0.0001384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 109*z**3 - 2*z**2 + 1. Give v(-1).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 0, 4, 21 in decreasing order.\nAnswer: 21, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -2294 by -376.\nAnswer: 1147\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7469*g - 7455*g - 3934 = 0. What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 865, 853, 841, 829, 817, 805?\n\"Answer: -12*f + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*x - 24*x + 371 = -786 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-84)*-7)\/(3\/81).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 90413734 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-172)\/1505)\/(2\/15)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find c such that c**4\/2 - 23*c**3\/2 + 11*c**2 = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-27)\/(-30))\/((-24)\/10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/40 and -15\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-2))\/(3*18\/(-2))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1357 and 8348264?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**11*x*x\/x**(-4\/15))**47)**(18\/7) assuming x is positive.\nAnswer: x**(56118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -28561 - -28751. Solve -c*z + g = -192*z + 2, -3*z = -2*g + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.61211925 and -4.\nAnswer: -2.448477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 102 + -541303555?\nAnswer: -541303453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 585040 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -994*r - 989 = -1037*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t - 2*t + 9*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {p: 1, n: 4, c: 2, e: 12}?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 6640641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -4*f - 14, -3*c + 3*f = -2*f - 43. Let b(n) = -n**2 + c - 7*n**3 - 6. List the prime factors of b(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -6*(-2 - -1)*2\/6. Suppose -3*o = r*o - 0*o. Suppose 11*g - 4 - 18 = o. Solve -9 = s - 3*q, -g = 3*s - 3*q + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 4*a - 20 = 0, -3 = 3*r + a - 6*a. What is the smallest common multiple of 6 and (r\/6)\/(1\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 144\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 166 (b) -7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1835\/22020*3\/(-4)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**5\/(c**3*c))\/(c**(-1\/2)\/(c\/((c*c\/(c\/(c\/(c\/(c*c**(2\/5))*c))))\/c)*c)))**15 assuming c is positive.\nAnswer: c**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**5*a*a*a\/(a*a\/(a**(2\/3)\/a)*a*a))**(-1\/12))**(-1\/12) assuming a is positive.\nAnswer: a**(11\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 82971492619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 13, 4397, -2, -1, 3 in descending order.\nAnswer: 4397, 13, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92399 = -3*g + 5*t, -2*g - 3*t + 61601 = -8*t. List the prime factors of g.\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86 is divided by 69.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*v + 48*v + 15 = -5*r, 0 = 2*v + 4*r - 14. Let f(o) = o**2 - 5*o + 2. Let w be f(3). Let p be 0 + w\/(-2) + 1. Sort v, 1, p in decreasing order.\nAnswer: v, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -3 + -30 - 3 - -10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -130050441 - 1?\nAnswer: -130050442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 111000022121 (base 3) to base 16\nAnswer: 3e86f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19955 - -29442. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/z**(-1)))**(-50))**(-17)*((z*z**(1\/2)\/z*z*z)\/z)**(-2\/49)*((z**(-4)*z*z)\/z)\/(z*z\/z**(-5)*z) assuming z is positive.\nAnswer: z**(-42192\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 56 or -3627\/14?\nAnswer: -3627\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.012855 - 0.0128.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 + 4*h**3 + 0*h**3)*(73*h - 223*h - 190*h).\nAnswer: -680*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 232059184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 136700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 3*s + 1. Let h be p(-2). Suppose 0 = -20*c - 0*c - 100. Let o(r) = r**2 + 4*r + 2. Let t be o(c). Sort h, t, -2 in descending order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/(-9))\/(-1 - (-1)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -4*w + 8, w + j = -1 + 3. Suppose -4*d - 4*q + 34 = q, w*d + q - 20 = 0. Let v = -4 + 7. Solve 0 = v*n + 4*r - 5 - 3, 3*n + r - d = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c - 4*c = o + 16, c - 4*o = -21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 184450 and 117215?\nAnswer: 36336650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 3*u + x, 2*u + 0*x + x + 14 = 0. Let l = u - -10. Suppose -4*y = 5*f + y - 10, l*f + y - 20 = 0. Solve -7 + f = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -262 - -335. Calculate the remainder when h is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 6:27 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/45 and (4066\/(-114))\/(20\/6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, l: 1, p: 1, s: 3, c: 3}. Give prob of sequence xp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 55 and 6660.\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 - 7*i**2 - 5*i - 6. Let u be z(-6). Let c be ((-2037)\/u)\/(-7) - -1. Let x = c - -23. Put x, -2\/7, 0.4 in decreasing order.\nAnswer: 0.4, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*k + 60 = -13*k. Let w = k - -8. What is the remainder when w is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -212, 1, 7 in descending order.\nAnswer: 7, 3, 1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 - (66 + 29 + -12 + -14).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18825, 19546, 20747, 22428, 24589, 27230?\nAnswer: 30351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2067701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -g**3 + 2*g**4 + g**3 + 3*g**4 - 3*g**4 + 2*g**4 + (1 + 2*g - 1)*(g**3 + 0*g**3 + 0*g**3) + 208*g**4 + 111*g**4 - 105*g**4.\nAnswer: 220*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express d**2 + 4*d - 4*d - d**2 + 2*d - 2*d + (0*d + 2*d - 4*d)*(d - 3*d + 0*d) - 18548*d**2 + 157895947 - 157895947 in the form v*d + s*d**2 + z and give s.\nAnswer: -18544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 - -9.14. Let j = 3851.1478 + -3852. Let l = k - j. What is l rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 252 + -253.77. Let w = -4.53 + 4.3. Let n = p + w. Which is the closest to 2? (a) n (b) 4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/29))**(-36)\/(s\/s**4)**32 assuming s is positive.\nAnswer: s**(2712\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3860*-32160\nAnswer: -124137600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 92.7 - -14.3. Let c = 107.3 - i. Which is greater: c or -0.13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17589 + 18081. Calculate the greatest common factor of 48 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u + 2. Let c be k(0). Suppose -c*b = -7*b + 90. Suppose -14*s = -11*s - b. Solve -4*q - 4*l = 28, -2*q + 6*l - 4*l - s = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 3 (b) 5 (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -200, 13, 596, 1735, 3616, 6425, 10348, 15571?\nAnswer: 22280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and -72777040?\nAnswer: -21833112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(-6) + (-11)\/(2079\/18). Which is the closest to 2\/3? (a) v (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -6.7. Let a = j + 0.2. Let o = -161.6 + 162. What is the nearest to a in 1, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-4)\/r**(-6)*(r\/r**(1\/2))\/(r*r\/r**1))**(-2\/53) assuming r is positive.\nAnswer: r**(-3\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -6*i**3 + 106*i**2 - 3*i - 39. Is 13 a factor of v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/18 - 13\/(-3). Let f = -6 + g. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 344440, 688862, 1033288, 1377718?\n\"Answer: 2*l**2 + 344416*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 1386*v**3. Let c(b) be the first derivative of 19*b**4\/4 + 231. What is 147*c(r) - 2*d(r)?\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 224, 213, 202, 191?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 246 and 82915653?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k**2 + 8 - 7 - k**2)*((-1 + 4 - 2)*(3 + 1 - 2) - 18 + 10 - 33) to v*k**2 + j + z*k and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15617046*k**3 + 3150*k**2 + 4380.\nAnswer: -93702276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -426 + 190. What is the units digit of 8 - 16 - -14 - v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.059 + 2.241. Let x = 2 - n. Which is the closest to 0.1? (a) -2\/7 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -6 + 6 - 8*k**2. Let d(v) be the second derivative of v**7\/1260 + v**4\/3 - 10*v. Let h(c) be the third derivative of d(c). Determine s(h(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z**11)*z*z**(-1\/4)*z*z)**(-1\/8)*z\/(z*(z*z**(3\/4))\/z*z)*z*z\/z**(2\/5)*z**2*z*z*z*z\/z**(-5) assuming z is positive.\nAnswer: z**(1901\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(176) + 2) + -4)**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bi when two letters picked without replacement from bbzzzkbizkvbzibib?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -d**3\/9 - 19*d**2 - 2408*d\/3 + 7396\/9 = 0.\nAnswer: -86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 PM and 1:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of 225\/4*b + 1\/16*b**4 + 255\/8*b**2 - 152 + 31\/12*b**3. Suppose m(d) = 0. Calculate d.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28.8425289 rounded to 2 dps?\nAnswer: -28.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jvjjjvvjjjj. Give prob of sequence vjvv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 + 2\/3*l**2 - 4\/3*l = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.9999984 + -6. What is p rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*(7 - 4) + -2. Let o(t) = 2*t**3 + t**2 - 2*t + 2. Let u be o(d). Let w = 1 - 1. Put u, w, 2 in increasing order.\nAnswer: w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (126\/105)\/(2\/5). Solve -k - i*k + 5*r + 15 = 0, 0 = -r - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -28, -182, -446, -820, -1304, -1898?\n\"Answer: -55*p**2 + 11*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-7)\/(k*k**(-15)))\/(k**(-4)\/(k*k**(-10))) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h*h\/h**(2\/7)*h*h*h)*h)\/(h**5*h)*h\/h**6*h\/((h\/(h**(2\/7)\/h))\/h)*h assuming h is positive.\nAnswer: h**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 - g**2 - 1. Let j(f) = 3*f**3 + 3*f**2 - 4. Calculate j(o) - 4*u(o).\nAnswer: -o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-195)\/10*(0 + 2). Let j = 0.937 - 3.937. Sort p, j, 3\/4, 3\/2 in ascending order.\nAnswer: p, j, 3\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -33\/8 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -136 + 132 - 5\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.285 * 2723\nAnswer: 776.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a2 + -20e8a4?\nAnswer: -20e946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**4 + 3*f**4 + 5*f**4 + (3*f + 0*f + 0*f)*(-2*f**3 - f**3 + 2*f**3))*(52 - 15 + 33 + 39).\nAnswer: 109*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2094711 rounded to 3 decimal places?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 3 = -0. What is the second derivative of 4*y - 8*y**3 + 8*y - 5*y + y**a wrt y?\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -62414, -122254, -179518, -234206, -286318, -335854, -382814?\nAnswer: -427198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -21*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26728*h**3 - 18486*h**3 + 36844*h**3)*(3*h - 4*h + 3*h)*(3 + 2*h - 3)*(3 - 2 + 1).\nAnswer: -66960*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 27483 divided by -4\nAnswer: -27483\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of 21*m**5\/20 - 4*m**4\/3 - 863*m**2 + 3. Let l(p) = 2*p. Give x(l(u)).\nAnswer: 252*u**2 - 64*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(51) - sqrt(204)\/sqrt(4))*-2)\/sqrt(3) + sqrt(187)\/(-2*sqrt(11)) + (sqrt(2057)*-2 - sqrt(2057)))**2.\nAnswer: 76313\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.1 - 2. Let y = 0.4 + z. Let g = 0.4 - y. What is the nearest to -0.2 in 0.3, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2751*b**2 + 6067*b**2 + 12266*b**2)*(0 - 1 - 1) as t*b + x*b**2 + q and give x.\nAnswer: -31164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -62, -123, -184, -245, -306?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.06 in 0.1, -2, -1, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 28*v**2. Let n(q) = 6*q - 10. Give n(f(w)).\nAnswer: 168*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 273 + -262. What is the greatest common factor of u and 1309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z be 16\/48 - (-1)\/(-3). Let u(o) = o**2 + 6*o - 6. Suppose 0 = p + p + 14. Let n be u(p). Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - ((-34 - (30 + -26 + -21)) + (-1 - -11))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -452, -1666, -3642, -6380, -9880, -14142, -19166?\n\"Answer: -381*u**2 - 71*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 4 (b) 0.4 (c) -1.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -3478*k + 2141*k - 15167*k as b*k + v and give b.\nAnswer: -16504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -310287 greater than or equal to -310287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -132*k**2*n**3 - 2*k**2*n + 787*k - n**3 wrt k?\nAnswer: -264*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 80 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1371.797 to the nearest ten.\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*g**4 - 990*g**3 + 44309*g**2.\nAnswer: -72*g - 5940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -5*n**3 - 122*n**2 - 47*n + 33. What is the remainder when 600 is divided by o(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28 and 64164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 0.011 and 0.09.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -4*i + 2*z, -5*i + 13*z - 10*z + 1 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of 2\/15*m**7 + 1\/15*m**4 + 14\/75*m**5 - 3*m**2 + 0*m**3 + 23\/100*m**6 + 0*m + 0 + 5\/168*m**8. Suppose u(j) = 0. Calculate j.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -24.878 * -4158\nAnswer: 103442.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand j - 4*j + 2*j + (-j + j + 2*j)*(6 - 5 + 2) + 0 + 2*j + 0.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 7*r**2 + 8*r + 14. Let o be u(-2). Let g(c) = -2*c + 98. Does 3 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -f + 1 - 3, 3*i + 407*f + 129 = 437*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -28080 divided by -5\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.568 - 707.568. Let b = -706 - m. What is the closest to -1\/6 in b, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 2*o**2 + 58*o - 173. Give b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -o**4 - 2*o**3 - 264 + o**2 + 263 - o + 5*o**2 to c*o + i*o**3 + t*o**2 + w + h*o**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 6535 * 225\nAnswer: 1470375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3 - -2) + -1 + -18. Let a be -1 + -1 - f\/4. Calculate the common denominator of (-86)\/a*(-12)\/(-32) and -1\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from deddkdwjdwdwwwwdjd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = n, 7*m + 20 = 11*m - 3*n. Suppose 18 = m*v - 16. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-1\/20)*y*y**5 assuming y is positive.\nAnswer: y**(119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1077 + 1078. Sort 1\/4, f, 0.5, -8, 0.08 in descending order.\nAnswer: f, 0.5, 1\/4, 0.08, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x**(2\/17)*x))**22 assuming x is positive.\nAnswer: x**(-44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3737290 to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 162 - 1663 = 0. What is the greatest common divisor of q and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2088155213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 800*r + 2 - 5 - 799*r + 5. What is i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 74\/5 of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -125, -238, -341, -428, -493, -530, -533?\n\"Answer: i**3 - i**2 - 117*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1500*i**3 - 648*i.\nAnswer: 9000*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3082041 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -23515*c + 46840?\nAnswer: -23515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-300 - -405) + (10 - 23).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4817*m**3 - 4727*m**3 + 925*m**3.\nAnswer: -8619*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 250003515 (base 6) in base 13?\nAnswer: ca8629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u + 5*o - 187, 3*o - 151 = -3*u + 26. Let j = 113 - u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -47b - -2c4?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 1030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 76004 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from otroontcoonnoccnnoo.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -5 + -1*(1*sqrt(3) - sqrt(3)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 44053.68mg?\nAnswer: 44.05368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1719 is divided by 569.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -3305 less than -2975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 10*k**2 - 7*k. Let q be 56\/(-26) + (-6)\/(-39). Let d(s) = -10*s**2 + 6*s. Let u(o) = q*b(o) - 3*d(o). Find the second derivative of u(m) wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -172*n - 52 = -174*n. What is the remainder when 76 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/4? (a) -2 (b) -1.1 (c) 3\/7 (d) 3\/4 (e) 0.131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -1\/2, 1, -47276, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 PM and 7:27 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1932)\/6440)\/(((-6)\/(-35))\/(-3))*(-4)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + 1101111001110101111111?\nAnswer: 1101111001110110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 2:17 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -4*n**2 + 4*n - 27. Let y(h) be the first derivative of h**3\/3 - h**2\/2 - h + 239. Let c(o) = d(o) + 5*y(o). What is c(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1356553.0594 + -1356426. Let u = 0.1406 + r. Round u to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1158, -1110, -1078, -1068, -1086, -1138?\n\"Answer: -x**3 - 2*x**2 + 61*x - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -b - v - 5, -5*b = 5498*v - 5501*v + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2577831051.\nAnswer: 3, 823, 1044079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -749*16\/(-6160) - 48\/88?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -47739.6 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -2*p + 0*p - 7*p**3 + 6*p**3 - 3 + 5 - 2*p**4 as x*p + s*p**2 + o + a*p**3 + u*p**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 2:43 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 186*j = 180*j + 2526. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 20\/(-2) - (-3 - (-8)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2\/19)*(a*a**(3\/11)*a*a)\/a)\/(a**(-2\/3)*a\/(a*a**7)) assuming a is positive.\nAnswer: a**(6166\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -72, -141, -210?\n\"Answer: -69*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.3 + -0.7. Let h = -0.06 + -0.3. Let t = h + 0.76. Which is the nearest to 2\/3? (a) -2 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -2. Let p = -1128 + 1128.0432. Let h = 0.0832 - p. Put k, -3\/2, 1, h in ascending order.\nAnswer: -3\/2, h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -311 - -463. Suppose 14*n = 18*n - s. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 - -3. Let z = l - 7. Let g = -0.4 + -0.1. Which is the nearest to z? (a) -2\/21 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -60*f + 36*f + 3*f**2 + 72 - f**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 82 - 153. Let q = 65 + b. Let l be 5\/q*3*2. Let c(t) = -6*t - 3. Let i(j) = -j**2 + 5*j + 2. Give l*i(u) - 4*c(u).\nAnswer: 5*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 4*s**3 - 11*s + 25. Let b(l) = l**3 + l**2 - 2*l + 1. Let i(z) = -3*b(z) + f(z). What is the least common multiple of (-4)\/10 - (-122)\/5 and i(0)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*v**3 - 64*v**2 + 768*v.\nAnswer: -4*v*(v - 8)*(v + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -8*k**3 - 31*k**2 + 154*k + 608. What is o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of -r**4\/12 + 14*r**3\/3 + 182*r. Find o such that i(o) = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) 0.051 (c) -33 (d) 10 (e) -3\/5 (f) -1\/2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 160 or 10\/11?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 80. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 - (-15 + 10 - ((2 - 0) + -3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5357595.3*2.\nAnswer: 10715190.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 4*l + 3*y - 7, 2*y + 8 = 0. Solve 5 = -h, 4*i - 22 = -l*h + 4*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -a + 213, -207 = -4*x + a + 4*a. What is the second derivative of 53 - x + 33*d**2 + 18*d wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4614960 by 9380.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14208615371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9521 is divided by 434?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 755 + 0?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -3*w**4 - 360*w**3 - 711*w**2 - 354*w = 0. Calculate w.\nAnswer: -118, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -42 + 79. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-564)\/18*3\/(-2) is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2207829721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 1. Let k(p) = -4*p. Let s be (36\/42)\/((-1)\/7). Let x(j) = 3*j - 2 + 2. Calculate f*k(g) + s*x(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -4 + (-5 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/106967 and 76\/8673?\nAnswer: 320901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 14350 + 14353 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 925 is divided by 235?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h, 1 j, and 1 i when four letters picked without replacement from {h: 2, v: 1, j: 1, o: 2, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/7? (a) -0.4 (b) -743 (c) -4 (d) -0.08 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 124*w - 122*w + 32 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (72\/(-15))\/(80\/(-100)) - 1. Let k(l) = 100*l**2. Let x be k(1). Let y be (-36)\/15*x\/(-6). What is the greatest common factor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99) + -5)*-1 + (sqrt(11) - (sqrt(11) - (-1*sqrt(1584) + sqrt(1584))))*-2 + 3.\nAnswer: -3*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y + 15 = -5*w + 7*y, 2*w = -3*y - 6. Suppose -4*s = -c - 12, 9*c - 4*c + 5*s - 15 = 0. Suppose 2 = -p - c*p. What is the closest to -2\/5 in 1\/2, p, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4671239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - -6310b6?\nAnswer: 6310ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6b15 (base 15) in base 9?\nAnswer: 34172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/4)\/((-3)\/24). Suppose -4*d + 10 = x*u, 2*u + 6 - 2 = 3*d. Factor -2*k**d + k**5 + k**3 + 3*k**3 - k - 4*k**3 + 2*k**4.\nAnswer: k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 18357, 18355, 18353, 18351?\n\"Answer: -2*k + 18359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -228725, -0.1, 1\/4 in descending order.\nAnswer: 1\/4, -0.1, -228725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 94873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 28589 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -803*n + 4473 - 41600 = 6405 + 2239 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-41 + 29)\/(296\/(-1924))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w + 2*w - 5*w)*(1 - 5 + 3)*(0 + 4 - 5).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-33)\/(-6))\/((-97)\/194)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/5? (a) -16863 (b) 19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 560770 less than 0.3?\nAnswer: -560769.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 26 = a, -4*a + 2*c = 1 - 49 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/11, 70, 0.35, 503, -3?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (7 - 7) + -13 + 5. Let u(p) = -3*p - 20. What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h + 7. Let o(n) = -n - 6. Let j(q) = 7*o(q) + 6*s(q). Let f be j(-3). Suppose v - 10 = -v. Put v, -2, f in increasing order.\nAnswer: -2, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -128911521?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s**3 + s**3 - 3*s**3 - s**3 + 0*s + 0*s + (s + s + 0*s)*(-3 + 3 + 2*s**2) + 0*s**3 - 3*s**3 + 0*s**3)*(0*s + s - 3*s).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -i, 4*f + 8 = 2*i - 6*i. Let y = i - -49. Suppose 29 = 3*m - y. Solve -4*w + 0*w + 5*z + 21 = 0, -4*z - m = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/3, -116, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 3024 divided by 4\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*m - 10*m + 6. Solve m*j = 4*g - 1, g = -j - 3*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-18) - 145\/45. Is ((-13)\/4)\/(n\/228) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of 3\/10*i**5 - 5\/4*i**4 + 7*i + 0*i**2 + 0 + i**3. Solve z(m) = 0 for m.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 6*h**2 + 6*h - 11. What is m(4)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from ayualalaylllaky.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t + 4*s + 38, 4*t - 53444 = -3*s - 53489 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add -172.1 and -130.\nAnswer: -302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 552727?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -112415900 to the nearest one million.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1421272, 1421273, 1421274, 1421275, 1421276?\nAnswer: 1421277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence va when two letters picked without replacement from {k: 2, r: 1, v: 1, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/103840 and 51\/1408.\nAnswer: 415360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-375)\/150*(-6)\/21.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m + 2*m + 2*m - 9 + 2 + m**2. Let w be j(-5). Suppose 4*g - 4*f - 106 = -26, 5*g + w*f = 60. Solve -5*z - g = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 239*t = -17*t + 9*t + 988 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 825.6641 millennia to months.\nAnswer: 9907969.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -19423*r - 77671. Give s(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (536\/700)\/((-12)\/130). Let i = g - -23\/3. Calculate the common denominator of 41\/49 and i.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -940 divided by 20\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 254\/136 + 108\/(-144).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + -0.9. Suppose 18*q = -67*q - 18*q - 515. Let l = -0.3 + 0.4. Which is the nearest to l? (a) p (b) -8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -104 = 6*o + 7*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -7*m + 76. Let q be x(10). Suppose -13*s - 4*f = -10*s - 31, -2*f = 5*s - 47. Solve 6*k - 4*k - 2*p - q = 0, -2*p - s = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3047 - 3013. Solve 0 = -4*v - a + 38 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -z**5 + 7*z**4 - 19*z**3 + 25*z**2 - 16*z + 4 = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 65\/(-15) - 288\/(-64)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes before 5:13 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -133\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from ekjuuwhke?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1953087839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3417129, -3417140, -3417159, -3417186, -3417221, -3417264?\nAnswer: -3417315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -22*((-25)\/(-10) - 3). Suppose -6*s + b*s = 140. What is the remainder when 132 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 557590 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/40*-4*5. Suppose 0 = 4*o - w - 6. Suppose a - o*p - 3*p = 17, 0 = 2*a + 2*p + 2. Sort a, 1, -3 in decreasing order.\nAnswer: a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 23 - 2 = 0. Let r be 20\/9*q\/(-56). Which is the third biggest value? (a) r (b) -3\/4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -5 - 4*s**2 + 5 + s**3 + 4. Let u be v(4). Suppose u*b = 6*b - 12. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*h - 49637 + 49637.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ge when two letters picked without replacement from eeggggggggggggeg?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 25*o**2 + 17. Let t(d) = 37*d**2 + 25. Give 7*a(k) - 5*t(k).\nAnswer: -10*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 296652431 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/212 and -73\/434.\nAnswer: 46004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15 - -17)*1*(-1)\/4. Sort 3, -0.1, k, 9 in descending order.\nAnswer: 9, 3, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/18*(-2)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 35508 >= 35517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 3*(-1 + sqrt(99)\/sqrt(9) + -4 + sqrt(11) + -1 + -5)**2 + 2.\nAnswer: -132*sqrt(11) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/(-3)*-1*3. Suppose -3*t + 40 = -o*i, -6*t + 4*t + 3*i + 25 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 2636562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-1))\/((-12)\/(-39))*97\/(-1261).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -45, -200, -457, -816?\n\"Answer: -51*g**2 - 2*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -397473356 by -99368339.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -95 - -96. Is 5 + (12 - 4) - (-1)\/m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**5*f)**(2\/37)\/(f**(-3)*f**15) assuming f is positive.\nAnswer: f**(-432\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2963*o**3 + 764*o**3 - 1052*o**3 + (-2 + 1 - 1)*(o**3 + 0*o**3 + o**3) - o**3 + 5*o**3 - 2*o**3 + o**3 - 3*o**3 + 3*o**3.\nAnswer: 2674*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1907 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 + 106*i**2 + 412*i + 408. Let x be a(-102). Let k(z) be the second derivative of 19\/2*z**2 - 11\/2*z**3 + x + 32*z. Differentiate k(q) wrt q.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 64 and 756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 5. Let j(i) = -1762*i. What is d(j(p))?\nAnswer: -3104644*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -22, 7450, 2, -2, -1, 4 in increasing order.\nAnswer: -22, -2, -1, 2, 4, 7, 7450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*(24\/11 + -2). Let h = -0.4 - -0.5. Let z = 2\/111 - -196\/1443. What is the nearest to h in -3, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, t: 5, y: 1, x: 1, g: 1}. Give prob of picking 1 x, 1 y, 1 g, and 1 t.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 448 and 19880?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -279 = -2*r + 275. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -6*k + 12. Let s(q) = -2*q + 4. Determine -2*g(u) + 7*s(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12774)\/170320)\/(126\/(-32))?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 6081, 0.4, 10, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8336 = -1884*n - 2684 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2159 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: Let n(j) = -31*j + 6. Let v be n(-4). Let l = 76 - v. Let p be l\/135 + (-1 - (-94)\/70). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 278 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -513 divided by 171\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 - 13*o + 41. Let w be j(8). Let i be (-130)\/120 - w\/(-12). Which is greater: i or -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 6*w**2 - 3*w - 4. Let c = -14 + 17. Suppose -2*p = -4*p + c*n - 3, 0 = 3*p + 4*n + 13. Is u(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-184*z + 4 - 12 + 8)*(5*z - 3*z + 0*z + 2).\nAnswer: -368*z**2 - 368*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 4*m**2 - 2*m - 4. Let n(y) = -y**3 - 3*y**2 - 4. Let v be n(-3). Let z be w(v). Let t(h) = 3*h**2 - 6*h + 5. Does 17 divide t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 298935318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -1043.\nAnswer: 2\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d**3 - 163252*d**2 - 1665619340*d + 1665782596 = 0 for d.\nAnswer: -20407, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3013 + 1002 + 43901*i**2 + 1005 + 1006.\nAnswer: 43901*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1379*d**2*k**2 - 144*d**2*v - 33*d*k*v + 29*k**2*v - 2*k**2 + 6*k*v - k + v + 1477 wrt d?\nAnswer: 2758*d*k**2 - 288*d*v - 33*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 14 - 5. Let d(f) = f - 1. Let m be d(u). Solve 5 = -m*h + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1057286677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3 != 229983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -4. Let s(n) = -n**2 - 10*n + 13. Let h be s(-11). Suppose -3*i = -3*x - z, 5*x + h + 3 = 4*i. Are 9 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**2 - 75*w + 891. Is 3 a factor of q(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**2 + 3*p**2 + 0*p**2. Let y(g) = -99*g - 96*g + 445*g - 94*g - 86*g - 85*g. Calculate y(f(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3410340 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 74067703 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Is 89959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 15 = 0, h = 2*u + 5*h + 18. Is -20\/47 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1299796, 1299772, 1299744, 1299712?\n\"Answer: -2*o**2 - 18*o + 1299816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7470*t**2 - 1535 wrt t.\nAnswer: 14940*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 5*b + 1 = 16, 2*l - 11 = b. Solve -6*n = -5*n + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2 + 1014*y - 1204632.\nAnswer: (y - 702)*(y + 1716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o = -33 - 7. Suppose -4*c + 1 = o, c - 2 = -l. Suppose 1 + 13 = 2*v. Solve -l*p - v = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a = 127 - 633\/5. Let u = -12 - -11. Let w = 0.5 - 0.6. What is the closest to w in a, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 1 (c) -3793 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-55)\/90)\/(1\/(-49611)). Let k = o - 30245. Let z = -73 + k. Which is the third biggest value? (a) z (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -2*v + 13. Let g be l(0). Suppose g*i = i. Solve 3*f = -i*f - 4*c + 8, 4*c - 24 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 1 + 3 = 3*g, g = 0. Let s be (-2)\/a*(0 + 1). Is s <= -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -891 + 899. Solve 6*z - 4*z - x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((36\/14)\/(-3))\/((-45)\/(-1540)*11)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of 5*g**5\/4 + 93*g**2\/2 + 73*g. Find the first derivative of u(l) wrt l.\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of k**9\/15120 - k**7\/2100 + k**5\/600 - 7*k**3\/6 - 13*k. Let s(i) be the second derivative of d(i). Factor s(w).\nAnswer: w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + (0 + sqrt(7))**2*2 + 1 - 1*sqrt(14)\/sqrt(2)*-5 - (5*3*(0 + sqrt(700)) + 4)**2.\nAnswer: -157501 - 1194*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of f**3*h**2*n + 198721*f**3 + 655*f**2*h**2 - 6*f**2 + 12*f*h**2*n + h**2*n + 2*h**2 wrt f?\nAnswer: 6*h**2*n + 1192326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1347*m - 9527 = -35120 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3, -2, 36002?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 597110520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 53*b**2 + 37*b + 184. Is 17 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 74 - (-61 - (-60 + -14))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2.905046642 rounded to 3 decimal places?\nAnswer: 2.905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 22687 + -14356. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 218, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 + -1. Let c(l) = l + 5*l**2 + 6*l - 2 - 3 + 6*l**3 - 7*l. Let j(r) = 11*r**3 + 9*r**2 - 9. Calculate y*c(z) + 3*j(z).\nAnswer: 3*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 3203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(3\/8)\/(p*p**(-2\/25)*p) assuming p is positive.\nAnswer: p**(-309\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -15*d - 4. Let l be u(4). Let y be l + (-5)\/(15\/6). Calculate the common denominator of -61\/4 and (1 - 0) + 399\/y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that a**5\/3 + 197*a**4\/3 - 410*a**3\/3 - 2402*a**2\/3 - 2791*a\/3 - 995\/3 = 0.\nAnswer: -199, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x, 2*x - 33 = -3*g - 9. Suppose -24 - 15 = -3*w + 5*k, -w = 2*k - 2. What is the remainder when -110*(12\/g - 2) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 448800 and 4278?\nAnswer: 319994400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 473 + -468. Let m = -5 - -8. Which is the second smallest value? (a) 0.3 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671962 is divided by 379.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in -323, 8531, 17373, 26197, 34997, 43767, 52501, 61193?\nAnswer: 69837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, 31.8, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -325183277.8 + 0.4.\nAnswer: -325183277.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/125634 and -4\/146573?\nAnswer: 879438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1047 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1553911 = 17*n - 2919961 - 8826537. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*w = -89*w + 3720. Let t = w - -379. Solve -2*i - 17 = -t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/(-21)*1)\/(((-972)\/(-1386))\/27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 7 = -a. Let d(l) = l**2 - 7*l + 3. Let q be d(a). Suppose t - q = 3. Which is greater: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 7*h + 20*h - 72. Solve 0 = h*d - d + 5*c - 19, -5*d = -4*c + 35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (65\/78)\/((-2)\/(6*-2)). Suppose d*y - 72 = -y. Solve 4*p = -2*j - 6, -p + 4*j - 3 - y = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.2? (a) -1\/6 (b) -9 (c) 0.23 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w + 6 + w**3 - 2*w**3 + 0*w**3. Let v be (-102)\/(-9) + (-6)\/(-9). Let f = 12 - v. Calculate p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, y: 2, r: 1, w: 5, m: 1, v: 4}. What is prob of picking 1 t and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 4*h - 51. Let m(s) = 91*s - 6543. Let z be m(72). Determine o(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 - 4*o**2 + 5*o - 4. Let b(l) = -l**2 + 6*l - 2. Let j be b(5). Suppose -v + j*v - 6 = 0. What is m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 232694291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 8*x**2 - 3*x - 4. Suppose 0*d + d + t = -4, -3*d - 9 = 4*t. Let q be u(d). Let g = q - 45. What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 = 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -38, -67, -118, -191, -286, -403?\n\"Answer: -11*q**2 + 4*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6 - -9)*(-5 - 289\/(-51)). Which is the nearest to -3? (a) -2 (b) 1\/5 (c) 25 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/(-15) + (-1066)\/1590. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 157502 and 3808450.\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138*s = -233 - 733. Which is the nearest to -0.1? (a) 2\/9 (b) -3 (c) 0.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 2 (c) 6\/5 (d) 1\/11 (e) -1 (f) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 + 25*o - 35. Let g(h) = 2*h**2 - 48*h + 68. Let r(j) = -6*g(j) - 11*u(j). Determine r(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001101001100011111 (base 2) to base 12.\nAnswer: -34647b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 206149 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 201\/5 - 40. Let d(r) be the first derivative of -3 + 0*r**3 + 0*r**4 + h*r**5 + r + 0*r**2. Differentiate d(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -137*b - 1968*b - 803*b = 1501*b + 171951 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 28012 divided by 2?\nAnswer: 14006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 11) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-0.18053.\nAnswer: 0.18053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5.41 less than -10?\nAnswer: -4.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 145, -1, 5\/2, 238, 3\/13 in ascending order.\nAnswer: -1, 3\/13, 0.3, 5\/2, 145, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -4.6. Let g = -0.6000015 - x. What is g rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of -x**4\/24 - 5*x**3\/3 + 33*x**2. Determine b(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -2*k**2 - 8*k + 3. Let f be j(-4). Let g(z) = -10*z + 2 + 14*z - f*z. What is the units digit of g(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**3 - 11*a**2 + 9*a + 7. Let q be y(8). Let h = 166 + q. Calculate the remainder when h is divided by (-573)\/(-27) - 2\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 91 - 79. Suppose -9*u = 97 - 457. What is the smallest common multiple of u and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -7*n**3 + 20*n**2 - 2*n - 14. Let l(x) = 5*x**3 - 18*x**2 + 3*x + 12. Determine 7*l(c) + 6*z(c).\nAnswer: -7*c**3 - 6*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of -k**3\/3 + 12*k**2 - 75*k. What is the remainder when 42 is divided by y(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -128 + 132. What is the lowest common multiple of s and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 3*q - 8 = 0. Suppose -5*w + 25 = b + 2, -5*w + 33 = -q*b. Suppose -2*a - 4*d = d - 40, 2*a = w*d. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*h*r - 226067*h - 762245*r wrt h?\nAnswer: 3*r - 226067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -3\/520366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -26*t + 1 + 136*t + t. Suppose 0 = 4*f - 2*z, 2*z - 3 = 5. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/(-4) - (-12 + 49\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 1513 - 87 = 0. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -170359*z - 21805950. Determine x(-128).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15953?\nAnswer: 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (94\/4)\/((-13)\/(-26)). Let k = -45 + r. Is (-126)\/14*(-2)\/k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hrvr when four letters picked without replacement from krirkrgiiigvvkghr.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1884)\/785 - 111\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 196\/(-84)*3*36\/21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2044307 is divided by 26209.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.469 - -0.319. Which is the third biggest value? (a) -0.2 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1508*w = 1480*w - 84 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 26765728021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/((-36)\/(-2)))\/(6\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**2 + 20*a + 30. Let m be r(21). Sort -4, m, -2.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a + 17. Give j(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 25*t + 581. Calculate a(-30).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -55 - -40 - ((-4 - 8) + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4916221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 815865 and 47904?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -0.162?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 72080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -313, -625, -937, -1249?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.1 - 3.9. Let v = 3.4 - 3. Which is the biggest value? (a) j (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 55300 and 4732100?\nAnswer: 33124700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s**3 + 5*s**3 - s**3 + (0 + s + 0)*(2*s**2 - 2*s + 2*s) - 95*s + 95*s + 3*s**3 - s**2 + 3.\nAnswer: 7*s**3 - s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.32 * 0.05\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 161*x - 128*x - 264 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = -7*a - 61 - 308. What is the closest to 0.3 in -0.3, -5\/2, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, 3\/5, 0.5, -9 in descending order.\nAnswer: 3\/4, 3\/5, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 6*b = -b - 1224, 3*t - 3*b = 1248. Suppose -5*a = x - t, -4*a - 3*x + 77 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 15, g: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 3*l**2 - 1611*l + 3210 = 0. What is l?\nAnswer: 2, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 90152263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4*i**3 + 9*i**2 - 18*i + 2. Let p(x) = -9*x**3 - 19*x**2 + 35*x - 4. Determine -13*h(q) - 6*p(q).\nAnswer: 2*q**3 - 3*q**2 + 24*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/10 (b) 5 (c) 3\/5 (d) -2.2 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 145538565 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -2*t + 4*z, -4*t - z + 206 = -58. Suppose g = -a + 14, t = 4*a - 3*g - 12. Solve 2*l - 9 = f, 4*l = -f - 4*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 150239 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -48*i + 135*i**4 + 0 - 747*i**3 + 1848\/5*i**2 = 0. Calculate i.\nAnswer: 0, 4\/15, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k + 2. Suppose -3*l + 12 = 0, r - 30 = 2*l - 9. Let w(b) = r*b - 15*b - 2 - 16*b. Determine 3*d(v) + 4*w(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 160 + -128. What is the smallest common multiple of l and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 80.5 to 0 dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4252742 and 20?\nAnswer: 42527420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35\/43 + -2319\/215. Find the common denominator of (40\/(-13) + 4)*(-30)\/(-9) and h.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*q + q - 49. Suppose -9 = -4*v - t, -4*v - 5 = -q*v + t. Calculate the highest common divisor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 26*q**2 - 27*q + 59. Let o be d(25). Let c be 3*(9 + (-6 - 0)) - 2. Solve -c*g + o = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/(-6)*(-3)\/2. Let j be 55705\/225 - (-2)\/9. Let b = j + -247. What is the smallest value in b, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z*z**(-1\/11))*z*z**(4\/7))\/((z\/((z**(-2\/3)\/z)\/z))\/z**5))**18 assuming z is positive.\nAnswer: z**(4152\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 22901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -139*j - 1017. What is the thousands digit of i(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -222168*m - 536. Let t be f(-2). Round t to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.64 and -613765100?\nAnswer: 613765101.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 + q**2 + q + 7. Let u be a(0). Suppose u + 63 = -5*j. Let m be 16\/(-56) - 32\/j. Is 0.1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -4*x, -39*m = -35*m - 2*x - 14. Solve 7*k - 6*k = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -b + 4*b + 5*b - 3*b as y*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (85*(-3)\/(-30) + -7)*2926. What is the highest common factor of o and 462?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*c + 80 = -7*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2089957 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 52\/333 and 47\/33?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of -5*k**7\/42 - 16*k**3\/3 + 14*k**2 - 5. Let t(q) be the second derivative of z(q). Find the first derivative of t(d) wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-915)\/2318)\/((-1)\/1*(-110)\/(-22))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -3 + 8 - 25*v + 9 - 3. Let u(h) = -h. Let z(a) = -s(a) + 2*u(a). Let o(g) = 23*g - 12. Let c(x) = -3*o(x) + 2*z(x). Differentiate c(y) wrt y.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -2*r - 9. Let y be z(-6). Let d(w) be the first derivative of -w**2\/2 + 7*w + 35. Let j be d(y). Which is the smallest value? (a) 3 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zbzrrzzgbrrzrbbb. Give prob of picking 1 z and 2 b.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 272136 is divided by 10059.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15453272.\nAnswer: 2, 17, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 74 + -50. Suppose -948 = -4*r + 1276. Calculate the common denominator of 145\/18 and (-4)\/q*r\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -0.4, 0, 46.1, 1\/2?\nAnswer: 46.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/(-9))\/(-2*(-25)\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 96 and 2352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7965 or -7966?\nAnswer: -7965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of v**8\/112 + v**7\/70 - v**6\/40 - v**5\/20 + 5*v**2\/2 + 5. Let x(p) be the second derivative of i(p). Solve x(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*f**4 + 35*f**4 - 8*f**4 - 8*f**4 + f**4 - 3*f**4 + (0 + 0 + 2*f)*(f**3 - f + f) to u*f**4 + h*f**3 + d*f**2 + g*f + w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:28 PM and 9:59 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 + (49 - 34) + 12.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 15\/(-240) - (-2457)\/144. Solve -13*q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/12 - (-6 + 9). Let i = -13\/4 - u. Is i less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = 12*n - 8*n, -2*l + 7*l - n + 30 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1773 + 12415\/7. What is the fourth smallest value in 7, 1, r, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 968816 is divided by 206?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/11? (a) 0.4 (b) 67 (c) 1\/3 (d) 26 (e) -1 (f) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -30*i + 1. Let h(d) = 2*d + 27. Determine h(f(r)).\nAnswer: -60*r + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 + -7. Let s = x - 9. Let n = 15 + -15. Is n less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 15585666 times -69\nAnswer: -1075410954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 - 21*p**2 + 264*p - 108. Let x be i(-18). Let d(s) = -s**2 + 4. Let r be d(3). Let l = r - -11. Solve 3*g - l = -x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 3*n**2 + 4. Let j(t) = t**2 + t + 1. Let f be 1\/4 - (-100)\/(-16). Let k = -4 - f. Let w(h) = k*j(h) - u(h). What is w(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 64 + 3*v + 58 + 6*v**2 - 124. Let a be (45\/(-5) + 8)*-2. Determine y(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -22.578 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -707, -1411, -2115, -2819, -3523, -4227?\n\"Answer: -704*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 462 and 1584.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 2*l**3\/3 + 476*l**2\/3 + 27824*l\/3 + 17920 = 0.\nAnswer: -140, -96, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6626651?\nAnswer: 17, 251, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.3 - -0.5. Let w = o - 1.2. Put -0.2, -1, w in ascending order.\nAnswer: -1, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 7\/552 (b) -0.5 (c) -2 (d) 2\/41 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of -k**8\/2240 + k**6\/360 - k**4\/3 + k. Let h(g) be the third derivative of r(g). Find the second derivative of h(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -248 and 128836036.\nAnswer: 128835788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 50653, 101627, 152601?\n\"Answer: 50974*f - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -4*v - 9. Let a(d) be the first derivative of d**4\/4 + 2*d**3\/3 - d**2 - 2*d + 1. Let n(q) = -q**3 - q**2 + q + 1. What is v*a(g) - 6*n(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -5, -4, -22, -174135 in decreasing order.\nAnswer: 10, -4, -5, -22, -174135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -60 - 29\/2*s - 1\/2*s**2.\nAnswer: -(s + 5)*(s + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-424)\/2968*7*-5. Solve 4*t = -f*u - 2, 0 = 2*t - 4 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0217992379 rounded to 5 decimal places?\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5281\/660 + (-6 - -142)\/(-17). Let y(g) be the third derivative of 0 + 1\/1320*g**6 + 0*g + 0*g**4 + b*g**5 + 0*g**3 - g**2. Factor y(a).\nAnswer: a**2*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 283*n. Let z(s) = -175*s - 8. Give z(y(k)).\nAnswer: -49525*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + 149\/(-1) + 0\/(-1). Let z be 2\/10 + (-20)\/y. Let x be 4\/6*9\/(-21). Which is the biggest value? (a) -0.1 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1492*z + 465*z + 37953 + 2100 = 0 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 14032 (base 6) in base 5?\nAnswer: 32210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 91317 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -54266 - -9?\nAnswer: -5425c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1019, -2046, -3087, -4148, -5235, -6354, -7511, -8712?\n\"Answer: -c**3 - c**2 - 1017*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*c - 4*c - 3*c)*(0 + 1 + 3 + (3 - 3 - 2)*(5 + 0 - 3) - 4 + 6 - 4).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97 + (67 - (-48 + 106)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-27)*9 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3.1 and -793.9.\nAnswer: -2461.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, 27, -1, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -5*h**3 - 2*h**2 - 2*h - 1. Let w be u(-1). Suppose j + 8519 = a, -4*j + 50532 = 5*a + 7964. Suppose -w*z + a = 30116. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 48 = -2*z, z - 2*j - j = 32. Suppose 3*d + d = -620. Let a = d + 220. What is the highest common divisor of z and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -343 = 3*s - 97. Does -84 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 225*z**4 + 2*z**2 - 16*z + 7771 wrt z?\nAnswer: 900*z**3 + 4*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 3) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/233 or -0.5?\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ayas. What is prob of sequence ys?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 + -7. Suppose 0 = -0*o - v*o + 40. Suppose -5*k + 2*m = -79, -k + o - 3 = -m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1352, 1306, 1260, 1214, 1168, 1122?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*d + 6*d. Let m be d\/((-520)\/254) - 1. Let p = m + -2\/13. What is the third biggest value in p, 4, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2268 - 29?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 796*w + 4. Let v be (0 + (-1 - 1))*(-3)\/6. Let l be z(v). Round l to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1286817, 1286816, 1286815, 1286814, 1286813?\nAnswer: 1286812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1986, 2799, 2458, 963, -1686, -5489?\nAnswer: -10446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 19352*a - 252173. What is g(13)?\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 273, 195, 117, 39, -39?\n\"Answer: -78*o + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 4*z**2. Let y(u) = 6*u**2 + 2*u - 138. Let k(w) = -1. Let p(g) = 3*k(g) + y(g). Let i(l) be the first derivative of p(l). Determine b(i(h)).\nAnswer: 576*h**2 + 192*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2336053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 4*h + 435, -4*h = -5*v + h - 2130. Let o = v - -461. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-63)\/54*(-5 - (-4 + 6\/12)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + p - 1 = -4*x, 10 = -2*p. Let m = 3 - x. Let c = m + 14. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -177, -165, -151, -135, -117?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*z = 819*z + 22872 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2 + 4*m + 1. Let j be q(3). Suppose 5*x - 19 = j*s, 32 = -s - 4*s - 2*x. Is -1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5566521 is divided by 22628.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mjmjmmmmjmmmjmmmmmm. What is prob of sequence jmmm?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 49 * -175.8.\nAnswer: -8614.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*z = 411*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.2+-156646\nAnswer: -156645.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4 + 3*q**2 - 2*q**2 - q**2 + 7*q**2 wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -10468*m + 711802. Give y(68).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 4*p**3. Let q be l(1). Suppose -q*j = -9 + 1. List the prime factors of j + (-22)\/(-3)*6.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 426586\/18 + 162\/(-729) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 655*w = 651*w + 10583620. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -14622*u**2 + 1. Let s be i(1). Let y = s + 7421. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 0 - 2*l**3 - 5\/3*l - 7\/2*l**2 - 1\/6*l**4 = 0. Calculate l.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 AM and 7:33 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1413 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -6.7*-0.5\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4128 and 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -10.412821459 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 1052*t - 103620.\nAnswer: -(t + 110)*(t + 942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5522? (a) 0.2 (b) 75 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6*d - 1)*(-1 - 3 + 1)*(0*d - d + 2*d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1366, 5480, 12336, 21934?\n\"Answer: 1371*t**2 + t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 511910 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - -1. Suppose -5*n + 4*c + 80 = -c, 0 = -r*n + 5*c + 26. Solve -2*g + n = 5*a - 6, -5*a + 20 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t**2 + 148 - 3*t**2 - 148 to w*t**2 + i + b*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/1554 and -52\/4323.\nAnswer: 2239314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -3*h - 4*j, 7*h - 8*h = -5*j - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen tenths of a meter in centimeters?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 2*r = 214, d = -d + 2*r + 94. Calculate the least common multiple of 10 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2182387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -135 - -5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2.9 + -0.344?\nAnswer: 2.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1377.00077 - -1377. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 18147350*w**3 - 5154*w**2 + 7222*w?\nAnswer: 108884100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hq when two letters picked without replacement from {q: 1, h: 2, v: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from lhlululuhlluquh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 60214 = -2*a - 67822, -320125 = -5*y - 2*a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*q = 23*q. Suppose 20*t - 14*t = q. Which is the second biggest value? (a) 61 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-13)*w)\/(w*w**1*w))\/(w\/(w*w*w**(-3))*w**(-2)) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -57 - -82411?\nAnswer: 82387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73 = -2*h - 69. Let x(b) = b**3 - b**2 + 2*b - 3. Let z be x(h). Suppose -2*j - i + 1039 = 0, 14 + 1 = z*i. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(1\/10)*b)\/b)\/b*b**3)\/((b**(1\/3)*b)\/b*b)**10 assuming b is positive.\nAnswer: b**(-337\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.4288736 decades?\nAnswer: 51.464832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + 8*g + 2*h = -34, 70 = 4*g - 6*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (2 - (0 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 5629*h + 100940. What is y(-18)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-8)\/q)\/(q**(-2\/9)*q))\/(q**(1\/13)\/q)**(-4\/7))**(25\/3) assuming q is positive.\nAnswer: q**(-211000\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/6 and -1 - (-12)\/(-540)*-39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -3*h + 8 + 6, 2*i - 3*h - 14 = 0. Solve 2*a = -l + 1 - 11, 0 = a + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -91 - -158. What is the remainder when v is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -129, 3, -10, 8, -5 in ascending order.\nAnswer: -129, -10, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*i**2 - 7*i**2 + 12 - 24*i**2)*(-3*i**3 + 2*i**3 - i**3).\nAnswer: 104*i**5 - 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 1010*h**3 + 79*h**2 + 93*h**2 - 1013*h**3 as p*h**3 + d + t*h + v*h**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2430031 (base 6) in base 4?\nAnswer: 133111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (383\/(-1915))\/((-6)\/(-70))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.691*-61548.\nAnswer: -42529.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + 4 + 1 - 2. Suppose 0 = -l*w - 50 + 135. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23344, 46052, 68762, 91474, 114188?\nAnswer: 136904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = 3*z - 3*n, 3*z = -n + 77 - 198. Let w = 41 + z. Is w equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*p = 4*b - 114, -4*b + 73 = 5*p - 8*b - 0*b for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w - 1. Let m(j) = 2*j - 2. Let g(p) = m(p) - x(p). Is 9 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 72 = -2*m + 3*k - 4*k, -m + 4*k + 30256 - 30171 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -14344 and -0.128.\nAnswer: 1836.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 1 = -3*f, -b = -650*f + 652*f + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 20287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8\/3 (b) -0.2 (c) 0 (d) -5.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.7706077 or -2\/13?\nAnswer: -1.7706077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 - 8*q**2 + q - 3. Let x(n) = 3*n - 1. Let w be x(3). Determine m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 18*m**2 - 35*m + 62. Calculate the remainder when k(7) is divided by ((-1)\/1)\/((-4)\/68).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/24)\/(160\/96)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*c**2 + 53*c**2 - 12*c**2 + (0 + 0 + 4*c**2)*(-5 + 1 + 1) - 2*c**2 + c - c.\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 409654986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -15*v - 12. Let w(x) = 9*x + 5. Let r(b) = 4 + 12*b - 11*b - 4. Let f(p) = -3*r(p) + w(p). Let h(c) = 12*f(c) + 5*k(c). Let i(o) = 3*o. Give i(h(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -10*i**3 - i. Let p be a(-1). Let y = p - 35\/3. What is the second biggest value in -1, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*a + 55*a + 6 = 0, 2*a + 2711 = k. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2068562 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 12 = -4*q, 11*q - 6*q + 17 = 2*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -218, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u**4 + 63824*u**3 + 345993408*u**2 + 670648137472*u + 181227120803840 = 0. Calculate u.\nAnswer: -5212, -320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2 + 9*m. Let k be q(9). Suppose 0*a - a + 10 = k. Let i(z) = z**2 - 4. What is the lowest common multiple of a and i(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5\/2, 1\/4, -9, -6\/7, -0.3, 0.065, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 + 7*m**2 - 6*m - 7. Let s be y(5). Let j = s - 13. Suppose 5*l - 15 = 5*k, k - 3 - 1 = j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 5 - 8. Suppose -m*g - 144 = -9*g. Calculate the greatest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 14779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 320 and 1320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l**2 + 10*l + 7. Let q be 3\/(-4)*2*4. Let n be j(q). Let h = 376 - 167. What is the highest common divisor of n and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 7\/3*j - 1\/3*j**3 - 2\/3*j**2 - 4\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 6. Calculate the smallest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:29 PM and 11:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 24 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3 + (2 - 7) - (0 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1132 + -1102200?\nAnswer: -1101024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.9 + 5.98. Put -0.2, -2, 0.1, a in descending order.\nAnswer: 0.1, a, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -27564*b**3 + 17727*b.\nAnswer: -165384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -340904665, -340904669, -340904675, -340904683, -340904693?\nAnswer: -340904705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of 241*v**4\/2 + v**2 - 111*v + 669. Find the first derivative of i(d) wrt d.\nAnswer: 1446*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 - 21 - 17997*z**2 + 1 - 2181*z**2 + 2*z.\nAnswer: -20178*z**2 + 2*z - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 4*u**2 + 6*u - 12. Let y(x) = 5*x**2 + 5*x - 10. Give 6*o(r) - 7*y(r).\nAnswer: -11*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -811277735 rounded to the nearest one million?\nAnswer: -811000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from {o: 3, y: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -4*l + 4. Suppose -32 = 16*w - 13*w - 4*s, 3*w - 3*s + 27 = 0. Put -8, l, w, 4 in increasing order.\nAnswer: -8, w, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: -3*(16 - 9) + 41\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1317 is divided by (-10*(-6)\/8)\/((-37601)\/(-988) - 38).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3782354988.\nAnswer: 2, 3, 4423, 71263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -13, -67, -165, -313, -517, -783, -1117, -1525?\n\"Answer: -q**3 - 16*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1306 - -241. Let m = -598 + i. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 280 and 385.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssn when three letters picked without replacement from xvsnqds?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 3*y**2 - y + 1. Let o be v(1). Suppose 3*a - 38 - 181 = -3*l, 3*l = -a + 67. Suppose -o*c + 7*c = a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 2*c + 10 = 0, -r = -5*r - 3*c - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3126938.\nAnswer: 2, 1563469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*p**4 - 3*p - 2*p**4 + p**3 - 3*p**3 + 3*p**3 to the form w*p**4 + y*p + z + a*p**3 + s*p**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 14012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 250 divide 3683805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 4*g**3 - 21*g**2 - 42*g + 365. What is z(4)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 47908020 by 39990.\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*k + 235 = -127 - 274 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5766889127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -1.208899?\nAnswer: -0.6044495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 - 6*w**2 + 3*w - 8. Let b be p(6). Let s = 13 - b. Solve 3*h - 4*t - 13 = 4*h, s*t = 2*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -278*o + 872078 = -1603795 - 3565067. What are the prime factors of o?\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 4*d**2. Let h(z) be the second derivative of 2*z + 0 + 1\/2*z**3 + 0*z**2. What is h(m(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -62.999885 + 63. Round s to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -2*r**2. Let w be -1 - -2 - 1 - -3. Suppose w*z + f - 5 = -z, 0 = -5*z - f + 7. Let c(o) = 0*o**z - 5*o**2 + 3*o**2. What is g(c(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 105156246 or 105156247?\nAnswer: 105156247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -114, -115, -110, -93, -58, 1, 90?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -3*i - 4. Find the second derivative of -26*n - 23*n + 12*n - 13*n**i wrt n.\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 434 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum -10010 and -6.\nAnswer: -10016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -123 divided by -3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 AM and 7:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -9 (base 16) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*v**2 + 22*v**2 + 78*v - 342*v - 365*v - 310*v - 42*v**2.\nAnswer: v**2 - 939*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 6:59 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 2*r**2 - r + r. Let u(s) = 4*s + 3. Let c(a) = 2 + 7 + 5*a - 5. Let o(d) = -3*c(d) + 4*u(d). What is f(o(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (43 - 9 - 2) + -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2*p + 1819 = -7, -2*y - 2*p + 1234 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8317 is divided by 4144.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*x**4 + 165*x**2 - 3*x**4 + 4*x**2 + (x - 6*x + 2*x)*(-2*x**3 - 2*x**3 + 3*x**3).\nAnswer: 6*x**4 + 169*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x - 4. Let y be q(-4). Suppose y = 3*p - 17 + 5. Solve 2*j + 6 - p = -3*w, -3*j + 2*w = -23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -22 + 23 + (-10)\/(-8). What is the third smallest value in -1, t, -2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) -278 (d) -0.5 (e) -5 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(204)*5 - sqrt(204) - 4*-4*sqrt(204))\/(-1*(-2*sqrt(12)*3 + ((sqrt(144)*-1 - sqrt(144)) + sqrt(144))\/sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 583*k*u**5 - 96*k*u**4 - 1904*k*u + 2*k - 9*u + 2 wrt u?\nAnswer: 11660*k*u**3 - 1152*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -6074482424995 + 0.3?\nAnswer: -6074482424994.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*q = -16*q + 1. Is 20\/13 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 332 + 112?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 1.4\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31032 + 0?\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -4*x - 2*g, 37 = -3*x + x + g. Is x < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/3)\/h)**33)**(2\/17) assuming h is positive.\nAnswer: h**(-110\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 minus 576128420?\nAnswer: -576128425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 2*g - 41. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + -1*sqrt(288))*-6 + sqrt(18)\/(4*(sqrt(36) - sqrt(9))))**2.\nAnswer: 70225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 3091.\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 208\/15? (a) -4\/3 (b) 0.5 (c) -32 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -20 + -344?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 - 23*u**2 + 2*u - 4. Let l be o(24). Let p = -403 + l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -0.07 (c) -2\/5 (d) -2789204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -113*u - u**2 - 19 + 95*u - 2*u**2 - 52*u. Let a be l(-23). What is the highest common divisor of 9 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (50 - (57 - -24))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/91 and -1\/5616.\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 72412354 and 2222.\nAnswer: 796535894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -444*i*w**6 + 351151*i*w**3 - 71*i*w**2 + 212*i*w - 6*i - 288*w**2 wrt w?\nAnswer: -53280*i*w**3 + 2106906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 3030 and 7.\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 75984 and 960.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1065 a factor of 158446440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2 + -2 + (2 - 6 - -9) + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 15033442 and 15033439 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -7*p + 2*p**3 - 4 - 3*p**3 - 3*p**2 - 4*p**2. Let z be k(-6). Find v, given that -z*v - 3 - v**4 + 2 + 2*v**3 + 2*v**4 + 0*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -1. Which is the second biggest value? (a) o (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(14\/21)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**25\/(p*(p\/(p*p**(-26)))\/p)*((p\/(p\/(p**(-14)*p)))\/p*p)**(-10) assuming p is positive.\nAnswer: p**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -791 bigger than -799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-102)\/(-153))\/(2\/15) - 19. Let j be 1\/18 + 7\/p. Let g = -557\/4 - -140. Which is the fourth smallest value? (a) -1\/4 (b) j (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 3*h - 3. Suppose -6*a + 8 + 4 = 0. Let y be r(a). Suppose 7*p - 25 = 2*p + 3*j, 4*p - y = -j. Calculate the highest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1901 - -0.1901. Which is the closest to s? (a) -43 (b) 0.4 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 4*c - 16 = 0, 1421*c - 1424*c = 3*z - 10 - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 0*x = -x + 3*x + 32, 17*q + 263914 = -4*x + 264268 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*u**3 + 238*u**3 - 172*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97 + 105 - (106 + (-7 - 5)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 4*p**2 - 4*p - 3. Let q(k) = 5*k**2 - 4*k - 4. Let r(g) = -10 - 1 + 0*g + 14*g**2 - 3 - 2*g**3 - 11*g + 2*g. Let j be r(6). What is j*t(n) - 3*q(n)?\nAnswer: n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**2 - 6*r + 5. Let y be c(6). Let i(s) = 5*s - 114. Let p be i(24). Suppose p - y = f. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 + 15*w - 25. Let u be j(7). Suppose -8*r + u + 1 = 0. Solve -3*s + 8 = 2*d, -s = 3*d - r - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/8*(-10)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-1516)\/(-1190) - 396\/308)\/(2\/(-10))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 5*n + 18 = 0, 29*a = 28*a - 4*n. What is the lowest common multiple of a and 155?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 4 = 6. Suppose g = 2*c - 31. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 3*d**2 + 228*d + 905. Let y = 799 - 473. What is the remainder when y is divided by v(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2796 = 4*y - 41*u + 1837, 46 = -2*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36271494 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 - 3*o + 5. Let i(r) = -r**3 + 9*r**2 + r - 13. Let x be i(9). Let y be l(x). What is the first derivative of 2*q - 3*q**2 - 2*q + y + 1 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 5*s**2 - 8*s + 4. Suppose 10 = -3*h - 2*u, 7*u = 2*h + 12*u + 25. Give q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5787 divide 646489778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -214 = -2*j - 2*i, 7*j + i - 323 = 4*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -3\/2 (c) -85 (d) -1040676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*r - g = 625, 9558*r - 3*g = 9557*r + 15 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {d: 1, g: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6160 and 200368.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1\/3, -3, 5, 76?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d**2\/7 - 6048*d - 5354500\/7 = 0. Calculate d.\nAnswer: -125, 10709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 95357881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 3*m - m + 11 = 0, 3*b - 3 = 3*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25\/7 - 27\/7. Let u(z) = 2*z**2 - 6*z - 4. Let f(c) = -c**3 - 5*c**2 - 3*c + 7. Let y be f(-4). Let g be u(y). Sort g, w, -1 in ascending order.\nAnswer: g, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -311020 + 11?\nAnswer: -311003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3877?\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + -51. Let l = 609 - k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24 and 592?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -57 - 2982\/(-42) - (-29 + -5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 9:49 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**3 - 3*p**2 + 2*p + 2. Let q be o(2). Let f be 1\/1 + (3 - q). Let h be (12\/(-8))\/((-1)\/f). Solve -h*i - 2*i = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of -i**9\/252 - 37*i**7\/70 + 104*i**5\/15 - 92*i**2. What is the third derivative of q(z) wrt z?\nAnswer: -240*z**3 - 2664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-15)\/(-35) - 3\/7. What is the nearest to 0 in -2, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1398*j - 1399*j - 1395*j + 5593*j - 1400*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 + 15*j**2 - 5*j - 18. Let x(r) = r**2 - r - 1. Let v(g) = d(g) - 5*x(g). Determine v(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(1\/25)\/(g**8\/g) assuming g is positive.\nAnswer: g**(-174\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -7*v - 9 - 5\/2*v**2. Find the first derivative of a(r) wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -249, 5, -670 in descending order.\nAnswer: 5, -249, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 24279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -9427214, -9427196, -9427176, -9427154?\n\"Answer: h**2 + 15*h - 9427230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3621555 + 3621555 - 10156*h**2.\nAnswer: -10156*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z**2 - 2*z - 1. Let y be c(-2). Calculate the remainder when 34 is divided by 6\/y - (-174)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -0*f + 1, 2*f = -5*q + 13. Let t(n) = -n**2 + 9*n - 12. Let p be t(7). Solve -13 = -p*d - q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 92.21553mm?\nAnswer: 92215.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.6 (b) 1\/16 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -86863*z**2 + 28952*z**2 + 941*z**3 - 933*z**3 + 28955*z**2 + 28956*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -7*b**2 + 70. Let t(m) = -9*m. Determine g(t(w)).\nAnswer: -567*w**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 85.832 - 86. Let t = -0.068 - p. Which is the nearest to t? (a) -7 (b) 0.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eszeueseuss. Give prob of picking 1 e and 2 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of h**4\/4 - 2*h**3 - 3*h**2\/2 - 4*h + 4. What is the remainder when t(7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10296 - 10299. Put -2, -0.2, -475, -4, r in decreasing order.\nAnswer: -0.2, -2, r, -4, -475","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.19 and 0.1?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3, -5, -7, -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1\/7 - 24688\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from hhqqqqhhqhhqh?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(363)*-1*1 - (sqrt(363) + 0 + sqrt(363)*2)) + 4 + 4.\nAnswer: -44*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7782 - 3.\nAnswer: 7779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 178435 divided by 5.\nAnswer: 35687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 214970 is divided by 853?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 5*r + r - 4*r - 6*r**2 - r**2. Let t(o) = -o**2. Determine -p(y) + 4*t(y).\nAnswer: 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (146\/3066)\/((-4)\/14). Let p = -0.1 - 0. Which is the third smallest value? (a) w (b) 0.1 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 146329 and 11567.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1181400 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34.636 + -0.036. Let z = -40 + l. Let r = z + 5.442. What is r rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(448))**2 + ((sqrt(56) + sqrt(504))\/sqrt(8))**2.\nAnswer: 32*sqrt(7) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 15 = -5*w, 430 - 424 = -2*v - 2*w. Solve -3*z - 4*g + 71 = 67, -z - 2*g + 2 = v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 0 - 2\/7*n**4 - 6\/7*n**3 + 2\/7*n**2 + 6\/7*n = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 5*w + 10. Let y be o(4). Suppose 469*c - y = 463*c. Let p(b) = -4*b**2 + b + 2. Let n(z) = -9*z**2 + 3*z + 5. Determine c*p(i) - 2*n(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {u: 1, v: 1, e: 1, w: 3, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 212 + -343. Let o = b + 130.999929. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -8, -3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -3*q + 2. Suppose q*y + 0*y = 6. Let v = y + 1. Let r(k) = k**3 - 4*k**2 + 2*k - 4. What is r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*q - 528 = 21*q + 37*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -18*u - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -657 - 647 - 1315 = 72*h + 45 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*f**4*p + 46941*f**4 - 2*f**2*p - 95*f**2 - 150*f*p - 1 wrt f.\nAnswer: 72*f*p + 1126584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -95309.2971 - -95303. Let o = 1.6 + -7.9. Let p = o - r. Round p to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22598 + 2675. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -545.820726 rounded to two dps?\nAnswer: -545.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 9 + 12 = 0. Let u(v) = 3*v. Let q(g) = 2*g. Let i(b) = -4*q(b) + 3*u(b). Let p(s) = 3*s. Calculate o*p(y) + 2*i(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -5*k - 3*l, 4 = -4*k - l - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 30384844 by -37.\nAnswer: -821212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 + 5. Let z = 0.5 - 0.23. Let x = -0.37 + z. Which is the nearest to x? (a) u (b) 1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 2*r + 3 = x, x = 5*r + 35. Suppose 2430 - 24570 = -62*b - 61*b. Calculate the greatest common divisor of b and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -9*q**2 - 4*q + 9. Let b(z) = 4*z**2 + 2*z - 4. Let o(j) = -j + 8. Let a be o(13). What is a*b(t) - 2*x(t)?\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 130703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 16 = 0, -2*w + c - 6*c = -442. Let p = -123 + w. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -22894, -45802, -68710?\n\"Answer: -22908*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10895 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: Let a(g) = -2*g + 5. Let l(d) = d - 2. Let m(f) = 3*a(f) + 5*l(f). Let v be m(0). Let p(w) = w + 2. Let y(o) = 2*o + 5. What is v*p(c) - 2*y(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 5*(sqrt(1377)*3)**2 + 4 + 2 + sqrt(1377) + sqrt(1377) + -2 + 2.\nAnswer: 18*sqrt(17) + 61973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 + 4*z**2 + 6*z - 24. Let m be n(6). Let x = m + 61. What is the smallest common multiple of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2491, -2576, -2717, -2914, -3167, -3476, -3841?\n\"Answer: -28*r**2 - r - 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1331904592 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 57.6 - 30.6. Which is the second smallest value? (a) 0.3 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -127\/411 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.062 - 24.938. Let m = 21 + o. Let f be ((-14)\/231)\/((-1)\/(-3)). Sort 5, f, 1\/8, m in decreasing order.\nAnswer: 5, 1\/8, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -140 and 0.2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of -1141*o**4 - 51*o**2\/2 + 8*o - 1592. Find the second derivative of k(l) wrt l.\nAnswer: -27384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2080 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 + 3*c. Let y = 15 + -13. Let u(w) = -w**2 - 2*w. Determine y*k(j) + 3*u(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 - 7*k + 21. Let f be d(-9). Solve f*z = v + 11, 0 = -4*z + 5*z - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhvhvhv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36238940?\nAnswer: 2, 5, 821, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -11*p + 167. Let b be o(15). Suppose 0 = 5*j + 3*s - 1179, b*j - s = -0*j + 465. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m = -5*f - 26, 5*f + 6*m - m = -30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000669308 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 345*f**2\/11 - 353678*f\/11 + 54325\/11 = 0. Calculate f.\nAnswer: 53\/345, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5102 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -27c903 + 9?\nAnswer: -27c8e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 27 (base 8) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m - 1 + 4 - 4. Is 7 a factor of q(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 3*h - 3. Let z(x) = -x - 1. Let o(f) = 5*b(f) - 15*z(f). Let c(y) = y + 3*y + 2*y - 5*y. Calculate c(o(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.18 + -1.22. Let k = -0.15 + -0.95. Let j = 1 + k. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 236, 227, 204, 161, 92, -9?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = 4*g - 11510, 4*g - 7*g + 8640 = y. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 667527262.\nAnswer: 2, 53, 157, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/6*-56*36\/(-384)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3611 - 1092. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 0, -1468, 1\/33, 4 in ascending order.\nAnswer: -1468, 0, 1\/33, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -25203 (b) 2\/19 (c) -4\/21 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n - 5*h = 2*n - 165, 2*h + 99 = 24*n - 17*n + 5*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -144 + 145. Let b(k) = -8*k**2 - 2*k + 1. What is b(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, -2\/17, 23, -6, -1\/6, -35?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*z - 428 - 112 = 0. What is the remainder when 1\/5 - 318\/(-10) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2779 - -2778.8683. What is y rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**4\/5 - 16752*r**3\/5 - 692884*r**2 - 2048520*r = 0 for r.\nAnswer: -3970, -215, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/9*f**3 + 2\/3*f - 2\/9 - 2\/3*f**2.\nAnswer: 2*(f - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 753684 and 458292?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -74 - (-19 + 31 + -3 + -3 + 1 - -2)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(847) + 2 + sqrt(847))**2 - ((sqrt(847) + -2 + -1*sqrt(847))**2 + sqrt(847)).\nAnswer: -99*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4530696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -4590 by -4.\nAnswer: 2295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -45*a**3 + 2*a**2 + a. Let k be z(-1). Suppose 49 = -5*d - i, 4*d + 5*i = 11 - k. Is 22\/5 + 4\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63*l**2 + 28*l**2 + 27*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/(-12) + (-5)\/(160\/(-2339304)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeepewwiepwie. Give prob of picking 1 i and 1 p.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.4, 5, -2, -3, -0.92?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9 - (1 - -1)\/1. Suppose 12 = -3*a - a. Let n be -3 - (6\/a - 4). Solve -n*x - 2*x = 3*s, -2*s - x = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o**2 + 14076*o - 98336 = 0 for o.\nAnswer: 7, 3512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2\/1877 - -1889\/11262. Factor 1\/2*n + 0 - 2\/3*n**2 + y*n**3.\nAnswer: n*(n - 3)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 100 - 75 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 602121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 99 + -99. Which is the second smallest value? (a) f (b) -4\/11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 8, w: 2, q: 9}. What is prob of picking 1 w, 1 q, and 2 h?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*c - 301 = c, 4*v - 336 = -4*c. Let d = v + -74. Suppose t = -0*t + d. Solve -t*s = -6 - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 137516381663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*y - 7. Suppose y*s = 4*s - 28. Suppose 4*u + 6 = -m + s, 2*u + 5*m - 4 = 0. Put 4, -3\/2, u in ascending order.\nAnswer: -3\/2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**3 - 9015*h - 31 + 211 + 8925*h + 2*h**3 with respect to h.\nAnswer: 9*h**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3240125*v**5 - 6496350*v**4 - 3272345*v**3 - 16140*v**2 - 20*v.\nAnswer: -5*v*(v + 1)**2*(805*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -38908691 - -38908618.000031. Let n = k + 73. What is n rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*u**2 - 131*u**2 - 10*u**2)*(11*u**2 + 6 - 6).\nAnswer: -1705*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1865488*t**2 - 4041839 with respect to t.\nAnswer: -3730976*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 604655498.\nAnswer: 2, 83, 89, 40927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -5, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2555191\/3794 + 4714\/7. Calculate the common denominator of h and -37\/2.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -2010, 3, -10, 0 in descending order.\nAnswer: 5, 3, 0, -3, -10, -2010","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Solve 9*q - 225 = 2*f + f, -3*f + 18*q - 225 = 0 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 232, -1\/12, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = 5*s + 1, -6 = 2*x - 0*s - 5*s. Suppose 3*n = -2*r + 22, n = -2*r + 7 + x. Let j(o) = o**2 - 2*o - 5. Give j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2521332 and 248292?\nAnswer: 1580875164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -23481109.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2414697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*v = -105 - 168 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3\/2 - 87703*t**2\/2 - 175409*t\/2 - 87705\/2.\nAnswer: (t - 87705)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/22 (b) 2 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 29*k - 279. Calculate n(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 356 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 2718688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 4, 3935?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/40*76\/(-266)*(-10)\/2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10750 and 5740500.\nAnswer: 5740500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -5*o - 4, o + 6*u - 1 = 5*u. Solve o = 4*j - 15*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 93377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -21*t**3 - t**2 + 1. Let d = 106 - 66. What is the remainder when d is divided by r(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -2 + 5\/6*q**3 + 4*q - 1\/2*q**2 + 1\/12*q**4. Let z(b) be the first derivative of l(b). Calculate z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, 20, 0, 0.3, -0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8445?\nAnswer: 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 - 3*g - 6. Let h be o(5). Let t = 23350 + -17882. Suppose h*n - t = -0*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5086 + -5083. What is the second smallest value in q, 13, 0.13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -221 = -190*z + 159 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1044 - -1142133?\nAnswer: 1143232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.7 - 1. Let p = 9 - 15\/2. What is the third biggest value in l, 1\/2, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 + -11. Factor a**2 + a**3 + 2*a**k - a - 2*a**4 - a**2.\nAnswer: -a*(a - 1)*(a + 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -1044613?\nAnswer: 3\/1044613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-32)*-1)\/(35\/(-20)) + (-3932)\/13762.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.09? (a) 1 (b) 4 (c) -10 (d) 0.8413\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1115, -2232, -3349, -4466?\n\"Answer: -1117*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -117.4904 rounded to one dp?\nAnswer: -117.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*a - 13 + 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 530, 1055, 1580, 2105?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 8. Let a(r) = 3*r**3 + 15. Let h(n) = 3*a(n) - 5*l(n). What is the first derivative of h(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 77330 divided by -5.\nAnswer: -15466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 61 + 164 = 0. What is the lowest common multiple of 3 and p?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2215 - 2257 = 50*x - 3*i, -4*i - 159 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 4839400*x - 29*x**2 + 4839400*x - 3.\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -11*z - 6. Let n(j) = 20*j + 9. Let v(m) = -5*g(m) - 3*n(m). Let x be (1 + -2)\/(10\/50). Calculate v(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7563, -14583, -21067, -27021, -32451, -37363, -41763?\nAnswer: -45657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -42190080 divided by -6\nAnswer: 7031680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 91907056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/23)\/((-24)\/(-8)). Let n = 298 - 297. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 72074 + -32401. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8393 and 18403?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-37)\/(-4))\/((-35)\/(-9380)). Calculate the greatest common divisor of 37 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 282114161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.657 and -4737353.\nAnswer: -4737351.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.9 - -43.9. Let j = b - 36. Which is smaller: -0.4 or j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 134563 and 8437?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -27 - 3*m**2 + 26 + 0*m**2 + 2*m**2 + m. Let s(x) = 6*x**2 - 5*x + 2. Determine -s(n) - 4*u(n).\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 2*h**2 - h - 5. Let t be m(4). Let o(b) = -39*b + 342. Let g be o(7). Calculate the highest common factor of t and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*c**2 + 11*c**3 - 8*c**2 - 2*c**4 - c - 4*c**2 - 4*c**2 + 17*c**3 to b*c**4 + w + m*c**2 + p*c + z*c**3 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5 + (-7 - (-3 - 0) - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 882, -74, -77, 4 in ascending order.\nAnswer: -77, -74, 4, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9346 or -65418\/7?\nAnswer: -65418\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d - 5. Let f be 1\/(-2) + 14\/(-4). Let z(y) = -3*y + 6. Determine f*z(k) - 5*v(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-4))\/((945\/50)\/(-21)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from vvnpxpnvvvvvsv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 160*h**3 + 175*h**3 - 119*h**3.\nAnswer: 216*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.507 + 3.023. Let l = o + -0.53. Which is the third smallest value? (a) -0.3 (b) -1\/5 (c) l (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-16)\/(t\/(t\/t**(-10))*t*t) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + -33112332?\nAnswer: -33112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5935 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 70, -5, -2, 155, 5, 1.\nAnswer: -5, -2, 1, 5, 70, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(80)*-2*2 - (sqrt(80) + -1*sqrt(80) + 5 + sqrt(80)))**2 + (-5*(sqrt(80) - (5 + sqrt(80)*2)))**2)*5.\nAnswer: 6000*sqrt(5) + 23250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*n**2 + 5*n**2 - 4*n**2 + 2*n**3 in the form g*n**2 + x*n + r + j*n**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.6 - -145.95926.\nAnswer: 150.55926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 PM and 1:51 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(198\/(-8))*-13 - (16 + -20).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 4 + 4 + 2*r - 8. Let a(z) be the first derivative of -5 + 0*z**2 + 4\/3*z**3 + 0*z. Determine a(x(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2188 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/14 (b) -6\/11 (c) 3 (d) 1 (e) -56 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + 5\/(-2))*0. Let k = z - -5. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 29\/3? (a) -3 (b) -0.4 (c) -1\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -66b3a (base 12) in base 9?\nAnswer: -227111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11202595?\nAnswer: 5, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -4*q**2 + 30. Let f(y) = -980907*y**2. Determine g(f(j)).\nAnswer: -3848714170596*j**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the second derivative of -7*m**6\/10 + 3*m**2\/2 + m - 34. Differentiate g(f) wrt f.\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -13353453542?\nAnswer: -13353453544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 157895 less than 3000002\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/(-483))\/(2756\/9646)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -153393, -153377, -153353, -153321, -153281?\n\"Answer: 4*v**2 + 4*v - 153401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 6, 19, 44, 81, 130, 191?\n\"Answer: 6*m**2 - 5*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g**2 - 13*g - 5. Let f be r(-9). Let u = f - -24. Let c = -27 - u. Is c smaller than 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 3*z - 72, -57 - 84 = 5*l + 2*z. Let u = 382 - 409. Let s = u - l. Solve s = 3*x - 3, -1 = 4*y + 4*x + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 2*q = c, 2*c = 8. Suppose 0 = -3*x + q*s + 849, x - 115 = -4*s + 168. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of 0*j**2 + 0*j**4 + 1\/6*j**3 + 0*j**5 - 2\/21*j**7 + 0 + 0*j**6 + 2*j. Find the second derivative of x(n) wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*2*(-2)\/(-44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bkbbk. Give prob of picking 3 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-16)\/20 + 1)\/(-1). Let t = 1.1 - 1.1. Let m = -0.1 + t. What is the biggest value in 2\/9, m, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -15*p**3 + 3*p**4 - 5*p**5 - 24*p**3 + 36*p**3 + (-3*p**3 - 6 + 6)*(-4*p**2 - p**2 + 4*p**2).\nAnswer: -2*p**5 + 3*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*k - 10*k + 210 = 5*t, -3*k = -2*t + 84. Solve -4*n - 24 = -4*h, 2*n + 20 = t*h - 38*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 12:52 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p*p**(1\/32)))\/p)\/(p**(-3\/4)\/p)*(p**13\/p)\/(p*p**(-12\/7)*p) assuming p is positive.\nAnswer: p**(2785\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 706 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(77) - (sqrt(77)*1 + sqrt(77))*-2 - sqrt(77) - (-6*(sqrt(77)*-1 - sqrt(77)) + sqrt(77)))*-5)\/(sqrt(275)*4 - (-1*sqrt(99))\/sqrt(9)))**2.\nAnswer: 225\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + (sqrt(162) - 2*sqrt(162)*-6)))*-4)\/(1*(sqrt(63)\/sqrt(7) - sqrt(9)) + sqrt(9) + 2*sqrt(81)).\nAnswer: 156*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6573*x**2 - 6239*x**2 - 6580*x**2 + 19370*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -471*t + 4511. What is z(11)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 13) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j - 5*a + 10, 5*j - 2*a = -0*a + 10. Suppose 4*s = 0, 0*c = 5*c + 4*s + 10. Sort j, 5, c.\nAnswer: c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6836 and 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-48)\/(-20))\/(9\/60). Suppose 2*a - 2 = -b. Let n = -3 - a. Solve -n*f + 2*y + 6 = -3*f, 4*f = -4*y - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 257\/(-3)*((-33)\/(-56))\/11. Let m = z + 39\/8. What is f in 0 + 3\/7*f**3 + 0*f**2 + m*f**4 - 1\/7*f = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32 + 15. Let k = 23.9280855 - 6.928082. Let x = k + m. Round x to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of i**5\/60 + i**4\/4 + 2*i**3\/3 - 6*i**2 - i. Let f(w) be the first derivative of h(w). What is f(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25\/10*(-20)\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/3857 and -151\/16530.\nAnswer: 115710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -6*j**2 - 3*j - 6. Let o(a) = -2*a**2 - a - 2. Let h = 117 - 121. Let l be ((-9)\/6 + -4)*-2. Give h*y(f) + l*o(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -z**4 + z**4 + 4*z**2 + 7*z**5 - 2*z**2 wrt z?\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(6\/11))**(-19) assuming i is positive.\nAnswer: i**(-114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 120 + -365\/3. Let h = 697.19 + -704. Let k = h - -3.81. Which is the smallest value? (a) -2 (b) k (c) 2\/19 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10 - -13. Let t be 8\/20*5 - 2. Solve v*s = -t*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -27*m**4\/7 + 3706767*m**3\/7 + 1235595*m**2\/7 - 411863*m\/7 - 137288\/7 = 0. Calculate m.\nAnswer: -1\/3, 1\/3, 137288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - ((73 - -11) + -121).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 235*x**3 + 500*x + 89*x**2 + 427*x**4 - 432*x**4 + 560*x**2 + 91*x**2 = 0. Calculate x.\nAnswer: -2, -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a - 7*a - 2*x + 183 = 0, -28 = 22*a - x + 181 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -5, -437, -3, 31 in descending order.\nAnswer: 31, -3, -5, -9, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 3*x - 2. Let p(r) = -543*r - 3. Give -2*n(o) + p(o).\nAnswer: -549*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4075 - 4057. What is the highest common factor of t and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*y**2 - y**2 + 45*y**2 - 25*y**2.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 52*i - 5. Let x(g) = -258*g + 24. Calculate -14*b(y) - 3*x(y).\nAnswer: 46*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -28522587, -28522597, -28522621, -28522665, -28522735, -28522837, -28522977?\n\"Answer: -m**3 - m**2 - 28522585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.3 (b) 367 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -6704059, -6704056, -6704053?\n\"Answer: 3*l - 6704062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the second derivative of 2195*k**4\/12 + 4*k**3\/3 - 18*k**2 + 6*k. Let d be g(-18). Suppose q = -2*q + d. What is q rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -10678034.961 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2 - 17*c - 14. Let o be l(-16). Suppose o*v - 60 = -2*j + 10, 157 = 5*j - v. Let z = 401 + -397. Calculate the greatest common factor of z and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -94\/2569 - 113081\/3719912. Calculate the common denominator of 101\/3982 and y.\nAnswer: 15928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*(16\/56)\/((-8)\/4). Which is the nearest to 2? (a) -0.4 (b) -0.1 (c) w (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1896 + 2160. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -638 by 2.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4152 + 4188. What is the highest common factor of 1746 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-600)\/(-88) - ((-4)\/22)\/1. Suppose 23 = y*f + 23. Suppose n = -f*n + 514. 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) -5\/34 (b) 5\/24 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 + 23. Let r(p) = -f + 5*p - 3*p - 2*p - 2*p. Let b be 2\/(-4)*(-4 - -17 - 5). Calculate r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/3*j**3 + 1\/3*j**4 + 0 - 1\/3*j**2 + 1\/3*j**5 + 0*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1886544 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 7*u - 73. Let f be w(29). Let y = f + -130. Which is the third smallest value? (a) 0.5 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -34*w**2 + 136*w + 3. Let q be f(4). Which is bigger: 15 or q?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 2064?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 3*n + 100, -2*k - 3*n - 6 + 38 = 0. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -26726b0 (base 12) to base 16\nAnswer: -743064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -5*r, 4*j - 31 = 5*r - 56 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 84 - 83. Solve -3*d = -l - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2881739 divided by 8?\nAnswer: -2881739\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -0.2 (b) 1 (c) -19\/2 (d) 0.33 (e) 2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3158 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -1, 337, -2, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -5*z**2 + 2*z + 1. Let j(r) = 2*r + 1. Let m be j(-1). Let o be k(m). Let q(y) = y**2 + 5*y + 8. What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5 and 13 + (-6)\/9*(-6)\/(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-12))\/(8\/64) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, 3, 4, 13\/12, 0.03, 3\/7 in descending order.\nAnswer: 4, 3, 13\/12, 3\/7, 2\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -3*j**2 + 6*j + 99. Give n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mug when three letters picked without replacement from eeuetdugmueu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 155*a + a**3 - 25*a + 62*a + 81*a + 11*a.\nAnswer: a**3 + 284*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.04 + -0.34. Let t = r + -4.6. Let u = 5 + t. Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of -4*l**3 + 5*l**3 - 2 - l - 9*l**2 + 9*l**2. Is t(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/29)*w*w\/w**17*w*w)**(-2\/29) assuming w is positive.\nAnswer: w**(750\/841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x = 4*h - 8*x - 10, -x = -h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 11*d. Let w(z) = -21*z. Let x(b) = -9*o(b) - 5*w(b). Let a(i) be the first derivative of -i**2 - 8. Give x(a(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -263*k - 116*k - 648*k as f + j*k and give j.\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/(c*c**(-5\/3)))\/c*c\/(c*(c*(c**(2\/11)\/c*c)\/c*c)\/c)*(c**(-8)*c)\/(c\/(c**1\/c)))**(2\/37) assuming c is positive.\nAnswer: c**(-430\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -45.8887119 to one dp.\nAnswer: -45.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -181*m - 3419. Calculate k(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b**2 + 2*b**2 - 4*b**2 + (-3 + 2*b**2 + 3)*(-3 - 1 + 3) + 2 - 2 + 2*b**2 + 0 + 0 - 2*b**2 + (2*b - b + b)*(-b + 2 - 2).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 324*u - 8. Let c be o(2). What is the greatest common divisor of 40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 + 2*g - 3. Let f(h) = -3*h**3 - h**2 - 2*h - 2. Let m be f(-1). Let k be p(m). Suppose l = k*l. Solve l = 5*d + 5 + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*n + 15*n = 24. Let k(c) = c**3 - 3*c**2 - 4*c - 1. Let z(p) = 1. Let y(o) = k(o) + 3*z(o). Let m be y(n). Solve -12 = -2*w - m*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**2 + 5*s + 5. Let y be f(6). Let v be y\/(-2) + (-18)\/(-4). Solve 3*b - 4 = v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*s + 1. Suppose -41*j + 86*j - 993 = 897. Calculate the remainder when j is divided by (17 - (1 - s)) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 116, 111, 104, 95, 84, 71, 56?\n\"Answer: -y**2 - 2*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 8*k - 14 = -4*w, -4*w - 3*k + 17 = 0. Suppose w*m = -2*s + 75524, 3*s - 166020 + 52728 = 3*m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2335 and 59776?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6477761.\nAnswer: 67, 109, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and (-3)\/3*10\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -45015*y**4\/4 - 585219*y**3\/2 - 312*y**2 = 0. What is y?\nAnswer: -26, -16\/15005, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o**2 - o**2 + 5*o**2)*(6*o + 6*o - 8*o) as r*o**3 + b + n*o + f*o**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 2*g - 2 = 2*h, 2 = -g - 2*h. Suppose -4*t + 37 + 7 = g. Suppose -3*s - 68 = -329. What is the remainder when s is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 932.9949ug?\nAnswer: 0.0000000009329949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.5221 and 34.\nAnswer: 51.7514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 87906214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9\/55 + -1119\/220. Let f = 109\/20 + u. Let d = 1 + 3. What is the second biggest value in f, d, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.111 and 0.289.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.2 and 518080?\nAnswer: 518079.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, -93 in decreasing order.\nAnswer: -4, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -46*d**3 + 2*d**2 - 33*d - 70. Let u be p(-2). What is the highest common factor of 1178 and u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.3495 and 8.\nAnswer: 10.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l + 5 + 2*l**2 - 5*l + 3*l**2 - 7*l.\nAnswer: 5*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9.1 + -9. Let j = x - 0. What is the biggest value in -1, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/(-7))\/(((136\/(-28))\/(-17))\/(-1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 64*h - 214. Let n be t(3). Let y(q) = -11*q + 31. What is the hundreds digit of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**4\/v*v)*v)\/(((v*v*v**(2\/7))\/v)\/v))**(3\/28) assuming v is positive.\nAnswer: v**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 + 8*a - 15. Let n(l) = -2*l**2 - 15*l + 31. Let p(b) = -3*n(b) - 5*r(b). List the prime factors of p(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 13390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -160 in -3\/5, -5, 2, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 2 = 0, 3*u + 11 = 122*r - 118*r. Put -3, r, -4, -89 in decreasing order.\nAnswer: r, -3, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7899257.\nAnswer: 73, 241, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 136 a factor of 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 16a + -26?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 277828869 smaller than 277828868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -577*w - 438. What are the prime factors of r(-7)?\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 30 - 4. Let m = -16 + q. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/6*-8)\/2. Let k = 7 + -2. Suppose k*x - 1 = 49. Solve x - z = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 57783845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 138194175 and 6?\nAnswer: 276388350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, r: 2, i: 1, t: 1, x: 1}. Give prob of picking 1 i and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/4 or -1\/6260643?\nAnswer: -1\/6260643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*h**2*q**2*t - 4*h**2*q**2 + 205*h**2*q*t**2 - 9*h**2 + 2*q**2*t**2 wrt t.\nAnswer: 410*h**2*q + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -33\/2 - -17. Let y = 5 + -4.7. Let i = -2.3 + y. Which is the second biggest value? (a) j (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1454*z**3 + z**2 - 12*z - 32213.\nAnswer: -4362*z**2 + 2*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in 1\/3, 0.4, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(102)*-3)\/(sqrt(600)*3) + ((sqrt(833) + 1 + sqrt(833))*-2)**2 + ((sqrt(2448) - (sqrt(2448) + 1)) + 0)**2.\nAnswer: 559*sqrt(17)\/5 + 13333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 14*x. Let k(v) = -223*v + 4. Let g(i) = -k(i) - 16*y(i). Let h(s) = 47*s**2. Determine h(g(f)).\nAnswer: 47*f**2 + 376*f + 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 46, 58, 68, 76?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6946 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of u**7\/42 - 118*u**5\/5 - 359*u**4\/4 - u + 860. Find the third derivative of a(v) wrt v.\nAnswer: 60*v**2 - 2832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.48000511 + -0.48. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*q + 31*q + 23*q - 79*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 0 + sqrt(76)\/(sqrt(4)*1))**2 - ((sqrt(2736) + -3)**2 - 4*(sqrt(19) + 4)).\nAnswer: -2694 + 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 15117 divided by -3?\nAnswer: -5039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 p, 1 v, and 1 q when four letters picked without replacement from {b: 1, q: 4, e: 1, p: 5, v: 1}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -3 + 1 - v + v**2 - 4. Let w be t(0). Let o = w - -17. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from pdpppppddpppppj.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 2*s - 10. Let v be i(4). Let k be (-9)\/v*(-36)\/(-54). Suppose -k*t + 312 - 72 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1740382 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*i + 5 - 5)*(-88*i + 197*i + 103*i)*(-i + i - i**2).\nAnswer: 848*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -744146 - 1?\nAnswer: -744147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4692 and 1746597?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 680, -282, 0.4, -0.3, -10 in decreasing order.\nAnswer: 680, 0.4, -0.3, -10, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(4\/5)\/p*p*p*p\/p**(-4)*(p\/(p\/p**6)*p)\/(p**(-3)\/p)*((p**(-1\/3)\/p)**27)**(-32) assuming p is positive.\nAnswer: p**(5849\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xavd when four letters picked without replacement from xxalavlzvlxalaadavl?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 43? (a) -1\/3 (b) 1\/8 (c) 0.05 (d) -8\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/5 in -1371, -0.07, 7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-220)\/35 - -4 - 6\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*i + 88*i**2 - 70*i**2 - 20*i**2 + 5*i**3 + 7*i**3 as s*i**2 + h*i + v + r*i**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 26 and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -871*n*s**3 + 1526*n*s - 1230*s**4 - 1000*s**2 wrt s.\nAnswer: -5226*n - 29520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**3 - 6450*o**2 + 12915*o - 6460.\nAnswer: -5*(o - 1)**2*(o + 1292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 184 and 10?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 11*b + 7. Determine g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of -1\/10*p**5 - 45*p - 9\/2*p**2 + 0 - 17\/6*p**3 - 3\/4*p**4. Let c(n) = n**3 + 4*n**2 + 8*n + 4. Determine 9*c(k) + 4*y(k).\nAnswer: k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-62) + 18\/279. Solve 16*q - 12 - 36 = w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14965 - 14965.23687. Let j = -0.239 - t. Round j to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/2*(-31 - -1)*14\/126. Let j(m) = -2*m**2 + 5*m - 9. Let h(w) = -w**2 + 3*w - 4. Calculate y*h(r) - 3*j(r).\nAnswer: r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.33 + -2.67. Let p = -37 - -41. Let v = -2 + p. What is the third smallest value in d, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-280)\/24 + 10)*6\/(-10). What are the prime factors of (o\/(-2))\/(34238\/(-3804) + 9)?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1089234.\nAnswer: 2, 3, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 6*t - 3. Let m(w) = -6*w + 2. Let b(o) = 3*h(o) + 4*m(o). Let r be b(7). Let c = r + 51. Solve 2*x = -c, 3*x + 8 = 4*z + x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 26*r**2 - 16*r - 90. Is 64 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17.513 + -17.504709. Round t to 4 dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tty when three letters picked without replacement from {y: 6, u: 5, e: 1, t: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1152*f**3 - 725*f**3 - 437*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (54 + 11 + -44 - 18) + 1 + -6 - 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4861*n - 10519*n - 21*n - 4207*n.\nAnswer: -19608*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7605.1645 - -8175.163786. Let l = 570 - y. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -138*p - 204*p + 3762. What is the remainder when 5210 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.61211338 rounded to 2 decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 0. Suppose v*j = -5*i + 108 + 42, -4*i = j - 132. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 1603*u - 23165. Calculate t(12).\nAnswer: -3929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do 4849 and 4545 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -79*d + 311 = -242 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -408*m**2 - 1. Let g(q) = -3*q**2. Give g(t(r)).\nAnswer: -499392*r**4 - 2448*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 7410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1065394?\nAnswer: 2, 11, 79, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - g - 14, -b + 5*b = -g + 10. Suppose -2*y = -5*k + 47, y = -b*k - 3*y + 49. Suppose z = 2 + k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2944331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes before 2:53 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 8*h**3 + h**2 + h - 1. Let r(j) = j**3 - 18*j**2 + 16*j + 21. Let m be r(17). Suppose m*i = -149 - 27. Let o = i - -45. Calculate n(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/(-10))\/((-1)\/(-5)). Suppose 2*t = 5*w - 2*w + 24, -4*t - f*w + 84 = 0. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 19*a + 19*a - 39*a. Let d(x) = 15*x. Determine d(w(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 601 >= 695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -545741.741 rounded to the nearest 10?\nAnswer: -545740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 311, 1271, 2891, 5183, 8159, 11831, 16211?\n\"Answer: 2*u**3 + 318*u**2 - 8*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/2? (a) -5 (b) 0 (c) 15 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1\/20721 + 495001\/13814. Let w = r - 36. Let v = 61\/5 - 12. Which is the third smallest value? (a) v (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 75*c**3 - 76*c**3 + 25*c + 2 - 85*c in the form w*c + k*c**3 + f + g*c**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*v**2 + 2948485*v + 737120.\nAnswer: 5*(v + 147424)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 5. Suppose 0 = -2*h - f. Is h*(-26)\/(2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*i**3 - 10*i**3 + 2*i**2 + 13 - i**4 - i**2 to the form u*i**3 + r*i + a*i**4 + q*i**2 + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.9 + 2.1. Let u = 7.16 + -0.16. Let t = u - h. What is the smallest value in t, 2, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 42741 - 2949181\/69. What is the common denominator of p and 48\/5?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-2))\/(-9)*((-720)\/(-224))\/(-15).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -174, -1282, -4288, -10140, -19786, -34174, -54252?\n\"Answer: -158*p**3 - p**2 + p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -18624360 divided by -120\nAnswer: 155203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 9*r**2. Let t(l) = -8918988*l**2. What is c(t(j))?\nAnswer: 715935122497296*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -274736 - 5?\nAnswer: -274743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 19972801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v + v + 2*v + (9 + 5*v + 6*v - 10*v)*(-5 - 13 + 2).\nAnswer: -15*v - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -389 in 4, 1, 9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**3 - 7*h**2 - 6*h - 8. What is the tens digit of g(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 0*g = -4*i + 38, 3*i - 6 = -g. Let p = 205 + g. What is the greatest common divisor of p and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(2448) + (0 + sqrt(2448))**2 + 3)*3 - (2 + 3*(-2 + sqrt(2448)))).\nAnswer: 7353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 10:41 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000034841 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 3*o - 15, 1 = 3*b + o - 4. Let r be b + (-12)\/3 + 4. Is 0 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -68 + 59. Let o(i) = -8*i + 17. Let v(q) = 2*q - 4. Suppose 3*x = 4*x + 2. Determine g*v(f) + x*o(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 - (-11)\/6) + 232\/(-48). What is the closest to p in 3\/4, 1, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 18\/41, 2\/5, 4, -0.2 in decreasing order.\nAnswer: 4, 18\/41, 2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -25 or -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4117 - -6192. List the prime factors of m.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*2*sqrt(13) + (sqrt(26)\/(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2))) - sqrt(13)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 459 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -181 divided by -168107.\nAnswer: 181\/168107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 181\/5346840 and 23\/15726.\nAnswer: 5346840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3757 - 3745. Suppose -2*u = u - 6. Solve -u*r = -3*r + 2, -k = o - 5*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -75 - 4b?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 689 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, x: 16, s: 1}. What is prob of sequence us?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = o, 0 = -4*p + 5*o - 8 + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/1541 + -3004\/60099. Let t = -188 + 139. Let p = t - -49.1. Is w at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -2*x, 7*x - 3*x = -3*u + 22. Suppose z + 5*p = -0*z + 12, -2*z - 4 = -x*p. Find the second derivative of -2*y - z + 2 - y**4 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2423 divide 34428407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 439987401 to the power of 1\/3, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 24 = q, -2*j - 10 = -5*q - 0. Suppose 0 = -4*a + 20, -4*a + a = -j*x + 90. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1789513210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 337*v - 339*v + 51278. Is 236 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n + 24. Let z(u) = 2794*u - 2562. Let j(d) = -2*i(d) - z(d). What is the derivative of j(x) wrt x?\nAnswer: -2792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 220*c**2 + 22*c - 22. Let z = -7639 + 7617. Let j(w) = 49*w**2 + 5*w - 5. What is z*j(g) + 5*a(g)?\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*(3 - 33\/12). What is the nearest to j in 4\/7, 0.1, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -196*g + 2596716 - 2610044 = 0 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 8, e: 2, m: 1, k: 2}. Give prob of sequence kk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 530*l = 531*l + 5. Let g = 146 - l. Which is smaller: g or 152?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 3 = -3*q. Suppose -5*s = 2*k - 16 + 4, 0 = -q*k + 3*s + 18. Let v = k + 16. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-5)\/(-45))\/(4\/60). Let k = f - 19\/6. What is the nearest to -0.1 in -2\/5, -2\/13, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -4*t**2 - 8 + 9 + 2*t + t = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 346 - 346.3. Let u = -85 - -167\/2. Sort u, -2\/11, y in decreasing order.\nAnswer: -2\/11, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4256601 + -11?\nAnswer: -4256612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(24\/6)*36\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -p**3*t*w + p**3*t - 5*p**3*w**3 + 2*p**3*w**2 + 32*p**3 - 69*p**2*t*w**3 - p**2*w**2 + 4*w**3 wrt w.\nAnswer: -30*p**3 - 414*p**2*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -259.661 - -0.4.\nAnswer: -259.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -139*l**2 + 14452*l + 392. Give y(104).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p + 2 = 12*p. What is the highest common divisor of 16 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*s**2*z**3 + 63*s**2*z + 137*s**2 - 828326*s*z**3 + 2*z**3 + 21*z**2 wrt z.\nAnswer: -18*s**2 - 4969956*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 401868479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -22*f**2 + 2045*f + 97. Let y be k(93). Let 2\/13*t**3 - 2\/13*t**y + 0 - 2\/13*t + 2\/13*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4760 or 3633?\nAnswer: 3633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 - x + 32. Let k be t(0). Let z = k + 41. Let o = z - 26. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 18251002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 - 5. Suppose -5*o = 0, r*q = -2*q + 2*o + 8. What is the second derivative of -7*g**2 - 8*g**2 + 2*g**q - 17*g wrt g?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 190 or 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 - 3. Let y be (48\/(-15))\/(v\/(-5)). Solve 0 = 4*f - y, 0*q = 5*q - 5*f + 35 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, m: 1, d: 14}. Give prob of picking 1 l and 3 d.\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 64273 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -116 + 106 + (0 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -853, -2089, -3329, -4573?\n\"Answer: -2*i**2 - 1230*i + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*k**2 - 18*k + 20*k - 13*k - 15*k + 0*k**2.\nAnswer: -5*k**2 - 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - -1.15347666377?\nAnswer: -1.84652333623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 268013 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n + 5. Let q(h) = h. Let v(f) = 6*q(f) + 3*u(f). Is v(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2 + -3)*(-6125 - -148) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, 0.2, -1\/5, -1128, 5, 9.\nAnswer: -1128, -1\/5, 0.2, 5, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 4392 (base 13) to base 3.\nAnswer: 110220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(198)\/sqrt(225))\/((sqrt(44)\/sqrt(2))\/sqrt(2)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 32428\/201*(-30)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1515196485 and 510?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 51855 - 19682. What are the prime factors of h?\nAnswer: 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 89514 and 68.\nAnswer: 3043476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-69)\/207)\/((-58)\/(-16344)) + 10\/(-145)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*t**5 - 3*t**5 - 4*t**5)*(-12 + 22 + 22 + (7 - 2 - 3)*(-4 + 5 + 0) + 3 - 1 - 4 - 2 + 5 - 1 - 4 + 5 - 3) + 0*t**3 - 3*t**5 + 0*t**3.\nAnswer: -67*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 7:02 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 7*c**2 - 37*c + 37*c + (6 - 2 - 3)*(c**2 - c**2 - 2*c**2) as k + d*c + h*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uugg when four letters picked without replacement from uuguuuuuuuuuuuguuuuu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-9)\/9*55\/15?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from faf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**2 - 22*s + 2. Let n be f(-22). Suppose -20\/9*v**3 + 2\/3*v - 4\/3*v**2 + 14\/3*v**4 + 2\/9 - n*v**5 = 0. What is v?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, e: 2, b: 5, x: 1, q: 1}. What is prob of picking 1 b, 1 h, and 1 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -748*w**3 + 4*w - 2*w**2 + 24*w + 40 - 14*w**2 + 744*w**3.\nAnswer: -4*(w - 2)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the third derivative of 0*p + 0 + 313\/60*p**5 + 0*p**4 - 1\/2*p**3 + 48*p**2. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -189*z + 32 + 33*z + 68*z - 158*z + 423 wrt z.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99485.\nAnswer: 5, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62569106 divided by 292379.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((1*sqrt(77) + sqrt(77) + sqrt(77))*-3)\/sqrt(11)*4 + -4.\nAnswer: -36*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 11dd2 + -3?\nAnswer: 11dcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-14)\/35)\/((-2)\/(-10)). Is -2 + 2 - -30 - j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 4*j + 2. Let o = j - -2. List the prime factors of o\/((-2)\/(-6)) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 1.98. What is the third biggest value in z, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2 + 5166*i**4 - 6*i**3 + i**6 - 5166*i**4 - 17*i**2 wrt i.\nAnswer: 120*i**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 251 (base 6) to base 15\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 369 - 341. Suppose 0 = -8*s + 964 + 124. What is the remainder when s is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -199883*k. Let t(o) = 7*o**2. What is t(d(f))?\nAnswer: 279672495823*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiid when four letters picked without replacement from {d: 5, i: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -3*i - 2. Let u be 3\/((-14)\/((-280)\/15)). Solve -u*x + 6 = i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448)*-3*4 - (sqrt(448) + -5 + (sqrt(448) - (1*sqrt(448) + sqrt(448) - sqrt(448)))))**2 + -5 + 1.\nAnswer: -1040*sqrt(7) + 75733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 88\/229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 + 9*a**2 + 11*a + 16. Let k be 13 - 126*20\/120. What is p(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -16.5 * 134004.\nAnswer: -2211066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 37 - 37460\/520 - -35\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 s when three letters picked without replacement from geskgserggvsee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16334049 divided by 10.\nAnswer: 16334049\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gtt when three letters picked without replacement from {t: 2, g: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -3528 - 4218.4487\nAnswer: -7746.4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 63228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4150794, 8301604, 12452416, 16603230, 20754046, 24904864, 29055684?\nAnswer: 33206506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 489 - 479. Calculate the remainder when (-88)\/o*(-100)\/8 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543.77 less than 27.39866728?\nAnswer: -516.37133272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -245*o + 5251 + 253*o - 27222.\nAnswer: 8*o - 21971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 728 - 367 - 74*r - 361 to l + s*r and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 30972 divided by -2?\nAnswer: -15486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4624.6 - 4638.6. Suppose -3*t - 25 = 2*a, t + 3*t = 2*a - 10. What is the third biggest value in -0.5, 1\/12, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/3, 1.913, 0.143?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - k + 0)*(0*k + k - 2*k) - 4681 + 16*k**2 + 2344 + 158*k**2 + 2338.\nAnswer: 175*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 950 by -5.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - -325?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 793 divide 1294969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -3*l. Let k(a) = 642*a. What is m(k(c))?\nAnswer: -1926*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4330093 + 4330089.8000048. Let j = -3.2 - c. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -53472 or -53172?\nAnswer: -53172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 2 + 2)*(2*h**2 + 4 - 4) - 15*h**3 + h**3 - 2*h**3 + 5*h - 4*h - 2*h**3 + h**3.\nAnswer: -21*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f - 22. Let d(i) = i - 20. Let l(x) = 2*b(x) - 3*d(x). Determine l(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03468 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1763 + 2151 = 19*x. Let m(z) = z**3 - 4*z**2 - 4*z + 7. Let k be m(5). Suppose -x + k = -2*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be 96\/15 - 16\/40. Suppose -2*c = -c - 15. Solve 5*q - 7 = 3*i + c, -2*q + 4*i = -t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126175 is divided by 672?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -688\/151 (b) -3 (c) -1\/9 (d) 0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/6 + 379 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30371 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, 3, 138, 1, -13 in decreasing order.\nAnswer: 138, 3, 1, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 710781038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-123)\/(-24) + -5)\/(12\/144)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/(-273)*1*63*(-1 - -2)*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*w + 2*c, 3 = w + 5*c - 2. Sort 2\/9, 3, -0.5, w in descending order.\nAnswer: w, 3, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 241930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of -z**9\/15120 + z**7\/5040 - z**6\/360 + 179*z**5\/60 + 2*z**2 + 71*z. Let i(k) be the third derivative of o(k). Give i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 14405\/18*3\/850. Let r = f - -3\/340. Let y = 37257\/9140 - 12\/457. Find the common denominator of r and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 40567 times 0.15\nAnswer: 6085.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -13. Let h(q) = -q**3 + 40*q**2 - q + 42. Let x be h(40). What is the smallest value in i, -0.3, x, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 0.5 (b) -318 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1062 by 4793.\nAnswer: -1062\/4793","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Divide 393873 by 1.\nAnswer: 393873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of 0 + 0*o**4 - 1\/1980*o**6 - o + 1\/660*o**5 + 1\/2*o**3 + 0*o**2. Let n(x) be the second derivative of h(x). Factor n(z).\nAnswer: -2*z*(z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 15706, -1.7, 0, -0.3, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/3)\/(-7 + (-182)\/12 - -14)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -681 - -681.4. Which is the third smallest value? (a) -1\/74 (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1053*b*x**3 - 104*b*x**2 - 6*b*x - b + 2*x**2 wrt x.\nAnswer: 6318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 513 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-3189)\/2)\/((-9)\/24). Suppose -38*t - 96 = -324. Suppose r = -b + 5*b - 4*m, -3*m - t = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the second derivative of -h**8\/28 + 7*h**4\/12 - 12*h. What is the third derivative of t(d) wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 8*d**2 + 9*d. Let a be s(8). Suppose f + 2*k - 46 = 0, 21*k = 16*k - 5. Calculate the highest common divisor of a and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000006 rounded to 7 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -58 - -0.5?\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -689, 70\/19, -148?\nAnswer: 70\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 54 divided by 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1384477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.017466798784 rounded to six dps?\nAnswer: 0.017467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 6*t + 24. Let u be d(-4). Which is the nearest to 2\/21? (a) -5 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/5)\/(-2)*60\/54.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 4.062441mg?\nAnswer: 4062441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 4*n**2. Let h(v) be the third derivative of -v**6\/120 + v**3\/2 + 3*v**2. Let w(u) be the first derivative of h(u). What is w(a(m))?\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27\/(-2)*110\/(-33) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*n**2 + 0*n**2 + 12*n**2)*(-5 + 8 + 8).\nAnswer: 77*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**(-31)))\/(s**32\/s)*s**2*s*s**(-4\/11) assuming s is positive.\nAnswer: s**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11069311 is divided by 1395?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 7237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 332845391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 - 2 - (-53 - 5). Suppose -6*g + s = -g - 4*y, -4*g + 52 = 4*y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4009*k**2*y**2 + 3*k**2 + 2*k*y**2 + 2*y + 2492 with respect to y.\nAnswer: -8018*k**2*y + 4*k*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -19126*l - 229499. Give g(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqf when three letters picked without replacement from {v: 1, f: 1, w: 2, q: 3, i: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(57) - (1*sqrt(513) - sqrt(57)))\/sqrt(3))**2 + (5 + sqrt(1900) + 0 - sqrt(1900)))*3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1111022210012 (base 3) to base 8\nAnswer: -3016174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 2*s**2 + 5*s + 9. Let i be x(-4). Suppose -i*b = -13*b - 80. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -136833*d**2 + 124445 with respect to d.\nAnswer: -273666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.19 + -0.31. Let p = 0.51 + z. Put p, -1\/2, 3 in ascending order.\nAnswer: -1\/2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 - -0.037737\nAnswer: 0.337737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 11301132001 (base 4) to base 5.\nAnswer: 341411340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 2.39, 43, -3\/8, -12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -4*t + 6*p + 2, -7 = t - 2*p. What is the second smallest value in t, 6, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 21 = 0, 12*w + 23 = m + 15*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20222412223 - -13?\nAnswer: 20222412241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1589 - 4?\nAnswer: -158d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 62010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 5*u**2 - 5. Let k(p) be the second derivative of p**5\/20 - p**4\/2 - 3*p**2 - 8*p. Let o = -15 + 9. Determine o*r(m) + 5*k(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 10) to base 6.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 66332 and 4120?\nAnswer: 663320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 144757240*b - 92035354.\nAnswer: 144757240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 106 + -1463?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 820*i**2 + 3182*i**2 - 1746*i**2.\nAnswer: 2256*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 768*s + 146864 = 741*s + 555050. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 1. Let h(r) = r**3 + 3*r - 3. Let p(u) = h(u) + 5*k(u). Suppose 2*l + 3*z + 124 + 1 = 0, l = -z - 62. Let m = l - -65. Calculate p(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/8 and (-1 + (-196)\/6)*(-27)\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 160*m**2. Let y(n) be the third derivative of -n**5\/60 + 20*n**3 + 56*n**2. Let t(i) be the first derivative of y(i). Give o(t(f)).\nAnswer: 640*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 421*j**3 - 1126*j**3 + 0*j**2 - 526*j**3 + 2*j**2 + 323*j wrt j.\nAnswer: -7386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -2)\/(32\/8)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 + 5*f**2 + 4. Let b be m(-5). Suppose 5*c = -4*k - 4264, b*k - 3*c + 2154 = 2*k. Let y = 1718 + k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, -1006, -4045, -4\/5?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 6325 = -4*x, 0 = -5*x + m + 11742 - 3862. What is the remainder when x is divided by 394?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-23)\/(-15) + 32\/(-12) + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24711.\nAnswer: 3, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -39*t**4 + 4*t**3 + 115*t**2 + 29285*t wrt t?\nAnswer: -468*t**2 + 24*t + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 + (-32)\/(-4))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 4*l - 51. Let f(c) = 22*c - 255. Calculate -4*f(o) + 19*p(o).\nAnswer: -12*o + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -11*c**3 - 9*c + 6. Let k(u) be the first derivative of 5*u**4\/2 + 4*u**2 - 5*u + 2663. Determine 5*b(a) + 6*k(a).\nAnswer: 5*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1030822963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 2*d**2. Let a(s) = 29*s**2 - 251 - 112 + 274. Determine k(a(i)).\nAnswer: 1682*i**4 - 10324*i**2 + 15842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 1 = -2*b. Suppose 0 = y - 0*s + s - 1, 0 = -s - b. Suppose 2*k = -y*p + 98, -2*k = -5*p + 2*k + 245. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*l + 4*l - 16*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*x**3 + 2*x**3 - x**3 + (-5*x + 4*x - 2*x)*(x**2 + 2*x**2 - 4*x**2) to the form z*x**3 + g*x + b + f*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -1110001010 (base 2) to base 5.\nAnswer: -12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -11110 by -1.\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -186427597128 - 0.029\nAnswer: -186427597128.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 126147311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 PM and 4:23 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 93*o**3 + 12*o**2 - 12. Let n be j(-5). Is 10\/85 - n\/17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*x**2 + 2*x**4 - x - 72*x**3 + 72*x**3 - 3*x**2 as g + r*x**3 + s*x + k*x**2 + p*x**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6637522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9866.377 + -9861. Round l to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (6 + -3 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2164 + 2168. What is the nearest to 1\/4 in 3\/5, m, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -123*t. Let d(c) = -2350*c - 1. Determine x(d(h)).\nAnswer: 289050*h + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 7846459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 50, 81, 134, 209, 306, 425?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {o: 9, t: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -433311044?\nAnswer: 433311034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 83175123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 16. Let y be (-10)\/(-3) + (-6)\/t. Suppose 36 = y*o - 0. Calculate the remainder when 17 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2151, -4467, -6783, -9099, -11415, -13731?\nAnswer: -16047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -3*p + 98. What is z(26)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of 11*v**9\/126 - v**8\/84 - v**6\/20 - 17*v**5\/30 - 23*v**4\/24 + 21*v**2 - 42*v. What is the third derivative of b(u) wrt u?\nAnswer: 5280*u**3 - 240*u**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-455)\/52 + 8 + 155\/(-35)*(-45)\/252?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 41359 times 859\nAnswer: 35527381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 1 - 14 = 3*a, -2*a - 10 = 4*k. Suppose -13*r + 18*r + 2*j - 6 = k, 3*r - 16 = 5*j. Solve -t = 5*y - 21, r*y - 7*t - 3 = -2*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 965, 27, -4, -23 in ascending order.\nAnswer: -23, -4, 3, 27, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13155049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5525525 weeks in microseconds?\nAnswer: 334183752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from izopppszp. Give prob of sequence zip.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2*t + 152 = -126, -5*t - 121 = y. Let s = y + 141. Suppose -i - 4*x - 12 = -x, 3*i + 4 = -x. Solve -d + 3*q + 16 = i, -s*d + 8*d = q + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17512 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 239*g - 247*g = 48 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 82460*i = 80613*i + 68339 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 28889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -76845 (base 9) to base 12\nAnswer: -25612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.5336347kg?\nAnswer: 533.6347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 1158414 by 34071.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s + s - s)*(-s - 2*s + 2*s) - 2*s**2 - 21*s**2 - 95*s**2.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**2. Let c(u) = 3*u**2. Let z(s) = -4*c(s) + 3*x(s). Let w(b) be the second derivative of b**3\/6 - b. Give z(w(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44 + -30. What is the units digit of w\/(-77) - 422\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*n - 3447 + 1401. Calculate the remainder when 197 is divided by n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71834504?\nAnswer: 2, 7, 53, 24203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((v*v**(-1\/7))\/v)**1)**(-37))**(-2\/147))**(9\/2) assuming v is positive.\nAnswer: v**(-111\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 - (-16 - -40 - 62)) + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/10)\/((-2)\/10). Let f be (-14 + (-3 - -7))\/o. Let u be 20\/(-6)*15\/10. Is u less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*c**(-3)\/c)*c**(-6)\/c*c*c**(1\/3)*(c*c**3*c)\/c)\/(((c\/c**(4\/9))\/(c**(-1\/3)*c))\/((c*c*c**(-1)*c)\/(c**(2\/13)\/c))) assuming c is positive.\nAnswer: c**(619\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 192888407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2013672258?\nAnswer: 2, 3, 13, 2868479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/41801 and 7\/10910061?\nAnswer: 10910061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 2*m**3 - 33*m**2 - 17*m + 12. Let a be i(17). Let c be (-4)\/6 - 8\/(-3). Solve 4*v = b + a, 5*b - 17 = -c*v + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 6*o**3 - 3*o**2 + 2*o + 1. Let j(k) = k**3 + 1. Let q(a) = i(a) - 5*j(a). Let b be q(3). Let g(u) = -u**3 - u**2 + 2*u + 1. What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 72 = w. Let l = w - -129. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-40)\/100 - (-1212)\/5. Let v = c + -142. What is the greatest common factor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -2*s + 28 - 5, -3*i - 53 = -4*s. Suppose -s + 2 = -3*b, 4*r = b + 336. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 162 = -132. Let f = 192 - v. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 925 = -8*t. Suppose -175 = 10*i - t. Solve -4*p = i + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2384, 2384, 2394, 2420, 2468, 2544?\n\"Answer: l**3 - l**2 - 4*l + 2388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 4:04 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 3*b**2 + 49*b + 296. What are the prime factors of w(-42)?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -19*l**3 - 3*l - 1. Let p be g(-2). Let y = -105 + p. Suppose n = -5*d + y, 0*n - 36 = -3*d - 3*n. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (19 - 228 - 70)*(2*a + 2*a - a) + 1 - 1 - a in the form h*a + i and give h.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k - 8 + 1. Let w be -1 + k\/((-7)\/6). Factor -10*l**4 + 3*l**w - 2*l + 2*l - 4*l + 4*l**2 + 7*l**3.\nAnswer: l*(l - 2)*(l - 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6670 or 46685\/7?\nAnswer: 46685\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2415341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 + -1011202000201?\nAnswer: -1011202000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w - 1. Let y be (-6)\/(3 + -9) - -6*2. Let i(v) = 7*v + y - 8 - 2*v - 2*v. Give -3*i(d) - 15*z(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -24270294*l - 62507845?\nAnswer: -24270294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**3 - 22*u**2 + 21*u - 43. Let m be a(-23). Suppose -2*n + 3*n - 10 = -2*p, 15 = 5*n + m*p. Solve 2*i - 4 + 2 = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(324) - (sqrt(324) + sqrt(324) + (sqrt(324) - (2*sqrt(324) + sqrt(324))))) - sqrt(324) - sqrt(324))\/(-2*sqrt(12)*-3))\/(3*-3*sqrt(576)*1).\nAnswer: sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 3*w - 2*w + 2*w**4 + 177*w**2 + 2*w**3 - 178*w**2 in the form f*w**3 + r*w**4 + o*w**2 + d*w + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -212, -4, 2, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 6*t + 1 - 405*t**2 - t**3 + t**4 + 405*t**2 in the form x*t + j*t**2 + w*t**3 + i*t**4 + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -5, -25.\nAnswer: -25, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 441 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nysn when four letters picked without replacement from lysynnllpn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -457, -862, -1229, -1540, -1777?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -32 + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -262 by -414926.\nAnswer: 131\/207463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 426884 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + -1. Suppose -600 = j + 4*j. Let g = -602\/5 - j. What is the smallest value in 2, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lqsqpcsl. What is prob of sequence qcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 3333.94 micrograms to grams.\nAnswer: 0.00333394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -31, 3, -4, 4 in descending order.\nAnswer: 4, 3, -1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**4 + 0 + 0 - 41*q**4 + 93*q**4 + 521*q**4 + (2*q**2 + 0 + 0)*(-2*q - q**2 + 2*q) + q**4 + 2*q**3 - 2*q**3.\nAnswer: 570*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5397407*i**2 - 2*i + 10287563?\nAnswer: 10794814*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 132 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (80\/(-10))\/((-2)\/1). Let s be (42\/c)\/(9\/24). Let j = -2 + 6. Calculate the greatest common factor of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - 7*l + 9. Let z(y) = -y**2 - 3*y + 4. Let d(g) = 3*v(g) - 7*z(g). Let r be d(-1). Suppose r*a - 18 = -0*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 1, z: 7, y: 12}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40913602 divided by -362.\nAnswer: 113021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 15431*n = 15489*n + 986 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 3379*k**2. Let p(i) = 2*i. Calculate l(p(v)).\nAnswer: 13516*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27794 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: What is the product of -54 and 12?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 4. Let i(j) = -j**2 - 14*j - 11. Let s be (-192)\/15 - ((-18)\/15)\/(-6). Let r be i(s). Which is the biggest value? (a) m (b) r (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 378 and 103446?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*p + p + 4*p)*(-12*p**2 + 22*p**2 - 5*p**2) + 2*p**3 + 0*p**3 - p**3 to the form k + h*p + i*p**2 + t*p**3 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 492, 1970, 4432, 7878, 12308, 17722, 24120?\n\"Answer: 492*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**4\/13 - 31382046*r**3\/13 + 376584744*r**2\/13 - 1506339232*r\/13 + 2008452480\/13 = 0.\nAnswer: -15691035, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 8 + 1)*(l + 4*l + 4*l).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(272) + 3 + 0 - (2 + 2 + (sqrt(204)*-2)\/sqrt(12)))**2*2.\nAnswer: -96*sqrt(17) + 1256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of -f**9\/56 - 11*f**5\/10 - 2*f**2 - 25*f. Find the third derivative of r(o) wrt o.\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*j - 36 - 18 = -164 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/39700 and 57\/111160.\nAnswer: 555800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**3\/6 - 9*p**2\/2 - 2*p. Let q be n(-7). Let y = 2 + -3. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29 + 22 + 19 - 7*n to z + y*n and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 + -5)*-1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v - 2*v + 8. Let h be (-1 - 6)\/(1\/(-5)). Suppose -5*z + 3*g + h = -0*g, v*g + 20 = 0. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(-42*k + 19*k**5 + 42*k) - k**5 - 5*k**5 + 4*k**5.\nAnswer: -21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -3663*k. Let i(j) be the first derivative of j**3 + 4175. Calculate i(t(z)).\nAnswer: 40252707*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1e8409 - 5?\nAnswer: 1e8404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.95 - 2. Let k be (-3)\/((-7)\/((-84)\/(-18))). Suppose -78*g + 77*g = -k. Is p greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1510*d + 694*d + 1336*d + (1 + 1 + 0)*(d - 3 + 3))*(6 - 1 - 1).\nAnswer: 14168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -13. Let t = 9.2 - j. Let n = -105.3 + 105. Which is the third biggest value? (a) 1 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-32)\/(-6) + (-150)\/30. Let y = -13 + 11. Which is the second biggest value? (a) k (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 148 divided by -37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.15, -4, 2, 0, 3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -1286, -11, -1, -9, 3 in descending order.\nAnswer: 3, -1, -6, -9, -11, -1286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*n + 5*w + 8, -2*w = 5*n - 3 - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -91 - -105. Find the common denominator of -22\/7 and 4\/(16\/(-81))*(l - 13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 4*q**4 - 14*q**3 - 98310 + 49155 + 4*q**2 + 49160 as t*q**2 + m + k*q**4 + r*q**3 + s*q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11424 + 19797. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5376*c**3 - 11404*c.\nAnswer: -32256*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 0.2 (c) -1.196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, w: 1, m: 1, n: 2, x: 1, c: 2}. What is prob of sequence gcnn?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 divided by -1578.\nAnswer: -5\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*p + 12*p - 39 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -738808 (base 9) in base 14?\nAnswer: -b625c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 22*j + 10. Suppose 31 - 61 = -10*o. Let y(z) = 7 - z - o - 1 + 8*z. Calculate -5*p(c) + 16*y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 63586294 + 33\nAnswer: 63586327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-6)*(-135)\/630?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-4186)\/69*(-3)\/2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/14376 and -67\/17970.\nAnswer: 71880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -767.5 - -767. Which is the nearest to -1\/4? (a) 4 (b) -1 (c) l (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**3\/13 + 24*i**2\/13 - 1592*i\/13 - 3264\/13.\nAnswer: 2*(i - 24)*(i + 2)*(i + 34)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**2 - 18*b - 6. Let k be m(-18). Let p be k + (-8)\/(-2) - -1. Which is greater: p or 2\/179?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0*n + 0*n - n)*(0*n - 4*n + n) + 0*n + 0*n - 2*n**2)*(-2*n**2 + 2*n**2 - 6*n**2) in the form o*n**4 + r*n**2 + g*n + m + z*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -593*i + 198657. What is m(335)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2730\/((-2730)\/(-78))*(-3)\/(12\/2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 5*w = -0*w + 225, -2*y = -3*w - 91. Suppose 2063*c + y = 2059*c. Is -10 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 12) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2404*j + 5259*j - 2858*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -t - 2*t - 26*t to o + g*t and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, -8543 in descending order.\nAnswer: 2, -1, -8543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -11*a + 69. Let k be h(6). Suppose -x + 2 = -k*x. Sort -5, 3, x.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 96278?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**3 - 18*f**2 + f + 22. Give l(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 11:43 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -18475000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 - 0. Suppose 0 = 2*i - 10 + r. Which is smaller: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2)\/18*-6*(59 + -5) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + 9. Let t(w) = w**3 - 8*w**2 + 4*w - 1. Let r be t(8). Suppose g - r = -x*h, -3*h = -g - 3 + 2. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 smaller than -458916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 294 (base 12) to base 16.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -14*p**2 - 405*p + 33. Let c be j(-29). What is the greatest common factor of c and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - ((-23 - -5)\/6 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3001 is divided by 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 95847385\nAnswer: -1\/19169477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2677729498326 and -123?\nAnswer: 2677729498203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 11:08 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 + 35. Suppose 7 = a*i - 9*i. Calculate the remainder when 19 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 287, 283, 269, 239, 187?\n\"Answer: -c**3 + c**2 + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*r - 126 = 15*r. Let x = -4 - -6. Let s be (18\/12)\/(x\/4). What is the closest to s in 2, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3870\/(-390) - 168\/(-182)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 86*r**2 - 188*r**2 + 88*r**2 + 56*r - 40 - 2*r**3 + 0*r**3.\nAnswer: -2*(r - 2)*(r - 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 8004*o**3 + 4004*o**3 - 1 + 20*o**2 + 4009*o**3.\nAnswer: 9*o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 2*u = -10, -2*g + 10 = 2*u - 7*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 12 = 0, 0*q = 3*l + 5*q + 30. Let f be (1\/3)\/1*l\/(-1). Solve 4*i - f - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -766*z - 1439 + 10479 = -1402*z + 749*z for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 171 and 980647?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -56*q - 63. Calculate i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1213 - 823. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 596\/1465 - 2\/293. Let t = 2161\/30 - 437\/6. Which is the smallest value? (a) -4 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 133 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-3) + -2)\/(((-560)\/(-165))\/28)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 256335 is divided by 835.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -5*p + 6, 5*l = -3*p - 4 - 0. Let i = 2 - p. Suppose -3*m + 285 = -n, -3*n - 2*m - 942 + 32 = i. What is n rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 2*u**3 - 4*u**2 - 2*u + 5. Let n(d) = 15*d + 6. Let q be n(-1). Let a be (6\/9)\/((-2)\/q). List the prime factors of p(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129\/(5 + -4) - 1*-1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 68902650 divided by 1350\nAnswer: 51039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (160\/(-6))\/((-10592)\/(-23832)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -76680\/11 > -6971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 2190 by -227906.\nAnswer: -15\/1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/66 and 223\/8580.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 0 (c) -0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -72 + 71.63. Let j = o - 2.63. Is -10 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2541.9 * 0.7\nAnswer: 1779.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 99744.44 weeks in nanoseconds?\nAnswer: 60325437312000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2043 + -1314. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 1271.19.\nAnswer: -2542.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**3 - c**2 - c - 2. Let f be (-1)\/(-1 - (-3)\/6). Suppose 0 = 2*q + f*q - 12. Is n(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10*1\/6*3. Suppose 13 - i = 4*f. Suppose -w - 4*z + 4 = 0, z + f*z = -4*w + 42. What is the least common multiple of w and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2)*(-5*t + t + 2*t + (-5 - 3 + 4)*(-2*t + 3*t + 0*t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 1 = -5. Let i = 0 - -2. Solve 0*g = -2*g + 6, i*k - 14 = -t*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1, -2\/3, -1\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 PM and 10:46 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 413*a**2 - 83*a - 86. Let q be z(-1). What is the highest common divisor of 4018 and q?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*x - 2*a = 5*x + 710, 4*a = -28. Solve 0 = -31*k + x + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2692 + 0.0308. Let p = -0.05 - 4.95. What is the nearest to c in -2\/15, p, -0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1082 - -187. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = g - 11*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 + u**2 - 29*u + 12. Determine y(-4).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 29*t + 2530 = 0. Let p = 55 + -137. Let f = t + p. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 10*i - 4 = 8*i, -3*t = -5*i + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -31.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-736 + 275 - 730 - 162 + 83 - 1 + 2 + 1 + (2 + 3 - 4)*(1 - 1 + 2) + 3 - 6 + 2)*(5*q + q - q) to the form a*q + o and give a.\nAnswer: -6335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.43 * -0.05607.\nAnswer: -0.0241101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - -40. Calculate the least common multiple of 8 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 81381, 163112, 244841, 326568, 408293?\n\"Answer: -b**2 + 81734*b - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 - 6*u**2 - 2*u. Let v be 2*-2*33\/12. Let h(m) = 2*m**3 - 11*m**2 - 4*m. Suppose -6*l - 1 = -37. What is l*h(a) + v*b(a)?\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4510 + 54510. What is s rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -2\/153 (b) 11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27429 and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12961*a*p**4 + 21933*a*p**2 - 2*p**4 + 2*p**2 wrt p.\nAnswer: -311064*a*p - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-109)\/(((-3)\/8)\/3). Suppose -1489 = -3*s + q. Let z = s - 468. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.419 - 86.481. Let y = h - -87. Which is the closest to -1? (a) 1\/5 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/2331 and 10\/1197.\nAnswer: 44289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be 53 + 6 + (-3 - -1). Let q = 31 - r. Let f = q - -26. Solve f*c = -2*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 30 by 13.\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - 2)\/2 - -32. Calculate the common denominator of 4 - (-93)\/(-20) - 2\/(-10) and (-2 + 20)\/(v\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5\/29 + 1151\/116. Let u = -479\/12 - -40. Let d = q + u. Find the common denominator of d and -58\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-5))\/((-333)\/(-888)*(-8)\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2 + 261092*v + 17042258116.\nAnswer: (v + 130546)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, o: 1, k: 2, h: 1, n: 8, q: 1}. What is prob of sequence ob?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of 3*f**5\/20 + 4*f**3\/3 - 51*f**2\/2 - 7*f + 4. Differentiate y(o) wrt o.\nAnswer: 9*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 179*h + 3. Let l(f) = f - 21. Give y(l(o)).\nAnswer: 179*o - 3756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, 18, -5754088 in decreasing order.\nAnswer: 18, -3, -5, -5754088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 461 or 458?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 337572702?\nAnswer: 2, 3, 23, 29, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -b, 0 = 4*v - 2*b - b - 49. Let g be (-37)\/(-9) + 1\/(-9). Let a = g + -3. Solve 3*z + a = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/55 and -117\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2142 divided by -51.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -1760730708 by -3.\nAnswer: 586910236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -54, -52, -50, -48, -46, -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1121211011120 (base 3) to base 12.\nAnswer: 357196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1524779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -177336053, -177336067, -177336097, -177336149, -177336229, -177336343, -177336497?\n\"Answer: -i**3 - 2*i**2 - i - 177336049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23058427\/195 - -118248. Calculate the common denominator of -77\/351 and f.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17056949 is divided by 17056942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*u + 23 = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*x + 717 - 99 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 4*p**2 + 2*p. Let q(d) = -4*d + 3*d + 2*d + d**2. Let b be (-16)\/(-5) + 13\/(-65). Suppose -7 = b*j - 1. Calculate j*q(u) + t(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -342 (base 7) in base 11?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + n + 218 = -3*n, -4*n - 1154 = -5*r. Calculate the remainder when r is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 173*l - 738. What are the prime factors of r(23)?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(228)*1)\/(sqrt(48)\/(sqrt(28)\/sqrt(7))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + (-63)\/(-15) + (-28)\/(-35). Suppose -18*n = 5*j - 19*n - 11, 5*j = 5*n - g. Let m(z) = -2*z + 2*z + 3*z - 2. Give m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0007963503533 rounded to 5 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 43864 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 165 - 178 - (0 - (5 + 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/7, -0.6, -2\/5, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 307 and 0.945835.\nAnswer: 290.371345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-9186*i**2 - 6363*i**2 - 48 - 22 + 70)*(5*i**2 - 2*i**2 + 0*i**2) as f*i**3 + d*i + u*i**2 + b + s*i**4 and give s.\nAnswer: -46647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 276*o**2 + 16*o + 8. Let l(f) = -92*f**2 - 6*f - 3. Let q(m) = 8*l(m) + 3*r(m). Let p(v) = 9*v**2. Calculate p(q(x)).\nAnswer: 76176*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 844049341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 269383820?\nAnswer: 2, 5, 23, 43, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21467456?\nAnswer: 2, 335429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -1 + 4 - s - 2*s**2 - 3 + 1. Let v be (-2)\/9 + 11\/9. Give r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18 - 129*n - 12 - 4 + 131*n - 4 - 15*n**2 to q + d*n**2 + b*n and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 35300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6147.6 + -6148. Which is the smallest value? (a) 1\/2 (b) v (c) 3 (d) -0.08 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 5*x + 249 = 0, c + 3022*x - 149 = 3023*x. Calculate the remainder when c is divided by -1 - -10*7\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1252 (base 11) to base 5.\nAnswer: -23010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -4*u**3 - 4*u**2 - 35*u + 58. Let h(o) = -o**3 - o**2 - 12*o + 19. Let t(x) = 2*c(x) - 7*h(x). Is t(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11043430214 (base 5) to base 9.\nAnswer: 24670776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - 25 = d + 4*l, -2*d = 3*l - 10. Suppose 3*g = -4*c - 333012, -3*g + d*c = -0*g + 332985. Round g to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 - 2*s**2 - 3*s**2)*(4*s**2 + 6*s**2 + s**2) + 0*s**2 + 12*s**4 - 3*s**2 + 3*s**2.\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h**3 - 69*h**2 - 107*h - 2273. Determine q(-34).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01143552 to 5 dps.\nAnswer: 0.01144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/43 greater than 2800000\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*f - 0. Suppose 3*q - 2*y + 0*y = -30, -f*q - 5*y = 30. Let t = q - -18. What is the smallest common multiple of t and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -11*w + 26*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -12, 44, 131, 2, 1 in ascending order.\nAnswer: -12, 1, 2, 12, 44, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 6 + 6)*(-2*a + a**3 + 2*a) + 3*a**4 - 1 + 1 + (-4*a**3 - 3*a**2 + 3*a**2)*(-3*a + 3*a - a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 12034880*q - 2145091 wrt q?\nAnswer: 12034880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5715 - -49528. What are the prime factors of w?\nAnswer: 55243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -7*w**2 + 73*w - 86. Let k be c(9). Put -11, 22, k, -4 in decreasing order.\nAnswer: 22, k, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 14*d - 1. Let r(w) = 4260*w. What is r(i(t))?\nAnswer: 59640*t - 4260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -171 - -121. Let k = -41 - w. Are -1\/3 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*d - 2*d - 8. Suppose 2*s = -h + 4*s + 48, -93 = -d*h + s. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -142*u**2 + 580*u - 35. Determine r(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 56667 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(-9) - (4 + (-11030)\/15). Let b = r + 615. What are the prime factors of b?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f - 3*f + 0*f)*(905 - 905 + 19*f**4).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7260 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 26 = -j, -3*j + 3*y - 36 = -3 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 9\/8, -2, -0.166?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 446116*g - 370818 with respect to g.\nAnswer: 446116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-81)*-3*(-1)\/(-2)*14.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b + 6*b**2 - 2*b + 3*b + 0*b + 13. Let q(v) = 5*v - 43. Let g be q(8). What is the tens digit of r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4254 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/25 of a century in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 815407709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2114)\/(-912) - 2) + 9\/(-72). What is the nearest to -2 in -5, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000309 rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.7 - 0.3. Let t = 72.5 + -65.5. Which is the second smallest value? (a) -0.4 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 1317*x**2 - 42*x + 331. Is h(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/24)\/1*79\/(4503\/(-171))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + -2. Let t = r + 5. Factor g**2 + g**2 + g + 0*g**3 - 3*g**t.\nAnswer: -g*(g - 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/21 - -29*15\/(-1260).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(3 + sqrt(208) + sqrt(208)) - sqrt(156)\/(sqrt(12) + sqrt(108)\/(sqrt(9)*-6 + sqrt(9))))*2)**2.\nAnswer: 222*sqrt(13) + 17941\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 93334039702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-3*4*(sqrt(588) + (sqrt(588) + -1 - sqrt(588)) + -3))**2*-2.\nAnswer: -695808 + 129024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of -s**7\/350 - 179*s**6\/600 + 217*s**5\/150 - s**4\/30 - 124*s**3\/15 + 2*s**2 + 37*s + 27. Suppose q(x) = 0. Calculate x.\nAnswer: -62, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/5))**(-4)\/(d*d*d*(d*d*d*d**(2\/15)*d)\/d*d*d)**27 assuming d is positive.\nAnswer: d**(-1106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of -8*a**3\/15 - a**2\/5 - 16. Factor s(i).\nAnswer: -2*i*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**3 + 16*y**2 - 7*y + 43. Let t be c(-10). Let i = t + 291. Factor 16\/7*u**2 + 0 + 2\/7*u**i - 10\/7*u**3 - 8\/7*u.\nAnswer: 2*u*(u - 2)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -18*y + 2. Let o(u) = -7*u + 630 - 2*u - 304 - 325. Determine 2*l(h) - 5*o(h).\nAnswer: 9*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*b**2 + 0*b - 2*b + b + 16*b**2 - 2*b**3 - 6*b**2 to w*b**2 + u + g*b**3 + s*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 902, 1\/7, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 148 + 11 = 0. Let v = p + -81. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19233858 divided by 1?\nAnswer: -19233858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -9*q**3 - 11*q**2 + 15*q + 17. Let o(k) = -4*k**3 - 5*k**2 + 7*k + 8. Calculate -13*o(d) + 6*y(d).\nAnswer: -2*d**3 - d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 - 21. Solve a*v - 2 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-36)*((-420)\/45 + 10)*-6\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*n*o**2*r**3 + 2*n*o*r**2 - 175*n*r**3 + n + 12*o**2 wrt r?\nAnswer: 12*n*o**2 - 1050*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - (2 + 4)) + (63 + 9 - 42).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1 + 14*t - 9*t + 1 - 6*t**2 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-2 + 1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1343*a - 18 = -1346*a + 3*x, 5*x - 10 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -63.28 - -4.\nAnswer: -59.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -39272*g + 4198. What are the prime factors of o(-2)?\nAnswer: 2, 11, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 706976.8 centuries to millennia.\nAnswer: 70697.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 3*f + 47, 3*b + 2*f + 1 - 14 = 0. Let w be -1 + b + -2 + -1. Solve -i = 2*i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19170155359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*i + 560 = -9*i + 21*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 PM and 9:57 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 584 + -445. Suppose -2204 - q = -3*l. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 388111103684 and -0.099.\nAnswer: 388111103683.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3*(0 + -3))\/(-1). Let x(v) = -3*v - 48*v**2 + 24*v**2 + 15*v**2 + 12*v**2. Let b(d) = -7*d**2 + 6*d. What is s*x(c) + 4*b(c)?\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12246003 divided by 3017?\nAnswer: 4059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/(-40)*(-5)\/3. Let m = -2 + 1.8. Put 0, m, o in ascending order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*x - 38*x + 112 = 0. Suppose -x*w = -17*w + 4*o + 1454, -1460 = -3*w - 2*o. Does 35 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 13. Let t = -43 - -46. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 203 and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 536, 1340, 2706, 4640, 7148?\n\"Answer: f**3 + 275*f**2 - 28*f + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*m**5 + 2*m**5 + 0*m**5 + (0*m**2 + m**2 - 2*m**2)*(3 - 3 - 2*m**3) + 499 + 13*m**5 - 499.\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b - 2. Let j(z) = 303*z**2 + 1212*z - 1212. What is j(n) - 606*q(n)?\nAnswer: 303*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11456 and 19690.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 3 (c) -1\/6 (d) -5471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.36434 times 492\nAnswer: 179.25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16587.\nAnswer: 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6540684 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Factor l**5\/6 + 2*l**4\/3 + l**3\/2.\nAnswer: l**3*(l + 1)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gdtoe. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 2*q + 22, -a - 3*a = 5*q + 13. Let u(f) = 4*f - 12. Let c be u(4). Put a, 0, c in descending order.\nAnswer: c, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/1345 and 23\/95.\nAnswer: 25555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 555671, 555683, 555703, 555731?\nAnswer: 555767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i + 6. Let x be u(-6). What is the closest to x in -3, 3\/5, -4\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + -2 + 2 + 2. Factor 2 + 6*j**4 - 6*j - 5*j**4 + 2*j**5 - 2*j**s - 5*j**4 + 4*j**3 + 4*j**2.\nAnswer: 2*(j - 1)**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4824 + 4668 = -26*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 3 = 2*m, -4*m - 5*z + 1 = -4*z. What is the units digit of 7 - m\/(1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbgvggmmmgvbmmgmmvg. What is prob of picking 4 g?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 less than 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(40)\/(sqrt(40)\/sqrt(5)).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 513410 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 5*f = 58, -5*t + 3*f = -90 + 59 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*b**3 - 3528226*b**2 + 5345*b - 1227 wrt b.\nAnswer: -18*b - 7056452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(100)*-4)\/(sqrt(50)*-2 + sqrt(4)\/sqrt(2)*1) + 2)**2.\nAnswer: -320*sqrt(2)\/9 + 13124\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, z: 3, b: 7, g: 2, s: 4}. What is prob of picking 2 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, -6, 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68929 is divided by 1861.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - 23*c + 27*c - 24 = 0, 0 = 13*u - 2*c + 3 - 4 + 37 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.26 + -0.3. Let l = -46 + 46.023. Let k = w - l. Round k to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}