{"text":"Question: Suppose -2*r + 42 = -p, r = -4*r + 3*p + 105. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*i*t**3 - i*t**2 - i*t*x - 250*i*t - 13*i - 917*t**3*x + 36*t**3 + 77*t*x - 299*x + 2 with respect to x.\nAnswer: -i*t - 917*t**3 + 77*t - 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - 0)\/((-4)\/28*1). Let l be -4 - (-23 + j)\/4. Solve l = 3*k + 12, -4*o + 5*o - 5*k = 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1585, -3241, -5015, -6913, -8941, -11105, -13411, -15865?\nAnswer: -18473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 20  (b) -0.18  (c) 17  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 640927 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19451, 19455, 19389, 19217, 18903, 18411, 17705?\n\"Answer: -6*m**3 + m**2 + 43*m + 19413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*d*n**3 + 6*d*n**2 + n**4 - 3*n**3 - n**2 wrt n.\nAnswer: -18*d + 24*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*b + 7*b = 14, 5*b - 8 = 4*g. Suppose -2*y = -5*y + 60. Solve -y = -g*u - 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 55 = 211. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5151*g**2 - 17*g - 108 wrt g?\nAnswer: -10302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w + w + w + 9748568*w**2.\nAnswer: 9748568*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5246.87 nanometers to meters.\nAnswer: 0.00000524687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3719850.\nAnswer: 2, 3, 5, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 366839953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -593 - -608. Calculate the highest common factor of j and 3165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -230.17 - -231.17. Let x = -0.04 + 2.04. Which is the third smallest value?  (a) -0.4  (b) -1\/5  (c) x  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 5:35 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 - 9)\/((-2)\/3). Let w be ((-2)\/r)\/((-3)\/(-9)). Let v(i) = -3*i**2. Let p be v(w). Let q(l) = -4*l - 2. What is q(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 6*c - 222. Let k = c + -61. Suppose -2*t = -a + 288, t - k = -4*a - 157. What is t rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 602*m - 80 = 592*m. Solve 3 = -c + 4*f, 5*c - 5*f = -m + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -m**3\/6 + 2*m**2 - 4*m. Let z be q(4). Solve -2\/7*r**3 - 2\/7*r**2 + z + 0*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000315159169 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffqp when four letters picked without replacement from ppqpfpffppqff.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, n: 8}. Give prob of picking 1 n and 1 s.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2638628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2408292201.\nAnswer: 3, 7, 1109, 103409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2 - 53*t - 56. What is i(27)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/3, 0.3, 20, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/16*-8*(-44)\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26807\/4 + -6701. What is the smallest value in c, 2\/3, 2, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = l + 4*l. What is the units digit of 6\/(-18) - (-158)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, c: 3, b: 2, s: 1}. What is prob of sequence sc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 15*r + 1334. Let f(n) = -1738*n. Give w(f(k)).\nAnswer: -26070*k + 1334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.430463t in kilograms?\nAnswer: 9430.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -210 (base 5) to base 16\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11aa - -18b?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 251*p. Let i(x) = 31507*x. Determine i(t(n)).\nAnswer: 7908257*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 327 a factor of 119685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 306  (b) 0.5  (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r**3 + 7 - 4*r - 4 - 4*r**3. Let p(w) = w**2 + w + 3. Let f be p(0). Let y be (2 - -3 - f) + 0. Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 746*h**2 - 3555*h + 3569*h - 750*h**2. Let j(y) = 2*y**2. Give j(m(o)).\nAnswer: 32*o**4 - 224*o**3 + 392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 + 39 = -18*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0.089, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**3 - 41*k**2 + 25*k - 42. Let q be o(-21). Let y be q\/(-16) - 104\/13. Sort y, 2, 3\/8.\nAnswer: y, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -483 - -581. What is the remainder when 8621 is divided by u?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.60306 rounded to two decimal places?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -932*c**2 - 1168 + 935*c**2 + 586 + 582.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1590 + 1599. Let s = 1270807\/9 + -140982. Let x = s - 219. What is the third biggest value in -1, x, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 + -33. Suppose 3*p = k*p - 6. Let m(u) = u**2 - 3*u + 5. What is the remainder when m(4) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/4)*k**(2\/35))\/((((k**9\/k)\/k)\/k*k)\/k**(3\/4)) assuming k is positive.\nAnswer: k**(-381\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/34314 and 67\/19866.\nAnswer: 377454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 380418.1 kilograms?\nAnswer: 380418100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 145 divided by -68498\nAnswer: -5\/2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/57)\/(3\/(378\/(-21))).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-31 - -20 - ((6 - 12) + 5 - 139)) + -1\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -733.983 - -734. Let z = 1\/192 - 389\/960. Sort -4, -3, z, q in decreasing order.\nAnswer: q, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 12:10 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-62)\/(-14) + (184\/28 - 7). Solve -5*t = -i*c + 13, -5*c + 6*c - 1 = -t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of 7*j**3\/2 - 57*j**2 - j. What is m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1bb (base 13) to base 3.\nAnswer: 102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2515 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 221 - 314. Let p = -92 - z. Which is the nearest to p?  (a) -2\/3  (b) -4\/5  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 952874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/40)\/((-2891)\/19411)\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of -1 - (-96 - (-6)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -12. Let r be -8*b\/(8\/2). Let x(o) = 41*o + 0 - 43*o + r. Calculate x(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-10)*t)*t**(1\/4)*t*t)**(-34) assuming t is positive.\nAnswer: t**(-765\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 8 + 6)*(-7*o**3 - 27*o**2 + 27*o**2).\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u + 24 + 6*u**2 - 16*u**2 + 0 - 66*u**3 + 65*u**3. Calculate m(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1\/27868?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1836) - sqrt(816)*2)\/((sqrt(363)*2 - sqrt(363))*1).\nAnswer: -20*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -152\/5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61598, 123203, 184802, 246389, 307958, 369503, 431018?\nAnswer: 492497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - -28.982. What is i rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(-5*x**5 + 4*x**5 - x**5) - 44 - 62*x**5 + 44.\nAnswer: -66*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*b - 6 = -106*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4178 + 4181. Which is the nearest to -4?  (a) f  (b) -0.08  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 24*o - 58. Let f be n(7). Suppose -327 = -m - f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/4)\/(2\/20). Let n = b - -31. Suppose -2*i = -2*j + n, 8*i + 24 = j + 3*i. Solve -j*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233556 is divided by 77813.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7\/2 + -25\/6. Let h be -10 + 8 + (-16)\/(-10). Let t = h + -11\/10. What is the smallest value in f, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 3  (b) 0.5  (c) -1\/4  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -5*c**2 - 3. Let n(p) = 1. Give -6*n(g) - 2*u(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1*(-2)\/(-8))\/(-1). Suppose -11 = 5*f - 6. Let m = 1 + -1. Which is the nearest to m?  (a) f  (b) 1\/9  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, u: 2, q: 1, i: 2, w: 1, k: 1}. Give prob of sequence uq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -207 and -206 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5176 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*0.191603677\nAnswer: 0.0958018385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 32 = 46. Let n(y) = y**3 + y**2 - y - 3. What is n(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**3*y - 27*q**3 + 46*q**2*y + 24*y - 23 wrt q.\nAnswer: -3*q**2*y - 81*q**2 + 92*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 5:31 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*w - 2*r, 0*w - 2*r + 26 = 4*w. Suppose 4*s + 0*s - 5*z + 8 = 0, -3*z - 8 = w*s. Let h be (-9)\/(-2) - s\/4. Solve 4 + 1 = -h*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 319\/476 + 3\/68. Let j(o) = o**3 + o**2 - 4*o - 3. Let h be j(-2). Is h greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 5 = 5*t, 338 - 353 = -3*t. Solve -b = 4*g - y - 0, 5*g + 5*y = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) -1\/10  (c) -0.4  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -999370441.1474 - -999728024. Let i = 357536 - d. Let f = -0.0526 - i. Round f to zero dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223500.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 14*x - 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 5*j + 33, -3*j - 39 = y + 2*y. Let w(k) = -k**2 - 9*k - 3. Let n be w(j). Let i = 6 + n. Solve -2*u + 1 = -i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 14179 = 2*b, 6*z + 14188 = 2*b + 4*z. Suppose 9777 = 13*x - b. List the prime factors of x.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 1\/7  (c) -42  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 14*h**2 + 14*h - 8. Suppose 3*a + 45 = -4*b, -62 = -2*a - 5*b - 92. Calculate q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 0. Solve -c*y - 16 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q + 184*b + 1653, -b - 791 + 783 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(1\/7))\/((i*i\/i**(-13))\/i))**(-2\/27))**22 assuming i is positive.\nAnswer: i**(440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.25 * 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*r - 142*r = 2314 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 - 57*o + 57*o + 9)*((0*o + 3*o - 2*o)*(-3*o + 4*o - 3*o) - 5*o**2 - 3*o**2 + 0*o**2 - 4*o + 2*o**2 + 4*o).\nAnswer: -8*o**4 - 72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 3:07 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/2*-23*(-14)\/1932?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**2\/(z*z*z**14*z)*z**(2\/7)\/z**(-14) assuming z is positive.\nAnswer: z**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10272808?\nAnswer: 2, 7, 13, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3978*w + 53. What is the ten thousands digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 5161320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 7:57 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t + 675 = 4*t. Is ((-129456)\/t + -6)\/(4\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4224.4 - -4238.4. Let n(o) = 2*o + 2. Let w be n(-3). What is the nearest to 1\/3 in w, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 54*k - 5 - 15*k - 18*k in the form z*k + a and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-96)\/(-30))\/((-2)\/20 - 0). Let d = -30 - x. Solve -2*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 1027*i**3\/3 - 723*i + 2580. Differentiate r(a) wrt a.\nAnswer: 2054*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -0.08  (c) -0.039  (d) 0.3  (e) 133  (f) -5  (g) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7565983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 459*((-40)\/(-740) + 266\/4662)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160\/(-40)*(2\/(-124) - 0).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1923620?\nAnswer: 2, 5, 96181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 713 a factor of 55698501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49\/3 - 41\/3. Let t = -21421 - -21421. Factor 0 + 4\/3*w**4 - j*w**3 + 4\/3*w**2 + t*w.\nAnswer: 4*w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 11236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*-10*12\/360*(-18)\/(-60).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*x - 4*x**2 - 332 + 189*x - 136*x + 332.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from ddddmddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 197\/(-197)*(-16)\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/9, 2, -1.9, 0.6, 0.194?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 3, -0.01, 25, 1177?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1545*w**2 - 1016.\nAnswer: 3090*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/(-57) + ((-8)\/(-10))\/((-30)\/(-25))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 39383, 78769, 118155, 157541, 196927?\n\"Answer: 39386*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34.7 - -32. Let f = y + 3. What is the nearest to 0 in f, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/63)\/(((-15)\/9)\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14510 - ((-15)\/9)\/((-5)\/(-15)). Let j = -6489 + i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7055203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -594, -2214, -4954, -8814, -13794, -19894, -27114?\nAnswer: -35454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 3. Suppose 4*a = 3*g - 2, -3*a + g + 2 = a. Suppose -5*i = a + 19. Calculate y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1439 + -177.1439. Which is the smallest value?  (a) o  (b) -2\/3  (c) -3  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4417464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -51*c. Let n(p) = -8*p**2 + 5*p. Let y(u) = 9*u**2 - 6*u. Let s(h) = 6*n(h) + 5*y(h). Determine s(l(b)).\nAnswer: -7803*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -67*a - 130. Let t be d(11). Let j = 1402 + t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 159800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hbffufpfumphpppmf. Give prob of picking 2 f and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*x - 147*x = -6264. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from nnnnnnnnyynnynn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3*b + 24, 4*b - 3*u - 24 = -u. Suppose k = -4*o - 6 - 10, -21 = -b*k + o. Solve 1 = 3*p - k*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16 take away 0.1297?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 38031 + -118?\nAnswer: 37c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l + 7*l - 1 + 1.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 6.83. Which is the nearest to h?  (a) 1\/2  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6182?\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l = -7 + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 664637 (base 8) to base 3\nAnswer: 102100210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/4 and 99\/(-36)*60\/(-3830)?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y**3 - 512*y**2 + 1984*y = 0.\nAnswer: 0, 4, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 333 = 298. Sort z, -16, 4, -3 in ascending order.\nAnswer: -16, z, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -94978 and -4211.74.\nAnswer: -99189.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -245819070 divided by 31077?\nAnswer: -7910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzx when three letters picked without replacement from {x: 4, z: 1, r: 4, k: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*x - 6 = 0, -2*p + 3*x - 221 = -217 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(5184)*3)\/(sqrt(144)\/(sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3)))))**2 + -2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131468 divided by -4.\nAnswer: -32867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 13*j**2 - 18*j**2 + 4*j**2. Let u(w) = 3*w. What is g(u(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8949.30010806 and -0.15.\nAnswer: -8949.45010806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13047200 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -4  (b) -2\/21  (c) -2\/7  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*r + 20*r - 2*r**2 - 1.\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 194.2656 kilometers in nanometers?\nAnswer: 194265600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*t - 3*m - 5 = -69*t, 0 = -2*t - m - 1. Suppose -75 + 11 = t*g. Sort g, -3, -4, 5 in decreasing order.\nAnswer: 5, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 8 = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-5)\/10)\/(2\/(-52)). Suppose -o - 4*s = -23, 0*o + 5 = o - 2*s. Solve -5*z + 7*h + f = 3*h, -2*h + o = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 541922 - 9?\nAnswer: 541913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -39. Calculate the lowest common multiple of 11 and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-9)*0 + 0. Suppose u = -13*x + 42*x - 232. Solve -x*m + 55 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.5  (b) 4\/5  (c) 0.179  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77094 and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that h**5 + 26137*h**4\/6 + 4351*h**3\/6 - 3630*h**2 = 0.\nAnswer: -4356, -1, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/5, -33, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/23, -0.1, 0.034, 1, 7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/2*((-24)\/(-9))\/(-1). Let u(h) be the first derivative of -3*h**2 - 4\/3*h**3 + 3\/2*h**4 + b*h - 2. Factor u(q).\nAnswer: 2*(q - 1)*(q + 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, g: 12}. Give prob of picking 3 k and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m - 3*m + 7*m**2 - 2 + m**2. Let n(o) = -16*o**2 + 10*o**2 - o**2 - 10*o**2 + 4 + 11*o. Let s = 11 + -17. Give s*n(r) - 13*l(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 4*z, -234*s = -232*s + z + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/11 + 810*d**2\/11 - 6576*d\/11 + 13216\/11.\nAnswer: 2*(d - 4)**2*(d + 413)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 103182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + -25.22. Let c = 0.62 + s. What is the closest to 0 in 0.3, c, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -266, -38, -12219?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 7, v: 2, n: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6\/7  (b) 2\/19  (c) -2\/17  (d) -0.2597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 11:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -131 - -131.2. Which is the third smallest value?  (a) g  (b) 3  (c) 1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 2\/5  (c) -0.4  (d) 3\/77  (e) 0  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27423 + -1173. Let f be ((-12)\/(-9))\/((-7)\/j). Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5154 divided by -35?\nAnswer: -5154\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 173, 4, -4, -1 in decreasing order.\nAnswer: 173, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p + 22. Calculate y(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2433)\/(-8110))\/(-1 - 1\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 513153*s**4 + 778473 with respect to s.\nAnswer: 2052612*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -974*o**6 + 246*o**3 - o**2 - 58541 wrt o.\nAnswer: -116880*o**3 + 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1872411553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + j + 32 = 0. Let f be 2\/(-45)*(3 - j). Find a such that f*a - 4\/9 + 2\/9*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -582 < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 61655750.1s in weeks?\nAnswer: 101.94403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*g - s, g - 2 = 2*g - s. Suppose y - 24 = -g*y. Let t be 11*4\/10 + y\/(-20). Solve -x - 25 = t*a + 4*x, -4*x - 29 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-1*sqrt(704)*1)**2 + 5 + -2).\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.100223631 rounded to 4 decimal places?\nAnswer: -0.1002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000463392 rounded to 6 dps?\nAnswer: 0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 4*m**3 - m**2 + 3*m - 6. Let c be ((-18)\/(-6))\/(9\/6). What is the remainder when p(c) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*p - 520 = 17*p - 39*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + 4*y**2 - 5*y + 7. Let p be h(-5). What is the highest common divisor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/2)\/(1 - -1). Let o be 12 + (-3 + 3 - p). Solve 3*t + 4 + o = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 58012\nAnswer: -17403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/7550648 and -29\/328.\nAnswer: 309576568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/(3\/2 + 0). Suppose -5*o + 14 = -w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x\/(x*x*x**6)))\/x*x**(3\/7)*((x\/(x*x**(1\/6)))\/x)\/(x*x*x**(2\/9)*x*x*x*x))**(-35))**(-20) assuming x is positive.\nAnswer: x**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -63, -84, -105, -126?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*9\/((-198)\/(-121)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59989\/133 + -8312\/19. Suppose 3*c - 88 = 4*n - 27, 0 = 3*c + 5*n - 25. Which is greater: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - c = 50. Let u(z) = -3*z**3 + z**2 - z. Let d be u(1). Calculate the remainder when (-14)\/(0 + (3\/2)\/d) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22866957525 + -0.076.\nAnswer: -22866957525.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16281362 is divided by 569.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 767807351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4903 = 203*r - 5044. Let p be ((-21)\/5)\/(1\/(-5)). What is the greatest common divisor of r and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1509061247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*o**3 - 13*o**3 - 3*o + 8*o**3 to the form l + i*o**3 + h*o**2 + j*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2733, -5489, -8253, -11025?\n\"Answer: -4*y**2 - 2744*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-202)\/(-17))\/(2*(-5)\/(-20)). Let s = -4419\/221 + x. Calculate the common denominator of s and -61\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/5, -5, -5\/34, 1\/2786.\nAnswer: -5, -1, -1\/5, -5\/34, 1\/2786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31\/(-2) - 17\/(1836\/594)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -115\/48  (b) -2\/11  (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5*b**2 + 2*b**2 + 375*b - 1054*b + 0*b**2.\nAnswer: -3*b**2 - 679*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fhff when four letters picked without replacement from nnfrlrnhnffnr.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + (-16)\/(-10) - 2\/(-5). Suppose -p = n - 15. Find the second derivative of 17*d + 22 - n + 2*d**2 - 13 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b*b*b**(2\/3))\/b*b**(1\/4))\/(b**0\/b**(2\/15))*b\/b**(-1\/6)*b*b\/(b\/(b\/(b*((b*b\/(b*b*b\/b**1)*b)\/b)\/b)))*b*b**(-2\/7)*b**(-2\/7) assuming b is positive.\nAnswer: b**(2791\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a = 71 + 19 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by 181\nAnswer: -40\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*2*(sqrt(66) - (sqrt(66) - (sqrt(66) + 3*sqrt(66)*-1 + sqrt(66)))))\/(sqrt(216)*4 + (sqrt(216) + -2*sqrt(216) - sqrt(216))) + 3)**2.\nAnswer: -5*sqrt(11) + 599\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + v + 2 + (7 + 0 - 6)*(5 - 5 - 2*v) + 5*v - 4*v + v + (-17 + 2 - 42)*(4*v - 7*v + v - v - 3*v + 2*v + (-3*v - 2*v + 3*v)*(3 - 2 + 1)).\nAnswer: 457*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -149 + 415\/3. Calculate the common denominator of o and 44\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4*v + 452 = 5*m, -5*m = 5*v - 515. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c + 2. Let r(m) = 46*m - 917. Let h(y) = -r(y) + 6*x(y). What is the tens digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -206*o**3 - 5*o**2 - 5*o - 4. Let m be -1 + -1 + ((-96)\/(-6) - 7). Let i be y(m). Let p = i - -185942. What is p rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.59 + -17.5\nAnswer: -19.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2034*c + 1981*c + n = -85, -13*c = -3*n - 109 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2088 is divided by 851?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1484629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 1. Let u = -1254 - -1261. Determine z(u).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/10)\/((-1736)\/(-224))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -5*l**3\/3 - 25*l**2\/2 + 30*l - 20. Factor x(h).\nAnswer: -5*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1764175\/52, 5, 0.3 in decreasing order.\nAnswer: 5, 2, 0.3, -1764175\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1020*b - 33600 + 1980 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -190019.4 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 7)*((3*t - t - 5*t)*(-1 - 2 + 1) + 20*t + 18*t - 2*t).\nAnswer: 252*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 7*c - 6. Let j be m(6). Let r = -4 - j. Let v be -1*r\/12*-6. Solve 0 = 2*n - v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 40*t - 560. Let r be s(14). What is the closest to -2\/7 in 0.155, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -53413 by 5.\nAnswer: -53413\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1237055119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1 + sqrt(48) + 2 - ((sqrt(3) - sqrt(27)\/(sqrt(9) - sqrt(81))) + 2)))**2.\nAnswer: 20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3.309 and 69584423?\nAnswer: 69584419.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 13911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3*h + 16, -5 = 4*o + o - 2*h. Suppose u - 3 = o. Suppose u*d = 4 + 44. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1984*i**3 - 607*i**2?\nAnswer: -11904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*d + 179*d + 9*m + 50 = 11*m, -40 = -4*d + 8*m for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/(-25) + (-11)\/(-5). Let j be 142 + -144 - 5\/14*-6. Sort j, d, 1\/9, 8.\nAnswer: 1\/9, j, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 2 = x. Suppose -v = -4*v - x. Let l = 1\/2 + -3\/14. Which is the second biggest value?  (a) v  (b) l  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 14 = -16. Suppose -k*z = -8*z + 14000. What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g + 24 = 2*a + 14 - 12, -4*a + 85 = 5*g + 70 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/2)*x**(-7))\/(x**(3\/4)\/x*x*(x\/(x\/(((x**1\/x*x)\/x)\/x*x)))\/x) assuming x is positive.\nAnswer: x**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a**2 - 33*a + 15. Let w be s(-14). Let q = 81 - w. Sort q, -2, 3 in descending order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -44. Let u = y - -65. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1009 - 413. Suppose -3*t - 3*k = -5*k - 910, 4*k - d = -2*t. Calculate the remainder when t is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0*t)\/(t\/t**(4\/3)))\/((t**(-5)*t)\/(t*(t*t**7)\/t*t)) assuming t is positive.\nAnswer: t**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + (sqrt(100)\/sqrt(4)*5 - (sqrt(25) + (1*sqrt(1225) - sqrt(1225))))\/(sqrt(720) - (sqrt(720) - (sqrt(720)*-2 - sqrt(720))*2))).\nAnswer: -sqrt(5)\/6 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z + 1. Let u be h(1). Suppose -6*b + 2*b + 24 = 0. Suppose -5*p - 22 + b = i, -4*p = 4*i. Solve u*g = i*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 52*k - 85. Let u be i(49). Suppose -23*g = -54*g + u. Solve 0 = -c + g - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/64766750 and 109\/6267750.\nAnswer: 194300250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 839483?\nAnswer: 839483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqmkbqmukqmqqqumqqu. What is prob of sequence mk?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 - -129. Suppose -3*n - 633 = -3*u, u + 4*n - j = 14. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (4 - (-9 - -5)) - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10311680 is divided by 2062327?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 563 (base 10) in base 14?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + t**2 + 1. Let x be d(-2). Suppose 1440 = x*v - 4*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**2\/8 + 144519*h\/8 - 3910761\/2 = 0. Calculate h.\nAnswer: -48281, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04252 + 13.04252. Which is the second biggest value?  (a) 24  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-2 - 3)) + -62 + 57\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 82 + 47?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 525*c - 48*c**6 + 18*c**6 - 525*c - 2*c**4 + 178*c**2 wrt c?\nAnswer: -3600*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3592 + -3121. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 645 in -1, 972, 1\/7, -4\/5?\nAnswer: 972","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -120337668*x**4 + 2*x + 25054812 wrt x.\nAnswer: -1444052016*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (232*d**2 - 848 + 848)*(1 + 1 + 0) - 6*d**2 + d**2 + 3*d**2 + 5*d**2.\nAnswer: 467*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -79370 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 132*x = -255 - 634 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 8*w - 8. Let f be o(10). Calculate the common denominator of (93\/f)\/(1 + 0) and 10\/2 - 651\/140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34809 - -34795. Suppose 4 = -2*i + 10. Which is the third biggest value?  (a) h  (b) i  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -71 divided by 17644\nAnswer: -71\/17644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4783 = -11*m + 8*m - c, -2*m + 3206 = 5*c. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10029 - 96 = -203*w - 28*w for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h - 5. Let r = -128 + 129. Let w(y) = 142 + 0*y - 143 - y. Determine r*p(x) - 6*w(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j - 4. Let z be d(6). Let s = 46\/21 - 6\/7. Find q such that -14\/3*q**3 - 2*q**4 + 2*q + s - 2*q**z = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.5 and 646886702.\nAnswer: 646886699.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177 + 18 - 2*i + 159.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 710*r + 185. What is the tens digit of c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 737, 824, 991, 1268, 1685, 2272?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(45)\/(sqrt(9) - 2*sqrt(9)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 26*j + 17*j = -93 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.045 + -5.045. Let x(i) = 3*i**2 - 5*i - 5. Let v(m) = m**2 + 1. Let s(w) = 2*v(w) - x(w). Let g be s(6). What is the nearest to -0.1 in g, r, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2636.1 + 2644. Put -2\/9, 4, -9, x in decreasing order.\nAnswer: x, 4, -2\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 20. Suppose 0 = 5*i + f*c - 35, -5*c + 50 = i + 4*i. Let x(p) = -p**2 + 8*p - 1. Let j be x(7). Solve t - 2*b = -2, 3*t - j*t - 17 = i*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30682 - 3357 = -2*d - h, d - h = 17012. Let s = d + -272479\/16. Let l = 1507\/80 + s. Find the common denominator of l and 31\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 35\/15 - (5 + 14\/(-3)). Solve -4*w = 2*t - 26, -2 = 2*t - j*w - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4 = -5*d. Suppose -6*h = -d*h + 14. Let p(w) = w**2 + 6*w + 2. What is the units digit of p(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -532 + 889. Let j = -238 + g. Let k = -107 + j. What is the nearest to -1 in 4, k, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4284 and 47115\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -92, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(16)\/(sqrt(8) - sqrt(128) - sqrt(8)).\nAnswer: -2 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64327, -129102, -193877, -258652, -323427?\nAnswer: -388202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -272 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 5076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 5*u - 20. Let v(w) be the third derivative of -1\/30*w**5 + 0*w + 0 + 1\/42*w**4 + 0*w**3 + u*w**2. Factor v(m).\nAnswer: -2*m*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 684 divide 2071152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 90\/73 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b. Let t(n) = 22*n + 1. Give t(i(o)).\nAnswer: -44*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**2 - 5*y**2 - y**2)*(0*y + 0*y - y) - 27 - 62*y**2 - y**3 + 213*y**2 + 3*y - 141*y**2.\nAnswer: 5*y**3 + 10*y**2 + 3*y - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 10:22 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 7*z = -12. Let h be z\/(-3) + 9\/((-108)\/40). Is -8 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8294 + 8290. Which is the nearest to 0?  (a) 6  (b) f  (c) 1\/2  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**3 - 30*k**2 + 2. Factor b(c).\nAnswer: -3*c*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 90133934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13 - (-4 + 2)*1. Solve -5*q + h = -0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 3*d. Let c(k) = -10*k. Let l(n) = -c(n) - 3*g(n). Give l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7\/(-28) + 6\/(-8))\/1. Is y >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 5*o + 12, -3*o - 3 = -2*o. Suppose x*n = 7*n - 56. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*w - 18 = 151*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6237 and 1613682.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 1)*(-3*l + 3*l - 3*l) + 769*l - 386*l - 390*l in the form w*l + y and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 462 = 4*h + 2*q - q, 0 = 5*h - 4*q - 588. Let i = h - 111. Solve 4*j = -i*u + 3, -u - 1 - 5 = 3*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -13.4. Let r = 9.6 + a. Let g = -13.1 + r. What is the biggest value in g, -2, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -19\/4, -4, 28956?\nAnswer: 28956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 15*j**2 + 14*j - 1. Let r be x(14). Sort 0.2, r, -1\/6, -1\/7 in increasing order.\nAnswer: r, -1\/6, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369 a factor of 37477407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 282863.73\nAnswer: -848591.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 81\/15 - 2\/5. Suppose -7*l - 2 + 23 = 0. Suppose h + l - c = 0. Sort -5, h, -1.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + 14*z**2 - 15*z + 7. Let s be y(-15). Suppose s*a - 92 - 48 = 0. Calculate the least common multiple of 32 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 397, -1 in decreasing order.\nAnswer: 397, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 + 254 - 117 - 137 + 6*l**2 + 23*l**2 + 18*l**2.\nAnswer: -2*l**3 + 47*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 7:54 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 2*b**2 - 6*b + 5. Suppose -3*y - 5*v = -4 + 12, 36 = 4*y - 5*v. Let u be l(y). Suppose 0*n + n = u. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/11  (b) -1.8  (c) 206  (d) -2  (e) -11  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -251*k + 168 = -167*k. Factor 0 + 33\/2*s**3 + 1\/2*s + 20*s**4 + 8*s**5 + 5*s**k.\nAnswer: s*(s + 1)**2*(4*s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-3\/4)*j\/j**8*j**(1\/5)*j*j*(j*j*((j**2*j*j)\/j)\/j)\/j*(j**(-2\/3)\/j)**2*j**(1\/2)*j\/j**(2\/9) assuming j is positive.\nAnswer: j**(-829\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of 0 + 0*w + 1\/8*w**4 + 0*w**3 + 27*w**2. Let q(z) = 13*z. Calculate q(j(y)).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 7, -1, -11, -23?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 157 - 19. Suppose u = d + 117. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 180 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -11. Suppose 4*i - 6*r = -r + 35, i = y*r + 14. What is the least common multiple of i and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -33. Solve x = -o - 1 + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 10. Let c(p) = -3*p + 2*p + 3*p. Let z(r) = -2*r. Give v*c(s) - 3*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1025*g - 1021*g - b + 13, 3*b = -g - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1267 + 129e?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6078 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/7, -5, 4905 in descending order.\nAnswer: 4905, 2\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-18)*12*-18. Let r be 8\/20 - n\/5. Let o be 1\/4 - (-2)\/(-8). Solve o*m - r = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*d + 2054 = 569 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v*v\/(v\/(v\/(v\/v**(-2\/25)*v)))*v*v)\/v*v*v))\/(v**(2\/5)*v)*(v*v**1*v)\/(v*(v\/(v*v**(-3\/7)*v))\/v) assuming v is positive.\nAnswer: v**(44\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3544847 and 72039.45?\nAnswer: 3472807.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*b + 16056497 = -7040082. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.954 + -1.956163. What is h rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 206 = 4326. List the prime factors of p.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(2736)*4)**2 - ((sqrt(57)\/sqrt(3)*-1)**2 - (sqrt(152)\/sqrt(2) + sqrt(19))).\nAnswer: -1050643 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 3, -s = -3*n + 8 - 2. Let x(w) = 4*w - 3. Let v be x(4). Let m be (0\/v - (-3)\/(-2))*-4. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4205 * -17073.\nAnswer: -71791965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, 1\/15, -3, 81, 8\/3, -10 in decreasing order.\nAnswer: 81, 8\/3, 1\/15, -0.06, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 12:21 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/308 and -43\/224.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -13, 38, -3 in decreasing order.\nAnswer: 38, 3, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 v when three letters picked without replacement from {n: 1, s: 2, o: 3, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-107)\/(-2675))\/(16\/(-1680)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6612987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321 = -4*v + 5*u - 344, 5*u = 3*v + 16 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 159.48 to 0 dps.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + -159 + 97 + 146?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1013830000 rounded to the nearest 1000000?\nAnswer: 1014000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1740)\/1160*(-3)\/(81\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 82 + -4 + 4 + 1. Suppose -d = -32 - r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from evveeeeeee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 306934 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: Let p = -307 + 59. Let j = 3722\/15 + p. Which is the third smallest value?  (a) -2\/13  (b) -2\/11  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -5*l - 25, -4*x + l + 5 = -x. Let g be (1 + x)\/((-15)\/(-30)). Find the second derivative of -5*i + 86 + 8*i**g - 86 wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 422 divide 240521432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 - 79*f - 2.\nAnswer: -79*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 25*n - 12. Determine r(-8).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhahha?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1087, 4378, 9855, 17512, 27343, 39342, 53503, 69820?\nAnswer: 88287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 - (3 - (2 - 2)). Suppose 48 = -u*v + 120. Let t = -22 + v. What is the remainder when 39 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20212*n*z**5 - 8*n*z**2 + 3*z**6 + 4618*z**2 wrt z.\nAnswer: -1212720*n*z**2 + 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/1170 and 77\/585.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2125*j - 2129*j + 224 = 0. Let c = 7 - 1. Suppose 5*f = c*f - j. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-3) + (-8)\/(-3). Let g(f) = -f**2 + 2*f + 5. Let o be g(k). Suppose 7*m - 220 = o*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 - -4.95. Let f = -822.2 + 822. What is the nearest to 2\/3 in -0.03, f, r?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11798261.\nAnswer: 191, 223, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 3 = -x. Suppose x*l - 4*g - 76 = -27, -5*l + 67 = -3*g. Suppose -9 = -z - 3. What is the remainder when l is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.62 + -3.62. Let s = 0.44 - -0.06. Which is the closest to 2?  (a) x  (b) 8  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.72 and 1.\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -14*s**5\/5 - 19*s**4\/2 - 16*s**3\/3 + 4*s**2 - 103. Let v(p) = 0. Calculate p.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*c - 18, -24*c + 22*c = -5*p + 21. Solve -5*i + 19 = -4*z + 9, 0 = p*i - z + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3\/6 + 2*y**2. Let i(g) = -12*g + 12. Let d(p) = i(p) - 12*w(p). Let j(s) = 5*s. Calculate j(d(r)).\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 86*l = 81*l + 66, 5*q - 3*l - 442 = 0. Solve -q = -3*b - 77 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.0002 + -2. Let n = 0 + i. Round n to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z - 6*z - 5*u - 17 = 0, 2*z + 38 = -8*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2048*k**2. Let m(d) = 1464*d. What is l(m(h))?\nAnswer: -4389470208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-2 - 5) + 5 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(1575\/50)*399\/28.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 15 = -23*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 470938504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-1 + 1 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 9*k**2 + k - 7. Let r be q(9). Suppose 2*m + 72 = r*w - 8, 4*w - 160 = -2*m. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -81597.96 not equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -49, -74, -99, -124, -149?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -8*j - 36. Let o(w) = -6*w + 1. Determine -3*o(t) + z(t).\nAnswer: 10*t - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 18\/7879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (7 + 1)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2445, -2428, -2411, -2394?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 9:33 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6453, -4, -2.\nAnswer: -4, -2, 6453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 364 and 2464.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j + 6. Let g be y(-3). Let s(z) = -4*z - 15. Let h be s(g). Suppose 26*p = h*p. Solve -4 = -2*b - p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of -26*s - 11\/42*s**4 + 2\/7*s**3 + 0 + 1\/30*s**5 + 8\/21*s**2. Let h(r) = 0. What is r?\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o + 3. Let l = -10 + 6. Let z(v) = v - 1. Let h(m) = l*z(m) - q(m). What is the first derivative of h(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -37*g + 18. What is q(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/792 and 41\/14?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9999 or -9996?\nAnswer: -9996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 23893810 rounded to the nearest 10000?\nAnswer: 23890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + 44135214?\nAnswer: 44135221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 5*u**2 + 11*u. Let q(a) = a**3 + 2*a**2 - 5*a. Let g = -7 + 32. Let l = g + -34. What is l*q(b) - 4*h(b)?\nAnswer: -b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(d**2 - d**2 - 2*d**2)*(-1 + 1 + 2)*(4*d - 4*d + 2*d).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 3:00 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(2 - 5))\/3. Let q = -1\/9945 + -4783538\/69615. Let y = q + 69. Which is greater: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 12, v: 1}. What is prob of sequence ww?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2045*t - 2042*t = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4416?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 819 and 40911.\nAnswer: 859131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, n: 1, u: 3, p: 4}. Give prob of picking 1 u, 1 n, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from yiiilyiyi.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4926 divided by -2?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -39*b**2 - 5*b + 103. Let w = 144 + -149. Let l(j) = -38*j**2 - 4*j + 104. Let d(y) = w*l(y) + 4*u(y). What is the first derivative of d(q) wrt q?\nAnswer: 68*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 49438, 197720, 444856, 790846?\n\"Answer: 49427*r**2 + r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 6*c - 9 = -l, 5*l = -3*c + 1. Solve q = 2*m + 9, -c*q = 4*m - 5*m - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -819731371676?\nAnswer: -819731371676.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 68567033537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c + 5. Let k(o) = -7*o + 10. Let y(r) = -5*j(r) + 2*k(r). Let w be y(6). Suppose n + 2 = w. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p - p - 12*p + 2*p - 6*p + 3*p + (3 - 2 + 2)*(-4 + 4 - 2*p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/(-3) - 3\/(-3). Let c be (o\/(-6))\/(1\/18). Is (-3*(-1011)\/c)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 4:51 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 145469831 smaller than 145469830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27476.055215 - 27476. Round f to 3 dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/50 and 139\/70700.\nAnswer: 70700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 0 - z**2 + 3*z + 1\/3*z**3. What is the derivative of s(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 706510111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + (-5 - 0) + -96 + 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2143*h + 4292*h - 2151*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 77  (b) 0.3  (c) -0.1  (d) 0.01  (e) -3\/1390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.936 times 0.2?\nAnswer: 0.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**3\/3 - m**2 + 3*m - 13. Let u(w) = -2*w - 4. Let h be (-1 + 2)*(1 + -4). Let v be u(h). Calculate q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 5*n - 18, 5*c - 4*n - 3 = 24. Calculate the smallest common multiple of c and (-5)\/(-2)*136\/85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24.9999932 + 25. Round t to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/1*((-80)\/156)\/(-20).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -42171 + 3?\nAnswer: -42166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/((-1782)\/143)*16\/(-24)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3324, -2, -9.\nAnswer: -9, -2, 3324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 1\/2, 10, -0.23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -50.4765\nAnswer: -252.3825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6 = 3*o, 3*l + 2*o = 5*o - 6. Solve -2*x - 3*s = 0, l*x - 5*s = x + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 2*y**3\/3 + 7*y. Let x(f) = -55*f - 88. Let n(q) = -2*q - 4. Let k(a) = 22*n(a) - x(a). Determine k(g(z)).\nAnswer: 44*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -215 - -209. Let p be 2967216\/(-133) - o\/(-57). Round p to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21874514 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-4)*y)\/(y\/y**(1\/5))*y**(-1\/5)\/y**(1\/2))\/((y**2)**24)**(2\/111) assuming y is positive.\nAnswer: y**(-397\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q**3 + 6*q**3 - 10*q**3 - 283 - 73 + 9*q**3.\nAnswer: -2*q**3 - 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 100698207*t**2 - 19995416*t?\nAnswer: 201396414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 765, 865, 965, 1065, 1165, 1265?\n\"Answer: 100*r + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1898342250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3007\/5355 - -48\/85. Let b(d) be the third derivative of o*d**7 - 1\/36*d**4 + 0*d**3 + d**2 + 1\/180*d**6 - 1\/90*d**5 + 0 + 0*d. Factor b(z).\nAnswer: 2*z*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 23) + 3 - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -30*u**2 + 351*u + 822 = 0. Calculate u.\nAnswer: -2, 137\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5468 + 5473. Solve 4*v = -3*i + 11, 2*i - 25 = p*v - 2*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2943 greater than 1850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 390 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35336 divided by -2.\nAnswer: -17668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -100229\nAnswer: 1\/100229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + y + 5*y**2 + (4 - 4 - 3*y)*(2*y - 2*y + y) - 3*y**2 + 2*y**2 - y**2 + (3*y + 3*y - 3*y)*(0*y + 2*y - y))*(-3 + 0 - 3).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7652698961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0503 - -12.5703. Let g = q - 13. Let k = g + 0.08. What is the second biggest value in -3\/8, k, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148083 is divided by 856.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/6*(60\/(-8) - -8). What is the third smallest value in 0.4, 0, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14787 and 1488.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-15))\/((-2)\/(-5)). Let g(v) = -v**3 - v**2 + 2*v - 2. Let w be g(p). Let t be -2 + (-4)\/w + 3. What is the greatest common divisor of 27 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 395 - 575. Let u = c + 184. Solve u*h - 3*t + 4*t + 9 = 0, 2*h - 4*t = -18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 400\/(-65) - -2 - -4. What is the closest to 2\/3 in -0.4, u, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 0.4  (c) 1\/6  (d) -7  (e) -2\/3  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -18*y + 40. Let u be w(2). Let d(s) = -s**2 + s. Let c(o) = 6*o**2 - 9*o - 1. Let a(q) = -c(q) - 5*d(q). Calculate a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(567) - sqrt(567)*2) + ((sqrt(567)*1 - sqrt(567))*-4 - sqrt(567) - sqrt(567)))\/(-2*-2*sqrt(9) - -3*sqrt(108)\/sqrt(12)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -9. Suppose 0*z + z - 80 = 4*c, -2*z + k*c + 135 = 0. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -362 + 343. Let a(k) = 3*k**2 - 15*k + 4. Let z(p) = 5*p**2 - 31*p + 7. Let o(u) = -7*a(u) + 4*z(u). Calculate o(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k**2 - 4*k. Suppose 0 = 48*s - 154 - 38. Let f(d) = 5*d**2 + 8*d. What is s*f(h) + 7*c(h)?\nAnswer: -h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0284 less than -261.7?\nAnswer: -261.7284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n + 16. What is the units digit of r(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/9?  (a) 0.3  (b) -3  (c) 4  (d) 0.2  (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1415*o = -1422*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97*z**2 - 71*z**2 + 44*z**2 to f*z + l*z**2 + n and give l.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1. Let y(t) = -7*t - 400. Let v be y(-60). Solve 3*q - v + 5 = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of n**4\/6 + n**3\/3 - n**2\/2 + 3*n. Let d be c(1). Solve j - 4*t = -13, 0 = -2*j + d*j + 4*t - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -5, -977, 3.\nAnswer: -977, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-81)\/10 + (-696)\/(25 - 112).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -455148 at most as big as -5006632\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 6 = 2*q - 0*u, u = -4*q - 12. Suppose 4*f + 24 = z, 3*f = -2*z - 68 + 61. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -107*n**2 - n + 1. Let w(m) = 7636*m**2 + 4*m - 2641. Let z(c) = 4*j(c) + w(c). Differentiate z(k) with respect to k.\nAnswer: 14416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11671020 != -11671020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**3 + 2*x**3 + x**2 + x**3 - 5*x**2 to the form k*x**2 + f + s*x**3 + u*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x - 1. Let d be n(1). Let f be 0 - 117\/(3 + -2). What is the common denominator of f\/(-30) + (-1)\/d and -25\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150 and 10650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/201 and 47\/40030356.\nAnswer: 40030356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 321611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*z + 0*z - 39*z - 4*z - 8*z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, j: 4, b: 2, p: 4}. What is prob of picking 4 j?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-1)*51\/119. Which is the third smallest value?  (a) -0.3  (b) 0.2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 26. Let j be s\/(-20)*(-9 + 1). Let z(d) = 14*d**2 - 14*d**j + 6*d**2. Let o(g) = -5*g**2. What is z(o(m))?\nAnswer: 150*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -35. What is the nearest to -1 in 3, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1302738\/5 - -260548. Determine t, given that 16\/5*t + k*t**2 + 32\/5 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from yjissaqqssijjjjijy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 + 40.6. Let f = -5.4 - b. Put -1\/4, -1.1, f in decreasing order.\nAnswer: -1\/4, -1.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**4 - p**4 - 3*p**4)*(-2*p + 2*p - 3*p) + (0*p**3 - 4*p**3 + 5*p**3)*(0*p**2 - 2*p**2 + p**2) + 2*p**5 - 2*p**5 - 4*p**5.\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-two ninths of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.592 - 33.692. Let c = -33.2153 - b. Round c to 3 dps.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 132522\/5 - 26504. Let o = 104\/477 + 2\/477. Let r = -3 + 2.6. Which is the closest to o?  (a) g  (b) 2\/9  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1726605)\/(-60) + (-2)\/(-8). Let x = k + -2777. What is x rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 509587?\nAnswer: 13, 39199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207 divided by -3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.1 + 7.9. Let m = -10.000017 + a. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 2*a**2 + 4*a + 216. Let f be y(0). Suppose f*p + 21 = 223*p. Solve -3*t - 3 = -8*u + p*u, -4*t - 2*u - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-31 - -10) + 20 - -1*2 - 338\/182\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/247 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of m**8\/10080 - 97*m**5\/60 - 18*m**2. Let w(u) be the third derivative of t(u). Let i(z) = -57*z**2. Calculate w(i(a)).\nAnswer: 6498*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 111100001110100110 (base 2) to base 7\nAnswer: 2045140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 20*d**2 + 21*d + 11. Let z be n(21). Let a be (z - 7 - 3)\/(1\/(-5)). Put 4, a, 3 in ascending order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 4*i = -4*l + 7, 5*i - 3*l = 12. Suppose -j = -6 + 2. Suppose -j*f + 534 + 810 = -4*b, -f = i*b - 332. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-77)\/28*((-3)\/2 + -1) and (-4)\/(-18) + (-994)\/180?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f - 12. Let j be n(-5). Let t(k) = k + 12. Let i be t(j). Suppose -3*v + 3*p + 1345 = 2*v, 1345 = i*v + 3*p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - c - 3 + 8 = 0, 5*c + 51 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4  (b) 0.0833  (c) -0.01  (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 32832940, 32832938, 32832934, 32832928, 32832920, 32832910, 32832898?\n\"Answer: -l**2 + l + 32832940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -20227*t - 323616. Calculate x(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 152802 + -96888. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g**(-1\/5)\/g)\/g)\/g**(-1\/7))**(2\/19) assuming g is positive.\nAnswer: g**(-74\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1438 + -1359. What is the remainder when 1263 is divided by v?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11721837 and 27?\nAnswer: 105496533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -87  (b) 68  (c) 4\/95  (d) 1\/3  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31*31\/6727 - (-303)\/(-1827).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + (-2)\/(-4))*-2. Let k(i) = -7*i - 4. Let f(y) = -y + 1. Let q(x) = 1. Let o(a) = -f(a) + 2*q(a). Give j*k(t) + 4*o(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 7:04 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2696465 to the nearest 10000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 3*n + 1 + 3*n. What is the units digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007281 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33784 and -8.6?\nAnswer: -290542.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 - 13. Let s(p) = -p**3 + p**2 + 1. Let n(z) = 4*z**3 - 9*z**2 - 6. Let v(m) = t*n(m) + 3*s(m). Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkhhbk. Give prob of picking 1 k and 2 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**3 - 6*x**2 - 4*x - 3. Let n(l) = -2*l**2 + 4*l**2 - 4*l**2 + 8 + 19*l**2 + 6*l**3 + 11*l. What is -8*h(s) - 3*n(s)?\nAnswer: -2*s**3 - 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (((-73060)\/(-39))\/(-281))\/((-5)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 256385390.\nAnswer: -128192695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 - 7*a**2 - 8*a - 2. Let l = -7 + 22. Let r = 9 - l. What is the remainder when m(r) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.4, -1.7, -1\/10, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 373*u + 382*u - 38*u + 1.\nAnswer: 717*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 31*w**2 + 6013*w - 12031. Give v(2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 8*h - 1924. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -2040, 3, -10, 4, -6.\nAnswer: -2040, -10, -6, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-52 - 1) + -4 - (43 - (-35 - -91))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26.4 + 11.4. Let u = 180.8 + -197. Let r = k - u. Are -1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66852677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h**4 + 2*h**3 + 4*h**2. Let c(r) = -5*r**4 - 2*r**3 - 5*r**2. Let z(t) = -5*c(t) - 6*p(t). Solve z(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2350.724635 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11124071 to four dps.\nAnswer: -0.1112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 4*i + 19 = 0, -478*g - 7*i = -483*g - 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17892 - 17896. Let f = 1.1 - -2.9. Which is the nearest to o?  (a) 2  (b) -0.1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102760 divided by -1.\nAnswer: -102760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - (-1)\/(-1) - 9. Put 9, o, 2, 5 in descending order.\nAnswer: 9, 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o + 3*o - o + 1 + 9*o**2 + o. Let h(c) = -c**2 - 3*c. Let w(p) = 5*p**2 + 17*p. Let m(f) = 34*h(f) + 6*w(f). Calculate b(m(z)).\nAnswer: 144*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 8*y**2 + 4*y + 29. Let b be n(-8). What is the units digit of (3*797\/(-3))\/(b - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**2 - 74*v - 462. Calculate t(-6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -7*6.44253\nAnswer: -45.09771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 313\/6) + (-4)\/(-24). Is o greater than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -38\/41 = -431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1088) + 1 + sqrt(1088))*-3)**2*-2.\nAnswer: -78408 - 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 72058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4847e (base 16) to base 8.\nAnswer: -1102176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1 + (2 + sqrt(637))*3 - 6*sqrt(637)*2*-6))**2.\nAnswer: 117600*sqrt(13) + 57330784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6688 by -3344.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -636*i - 28740. Give k(-45).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(39)\/(sqrt(3)*-2) - sqrt(13)))**2.\nAnswer: -9*sqrt(13) + 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-2)*1*-34. Solve b - 8 = 3*k, 6*b + 3*k = 2*b + v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7115, -7223, -7331?\n\"Answer: -108*y - 7007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**4 - 2*f**5 - f**4 - 3*f**4 + (-f**3 + f**3 + f**3)*(-2 + 2 - f**2).\nAnswer: -3*f**5 - 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 4*o**2 + 2*o. Suppose w + 19 = 5*s, -4*w - 7 = s + 6. Let q be k(s). Let c(d) = d**2 + 2*d - 2. Let y be c(q). Is y greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -78*i**3 - 65*i + 65. Let u(h) = -7*h**3 - 6*h + 6. Calculate 6*k(w) - 65*u(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**5\/20 - 13*t**4\/12 + 41*t**3\/6 - 19*t**2 + 20*t. What is the tens digit of v(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhmhhhhhhhhhmhhhhhhh. Give prob of picking 1 m and 2 h.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1113 - 27223 = -7*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000113373799 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005161178 to 6 dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -118. Suppose -3*g - 128 = -4*h + 186, 0 = g - 3*h + 103. Let c = y - g. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 12*x + 1. Let h be l(-15). Let a = -123 - h. Let m = a + -30. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiuuuuqqqq. What is prob of sequence qui?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/(-24))\/((-10)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 2, 119, -3 in ascending order.\nAnswer: -3, -2, 2, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*(-3)\/12)\/((-4)\/((-48)\/(-27))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 30*y**2 + 31*y + 14. Give a(-31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v + 4. Let u be o(-11). Let n be (-13 - -11) + u\/12. Which is the third smallest value?  (a) -3  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0051111586 rounded to 6 decimal places?\nAnswer: 0.005111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -602295 by -120459.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32016.99975493 + 32017. What is f rounded to six dps?\nAnswer: 0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 318 = -4*v + 2*v, 4*o - 5*v - 339 = 0. Let p = o + -38. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 252 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21771)\/(-2655) + 7\/(-1). What is the nearest to -1 in -0.01, w, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -6. Let b = 0.6 + -0.9. What is the biggest value in 4, b, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ygdgdgogggygfgoygfd. What is prob of picking 1 g and 1 o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 61 * -0.15.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 12*d - 59. Let s be f(-16). Solve -2*r + z = 1, s*r + 0 + 10 = -5*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*t - 68090 = 96*t - 237*t. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(8\/11)*a*a\/(a**9\/a*a) assuming a is positive.\nAnswer: a**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9089880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6042.16 meters?\nAnswer: 604216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/33 in -0.3, 4\/9, -1, -0.7, 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*u**(1\/16))\/u**(15\/2))\/(u**(25\/2)\/u**22))**(-40) assuming u is positive.\nAnswer: u**(-325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8831256?\nAnswer: 2, 3, 7, 52567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 9\/2, -0.5, -6\/43, 1\/8, -25 in increasing order.\nAnswer: -25, -0.5, -6\/43, 1\/8, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t - 4*t + 740 - 730 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 + 14*s + 12. Let u be f(-6). Suppose -3*a - 4*z + 11693 = u, a = -0*a + 5*z + 3866. Let n = a + -1842. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3712440 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 3 and 0.08826.\nAnswer: 3.08826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 111 + -573. Let r = 466 + i. Solve 5*m - 33 = -2*u, -5*m = -r*u + 6 - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + f**2 + f + 1. Let h(p) = 5*p**4 + 4*p**3 - 93*p**2 - 6*p - 6. Let w(u) = 6*a(u) + h(u). What is the third derivative of w(g) wrt g?\nAnswer: 120*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/66)\/(-4 - 798\/(-19)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 23376057.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 10:21 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -114 + 114.4. Which is the third smallest value?  (a) -3  (b) -0.1  (c) -1  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 796*r + 87298 - 4462 = -266*r for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34 and 7696954.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 1  (b) 0.05  (c) 0.09785  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 7:01 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -124, -188?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-105) - (31\/7 - 5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (2898\/672)\/((-6)\/(-8)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -196, -274, -166, 224, 992, 2234, 4046, 6524?\n\"Answer: 16*z**3 - 3*z**2 - 181*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 7956*j - 95489. Calculate v(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, 2, -0.129, 0.4?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-1 - (-5 - -2)) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sssm when four letters picked without replacement from {s: 18, m: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -10*b**3 + 10*b + 9. Let h be c(-1). Suppose o = 5*r + 171, 7*o + 348 = h*o - 4*r. What is the remainder when o is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 + 33*p + 30.\nAnswer: 3*(p + 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1729748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 125256 and 126232 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**2 - 2 + 2 + (p + 2 - 2 - 1 + p + 1 + 14*p - 4 + 4 + (2 - 1 - 3)*(p + 0*p - 2*p) + 0*p + 0*p + 2*p)*(-1 + 4 - 1)*(-2*p + 35*p + 46*p).\nAnswer: 3162*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19171 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 2. Let m be d\/(-6)*4\/(-2). Suppose -5*l + m + 4 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2079)\/(-54) - 40) + 1\/3*5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-1)\/21 - (-11051495)\/55615. Suppose 1460*d + v*d**2 - 300 + 20\/3*d**3 = 0. What is d?\nAnswer: -15, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqvqqqqvqvvq. Give prob of picking 2 v and 2 q.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/6 - -1 - -2. Let n = 73.3 + -4.9. Let d = n + -68. What is the closest to y in d, -1\/3, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1527*m**2 + 1513*m**2 - 3 - 3 + m - m**3 - 3028*m**2 - 1 to the form o*m + b*m**2 + d + y*m**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 5 + 0)*(1 + 2 - 2) + 1 + 11 + 0)*(-2*m + 0*m + 3*m).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11581.\nAnswer: 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -3*k - 6, -3*k + n = -4 + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 + (-14 - (2 - 16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -a20 (base 14) to base 12\nAnswer: -1198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/3))**(-45))**(-8)*((a**2\/a)\/(a**5\/a))\/(a**(1\/2)*a*(a**(-5\/2)*a*a*a)\/a) assuming a is positive.\nAnswer: a**236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.9 + -3. Let p be (-207)\/(-115) - (-4)\/(-5). Sort p, -1, m.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3 = 0, 2*s + 7 - 34 = -z. Which is the closest to -1?  (a) s  (b) -2\/21  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-7\/3)\/n*n\/(n*n\/n**(-6)*n))**(1\/11))**(9\/5) assuming n is positive.\nAnswer: n**(-102\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v - 7*v - v**2 + 15*v - 5*v. Suppose 0 = -2*p + 1 - 3. What is w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 388 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 782*u**4 - 335*u**2 - 24*u - 138967083 wrt u.\nAnswer: 3128*u**3 - 670*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 - (-202 + 222) - (-1 - 8 - (4 + -2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**4\/5 + 54*a**3 - 3*a**2\/5 - 54*a.\nAnswer: 3*a*(a - 1)*(a + 1)*(a + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3200) + sqrt(3200)*-2 + sqrt(250)\/sqrt(45))\/(2*sqrt(40)\/sqrt(4)*2).\nAnswer: -23*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (8 - -2) - (-18 - (-11 - -21)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111062, 111060, 111058, 111056, 111054?\nAnswer: 111052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6336 - 6249. Calculate the highest common divisor of 19923 and a.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 18, r: 1}. Give prob of sequence tt.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14125 - -14124.99. Are m and 242\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 256324 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b - 9. Let f(c) = -11*c + 26. Determine -6*f(y) - 17*m(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14578649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45409199*f**5 + f**2 - 191*f - 60957 wrt f.\nAnswer: 2724551940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1157, -1148, -1125, -1082, -1013?\n\"Answer: v**3 + v**2 - v - 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2487  (b) 0.5  (c) 1  (d) 1\/4  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of -j**5\/60 + 13*j**4\/24 - j**3\/6 - 4*j**2. Let a be u(10). Suppose -4*p + 5*p = a. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32682.19787 to 0 dps.\nAnswer: 32682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dooxddxoovoxoo. Give prob of sequence xod.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2553?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i. Let w(n) = -n - 1. Let b(v) = -v + 2. Let p(l) = 3*b(l) + 2*w(l). Give p(c(k)).\nAnswer: -10*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of 7*h**6\/720 - 7*h**5\/120 + h**4\/24 + 6*h**2. Let n(u) be the second derivative of r(u). Differentiate n(x) with respect to x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of 0*p**6 - 78*p + 0*p**2 + 1\/42*p**7 + 5\/6*p**4 + 13\/10*p**5 + 0 + 0*p**3. What is the third derivative of y(m) wrt m?\nAnswer: 60*m**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + l**2. Let m(q) be the third derivative of -q**6\/60 + q**5\/60 + q**3\/3 - 119*q**2. What is b(u) - m(u)?\nAnswer: 3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 142.5 + -143. Let z = -162.42 + 165. Let s = 0.22 + z. Which is the third biggest value?  (a) s  (b) n  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 9*j**3 - 3*j**2 + 4*j - 5. Suppose -10*u + 6*u = -8. Let t be d(u). Let i = t - 61. What is the highest common factor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + 6*c - 2*c)*(-2*c + 4*c - 8*c)*(-2*c + 0*c + 0*c)*(-1 + 1 + 1) to i*c**3 + x + l*c**2 + s*c and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - ((4 - (16 - 8)) + 13)) + (-12 - -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = 39*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -72.3 + 72. Let v be (1\/(11\/(-2)))\/(-1). Which is the closest to -1?  (a) v  (b) j  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 503 (base 8) to base 3.\nAnswer: 102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 7733227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 39 = 6*w, 2*w + 32583*r - 75 = 3*w - 0*w + 32587*r + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/24)\/((-1)\/18). Suppose v*l = 4*l - 6. What are the prime factors of 4*(-5)\/(10\/l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -23 + 52 + (-37 + -16 - -10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -2\/3*j**3 + 0*j + 1\/30*j**5 + 2*j**2 + 0 - 1\/8*j**4. Give v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21\/35 + (-10)\/(-25). What is the closest to 4 in 0, 2\/7, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*d + 176, 223 = 4*g - 18*d + 17*d. Let z(m) = m**3 + 5*m**2 - 4*m - 1. Calculate the remainder when g is divided by z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 27 = 5*i, -23*v + i = -24*v + 39. Suppose -36 = -5*s - 3*z + 9, s - v = 5*z. Solve f - 3*y + 2 = 6, 2*y = 3*f - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 c, and 2 d when four letters picked without replacement from dchczddhzdchd?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7\/2 + -4)*-4. Suppose 5*g + k + 18 = -x, 32 = -4*g - 4*x. Is (-5)\/((-5)\/332) + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/30536 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/5, -0.04, -197.8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r + 8. Let w(v) = -v**2 - 10*v - 6. Let y be w(-10). Let p be o(y). Solve p = -3*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + -4 - 1) + 2 + 1 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144 = -515*y + 1016*y - 509*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -167?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2326.\nAnswer: 1\/2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1291, 1106, 919, 730, 539, 346, 151?\n\"Answer: -u**2 - 182*u + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 82676.12nm in micrometers?\nAnswer: 82.67612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-741)\/8645)\/((-42)\/20).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p + p**3 + 6*p + 5*p in the form o*p + c + s*p**2 + k*p**3 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 33. Suppose -5*l + 185 = 3*f - 0*f, -5*f + 333 = -d*l. Is 63 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 4123530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 24 - (0 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0*r + 2. Suppose 24 = 5*o - r*o. Let v be (-102)\/(-2)*o\/6. What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -163 equal to -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1130 and 18463070.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 465\/(-180) + (-1)\/6. What is the biggest value in p, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**4\/12 - m**3\/6 - 45*m. Suppose 14*j + 24 = 38*j. Let i(h) = -3*h + 4*h**2 - 3*h**2 - 2*h. Calculate j*i(n) - 5*g(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 422 in -2\/7, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of t**2 + 0*t + 0*t**3 - 6667\/60*t**5 - 1\/12*t**4 + 0. Let q be p(-6). Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m*q**4 + m*q**2 + 1996*m*q + 8938*q**3 wrt q.\nAnswer: -24*m*q + 53628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, c: 2, e: 3, q: 2, m: 4}. What is prob of sequence mc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 224930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8815099457 to the nearest integer?\nAnswer: 93889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of 1\/8*z**2 + 1\/12*z**3 + 0*z - 4. Solve v(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 1)*(15 - 5 - 7 + 2*p) in the form o*p + k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -4*x**4\/3 + 6352*x**3\/3 + 96196*x**2\/3 - 25408*x\/3 - 128240 = 0.\nAnswer: -15, -2, 2, 1603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8365\/21918 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3526*h + 372 = 1759*h + 1764*h - 4*c, 10*h + 5*c + 465 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9227734 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2925 divided by -975.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.06, -3, 4\/5, 0.07?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - ((-60)\/6 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**4 - 6*u**4 - 2*u**4)*(0*u - 10*u + u) - 53*u**3 + 9*u**5 + 53*u**3.\nAnswer: 45*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31841 and 26222.\nAnswer: 445774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45435, 90325, 135215, 180105?\nAnswer: 224995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002191 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - -1)*(3 - 116). Let u = k + 163. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/122 and -19\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 3)*(0 - 2*w**3 + 0) + 0*w - 2*w + w**3 + 4*w to j + i*w**2 + p*w**3 + t*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 - 19*l**2 - 9*l + 3. Let y(o) = o**2 - 10*o + 12. Let c be y(7). Let x be f(c). Solve -p + 2 = -0*a + x*a, 4*p + 5*a + 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jgjjvvvjvgjjjv. Give prob of sequence vvv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 80705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4719599 is divided by 432?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 212036 and 2196.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r**2 - 16*r - 49. Give p(7).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, 5, 84.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 2*w + 3. Let d(s) = -s**2 + 2*s + 3. Let t(j) = -3*b(j) + 4*d(j). Let k be t(2). Solve k*a = v + 4*v - 35, -4*a + 5*v - 40 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.84219  (b) -3\/4  (c) -4  (d) 3  (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -273*n - 15. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*q + 3452 - 3452)*(-6*q - 2*q + 2*q) + 3*q**2 - q**2 - q**2.\nAnswer: 157*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v. Let r(x) = 2*x**2 + 3*x - 3. Let p(d) = -d**2 - d + 1. Let b(w) = 12*p(w) + 4*r(w). Give m(b(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -69864, -139819, -209766, -279705?\n\"Answer: 4*z**2 - 69967*z + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50*f*l**3 + 4*f*l**2 - 15*f*l + f - 9590*l**4 - 2*l**2 - 3*l + 3 wrt l.\nAnswer: 300*f - 230160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f + 7. Let y(t) = -16*t + 6128. Calculate -3*h(m) - y(m).\nAnswer: m - 6149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4418 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {m: 4, w: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1209045 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1472798\/35 greater than -42081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b*b\/(b\/((b*b**(-5)*b)\/b)))\/b**(2\/3))**(-46)\/(b**(3\/4)\/(b*b**(-2)))**(25\/7) assuming b is positive.\nAnswer: b**(845\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5295*s + 5288. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*g**2 - 44*g - 2*g**4 - 10*g**3 + 1 + 0 + 8*g**2 + 1 + 4*g**3 in the form j*g**2 + v*g**3 + n*g + a + x*g**4 and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -588*h**3 - 557*h**2 + 12. Let g(w) = -587*w**3 - 556*w**2 + 9. Let p(s) = 4*g(s) - 3*n(s). What is the third derivative of p(j) wrt j?\nAnswer: -3504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 4*d + 4*d. Let o(u) = 1 - 15*u + 8*u + d + 3*u. Calculate o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -12. Suppose o = f*o - 10. What is the least common multiple of o and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*m**2)*(2192 + 1613 - 3392 + 1009 + 2644).\nAnswer: -8132*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 8 = g. Suppose 2*s + 72 = 5*s. What is the remainder when 740\/s - 1\/(-6) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, u: 1, p: 2, g: 1, w: 1}. Give prob of picking 1 w, 1 i, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 12 = 82. Let q be (1\/(-2)*4)\/(4\/(-4)). Suppose -2*r = 2*l - 12, -3*r + 1 = -q. Solve 5*i - 2*z = z - t, 25 = l*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v**3 - 5*v**3 - 3*v**3 - 5*v**3 + (10*v**2 + 4*v**2 - v**2)*(3*v - 6*v + 2*v) + 2*v**3 - 3*v**3 - 2*v**3.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10803, 10801, 10799, 10797?\n\"Answer: -2*z + 10805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 48299.06 tonnes?\nAnswer: 48299060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1900 and 20.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*s + 34 = 0, 4*c + 3*s - 43 - 22 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.31653323 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 30962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 236\/512257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.927 - 0.027. Let n = -2.5 + q. Put n, -2\/5, -0.11 in ascending order.\nAnswer: -2\/5, -0.11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 3:45 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 26. Suppose 3*b = -2*p - 0 + 17, -5*p - b + 10 = k. Suppose -p = -5*c + 39. Calculate the lowest common multiple of c and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from nvvnnvclcv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - t - 750, -5*a + 3*t + 616 + 144 = 0. Suppose 4*l = a + 367. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + 21*p**2 + 2*p - 47. Let r be d(21). Put 1, 95, r, -2 in decreasing order.\nAnswer: 95, 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -5, -4, 6, -13, 3 in decreasing order.\nAnswer: 6, 3, -4, -5, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 7  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 4*k**2 - 3*k + 3. Suppose 3*g + 4*v = 17, 0 = -6*g + 7*g + 5*v - 13. What is l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 703 = -k, -2827 = -2*j + 6*j - k. Let y = j - -708. Let i(s) = 7*s - 2. Let r(h) = -13*h + 5. Calculate y*r(m) + 5*i(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 8*a + 7864, -4*f - 17*a + 21*a = -15588. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 168 divided by -1\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a**2 - 3*a + 7 - a**3 + a**2 - 1 - 1. Let h be s(-4). Suppose -3*b + h = -22. Solve -2*r = -5*v + 27, -3*r = -7*r + 5*v - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -11. Let h be (-24)\/5 + t\/(-25). Put -2, h, -6 in descending order.\nAnswer: -2, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96061 is divided by 96016?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -1175390*p - 2. Let x(d) = 59*d. Determine u(x(t)).\nAnswer: -69348010*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 224 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + -21 + (-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 413221*i**3*j*n**2 - 417*i**3*j*n + 113*i**2*j*n**2 - 18*i**2*j - 4*i**2*n + i**2 - i*j*n**2 + 37*i*n**2 wrt i?\nAnswer: 2479326*j*n**2 - 2502*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/4*(-605)\/(-22). Let g = f + 163\/12. What is the nearest to 1 in -23, g, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1597 - -1598. Which is the nearest to -0.1?  (a) -0.12  (b) -3  (c) -1\/5  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 47404 (base 12) in base 5?\nAnswer: 11024440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 10:17 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 78*r - 402. What are the prime factors of x(-57)?\nAnswer: 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 5*g**5 - 10820*g**4 + 5885945*g**3 - 34927230*g**2 = 0.\nAnswer: 0, 6, 1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*d - 26471, 25*d - 24*d + 15887 = 3*u. Is u a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-10) - (1 - (-10)\/((-700)\/1077594)). Which is smaller: 15392 or k?\nAnswer: 15392","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000069266 to seven decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -16*i**6\/15 - 107*i**5\/60 - 446*i**2. Find the third derivative of m(w) wrt w.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2477 + 15012. Suppose -4*d - d + 5*i + h = 0, 0 = 5*d - 4*i - 12536. Suppose -2*c + d = 2*a, 2*a - 5*c + 2505 = 4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**7\/210 + 13*u**6\/15 - 964*u**5\/15 + 2496*u**4 - 55296*u**3 + 5510*u**2. Factor j(a).\nAnswer: -(a - 36)**2*(a - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -1 + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(135)*2 - sqrt(135))*-4)\/(-4*sqrt(55)\/sqrt(99)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 134, 4, -155, 0.5, -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.54 - -1.46. Sort -2, v, -5, -2\/5.\nAnswer: -5, -2, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36123?\nAnswer: 3, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d**2 + 91*d - 146. Let p = 49 - 19. Calculate the remainder when p is divided by c(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -129*h**2\/2 + 11*h - 3236. Let r(a) = -26*a + 2. Give -2*j(n) + 11*r(n).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 118 + (-12 + 12 + -4 - (-27 + 40)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8535  (b) -5  (c) 1  (d) 1\/10  (e) 3  (f) 28  (g) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46263322?\nAnswer: 2, 7, 47, 70309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.794 + 4.194. Which is the closest to 1\/2?  (a) 43  (b) 0.3  (c) -0.5  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 3 - (-131 + -4)\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -54*v**3 - 4*v**2 - 2. Let h(a) = 108*a**3 + 7*a**2 + 4. Calculate 4*h(l) + 7*m(l).\nAnswer: 54*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1, -1\/3, 0.2, -0.15 in decreasing order.\nAnswer: 0.2, -0.15, -1\/3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3*3\/(9\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -161 - 40*l + 161 - 104*l in the form q*l + d and give q.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 1971\/6 - -1. Let x = r - -330. Factor -3 - 23\/2*j - x*j**2.\nAnswer: -(j + 3)*(7*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1422\/(-99) - -14)\/(0 - (5 - 4)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 116*s**4 + 112996*s**2 - 75866622*s wrt s.\nAnswer: 1392*s**2 + 225992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-80))\/((-70)\/6033). Let m = j + 3\/224. Calculate the common denominator of (14\/4)\/(462\/36 - 13) and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -83*i + 152*i - 75*i. Let w(y) = -2*y. Let n be ((-4)\/3 - -7) + (-1)\/(-3). Let m(c) = c. Let t(d) = n*w(d) + 2*m(d). Give t(r(v)).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -7.9179 * 0.1\nAnswer: -0.79179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11929204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*q - 19 = 0, 0*n = -4*n - 2*q + 2. Suppose -n*s = -2 - 6. Suppose -s*c = 5 - 105. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.9 - 4.9. Which is the third biggest value?  (a) t  (b) -6\/11  (c) 1\/2  (d) -1\/211\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 52*p**2 - 2*p. Let m(g) = -2*g**3 - 52*g**2 + 2*g. Give -3*m(t) - 4*x(t).\nAnswer: 2*t**3 - 52*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 4*j - 89, -2*m + 10 - 4 = j. Suppose -2*k = g - j, -2*k = k + 6. Let i = g + -22. Sort 0, 4, i in descending order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*t + 3044 = -6196. Solve -20*x - t = 2*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2  (b) 0.5  (c) 20  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 408\/(-340)*10\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -56362 divided by 28181\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 7*h + 12. Let w be z(-5). Suppose -5*r + 2 = -y + 2*y, -4*y - w*r + 44 = 0. Solve 5*i = 2*i + y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 37434775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 76, 15, -4397.\nAnswer: -4397, 15, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 223*x = 227*x + 26532000. Round x to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmwmmmwwmwmwwdwwbw. Give prob of picking 1 b and 1 m.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20543258 is divided by 8503.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5\/2, 44, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, l: 2, c: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -389, -867, -1479, -2189, -2961?\nAnswer: -3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-255)\/180*(-4)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 416560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 25857409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 10:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 23\/(-4) - 8\/((-288)\/27). Let z(t) = -t**3 - 4*t**2 - 2*t - 6. Let k be z(-4). Suppose -3*y - 20 + k = 0. Are y and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43 - 21. Suppose -2*a - 2*a - 3*y - 24 = 0, m = -2*a + y. Let u = a - -12. Solve 8*p + 15 = u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d + 6. Let x be u(-4). Suppose -5*l + 5*k = 20, -k + 0 = 2*l + x. Is 9 a factor of 4\/8 - 27\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21148996 by -4.\nAnswer: 5287249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from {i: 4, h: 3, d: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -36, -16, 26, 90, 176?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 98 = -74. Sort -1, p, 10 in decreasing order.\nAnswer: 10, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233 (base 10) to base 6.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*p - 8*p + 15 - 5 wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 162004, 323999, 485994?\nAnswer: 647989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(0*f + 0*f - f) + (-3*f + 1 - 1)*(5 + 0 - 2).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 54*d**2. Let u(g) = g**3 - g**2 - 6*g + 10. Let w be u(4). Let y(j) = -75*j**2 + 37*j**2 + w*j**2. What is a(y(m))?\nAnswer: 864*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/6)\/((-15)\/(-1530)). Suppose -16*d - t + 1698 = 0. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 68\/(-18) + 75\/27 + -3. Let r be q\/3*(-3)\/2 + 1. Suppose r*y = 506 + 205. What are the prime factors of y?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1411\/11 + 128. Which is the closest to k?  (a) -2  (b) 0.3  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - s + 3*x = -26, -12 = 4*s - 4*x for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 557109, 557111, 557113?\n\"Answer: 2*m + 557107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k - 22. Let a be f(-15). What is the third derivative of 122 + 119 + a*o**3 + 136*o**3 - 241 + 41*o**2 wrt o?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 804*d**2 - 363*d - 4. Let u(h) = 802*h**2 - 360*h - 3. Let j(o) = 3*s(o) - 4*u(o). Find the second derivative of j(w) wrt w.\nAnswer: -1592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.3 - 26. Let i = u + 2.7. Put i, -1\/3, -3 in ascending order.\nAnswer: -3, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*f - 136 = -12. Solve 4*r - 5 - 13 = -5*p, -2 = -f*p + 3*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 1650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 15524, 59297, 131318, 231587, 360104, 516869, 701882?\n\"Answer: 14124*a**2 + 1401*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22972363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -20*j + 174. Let w be f(9). What are the prime factors of (w - 187\/(-33)) + (-3007)\/(-3)?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.41811 microseconds to seconds.\nAnswer: 0.00008841811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -20. Suppose 0 = -4*w - 2*p - 14, -1 = w - 2*w + u*p. Sort -4, 4, w, 7.\nAnswer: -4, w, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38432007.\nAnswer: 3, 4270223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104989?\nAnswer: 67, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = s + 10. Let m be ((-12)\/16)\/(3\/(-8)). Let i = 43880 + -43889. Sort i, 1, s, m.\nAnswer: i, s, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23054 (base 7) in base 14?\nAnswer: -21d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 10:10 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-284)\/71*2\/15*(-5)\/1.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from kkkpggkmk?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 153 and 26724.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 18 - 6*t + 24. Let f(w) = 10*w - 11. Let m(g) = 11*d(g) + 6*f(g). Let y(l) be the third derivative of -l**4\/8 - 4*l**2. Give y(m(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 9 - 7*m - 1 + m**2 - 4*m + 0*m**2. Let s be v(10). Let k be 4 + (-1 - s\/(-1)). Solve -9 = -4*t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/7 - 2419947*m\/7.\nAnswer: -3*m*(m + 806649)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0.08, 2, 1, 904, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1809)\/2546 + (-1)\/6 and ((-112)\/231)\/(-2)*14\/4?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 88 and 70708.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2490129385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - 1 - ((-125 - -137) + 0 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/(8\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 41?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3237\/(-83)*40\/24?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/56 and 75\/85414.\nAnswer: 341656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/9 - 196\/6. Let l be ((-6)\/(-5))\/(t\/(-80)). Suppose 2*j - d - 1 - l = 0, 0 = 2*j + 3*d - 12. Solve -6 = -j*c + 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 10  (b) 1\/7  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-11840)\/(-200) - 42) + (-12)\/10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 10 = -3*m, 5*m = 3*o + o - 8. Suppose 2*v - 4*v + 36 = m. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 152, -7, -2\/5 in descending order.\nAnswer: 152, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239*g + 341*g + 394*g = -3634*g - 479232 for g.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25175683 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 248384 and 30112.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 - 2452840*j + 4905664.\nAnswer: 4*(j - 613208)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q. Let x be n(2). Let m be (x\/(-4))\/((-15)\/4). Let u(l) = -l**3 + 4*l**2 - l + 5. Let r be u(4). What is the nearest to 2\/5 in 2, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*f**3 + 8*f**2*n**2*t - 64*n**2*t wrt f.\nAnswer: -12*f**2 + 16*f*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 0\/(-3))\/(4 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37130640.88 to the nearest 1000.\nAnswer: -37131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/2*2\/4. Suppose p = -l + 6 + 12. Solve -d + 22 = 4*d + 2*i, -l = -5*d + 2*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**0*w))\/w*w\/(w*w**(-9\/5)))\/(w**(4\/3)\/(w\/(w\/(w**(-2)*w)))) assuming w is positive.\nAnswer: w**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(11) + -1 - sqrt(88)\/sqrt(2).\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 58642 and 84802.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*v + 1308 = -45*v - 20 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -79*w + 10. Let b(a) = -37*a + 5. Calculate 9*b(m) - 4*p(m).\nAnswer: -17*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**3\/3 + g**2\/2 + 2*g - 22. Let v be n(0). Solve -5*i = v*q - 27, 3*q - 7*q + i = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/2*(-1)\/3)\/(236\/1416)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 134580 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-3)*(-1)\/4. Let k be (8 - 6) + (-2)\/(-2). Suppose k*u + 0*u = 12. Put -3, h, u in decreasing order.\nAnswer: u, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -18.9, -5\/3, 0.5 in descending order.\nAnswer: 0.5, -2\/5, -5\/3, -18.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 412079, 412073, 412065, 412055, 412043, 412029, 412013?\n\"Answer: -d**2 - 3*d + 412083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 8*c**2 - 14*c - 9. Give v(10).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, f: 1}. What is prob of sequence wf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/108)\/((-4)\/(-6))*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 9*f = 112. Suppose 5*g + 1 = f. Let j be 0*3\/g + 34000\/5. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 4 - (3 - 1). Let o be 0 + (4 - 1)\/x. Let w be (2 - -1) + o + -1. Solve w*n - 2*n = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s**2 - 36*s + 70*s - 2957*s**3 - 34*s + 6*s**2.\nAnswer: -2957*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.069 + -5.869. Which is the closest to j?  (a) -0.2  (b) 5  (c) 1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/20*350\/42?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 794449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j**2 - 2*j + 3. Suppose 2 = -4*d - 6. Let i(n) be the third derivative of n**5\/10 + n**4\/8 - 2*n**3\/3 + 10*n**2. Calculate d*i(z) - 3*g(z).\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/58839680 and 1\/2560.\nAnswer: 235358720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 141 + 66. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.175 = 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 328169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -2, 3, -7 in increasing order.\nAnswer: -7, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)*2*1 + -2 + sqrt(245) + 3 + 0)**2.\nAnswer: 42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*q - 45*q + 11*q**2 - 28*q - 948.\nAnswer: 11*q**2 - 948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -195615 divided by 5\nAnswer: -39123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 278 + -271. Find the third derivative of 41*n**2 + 4*n**3 + 21*n**3 - n**2 + h*n**2 wrt n.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 12*x**2 - 3*x - 8. Let w be z(11). Suppose 2*r = 2*v + 52, -5*r = -4*v - 63 - 68. Suppose -n - r + w = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 955525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -0.346  (b) 0.51  (c) -2\/5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-3 + -11 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*g - l, 4*l + 5 + 3 = g. Let h = -247 - -254. Calculate the least common multiple of h and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*r - 4 = -2*f, f - 4 = -r. Solve 5*m = h - 19, 5*h + 4 = -f*m - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*g**3 - 20*g**3 + 38*g**3 - 7*g**3 + 88*g**2 - 2920*g + 157*g**2 + 6480.\nAnswer: 5*(g - 4)**2*(4*g + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13560 = -4*z - 4*t + 888, z - 2*t = 3603. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113 + 312. Let c = 728 - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 1.03\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 3.2. Let y = f - 0.2. Let n(d) = d**2 + 5*d - 26. Let w be n(-8). What is the closest to 2\/5 in w, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 20932434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42543 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15462966442 - 0.1059.\nAnswer: -15462966442.1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*c + 2750. Round c to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zmrqrdmrmdzmzdrruz. What is prob of picking 1 q, 1 r, and 2 z?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61839 is divided by 20602.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 120878343 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5*u = -360. Let c be (-20 + 0)\/(-26 + 24). What is the highest common divisor of c and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -1. Let c(t) = -t**2 + 2. Let x(b) = c(b) + 2*g(b). Let j(o) = o**2. What is x(j(s))?\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a - 12 = 0. Let g(h) = -3*h**2 + 1 - 3 - 4*h + 4 + h**3. Let o be g(a). Solve o*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by -4257?\nAnswer: -17\/4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o**3 - 5*o**2 + 94*o - 163. Give z(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**10*(p\/p**(2\/3))\/p*(p\/((p*p*p**0*p*p)\/p))\/(p*p\/p**8) assuming p is positive.\nAnswer: p**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1823 + -358. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5 - 1 = 0. Let g be (725\/10)\/(y\/(-4)). Let l be (-2)\/3 + 4\/(60\/g). What is the nearest to -1 in -4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1767 = 245*p - 367*p - 673 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -5, 477, -4 in ascending order.\nAnswer: -5, -4, 0.1, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*r + 19 = 2*r, -3*l = -2*r - 26. Suppose 4*y + 3*n = 3*y + 11, y - l = -4*n. What is the remainder when 87 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1616 = -2*j - 5*b, 16*b + 20 = 11*b. Let y = j + 805. Calculate the smallest common multiple of y and 79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2833 - 2831. Let i(j) be the second derivative of -18*j + 0 + 9*j**x - 10\/3*j**3. Find the first derivative of i(d) wrt d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x - 2*x - 2*x. Let b(c) = 22*c - 37*c + 13*c. What is v(b(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17765 is divided by 495.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a hour in minutes?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 218870975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.7104 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 11. Solve g*n - 15 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l**3 - 8*l**2 - 15*l + 93. Calculate b(-7).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 671 divide 2614887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -612 - 2*i + 19*i**3 + 1233 - 2*i - 625. Let o(j) = 627*j**3 - 133*j - 133. Give 133*l(q) - 4*o(q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 2*z**2 - 3*z**3)*(8*z + 10*z + 4*z).\nAnswer: -66*z**4 - 44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -5*k + 100. What are the prime factors of i(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3 - 16*g + 7 + 17*g. Let f = -16 + 10. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -1. Let a(l) = 3 + l**3 - 3*l**2 + 6 + l**2 - 7*l**u. What is the units digit of a(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -84*l + 243 + 30*l + 34*l**2 - 31*l**2.\nAnswer: 3*(l - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4858, 5, 0 in decreasing order.\nAnswer: 4858, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 - 2*m - 2. Let k(r) = r**2 - 30 + r + 62 - 31. Give f(y) + 2*k(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 1, 5, -1\/3, 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0507865 centuries to months.\nAnswer: 60.9438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 3*b + 1. Let a(w) = 3*w**2 - 14*w - 12. Give -a(v) + 5*t(v).\nAnswer: 2*v**2 - v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v + 7. Let y be d(8). Suppose y*t - 14*t - 2 = 0. Let 1\/4*u**4 + 1\/2*u - 1\/4 - 1\/2*u**3 + 0*u**t = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - 26.58. Let w = q - 0.306. What is w rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6 - 2428\/(-28) - (-4)\/14. Suppose n = h + 6. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 839 = -3*b, 5*v = -3*b + 1293 - 455. Let w = 381 - b. What is the highest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-2 - 0 - (-34 + 47))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21\/(-15) - -1 - 0. Let x = -84 + 80.49. Let q = x + 1.51. Which is the third smallest value?  (a) q  (b) -0.2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-138)\/(-112585)*-11)\/(3\/1*3\/(-15))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13647731?\nAnswer: 13647731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281*u + 18319 = -18773 for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2099 divided by 6.\nAnswer: -2099\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of -a**9\/1008 - a**6\/120 + a**3\/2 - a**2. Let s(g) be the first derivative of o(g). What is the third derivative of s(d) wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.631 times -55?\nAnswer: 1024.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -s**2 + 0 + 1\/3*s**6 + 0*s**3 + 0*s**4 + 0*s**5 - 7*s. What is the derivative of g(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -398 - -323. Find the common denominator of (245\/h)\/(6 + -4) and 97\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -107, -246, -441, -692, -999, -1362?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (6\/(-6) - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 8*k**2 + 9*k - 5. Let f be c(7). Suppose 3*r + f = -u - 0*u, -u - r = 3. Solve u = 2*i - 2*b + 3*b + 12, -i = -3*b - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14070.\nAnswer: 2, 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 49913, 49922, 49931, 49940, 49949, 49958?\n\"Answer: 9*s + 49904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 87956*f**6 - 256*f**2 - 2*f - 1.\nAnswer: 10554720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.3 and -1404.521.\nAnswer: -1405.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -9, 2\/11, -8, 2\/37?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(76)*-1*5)\/((-2*sqrt(196) + sqrt(196))*6))**2.\nAnswer: 475\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(-4)*3\/(21\/(-448)) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1807982 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4908329893.\nAnswer: 4297, 1142269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/3))**(-18\/11)*t**(-2\/7)\/t**(-9\/2))**49 assuming t is positive.\nAnswer: t**(3367\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3339 - -5018. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8300950 to the nearest integer?\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 15 + 21)*(-2*d + 4*d - 5*d) - 3 - 4*d + 3*d + 2 + d + 0*d + d + 0*d + 0*d - d + (-4*d + 5*d + d)*(0 + 1 - 2) - 2*d + 2*d - d.\nAnswer: -105*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104856?\nAnswer: 2, 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -40 - (7 + -13 - 2 - -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 3*x - 3897 - 15642, 0 = -3*x - 6. What are the prime factors of b?\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/3 - (-4 + (4 - 9)). What is the greatest common divisor of 12 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l + 8. Let c be v(-2). Find the first derivative of 2 - 7 + 2*p + 3 + 6*p**c + 27 wrt p.\nAnswer: 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*z - 12 = 0. Suppose -z*p = p - 15. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(1\/4)\/p)\/(p\/(p\/((p*((p*p\/(p\/(p\/p**(-3\/7))))\/p)\/p)\/p))*p))\/(((p\/p**(2\/9))\/p)\/p*p*p**(5\/2)) assuming p is positive.\nAnswer: p**(-871\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -2. Let y be (6\/20)\/(((-819)\/35)\/13). What is the biggest value in 4, y, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -3*z - 114, 0 = -5*k + z - 3*z + 218. What is the tens digit of (189\/k)\/((-12)\/(-2936))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7655*w + 15. Let g(z) = -3827*z + 8. Let d(u) = 7*g(u) - 3*q(u). Let p be d(-3). Suppose 18*x = p + 11611. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(44)\/sqrt(4) - 6*-1*sqrt(11)) + (sqrt(11)*1)**2*-5 + -1.\nAnswer: -59 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*b**4 + 2*b - 44.\nAnswer: 372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 9*k = -65. Solve 0*i - 2*i = 2*n - 18, k*i - 25 = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/4)\/(w**(-18)\/w)*(w**(-2\/5))**(-12) assuming w is positive.\nAnswer: w**(471\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.86 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 577224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g + 84 - 324. What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*v = -20*v + 4*k, 0 = -3*v + 3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 4614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**5 + 0*r**3 + 0*r**3 - 2*r**5 + 4*r**5 - r**5 + (-r**3 + r**4 + r**3)*(3*r + 3*r - 4*r).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 - 8. Let t be (48\/f)\/((-6)\/(-20)). Let w be (-3 - (-5 + t))*1. Sort 2, 0, w.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i. Let g = 2 - 1. Let k be r(g). What is the units digit of (-38)\/(-4) + k\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40.15 + -37.15. What is the second biggest value in j, -2\/9, 2\/5, -0.2, 95?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 - 123*d**2 - 456*d - 444.\nAnswer: -3*(d + 2)**2*(d + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -33133858 divided by 271589\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 708\/5 - 142. Which is the nearest to -1\/3?  (a) 0  (b) -0.2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h + 191 = 411 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 6*w**2 + 8*w**2 + 2 + 3*w - 2*w**2 - 3*w**2. Let j be o(-1). Solve -j = -2*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 2*m - 20044, 12*m - 7*m = 5*v + 50170. Suppose 4*o = m - 3506. What are the prime factors of o?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 171552?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from oojtbzt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cllal. What is prob of sequence ac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (-14 + 14 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5157\/(-2865)*138\/27?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 0 - ((-2 - -14) + -30 + 18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 363 divided by 3\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 322*b + 4 = 3*x + 327*b, -3*b + 8 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2*u - 9, -j = -0*u + 3*u - 29. Solve 5 = -6*z + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*p + 28 = 9*p, -4*q + 27 = 5*p. Calculate the remainder when 102 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-48) + (-6)\/((-18)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q - 3. Let l be y(-1). Let f(x) = 11*x + 63. Let r be f(l). Which is smaller: -21\/8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.3  (c) -1\/2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8937)\/(-662))\/((27\/24)\/((-9)\/(-6))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -n - 2. Let f = 16 - n. Solve f + 11 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/4*(-3666)\/18330.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2601\/20 + -130. Let p be (9\/15)\/(4\/5). What is the third biggest value in 3\/7, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6154170.\nAnswer: 2, 3, 5, 11, 17, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 34171711 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -efe50 (base 16) to base 9.\nAnswer: -1756786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 - 4*g + 2. Let c(x) = -3*x**2 - 6*x + 3. Let u(h) = -5*c(h) + 7*v(h). Let k(r) = 4*r**2 + 7*r - 3. Determine 4*k(l) - 14*u(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7085 is divided by 854.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1214.9 + -1215. Let v = -2 + 1.8. Let c = -0.1 + v. What is the nearest to s in c, 2\/3, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4187374489.\nAnswer: 19, 220388131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1959323 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - c = -30. Let v be ((-72)\/60)\/(6\/10 - 1). Solve -3 = v*x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 4*m**2 - 6*m**2. Let z(r) be the third derivative of -r**6\/60 - r**5\/10 + 6*r**2. Let q = -20 + 14. Give q*a(o) + z(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (12\/(-15))\/(47\/((-90136365)\/22))?\nAnswer: 2, 3, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 998*d**3 - 2079*d wrt d?\nAnswer: 5988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 2, 119810, 0, 5, -0.05, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2*x + 7 - 3, 5*x = h - 25. Suppose 9*y - h*y = -3. Solve -6 = -y*o + 4*n - 2, -o + n = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-4)*(-14)\/(-4). Let h = n - 17. Let c = h + 17. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185\/75*37\/((-962)\/(-130)).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1536 plus -0.4?\nAnswer: 1.7536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 3004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k + 35*k - 6*k - k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**6\/180 - 5*t**3\/3 + 16. Let q(h) be the third derivative of n(h). Let g(i) = -22*i**2. Calculate q(g(w)).\nAnswer: -968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of -4*n**3\/3 - 30*n**2 + 3*n - 10. Let p be u(-8). Which is the third smallest value?  (a) -2\/9  (b) 0.4  (c) p  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -511755*d = -511709*d + 2990 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 29733385 divided by -95\nAnswer: -312983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -61b62 (base 16) in base 3?\nAnswer: -202100000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 158. Let v be a(0). Is (-3)\/((3 + -1)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3280*a**2*l**3 - a*l**3 - 58*a*l**2 + 13*a wrt a.\nAnswer: -6560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2753321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a**2 - 175*a + 478. Calculate z(-61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 + 104423410302?\nAnswer: 104423410232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from paaappappapaaaaaapa.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2110 and 8018?\nAnswer: 40090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -369*u = -379*u. Let i = 917\/594 + -38\/27. Is u < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2057) + 1)**2 - (sqrt(17) + (sqrt(102)*-2)\/sqrt(6))**2*2.\nAnswer: 22*sqrt(17) + 2024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, a: 1, h: 1, s: 6}. Give prob of picking 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 3*g + 24, -2*m + 8*g - 7*g + 13 = 0. Solve 2*d - 6 = -5*b + 1, 2*b + 5*d - m = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 19) + (-9 - -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 61 + 89 = 3*x, b + 100 = 2*x. Calculate the least common multiple of x and 56\/16*(-2 + 23\/(-1))\/(280\/(-160)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7391461609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 54309113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)*-2)\/sqrt(6))\/(2*sqrt(242)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w - 1. Let k(n) = n + 1. Suppose -a + 2*a = l + 3, 0 = -5*a + 2*l. Give a*k(f) - q(f).\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -93.675664 minus -131.667?\nAnswer: 37.991336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10159 + 10163. Calculate the lowest common multiple of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 8*s**2 - 3*s + 6. Let y be j(6). Suppose 21*v - 25*v + y = 0. What is the smallest common multiple of 3 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-786)\/42 - (-4)\/14. Solve s - c = 5*n + 4*s, -5*s = 2*n + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -aa686 + 14?\nAnswer: -aa672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/780 and -38\/195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 11 - 77 = 0, 5*o = -37*o - 5*t - 202 + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -1328*h. Let t be s(-2). Let k = 53141\/20 - t. What is the common denominator of -133\/6 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3646 + 21107 = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 8*d. Let k(z) be the second derivative of 4*z - 5\/2*z**2 - 1\/6*z**3 + 0 - 1\/12*z**4. Give k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18558264 or 129907840\/7?\nAnswer: 18558264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8*r**3 + 3*r**2 + 14*r - 3. Let f(d) = -3*d**3 + d**2 + 5*d - 1. Let g(l) = -4*c(l) + 11*f(l). Determine g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1705 divided by 155?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(2\/3))**49\/(c\/c**(-2)*c*c**(-6)) assuming c is positive.\nAnswer: c**(251\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293 + 217 = -156*n + 42 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 6, f: 7}. What is prob of picking 2 f?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/4)\/m)\/m**(-3)*m*m\/m**(-5)*m\/m**(-3\/2))\/((m**(-1\/2)\/m)**28*(m*m\/((m\/m**(-2\/13))\/m))\/m**9) assuming m is positive.\nAnswer: m**(3167\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2651 = -293*s - 6139 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-9)*18\/(-12))\/(72\/24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1667687\/11317640 + -1\/207030. What is the common denominator of 19\/3 and m?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1*(sqrt(21)\/(sqrt(6)\/sqrt(2)) + sqrt(7)).\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9064 in 50.3, 0.5, 5, 0.4, -4?\nAnswer: 50.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**(-4\/3))\/t*t)\/(t*t**(-4\/17)))\/(t*t**2*(t\/t**15)\/t))**(-4\/13) assuming t is positive.\nAnswer: t**(-2224\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1004 - -995. What is the second biggest value in -407, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 99*u + 9. Let m(y) = 15*y + 1. Let a(d) = 4*l(d) - 27*m(d). Let s(h) = 6*h - 6. Give 5*a(f) + 7*s(f).\nAnswer: -3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -3*o + 19, -4*g + 4 = 2*o - 12. Suppose 0 = 4*j - g*j + 1061. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1907876 is divided by 4241?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0286 - 0.2714. What is the smallest value in 1\/69, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65567228.\nAnswer: 2, 2143, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 294 and 2?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 664 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 13*f + 135. Let c(h) = 4*h - 26. Let m be c(9). Let l(u) = -40*u - 408. Let n(q) = m*z(q) + 3*l(q). Differentiate n(k) with respect to k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 13, a: 4, h: 3}. Give prob of sequence ama.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -8660000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 125089603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 64\/(-144)*(-18)\/(-4). Suppose 3*u - 12 + 24 = 0. Put 0, y, u, 2 in ascending order.\nAnswer: u, y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -128.243 and -0.1?\nAnswer: 12.8243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-66)\/20*(-1)\/9. Let t = z - -2\/15. Solve -t*v**3 + 0*v + 0*v**2 - 1\/2*v**4 + 0 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(76)\/sqrt(64) + 2*sqrt(1216) + (sqrt(19) - sqrt(171)\/(sqrt(36)\/sqrt(4)))*5.\nAnswer: -2 + 65*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-3)\/x*x*(x*x**0\/x*x)\/x*(x**(4\/7)\/x)\/x*x**5)**(6\/7))**(5\/11) assuming x is positive.\nAnswer: x**(120\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26371\/14 + -3767\/2. Let q(g) be the second derivative of y*g**3 + 0 + 0*g**2 - 9\/28*g**4 - 6*g. Factor q(k).\nAnswer: -3*k*(9*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**3 + 38*d**2\/7 - 152*d\/7 + 40\/7 = 0.\nAnswer: -5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5413 - 5382. Solve -43 + r = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4025674 - -13?\nAnswer: -4025661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(3\/2))**22)**28*((w*w*w**(-2\/13))**(-1\/16))**(-33) assuming w is positive.\nAnswer: w**(-7909\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 + 7 + -12 - (29 - 3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23325 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 106 + -75. Which is bigger: n or -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 4)*(-1 - 3 - 2)*(32*o - 32*o - 2*o**2 + 28*o**3) in the form a*o + h*o**2 + g*o**3 + f and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 387523771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 625696532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12.7 - -107.7. Let d = 108 - n. Let z = 1 + -4. Which is the biggest value?  (a) 3\/2  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 16 = -3*b, -4*g - 5*b + 18 = -12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7984.02 years in months?\nAnswer: 95808.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -36106.77\nAnswer: -14442.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*c + 76*c - 31*c + (4 - 2 - 1 + c)*(-2 - 1 + 4).\nAnswer: 72*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2826*z + 2 + z**4 + 7 - 10 - z**2 - 2757*z + 2*z**2 to j*z**4 + a*z + s*z**2 + b + c*z**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/117363 and 41\/22649?\nAnswer: 1290993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 492, 970, 1448, 1926, 2404, 2882?\n\"Answer: 478*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 - 9*c + 5. Let k be p(5). Let l = -25 - k. Let z be -15*3*l\/10. Solve x + 2*x = -2*j + 25, 4*x + 5*j = z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -88119603, -88119610, -88119617, -88119624?\n\"Answer: -7*a - 88119596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -59, 14, 26, 3\/10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {y: 11, j: 1, m: 2, o: 3, l: 1, c: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + -2. Suppose 155 = -10*w + 65. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 84 - 45. Suppose 3*h - 5*v + 1 - o = 0, 0 = -5*h + 2*v + 57. Let n = -11 + h. Solve n*m + 3 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 10*d + 22. What is m(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -11345, 3.2, 2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46974680 and 660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rllllllagglwwggllllg. Give prob of sequence grll.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 17*t**2 + 2*t - 2. Let b(y) = 152*y**2 + 19*y - 19. Calculate 2*b(n) - 19*f(n).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44 + -28. Let g = -2 + 3. Let d = 7 + g. Calculate the smallest common multiple of d and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 150\/22 - (3978\/143 - 28)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4488, 1017, -2448, -5907, -9360?\nAnswer: -12807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 221 + -200 - (27 + 0) - (-43 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*r + 102*r = 51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41644065 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 540 - 540 + 389*c + 493*c to the form g*c + b and give g.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8214835 to the power of 1\/2, to the nearest integer?\nAnswer: 2866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 308453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 510451252 (base 6) to base 7.\nAnswer: 134040563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = v + 146 - 819, -4*v + 2701 = 5*p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1233, 3, 0, -19, 5, -2, -3 in ascending order.\nAnswer: -1233, -19, -3, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - 28. Which is the biggest value?  (a) 2  (b) l  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(931) + sqrt(931))*-4*-4)**2*3.\nAnswer: -64512*sqrt(19) + 2866944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 + 0*h**2 + 1432 - 325.\nAnswer: -2*h**2 + 1107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 - 18. Let x(q) = 3*q - 17*q**2 + y*q**2 + 9*q**2. Determine x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1513692 is divided by 278?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -677*q + 2075 - 896 = -5591 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -214, -325, -412, -463, -466?\n\"Answer: 2*h**3 - 125*h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7280 and 18205936?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -2*l + 58, -3*l - 8 = -l. Let z be (-16)\/30 - 22\/x. Let u = 0.3 + -0.3. Which is the nearest to -1\/3?  (a) -0.1  (b) z  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/66 and -97\/1039566.\nAnswer: 1039566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3349 + -3322. Calculate the remainder when 262 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -7*h**2 + 6*h - 2. Let g(l) = -4*l**2 - 4*l - 5. Let n be g(-1). Let t(u) = 4*u**2 - 3*u + 1. Let y(w) = n*t(w) - 3*k(w). Determine y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2 + 2957 + -1 - 41\/41.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 118.85 - 114.85. What is the fifth biggest value in -29, -22, 0, o, -1\/3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261338\/429 - 4\/22 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -6*w**2. Let b be n(1). Let p(i) = 4*i + 14. Let f(m) = -209*m - 215*m + 3 - 219*m + 644*m. What is b*p(c) + 28*f(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 581\/35 + 3*(-2)\/10. What is the third derivative of 7*m**6 + 19*m**2 + m**6 - l*m**3 + 16*m**3 wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5362, -5354, -5346, -5338?\n\"Answer: 8*q - 5370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110000 - -10111010?\nAnswer: 100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000079115168 to six dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 332.1 - 332. Which is the closest to -0.1?  (a) 0.3  (b) -16  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1156*x - 2469*x - 13608 = 896*x + 180795 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -365, -371, -387, -419, -473, -555, -671, -827?\n\"Answer: -y**3 + y**2 - 2*y - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2193770, 2193755, 2193738, 2193719, 2193698?\nAnswer: 2193675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -7*u - 7. Let x(h) = -h. Let w(l) = 9*l + l**2 - 2 + 6*l**2 - 8*l**2. Let r be w(8). Let k(c) = r*x(c) - s(c). Calculate k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9900 and 0.1980139.\nAnswer: -9899.8019861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1215 divided by 5?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {l: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1723 - 1720. Are m and 370 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/7)*n)**46*(n\/(n*n\/n**2))**(-13\/2) assuming n is positive.\nAnswer: n**(737\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, j: 9, k: 3, h: 4, y: 1}. Give prob of sequence jy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 + 15. Let r be ((-12)\/(-15))\/((-2)\/m). Calculate the highest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.166 + -0.174. Round i to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**4 - 132*p**3 - 4240*p**2 - 16368*p + 20736 = 0.\nAnswer: -16, -6, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1028*l**6 + 1608*l**2 wrt l.\nAnswer: 123360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-3 + -9 - (61 + -46))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 730 = 5*n + 5*y, 5*y + 422 = -0*n + 3*n. Solve 0*k**3 - 3*k**3 + 168*k**2 - n*k - 2208*k = 0 for k.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 15. Let r(w) = -6*w**3 + 2*w**2 - w. Let h(z) be the second derivative of 7*z**5\/20 - z**4\/6 + z**3\/6 + 5*z. Calculate u*h(d) + 5*r(d).\nAnswer: -2*d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = -13 + 40. Let m(s) = s**2 + 6*s - 5. Let w be m(-7). Solve -w*c + t*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -5  (c) -1\/2  (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -3*d - 2*d + 12*d - 35. Is t(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + -4 + 9)*1. What is the third derivative of -5*t**2 - 12*t**c - 4*t**2 + 23*t**5 - 14*t**5 wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*d = -1209*d - 556*d + 254533 for d.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -5*v**2 - 2*v + 3. Let h(n) = 4*n**2 + n - 4. Let o(s) = 3*a(s) + 4*h(s). Let b(g) = 111*g**2 - 677*g + 66. Let t be b(6). What is o(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 982*g + 1955. Give z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/183097 at least as big as 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 324, 681, 1072, 1503, 1980, 2509, 3096, 3747?\nAnswer: 4468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -520132 (base 8) in base 12?\nAnswer: -83736","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -15852660\/4048993 + -3\/68627. Let k = d - -225\/826. What is the common denominator of 201\/336 + 2\/(-7) and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from uhunnuhuunnnuu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 64850, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/6504 and 25\/8.\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 + 7124*o**2 - 3154076*o - 15948980.\nAnswer: -4*(o - 893)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*(-1)\/(-2)*-1. Suppose -4*y = f - 0*f, 2*f + 7 = -y. Let r = y + h. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -147*i**2\/8 + 201*i\/2 = 0. What is i?\nAnswer: 0, 268\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 11, r: 8, d: 1}. What is prob of picking 1 r and 1 p?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.9. Let t = 4.387 + -0.387. Let l = 0.1 + -0.1. Which is the closest to o?  (a) t  (b) -0.4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 47698 = -4*f, 43*f + 47699 = 47*f - u. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 68\/13 - 586\/117. Let f = -117 - -821\/7. Let y = -1 - 1. Which is the third smallest value?  (a) y  (b) q  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2, -1, -9, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 17. Suppose 3*t + z - 18 = 0, 3*t = 3*z - 2*z + d. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(1*sqrt(11)) - sqrt(136)\/(sqrt(8)*-1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2*(-3)\/(24\/(-212)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**3 - 7*c - 4*c - 4*c**3 + 11*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*u + 14. Let g be u\/6*(-8815)\/(-120). Let t = g - -506\/9. Find the common denominator of 37\/2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.01, -11, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -31432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1107 + 1125 = 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - 2482*j**2 + 9922*j - 3. What is l(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*h + 75*h - 9945600 = -102*h. Is 222 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3212958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*j - 70 + 1311*j**3 + 2*j + 135*j**2 + 70 - 4*j wrt j?\nAnswer: 7866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -123, 4\/7, 5, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n + 1. Let z be (3 - (-15)\/(-3))\/(3 + -1). Let x(m) be the third derivative of -m**5\/20 - 1698*m**2. What is z*x(t) + 2*c(t)?\nAnswer: 3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*y - 4*z + 68 = 0, 3*y + 4*z = 180. Solve -6*h = -20*h + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 18 = -10. Let k = -26 + 107. What is the remainder when k is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 6, 2, -22 in ascending order.\nAnswer: -22, -6, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/5))**(-3\/17)*(k*k*k**(-2\/7)*k*k)\/(k**(2\/5)*k) assuming k is positive.\nAnswer: k**(267\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 131, 1017, 3439, 8165, 15963, 27601?\n\"Answer: 128*p**3 - 10*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40989 is divided by 119.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/3 - 692788*p**2\/3 - 59994401618*p\/3.\nAnswer: -2*p*(p + 173197)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*f - 237568 = 15*f. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/(-24) - (-86)\/6. Calculate the common denominator of 4\/(-14)*(-19)\/2 and -10 + 10 - p\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = -22*o + 1080959 + 3804159. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 9:53 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/18, -1, 2, 5, -1\/136, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 4*n + 33, 3*r - 4*n + 11 = 44. Solve -1 = -r*p - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Let r = 1 + x. Let c = 9 + r. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 8 = 4*y, -203 = n - 4*y. Let v = 186 + n. Sort v, -3, 13, 2 in ascending order.\nAnswer: -3, v, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 814 is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -818*r + 94266 + 26798 = 0 for r.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 6*j**2 - 5*j - 2. Let z be l(-7). Calculate the remainder when (-4 - 34)*3\/(-6) is divided by (z\/24)\/((-4)\/42).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times 3.194\nAnswer: 0.03194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2665*x = -2592*x + 438 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 615 divided by 123\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2589 + 4365. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -42*h - 1. Let m(o) = 6*o. Calculate m(p(u)).\nAnswer: -252*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15907498483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2 + (-6*(-5 + sqrt(832)) - (1*3*sqrt(832) - sqrt(832)))))**2*-2 + 0.\nAnswer: -2701600 + 179200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 - -19. Suppose -p*o = -o. Suppose -5*j + 3*a + 12 = o, -12 = -0*j - 3*j - 3*a. Solve 2*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 733414 is divided by 20372?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -44 + 38. Let x(s) be the first derivative of s + 5\/2*s**2 + l. What is x(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35972815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -157363450 or -157363449?\nAnswer: -157363450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.175723t to milligrams.\nAnswer: 175723000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - 4)\/(26\/(-52)). Solve -s = 2*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 + 48 - (1 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -4. Suppose -7*j - 12 = -5*j. Let i(c) = c + 5. Let s be i(j). Sort -2, p, s in descending order.\nAnswer: p, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 915301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - g = 5*h + 30, 5*h = 3*g - 40. Let t be (8\/(-5))\/(2\/g). What are the prime factors of t\/10*(-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -165 - -183. Let r be -4 + f\/3 - 0. Factor r - 8*k + 7\/2*k**2.\nAnswer: (k - 2)*(7*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1201 (base 3) to base 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17755\/4 + -4466. Which is the third biggest value?  (a) u  (b) 6\/11  (c) 3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6534?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -699 - 1.3726593.\nAnswer: -700.3726593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 2*q = -4*i + 2488, i - 5*q = -852. Let l be 2\/5 + (i\/(-40))\/13. Solve 2 = 3*b + 3*y - l*y, 0 = 3*b - 4*y + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62 + -82. Let u = h - -141. Sort u, -15, 4.\nAnswer: -15, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f - 116*f**2 + 55*f**2 + 52*f**2 - 7 + (-2*f + 3*f + f)*(-2*f + f - f) + 7*f**2 + 4*f**2 - 3*f**2 to c*f**2 + x*f + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -39 + 21*j + 47 + 2*j + 52 - 2*j**2. Calculate the remainder when 314 is divided by b(9).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -553 = -31*l - 12*l - 37. Calculate the remainder when 1833 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 590792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1592330*v**2 + 4998163*v?\nAnswer: 3184660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 2\/3 + 546\/18?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -322 - 0.147998.\nAnswer: -322.147998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 33261+-223277\nAnswer: -190016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 121.32 times -25?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.9 + 5. Let u(t) be the first derivative of t**3\/3 - 6*t**2 + 25*t - 3. Let h be u(8). Sort 0, h, b, 1\/2.\nAnswer: h, 0, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1054457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 169\/5, -0.03, 0.72?\nAnswer: 169\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -133 - 14?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**3\/5 - 44*c**2\/5 - 968*c\/5 + 21296\/5 = 0. Calculate c.\nAnswer: -22, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 18, 12, 1 in increasing order.\nAnswer: -1, 1, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/3*(-7)\/(1050\/10)*3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -30*l**2 - 4*l - 12. Let b be k(10). Let y = -53 + 17. Is b\/y + (-2)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 127*y - 26. Let x(m) = -381*m + 78. Let n(g) = 8*t(g) + 3*x(g). Is n(-4) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.89 - -0.11. Suppose -319 = 3*w + c - 317, -2*w + 6*c = -52. What is the nearest to -0.4 in w, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d + 0*d - 8*d**2 + 6*d**2 to the form q*d**2 + v + j*d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.8 and -1.39?\nAnswer: -5.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 0, 16, 40, 72, 112, 160, 216?\n\"Answer: 4*r**2 + 4*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10978.53 milligrams to kilograms.\nAnswer: 0.01097853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 516133252.\nAnswer: 2, 19, 137, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/(sqrt(4)*-4))\/(-3*sqrt(300) - sqrt(300)).\nAnswer: sqrt(13)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -6*i - 4*i + 5*i + 3 + i. Give s(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -791289 * -18.\nAnswer: 14243202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -352040 by -1105.\nAnswer: 5416\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5581*i - 3740 wrt i.\nAnswer: -5581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -3*a**2\/5 + 11823*a\/5 - 9333324\/5 = 0.\nAnswer: 1092, 2849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3842755 + -50.5?\nAnswer: -3842805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*k - 25*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 106?  (a) 0.04  (b) -3.09  (c) 2\/7  (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -121202142607 + -0.081.\nAnswer: -121202142607.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.65062145 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.970751 centuries in millennia?\nAnswer: 0.9970751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 20, 36, 54, 74, 96, 120?\n\"Answer: n**2 + 13*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -558.4  (c) -1\/6  (d) 0.05  (e) -11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/3 and -101\/416032.\nAnswer: 1248096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -790183\/42945 + -1\/8589. Let n be 1\/(-18) + 1\/2 + 110685\/(-6345). Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 76*y**2 - 122*y - 1610. Let m be n(-17). What is the highest common factor of 252 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -217 - -217. Solve f = -5*r + 17, s*r + f = r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k**(-2\/17)*k)*k**21)\/(k**(-2\/3))**(9\/5) assuming k is positive.\nAnswer: k**(1982\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) -0.01  (b) 0.3  (c) 0.5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 5*c**2 - 4*c + 6. Let r be u(4). Let v be (r + -4 + -1)*547. Let b = v - 11485\/21. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627.871 rounded to 0 decimal places?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -6*x + 58. Calculate w(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 10*z**2 + 6*z + 5. Let i be n(-9). Let b(h) = 17*h + 16*h - i*h. What is b(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 0*d = 28*d - 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/8 - 12*j + 288.\nAnswer: (j - 48)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 11*k**2 + 4*k - 11. Let m(o) = -5*o**2 - 2*o + 5. Determine 4*i(z) + 9*m(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(((((t*t**(-33))\/t)\/t)\/t)\/t)*t)\/(t*t*t**28))\/(((t*t*t*t**(2\/5)*t*t)\/t*t*t)\/(t\/t**(1\/10))) assuming t is positive.\nAnswer: t**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 120\/63)\/(1280\/560).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -141 + 2?\nAnswer: -13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 8*u - 4. Let p be i(-7). Let v(g) be the second derivative of 2*g + 0*g**2 + 0 + 0*g**p - 1\/48*g**4. Solve v(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4094*36\/24 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*r + 15*r - 12. Suppose 24 - r = 5*i. What is the highest common divisor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -11. Suppose 7 = -h - 0*h - 4*i, -h = -3*i - z. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 84\/18*(2 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 4:30 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 1, 8, -36 in increasing order.\nAnswer: -36, -5, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 32 = 2*b. Calculate the remainder when 302\/8 - (-2)\/b is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**3 + 17 - 1032*k**2 + 1032*k**2 - 8*k as s*k + b*k**3 + t*k**2 + h and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -17*x**2 - 20*x + 19. Let j(h) = 8*h**2 + 9*h - 10. What is 13*j(z) + 6*r(z)?\nAnswer: 2*z**2 - 3*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 + -0.8. Let y be (6\/4)\/((-3)\/4). Let a = 5 + y. What is the nearest to -1 in 0.5, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*(-1)\/(-8)*-10. Let m = p + -1. Let z = m + 9. Let t(v) = 2*v - 2. What is t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -249 - -270. Is (-105)\/v + 7*13 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**2 + 54*z - 82. Let m be j(25). Which is the biggest value?  (a) -1\/3  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 16) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -151974, -152028, -152124, -152268, -152466, -152724, -153048, -153444?\n\"Answer: -i**3 - 15*i**2 - 2*i - 151956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -253.24 and 1.661.\nAnswer: -251.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-5 - -14) + -15 + 5 - (7 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g + 1. Let y be x(3). Suppose -3*v + 4*v - y = 0. Suppose -4*w = v - 134. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -846c (base 13) to base 16\nAnswer: -47a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*x - 5185 = 0, -5*k + 16*x = 20*x - 5158. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-4 - -1) + (26 - 21) - -21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 9*v - 10. Let l(y) = -y**2 - 9*y - 4. Let a be l(-9). Let f be -7 - (4 + 4\/a). Let n be c(f). Which is bigger: -3\/20 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.095, -2\/153 in descending order.\nAnswer: 0.1, 0.095, -2\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5285)\/(-23254))\/(15\/18).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -117 and 6.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47.3 + -44. Let n = h - 3.4. Let r = -0.6 + 3.6. Is r greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**4 - 4*y**4 - 2*y**4)*(1 - 1 + 2*y + (-2 + 7 - 11)*(2*y - 4*y + 0*y)).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*v - 11 = -4*d, -4*v - 32 = -5*d. Let l = 251 - 252. What is the biggest value in l, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 2:23 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 31\/589379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/128*4*212\/424.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -937, -1143, -1493, -1993, -2649, -3467, -4453, -5613?\nAnswer: -6953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**2\/4 + 147258*p + 2945460 = 0.\nAnswer: -20, 196364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -4 + -1 - -10. Suppose -i*a = -10*a + 18. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1878*l - 1836*l + 1 + 9412*l + 12589*l.\nAnswer: 18287*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/3 and -79\/151544022.\nAnswer: 151544022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -17 + 11 + -27?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 168112 and 36024?\nAnswer: 504336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 72*j + 34*j - 189 - 129. Let f be (-1)\/2*(-12 - 2). Solve -j*u = -f + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 131*y - 3144. Give z(32).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5 - 112 = 0. Let f be -2 + 18\/(-9) - 2*-55. Is r > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -137 - -121. Let j = -31917\/7 + 4552. What is the common denominator of (-2)\/(-10)*(t + 45) and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of 11*k**7\/2100 - 2*k**6\/75 + k**5\/20 - k**4\/30 - k**3\/2 + 4*k**2. Let j(z) be the first derivative of w(z). Factor j(v).\nAnswer: 2*(v - 1)**2*(11*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 464*k - 3702. Let m be j(8). Let y(b) = b**3 - 7*b**2 - 31*b + 3. Calculate y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 10100 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*a**3 + 7*a**3 - 7*a**3 + (0*a + 0*a - a**2)*(-a - a + 4*a).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = -i + 2. Let a be (38\/i)\/((2*-1)\/60). Suppose -5*u - a = -47. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 148, 302, 460, 622, 788?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = n - 26. Suppose -y + n = a - 5*y, -2*a = y - 62. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 656908.\nAnswer: 2, 7, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 7*n - 183 = 0. What is the remainder when n is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {z: 4, i: 2, y: 3, u: 1, l: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/7)*o)**(1\/50)\/(o**(-1\/4)\/o*o)**(-6\/5))\/((o\/o**(-2\/9))**(-2\/27)\/(o*o**3*o**2)) assuming o is positive.\nAnswer: o**(247336\/42525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 416779 + 633851 = 70*z. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1471929621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5851 and -151.\nAnswer: -6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 11943 = j, -r = j + 4214 - 16142. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + b + 0*b)*(4*b - b**4 - 4*b) + 34*b**5 + 140*b**3 - 140*b**3 + 0*b**3 + 0*b**3 + 2*b**5.\nAnswer: 35*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 303 + -13330323220?\nAnswer: -13330322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*a - 54. Suppose 3*i + 22 = -a. Is -12 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -4*o + 33. What is the greatest common divisor of 224 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-64)\/(-3))\/4)\/((-15200)\/4560)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnkx when four letters picked without replacement from knxnnxxkxx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*g**2 + 804*g - 804*g + 211*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3 + (sqrt(17) + sqrt(17)*-1)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 1:52 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15739.79 meters to nanometers.\nAnswer: 15739790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, b: 1, h: 2, n: 6}. What is prob of sequence nbh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 6*v. Let r be m(5). Differentiate -4*f**3 + 4*f**3 + 0*f**3 + r*f**3 + 3 with respect to f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4*f - 8, 3*f - 13 = -4*p + 6. Find the second derivative of -2*m**p + 6*m + 0*m - 2*m**4 - 4*m wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (-2 + -30)\/(-2). Let v(k) = 10*k**2 + 2*k + 1. Suppose 5*u - 7 = 3. Let f be v(u). Calculate the highest common divisor of f and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**8\/1176 - 8*a**7\/735 - 2*a**6\/35 - 17*a**5\/105 - 23*a**4\/84 - 2*a**3\/7 + a**2 + 5*a. Suppose w(j) = 0. Calculate j.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, z: 2}. Give prob of picking 2 z and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 287 - 287.599. Let y = 0.318 + f. Round y to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 10) + -41 + 32.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4ca8 - 15?\nAnswer: -4cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4887, 4743, 4595, 4443?\nAnswer: 4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1170422.945 - -5425?\nAnswer: -1164997.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbccbcqbbcccbcbcccb. What is prob of sequence qb?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/11 and -83\/4287626.\nAnswer: 47163886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -959.6760856.\nAnswer: -959.4760856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -206 + 204.91. Let g = -0.09 - w. Which is the second biggest value?  (a) 1\/11  (b) g  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - sqrt(18)\/sqrt(6) - sqrt(3))**2 + 2)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12120334 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7.66  (b) 7  (c) 1.2  (d) -14  (e) 0  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-396)\/(-400) - 1)*(-57275)\/59566?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -32 + 8. Suppose -m*y = -10*y + 200. Let i = 55 - y. Solve 0 = n - i*j + 19, 0 = -0*j - j + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.02223*4\nAnswer: -32.08892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2365.81 millimeters in nanometers?\nAnswer: 2365810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 3. Let w = j + -1. Let v be w*(-3)\/(-1 - -7). Solve v = -q - 1 + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, a: 7, t: 7}. What is prob of sequence hhaa?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g**2 + 75*g**2 - 29*g**2 - 15*g**2.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04482 * 1.\nAnswer: 0.04482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 709780\/460 + (1 - 9 - -1). Calculate the greatest common factor of 896 and o.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113909561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20485831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 - 2*x**2 + 0*x**2)*(-3 + 0 + 0).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 49*h - 66. Suppose 0 = 5*g + 4*a - 12 - 39, -3*g = a - 25. Is b(g) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11469 from 2.\nAnswer: -11467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 32385, 64784, 97193, 129612, 162041, 194480?\n\"Answer: 5*w**2 + 32384*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 864\/928 - 4\/(-58). Solve v = n - 2*q + 5, -5*q = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5984, -6608, -7624, -9032?\n\"Answer: -196*j**2 - 36*j - 5752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 12284104.8.\nAnswer: 49136419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**2 - 661*s + 18. Let i(y) = -2*y**2 - 331*y + 8. What is -9*i(b) + 4*k(b)?\nAnswer: 2*b**2 + 335*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 + 1787132*p**3 + 21445200*p**2 + 85780288*p + 114373376.\nAnswer: 4*(p + 4)**3*(p + 446771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -0.3  (c) 10149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2912352?\nAnswer: 2, 3, 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(275) + sqrt(275)*-1 + sqrt(275) + (sqrt(275) + 0)*-2)*-3 + 4 + (sqrt(275) + (sqrt(275)*-3 - sqrt(275)))*5*-3)**2.\nAnswer: 480*sqrt(11) + 633601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110630 and 212750.\nAnswer: 2765750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 245700 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.06 + 0.16. Which is the third biggest value?  (a) -1  (b) l  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 823.43 less than -36?\nAnswer: -859.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*n - 16415 + 16414 + 7*n - 3*n - 2*n + 6*n + n + 2*n - 4*n + (-3 + 2 + 2)*(0 + 0 - n) as q + l*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1038 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, -0.9, 3, -1.14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) + sqrt(110) + 2*sqrt(110)*-2 + -2*-1*sqrt(110))\/(sqrt(10)*-3*-1*6) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-303*(-2)\/6)\/(-6) and 93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*y + 9*n + 3, -3*n = -3*y + 18 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-173*f + 84*f - 24*f - 2)*(2*f**3 + f**3 + 0*f**3).\nAnswer: -339*f**4 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5 + 5*l**2 - 7*l**2 + 3*l**2. Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -255799 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2752 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 93 = 3*i, 3*n + 0*i - 148 = -4*i. Suppose 881 - 257 = 2*v + 2*a, 0 = 4*v + 5*a - 1252. Let m = v - n. What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 16*x - 74 = 0, 4*d + 72*x = 70*x - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80*i**6 - 10*i**2 - i**2 - 3 - 123*i**6 - 17*i**2 wrt i?\nAnswer: -5160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 186465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 451, 453, 455?\n\"Answer: 2*i + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 16*l**2 + 12*l + 3. Let g(x) = -15*x**2 - 11*x - 2. What is -4*a(y) - 5*g(y)?\nAnswer: 11*y**2 + 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 2*h + 54. Let x(l) = -l**3 - 3*l**2 - 3*l - 2. Let s be x(-2). Let j be i(s). Let g be j\/(-66) + 2\/(-11). Is g at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -299.1  (b) -5  (c) -2  (d) -0.3  (e) 1  (f) 1\/538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -4. Suppose -12 = -0*g - i*g. Suppose -2*q = -4*q - 2, -2*q - 8 = -3*f. What is the greatest common factor of g and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -639 - -640. Suppose -33*j + 32*j + y = 0. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 22*p**2 + 26*p - 31. Calculate q(-21).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 41 + -1 + (-145 - -122)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(1008) - (sqrt(1008) - (0 + sqrt(1008))))*1)*-1 + 3.\nAnswer: -12*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 - 2*x**3 - x**3 + x**3 + 0*x**3 + 0*x**3 + 0*x**3 + x**3 + x**3 + (0*x**2 + 2*x**2 + 0*x**2)*(7*x - 2*x - 3*x))*(2 - 2 + 2*x)*(0 + 0 + 2*x).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 6 + 2)*(4 + 0 - 3)*(t - t - 2*t) to the form d*t + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*x**2 + 8*x**2 + 8*x - 8*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1047 + 1110. Let j(f) = f**2 - f - 5. Suppose 4 = 4*y - 3*y. Let q be j(y). Calculate the greatest common factor of q and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(-1 - 179)\/(-5). What is the greatest common divisor of 36 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*q - 6*q + 17*q - 4*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.6 + 1.6. Let t = 0 - l. Let x = 0.12 - t. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a\/(a**2\/a)))\/a)\/a)**(-46))**(-2\/13) assuming a is positive.\nAnswer: a**(-92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + -2.3. Let g be 8\/24*12\/7. What is the biggest value in -5, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 601225 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5169*t + 7 - 6 - 154134*t.\nAnswer: -159303*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -24045, -48216, -72387, -96558?\n\"Answer: -24171*a + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - i + 4988*m = 4983*m - 27, 3*i - 6*m - 36 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -10201?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*q = -111, 0 = -0*a + 2*a + 2*q - 42. Let c(d) = -9*d**3 - 3*d**2 - 5*d + 2. Let u be c(-2). What is the greatest common factor of u and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 48.90927 minutes?\nAnswer: 2934556.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/1 + ((-126)\/(-9) - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 97\/4 - 24. Let k = 0.11 - 4.11. What is the nearest to w in 0.3, 1\/7, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (8 - 5 - (4 + 41)) + 0 + -8\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + -4 + 2 - -13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 minus -0.5?\nAnswer: -109.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**2 + 1855*q - 3714 = 0. What is q?\nAnswer: -1857, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/8 - 283*g**2\/4 - 141*g.\nAnswer: -g*(g + 2)*(g + 564)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -507 + 524. Suppose 0 = 3*p - 2*g + 86362, 4*p - k*g + 115168 = -19*g. Round p to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 10*w + 11. Let o(n) = 4329*n**3 + n. Let v be o(w). Is (-1)\/(4332\/v - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-212 - -207) + (4 - 0) + 33 + -39?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -103 at least as big as -13712\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 5*p**2 + 21*p + 6. Let d(b) = 8*b**2 - 7*b**2 + 5*b - b + 1. Calculate 11*d(k) - 2*f(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114800 + 787*m**3 + 114800.\nAnswer: 787*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 x, and 1 t when three letters picked without replacement from {x: 1, q: 1, y: 1, n: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 202 - 201.99078. Round y to 4 dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/5, -8\/1259, 1\/6, 0.2, -18.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.6  (b) -0.23  (c) 2  (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13*o**2. Let w(h) = -17*h. Give w(b(y)).\nAnswer: -221*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2340 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 o(p) = p**3 - 49*p**2 + 593*p - 121. What is o(28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 32\/112 - (-19)\/7. Let m = z - -4. Calculate the remainder when 17 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -3*x + 69, 4*l + 4 - 8 = 0. Let j = -12 + x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 473 = 5*r. Suppose -4*m + 121 = -w, 0 = -2*m - 2*w + r + 15. Calculate the greatest common divisor of m and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.0338  (b) -4  (c) 0  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 35, 43, 51, 59?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -289, -639, -1129, -1759, -2529?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -107, -90, -69, -44, -15?\n\"Answer: 2*f**2 + 11*f - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1. Let l = -1 + z. Let n = 0.2 + -1.2. What is the closest to l in 0, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 3 + 3)*(1 + 2 - 4)*(51*y**2 - 70*y**2 + 59*y**2)*(14 - 14 + 13*y).\nAnswer: 1040*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a097 + -4?\nAnswer: 5a093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/59  (b) 0  (c) -1  (d) -0.2  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -119*v - 4. Let z be (-18)\/36 + 7\/(-2) + 2. Let a(o) = -1902*o - 66. Let w(f) = z*a(f) + 33*r(f). Let n(q) = -q. What is n(w(g))?\nAnswer: 123*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 810 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**2\/5 - 16*q\/5 + 3 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5 = -1. Let l(k) = 1 + 0 - 2 - k - a. What is the units digit of l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*g + 54*g - 172*g + 79*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47699312 to the nearest integer?\nAnswer: 6906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 6 = -190. What is the highest common factor of n and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, o: 4, h: 5}. What is prob of sequence oto?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-1)\/9)\/(68\/204)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.1 - -2.9. Let w = -0.46 + 0.06. Let y be 7\/(-7)*(-12)\/(-22). What is the second biggest value in y, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1732, 1754, 1806, 1894, 2024, 2202?\n\"Answer: v**3 + 9*v**2 - 12*v + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3963.99996414 + 3964. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-6))\/(1\/(-6)). Let o be 13\/26 + (-189)\/t + 1. Let f = 44 + -20. What is the greatest common divisor of f and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s. Let y be (3\/9)\/(3\/27). Let o be h(y). Let l = 12 - 8. Solve 4*t - 16 = o*d, l*d - 4 = 4*t - 5*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 10:20 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 10*t - 91 = 0. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149252, -298509, -447766, -597023, -746280, -895537?\nAnswer: -1044794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 3*u - 13 = 2, 2*u = p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2214, 2213, 2212, 2211, 2210?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 68334.19 kilometers?\nAnswer: 68334190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -6)*(-11)\/33?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8371684 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuubbuubiuiuuuuuu. What is prob of picking 1 u and 1 i?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*33 + 124716\/(-3829)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g - 4*g**2 + 0*g - 8 + 6*g**3 - 4*g**2. Let v(c) = 2*c**3 - 3*c**2 - c - 3. Determine -3*i(u) + 8*v(u).\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 4*y + 14, -3*q - 2*y + 0 - 2 = 0. Suppose 67 = q*h - 43. Let p = h + -38. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 231 and 3762.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yxxxyxxx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 73443056 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -101*a*b**2*n**3*t + 2*a*n**2*t**3 - 4*b**2*n**3*t**3 - 4*b**2*n**2*t + 5*b*n**3*t**3 + b*n**2*t**3 with respect to a.\nAnswer: -101*b**2*n**3*t + 2*n**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/12*(-29)\/(3944\/204)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7848971 divided by 3373\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) -2\/19  (c) -0.06  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12929.\nAnswer: 7, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + w = 80, -2*f - 4*w = -188 + 24. Solve f - 94 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14909 times -1.4625\nAnswer: -21804.4125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 4:24 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 157, -27, -4 in descending order.\nAnswer: 157, 3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*q**5 - 228*q**3 + 228*q**3)*(46 - 81 + 11 - 79 - 54).\nAnswer: 4082*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 10*l**2 - 12*l**2 + 19*l**2 - 8*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 84805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2329262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67, 384, 1231, 2872, 5571, 9592, 15199, 22656?\nAnswer: 32227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3229?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1053134243 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 24371760659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.115197 days to weeks.\nAnswer: 1.302171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (286*a + 10 - 9 + a**3 - 236*a)*(-a - 1 + 1).\nAnswer: -a**4 - 50*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10611 and 41658?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -169404 minus -0.7?\nAnswer: -169403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4*m - 52 = 0. Let u(t) = -t + 1. Let c be u(-3). What is the remainder when m is divided by (6 - 5)*(c - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -3\/11, 4, -5 in ascending order.\nAnswer: -5, -3\/11, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19290\/80375 + (-2724)\/100.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*d + 142*d = -4*z - 32*d + 5, 0 = -2*z - 3*d + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 98 + 65 + 7)*(-28*u**3 + 90*u**3 + 9*u**4 - 7*u**4).\nAnswer: 346*u**4 + 10726*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 19*r - 181. What is the remainder when v(38) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -99*y + 1351. What is a(12)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -5. Suppose 10 + 2 = 2*n. Let z = n + 3. What is the remainder when z is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, j: 1, o: 4}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*b - 2769 = f - 1070*b, 0*f - 2*b = -5*f + 99 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (18*1\/2 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2258)\/(-19) + -211 + 874616\/4142.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14135564 to the nearest integer?\nAnswer: 3760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 divided by -1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 2*i - 4. What is the smallest common multiple of q(4) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 567454 (base 8) to base 12\nAnswer: 93350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 41.46 from -1.\nAnswer: -42.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 252167?\nAnswer: 461, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 21557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 96*o**2 - 6*o - 13. Is h(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136192 and 1062656?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1383 - 1389. Sort -5, 0, 0.1, t.\nAnswer: t, -5, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86, 126, 118, 56, -66, -254, -514?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 414*y**2 + 277*y - 557. Is 9 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343))*-1 - sqrt(343))*6 + 2)**2 - (((sqrt(343) - (sqrt(343) - 4*(sqrt(343) + 1))) + 2)**2 + -2).\nAnswer: -672*sqrt(7) + 43874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 251222295 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*s - 17*s + 724 = -3302 + 776 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -1\/3, 12\/5, -246, 0.3, 29, -0.4?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-81)\/(-27))\/(6\/(-22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**(-5))*n**(-5\/4)*(n*n**(-1)*n)**(3\/4) assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -0*r - r - 14, 15 = 2*u + 5*r. Solve 0 = -u*y + 3*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2401, 2918, 3421, 3904, 4361, 4786, 5173, 5516?\nAnswer: 5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -60. Suppose 27 = -4*c - o. Let q = -8 - c. Solve 0*l = -4*b + 2*l, -4*b + q = 3*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-26)\/(-4))\/((-17)\/(-34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*((-4)\/16*-2 + 0). Suppose c = -5*q - 5*s + 2195, -5*s + 2245 = 5*q - 10*s. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296.5335 meters in kilometers?\nAnswer: 0.2965335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 517149823 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 23066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*r**3 + 41*r**2 - 16*r**3 - 16*r**3)*(-5*r**2 + 4*r**2 + 2*r**2).\nAnswer: -r**5 + 41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o - 22. Give k(-13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {u: 4, r: 1, f: 1, t: 1, d: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-2 + 2 - -1). Is (-4)\/(-18) - (-106)\/b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -4*z**4 - 266320*z**3 - 4463628048*z**2 - 1021277248128*z = 0.\nAnswer: -33174, -232, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4)*h\/h**(-2\/21))\/(h**(3\/7)\/h**2)*((h\/(h*(h*h**(2\/7))\/h))\/(h*h**(1\/5)))\/((h*h*h\/h**(-2\/5)*h)\/(h*h\/(h**(-2\/3)\/h)*h)) assuming h is positive.\nAnswer: h**(-268\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -119, -288, -527?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p**2. Let b = 1 + -2. Let u = 3 + b. Let v(m) = -3*m - 7. Let o(x) = -x - 2. Let c(q) = u*v(q) - 7*o(q). Give t(c(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 3, -5\/4, 3105\/68 in descending order.\nAnswer: 3105\/68, 3, -5\/4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**4 - 3*m**4 + 2*m**4)*(-11 + 1 + 6).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a + 2268050?\nAnswer: 226805a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z\/z**(10\/3)*z*z)**42*(((z\/(((z\/z**24)\/z)\/z))\/z)\/z)\/z*(z**(-2\/7)*z)\/z)**(-36) assuming z is positive.\nAnswer: z**(-23364\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -2*o + 24. Let g = 24 - o. Find the second derivative of 18*h - h**2 - 22*h + g*h**2 wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8605, 16996, 25375, 33736, 42073, 50380, 58651, 66880?\n\"Answer: -t**3 + 8398*t + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -5*m + m**2 + m - 6*m + 5. Let r be l(11). Let f = 28 + r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/16 - (1 + 0) and (-5)\/(-10)*3 + (-83)\/(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence onnn when four letters picked without replacement from nnoon.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 5*a**2 - 4*a + 2. Let v be f(2). Solve s + s - v = 2*u, -s = 3*u + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w. Let n(l) = 37459141*l**2. Determine x(n(i)).\nAnswer: -112377423*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2044)\/6534 + 5\/15. Let q = l + 2\/121. Let b = -10\/27 + q. What is the closest to 0 in b, 1, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84459126881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 23*d**2 - 9*d + 4. Determine j(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (80\/220)\/(2\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**3 + 249*p**2 = 0. What is p?\nAnswer: -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 736*a**2 + a*t - 22*a + 872711*t wrt a?\nAnswer: 1472*a + t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504397726 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8144871*n**3 - 7*n**2 - 92*n + 336387 wrt n?\nAnswer: 48869226*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14964638906562 - 13*m - 14964638906562.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(54)*4)\/sqrt(2) + ((sqrt(108) + 2)**2 + sqrt(108) - (sqrt(3) - (0 + sqrt(3) + 4)))*-5.\nAnswer: -580 - 186*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*w + 50886, 0 = -7*m + 3*m + 6*w + 101762. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16\/3 + 49\/9. Suppose -3*n - 2*n + 20 = 0. Suppose -p + n*p - 6 = 0. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -73*z. Let q(u) = -2*u + 3*u + 4*u - 4*u. Give q(r(k)).\nAnswer: -73*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12985*h**4*n**3 - 270*h*n**2 - 45*n**3 wrt h?\nAnswer: 155820*h**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + -6 + -7 + 2. Let b = 16 + x. Let u = 13 + -6. Calculate the smallest common multiple of u and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/99 in -2\/3, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2782520 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x - 2*x + 0*x + 6*x. Calculate the smallest common multiple of g(3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2614427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 10*q - 5*q + 1289, 0 = -2*x + q + 2596. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2181 + 2288 = 4*l, 668 = 5*g + l. Let m = -11 - -26. Let s be m*(-2)\/(-6)*3. What is the highest common divisor of s and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -374, -5, 49, 2, 55 in decreasing order.\nAnswer: 55, 49, 2, -4, -5, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 2*f, -2*t + 20 = -t + 3*f. Suppose a + 71 = 4*a - t*y, a = 5*y + 27. Suppose 5*c = -2 + a. Solve -5*w + 32 = 4*j, 4*j - 4*w = -0*w - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -7 + 2*q + q**3 + 0*q - q**2 + 7*q**2. Let r be l(-5). Find the third derivative of 8 - r + p**5 + p**2 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 351146956 to the power of 1\/2, to the nearest integer?\nAnswer: 18739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 6:42 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.434074 millennia in decades?\nAnswer: 643.4074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u + 19. Let d be n(12). Let g(o) = 6*o - 3*o - 3*o**2 - o**2 - o**3 - 5. What is g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 1009156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.9 and -31720.\nAnswer: -60268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -14\/508069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.006 * 2874.8\nAnswer: -17.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*v + 3 - 8*v - 2*v)*(5*v - 3 - 2*v - 5*v).\nAnswer: 10*v**2 + 9*v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 115*g - 1. Let v be d(2). Is v\/3 + 4\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35525*r + 0 + 35623*r + 0.\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-679)\/(-21) + 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4061*g**3 + 589*g**2 + 28*g - 8. Let y(v) = -1354*v**3 - 197*v**2 - 8*v + 3. Let t(z) = -2*k(z) - 7*y(z). Find the third derivative of t(q) wrt q.\nAnswer: 8136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**4 - t**4 + 2*t**4 + (21 - 165 - 2*t - 239)*(t**3 + 7*t - 7*t).\nAnswer: -5*t**4 - 383*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -147 + 147 + 796*a to the form y + g*a and give g.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 a factor of 1918280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 367003360 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9*16\/864)\/(-3*12\/(-216))*55.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-63))\/((-6)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 12963*l**3 - 2*l**2 - 12*l + 8. Let r be u(-6). Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-55860)\/110 + (-4)\/22. Let n = 7995\/1786 + -130\/47. Calculate the common denominator of n and z\/3*(-4)\/(-64).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 687 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11899, 23820, 35757, 47710?\nAnswer: 59679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 59*s**3 + 6*s**2 + 4*s - 10. Let b be m(1). Solve 0 = -57*d + b*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (0 - ((-6 + 5 - -7) + 3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + 7*s - 1. Let q(w) = 3*w**3 - 18*w**2 - 135*w - 78. Let h(i) = q(i) + 6*v(i). Factor h(z).\nAnswer: 3*(z - 7)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 99082496 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 29*w + 180. Let c be d(-20). Let p(o) = -o**3 - 9*o**2 - 9*o - 4. Let f be p(-8). Solve f*s = -c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*l + 10 - 10 to the form w + k*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of -n**6\/30 - 3*n**5\/100 + n**4\/30 + 2*n + 1. Factor l(i).\nAnswer: -i**2*(i + 1)*(5*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 2*o + 1. What is the remainder when (6\/(-8))\/((-3)\/60) is divided by i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 0, -3, 5, -2, -330, -19 in ascending order.\nAnswer: -330, -19, -3, -2, 0, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**6 + 483*d**3 - 289*d**2 wrt d?\nAnswer: -120*d**3 + 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h**2 - 4*h + 2. Let j(i) = -4*i**2 - 3*i + 2. Let p be 84\/(-18) + 4\/6. Determine p*j(v) + 3*m(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (300\/(-18))\/(3\/(396\/(-8))).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q. Suppose 0 = -4*f + 7*f - 120. Let v(w) = -43*w - f*w + 142*w - 45*w. What is j(v(m))?\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 17*s**2\/2 + 2*s - 11. Let v(t) = 4*t - 3 + 2*t + 4. Suppose 2*c - 48*j + 6 = -44*j, -c = -j. Give c*w(h) - 8*v(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**5 - 98*p**4 - 108*p**3 + 13460*p**2 + 99950*p + 204750 = 0. What is p?\nAnswer: -45, -7, -5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000258369 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14272 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7b - -5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 603 and 42093.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-8)\/(-4) - 0) + -3. Let b(l) = l**2 - l + 1. Let t(n) = 2*n**2 - n + 3. Let o(p) = a*t(p) + 3*b(p). Find q such that o(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -88\/75 and -44\/1665.\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -8. Let l = -0.05 - 2.95. Let q = l - z. What is the biggest value in -1\/4, q, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*l = 124*l + 3*v - 414, 0 = 4*l - v - 532. Calculate the remainder when 2677 is divided by l.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 8*v**4 + 198*v**3 + 846*v**2 - 4928*v + 1176 = 0?\nAnswer: -14, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -41 + 13. Let g be 3 + 0 + 100\/i. Which is the closest to -1?  (a) g  (b) -0.4  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 2*m**3 + 5*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j + 14 = 0. Let f be (-1 - 1)*j\/49. What is the biggest value in f, 3, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 27 + 21)*(m**3 - 6*m**3 + 16*m**3) in the form c + q*m + h*m**2 + u*m**3 and give u.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*i - 3*h + 18, -i - 2*h + 7 = 0. Let j be (-2 - -8) + i + 2. Suppose -2*q = -j - 3. Calculate the greatest common factor of q and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 827619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 1\/5*n**5 - 1\/2*n**4 + 1\/6*n**6 + 1\/2*n**2 - 2\/3*n**3 + n - 1. Let z(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5826427.\nAnswer: 17, 37, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 21. Let p = 5.6 + b. Let s = 0.0267 + 0.0733. What is the second smallest value in -3, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 771053500 is divided by 422.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(-750)*9\/(-3*1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.23836 decades to months.\nAnswer: 4588.6032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(-4)\/(-40)*(-20)\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/11076153 or 0?\nAnswer: 1\/11076153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.2 - 12.2. What is the closest to -1\/2 in -5\/7, l, 0.3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 - 13. Let v = p - -35. Let i = 0.3 - 0.2. Which is the second biggest value?  (a) -2\/5  (b) v  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*m - 268 = 9*m + 452 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 87.12 times -0.5\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 7157, -37, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6393, 11459, 16525, 21591, 26657, 31723?\n\"Answer: 5066*n + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) -16  (c) 0.00923\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/((-32)\/(-103))*(-2)\/(-3) and 41\/74?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 97*s**2 - 8*s + 3. Let f be p(5). Let z = 9627\/4 - f. What is the common denominator of 93\/10 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/52826892 and 61\/44?\nAnswer: 581095812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 7122.52 to the nearest ten.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*f + 2928428 = -165498. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1589.\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 - 175260*q - 2630025.\nAnswer: 5*(q - 35067)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47.8 + -47.79999789. Round y to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43145, 86297, 129449, 172601, 215753?\nAnswer: 258905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/((-108)\/(-224))*(-12)\/14. Let g be 3\/15 + (-9)\/(-5). Suppose g*n - 50 = -x. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2603 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3 + -4 + 1*-4*sqrt(1872)*-2 + 1*(sqrt(1872) + -2) + sqrt(1872) + 4)**2.\nAnswer: -936125 + 6000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q*(q*q**(3\/7))\/q)\/q)\/q)\/(q*q*q**(-1)))**(-7) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/9)\/(4\/6). Let s(a) = 3*a**3 + 2*a - 65209*a**2 + 1 - 40*a**3 + 65210*a**2. What is the units digit of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**3 + 6*t**2 - 6*t. Let q(p) = p**2 - p. Let d(s) = s**3 + 9*s**2 + 10*s + 10. Let h be (6\/4)\/((-6)\/32). Let i be d(h). Calculate i*q(w) + u(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/1089 and 111\/1210.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*t - 234 - 423. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 127*v**2 + 10*v + 10. Let i = -202 - -199. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f. Let c(q) = -2*q**2 - 5*q - 5. Let r(g) = -2*g**2 - 4*g - 4. Suppose 3*m + 25 = -2*m. Let j(p) = m*r(p) + 4*c(p). Give j(d(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7852727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -233504 divided by -4.\nAnswer: 58376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 + -116. Let v = -4 - 2. List the prime factors of d*(2 + 15\/v).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 + 0.5. Let y = -5.02 - -0.02. Let k be (14\/10 + -2)*1. Which is the third smallest value?  (a) i  (b) k  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15 * -17906597.\nAnswer: 268598955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 1) + -4 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -25484+-26.97\nAnswer: -25510.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 7*f**2 - 7*f + 1. Let c be (7\/14)\/((-2)\/(-16)). Suppose d - c = 1. Is k(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 + -48. Factor -55*c + 9*c**2 - 30 - 10*c**2 + 5*c**3 - p*c**2 - 7*c**2.\nAnswer: 5*(c - 6)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-4))\/((-365)\/730).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**6\/60 + d**5\/2 + d**4\/3 - 3*d**3 + 54*d**2. Is t(15) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/1068278 and -75\/123964.\nAnswer: 36321452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 10*f**3 - 6. Let b(o) = 10*o**3 - 5. Let w(q) = 5*b(q) - 4*y(q). Let d be w(-1). Let z = d - -29. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**3 - 136*i**2 - 377*i + 6864. Give s(70).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 4 + 0*l + 3)*(-6*l**4 + 4*l**4 - 9*l**4).\nAnswer: 11*l**5 + 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 6*y**2 + 3*y + 5. What is the remainder when k(-5) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 705*t + 374. Is q(31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**4 - 186*w**3 - 203409*w**2 + 1020384*w - 1225692 = 0.\nAnswer: -234, 2, 3, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 37203 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-13 + (-432)\/(-32))*-4*7\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 168907949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3290\/141 - (0 - 2\/(-6)). Find the third derivative of -q*h**2 - 44*h**3 + 13*h**2 + 1 + 0 - 3 wrt h.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**2\/5 - 612*s\/5 - 3708\/5 = 0. What is s?\nAnswer: -6, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 4.914, -0.3, 4.6?\nAnswer: 4.914","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i**2 - 7*i + 7. Let l = 11 + -9. Let r(k) = 3 - 5*k**l + 6*k**2 + 0*k**2 - 3*k. Let f(y) = 3*a(y) - 7*r(y). Let g(j) = -4*j. What is g(f(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 4*s + 10 - 42 = 0, s - 5 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2. Suppose 2253*d - 2247*d - 18 = 0. Let p(a) = 4*a**2. Give d*p(m) - 24*w(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o - 7. Let z be s(9). Let v be ((-33)\/(-12))\/(-1) - 1*-3. Factor -1\/4*f**z + v*f - 1\/4*f**3 + 0 + 1\/4*f**4.\nAnswer: f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 82837 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 145672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -6.88. Let h = 0.02 + i. Sort h, 0, 3 in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 9:06 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-19128)\/16)\/((-6)\/8). Suppose -q - 4*t = q - r, 4*q - 3163 = -3*t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*4*1\/4)\/(1359\/(-18120))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1378 + 0.094. Let j = v - -0.043539. What is j rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2050 divide 407701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8596 is divided by 4227.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-56)\/(-60)*21\/(-56)*(-35)\/14?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000995 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/792 and -57\/440.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -11, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8249 = -596*i - 15376 - 179 - 15532 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5852 by 75711.\nAnswer: -5852\/75711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 11\/5)*40\/24. Let f be -2 + 1 + -2 + 3. What is the second biggest value in -3, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(675) + -2 + sqrt(675))**2 - (sqrt(675) + -5))*-5.\nAnswer: -2700*sqrt(3) + 54180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*r + 23*r + 20*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*(b*(b*b**(-1\/2))\/b)\/b*b)*b)**2\/((((b\/b**0)\/b)\/b*b*b)\/b*b**(-5\/3)) assuming b is positive.\nAnswer: b**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52 - -50. Let u(i) = -18*i**3 - 2*i**2 - 2*i - 1. Is 12 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**2 - 2*h**3 + 0*h**2 + (h + h - 3*h)*(4*h**2 + 0*h**2 - 3*h**2) - 3*h**3 + 2*h**3 + 0*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 13*u**3 + 6*u**2 + 5*u + 8. Let b(k) = k**5 - 14*k**3 - 6*k**2 - 6*k - 10. Let f(s) = -5*a(s) - 4*b(s). What is the third derivative of f(w) wrt w?\nAnswer: -240*w**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1133773, -4535116, -10204029, -18140518, -28344589?\nAnswer: -40816248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13194519 and 1248?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3211423 - -4?\nAnswer: 3211431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-86)\/(-6) - 18\/(-5 + 59)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -448422 divided by -149474\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 7:21 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*b = 4*b + 297 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 44*s - 130. Determine g(-41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-14)*-3)\/((-6)\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 356003707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -1\/40  (c) -39\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, d: 3, b: 7, y: 5}. Give prob of picking 2 b and 2 y.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/2809 + 5612\/8427. Calculate the common denominator of 1 - ((-61)\/10 + 0) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {l: 2, f: 4, g: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 170*j**2 + 94*j + 196. Calculate the remainder when m(-2) is divided by 243.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3 - i. Let c be q(-8). Let v be c\/(-5)*5\/2. Solve -v = 3*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33\/140 - 1\/20. Let w be 26\/(-56) - 4\/14. Which is the closest to 0?  (a) 1\/6  (b) g  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 0*w + 1\/3*w**4 + 0 + 1\/3*w**2 - 2\/3*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3*o + 5. Let y(p) = 14*p + 22. Let a(r) = 7*r + 11. Let v(k) = 11*a(k) - 6*y(k). What is 5*m(z) + 2*v(z)?\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (120\/14)\/(3\/21). Suppose -2*t + d = t. Suppose -4*x = -5*q + 44, -4*x = 3*q - 6*q + t. Solve -4*g = 5*r + 36, q = 2*g - 3*g - 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(1\/3*-3 - -2). Let v = 89\/4 + -23. What is the closest to v in w, -2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -70\/621 and 80\/21?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 at least as big as 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1342)\/44*1\/((-2)\/20). Let x = w - 1823\/6. What is the common denominator of 97\/8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/5 - i**2 - i\/5 + 1.\nAnswer: (i - 5)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -48.51?\nAnswer: 242.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**3 - 69*a**4 - 2*a**3 + a**2 + 1810*a**4 + 9 - 4 - 3 - a to o*a**4 + k + q*a + c*a**3 + n*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -32*c**2. Let r(y) = 167452*y. Determine d(r(x)).\nAnswer: -897285513728*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*n = -610 + 967. Solve -n = 5*x - v, x = -20*v + 15*v + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i*o**3*z + 16*i*o**3 + 11*i*o**2*z - i*o**2 - 11*i*o*z + i*z + 99*o**3*z - 3421*o**3 + 2*o**2*z - 2*o + 1220*z wrt o?\nAnswer: 12*i*z + 96*i + 594*z - 20526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.3 - 33.3. Let n = u + 30.01. Which is the biggest value?  (a) -0.5  (b) n  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - 10. Suppose -5*b = -4*y + 19, b - 49 = -3*y - y. Calculate the highest common factor of g and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2391\/((-267)\/(-138) + -2). Let r = l - -196662. Round r to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - (-82 + -4))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 182.5 + -182. Which is the second smallest value?  (a) 2\/3  (b) -6  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4427, -16649, -35283, -58907, -86099, -115437, -145499?\nAnswer: -174863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -5*y + 15, 3*j = y + 12 - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151017 is divided by 518?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-2)*179180\/(-51646) + (-11 - 1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4*((sqrt(208) - (((-1 + sqrt(208))*-4)**2 + sqrt(208) - sqrt(208))) + -4*(1 + sqrt(208))).\nAnswer: -464*sqrt(13) + 13395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.11 or -14621?\nAnswer: -14621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**5 + m**5 - m**5 + 0*m**3 + 0*m**3 - m**5 + 4*m**4 + 2*m**5 - 4*m**4 + (2*m**3 + 2*m**3 - 2*m**3)*(2*m**2 - 3*m**2 + 2*m**2))*(0 + 0 - 1).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.6 + -0.6. Let g = 0.7 - 0.9. Let b = 0.8 - g. What is the third biggest value in -0.2, m, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 6\/17  (c) -92.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 3*o - 2*o + (-4*o + 4*o + o)*(0 + 1 + 0))*(-2 + 3 - 4) + 2*o + 5 - 5 + 3*o - 5*o + 4*o + (2 - 1 - 2)*(o - 1 + 1) + o - 1 + 1.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2465865 and 1110?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150 and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, v: 3, j: 4, b: 2, f: 1}. What is prob of sequence fjv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -4*c - 2. Let n(d) = -d - 4*d + 4*d + c. Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 570*j**2 + 2327*j + 35961. What is r(-566)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 196482293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -3*p + 16, 4*p + 3*s - 5 = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*l + 88, 5*w - 4*l - 42 = 68. Calculate the highest common divisor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(3 + 1 + 0)*(23 - 23 - 2*r).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.6 - -5.87. Let l = s - 0.01. Let z = 0.06 - l. Which is the smallest value?  (a) z  (b) -0.1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 8*s + 38. Let w be z(12). Find the third derivative of -139*t - 37*t**2 + 273*t - w*t + 61*t**4 wrt t.\nAnswer: 1464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0.3  (b) 0  (c) -1042  (d) -3\/8  (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b - 18*b = -165 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + -2*sqrt(441) + sqrt(441)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 - (17 + -5)\/(1\/(-302)) and 7?\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 8*q**2 + 7*q + 16. Suppose -2*f = -2*w + 22, -w + 10 + 17 = -5*f. Let a be l(w). Calculate the greatest common divisor of 224 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 8*u + 96. Let l(c) = -c + 4. Let y be l(11). Is y smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4454 is divided by 553?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5*c = 72. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -11. Let z be g*(-2 + (-3 - -6)). Suppose 2*k + 12 = -4*h, -5 + 17 = -4*k - 5*h. Solve -2*a + z*a = k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((250\/20)\/25 - 100\/(-8)) + -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-132 + 92 - 147)*(v + v - 6*v)*(-2 + 2 - 2*v).\nAnswer: -1496*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/10)\/((-15)\/(-125)*-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2256*l + 13 + 2*l**3 - 2256*l.\nAnswer: 2*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 7*q**2 - 7*q + 11. Let z be t(-8). Let r(b) = 4 - 7*b**2 + b**z + 5*b + b**3 - 3*b. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*n**3 - 1209 + 107*n**3 - 19752*n**2 + 13156*n - 652 - 331 = 0.\nAnswer: 1\/3, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-2) - 230\/(-4). Let j = c + -38. Suppose 3*l - j = 1056. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -839 - -853. Calculate the highest common divisor of 427 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1152228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5731 (base 9) in base 2?\nAnswer: 1000010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 303 a factor of 20560029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -15751.5 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13522 (base 6) to base 11.\nAnswer: -1674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/35, -0.2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5576\/340 - 7\/5. Solve -18*u + j = -75 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/806  (b) 1\/6  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 - (15*12\/(-18))\/2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 442903661.1 rounded to the nearest ten thousand?\nAnswer: 442900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 331\/39 - 25\/3. Let u = -2\/63 - -20\/63. Put -4, -0.5, u, d in descending order.\nAnswer: u, d, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5 = 8*a. Let j be (3 + 5)*a\/(-2). Suppose -3*q + g + 98997 = 0, -2*q + j*g + 28902 = -37086. What is q rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1102 by 51320.\nAnswer: 551\/25660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 122560 times -86.9?\nAnswer: -10650464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 825 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 158213 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 199, 196, 195, 196, 199, 204?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 757*c**2 + 163*c**2 + 2517*c**2 + 2236*c**2 - 543*c**2 - 311*c**2.\nAnswer: 4819*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -22.35 and -25821.347727.\nAnswer: -25843.697727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 7*o - 6. Let a(g) = -g. What is -5*a(c) + t(c)?\nAnswer: 12*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2 - 2482*g\/3 = 0. What is g?\nAnswer: 0, 1241\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26277?\nAnswer: 3, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3328 and 928?\nAnswer: 96512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) -5  (c) -3  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.028058 to three dps.\nAnswer: 7.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 5*2 + -1. Let v be 59451\/298*6\/9. Calculate the highest common factor of v and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-205)\/(-6)*(-11703)\/39010?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.42883 and -1.\nAnswer: 1.42883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -22. Let z = -13 + n. Are z and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -10, 473, 1\/3 in decreasing order.\nAnswer: 473, 1\/3, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/((-9)\/(-18)*-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3b2 + 40c?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 0, -6 in increasing order.\nAnswer: -23, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-3))\/((-18)\/(-162)). Solve 7*p - a = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -8. Let f(o) = o**2 - 2. Let v be f(0). Which is the smallest value?  (a) -3  (b) l  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**6\/600 - a**5\/40 + a**4\/10 + a**3 - 3*a**2\/2 - 15. Let o(b) be the third derivative of l(b). What is n in o(n) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107012, -106966, -106914, -106856?\nAnswer: -106792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -552 + 3114*h**2 + 282 + 270.\nAnswer: 3114*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*1999.38.\nAnswer: 21993.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4766692 and 9?\nAnswer: 42900228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1403 = -9*o - 124*o - 1257 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7289*c**2 - 9*c + 170. Let q be a(30). What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -51948*a**2 - 572. Suppose -2*q + 1058 = -1230. Let y(l) = 272*l**2 + 3. Let b(z) = q*y(z) + 6*n(z). Let h(g) = g**2. Give h(b(r)).\nAnswer: 270400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 k when three letters picked without replacement from {o: 3, k: 2, g: 2, d: 1, q: 1, n: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -280 + 282. Suppose -1425 = -4*s + 5*c, -2*s - j*s = 5*c - 1415. What are the prime factors of s?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 5*o + 120. What is the tens digit of 15*(224\/o)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 1 - 40*x + 40*x + 4*x**2. Let i be u(1). Solve 2*d = -i*m + 5, 0 = -2*m + 6*m + 3*d - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 5*i**2. Let k(a) = -406*a + 63. Let g(o) = -13*o + 2. Let h(y) = 63*g(y) - 2*k(y). Give h(t(q)).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = -7*f + 3*o - 8163, -3*f + 12253 = -4*o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5875 and 7375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrororrr. Give prob of sequence roor.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -25, 2984, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 9:04 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 1643 - 3*w - 1641)*(-1 + 8 - 16).\nAnswer: 9*w - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18688 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o + 20 = 10*o. Which is greater: o or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -10331 and 12?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus -55524453?\nAnswer: 55524453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(408) - sqrt(408)*-2)*-3)\/(6*1*sqrt(8) - sqrt(8)))\/(sqrt(300) + -2*(-1*sqrt(300) - sqrt(300) - sqrt(300)) - (sqrt(300)*-1 - sqrt(300))*-5))**2.\nAnswer: 153\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*l**3 - 2*l**3 - 3*l**3 + 157 + 72*l**3 - 179*l**3 + 109*l**3 + (2*l - 2*l + 2*l)*(-2*l**2 + 3*l**2 + l**2) - 2*l**3 + 2*l**3 + l**3.\nAnswer: 8*l**3 + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + (sqrt(1377) + (-1 + sqrt(1377) - sqrt(1377)))**2 + sqrt(1377)).\nAnswer: -27*sqrt(17) + 4122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 88*w**2 + 9733*w - 1011989?\nAnswer: 176*w + 9733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 7161 = 4*u, -12*f + 14*f = -4*u + 14334. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**3*y**2 - 10*k**3 - 187*k*y**2 - 2*y**2 wrt k?\nAnswer: -6*k*y**2 - 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 106*y - 529. Determine u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -k + 2*k**2 + 3*k**2 - k as n*k + w + s*k**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 6*q**2 - q + 4. Let m be h(6). Let u(j) = -3*j - 2. Let s(r) = 3*r + 3. Determine m*s(v) - 3*u(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 612 + -608. Suppose -l*f + 2*v = -16, 3*f = f - 4*v + 8. Factor 0*u + 1\/2*u**2 - 1\/4 + 0*u**3 - 1\/4*u**f.\nAnswer: -(u - 1)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11091 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/11 + 4000*n\/11 - 11802.\nAnswer: -2*(n - 1967)*(n - 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4*v - 8. Let g be (-16)\/(-3) - 5 - (-19)\/(-3). Give x(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 735157 (base 8) to base 6.\nAnswer: 5123103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2828294, -2828292, -2828288, -2828282, -2828274, -2828264?\nAnswer: -2828252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27940 by 292.\nAnswer: -6985\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (72\/(-6) - 1)\/(3\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-364))\/((-5)\/(-35)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -3.63  (c) -26\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 divided by 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-10 - -5) + 6 - 1) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -857 * 0.34.\nAnswer: -291.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w**2 + 7*w + 259. What is t(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-4))\/(0 + -1). Let o = -458\/679 + 10\/97. What is the closest to 0 in o, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -454035 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5187 - -5191. Solve -q*i = 27 - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 25*o**2 - 40*o + 40. Let v(b) = -2*b**2 + 3*b - 3. Determine 3*l(c) + 40*v(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 38014, 152118, 342300, 608566, 950922, 1369374?\n\"Answer: n**3 + 38033*n**2 - 2*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c. Let g(h) be the first derivative of h**3\/3 + 3*h**2\/2 + 36. What is p(g(i))?\nAnswer: -2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -24. Let z = 2 - 3. Let c = z - -6. What is the greatest common divisor of c and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -0.17864.\nAnswer: -2.82136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2*b = 40975, -14*b + 50 = 11*b. List the prime factors of h.\nAnswer: 3, 7, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-4)*h**(-6\/11) assuming h is positive.\nAnswer: h**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 30. Let z = h + 23. Let n(p) = -p**2 - 8*p - 12. Let a be n(-7). Sort 3, a, -3, z in ascending order.\nAnswer: a, -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zdjps. Give prob of sequence jds.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 1:18 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 = -6*f + 350. What is the remainder when 98 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v + 2*v + v + 3*v - 3*v + v + (1 + 0 - 3)*(v - 2 + 2) - 10 + 10 - 7*v + (-3*v + 6*v - v)*(1 - 1 - 1).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - 3. What is the remainder when 187 is divided by ((l - -9) + 7\/2)*38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11000 - 7259. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**5)\/q)\/((((q*q**(-1\/11)*q)\/q)\/q)\/q))\/(q*q**(-5)*q**(-24)) assuming q is positive.\nAnswer: q**(375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6) + (-19)\/(-33). Let w = f + -29\/44. Suppose 0 = 7*c - 3*c. Are c and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00061732951 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25151 divided by -653?\nAnswer: -25151\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11 + 23*j**3 - 23*j**3 + j**5 + 2*j**5 + 2*j**5 - 2*j**5 + 2*j**5 + j**2 - j**2 + (2*j**4 - j**4 + j**4)*(j + 2*j - 2*j) + 4 + j**5 - 4.\nAnswer: 8*j**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003839582 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34416 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.2, 311222658 in increasing order.\nAnswer: 0.2, 3, 311222658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k*m**3 - k*m**2 - 2154*m**3 + 147*m**2 + 6 wrt m?\nAnswer: 6*k - 12924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*b = -12 + 67 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 + 40. Find the third derivative of g*p + 9*p - 24*p + 5*p**2 - 17*p**4 wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-17)\/68*(-4)\/(-5)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6210 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1726512989?\nAnswer: 8689, 198701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 less than 873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 - -25. Suppose 4 = p, -4*l - p + x = -3*l. Let h(y) = 4*y**2. Let n(o) = 5*o**2. Calculate l*n(j) - 4*h(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z - z**2 + z)*((-1 + 1 - 2*z)*(-z + 6*z - 3*z) + z**2 - 5*z + 4*z - 4*z) as g*z**3 + b*z + c*z**2 + a + j*z**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8328 is divided by 373.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-15)\/f)\/(f*f**(-1\/15)) assuming f is positive.\nAnswer: f**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/2)\/(60\/4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 - (7\/(-5))\/((-19)\/(-76)). Sort 1\/26, b, 0.3 in increasing order.\nAnswer: 1\/26, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xyxxxyxxxyxx. Give prob of sequence xyyx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 659*i = 663*i - r - 9577, 2*i - 4791 = r. What are the prime factors of i?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*-4.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 159962?\nAnswer: 3\/159962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -248*q + 2540. Give c(10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 988 + -592. Let x = f - 289. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 848031 (base 9) to base 15\nAnswer: 9e731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 71958, 72105, 72252, 72399?\n\"Answer: 147*c + 71811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2115688*w + 77086719 wrt w.\nAnswer: -2115688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 1)*(-2*x + 2*x + 3*x) + (0 + 1 + 2)*(-41*x - 5*x + 6*x) to a*x + f and give a.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2. Let l(b) be the third derivative of 7*b**4\/12 - 42*b**2. Calculate l(t(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -17116.6 to the nearest 100.\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (5 - -2)) + (-9 - -9 - 24) + 51?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**5 - 5600*o + 170 - 340*o**2 + 2*o**5 - 10*o**3 + 5605*o + 170*o**4 = 0.\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.13 + 160.13. Let c = 98 - y. Let o = c - -62.0001. What is o rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2245 and 40.\nAnswer: 17960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + g**2 + 4*g - 3. Let w be r(2). Let p(b) = 8*b**2 - 2*b + 2. Let k be p(w). Solve 3*j - k = c, -2*j + 2*c = -j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 303 - 247. What is the greatest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 5*i + 2. Let q be w(0). Suppose 5*x - 3 = -4*u + 8*u, -u + 9 = q*x. Is 2*u\/(18\/87) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112741063?\nAnswer: 97, 1162279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1125 less than 12.41417?\nAnswer: -1112.58583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 21 = -4*d, 0 = y - 4*d - 0 - 1. Suppose -3*v = y*u - 253, u = 3*u + 2*v - 98. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -431\/16534 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f - 1. Let p be (-1)\/(-1 + 4\/6). Let g be d(p). Suppose 3*h - 8*h - 3*q = g, 5*h + 5*q = -15. Solve 4 = 4*s - 2*r, h*s - 2*r = 3*r - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74 by -37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -18*g + 8*g. Solve -h + 5*p - 10 = 15, 4*h + g = -2*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13902?\nAnswer: 2, 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*q**5 - q**4 - 166*q**3 + q + 3187?\nAnswer: 100*q**3 - 12*q**2 - 996*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/6)\/(3\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 36*f - 218. Calculate the remainder when 267 is divided by i(10).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) + -4*sqrt(704)*2 - (sqrt(704) + 1 + (sqrt(704)*1 - sqrt(704))) - ((sqrt(704) - (sqrt(704)*3 + 5)) + sqrt(704) + (2 + sqrt(704))*-5))**2.\nAnswer: -448*sqrt(11) + 3012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 - 3*i - 35. Give o(8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - m = -24276, 4*c + 3*m - 48428 = 118. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = 3*z + 18*z - 299 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 5:48 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 186*t**3 + 4*t**2 - 4*t + 25. Does 11 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -30*r**2. Let b(y) = 14*y + 15. Let k(n) = 8*n + 9. Let t(m) = 3*b(m) - 5*k(m). Determine l(t(w)).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 10:28 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-7 - -14) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2392\/11592 - (22\/(-18) - -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2528 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 9276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*u = d + 50*u - 11440, 4*d - 3*u - 45852 = 0. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*i - 5 + 12*i**3 - 57*i**3 - 11*i**2 + 17*i + 11*i**2 in the form x*i**3 + k*i + p + t*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n - 20*n**2 - 2014*n**3 - 91 + 2017*n**3 - 3*n**2. Determine z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k - 115. What is m(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-164050)\/(-772) - 500)*1\/(1 - (-7)\/(-2)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 6\/9719, 5, 4, 1, -0.4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2331 and 26860113?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g*i**3*u - 12*g*i**3 - g*i**2*u - 14*g*i*u**3 + 34*g*u**3 - 38*i**3*u**3 + 2*i**3 + i**2*u**3 - 2*i**2 wrt i.\nAnswer: -6*g*u - 72*g - 228*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/22830, 3, 7\/3.\nAnswer: -1\/22830, 7\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 3*s + 2. Let y be x(2). Let k = 2 - y. Suppose k*m - 7 - 1 = 0. What is the smallest common multiple of m and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -15*s**3 - 2*s - 2. Let w be l(-1). Suppose 3*f = -0*f + w. Sort -2, -9, f in decreasing order.\nAnswer: f, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 442220893 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(-4) + -6 + 1. Let r(p) be the second derivative of -p**3\/6 + 2*p**2 - p. Let h(l) = 6 + 3 - l - 4. Give b*h(d) + 6*r(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tmmtttkmtkk. What is prob of picking 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 + 12*m + 10. Let w be -2*(1 + 9\/2). Let g = w - -20. Is z(g) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11420\/7 bigger than -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -281706*a**2 - 281753*a**2 + 563445*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -166*q + 8. Let d be m(2). Calculate the remainder when 2*(-2)\/14 + d\/(-7) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-1 + 3 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 335\/210 + (-1)\/(-2) and -43\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3577 = -16982. Let n = a - -19148\/7. Let c = 54 - n. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 975, 1953, 2931, 3909, 4887, 5865?\n\"Answer: 978*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0*u = 4*j - 8, -3*j = -2*u + 5. Suppose u*y - o = -0*o + 28, -2*y + 2*o + 14 = 0. Let w(a) = 3*a + 4. What is the units digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**4 - 2*v**3 - 684*v**2 + 94*v + 7 wrt v?\nAnswer: 24*v**2 - 12*v - 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (351 - 276) + (-4540)\/60.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**6\/6 - 19*l**5\/4 + 85*l**4\/4 - 245*l**3\/6 + 40*l**2 - 32*l - 72. Let h(w) be the first derivative of z(w). Factor h(b).\nAnswer: 5*(b - 16)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/5)*d)**(7\/8) assuming d is positive.\nAnswer: d**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 114573 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w**5\/5 + 999*w**4\/5 - 15207*w**3\/5 - 175464*w**2\/5 - 63300*w - 13680 = 0 for w.\nAnswer: -95, -6, -2, -1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188924*u + 16 - 16.\nAnswer: -188924*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -p**5\/120 - p**4\/12 - p**3\/3 - 2*p. Let o(i) be the second derivative of f(i). Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**3 - 32*g**2 - 28*g - 17. Determine p(-15).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 77*q**3 + 52*q**2 - 9*q. Let f(p) = 38*p**3 + 25*p**2 - 4*p. Let a(r) = -9*f(r) + 4*m(r). What is the third derivative of a(d) wrt d?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101000101111 - -100100010000?\nAnswer: 11001100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a**3 - 8*a**2 - 268*a - 780. What is w(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 - (-39 - -50)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -154.83 + 156. Let q = b + -1.17. Which is smaller: q or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2)\/t*(t\/(t\/t**14*t))\/t)\/(t**(1\/6)\/(t**11\/t)) assuming t is positive.\nAnswer: t**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014589 rounded to four decimal places?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -5 - (793\/26 - 29)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 6*w**2 - 7*w - 1. Calculate v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - (-1218490104)\/65) + (-4)\/(-10). Round t to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdpr when four letters picked without replacement from {k: 1, c: 1, q: 1, p: 2, r: 2, d: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 15*g - 19*g + 198, g - 2*a - 37 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 2:24 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -u - 2*d + 1440, -724 = u + 3*d. Let h = u + 1242. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1721206\/(-96) + 9 + -8. Let m = -17927 - d. Calculate the common denominator of m and -58\/5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7101025 centuries in years?\nAnswer: 71.01025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1756856.894551 take away 0.3?\nAnswer: -1756857.194551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -17035 at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 280 and 9380.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-140)\/630 + (-6053530)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -0 - 45. Let p be (24\/z - -2)*-2. Let o(l) = l**3 + 4*l**2 + 3*l. Let j be o(-2). Which is the nearest to j?  (a) 3  (b) p  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i**2 + 240*i - 973. Calculate d(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 12*g - 887. What is r(75)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 + 13*z + 22. Suppose -15*p + 240 - 30 = 0. What is the lowest common multiple of x(p) and (-26)\/(-4) + 3\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -74 - -144. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.11*-2.991.\nAnswer: -0.32901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 120 = -h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 + 87 - 45)*(i + 2*i - 2*i + (-1 + 1 - 2*i)*(-6 + 4 + 1))*(-1 - 4 + 3).\nAnswer: -480*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 8.6  (b) -62  (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/189381 equal to -0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/19, -2\/7, 7\/169, 0, 0.018 in increasing order.\nAnswer: -2\/7, -2\/19, 0, 0.018, 7\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 40075417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + r - 2*r)*(-r - 2*r + 4*r) + 6*r**2 - 29*r**2 + 48*r**2 + 3.\nAnswer: 23*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2785976361 to the power of 1\/2, to the nearest integer?\nAnswer: 52782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.7 + -4.1. Which is smaller: k or 21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9204 + 1944 = 326*r + 9543 + 475 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/(-4))\/(7\/42). Let l be c\/(-72)*922 - (-10)\/8. Which is bigger: l or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3518 + 8222. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 582 divide 114812219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 + u**2 - 2*u**2)*(6*u - 5*u + 3*u) + 0*u**2 + 0*u**2 + 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.06 - 6.06. Let s(b) = b**3 - 2*b**2 - 3*b - 3. Let q be s(3). Let y be (1 + q\/2)\/(25\/(-20)). Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011110100 (base 2) to base 16\nAnswer: -2f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 272*g + 2324 + 940 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 90 - 11. Is s 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 39951914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 7 = 34. Let d = -41 - u. Let m(z) = -z - 10. Calculate m(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 10 + (66 - 66) + 29?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - (-3 - -4 - -2) - -6. Suppose -v*u - l - 3 = 0, 3*l - 6 = u + 11. Is u at least -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 13, h: 6}. Give prob of picking 2 z.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 l, and 1 u when four letters picked without replacement from {r: 2, u: 4, l: 2, k: 1, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6295 is divided by 390.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55 and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 8*f - 6. Let u be r(12). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -128*b + 265*b - 236*b + 198 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - j - 103 = 0, 9*k - 5*j - 83 = 6*k. Suppose -f = 5*n - k, 8*n - 3 = 5*n. Solve -8*s + f = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 1312*b**2 - 82323*b + 177. What is u(60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 1, y: 11}. What is prob of sequence ny?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d - 2 + 8 - d + 60.\nAnswer: 6*d + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 192061 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -130 - -141. Find the second derivative of 43*k - 10*k**5 - y*k + 8*k wrt k.\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - 10 - (-44 - (-13 - 26))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 7.9  (c) 2\/7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 25. What is the remainder when (-4 + 20)\/((-2)\/(-4)) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 90 + -42. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 393876?\nAnswer: 1575504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4167 - -4182. Suppose -c = 3*j + c - 23, -3*c - 3 = -3*j. Solve -s = -2*l + j*p + 5, -l - 2*p = 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1741 - 1739. Sort 0, 105, j.\nAnswer: 0, j, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 211269789 and 70423263?\nAnswer: 211269789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 406 divided by 7.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 4 + 4)*(-2*d**2 + 2*d**2 + d**3) + (-70 + 70 - 2*d)*(-d**3 + 2*d**3 + d**3).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/3*-63)\/(861\/(-738))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2648 and 3252406?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -35078*l + 6068500. Give q(173).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 101*q**3 - 17*q**2 + 15*q**2 - 91*q**2 wrt q?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.7 less than or equal to -1195.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42205\/6 - -196995\/28. Let k = 1\/28 - z. Is k smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 7*z = 6. Let g be -2 + 89\/3 - (-2)\/z. Suppose 0 = d - g - 27. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -11*g**2 + 4*g + 6. Let p be -4 + (3\/9*69 - 4). Let t(w) = 32*w**2 + p*w + 18*w - 44*w - 17. Give 17*h(c) + 6*t(c).\nAnswer: 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/51)\/(6\/(-32)*(-648)\/(-162))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4 + 74)\/(-7 + 8) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**3 + 7*s**2 + 9*s - 5. Let p = 542 + -539. Let v be k(p). Solve -v*h - 7 + 27 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20722 is divided by 10351.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 11*h**2 + 2*h - 41. Is 5 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 y when four letters picked without replacement from yyyyhyhhhyhyyyyhhyy?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.6 + -4.1. Let n = r + -2.5. Which is the nearest to n?  (a) 0.3  (b) 3\/7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 202000310?\nAnswer: -202000312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 4)*(-7*x + 4*x - 3*x)*(2*x**2 - 1 + 85*x**4 - 89*x**4 - 3).\nAnswer: 48*x**5 - 24*x**3 + 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 1)*(-6 + (-124)\/(-8)). Let n be (i\/57)\/((12\/(-3))\/(-4)). What is the third smallest value in 214, 2, n?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25611 + 38592 = -2750*h - 18297 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3434 + 6639. What are the prime factors of f?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 973.2844 millennia to years.\nAnswer: 973284.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**3 + m**3 - 2*m**3)*((4 - 2 - 1)*(-4*m + m + m) - 2*m + 2*m - 2*m) - 6*m**4 + 0*m**4 + 15*m**4 as n*m**3 + t*m + l*m**4 + q*m**2 + g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/6 - (-13)\/39. Let w be (-15)\/(5\/s)*5. Solve 4*n - 5*j + 20 = 0, -5*n - w = 5*j + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 8, s: 3, k: 7}. Give prob of picking 2 k and 1 n.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000011111011100 (base 2) in base 10?\nAnswer: 67548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*i - 40*i - 5*i.\nAnswer: -121*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/2*-1*0. Let z = -34.2 + 29.2. What is the second biggest value in c, z, 33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 1. Let z be 3\/(-4) + 2\/(-8). Let t(w) = 7*w + 13. Let f(c) = z*t(c) - 6*b(c). What is f(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 361*n - 364*n + 186, -n = 2*i - 130. Calculate the remainder when 11962 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 19, -2 in decreasing order.\nAnswer: 19, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6*(-3)\/63 - (-72)\/7. Suppose 198 = g*x - 2. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*94*(-3)\/12. Suppose l*j = 43*j + 16. Suppose r + x - 17 = -3*r, -j*r = -x - 7. Solve r*w + 5 = 3*q - 10, w - 2*q + 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 - -74. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27623\/11 + 2509. Calculate the common denominator of -13\/4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from veiezepziwewvpv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 104.1053126.\nAnswer: 103.8053126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 6*d + 168. Let o = 108 - d. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -878 greater than or equal to -879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1025 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-59 - 4))\/((-2)\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 6*d + 36. Let k be (-2)\/9 - d\/54. Suppose -1 = -k*n - n. Is n != 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179955 divided by 19995.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -150136, -149880, -149640, -149416, -149208, -149016?\nAnswer: -148840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 2) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-4\/23)*a\/(a*a*a**(3\/8))*(a**3)**(-14) assuming a is positive.\nAnswer: a**(-8013\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 142\/(-14) + 3\/21. Let p be (-4)\/b - (-47)\/(-5). Is (-3 - p) + -2 + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*h*i + 392*c*h*x + 92*c*h - 2*c*i*x + 11*c + 9*h*x + 7*i*x + 3957*i + 2*x - 2 wrt h.\nAnswer: 2*c*i + 392*c*x + 92*c + 9*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - ((18 - 60 - -21) + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(17)*-1 + sqrt(153) + 1)**2 + (sqrt(51)\/(sqrt(3)*2*4))**2.\nAnswer: 24*sqrt(17) + 6673\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7602122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 12, d: 1, r: 3}. What is prob of sequence yrdy?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 20 = 3*o, 12*o = 17*o + 5*u - 30. Let z(p) = -2*p**3 + 6*p**2 - 5*p + 4. What is z(o)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence waw when three letters picked without replacement from awgwwwwgaggwwaaagaa.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 852907081 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 45 = -0*r. Let y = -17 + r. Let p = -11 - y. Sort -4, p, 3\/5 in increasing order.\nAnswer: -4, p, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10553?\nAnswer: 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 2:37 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 221405761 and 501.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0033588 to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**3 - k + k + (-3*k - k + 2*k)*(4*k - 4*k + 2*k**2) + 12*k**2 - 12*k**2 - 2*k**3 - 22*k + 7*k**3 + 22*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224329 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + (126 - 77 - (-2 - 12))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -441, 49, -6 in descending order.\nAnswer: 49, 9, -6, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 72955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -80*k**2 - 886*k - 6. Let g be q(-11). Calculate the greatest common divisor of g and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 10:50 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 739 - 698. Solve -76 = 3*l - u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 45 = -20*l + 15*l, z + 5*l + 29 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -2854\nAnswer: -14270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(10 + -2) - (-97)\/(-2). Let y = o + 55. What is the highest common divisor of 54 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 92*k**2 + 96*k wrt k?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 29568 divided by 176?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 256\/24 - -5*(-8)\/60. What is the highest common factor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13\/3?  (a) -4\/3  (b) -0.02  (c) 8\/11  (d) -3  (e) 1\/2  (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171967*k**3 + 171929*k**3 - 176*k**2 - 343928*k**3 + 176*k**2.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1521 + -454. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02591 - -3.97409. Put d, 98, 5 in descending order.\nAnswer: 98, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 393327.9 kilograms?\nAnswer: 393327900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, -4, -1233\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -209 minus 2667423.90395?\nAnswer: -2667632.90395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 23, -3, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + l - 1. Let o(c) = -35 - 498*c**3 + 499*c**3 + 12*c + 4*c**2 + 87. Let h be o(-4). Let m(y) = -3*y**2 - 6*y + 11. What is h*g(t) + m(t)?\nAnswer: t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*u - 46*u - 4 = 0. Suppose 9 = -u*c + 5*c + 3*w, 0 = c - 5*w + 15. Solve c*l + l - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and 2185.\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2844.4 - 16?\nAnswer: 2828.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 63 and 96894?\nAnswer: 96894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7408282247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4 = 12, 8 = -3*d - 2*v. Suppose -3*h - 44 = -3*a + 31, 3*a + 2*h - 50 = 0. Suppose d - a = -x. Solve -m - q = 0, 0 = m - 2*m + 4*q - x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o - 524 + 124 = 0. Let h be o*(6 - (-10)\/(-2)). What is the greatest common divisor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8152b9 (base 15) to base 3\nAnswer: 102120002210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1266655)\/(-14990) + (-19)\/2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = s - 4. Let l(w) = w**3 + w**2. Let m(r) = 8*r**3 - r**2. Let t(a) = s*l(a) + m(a). Find the third derivative of t(k) wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-10))\/(90\/(-75))*(-2 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -809047.1197 - -809012. Let g = -581 + 616.1. Let f = y + g. What is f rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1852 * 67.701\nAnswer: 125382.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 12:09 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + 89. What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -71 in 2, -7, -3, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21461500 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, a: 3, f: 6}. Give prob of sequence oa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*d**2 - 572*d + 572*d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 5:23 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.845 in -1\/13, 4, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2450910 - 21.4609?\nAnswer: -2450931.4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, p: 9}. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258\/5 - (-4)\/10 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 4*p**2 + 4*p)*(-9*p - 70 + 70).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 417 = -3*f - 52, -c = -5*f + 595. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5749686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/8)\/(159\/(-212))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4932719994 + 44744.\nAnswer: -4932675250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, q: 1, b: 1, g: 2}. Give prob of picking 1 g, 1 p, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.393805 microseconds to seconds.\nAnswer: 0.000000393805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.4664 - -1.4664. Is n at most as big as -1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 29327312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3467*a*n**3*z + 238*a*n**3 + 3*a*n + 3*a - n**4*z + 116814*n**2*z + 2*n*z wrt n?\nAnswer: 20802*a*z + 1428*a - 24*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (3 - 7 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hes when three letters picked without replacement from {j: 1, s: 2, e: 4, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 29971 = -20*p. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 851 times -0.1?\nAnswer: -85.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 37\/3, 3, -2\/5, 0.1 in decreasing order.\nAnswer: 37\/3, 3, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 10 = 4*l, 3*l - 20 = 5*z + l. Let w = -11 - -11.4. Which is the closest to 1?  (a) z  (b) w  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/(-20)*110\/(-4). Let f be (b\/44)\/(1\/4). Suppose 2*k + 5 = -f*d + 55, 5*k = -2*d + 114. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -6 - (0 + (1 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v\/((v\/(v\/(v*v\/v**(-2\/13)))*v)\/v))\/v*v)*v)**(-2\/51) assuming v is positive.\nAnswer: v**(-82\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.503674 minutes to nanoseconds.\nAnswer: 30220440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -47*x - 29. Let d = 11919 + -11913. Let r(i) = -16*i - 10. What is d*n(z) - 17*r(z)?\nAnswer: -10*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**(1\/3))\/(u**8*u))**(2\/53) assuming u is positive.\nAnswer: u**(-44\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 154, 0 in increasing order.\nAnswer: 0, 1, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggqqgqqqqqqgqqqgqqq. Give prob of picking 1 q and 1 g.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8167 - 1476?\nAnswer: -9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5*a = -6434 + 389, d - 1506 = 3*a. Is d a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 u when four letters picked without replacement from {u: 1, d: 1, t: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1331463?\nAnswer: 3, 7, 19, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 39, 134, 323, 636, 1103, 1754, 2619?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 11*w**3 + w**2 + w - 1. Let a be z(1). What is the highest common factor of 36 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*n**5*p - 5244*n**2*p**3 - 1875*n*p**3 - n wrt n.\nAnswer: 60*n**3*p - 10488*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2. Let u be v(1). Let s be -7 + u\/(-1 + 2). What is the tens digit of s\/30 + 262\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g - 71 + 76 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*l**2 - 2300*l - 19424.\nAnswer: 4*(l + 8)*(4*l - 607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 382 divide 2060890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*i - 497 - 647 = 338 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -84*u - 3. Let t be n(5). Let l = -296 - t. What is l rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**2 + 4350834*t - 4732439123889 = 0 for t.\nAnswer: 2175417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 32*g*r**2 + 35*r**2 wrt g?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -d**5\/20 - d**4\/12 + d**3\/3 + d**2\/2 - 2*d. Let z be g(-1). Let m be 0\/(1*(0 - z)). Sort -5, -2, m in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -e972?\nAnswer: e975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 7*u - u**2 + 0*u**2 - 6 - 1. Suppose -7*w + 12 = -5*w. Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00133947042 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6497*w**3 + 51*w**2 - 27*w**2 + 33 - 24*w**2 + 22 + 6*w wrt w?\nAnswer: 38982*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15679 - 9290. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25300 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 230*c**2 + 1993*c + 458375. What is f(-230)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8470?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -463 + 463.00000925. What is x rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1315515 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 7:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 2 - (1 + 0)*-20\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**4 + q**3 - q**2 + q - 1. Let k(u) = -21*u**4 - 4*u**3 + 4*u**2 - 7*u - 52. Let c(p) = -4*i(p) - k(p). Differentiate c(n) wrt n.\nAnswer: 68*n**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2067 - -1348. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9942, 19855, 29768, 39681, 49594?\n\"Answer: 9913*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 250 = 8*h - 38. Suppose -3*j + 290 = 4*c, -6*j + 5*j + 5*c = -65. Calculate the greatest common factor of h and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000019851 rounded to 7 decimal places?\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 10*i - 14. Let t be l(7). Let h be (-7)\/(t\/3) - 1*-14. Let a(g) = 5*g + 2. Is 3 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4845 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3493*a**3 - 2513*a**3 + 1945*a**3 + 3*a - a**2.\nAnswer: -4061*a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*g**3*k*y - 955*g**3*k - 4*g*k*y - 40*k*y wrt y.\nAnswer: 5*g**3*k - 4*g*k - 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**3 - 5*a**2 - 5*a - 11. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10802*m*t**3 - 15*m*t**2 - 295*m - 3*t**6 - t**2 wrt t?\nAnswer: 64812*m - 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50.1347 + 49.76. Let f = -14.38 + 14. Let i = f - s. Round i to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 81*l + l**3 + 79*l + 1. Let t be (-1 - 0)*1 - -2. Let i be q(t). Which is the biggest value?  (a) -5  (b) -2\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 342 and 374313 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -3*sqrt(684)*1 + (sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171) - sqrt(171)*1))*5 - sqrt(171)))\/(sqrt(9) - sqrt(81)*1) + 3)**2.\nAnswer: -192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1891104 is divided by 11459?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*((-104)\/(-12) - 1). Suppose -b = -3*u + 13. What is the highest common divisor of 108 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 131545017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1688*a - 160. Let d(t) = -3*t. Give g(d(r)).\nAnswer: -5064*r - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25666435 to the power of 1\/2, to the nearest integer?\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*c + 160480, 4*c - 50355 - 270614 = -f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*j)*(2 + 1 - 1)*(-4 + 18 - 1)*(-3 + 2 + 2)*(-41*j - 76*j - 142*j).\nAnswer: -13468*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, r: 3}. Give prob of sequence nr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -10*l - 2*y + 31, 0 = -l + y + 7. Suppose -4*r = l*j - 5*j - 780, 2*r + 4*j = 392. What is the remainder when r is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -3  (c) -1\/2  (d) -654.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 186 in increasing order.\nAnswer: -5, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7428837.\nAnswer: 3, 13, 239, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3503*p + 44 = 4*j + 3499*p, 0 = 5*j + p - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-65)\/285 - (-4)\/(-38). Let s(l) = l + 4. Let n be s(-3). Let t = -5 + n. Which is the nearest to f?  (a) 0  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 + -15. Suppose 0 = -2*w + 12*w - 100. Let i = m - w. Solve -5*j - 5*f = -4*f - i, j + 5*f - 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -5542?\nAnswer: 6\/2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (28 - -4) - (-2 + 4) - (-34 - -28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.157, -0.1, -0.066, 2, 1.\nAnswer: -2, -0.1, -0.066, 0.157, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -113. Let c be 31\/7 - 45\/b. Factor 3*i**2 - c*i - 2*i**2 - i**2 - 8*i**2 - 4*i**3.\nAnswer: -4*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9059329889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 90645641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 120\/(-16)*12\/(-9). Factor -2*d + 410*d**2 - 414*d**2 + w*d.\nAnswer: -4*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 41, 465, 1591, 3767, 7341, 12661?\n\"Answer: 58*u**3 + 3*u**2 + 9*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c + 41*c**4 + 7*c + 158*c**4 - 2*c**3 + 2*c - 13*c to the form v*c**4 + o*c**3 + k*c + q*c**2 + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132)\/(-693))\/((-78)\/455)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 34, 502, 5 in increasing order.\nAnswer: 1, 5, 34, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b9 (base 16) in base 11?\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 209*h**3 + 128*h**3 + 56*h**3.\nAnswer: 393*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/15*(-7)\/(-8). Let j(u) be the second derivative of 0*u**2 + 1\/10*u**6 + 0*u**5 + 7*u + 0 + 0*u**3 - w*u**4. Find the third derivative of j(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223576 is divided by 9309?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - v = -12. Suppose 4*z = 8 + v. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-10) + 2\/(-10). Suppose w - 2 = y. Sort w, -4, -3 in increasing order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/((n\/n**9*n)\/n)*n*n**(-4))**(10\/11)*(n**2*n*n*n*n**5)\/(n\/n**(1\/4)*n**4) assuming n is positive.\nAnswer: n**(471\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3, -1145\/6, -0.5 in decreasing order.\nAnswer: -0.1, -0.5, -3, -1145\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 0)*((-4 - 4 + 6)*(g + 0*g + g) + 3 - 3 - 15*g).\nAnswer: -57*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*x*y**3 + 263*x*y + x + 10*y**3 - 349*y**2 - 59*y wrt y?\nAnswer: -48*x*y + 60*y - 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 11*w**4\/12 + w**3\/3 - w**2\/2 + 16*w. Determine u(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(125) + sqrt(125))*2)**2 - ((1*(sqrt(125) + 0))**2 + sqrt(125)).\nAnswer: -5*sqrt(5) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.1 + -1. Let z = -162.46 + 135.46. Which is the second smallest value?  (a) z  (b) k  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, b: 4}. What is prob of sequence bboo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-4*sqrt(243))\/(sqrt(9) - sqrt(1296)*-2).\nAnswer: -12*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 h, and 2 e when four letters picked without replacement from hgqegzbeegggggbggb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 318 + 9d6d?\nAnswer: a287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-86)\/301)\/((-4)\/(-21)) + 916726\/4. What is o rounded to the nearest 1000?\nAnswer: 229000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 3 - 3)*(-2*y + 7 - 7).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 108 = 3*g. Suppose 2*c + c = g. What are the prime factors of 5\/25 - c\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + 17*h + 75 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1020 and 360.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 68694\/13*m - 2450086\/13 + 2\/13*m**3 - 642\/13*m**2.\nAnswer: 2*(m - 107)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*j**3\/2 + 25*j**2 - 15*j\/2 = 0. Calculate j.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009891 to six dps.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2))\/((-18)\/((-1566)\/(-145))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 6, b: 1, s: 2, u: 2}. Give prob of picking 2 u and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -35*a + 33*a - 126 + 126. Let c(z) = 3*z**2 + 3*z. Determine y(c(v)).\nAnswer: -6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + -45. Let c = 25 - b. Suppose -2*q = -c - 139. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 323 divide 54024481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/28458 and 151\/20808?\nAnswer: 1935144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9 + 4.3. Let i = -15366.40002 - -15364. Let y = q + i. What is y rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t - 7*t - 4*x = -6, t - 8 = -3*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27630 and 329445.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 21*i**2 - 12*i - 524. Calculate m(18).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 56.39491mm?\nAnswer: 5.639491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.2?  (a) -0.2  (b) -2\/7  (c) -5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**4 + 2*w**3 - 2*w**2 - 3*w**2 - 2*w**2 + 0*w**3 to p*w + i*w**2 + c + u*w**3 + j*w**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 580 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7830675 is divided by 1957633.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.09  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1003 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*g**2 - 25140*g + 237112550 wrt g.\nAnswer: -34*g - 25140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -4, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/1153368 and 79\/720.\nAnswer: 11533680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6413 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 + -222231?\nAnswer: -222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -13354969 <= -13354975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/10 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - h = -10. Suppose -4*i - h*g = -68, -i + 13 + 4 = -4*g. Suppose -5*o + 17 = -28. What is the remainder when i is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -21*b + 218. Calculate p(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 15*c. Let u(y) = y**2 - 3 + 0 + c*y**2 + 2. Let a(s) be the first derivative of -8*s**3\/3 + 6*s - 2. Give -a(g) - 6*u(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -101011110011011101011 (base 2) in base 7?\nAnswer: -15125520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 91 + -639\/7. What is the nearest to 1\/2 in m, -5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p**3\/7 + 18*p**2\/7 - 54*p\/7 + 54\/7 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + 26*c + 71. Let y be t(-32). Let p = 273 - y. Solve -9*u - 1 = -p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 5, 4, -94236, 2 in decreasing order.\nAnswer: 5, 4, 2, -2, -5, -94236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wlac when four letters picked without replacement from {c: 2, p: 1, w: 1, l: 1, a: 4}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 8*n**3 + n**2 - n + 4. Let z be g(-3). Let c be z\/(-11) + 8\/(-44). Calculate the greatest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/8*-4)\/((-1)\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of l**3\/6 - 6*l**2 + l. Let q(s) = 2*s**3 + 16*s**2 - 10*s + 310. Let u be q(-10). Calculate n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2159 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.0971 + -1.2971. Put -0.4, 2, 11.23, z in decreasing order.\nAnswer: 11.23, 2, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 770, 792, 814, 836, 858?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**2 - 2380265*k = 0.\nAnswer: 0, 2380265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113001200130 - -3?\nAnswer: -113001200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 3*b**3 + 714441*b**2 + 165629208*b + 9604152720 = 0.\nAnswer: -237915, -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12391082 by 19.\nAnswer: -12391082\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/24 and -47\/2164164.\nAnswer: 4328328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.219 - 0.172.\nAnswer: -0.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -312774277, -625548557, -938322837, -1251097117?\nAnswer: -1563871397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of x**5\/30 - x**2. Let r(u) = 17 - 78*u + 74*u - 17. What is o(r(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = x, -v + 2 + 5 = 3*x. Suppose -x*t - 3*d + 19 = 0, -2*t - 4*d = -21 - 1. Solve t*h + 2*a + 31 = -2*a, a = 3*h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = 20, 0 = -3*v + g - 8 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 + -33.31. Let c = d + -271.69. Let u = 271.99847 + c. Round u to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1340*o + 288*o + 29039 = 4334 - 41571 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8674, -8672, -8670, -8668, -8666?\n\"Answer: 2*z - 8676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j - 1. Let r(a) = a**2 - a + 9. Let s(u) = -r(u) - 6*y(u). Calculate s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**4*q)\/q*q\/(q**(-1\/6)\/q)*(q*q\/(q*q*q\/(q**(-1\/7)\/q)*q*q)*q)\/(q\/(q\/q**(-2\/13))) assuming q is positive.\nAnswer: q**(1735\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1466.0001246 + 1466. Round j to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -4*n + 55640 + 25844, -101851 = -5*n + 3*w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7442*n**2 - 437*n wrt n?\nAnswer: 14884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.06 + -0.06. Let p = n - 0.9. Let s = 0.2 + 0. What is the closest to p in s, 3, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 862.0691 micrometers in meters?\nAnswer: 0.0008620691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 99448009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -38. Let k(r) = -r**3 + 47*r**2 - 89*r - 42. Let n be k(45). Solve 3*c = -4*g + 1 - t, -c - 17 = -n*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z - 4. Let j be l(0). Let s = j + 5. Suppose d + s = -3*k - 0*d, -3*k + 4 = 2*d. Put 1\/3, k, 0 in increasing order.\nAnswer: k, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) 752  (c) -0.1  (d) -9  (e) -4  (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -10933.\nAnswer: -1\/10933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = g - 124, 3*v - v + 367 = 3*g. List the prime factors of (2 - 3)\/1 + g + 1.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124647889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 551\/35 - 15. Let i = s + -6\/35. Let z = 176.7 - 176. Which is the closest to -1?  (a) i  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.23 + -1.3. Let l = 0.37 + k. Which is the nearest to -1\/3?  (a) l  (b) -4  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**3\/(y*y**(-1))*(y**(-2\/5)*y*y)**(-14) assuming y is positive.\nAnswer: y**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 51331 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71243 is divided by 101.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2298*c**3 - 5*c**2 + 0*c**2 + 5*c**2 + 2296*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 5*r + 8. Let h be z(5). Solve 4*y + h = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*z**2\/9 + 496*z - 440984\/9.\nAnswer: 2*(z + 398)*(7*z - 554)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f*f**(1\/2)*f*f*f)\/f)**(-5\/3)\/(f**(2\/9))**(-6\/23) assuming f is positive.\nAnswer: f**(-419\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -669284037*p**2 + 86*p - 766549.\nAnswer: -1338568074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -3 - (-6 - (5 - (22 - (13 + -5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -399 or -394?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 462 = 7*d - 105. Suppose -d*c = -79*c - 4. Solve g = -c*v + 2, 2*g - v + 10 - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38\/5, 3\/7, -0.08, -0.3, -4\/5.\nAnswer: -38\/5, -4\/5, -0.3, -0.08, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 14*t - 23. Let j(k) = -5*k + 8. Let y(s) = 2*a(s) + 7*j(s). Let o(f) = 15*f - 21. Suppose 30 - 12 = 3*c. Give c*o(i) + 13*y(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1513541 - 3027132 + 1513592 - 6*p.\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -206 + 205.59. Let w = v + 1.41. Let o = -26 - -30. Which is the nearest to w?  (a) -5  (b) -0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2499 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -77600052 - 14?\nAnswer: -77600066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {q: 10, j: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 1.5. Let z = u + -2.50074. What is z rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 2)*(174 - 174 + 57*y).\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 7:59 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 - 3*d**2 + 8*d**3 - d**2 - 9*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -504 - -497 - (-2 + 54 + 0 + 0 + 2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -539510726 at most as big as -539510725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 82 + -86 - (1 + -4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174 is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 2.9. Let k = 0 - -0.3. Suppose 0 = -2*w - 6, 5*j + 3*w = -0*j + 6. What is the closest to l in k, j, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634508 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101010101110011100011 + 1?\nAnswer: 100101010101110011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6\/53 - 487\/848. Let p = -712 - -12913\/18. Calculate the common denominator of c and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 13*y + 2. Give d(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 93394 and 3528.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -4  (c) -6  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4 = 3*t, o + 8 = -4*t. Suppose -4*a - 5*p + 200 = o, 4*a - 5*p - 168 = -2*p. What is the greatest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in -0.7, 1, 4, 63, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**3 - 63*i**2 + 401*i - 2. Calculate the lowest common multiple of 4620 and r(-37).\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20547244 or 20547253?\nAnswer: 20547253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - m**3 + 2 + (-5*m + 2*m + 15*m)*(3*m**2 + 4*m**2 - 5*m**2) + 2*m - 2*m**3 - m - 2*m.\nAnswer: 21*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 42*o**2 - 298*o - 4. Let f be n(-9). Solve 5*b - 10 = -53*j + 58*j, 2 = -3*b - f*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 31*s + 9. Let p(z) = -2*z. Calculate p(y(w)).\nAnswer: -62*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 0.17\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + m + 1. Suppose -12 = 10*t + 18. Let z(x) be the first derivative of -5*x**3\/3 - x**2 - 4*x + 1. Calculate t*i(q) - z(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -5*l + 34, -7*l - c - 411 + 433 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v - 1 - 7*v**4 + 3*v**4 + 2*v**4 to the form w*v**2 + g*v**4 + s*v**3 + b + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 11*x**2 + 15*x + 11. Let n be r(10). Let k be 289\/10 + (-9)\/(-90). Calculate the highest common divisor of k and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 40*a + 104. Let b be r(-38). Solve 32*q = b*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 7:57 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 806656 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -21 - -23 - (4 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3, 3, 17, 39, 69?\n\"Answer: 4*s**2 - 6*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 6*c**2 + 10*c + 131. Calculate w(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.06 - -4. Let l = -0.089 - d. Let h = -0.03 - l. What is h rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -13. Let a(d) = d**3 - 8*d**2 + 4*d - 9. Let q be a(l). What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {y: 2, h: 1, f: 11, q: 1, g: 1, j: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 71179*0.2\nAnswer: 14235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64071025 and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**7\/5040 + j**6\/144 + 4*j**5\/15 + 14*j**2. Let v(s) be the third derivative of y(s). Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.6, 56, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3\/4 - 309*y**2\/4 + 3315*y\/4 - 8475\/4.\nAnswer: -3*(y - 5)**2*(y + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 2*c**2 + 4*c + 1. Let l be b(3). Suppose l*t = t. Let v be (-3)\/(-4 + 3 - t). Solve -h - v*h = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 3\/7, -2\/7, 89, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3 = 0, -4*m - 7 = -0*n + 3*n. Let k be (-3)\/(2 + 0 + m). List the prime factors of (-20)\/k*(-9)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1777 + -861. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 176*s + 447. Is o(8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21304 - 5696 = 305*u - 1430*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*w**5 + 72*w**4 + 64*w**3 - 72*w**2 + 4*w = 0. What is w?\nAnswer: -1, 0, 1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8826 (base 9) in base 16?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-114)\/(-27) - (-2)\/(-9). Suppose -17 = -h*q + 63. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, g: 3, c: 5}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 149732507923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**18))\/(p**(-4\/11)\/p)*(p**(-6))**(-24) assuming p is positive.\nAnswer: p**(1797\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4463050?\nAnswer: 2, 5, 89261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2344 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 456 and 167808.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 57*n = -52*n + 29, -2*s + 13 = -3*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.008356 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 4110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 10) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 2*d + 13 - 11 = 0, z + 2*d = -3*d + 105 - 93 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43 - 28. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 125 and 14752100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5*o + 6 + 50 = 0, 4*o = 16. Let x = q + 17. Let z(p) = p - 8. Let r be z(x). Which is the nearest to r?  (a) 4  (b) 0  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-8) + (-5)\/(120\/(-18)). Suppose -2*y + 0*y = -4*v + 308, b = 2*v - 3*y - 154. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a\/a**11))\/(a**(-12)\/a) assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + 0*l**2 + l**2)*(3*l**3 - 3*l**3 - l**3) - l**5 - 5*l + 5*l + (0*l + 2*l**3 + 0*l)*(0*l**2 + 2*l**2 + 0*l**2).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 times -880264?\nAnswer: -10563168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 6:55 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o - 17. Let n be d(7). Let g(l) = l + 8. What is the units digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53892480, -107784959, -161677438, -215569917, -269462396?\nAnswer: -323354875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 100001101001101?\nAnswer: -100001101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161941, -161881, -161765, -161581, -161317?\nAnswer: -160961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.32 + 5. Let r be (-630)\/(-60) - (-7 - 2 - -18). Suppose -c - 5*i = -11, 0 = 3*c - 2*i - i + 3. Sort c, t, r in decreasing order.\nAnswer: r, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 112 and 2709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 142 - 141. Solve -3*s - 7 = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 0.174.\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + (20 - (5 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 - 4104*i**2 - 4107*i.\nAnswer: 3*i*(i - 1369)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*q + 80 - 80)*(q**2 - 2 + 2)*(-4 - 1 - 1)*(1 - 2*q - 1).\nAnswer: 540*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 359 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4943.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*22\/77*3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 6*r**2 + r - 4. Let b be u(6). Let c(j) = -2 - 5 + 5556*j**b - 6 + 3 - j. Let f be c(6). Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (4 - (-9 - -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21.7 + 24.59. Let n = -2.99 + m. Which is the second biggest value?  (a) 0  (b) n  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*((d*d\/(d\/(d\/d**(-10))))\/d)\/d)\/d)\/d)\/d*d**2*(d\/(d\/(d**8*d)*d*d))\/d**(2\/11) assuming d is positive.\nAnswer: d**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of ((-48)\/15 + 2)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + -1)\/(32\/656). Let u = 100 + p. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 5*o + 5. Let u be r(-5). Let i be 5 - (2 + -1) - u. Calculate the remainder when ((-7)\/14)\/(i\/200) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12580c16 - 4?\nAnswer: -12580c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -b + 10, -2*j + 334 = -29*b + 477 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16851 + -16851.030124. What is r rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-7 - (-5 + 4)) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31724272 - w**3 - 31724272.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -19579, -39156, -58733, -78310, -97887, -117464?\n\"Answer: -19577*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5*sqrt(475)*-3)**2.\nAnswer: -427500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 31, 41, 57, 79?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.388 milligrams to grams.\nAnswer: 0.036388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 7*m**2 + 6*m + 1. Suppose 0 = -2*d - 5*s - 26, 3*s - 2*s - 22 = 3*d. Is 9 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, h: 3, u: 2, b: 2, e: 6}. What is prob of picking 3 e and 1 u?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 178*r**2 + 187*r**2 + 190*r**2 - 552*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 5*u**2 - u - 5. Let p(a) = a. Let s be p(-2). Let y be (4 + 0)\/((-2)\/s). Let c(t) = -t**2 + 3*t - 1. Let n be c(y). Give x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 j when four letters picked without replacement from wwwhwwjwwjhh?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f**4\/3 + 1408*f**3\/9 + 8494*f**2\/9 + 2332*f\/3 + 160 = 0 for f.\nAnswer: -40, -6, -3\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 158008558 or 158008555?\nAnswer: 158008558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*x - 124 - 20. Let d be x\/(-2 + -1)*(-4)\/(-16). Which is greater: d or -1\/27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 749 and 954975?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = k + 14*k. What is the lowest common multiple of 1 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23937*l - 3168 = 11960*l + 11911*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.035, 5, -6 in descending order.\nAnswer: 5, 0.035, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of 23*p**4\/12 - 6*p**3 - 24*p. What is the second derivative of r(z) wrt z?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(1\/5)*a)**42)**(2\/107) assuming a is positive.\nAnswer: a**(924\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -5 + 0*v + 5\/2*v**2. Is i(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*h**3 + 9*h**3 - 2*h + 16*h**3 + 20*h**4 - 47*h**3 + 3*h**2 + 10*h**3 to the form l + w*h + q*h**2 + p*h**4 + u*h**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -13918404 divided by 46?\nAnswer: -302574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**6\/1440 + l**5\/240 + l**4\/96 - l**3\/2 - 3*l. Let w(i) be the second derivative of k(i). Factor w(a).\nAnswer: (a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, w: 1, x: 5, m: 1, f: 2}. Give prob of sequence kxw.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 - 22. Let o(k) = 13*k**2 - 15*k - 86. Let l be o(-4). Calculate the highest common divisor of l and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**14)\/t)\/((t*t\/t**9)\/t) assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14.7 + -2. Let m = f + -13. Which is the third biggest value?  (a) -3  (b) -3\/7  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 13, 23, 41, 73, 125, 203, 313, 461?\n\"Answer: v**3 - 2*v**2 + 9*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h + 138*h = 3973356. What are the prime factors of h?\nAnswer: 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15702, -15700, -15700, -15702?\n\"Answer: -g**2 + 5*g - 15706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 183405077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -598751 minus -95.3?\nAnswer: -598655.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 15*p**2 + 17*p - 7. Suppose -6*r - 55 = -139. Give g(r).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 4*j - 3. Let c = 12 - 5. Let p = 5 - c. Give t(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 0 + 0 - 1)*(200 + 138 - 64) in the form z*u + p and give p.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**0\/c**(-8))\/(((c\/(c\/(c**(-6\/11)\/c*c))*c)\/c)\/((c\/(c*c\/c**(-1\/4)))\/c)) assuming c is positive.\nAnswer: c**(277\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1006*t + 251*t + 248*t + 255*t + 251*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*p + 398. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((2\/5)\/(8\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -376 divided by -3.\nAnswer: 376\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -855*c - 71 - 2116 = -275 + 653 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1587 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.052 + 7.\nAnswer: 6.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 - (26 + 25) - (-7 + -1 - -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vccd. What is prob of picking 1 v and 1 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 17  (b) 0.5  (c) 118  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 317 = -339. Suppose -3*u + 4*h + 133 = 0, 0 = 4*u - 5*h - 13 - z. Let x be -2*(0 + 1) + 331 + -28. What is the highest common factor of u and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27527153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 110210?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 6. Put b, 0, -4 in decreasing order.\nAnswer: 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -6*t - 19. Let j be m(-4). Calculate the highest common divisor of j and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.2, -2, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-4 + -7) - (6 + -6 + 8 + 74).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181476*q**3\/7 - 729312*q**2\/7 + 13648*q\/7 - 64\/7 = 0. Calculate q.\nAnswer: 2\/213, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 106, 108, 110, 112, 114?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.1  (b) -3.8  (c) -1\/8  (d) -7\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 1:21 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 0*j + 8*j - 6*j. Let t(w) = -w + 2*w - 8*w. Determine t(d(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 99042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*w**5 + 216*w**4 - 1383*w**3 + 1656*w**2 + 1380*w - 1872 = 0. Calculate w.\nAnswer: -78, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 151 + -144. What is the lowest common multiple of v and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (60\/(-21) + 3)*1. Let m be 3 - ((-96)\/15)\/(-2). Let x = 0.16 - 0.2. Which is the second smallest value?  (a) i  (b) m  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19353 * 1879.6.\nAnswer: 36375898.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*a + 10 = 0, -3*o + 7 = 5*a - 0. Solve o = d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by (0 - -1) + -2 + -1 + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3844 and 248000?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/20*(-6 + 2). Suppose 0 = 2*j + j - z. Suppose 5*s + 941 = 4*q + j*s, 3*q - 4*s - 711 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6283.89 + 6254. Let w = r - 4.81. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 783750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 8893*k**2 + 8962*k**2 - 17957*k**2.\nAnswer: -102*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1324*k - 734 = 144*k + 446 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23055694 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3*l**4\/5 + 469*l**3 + 3894*l**2\/5 - 4688*l\/5 - 1248 = 0.\nAnswer: -780, -2, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 648163931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.10885496188 to six dps.\nAnswer: 0.108855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -730500555 divided by -3\nAnswer: 243500185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -130104 (base 5) in base 3?\nAnswer: -20220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m = 5*u - 23*m - 163, 5*m = -15. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 988 (base 10) to base 3.\nAnswer: 1100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.05 - -0.35. Let m = 2817\/4 - 703. What is the smallest value in m, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 6*u**2 + 6*u - 4. Let i be g(-7). Suppose i*o = o + 28. Let w = -12 - -30. What is the smallest common multiple of w and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/1220479 and 59\/117.\nAnswer: 10984311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 244999 and 2746606?\nAnswer: 925606222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 + -232893?\nAnswer: -232899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 50*u + 5. Give x(-5).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -95\/36 + 35\/9. Which is the third biggest value?  (a) f  (b) -1  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -1\/240*l**6 + 0 + 1\/30*l**5 + 1\/3*l**4 - 16\/3*l**3 + 48*l + 3*l**2. Factor a(q).\nAnswer: -(q - 4)**2*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 6*d**2 - 3*d - 1. Let t(s) = 21*s**2 + 26 - 26*s**2 + 2*s - 25. Calculate -3*a(l) - 4*t(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 2*b**6\/15 - 33*b**5\/5 - 117*b**4 - 738*b**3 - 2268*b**2 + 5333*b. Solve d(k) = 0.\nAnswer: -3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3300\/(-225))\/(-44))\/((-1)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 767780\nAnswer: -1\/153556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 - 1310 = -6*m. Let q = m - 118. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 73558346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 22  (b) 4\/7  (c) -3  (d) 5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 116 + -77. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 8:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1322301 (base 6) in base 10?\nAnswer: -73117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 922 in decreasing order.\nAnswer: 922, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70769.65 + -70773.23156745. Let j = 0.41843235 - h. Let m = j - 4. Round m to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-12)*(-45)\/(-20) + 4. Let o(n) = -5*n**3 + 34*n**2 + 9*n - 9. Let i be o(m). Let p be (-2)\/(2\/(0 + 8)). Put -3, 2, i, p in descending order.\nAnswer: i, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/15)\/(4\/20)*6192\/(-192)*2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - t - 77 = -18, 52 = -2*p + 4*t. Let f = 25 + p. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 + 4*p**3 + 14*p**2 + 7*p**2 - 37*p**2 + 13*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssi. Give prob of picking 1 i and 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -13*b**2 - 271*b + 52. Let p be k(-21). Solve 3 = -p*x - 57 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.9, 136, 79?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -18*m**4\/17 - 208*m**3\/17 - 110*m**2\/17 = 0.\nAnswer: -11, -5\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3665\/6 - -611. Which is the smallest value?  (a) 2  (b) -0.21  (c) 0.1  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/7704 and -199\/847440.\nAnswer: 847440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 2*g + 7 + 0 + 3 in the form d + z*g and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54 + 51. Let c be ((4\/(-5))\/(w\/(-3863865)))\/(-2). Let n = 350182 - c. What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3 = -6. Let f(z) = 3*z + 4. Let v(q) = 10*q + 12. Let n(g) = 7*f(g) - 2*v(g). What is the remainder when 13 is divided by n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -92*w**3\/3 - 28280*w**2\/9 - 96500*w - 774000 = 0.\nAnswer: -45, -860\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-68)\/561)\/(20\/(-1650))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = r + 4*b, 0 = -3*r - 2*b - 10 - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 233 + -230.001. Let u = -0.001 - r. Let t = -2 - -2.3. Which is the nearest to 2?  (a) t  (b) u  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1 + (-2*(sqrt(34)\/sqrt(2) - sqrt(17)) - sqrt(17)).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 10\/3*(4 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 6*w**2 + 1. Let r be d(-6). Suppose -3*l + r = 4*b, 0 = 2*l - 5*l - 5*b + 2. What are the prime factors of -2 - (l + -15 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 576314 is divided by 82326.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 159434 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 67 + (-67 + -22 - -31)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 92 = 101 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 - -10. Let o = n - 40. Let a = o - -13. Solve j = a*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7673 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 8 = 2. Let s(c) = -2*c - 3. Let m = 30 + -12. What is the remainder when m is divided by s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -25  (b) 1  (c) -0.5  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 25 + 5*b**2 - 1 - 5*b - 8 - 17 + b**3 + b**3. Let y(c) = -c**3 - 3*c**2 + 3*c. Determine -3*i(m) - 5*y(m).\nAnswer: -m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 - 79. Is h <= -5\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186050327 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of d*j**4 - 15*d - 355*j**4 - j**3 + 7 wrt j.\nAnswer: 4*d*j**3 - 1420*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.13 and -46127859.\nAnswer: -46127858.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 1257 = 7113. Let a = -887 - f. Suppose -4*i = -5*b - 1018, -2*i + 5*b + a = 3*b. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -65*p**2 + 12674*p + 198. What is k(195)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 1 + 73)*(104*a**3 - 32*a**3 + 218*a**3).\nAnswer: 19140*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -8*b + 5*b - 22, -2*p = 10. Suppose 0 = -5*h + 10. Suppose 208*m - 13 = 207*m, -16 = 2*r - 2*m. Put r, -5, h, b in decreasing order.\nAnswer: r, h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -873*i + 7 + 868*i - 7.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11 - (2 - (3 + -3)). Let q(m) = 2*m + 7*m + m**2 - g - 2*m**2 + 3. Does 7 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(14\/15))\/((-25)\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 96 - 39. Let q(u) = u**2 + 2*u - 11. Let r be q(3). Suppose 2*m + 9 - h = r*d, 0 = 3*m - d - 62. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 8*x**2 - 8*x - 4. Let s be g(-7). Let m be -4 - (-5 - 3) - -2. Suppose -s*p + m*p = 15. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 143 + 55088a?\nAnswer: 550a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 1403692450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 9 - 18. Suppose 243 = 4*g - 0*m - w*m, 3*m = -4*g + 237. Calculate the lowest common multiple of 40 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 83*i - 107*i + 5 - 295*i + 5 as w + b*i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ihihphhp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**2)**(-11)*(w**(1\/9)\/w*w)\/(w\/((w\/(w\/(w*(w\/(w*w**(-1\/3)))\/w))*w)\/w)) assuming w is positive.\nAnswer: w**(-203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7946, 15895, 23844, 31793?\n\"Answer: 7949*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 28*g**2 + 4*g - 437. Let h(p) = -38*p**2 - 6*p + 437. Give 3*h(f) + 4*l(f).\nAnswer: -2*f**2 - 2*f - 437","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8*((-3)\/(-2))\/(-3). Suppose l*r = -0*r + 16. Let f = 15 + -15. Sort r, 5, f in decreasing order.\nAnswer: 5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -5*a**6\/14 + 189*a**5\/4 + 444*a**4\/7 + 178*a**3\/7 - 450*a. Factor k(g).\nAnswer: -3*g*(g - 89)*(5*g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w - 100. Suppose p = -j - 1, -4*j - p - 10 = -0*j. What is the remainder when w is divided by ((-26)\/(-4))\/(j*(-6)\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10251790?\nAnswer: 2, 5, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3044*r**2 + 10558*r**2 - 1 - 98.\nAnswer: 7514*r**2 - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 9:46 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 27\/5 - ((-1176)\/(-140) - 9). Solve -13 + r = -7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 60 = 4. Suppose 0 = m + 3 + 7. Let y = m + 32. What is the lowest common multiple of y and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96215*p + 192463*p - 96241*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 3:46 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 1, -0.42, 88\/7, -2, 4\/171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/28)\/(2\/7). Let l be 1\/((-15)\/(-10))*j. Solve -b = -l*u + 2 + 6, -5*b = u + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) 35  (c) -2  (d) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 178 + -4805\/27. Let z(y) be the second derivative of 0*y**2 + 1\/30*y**5 - 1\/135*y**6 + y + 0 + 0*y**3 - n*y**4. Factor z(r).\nAnswer: -2*r**2*(r - 2)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/7  (b) -0.08  (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20824589 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18, 55, 110, 177, 250?\n\"Answer: -y**3 + 15*y**2 - y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 7*r**6\/15 - 9*r**5\/10 + r**4\/3 - 2*r - 1. Let s(m) be the first derivative of w(m). Factor s(q).\nAnswer: 2*q**2*(q - 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1402298173?\nAnswer: 19, 73805167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.6895307 and 80.653256.\nAnswer: 81.3427867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xqaqaxaarqaaxq. Give prob of picking 2 q and 2 x.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*20*36\/45. Suppose -h = -3*m - 4. Calculate the highest common divisor of m and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 0*q, 2*k + q - 612 = 0. What are the prime factors of k\/11 + 12\/66?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/13  (b) 0.4  (c) 80  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 6. Let o be y(-5). Let l = -9 - o. Let p = 6 + l. Which is bigger: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2768 - 11?\nAnswer: -2779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-219126)\/74*3\/(-9). Let m = h - 987. Suppose -5*f = -2*c + 12, 60*c - 4*f - 5 = 63*c. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -43.9. Let w = -11.9 + v. Sort w, 0.3, -0.1, 2\/7 in ascending order.\nAnswer: -0.1, 2\/7, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233 is divided by 217?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 + -2 - (9 + -22533 + -14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1146, 1143, 1140, 1137, 1134?\n\"Answer: -3*o + 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26\/7*x - 2\/7*x**2 + 460\/7.\nAnswer: -2*(x - 10)*(x + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2472 + 2473. Which is the closest to 7?  (a) -1  (b) 3  (c) -1\/8  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*y**2 + 6*y**2 - 6*y**2)*(0*y**2 + y**2 + 0*y**2) + y**3 + y**4 - y**3.\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 203 + -201. Let 2\/3*b**3 + 0*b**l - 2*b**4 - 8\/3*b**5 + 0*b + 0 = 0. What is b?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3 = 6. Suppose n*d - 4*d + 9 = 0. Calculate the lowest common multiple of (-3)\/(-12) + 30\/8 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67400000 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 821136530 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 11:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/2 - 0) + 30641468. Let x = d + -46541470. Round x to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -28, -39, -50, -61, -72?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 13*w**2 + 12*w + 2. Let t be h(12). Suppose 5*v + 1633 = t*j, 2*v + 0*v + 6 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -779  (b) -3\/4  (c) -1\/3  (d) -4935\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -120*j**2. Let b(s) = -22555*s. Give b(h(w)).\nAnswer: 2706600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 - 66. What is the second smallest value in s, -0.2, -1\/10, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from vvtvvvtttvtvvv?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, 750, -2, 9 in decreasing order.\nAnswer: 750, 9, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4946906 from -0.04.\nAnswer: 4946905.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 17470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 702 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 51230 + -2353?\nAnswer: 44433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -149 - 6a87?\nAnswer: -7125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1268 - 1267. Let r = 18 - 17. Which is the nearest to r?  (a) m  (b) 2\/5  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (75\/(-30))\/((-5)\/8). Let x(n) = -37*n + 4. Let r be x(-8). Suppose r = -a + w*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 28. Let f(a) = -a**3 + 2*a**2 + 3*a + 1. Give f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 3, w: 3, c: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (1 - 0) + (-70 - -38 - (7 - 6)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31*k + 31*k + 8*k**3 + (4*k**2 + 8*k**2 + 6*k**2)*(2*k + 2 - 2).\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 53581.4 centimeters?\nAnswer: 0.535814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-464)\/120 + (-2)\/15. Calculate the remainder when 12 is divided by ((-6)\/4)\/(2\/a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2506941718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1245548 divided by 262?\nAnswer: -4754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30?  (a) -0.04  (b) 54518  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -1 - (12 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26531064 and 49896?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 280\/(-4)*(0 + 3\/(-3)). Let m be 16*(87\/84 + (-20)\/z). Solve -12 = -8*k + m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 4*z - 36, 33*h = 31*h - 3*z - 2. Solve 369 - 364 = -h*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 30768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17432571*5.\nAnswer: 87162855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2356199, 4712399, 7068599?\nAnswer: 9424799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*s**2 + 11*s**2 + 3*s**2 + (0 + s + 0)*(-2*s + 2*s - 2*s) + s - s + s**2)*(3*s - 4*s + 3*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6123.9 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5227254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -47, 0.1, -2\/35?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2. Let f(l) = l**2. Let w be (528\/(-132))\/(-2 - 28\/(-18)). Give w*f(a) - 2*n(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 77*w**2. Let x(j) be the third derivative of -10*j**4\/3 + 5*j**2 - 5*j - 7. Calculate k(x(b)).\nAnswer: 492800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 - 20*z - 53. Let i be f(-17). Let n = 0.37 - -4.03. Let l = n + -4. What is the second biggest value in 3\/8, i, l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51250 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 5*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10853456021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 126813\/1702 - 1691\/23. Let d be 63*(-1)\/(9\/6). Find the common denominator of b and 2\/3 - (-85)\/d.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((228\/(-1387))\/(-6))\/1\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5501378072451.71474858 - 5507129186606.71475. Let b = l + 5751114097. Let r = -58 - b. Round r to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (471\/102 - (-10)\/(-85))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -2*v + 5*m - 5, 2*m - 4 = -4*v. Let w(j) = -j + v + 3*j - 3*j. Suppose -2*b + r = -11, 3*b - 5*r - 16 = 18. Give w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57.1 + -57.1332. Let t = r - 0.3668. Put t, 0.3, -2\/3, 0.1 in increasing order.\nAnswer: -2\/3, t, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10.67 and 0.04?\nAnswer: -0.4268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*i**4 + 102*i**3\/5 + 21*i**2\/5 - 18*i\/5 = 0. What is i?\nAnswer: -3\/7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-1\/4))**(-3))**(-3\/7))**(1\/4) assuming w is positive.\nAnswer: w**(-9\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2488, 20481, 69302, 164365, 321084, 554873?\n\"Answer: 2569*i**3 + 10*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 3*z**2 - 3*z + 2. What is the smallest common multiple of 20 and g(8)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 54 + -59. Put 8, 5, s in decreasing order.\nAnswer: 8, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*n = -69*n + 78. Solve -n*w = -w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 383966*g**3 - g**2 - 5*g - 1175843 wrt g?\nAnswer: 2303796*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - -1100010101?\nAnswer: 1100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8802820049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + 8733671470\nAnswer: 8733671470.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24434*z - 6103*z - 6092*z - 6099*z - 6105*z.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -225 + 151501145?\nAnswer: 151500520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 8*u**3 - u**2 + 1. Calculate the remainder when 38 is divided by i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -41849 >= -41850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -32584, -64551, -96522, -128497, -160476, -192459, -224446?\n\"Answer: -2*o**2 - 31961*o - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 5*f - 4. Let l(y) = y**2 + y - 1. Suppose 0 = -4*m + 5*p - 4, -5*m = 3*p + 8 - 3. Let w(s) = m*d(s) + 3*l(s). What is w(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2354177 is divided by 784697.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2. Let x(d) = -5*d**2 + 63*d - 9. Let k be (0 + -9)*(8 + -9)\/(-1). Let j(h) = h**2 - 16*h + 2. Let p(t) = k*j(t) - 2*x(t). Calculate p(w(q)).\nAnswer: q**4 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 154 and 18.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 531941212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 - 31*b**2 + 28*b + 30*b**2 - 9 - b**2 + 2*b**2 - 2*b**2 + (-b + b + 2*b)*(-b - 5 + 5).\nAnswer: -4*b**2 + 28*b - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2138*i + 147530. Give k(-69).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/8)\/(-1) + -1. Suppose -f + 4*f = 3*t + 27, -5*t = 4*f - 18. Let d = 11 - f. Put d, 0.5, m in increasing order.\nAnswer: m, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28.78950405 + -39.7895017. Let q = t + 11. What is q rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 218791125*p**2 - 132300*p + 20 = 0.\nAnswer: 2\/6615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1302)\/(-105))\/(1\/(-20)). Let k = -151 - r. Let q(o) = o**3 + 3*o**2 - 2*o + 3. Calculate the remainder when k is divided by q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -132 + 135. Let r(f) = -3 - 4*f - 3*f**2 + 5*f**2 + 5. Let k be r(g). Solve 3*n - 23 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -9*z**3 + 2*z**2 - 74*z + 2. Let b(s) = 9*s**3 - 2*s**2 + 75*s - 3. Give -2*b(c) - 3*n(c).\nAnswer: 9*c**3 - 2*c**2 + 72*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1493, -8, 0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 4, -1\/4, -1\/705 in descending order.\nAnswer: 4, 0, -1\/705, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -4  (c) -0.04  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*z = 193*z - 1260 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 135123.4 + -135123. Let i be (-32)\/6 + (-2)\/(-6). Sort 27, 0.5, i, d in decreasing order.\nAnswer: 27, 0.5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wiayaeadwdaw. What is prob of sequence dy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -321 - -321. Let p = -14 + 13. Suppose 6*x - 3*x = 15. Which is the closest to q?  (a) p  (b) -0.5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 131 - 107. Solve 22*l = w*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43 - 35585\/(-825)) + 164\/(-330)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by 42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 8\/10) + 1707\/15. What is the tens digit of -5 + 3 + (t - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/3114024 and 7\/1884804?\nAnswer: 71622552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*x + 48*x - 24*x + 0*x**3 - 5*x**2 + x**3 in the form k*x + p + w*x**3 + j*x**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i + 23. Let j(p) = 2*p**3 - p**2 - 2*p - 5. Let d be j(0). What is the remainder when 131 is divided by z(d)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-60) + 1\/30*86. Let c be 44\/33*d\/1. Solve -6*l + 4 = -2*l - 3*y, -c*l - 5*y = 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3154887447 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -84  (b) -5  (c) -4  (d) -6\/79  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 18*d**2 - 18*d + 19. Let j be ((-204)\/36)\/((-1)\/3). Let t be v(j). Factor t*x**2 + x**3 - 3*x**2 + 0*x**2.\nAnswer: x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (198\/(-77))\/((-4)\/12 + 414\/756)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3*3\/1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = -10*y - 20. Let h(d) = -d**2 - d - 5. Let r be h(y). Let l = -15 - r. Solve -f - l + 4 = 4*j, 0 = -5*j - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/31827250 and -29\/100.\nAnswer: 63654500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.5 - 4. Put w, 0.5, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.6 + 0. Let n = 8.4 - g. Let j = 7 - n. What is the closest to j in 0.2, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 194*l**5 - 190*l**4 - 2526*l**3 + 4798*l**2 - 2228*l - 48 = 0. Calculate l.\nAnswer: -4, -2\/97, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 18. Calculate the lowest common multiple of k and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - c + 30. Give x(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 19*k + 18*k - 5, 2*n + 11 = -5*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3*g = 20. Let x = g - -12. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8614353, -17228705, -25843069, -34457451, -43071857?\n\"Answer: -y**3 - 8614345*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017555 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (50*(-3)\/(-450))\/(3\/((-54)\/(-20))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q + q - q to the form r + p*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 39323168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of m**2 + 1. Let z be p(-1). Is 21 a factor of 42 - 0*1\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-3 - -2) - 1 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h**2. Let i(a) = 0 + 0 - 5*a + 2*a. Determine t(i(d)).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 155474226?\nAnswer: 155474231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (5612\/3680)\/(-61)*16\/(-38)\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 41336 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 + (14 - 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 8359\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.09 and -0.46.\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44\/(-3)*-30*(-11)\/(-44) and 200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19191203 divided by 21?\nAnswer: -19191203\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0517412 grams to tonnes.\nAnswer: 0.0000000517412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(2\/5)\/w)**(40\/7))**(-4)\/(w**(-6)\/w**(-1\/5))**(-9\/11) assuming w is positive.\nAnswer: w**(-5347\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - z**3 - 1 + (-4*z + 5*z + z)*(z**2 - z**2 - 3*z**2) - 4*z + 4*z**3 + 4*z - 6*z**3 - 2*z - 2877*z**2 + 2876*z**2 - z**3.\nAnswer: -10*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(54\/(-25)))\/(69 - (-12322)\/(-183))?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - -55. Calculate the greatest common divisor of s and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 4:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43143 and 4611921?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and 30541.\nAnswer: 30541.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w - 13*w - 17 = -5*g, -11 = 5*w - 2*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 PM and 11:29 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -5*f**3 - 86*f**2 - 15*f + 44. Give o(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u - 1 + 1)*(117*u - 59*u - 61*u - 9).\nAnswer: 6*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*v - 14. Suppose -5*l + 8*l - 3841 = 5*w, -v*l = -4*w - 5116. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 20 = -j, 3*j = -5*u + 3 + 145. Solve 0 = 14*g + u + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(150*u**3 - 150*u**3 + u**5) + (-u**4 + 2*u**4 + u**4)*(3 - 3 + 7*u).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/5  (b) -5  (c) 1032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 219, 957, 2963, 6873, 13323?\nAnswer: 22949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -213 - -113. Let u = z - -103. Suppose -4*i + 4 = 0, 0 = m + m + 4*i - 8. Solve m*h + 4*q = -4, -3*q = -u*h - q + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92 - 641\/7. Is -1\/79 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 460750.\nAnswer: 2, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 5*b - 11. What is the tens digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + 2*n - 4*n)*(1461530*n + 20909*n**3 - 1461530*n + 8*n**2 - 8*n**2).\nAnswer: 41818*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 2822?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 556.986 less than -68?\nAnswer: -624.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**4 - 41*k**4 + 3*k**2 + 1 + 9*k**4 + 13*k**4 + 4 to the form w*k**3 + t*k**4 + z*k + a*k**2 + b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(192)*-2 + -5)**2.\nAnswer: 160*sqrt(3) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -552*a**2 + 43*a + 92. What is d(-2)?\nAnswer: -2202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 2  (b) 0.1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -5. Suppose 3*f - 3 = 0, 0 = -3*v + 5*v - o*f - 9. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p + 250. What are the prime factors of g(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2*sqrt(132)*-2 - (2*sqrt(132)*6 - sqrt(132)))\/(1*4*sqrt(1200)*2).\nAnswer: -3*sqrt(11)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -39, -88, -151, -222, -295, -364?\n\"Answer: g**3 - 13*g**2 - 17*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, q: 2, j: 1, i: 2, k: 4, t: 3}. What is prob of sequence ttx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*b = 525*b + 5712 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 7*d**2 - 6*d + 9. What is f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of r**4\/24 + 13*r**3 + 233*r**2\/12 - 11065. Factor k(o).\nAnswer: o*(o + 1)*(o + 233)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -91\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.5742 - -29?\nAnswer: 30.5742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7, 1, -22, 11 in ascending order.\nAnswer: -22, -3, 1, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*w - 0*w + 595, -2*w - 2 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 + 5. Let x be ((-34)\/14 - 1)\/(109\/763). Let m = d - x. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 937284 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, -0.3, -7\/2, 0.2, -0.14 in increasing order.\nAnswer: -7\/2, -0.3, -0.14, 0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2162*t**2 + 1870*t**2 + 1 - 2956*t**2 - 1 to l*t + v + z*t**2 and give z.\nAnswer: -3248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 148357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 5 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - l)*(1 + 2 - 5) + 6*l - 5*l + 0*l + 2*l + 1 - 1 - l + 6*l - 2*l + (4 + 1 - 3)*(-4*l + l + 2*l) + 4 + 3*l - 4.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b**2 + 6*b**2 + b**2. Let m(x) = 53*x**2 + 6. Let l(s) = -54*s**2 - 4. Let j(p) = 3*l(p) + 2*m(p). Give j(i(r)).\nAnswer: -224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 6013.52.\nAnswer: 18040.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggjcjczggc. Give prob of picking 2 g and 1 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -10208 bigger than -10363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-244)\/4)\/((-2)\/2). Let o = -6 + -30. Let a = n + o. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -i**3\/3 - 2*i**2 - 6*i - 84. Calculate j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 40, 91, 164, 259, 376?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((4*(sqrt(1331) - 3*sqrt(1331)) - sqrt(1331)) + (sqrt(1331) - (-2*(1 + sqrt(1331)) + sqrt(1331))))*-1)**2.\nAnswer: -1232*sqrt(11) + 260892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 50206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 0*p + 15. Calculate the lowest common multiple of 2 and (-230)\/(-6) - 5\/p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scstsssctccs. What is prob of sequence ct?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 419356 and 31716?\nAnswer: 3774204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3729\/904)\/(-5*14\/175*15).\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 797573 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 11 - 2 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3984*t**2 + 3987*t**2 - 7967*t**2. Let d(c) = -2*c + 99. Calculate j(d(h)).\nAnswer: 16*h**2 - 1584*h + 39204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjg when four letters picked without replacement from {j: 8, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/3  (b) 5  (c) 6\/8063  (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1)*g)**(-5)*(g**(-2)*g)**(-15) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-1*(1 - 10\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 136.451 + 15.409. Let k = 152 - r. What is k rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 10:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 135152 (base 6) in base 7?\nAnswer: 52232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -10170, -434, -3 in increasing order.\nAnswer: -10170, -434, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**2\/5 + 13708*x + 117443290 = 0.\nAnswer: -17135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 1:54 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (26\/5)\/((-176)\/40 + 4). Let i = 5 - 9. What is the nearest to -0.1 in i, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, f: 2, k: 3, i: 3, c: 1}. Give prob of picking 1 g, 1 i, and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -881824.1 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 17*z**3 + 1005*z**2 - 9*z + 9. Let y(n) = -4*n**3 - 252*n**2 + 2*n - 2. Determine 2*m(o) + 9*y(o).\nAnswer: -2*o**3 - 258*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-133 + 526 + 105 + 546)*(-4 - 3*t - 9 + 19) + 3*t + 0*t - 2*t to the form z + m*t and give m.\nAnswer: -3131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 5*r + 65. Let a(l) = 26*l + 324. Let c(u) = -3*a(u) + 16*v(u). Let k(m) = 2*m**2. What is k(c(y))?\nAnswer: 8*y**2 + 544*y + 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeaeeeaaea. What is prob of sequence eeae?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 5*b + 3. Let p be x(-5). Let f be p\/(6\/(-10))*-1. Suppose 5*c + f = 25. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3*m + 15900 = s, -3*s + 2*m + 11925 = 0. What are the prime factors of s?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 167 - 166. Which is the second smallest value?  (a) f  (b) -0.07  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -41  (b) -8\/9  (c) -49\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**5 + 321104*u**4 - 12889435596*u**3 + 77322806704*u**2 + 90212563406*u = 0. What is u?\nAnswer: -1, 0, 7, 80273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 2)\/(17 - 16).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39257\/12 + -3274. Let y = 10 - 11. What is the common denominator of o and (-97)\/24 - y\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13\/24, -16, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by 22939\nAnswer: -17\/22939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 399908 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2*u - 3)*(3 + 2 - 3) - 8*u - 7*u + 10*u)*(2*u - u - 3*u)*(-7*u**3 - 17 + 17).\nAnswer: -126*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 159905408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2635625, 5271308, 7906991, 10542674, 13178357, 15814040?\n\"Answer: 2635683*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*a - 73*a = -5*a. Sort a, -15, -5.\nAnswer: -15, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -242*t**5 + 4*t**3 - 9*t**2 - 2587862*t wrt t.\nAnswer: -4840*t**3 + 24*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1044 divided by -56921\nAnswer: -1044\/56921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118383450.\nAnswer: 2, 3, 5, 53, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130120 (base 4) to base 3.\nAnswer: 2111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*o - 15*o - 25*o + 76*o - 17*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1341 + 1952. Let m = b + -5567\/9. What is the common denominator of 74\/9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 1\/4, -0.23934, -2, 6, -4?\nAnswer: -0.23934","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 3. Let c be (-2)\/(i + 0) - -4. Find the third derivative of 2*n**c - 4 + 4 - 2*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110 is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - 2\/(4 + -2). Let q = 1 - b. Suppose 0 = -m + 2*n + 8, -7 - 1 = -m - 2*n. Calculate the smallest common multiple of m and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5605 divided by 10\nAnswer: -1121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2915801 - 3606.\nAnswer: 2912195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -14 + 33 + -65 + 18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/14538 and 115\/68772.\nAnswer: 166634556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -410001 divided by -6.\nAnswer: 136667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 9*r + 19*r = -28*r + 5*r + 78, 70 = -8*q - 2*r for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7353 and 42411287?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y - 5*y**2 + 5*y**3 - 4*y**3 + 0*y**2 - 2. Let j be m(6). Let q = j - 32. What is the highest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 0.0333?\nAnswer: 0.1665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/7, 0.2, 1877?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2*b + 46 = 0, -3*b - 81 = 5*s - 4*b. Let n be (-2)\/(-9) - s\/9. Suppose -5*o - w - 2*w + 131 = 0, -n*o + 54 = 2*w. Solve 4*k - o = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -98 - -111. Let m = -2\/101 - -109\/404. What is the smallest value in 0, p, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l + l - 2*l)*(2 - 13 + 0)*(3*l**2 + 2*l**2 - 3*l**2) to the form p + k*l**2 + f*l + u*l**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 2*a. Let n(b) = -b**2 + b. Calculate -n(d) + z(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - (-10 - (-41 + -16))) + -21.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**2 + 12*c**2 + 13*c**2 - 33*c**2 + 90*c**3.\nAnswer: 90*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58487206 + 342.\nAnswer: -58486864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2895 or -2906?\nAnswer: -2906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a**3 + 25*a**2 + 595112*a + 4760837. What is o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 167398, 167329, 167142, 166777, 166174?\nAnswer: 165273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36939950 and 17840.\nAnswer: 295519600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -70 + 279\/4. Let c = -0.1 + 3.1. Let s = c + -6. What is the closest to 0 in 0.2, a, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -20.4. Let q = h + -1.62. Let l = -0.12 - q. Which is the closest to l?  (a) -0.1  (b) -5  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/7)*w*w*(w\/((w*w**(-2\/3))\/w))\/w)**(-2\/17) assuming w is positive.\nAnswer: w**(-100\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -768*l + 455 = -733*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5073 and 2451?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = 6*x - 104. List the prime factors of (x - 663)*(-4 - -3)*1.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10.7 and 7014.\nAnswer: 75049.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.05 and -0.008861842266141?\nAnswer: 0.058861842266141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = t - x + 29, 0 = -2*x + 4. Let z(u) = u**3 - 5*u**2 - 4*u - 17. Let i be z(7). Let n = -73 + i. Is n at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -701905432847\/4998 - -140437261. Let g = n - -1\/294. Are g and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -2. Suppose 62*h - f = 60*h - 2, 3*f = h + 11. Let s be h*-2 - (-4)\/i. Solve -s*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*a, 48 = -28*q - 3*a - 238 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1401 is divided by 439.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19804745 is divided by 244?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 10 = 4*b, 4 = 5*t - 3*t + 2*b. Suppose -22 - 119 = -t*k. Is 10 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 20233 + 4?\nAnswer: 20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t + 50487675 - 50487675.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9669928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, m: 4, f: 2, y: 1}. Give prob of sequence lm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 38.24, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 14*h - 5*x = -51, x - 6 = 0. Let w = 314 + -6592\/21. Which is the third biggest value?  (a) w  (b) 1\/2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d - 2*d**2 + 2*d - 375 + 0*d.\nAnswer: -2*d**2 - 2*d - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2946452 is divided by 185.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113126*m**4 - 53*m**2 - 215 wrt m.\nAnswer: 2715024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 7*m - 11. What is the tens digit of x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 7:00 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 1:20 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 1:37 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3261, 6596, 9931?\nAnswer: 13266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -75659, -75667, -75675, -75683, -75691?\n\"Answer: -8*n - 75651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 781.4699cm to millimeters.\nAnswer: 7814.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 times -775.2?\nAnswer: 11628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zyzzzzzz. What is prob of picking 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3209911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1124*2872\/(-352) - (-4)\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 + -28. Suppose 6 = -2*n, 0 = -5*k + n + 2*n + l. Let -a**2 - 2*a**k - a**3 - a + 3*a**4 + 2*a**3 = 0. Calculate a.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3)\/j**(2\/47))\/(j*j\/(j**7*j*j))**(2\/29) assuming j is positive.\nAnswer: j**(-926\/4089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14741720 divided by 10.\nAnswer: 1474172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 689338 and 503747?\nAnswer: 13097422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 t when three letters picked without replacement from {t: 1, z: 1, i: 1, b: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -432367*u - 2161653. Give o(-5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -b3aa (base 13) in base 6?\nAnswer: -310514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 2\/25, 2\/5, -2, -1, -12?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24882 - 24878. What is the nearest to -1 in u, 7, 18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1 + sqrt(2)) - sqrt(352)\/sqrt(11))*-3.\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14, -34, -60, -92, -130, -174?\n\"Answer: -3*b**2 - 11*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 10*p - 52 = 0, -l + 4 - 12 = -3*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22962.105 rounded to the nearest ten?\nAnswer: 22960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 6:54 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -800851, -800850, -800849, -800848, -800847?\nAnswer: -800846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + 49. What is the remainder when 525 is divided by b?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011101001111101101 (base 2) to base 12.\nAnswer: -165039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 58, 73, 88, 103?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, 265, 4\/9 in increasing order.\nAnswer: 0, 4\/9, 3, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4 = -2*m. Suppose 1 = 3*h - m. Suppose 0 = -2*t + 7 - h. What is the closest to -1\/4 in 2\/17, t, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - f + f)*(-f + f - 5*f**2) + (-2*f - f**2 + 2*f)*(-3 + 2*f + 3).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2492 or -2479?\nAnswer: -2479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1233.79 + -1250. Let x = -0.21 - u. Let r = 14 - x. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*l = 17*l + 3*r + 1, -2*l + 12 = 4*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 97\/220 + -12\/11. Let j = -1\/4 - y. Which is the nearest to 0?  (a) j  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*s**3 + 18*s**3 + 7*s**3.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30432 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, j: 3, e: 3, z: 3, p: 1, b: 2}. What is prob of sequence bhph?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106, -107, -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 = 6*u + 130. Is 5\/(-2 - -5 - u) - -159 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40*j - 34*j + 21*j)*(8*j - 64 - 3*j**3 + j**3 - 6*j).\nAnswer: 106*j**4 - 106*j**2 + 3392*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 - 2*n - 3. Let w be d(-3). What is the common denominator of ((-4)\/w)\/((-16)\/(-996)) and -47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 12363, 99159, 334803, 793719, 1550331, 2679063, 4254339, 6350583?\n\"Answer: 12404*j**3 - 32*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 1\/106958077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5715530 is divided by 248500.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**4 - d**3 - 4*d**2 - 460238*d - 5780460 wrt d?\nAnswer: 4*d**3 - 3*d**2 - 8*d - 460238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 184 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80030864?\nAnswer: 2, 107, 46747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i + 60. Let b be y(14). Suppose 3*m - 940 = 4*z, -5*m + m - 2*z = -1268. Suppose m = b*u - 0*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-9)\/(-2))\/(6\/(-8)). Let g be r\/8 + (-184)\/(-32). Suppose g*p - 243 - 17 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 0*n - 2*c - 8, -5*c = n + 9. Suppose -2 = -3*i + n. Let j be (-187)\/(-66) - i\/(-6). Solve -8 = -j*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from {v: 4, d: 1, f: 6, o: 3, g: 1, k: 1}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4218 divided by 2\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 4*l + 40, 4*v - l + 11 = -0*l. Is (558\/27)\/(v\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1091 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -1210\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 38512 divided by -4?\nAnswer: -9628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5925 and 69125?\nAnswer: 207375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/120)\/((-1)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1134, -1195, -1304, -1467, -1690?\nAnswer: -1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 4*d + 7. Let g(a) = 4*a + 8. Suppose 5*l + b - 35 = 0, -4*l + 5*b = -30 + 2. Determine l*y(r) - 6*g(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by 627969.\nAnswer: -2\/33051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8611 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (((-1470)\/120)\/((-21)\/18))\/(3\/(-4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 11 + 1 + 7 + 2*t. What are the prime factors of m(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**3 - 54*f**2 - 412*f - 624 = 0. What is f?\nAnswer: -13, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h - 6. What is v(11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4*b + 2)*(193*b**4 - 249*b**4 - 272*b**4).\nAnswer: 1312*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.122414 years?\nAnswer: 0.07122414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -116, -81, -56, -47, -60, -101, -176, -291?\n\"Answer: -z**3 + z**2 + 39*z - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 306 divide 79101654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -400 divided by 80?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 5. Let s(q) = q - 22. Let p(n) = 4*c(n) + s(n). Let b(f) = f - 1. What is 5*b(h) - 6*p(h)?\nAnswer: -h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 732, 1484, 2236?\nAnswer: 2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7, 0.1, 5\/6 in descending order.\nAnswer: 7, 5\/6, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -6*c + 1. Let o(a) = a**3 - 4*a**2 - 6*a + 1. Let p be o(5). Let s(l) = -5*l + 1. Calculate p*y(i) + 5*s(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90120899.\nAnswer: 11, 8192809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -4 - 12 - (-403 - -445).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2541*a**2*q**3 + 3*a**2*q - 3459*q**3 wrt a?\nAnswer: 5082*a*q**3 + 6*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -31, 3, 5 in descending order.\nAnswer: 5, 3, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/11, -39, -3\/2, 3\/20, 84, -0.2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 101 + -96. Calculate the highest common divisor of f and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 335262007 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -78*n + 4. Let c = -38992 - -38988. Let x(y) = -79*y + 3. Give c*x(f) + 3*u(f).\nAnswer: 82*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 - -71. Let b be (45\/p)\/((0 - -8) + -5). Let k = -1.3 + -0.7. Sort k, -0.1, 1\/2, b in descending order.\nAnswer: b, 1\/2, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 268886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 AM and 9:01 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 3*x**2 + 2*x - 1. Suppose 4 = 5*k - 11. Let q(b) = 3*b**2 + 2*b - 1. Give k*c(j) - 4*q(j).\nAnswer: -3*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.4  (b) 2  (c) -3.6  (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1988a (base 14) in base 7?\nAnswer: -356633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -314 + 1810852*x - 1810852*x + 314 - 8*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 6:57 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2785913 to 3 dps.\nAnswer: -0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 718*h + 866 - 358 + 1455*h - 43 - 118 with respect to h.\nAnswer: 2173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12757395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 597, 1170, 1721, 2256, 2781, 3302, 3825?\n\"Answer: r**3 - 17*r**2 + 617*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122535 by -40845.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 380432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2446524?\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 + 130210?\nAnswer: 130140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 23*i + 11. Let s(z) = -4*z - 2. Let g(b) = -34*s(b) - 6*t(b). Suppose -9 = -2*q - 5. Calculate g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -318*m**2 + 1 - 4*m - 5 + 8 - 4 as i + j*m**2 + f*m and give j.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(3) - ((sqrt(216)\/sqrt(8))\/sqrt(9) - sqrt(3)) - (-5 + (sqrt(3) + 1 - sqrt(3)))))**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 3. Let w be 2\/(-2) + a + 3. Suppose w + 3 = 3*l. Calculate the least common multiple of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*r + 208*r - 60 = -2*t, -4*r - r = -4*t + 60 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 621*j - 18 - 3 - 626*j + 167*j**2. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 20 + 72 = 0. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + i - 5*i)*((-7 + 2 + 2)*(0 + 3 - 5) + 17 - 5 - 7).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -1167?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/1664587 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136 = -21*a - 116 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1372*l**5 - 539*l**4 - 44303*l**3 - 123056*l**2 - 81152*l + 28672 = 0.\nAnswer: -16\/7, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4458)\/(-28) - 2\/4. Let w = c - 159. Let q = 0.03 + -1.03. What is the nearest to w in -4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*o**3 + 306*o**2 - 146*o**2 - 2*o**4 - 156*o**2 in the form h*o + b*o**4 + l*o**2 + y + d*o**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 653652 or -13?\nAnswer: 653652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 1\/32  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - p**2 + 1. Let j(t) = -5*t**3 - 2*t**2 - 2. Calculate -2*f(r) - j(r).\nAnswer: 7*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-10)*(35392\/(-784) - -18) - (-3)\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*j + 3*s + 2, 17*j - 21*j - 24 = -13*j + 3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w - 43*w - 32*w.\nAnswer: -85*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -6. Suppose -3*k + k = -5*a - 28, a + k + 7 = 0. Calculate the remainder when (-28)\/a + 1\/3 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.92243 and -1045689.\nAnswer: -1045688.07757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -7\/5, 3\/2, -5, 4 in increasing order.\nAnswer: -5, -7\/5, -2\/3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 0*j - 5*j + 3*j + 5*j. Let y(q) = 7*q + 1. Let i(z) = 5*t(z) - 2*y(z). Calculate i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, x: 13}. What is prob of sequence pxpx?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1090, -2312, -3664, -5146, -6758, -8500?\n\"Answer: -65*r**2 - 1027*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -739, 4, 0.45, -0.4?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 - 101. Let v = 53 + g. Calculate the smallest common multiple of v and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + s**2 - s + 8. Let b be j(0). Let f(d) = -d + 11. Let l be f(b). Factor 68*r**4 - 65*r**4 + l - 6*r**2 + 0.\nAnswer: 3*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) 3  (c) 0.02  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 + b - b + (3*b - 5*b + b)*(-3*b - 2*b + 3*b) + (2*b - 3*b - 2*b)*(-3*b - b + 5*b)*(0 - 2 + 1) + (2*b - 2*b + b)*(-2*b + b + 2*b) + 1 + b**2 - 1.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -71f7 + bfe?\nAnswer: -65f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*j + 176*j - 128*j + 216*j - 131*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84368747?\nAnswer: 84368747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/10 - (-18)\/(-45). Let i(q) = 0*q**3 + 5*q**2 + 5*q - 7*q**n - q**2 + q**2 + 7. Let m(y) = -20*y**3 + 14*y**2 + 14*y + 20. Give 14*i(t) - 5*m(t).\nAnswer: 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 12*h**2 + 8*h + 15. Let r = -69 - -79. What is the lowest common multiple of r and d(-11)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8622 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: Simplify ((sqrt(1300) - (sqrt(1300) + -1)*-1) + sqrt(1300) - (-3 + sqrt(1300) + -3 - sqrt(1300)))**2 + 3.\nAnswer: 300*sqrt(13) + 11728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/50 and 111\/4802210.\nAnswer: 24011050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 8*a**2 + a + 8. Let q be m(-8). Suppose n + 3 - 2 = q. What is the second biggest value in -5, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.235577 take away -0.4?\nAnswer: 0.164423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 1263*h + 17588. Give a(-14).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22\/6 + (-8)\/(-24). Let b = -4 + w. Suppose -5*i - d + 302 = b, -7*i + 4*d + 292 = -2*i. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5021986 and 23018?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Solve 875*s + 10904 = -29981 + 19010 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/3 + 2683*s**2\/3 + 409692*s + 1221036.\nAnswer: (s + 3)*(s + 582)*(s + 2098)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 4 - 23 = -3*s, 0 = -i + 2*s - 6. Suppose 0 = -3*j + r + 13, -2*j = i*r + r - 20. Suppose -a + 63 = 3*x, -j*x + a - 21 = -126. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 66*q**2 - 935*q - 125. Calculate d(78).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -496281 by 3.\nAnswer: -165427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from llllllslsls.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t + 368 = 12*t - 2*z, -5*t - z = -926. Calculate the remainder when 488 is divided by t.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-3) + (-35)\/122*(-21875)\/(-18375)\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {x: 7, m: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 + 19*v**2 + 3*v - 12. Does 39 divide u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -4*z**2 - 9*z - 3. Suppose -186 = -50*d + 110 + 104. Let t(g) = -11*g**2 - 26*g - 8. Give d*m(p) - 3*t(p).\nAnswer: p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -162\/7 - 2\/7*a**2 + 36\/7*a.\nAnswer: -2*(a - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7751*y**3 + 7747*y**3 - 15500*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 14 = -o. Calculate the remainder when 89 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(38\/3 - 10). Solve -3*o - 24*z + 6 = -22*z, 5*z + h = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xxtxssxst?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80444\/3978 + (-2)\/(-9)*-1 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -4*u - 8. Let n(y) be the second derivative of 3*y**3\/2 + 15*y**2\/2 + 1445*y - 1. Calculate -5*h(a) - 3*n(a).\nAnswer: -7*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (7 - ((-6 - -7) + 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38660?\nAnswer: 2, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.0902*-0.02\nAnswer: 0.001804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 16105734.7.\nAnswer: -8052867.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 9 = i, 2*j - 12 = -2*j - i. Let y(r) = r**2 + 14*r - 2. Let m be y(-15). Let q = 15 - m. Is q less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3138 is divided by 157?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w - 2*w + 21 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/5, 4, -2\/27, 33\/2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 168185 to the nearest one thousand.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z - 2*z**2 - 2*z + (0 + 3 + 4 + (5 + 3 - 6)*(3 + 2 - 4))*(2*z - 2 + 2)*(-2*z + 4 - 4).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 2. Suppose 4*p - 6*c = -4*c + 2, -1 = p - c. Let l(b) = -b + 4. Let s be l(p). Calculate the greatest common factor of s and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = w - 8 - 25, -318299*w + 29*t = -318301*w + 66 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**3 + 7*a**2 + 9*a - 48. What are the prime factors of y(6)?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t + 188. Let l be r(36). Let z(p) = 3*p**3 - 5*p**2 - 2*p - 1. Let i(u) = 4*u**3 - 8*u**2 - 3*u - 2. What is l*z(s) - 5*i(s)?\nAnswer: 4*s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 (base 11) in base 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -153675393 divided by -3\nAnswer: 51225131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47762, 0, 4 in increasing order.\nAnswer: 0, 4, 47762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1533.9998707 + -1534. What is d rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 123284 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 605 - 0?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 48, 135, 272, 459, 696, 983?\n\"Answer: 25*p**2 + 12*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/31625 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448)*-2*1*-2*4 - (4*(-2 + sqrt(1088)) + 1 + 0 + sqrt(1088)))**2.\nAnswer: 2128*sqrt(17) + 392817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + o = -9877, -4671 = -3*l - 2*o + 1263. Suppose -l = -4*h - 240. List the prime factors of h.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1584) + 2)*-6 - sqrt(1584))**2 + (-2*(0 + sqrt(1584)) + sqrt(1584))**2)*1*-1.\nAnswer: -79344 - 2016*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -247*q + 9211401 - 414249. Calculate the greatest common divisor of q and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 6 = 0, 47 = x + 3*p - 8. Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9 + -6 + (159\/51)\/(-1). Let h = -605 + 605.1. What is the nearest to -2\/3 in h, n, -4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2\/5 - 192588*t\/5 - 4624416\/5.\nAnswer: 4*(t - 48171)*(t + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*f - 5. Suppose -2*w + 3*a = -19, 2*w + f = -2*a - 3. Suppose -114 = -w*r + 52. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -3 + (-8 + 4 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22394 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -97708 + -5.4798.\nAnswer: -97713.4798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2 = -4*f. Suppose -h = -0*g + g - f, -2*g = -4. Is -2\/113 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3828)\/(-377) - (-4)\/(-26). Let g be 1\/(-5) + (-3906)\/(-30). Calculate the greatest common factor of o and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 5:03 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4581 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-1 - -2 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 - 70\/3. Let s = -0.04 + -0.06. What is the closest to -1 in d, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + m = -3, -2*i + 7*i = 3*m + 19. Let g = 1 - -1. Suppose 21 + g = k. What is the remainder when k is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 11:00 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 6*b**2 + 17. What is the hundreds digit of o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ieeeeeeeeieeeieeei. Give prob of sequence ii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11692)\/(-1975) - 24\/4) + (-2)\/((-1650)\/(-159)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b**3 + 14*b**2 - 48*b - 355. Is 108 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5644410 is divided by 1011.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 5*r = 9*r - 93, 3*a = -3*r + 96. Suppose 6*b - 145 = a*b. Sort 2, 40, b, 4 in descending order.\nAnswer: 40, 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2639994905?\nAnswer: 5, 61, 8655721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 12 = 11*d. Calculate the common denominator of 43\/22 and 412\/18*(d - 135\/20).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 6 - 9*a**2 + 3 + 5*a**2 - 3 + (2*a - 3 + 3)*(a + 0 + 0).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -4\/3, -21, 0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(4212) + 4 + sqrt(4212) + -2 + -2)**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/18*5\/(-10). Let o(r) be the first derivative of 0*r + 2*r**3 + 1 + t*r**4 + 0*r**2. Find the third derivative of o(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4881424.731 rounded to the nearest ten thousand?\nAnswer: -4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 4. Let f = -24 - -42. Let x be (-1 + 0)*f\/6. What are the prime factors of n(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 5*h**3 + 40*h**2 - 8. Let y be m(-8). Which is greater: y or -37\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(((o*o*o\/((o\/(o*o\/(o*o**(5\/4)))*o)\/o))\/o)\/o*o)*o**(-1))\/(o*o**4*o**0))\/((o**(-1))**(-2\/17)*o*o**(1\/9)*o**4) assuming o is positive.\nAnswer: o**(-6719\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08647 to 3 decimal places.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 g when four letters picked without replacement from {g: 8, i: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, 1046, -3, -5 in ascending order.\nAnswer: -5, -3, 78, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.056376 to three dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2195406143 to the nearest integer?\nAnswer: 46855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017527062 rounded to 6 dps?\nAnswer: 0.017527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 2*u = 67, 22*u = j + 31*u - 14 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*-2*4)\/(-1*(sqrt(144) + 1*sqrt(144)))*-1 + 1)**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -317 * -192.\nAnswer: 60864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + n**2 - 20*n + 2. Determine w(-6).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3995, 4250, 4965, 6380, 8735, 12270, 17225, 23840?\nAnswer: 32355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 76030 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6628.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 1, a: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 602*z**2 + 580*z - 13865. Determine q(-603).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 5*y**2 - 6*y - 6. Let t(k) = -k**2 + k + 1. Let j(z) = -d(z) - 6*t(z). Let o be (-1)\/(1*3\/(-36)). Let f(x) = o - 12 + 4*x. Give f(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-214720)\/(-70) + 2 + (-17)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 455\/12 + -33819\/892. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**9*k*k)\/(((k**(-2\/17)*k)\/k)\/k))\/(k\/k**(-2\/13)*(k**(2\/3)*k)\/k*k) assuming k is positive.\nAnswer: k**(6827\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2818293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1564 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10782257805049 + -0.5.\nAnswer: 10782257805048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 8:16 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/10716 and 5\/8.\nAnswer: 21432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 150 + -158. What is the common denominator of h and -25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*(-1 + sqrt(448)))**2.\nAnswer: -3456*sqrt(7) + 96984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 49*n + 46*n)*(22*n**2 + 3*n**2 + 10*n**2).\nAnswer: 3290*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-1)*(-26)\/(-208)*-176\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1102827 or -1102826?\nAnswer: -1102827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 267.000159 + -267. Round y to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/3498 and 35\/6413?\nAnswer: 38478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 + 3*h - 3*h + (3*h - 2*h - 2*h)*(-3343 + 164*h + 3343) + 2*h**2 - 5*h**2 + 2*h**2 + (-4*h + 3*h + 0*h)*(-h + 2*h + 0*h).\nAnswer: -165*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 1, -2, 5 in descending order.\nAnswer: 5, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 0 - 1\/2*x**4 + 0*x**3 + 8*x**2 + 0*x. Let j(v) = -23 + 2*v + 2 + 21. What is s(j(f))?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34805 - 34795. Sort -57, d, 2, -1, -3 in ascending order.\nAnswer: -57, -3, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n**3 + 51*n**2 - 147*n + 1720. Give k(24).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -41.7077 * 51\nAnswer: -2127.0927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 665*r - 663*r + 201 to the form p*r + d and give d.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 4)*(-2 + 2 - 2*p)*(-65 - 81 - 188).\nAnswer: -668*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-230373)\/(-2475) + (-4)\/50)\/(8 - 8 - 1).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2. Let g(m) = 8 - 13 + 5 + 2*m**2. Give p(g(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, z: 2, k: 1, i: 1, a: 3, o: 4}. Give prob of sequence zi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pjjpmvjvjvjj. What is prob of sequence vjv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 2*s - 18 = 0. Solve -2*g - s = x, -3*x = 3*g - g - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*(0 + -3*2). What is the remainder when 17 is divided by 31\/3 - 2\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13\/4, -2\/45, -1.6, -4, -1\/4 in decreasing order.\nAnswer: -2\/45, -1\/4, -1.6, -13\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 14*o**3 + 14*o**2 + 190*o - 37. Let k(a) = 5*a**3 + 5*a**2 + 63*a - 13. What is -6*h(s) + 17*k(s)?\nAnswer: s**3 + s**2 - 69*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -6*t + 37. What is f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4)\/((-530)\/11660)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-328)\/(-1558))\/(4\/(-2)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2238 - -3204. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 4*p**2 + 3*p + 6. Suppose 5 = -9*v + 41. What is the remainder when 105 is divided by o(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + 5. Suppose -2*g = 3*i - 91 + c, -3*i = 4*g - 68. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 513445853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z\/(z\/z**(1\/7))*z*z*(z*z\/z**17)\/z assuming z is positive.\nAnswer: z**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -4*y + 36. Let m(u) = -5*u + 22. Let z be m(y). Solve 17 - 11 = -z*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 16*y = 34*y + 96 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -4*c. Let d(y) = y. Let t(r) = -2*b(r) - 2*d(r). Let u(q) = 0*q + 3*q - 2*q - 4*q. Determine u(t(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 1894400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 140468004 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.395852kg to micrograms.\nAnswer: 7395852000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63257 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {n: 6, o: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (914 - 926 - (2 - 0)) + -3 + 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1676119133 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -506*x**3 + 641 - 376*x**3 - 159*x**3 + 632 wrt x.\nAnswer: -3123*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 1054702 - 1054702. Let i(r) = 8*r + 5. Calculate i(m(h)).\nAnswer: 8*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 4*o + 2*r - r, -5*o = -5*r - 25. Suppose -2*q = -q - 20. Let l = q - o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 2:45 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 377260053*o**4 - 111*o**2 - 325636*o - 1.\nAnswer: 9054241272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -5*r**2 - 185*r - 350 = 0?\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h*k**2*o - 4*h*k**2 - 619*h*k - h*o + h + 199*k**2*o + 14*k**2 wrt k.\nAnswer: -2*h*o - 8*h + 398*o + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*a - 1120 = 60*a - 62*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 9:08 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1254397?\nAnswer: 23, 54539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 832214000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -72\/5*b**2 - 432\/5*b + 12\/5*b**3 + 0 + 2\/5*b**4 = 0. Calculate b.\nAnswer: -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -16 + 186\/12 - 10\/4. Suppose -4*n + 2 = -2*n. Sort 5, s, n in descending order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.051238 - 0.0517. What is o rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 62, -1, -106, 1, -2, 87, -6 in increasing order.\nAnswer: -106, -6, -2, -1, 1, 62, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-2)*10\/(-15))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2078  (c) 2210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 9:06 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2548 and 5724446.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -16*z**2 + 7*z - 10. Let f be v(-5). Let m = 0.1819 - 0.3819. Which is the second biggest value?  (a) f  (b) 0.2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -270, -269, -268, -267?\n\"Answer: w - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 612 and 576.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -1\/540*z**6 + 0*z + 0*z**4 + 0*z**2 + 1 + 1\/3*z**3 - 1\/180*z**5. Let v(w) be the third derivative of r(w). Factor v(m).\nAnswer: -2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.855 - -188.855. Let c = -72 + 359\/5. What is the second smallest value in c, -3, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11 and 0.0079506971.\nAnswer: -10.9920493029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**4\/4 - 2*x. Let b(c) be the first derivative of 0*c - 9\/2*c**2 - 31. Determine i(b(r)).\nAnswer: 243*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -550*j**4 - 680*j**2 wrt j.\nAnswer: -13200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -73.777 + 73.7770061342. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*s, -13*s = 4*x - 11*s + 24. Let a be -3 + 14 + x + -2. Suppose 0*v - 1\/12*v**a + 0 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 14 = 5*g. Let f = 156 - 153. Let p be 0 + (f - 65\/25). What is the fourth smallest value in g, -3, p, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 = -507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 306 and 2562?\nAnswer: 130662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) -20  (c) -1  (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 862368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 692727917 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -5*a**3 + 3*a**2 + 3*a + 4. Suppose 4*o = 2*o + 8. Suppose -o*v = 7 + 9. Let h(y) = 6*y**3 - 4*y**2 - 4*y - 5. What is v*h(l) - 5*k(l)?\nAnswer: l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -4.2, 2\/3, 0.51, 5, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = k - 2*t, -3*t - 15 = -5*k - 4*t. Suppose -235 = -3*c - k*r, -3*r - 319 - 60 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**7\/294 - 4*j**6\/35 - 8*j**5\/7 - 3*j**4\/2 + 737*j**3\/42 + 363*j**2\/7 - 1614*j. Suppose f(d) = 0. Calculate d.\nAnswer: -11, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + k + 0)*(-4 + 0*k + k + 3)*(-44*k - 24 + 24)*(3 - 5 + 1) in the form a*k**3 + j + f*k**2 + s*k and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.6 - -0.1. Let i = 1449\/2 + -748. Let d = i - -24. Which is the closest to -0.1?  (a) v  (b) -0.1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x + 3*x - 4*x + (-2 - 5 + 1)*(x + x + 0*x) + (-36*x + 6*x - 22*x)*(35 - 7 - 12) in the form l*x + g and give l.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29577601 is divided by 1484.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9296378 = 6*k + 9297044 for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1103 - -1101. Put -13, -6, r in descending order.\nAnswer: r, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 6 - (-2 + 3). Solve 3*m - 4 = t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -332 + 9*c + 327 + 3*c. Let f(w) = 5*w**2. Give f(u(j)).\nAnswer: 720*j**2 - 600*j + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -2.9. Let z = 26586107\/207 - 128435. Let u = -12\/23 + z. Which is the closest to i?  (a) -5\/8  (b) 1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.23 and 620.2.\nAnswer: 619.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1898*q = -1947*q + 245 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 77145207 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.028*34.\nAnswer: 0.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -1 + 6 - 1 + 5 - 10. Let b(a) = -2*a + 4. Determine b(p) + 4*w(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 71*m**2 - 98*m + 620. List the prime factors of v(74).\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ifxoqou. Give prob of picking 2 x and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 5*k = -0*k + 569790, -5*g = -k - 949672. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2\/9  (b) 1\/7  (c) -0.04  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 225611 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 w(k) be the second derivative of -k**6\/30 + 4*k**2 - 2*k. Find the first derivative of w(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 17 = -2*j. Let f(p) be the third derivative of p**5\/60 + p**4\/8 + 2*p**3\/3 - 3*p**2. Let n(i) be the first derivative of f(i). Determine n(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m**3 + 2*m**2 - 1. Let w be u(1). Suppose -w = -7*s + 3*s. Let l = s - -7. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -250542\/7 + 35885. Let n be 4\/((-194)\/(-186) - 1). Let x = n - s. What is the smallest value in x, -2\/3, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 3. Let w = -2841 - -2899. Factor d + 5*j**3 - w*j**2 + 58 - 10 + 23 + 156*j.\nAnswer: (j - 6)**2*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 32390839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by -5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 5 = 18*n. Let -1\/7*c**2 + n + 0*c + 2\/7*c**3 - 1\/7*c**4 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/(-55)*10*(0 + (-34)\/(-8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = 4*f - 16*w - 9, -3*f + w = 7. Sort -5, -2, 4, f.\nAnswer: -5, f, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i - 1. Let u be n(2). Suppose -r = u*r - 348. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 9*j**4 - 9)*(-2 + 2 + 2) + 5*j**4 + 3*j**4 + 3*j**4 + 2 + 2*j**4 - 2 + 4*j**4 - 3*j**4 + 0*j**4 + (3*j**3 + 0*j**3 - 2*j**3)*(3 + j - 3).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-1) - (-4)\/((-84)\/(-51))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q + w + 2, -15297*q - 2*w - 12 = -15295*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 705, 608, 453, 246, -7?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 41857, 4 in increasing order.\nAnswer: -1, 4, 41857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 5*m + 2330. Let d be 0 + (-1)\/((-2)\/m). Let o = 352 + d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -5.2. Let b = 0.6 - v. Let c = b - 0.7991. Round c to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112 (base 3) in base 15?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/40)\/(12\/(-32))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(396) - -1*sqrt(396)) + -3 + sqrt(396) + sqrt(396) - sqrt(396) - -2*3*sqrt(396)))**2.\nAnswer: 216*sqrt(11) + 32080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3941236694 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.18 in -1, -8, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 680 = 3*u - 5*l, -918 = -253*u + 249*u + l. What is the remainder when 8509 is divided by u?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 49. Let j = z + 32.6. What is the second smallest value in 4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1022*x + 1033*x + 4*m - 51 = 0, 0 = -4*x + m + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - 1616 = -12*a + 4*f, 4*a - 1300 = 5*f. Suppose 28*m - 240 = a. Solve -3*c + m = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = o - 2. Let f(c) = -6*c + o - c**2 + 0 + 0*c. What is the tens digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 63.62 - 71.62. Which is the closest to 0?  (a) 0.1  (b) -23  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**7\/42 + a**3\/6 + a**2\/2 - 3*a. Let r(t) be the first derivative of u(t). What is the first derivative of r(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(((z**(2\/35)*z)\/z)\/z))\/z**(2\/7))\/(z**(-9)\/z**(3\/8)))**(-1\/8) assuming z is positive.\nAnswer: z**(-3089\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b. Let u(g) = 3585*g. What is 8365*r(z) + 5*u(z)?\nAnswer: 1195*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 590 in 0.3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7*f + f**2 + 4 - 15 + 10 - 5*f. Determine u(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(1\/3)*k*k**33)\/(k**(-3\/4)\/k**(-7\/2)))**(-7) assuming k is positive.\nAnswer: k**(-2737\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*a - 5*y = -130*a + 59230, 5*y = a - 14830. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/9, 0.03, 3\/293?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66*k*z**2 + 870*k*z wrt z?\nAnswer: 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 28\/8)*-2. Let x(y) = -11*y - 7. Is x(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 - 4)*(-1)\/(-4). Let u = -0.86 + -0.14. What is the closest to -0.01 in q, u, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 103 + 25*i - 545*i**2 + 544*i**2 + i. Let y be p(28). Calculate the greatest common factor of y and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -255236.7 and -1.28.\nAnswer: 326702.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-2))**(-27) assuming v is positive.\nAnswer: v**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 11. Suppose -20 = -5*j, -i + g*j = j + 40. Let b = 47 + i. Solve -6*y = -y + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, -18, -98, -254, -510, -890, -1418, -2118?\nAnswer: -3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w - 2*w**2 - 6*w**3 - w + 14*w**3 - 3*w**3 + 14*w**4 - 2*w**3 in the form n*w**3 + b*w**4 + y*w**2 + l + z*w and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140666929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 74*q**2. Let v(u) = 2*u**3 + u**2. Give -b(f) + 74*v(f).\nAnswer: 148*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3458 is divided by 1144.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 22 + 14 + 3*c + 0*c + 27 - 3*c**2 - c**3 + 15 - 74. Let v(m) = -2*m**2 + 2*m + 4. Let o be 2\/(-1) + 12\/3. What is o*u(f) - 3*v(f)?\nAnswer: -2*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91668460 and 7046.\nAnswer: 7046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -154071.\nAnswer: 46221.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 15 = 0, g + 6 = r + 4*g. Solve 5*u - 2*q + 15 = q, 3*u + 3*q - r = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -1771*g + 3. Let c(w) = -9*w. Determine t(c(q)).\nAnswer: 15939*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2001 (base 3) to base 8\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1405 by -96.\nAnswer: 1405\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9966 is divided by 2458.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-3))\/(8\/(-288)). Suppose -c - 36 = -f. Let w be (-3 + 4)\/(8\/96). What is the highest common divisor of f and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 2, 10, 211, -0.02.\nAnswer: -3, -0.02, 2, 3, 10, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -10 - -12) + (-1 + -2 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 41867053177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b + 8, -u - 50246 = 3*b - 50233 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of 2*q**5\/5 - 2*q**3 + 2*q**2 - 17. Factor t(f).\nAnswer: 2*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152630.52 rounded to the nearest one thousand?\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6130*b + 6130*b + 264*b**2.\nAnswer: 264*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8 + 0)*2\/8. Suppose -2 = j*l, 5*y + 3*l - 230 = -2*l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.9128 and -310?\nAnswer: -282.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1365)\/(-1287) - 2\/33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3333600 and 225?\nAnswer: 3333600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((c\/(c\/(c\/(c**(-24)*c*c))*c))\/c)\/c)\/c)\/(c\/(c\/c**23)))\/(c**(1\/21)\/(c\/c**(-7\/4))) assuming c is positive.\nAnswer: c**(-109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.08 - -2.92. What is the fourth smallest value in o, -1\/5, 5, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(525\/(-10)))\/(3\/(-10)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 30*v + 28*v + 6*v**2 - 9*v**2 + 4 - 3. Calculate j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-294)\/168)\/(4\/32*6\/(-2))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(13\/4)*x\/(x**(-4)\/x*x))\/(x**(1\/6)*x*x*x**(-11)\/x) assuming x is positive.\nAnswer: x**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -156733997*z + 99445223.\nAnswer: -156733997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*n = -126*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.09321 - 0.29321. Let o = 0.15 - 3.15. Let b = o - -5. Put v, b, -5, 1\/2 in increasing order.\nAnswer: -5, v, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 805*r + 293 + 210*r - 293 + 36*r to n + j*r and give j.\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + (0 - 3 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/51, -2\/15, 63\/5?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 759 is divided by 145?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*r + 72*r - 141*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, l: 8}. What is prob of picking 2 l?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = x - 4*y - 12, 155 = 5*x + 5*y. Solve 0 = -w + 2*q + 8, 7*w = 2*w - 4*q - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b072 (base 14) to base 5.\nAnswer: -1432114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3\/13 - 3396*g**2\/13 - 1922136*g\/13 - 362642992\/13 = 0.\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (26\/39)\/(1\/3)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*a - 16 = -37*a. Let f = 37 + -72. Let o be ((-154)\/f)\/(a\/(-5)). Solve 5*y = -z - o, 4*z = 5*y + 8 + 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (92\/(-690))\/(((-18)\/10)\/(-3))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1368 divided by 171.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 369.9 - 369.7. Let m(i) = -i. Let w be m(4). What is the nearest to h in -1, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-1)\/(-13) - (7 - 796 - 13)\/286.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -719, 2, -13, 1 in decreasing order.\nAnswer: 2, 1, -13, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of x**5\/6 + x**4\/2 + x**3\/3 - 3*x**2 + x + 34. Let w(k) be the second derivative of y(k). Factor w(h).\nAnswer: 2*(h + 1)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466384 is divided by 280?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -199, -349, -517, -709, -931, -1189, -1489?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 4*w - 4*o = 4, 4*w - 5*o - 8 = 0. Suppose 36*s = 28*s - 4240. Is w + s\/(3 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 16*u - 19*u - 160 = -0*s + 17*u, -5 = 3*s + 5*u + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 40\/3?  (a) -5\/2  (b) 0  (c) 5  (d) -13  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + 9. Calculate the common denominator of 0 + ((-39)\/o - -2) and 23\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201 (base 3) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 + -25. What is the remainder when 11 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 939839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 12\/5, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*w + 4*w - 50, -2*w + 2*l + 26 = 0. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**2*j**2 + 2929*b**2*j + 7*b**2 - 187903*b*j**2 - 1 wrt j?\nAnswer: 2*b**2 - 375806*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/1984 and 83\/5952.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 332099307 to the nearest integer?\nAnswer: 18224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/2*5\/(-5). Let t(m) be the first derivative of -2\/9*m**j + 2\/3*m**2 - 2 + 0*m. Determine r so that t(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 623671757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p + 3. Let t be b(3). Let x(c) = -7*c**2 + 5*c - 6. Let j(s) = 2*s**2 + 1 - s - 2*s**2 + s**2 + 0*s**2. Determine t*j(y) + x(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - -20. What is the greatest common factor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1037*p = -178*p + 20768 - 74026 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of s**4\/12 + s**3\/3 - s**2\/6 - s - 17. Factor o(l).\nAnswer: (l - 1)*(l + 1)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + 1685\/20 + 1\/(-4). Suppose -17*k + 9*k + z = 0. Suppose x = -4*c + 4, -c - 7*x = -k*x + 12. Sort -5, c, -3, 1 in decreasing order.\nAnswer: 1, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -326 divided by -44.\nAnswer: 163\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5635, 6624, 7613?\nAnswer: 8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 5*t - 50, 0*x - 4*x + 4*t + 24 = 0. Solve 3*c - x*c = 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 526150 is divided by 1185.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 1.500735, -5\/2 in descending order.\nAnswer: 5, 1.500735, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.03 - -0.03. Suppose -q + 4*q = -12. Let d be (-91)\/(-126) - (-2)\/q. Which is the nearest to g?  (a) -0.1  (b) 0.4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -3*l - 19. Let t = 19 - l. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - 5) + -11 + 1 - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -3\/181 in descending order.\nAnswer: 5, 2, -3\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*(1 - -8)\/3. Suppose -7*l = v - 3*l - s, 0 = v + 2*l - 3. Suppose -v*d = -7*d + 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0.1. Let i = -99975\/399916 - 1\/99979. Sort 2, 2\/3, i, h in descending order.\nAnswer: 2, 2\/3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4808 + 2*i**3 + 4808 + 23*i.\nAnswer: 2*i**3 + 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 329*g**2 + g + 2. Suppose 3*c - 2*n - 3 = 0, -21 = 4*c + 5*n - 2. Let s be a(c). Calculate the greatest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9.0000174 - 9. What is h rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2303034 + 21?\nAnswer: -2303013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 10*o - 38. Let m be u(4). Suppose 0 = -3*g - t - 42 + 125, 37 = g - m*t. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/25*(-40)\/(-44)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, 17, 6, -2 in ascending order.\nAnswer: -2, -1, 2, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nixxntnnibntnkbnbi. Give prob of picking 3 n and 1 t.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51034.\nAnswer: 2, 17, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 1. Let l(b) = 3*b - 27. Let f(y) = -4*j(y) - l(y). Let m be f(7). Sort m, 4, -1, -2 in increasing order.\nAnswer: -2, -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**2 + 67*i - 516. Let n be l(-40). Solve -n = 5*w - p - 5, 5*w + 4*p = 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 351 * 12\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 5131478?\nAnswer: -20525912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-5 - (-2 - (6 - 9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -392 + 654. Let k = l + -265. Let j be 1 + -1 + -1 + 1. Which is the second smallest value?  (a) -8\/13  (b) k  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 18146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.27, -50.22.\nAnswer: -50.22, -0.27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 224*u + 449. Let r be w(-2). Which is the fifth biggest value?  (a) r  (b) 0.5  (c) -2.2  (d) 2  (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39788*g**3*s + 51970276*g**3 - 91*g*s - 1 wrt s.\nAnswer: -39788*g**3 - 91*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -7*d**6\/24 - 3*d**4\/8 + 34*d**2. What is the second derivative of h(f) wrt f?\nAnswer: -210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -62 + 53. Let s = -46 - -32. Let c be (-21)\/s*(-30)\/f. Put c, -5, 4 in decreasing order.\nAnswer: c, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16b6b1b + -3?\nAnswer: -16b6b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 240 = -5*a, -5*j - 143 = -3*a - j. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/((-4)\/2) + -1. Let z be (-5 - -7) + s + 0. Is 4 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34\/(-119))\/(2\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5*m**3 - 13*m**2 + 4*m. Let r(k) = 3*k**3 - 7*k**2 + 2*k. Give 4*g(h) - 7*r(h).\nAnswer: -h**3 - 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, u: 13, y: 3}. Give prob of picking 1 u and 2 y.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**1\/((v\/(v*v**(-1\/8)))\/v)*(v\/v**1)\/v*v**(3\/4) assuming v is positive.\nAnswer: v**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (3 + 1 + -3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -545033 (base 6) in base 13?\nAnswer: -17733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 9:49 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - g - 2. Let b(o) = -2*o**2 + 1. Let d(t) = b(t) + x(t). Let z(n) = -n**2 - 1. Let j be 1528\/72 + 4\/(-18). Let f = j + -20. Give f*d(p) + z(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24633228.\nAnswer: 2, 3, 2052769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22 + 12 - -24) + -31.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 168\/9 - 4\/6. Let b = -11 + u. Let z = b + 48. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41354 (base 8) to base 16.\nAnswer: -42ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29\/18 in -0.2, 5, 0.11, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(2\/2*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**5 - 8*v**4 + 20*v**2 - 2*v - 12 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-4))\/((-8)\/16). Let y be (t\/2)\/((-6)\/8). Let g be 2\/(-4) + (-26)\/12. Which is bigger: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(8\/(-96)*4*1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 288 + -287.5. Which is the closest to 4\/15?  (a) g  (b) -2  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1327261322 to the power of 1\/2, to the nearest integer?\nAnswer: 36432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2)\/((-2)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3546604 (base 8) to base 7\nAnswer: 11150220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.4 bigger than 609298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -250*i**2 - 2120?\nAnswer: -500*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4585640?\nAnswer: 2, 5, 114641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8844 by 132.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -5*g**5\/4 + 5*g**4\/2 + 2245*g**3\/4 - 12595*g**2\/2 + 18475*g - 16250 = 0.\nAnswer: -25, 2, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*b**2 - 3*b + 453*b**2 - 11 - 8 - 1.\nAnswer: 495*b**2 - 3*b - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.3 * 16.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*j - 528 = 45*j. Let c = -72 + j. Solve 4*k = -4*k - c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -79\/24 + 21\/8. What is the second smallest value in -1\/6, 4, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - -23. Let i = 1 - 0.5. What is the second smallest value in x, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.2 + 0.2. Let i = -0.6 - b. Let u = -3958 - -15831\/4. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 23 - 17. Let t(z) be the second derivative of z**3\/6 + 11*z**2\/2 - 2*z. Let c be t(-9). Solve c*i + 0 = -l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.056997 to two decimal places.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -12816120 and 12235.\nAnswer: -12803885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u - 2. Let c(l) = -7*l**3 - l**2 + l + 1. Let z be c(-1). Let h(k) = 4*k + 8. Let b(y) = z*h(y) + 26*o(y). Differentiate b(s) with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Differentiate 101*h*j*w**2 - h*j - j*w**2 + 2*j*w - 2*w**2 with respect to h.\nAnswer: 101*j*w**2 - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -545716 to the nearest 1000.\nAnswer: -546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 128.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 11210316 divided by 4\nAnswer: 2802579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30640 and 134.\nAnswer: 2052880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(20)\/(1*sqrt(10)*1) + 1*(sqrt(288) + 2)**2).\nAnswer: 49*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4\/4 - 14703*i**3\/4 + 147105*i**2\/4 - 367825*i\/4.\nAnswer: -i*(i - 5)**2*(i + 14713)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*m**2 - 33*m**2 - 109*m**2.\nAnswer: -130*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-10) + 4590\/25. Suppose -4*o - 4*x - u = 0, -2*x = -3*o - 126 - 32. Let z(r) = -r**2 + 4*r + 27. Let v be z(11). Is v greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*y**2 - 30*y**2 + 141*y**2 - 75*y**2.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -158.1 - -178. Let m = h - 20. Let x be (-2480)\/225 + 4\/18. Is x bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/15)\/(((-308)\/(-140))\/11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 36161939 and 0.4?\nAnswer: 36161938.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 522 + 12?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171, -272, -389, -528, -695, -896, -1137, -1424?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(66)*1 + ((sqrt(66)*-1 - sqrt(66)) + sqrt(66))*1)\/(4*(sqrt(726) - -1*sqrt(726))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15176574 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.58659 rounded to two dps?\nAnswer: 27.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5854, -5, -15 in decreasing order.\nAnswer: -5, -15, -5854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*g**4 + 7*g**3 + 202*g**2 - 48182?\nAnswer: 16*g**3 + 21*g**2 + 404*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*-5*(-6)\/(-210)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h. Let y(f) = -2962*f - 121*f - 1 - 400*f + 0. What is q(y(t))?\nAnswer: -6966*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -514475 = 940*d - 965*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1186*k + 1182*k + 40. Calculate the least common multiple of k and 58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 7*r**3\/3 + 4814*r**2\/3 + 826976*r\/3 - 236672\/3 = 0.\nAnswer: -344, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -71 + (34 - 33 - (19 - 44)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, n: 1, c: 2}. Give prob of picking 1 j, 1 n, and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r. Let m be -2*(-2 - -4)\/(-2). Let g(a) = -a**2 + 11*a**2 + 7*a**m. Calculate g(h(x)).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w - 31 + 7*w + 13 + 4*w - 30.\nAnswer: 9*w - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 46024 + 314849. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 267665009*n**2*z**2 - 8*n*z**2 + 2*n*z - 5*z**2 - 5034 wrt n?\nAnswer: 535330018*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/93*3)\/(17\/((-442)\/(-26))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -9, -w = 5*g - 3*w - 26. Let k = 12 - g. Let v = -10 + 41. Calculate the remainder when v is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 1, i: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 2\/71, -1 in descending order.\nAnswer: 2\/15, 2\/71, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11926 is divided by 61.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 - 32080*b + 708180.\nAnswer: -5*(b - 22)*(b + 6438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k**3 - 2*k**2 - 2*k. Let x(o) = -o**3 + 2*o**2 + 4*o - 6. Let r be x(-4). Let d = r - 73. Let n(h) = h**2 - 2*h + 2*h. What is d*w(q) + 2*n(q)?\nAnswer: -3*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1.17 times 17969\nAnswer: 21023.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 222600037 to the nearest integer?\nAnswer: 14920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1246*r + 1241*r - 4*t + 95 = 0, -3*r + t + 57 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 PM and 10:37 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*v + 138 = 0, x - 5*v + 0*v = 29. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 837478069 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -16*i + 2948. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2388661*l**3 + 3*l**2 + 61422 wrt l?\nAnswer: -14331966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k - 5. Let u = 4 + -3. Let g(s) = -4*s**3 - s**2. Let x be g(u). Let j(h) = h - 6. Let q(n) = 5*n - 41. Let y be q(9). Give x*v(m) + y*j(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 4:54 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 40 = -5*t, -4*w - t - 11 = -w. What is the closest to 2 in 0.4, w, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xclcxxxxccccxxxxxcc. What is prob of sequence cc?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h - 4. Suppose -3*u = 15 + 6. What is b(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d - 32832 + 65581 - 32749.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110 - -10010?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-3))\/(8\/(-36)). Suppose -w + 2*z = w + 134, -5*w - v*z = 327. Is (w\/(-3))\/(6\/39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -497*c**2*d*i**3 + 31486*c**2*d*i**2 - 7*c*d*i + 6*c*d - 51617*d*i**3 wrt c.\nAnswer: -994*d*i**3 + 62972*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8*z**4 + 7*z**3 - 576*z**2 + z - 411733?\nAnswer: 32*z**3 + 21*z**2 - 1152*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32477.\nAnswer: 47, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 206*w + 442. Let s(j) = -73*j - 147. Let t(z) = -17*s(z) - 6*u(z). What is t(28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.291 + -2.451. Let z be 4 - (2 + 0) - -1. What is the second biggest value in j, z, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, i: 4}. What is prob of sequence ijji?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -81, -191, -355, -579, -869, -1231, -1671?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -141700 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*c**2 + 11*c**2 + 34*c**2 - c + (4*c**2 - 2*c**2 + c**2)*(2 + 1 - 5) to h*c**2 + d + f*c and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3076 is divided by 180.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 7 = -9. Suppose b = -4*i + 12, -3*b - k*i + 3*i + 15 = 0. Let p(y) = -y + 14. What is the remainder when p(b) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*v + 72, 4*c - 5*c - 2*v + 36 = 0. Suppose -4 = 5*o - 139. Let p = c - o. Calculate the least common multiple of 15 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f + 7. Suppose -4*i + 4*q = -24, -8 = -3*q + q. Suppose -z - i = z. Is l(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140970 is divided by 331?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of f**3*g*j**3 + 194*f**3*j*n**2 - 2*f*g*j**3*n + f*j**3 + 5*g*j**3*n**2 + 2*g*n**2 + 25*n wrt n.\nAnswer: 388*f**3*j + 10*g*j**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 737*q - 18266. What is p(24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 155 and 703607?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 104?  (a) -3  (b) -2\/11  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*s**2 - 2 + 42*s**2 + 37*s**2 to the form f + n*s + i*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oor when three letters picked without replacement from rrroyrerydeyrodo?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*w**6*y - w**5*y - 2*w**3 + 28*w**2*y - 7*w*y wrt w.\nAnswer: 240*w**3*y - 60*w**2*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 5:59 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)*s\/((s\/(s*s**(-19)))\/s)*s)\/(s**27\/(s\/((((s**(8\/3)\/s)\/s)\/s)\/s))) assuming s is positive.\nAnswer: s**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -125*d - 2152. Let p be q(-21). Calculate the greatest common factor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21.1 - 22. Let z = t - -1. Which is the second biggest value?  (a) 4  (b) 1\/2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 2*z + 167 - 183, 0 = -3*c - 3*z - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4902222 divided by -6.\nAnswer: 817037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhoo when four letters picked without replacement from {a: 3, y: 1, h: 2, o: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 32 = 2. Suppose -9 = -v + 3*g, -4*v + p = v - g. Solve v*f - 1 = 2*b + 5, 0 = -4*b - f + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -11*p. Let u(o) = -3984*o**2. What is s(u(d))?\nAnswer: 43824*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 2*h = -3*h - 15, -2*d + h + 9 = 0. Suppose x = 3 + d. What is the third derivative of -4*p**5 - 2*p**5 - 5*p**2 + 18*p**2 - 4*p**x wrt p?\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -142 + -1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 103837115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -1385955077828?\nAnswer: 1385955077828.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -79. Let g = f + -12. What is the remainder when g is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (2 + 2 + (5 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -17. Let v = -14 - u. Let j = v - -18. 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: Let t = -31 + 31.16. What is the third biggest value in -1\/4, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1263422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i + 9 = -2*r, 0 = 2*r - 4*i + 10. Let o = r + 13. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/5 - 196*k\/5 - 4802\/5.\nAnswer: -2*(k + 49)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 77457215 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.78 rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -108 + 188. Suppose -5*r + k = 3*s + 15, -5*s = -4*r + 15. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -46 + 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -0.5, 3, 3\/5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 0 + 0 - r + 7. Let i = 2 - -2. Suppose a + 2*n = 6 + 4, 0 = i*a + 4*n - 32. Calculate t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 2*k + 2*k)*(27 - 23 - 4 - 1673*k).\nAnswer: -3346*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10645 - 10663. Let d(j) be the second derivative of j**5\/20 + 11*j**4\/6 - 8*j**3\/3 - 43*j**2\/2 + j. Is d(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 2\/11, -1, 27, -0.1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.097 - 0.403. Let f be (-22)\/(-8) + (-3)\/(-12). Put f, v, 0.09 in decreasing order.\nAnswer: f, 0.09, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + 2*u**2)*(-265*u - 16 + 183*u + 233*u) to j*u + h + t*u**2 + g*u**3 and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 1570 + 12*l - 773 - 789. Let n(j) = 4*j + 3. Let i = 8 - 5. Determine i*w(z) - 8*n(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 8:22 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 0*r**4 + 0*r**6 + 19\/105*r**7 + 22\/3*r**3 + 49*r**2 + 0 + 0*r + 0*r**5. Find the first derivative of y(p) wrt p.\nAnswer: 152*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 156\/104*59\/(-9) + 10. Which is the biggest value?  (a) 1709  (b) 1  (c) -4  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 427226.8 nanometers in centimeters?\nAnswer: 0.04272268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -41 + 41 - 11*s**2 + (-s**2 + 0*s + 0*s)*(-6 + 4 + 1).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2965  (b) -3\/2  (c) 2267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1880, -14906, -50168, -118754, -231752, -400250, -635336, -948098?\n\"Answer: -1848*t**3 - 30*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4 + 13*a**4 + 7 + 3 - 19 wrt a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 5 - 8 - -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -1, -1\/163, -0.1, 1297?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {j: 5, b: 1, n: 1, k: 1}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103080\/360 - (-1)\/(-3) is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -6125497, 0 in increasing order.\nAnswer: -6125497, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4610092*k**2 - 4610092*k**2 + 25*k**3.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7745, -15489, -23233, -30977, -38721, -46465?\n\"Answer: -7744*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 d when four letters picked without replacement from {d: 4, o: 2, u: 2, v: 3, f: 7}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7772 and 1976902?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -2 - 1 - (69 - 76)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-76)\/(-171) - 27838\/(-18)?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*sqrt(567) - (0 + (0 + sqrt(567) + sqrt(567) - sqrt(567))))**2 - ((3*sqrt(7) + sqrt(7) + sqrt(7))*6 + -1*sqrt(567))**2.\nAnswer: 5985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -296*r - 1044985 + r**2 + 1044985 to x + v*r**2 + c*r and give c.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/117469737 and -83\/168?\nAnswer: 939757896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1010827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 103 = 4*j - 95, 32 = -3*j - 4*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -2*x + 70. Let r = 14342 - 14090. Let n = r + x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4*l - 13 = -6*b, -3*l - 7 = -5*b. Let f be (b - 0)\/(7\/(-77)). Differentiate -3 + 8 + 3*k + f wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -77 + 64. Let g(f) = -f**2 - 12*f + 18. Let t be g(o). Suppose 5*y - t*v - 490 = 0, -4*y + 4*v = 2*v - 398. List the prime factors of y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 72*g + 32. Let f(b) = -17*b - 5. Let r(c) = -16*c - 5. Let q(a) = 5*f(a) - 6*r(a). Give -32*q(w) + 5*x(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 113 - 17. What is the greatest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*i - 15425, -5*i + 4*u = -3*i - 15470. Let w be i\/50 - 6*2\/8. Suppose 2*x - 102 = -x. What is the highest common factor of w and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 98, -5, 11\/2?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -b + 6 + 3, 15 = -5*v + 5*b. Suppose -v*k + 4*k = -2*p + 712, 4*k - 1420 = -3*p. What is the greatest common divisor of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 417, 415, 413, 411, 409?\n\"Answer: -2*s + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3343 is divided by 1651.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*n**6 - 83*n**2 + 25*n**6 - 54*n**6 wrt n.\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -13 + 38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**3\/6 + 758*s**2. Let k(f) = -2*f + 6. What is -k(h) + 4*l(h)?\nAnswer: 2*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 50514998099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 - 183*i**2 + 2109*i + 2295.\nAnswer: 3*(i - 45)*(i - 17)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 44, 130, 40\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*u - 1 - 10*u to the form g*u + l and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3899, 0, 28\/305?\nAnswer: 28\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (15*12\/27)\/((-1)\/12). Let y = a + 81. Solve n + 4 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.59178, -0.2, -2, -3\/8, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-17866)\/6*(139 + -169). Round k to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1767\/62*(-832)\/(-312)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(2\/15)\/t*t)\/(t*t**(-2\/11)*t*t*t))**(-30))**(-1\/34) assuming t is positive.\nAnswer: t**(-608\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -3*t + 6, -706*d + t = -702*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6*((-264)\/36)\/(-11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from {o: 6, e: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -34*n + 3953. Give s(116).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -159, -326, -517, -744, -1019?\n\"Answer: -2*h**3 - 153*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13555327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 255311502 (base 6) in base 10?\nAnswer: 5017214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -4. Suppose 542*z - 132 = -339*z - 1013. What is the nearest to -0.2 in z, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 47, 6, 2, 9\/8, 1, -5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 648\/160 + 4*-1. Let n(q) be the third derivative of 0*q - 1\/6*q**3 + 0 - 1\/24*q**4 + 1\/24*q**6 + 3*q**2 + z*q**5 + 1\/105*q**7. Solve n(l) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63607154 * 0.8.\nAnswer: -50885723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1626600 + 344460 = 390*b. List the prime factors of b.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 2*w - 19*w = -48. Solve -4*a + w*x = 0, 8*a = 4*a - 5*x - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 y when four letters picked without replacement from wwyyyywwyyyyw.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.7*69793.\nAnswer: 188441.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 13. Which is the biggest value?  (a) r  (b) 0.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/9 + 272*j\/9 + 274\/9.\nAnswer: -2*(j - 137)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**6\/120 - 7*j**5\/12 + j**4\/8 - 2*j**3\/3 - 88*j**2. Find the second derivative of k(a) wrt a.\nAnswer: 6*a - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from nrjjnjtjpttttjt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((u + 3*u**2 - u)*(2*u**2 - 5 + 5) + (-5*u + 3*u + 3*u)*(0*u**3 + 0*u**3 - u**3) - 2*u**4 + 4*u**3 - 4*u**3)*(8 + 13 - 4).\nAnswer: 51*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l + 27. Let u be r(-10). Let d be 2 + 18\/u - 16\/28. Suppose d*p = -0*f + 4*f + 440, 3*p = -3*f + 318. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -322*o**2 + 43173*o*p**3 - 12752*p**3 + 18*p**2 + p wrt o.\nAnswer: -644*o + 43173*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -j - 2028. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0221 + 98288893667?\nAnswer: 98288893667.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 1:41 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 78638928911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 485 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*r. Suppose -4*b = 5*f - 0*f - 455, r = -b - 5*f + 125. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (1*(2*sqrt(187)\/(sqrt(11)*-1) + (sqrt(1377)*1 - sqrt(119)\/(1*sqrt(7)))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 629 and -14.48.\nAnswer: -9107.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m**4 + 22*m**3 + 222*m**2.\nAnswer: -24*m + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**3\/10 + 63*y**2\/2 - 476*y\/5 + 318\/5 = 0 for y.\nAnswer: -318, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7 + 2 - 6*f + 2. Let o be u(-1). Factor -2\/3*w**o - 2\/3 - 2*w - 2*w**2.\nAnswer: -2*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14b (base 13) to base 2.\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 4*x**2 + 3*x - 7. Let u be t(-5). Suppose 0 = -5*l - 8*l + 169. What is the second derivative of 24*p**3 - l*p**3 - 9*p**u + p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**2. Let s be (-3 + (-17)\/(-2))*6. Let r(l) = 10*l + 19*l - s*l. Give r(d(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7208 - -7207.967. Which is greater: 13\/3 or f?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.02255031 and 0.146.\nAnswer: 0.16855031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 4*u - 3. Let b = u + 4. Let v be -341*19\/(-2090) + 6\/(-60). Solve b*z - 12 = v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 + -33. Let i = 0.1 + -0.1. Which is the third smallest value?  (a) -2  (b) i  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 994616078?\nAnswer: 2, 97, 1361, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -16. Find the second derivative of 3*z - 6 + y + z**5 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1052, 2108, 3168, 4232?\n\"Answer: 2*k**2 + 1050*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {z: 1, k: 6, j: 3, t: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16 - ((2 - 4) + 3). Let w = -17 + t. Let k(y) = 6*y**2 + 4*y + 4. Let n be k(w). Solve i - 6*i = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 71871 or -3739?\nAnswer: -3739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 904058.9959 + -903992. Let d = 67 - g. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.12, -0.5, 1\/5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20764 is divided by 10380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -639, -633, -603, -537, -423, -249, -3, 327?\n\"Answer: 2*n**3 - 8*n - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 7*k**3 - 10*k**2 + k + 8. Let d be x(5). What is the highest common divisor of d and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1598, 17203 in descending order.\nAnswer: 17203, -2, -1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 9*q**2 - 72*q + 8. Give b(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18544 is divided by 3653?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20111111211 - -22?\nAnswer: -20111111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/2 + 1456*k.\nAnswer: k*(k + 2912)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 45 = 5*v, -v + 5*v = 2*v + 2*w + 22 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*c - 56*c = -117424 + 36784. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**2 + 14*t. Let j be k(-7). Suppose j*r = 2*r. Suppose r*s + 5*s = 0. Do 1\/5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120360620?\nAnswer: 2, 5, 71, 84761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101, 188, 321, 506, 749?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9.647 and 3.\nAnswer: -6.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-4)\/s)\/s)\/s**2*(s**1)**46)**(1\/25) assuming s is positive.\nAnswer: s**(38\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x + 334 - 280 = 0. What is the hundreds digit of -1 + (-12489)\/x - 28\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 232 and 952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1056 and 3117632.\nAnswer: 102881856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.145 * 406.\nAnswer: -58.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32511 - 32515. What is the second biggest value in -5, p, 9, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/9 in 306\/83, -7, -2\/3, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-2\/23))\/(i**(10\/3)*i) assuming i is positive.\nAnswer: i**(-236\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3 - 5 = -5*d, 3*d + 3*w - 6 = 0. Suppose 4*r + 4*v + 4 = 0, -8*v + 6*v - 2 = -4*r. Is d less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c - 5. Let v be i(-9). Suppose -2*k + v*j + 12 = 0, -j = -6*j - 5. Solve 0 = 4*m + k*n - 2*n, 0 = -5*m + 3*n - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 3*k + 3*m, 2*m - 2 = k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/800 and (((-1078)\/(-80))\/(-49))\/(-8)?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1091*m**2 + 1716 - 1716.\nAnswer: -1091*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 18*p**2 + 12*p + 3. Let g(d) = 9*d**2 + 6*d + 1. Let f(r) = -9*g(r) + 5*t(r). Let y(w) = -10*w**2 - 7*w - 7. Give -7*f(b) - 6*y(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11.19 + 13.2. Let k = -0.03 - -0.04. Let z = k - w. What is the third smallest value in 1\/2, z, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54311813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1815 and 600402?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -18. Let v be u\/(-33) - 42\/(-11). Suppose c - 2*k = -v*c + 90, -c = 4*k - 40. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 61 and 0.1.\nAnswer: 61.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - n - 2*n)*(4*n**4 + 3*n**4 - n**4) + 2*n**5 - 2*n**5 - 2*n**5.\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 5*h = -8, -5*h = -4*o - o + 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -2*a. Suppose 2*u + 3*b = 42 - a, -b + 73 = 3*u. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 w, and 1 z when four letters picked without replacement from {w: 10, p: 4, z: 4, b: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 77 = -45. Suppose -77*p - 11 - 5*p**2 + o + 24 + 37*p = 0. Calculate p.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.2, 0.07, 6, -1\/26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 - 12*s + 1. What is the units digit of k(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 150*a**4*m - 286*a**4*n*t - 14*a**3*n*t - 8*a**2*n*t - 3*a**2*n - 5*a*m*t - 2009*n*t wrt a.\nAnswer: 3600*a*m - 6864*a*n*t - 84*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*r**6*w**2 - 105*r**2*w**2 - 2*r**2*w wrt r.\nAnswer: 2520*r**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -605 at least -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2323 (base 4) to base 11.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 346461 + 345533. Let k be f - (12\/5)\/((-2)\/5). What is k rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*v - 20*v = 5*m - 18, 3*m - 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -15*i**2 + 1. What are the prime factors of z(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -4*d + 3*z + 17, 4*d + 2*z = 22. Suppose 2*v - 3*o - 2 = 4*v, d*o = -20. What is the least common multiple of v and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 16 = 432. Suppose f + 105 = w. Which is smaller: f or 83?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266363 is divided by 171?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 16254 divided by -43\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 204721, 204704, 204687, 204670, 204653?\n\"Answer: -17*m + 204738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 83*y = -151, -105 = 4*g - 3*y - 34 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -1, 2, 0.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 4. Let b(i) be the third derivative of 2*i**4\/3 - 2*i**3\/3 - 4*i**2. Let f be b(u). Calculate the highest common factor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7689, -30529, -68519, -121653, -189925, -273329, -371859, -485509?\n\"Answer: d**3 - 7581*d**2 - 104*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shhvuvsu. Give prob of sequence vu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -3658\/11, 0.1, 11, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r**2. Let s(h) = -205*h**2 - 3*h - 21. Let q(n) = -2256*n**2 - 32*n - 224. Let y(x) = -3*q(x) + 32*s(x). Give y(j(l)).\nAnswer: 1872*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*f**3 - 7*f**3 + 6*f**3)*(2*f + f - f)*(11 + 6 + 3) in the form z + j*f + t*f**2 + n*f**3 + a*f**4 and give a.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -14817, 1, 0.3, -36.\nAnswer: -14817, -36, -5, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34820352 and 106680.\nAnswer: 174101760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 9. Let i(c) = 323*c + 20. Give i(x) - 2*u(x).\nAnswer: 325*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 + 22. Suppose q*v + 129 - 612 = 0. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3026772 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 6. Let c = 36 - 30. Let i be d(c). Solve i = j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 927, 922, 913, 900?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 5*j - 3 = 0, -j = 3*v - 6*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {n: 6, v: 3, i: 2, m: 1, w: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1183.32 + 157.791?\nAnswer: 1341.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 20\/5*1230\/(-40). Let m = a + 616\/5. Factor -m*g**5 - 2\/5*g**2 - 2\/5*g**3 + 3\/5*g + 3\/5*g**4 - 1\/5.\nAnswer: -(g - 1)**4*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1135*s**3 - 119*s**3 + 101*s - 101*s.\nAnswer: -1254*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0.3. Let i = -11477 + 11525. What is the second smallest value in 4, i, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 4*u = -151, -104*b + 103*b = 27*u + 135 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 105*x**4 + 3084*x**3 - 8691*x**2 + 4494*x - 576 = 0.\nAnswer: -32, 1\/5, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 4) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17955617*a**2*w**2 + 3*a*w**2 + 6*a*w - 23642*w**2 wrt a?\nAnswer: 35911234*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**2 + 2*n + 4. Let q(x) = 9*x**2 - 108*x + 244. Let k(g) = 12*j(g) - 3*q(g). Suppose k(m) = 0. What is m?\nAnswer: 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4162120 to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2983 + -810. Let a be (-3)\/(-4) - z\/1804. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 greater than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3, 1, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s - s + 3*s)*(4 + 1 + 1 + (1 - 1 - 2)*(3 + 1 - 5) - 3 + 2 - 3)*(4 - 7 + 1).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*f + 24. Suppose -g = -3*r + 5, -2*g - 3*r = -0 - f. Let b(w) = -5*w - 3 + 3*w + g - 2*w. Let v(c) = 2*c + 1. What is -2*b(a) - 5*v(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35121 - -18232. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 51 = h. Let b = h - 9. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b - 9 = 35 - 5. Let x(h) be the second derivative of -10\/3*h**b - 15\/2*h**2 + 0 - 18*h - 5\/12*h**4. What is z in x(z) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f + f + 12 = 3*f, 22*k + 5068*f + 21 = 5065*f - 54 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/8 and -93\/1174?\nAnswer: 4696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-1*(8 + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w - 2480000 = -14*w. What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.270687 + -0.660629. Let g = -0.61 + p. Round g to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 818*g**3 + 310*g**3 + 891*g**3.\nAnswer: 2019*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -56470, -56427, -56356, -56257, -56130, -55975?\n\"Answer: 14*z**2 + z - 56485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/159714762 and -13\/319429524.\nAnswer: 319429524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -26 divided by -6245\nAnswer: 26\/6245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dgg when three letters picked without replacement from gdgdlwggggww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -512727*-0.2\nAnswer: 102545.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 + -86. Which is the nearest to -1?  (a) i  (b) 0.2  (c) -1\/125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 8:54 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -213994073 to the nearest one million.\nAnswer: -214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 651 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 - 44937*w**2 + 1664076*w + 1709012.\nAnswer: -(w - 38)*(w + 1)*(w + 44974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/1393728 and 29\/18360.\nAnswer: 62717760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12\/(-40))\/((-1)\/2))\/((-3003)\/285285)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 82.904 + 0.096. Let f = r + -82.4. Let m = 9.8 - 10.3. Which is the fourth biggest value?  (a) f  (b) 2  (c) -2  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 11:57 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1918.939 and 0.0804271.\nAnswer: -1918.8585729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 9. Let y be g(15). Suppose -94 = -3*q + 5*o, 2*o + 50 = 2*q - y. Suppose q = 6*v + 5. Solve -5*s - 6 = 2*b, -v*s + 2*b = 2*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1*sqrt(2) + 0.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 2 p, and 1 i when four letters picked without replacement from {i: 2, p: 2, n: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 2. Let b(w) = -9*w - 15. Let p(i) = -b(i) - 6*x(i). Let k(o) = -2*o. Give k(p(z)).\nAnswer: -6*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u - 5*u + 1 + 8*u)*((u + 2*u - 2*u)*(4 - 3 - 3) - 4*u + 2*u + u + 0*u - 5*u + 3*u).\nAnswer: 10*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/9)*o\/o**1)\/(o*o**3*o\/(o**8\/o))*(o**(-1\/3))**0\/(o\/(o**7*o)*o**(-1\/18)) assuming o is positive.\nAnswer: o**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 6*f. Let i be p(-6). Solve i = -3*q + 4 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12304*o = -12765*o - 34575 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-2)\/2)*((-4134)\/19812)\/53?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 135 + 129 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 3. Let b(r) = -r**3 - r**2 - r. Let i(g) = -5*g**3 + 8*g**2 + 8*g + 1. Let v(k) = -6*b(k) - i(k). Determine v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + (-8)\/20 - -1. What is the biggest value in -3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 1.5. Let k = 90 - 88. Which is the closest to k?  (a) d  (b) -4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 223727 + 17?\nAnswer: 223745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + 23. Let r = 216.4 + -253. Let g = y + r. Is 9 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -651.1 - -650.8. Let y = 11 + -7. Which is the third biggest value?  (a) y  (b) 1  (c) k  (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -0*a + 15. Suppose -3*w - a = 0, 2*c - c - 27 = 5*w. Suppose 0 = 2*v + c*v. Solve -15 = 5*d - t - 44, -4*d - 5*t = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11104 divided by -347?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -385329 + 192712 - 5*s + 192617.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/963 and -28\/1177?\nAnswer: 10593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11d + 0?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c**(-6))\/(c\/c**(-6)))\/(c**3\/(c*c\/c**(2\/23)*c)))**(8\/5))**(-3\/4) assuming c is positive.\nAnswer: c**(1668\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -13*b**2 + 9*b + 9. Let f(y) = -3*y**2 + 2*y + 2. Let x(r) = 18*f(r) - 4*k(r). Let n(l) be the first derivative of -l**2 + 1. Calculate x(n(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -5*p - 54. Let o be y(-12). What is the derivative of -33*s - 7 - o + 95*s wrt s?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/sqrt(144) + (sqrt(10)\/sqrt(5) + 4)**2 + sqrt(10)\/(sqrt(15)\/sqrt(3)).\nAnswer: 55*sqrt(2)\/6 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*-1)\/((102\/(-85))\/6*3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.5 + 25.9. Let t = i - 29.6. Which is the closest to -11?  (a) -0.4  (b) 3\/4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 2*h + 37. Let m be (-1*(8 - 3))\/(h\/8). Let v(p) = -17*p + 8. Let k be v(-6). What is the highest common factor of m and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503839 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 17*z + 126. What is the remainder when 62 is divided by j(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 168 and 36?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 10 = -5*o. Suppose -o*q = 0, 4*u + 228000 = 2*q - 3*q. What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 716, 816, 984, 1220, 1524, 1896, 2336?\nAnswer: 2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*i + 14 = 0, 0*c + 5*i - 11 = -2*c. What is the derivative of 8 + k - 4*k - c*k - k wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rikrbeibbr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68394 divided by -68394.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*c - 1. Suppose d = -c*d. Suppose 0 = -d*k + k - 9. Calculate the highest common divisor of 81 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14 - 2 - 6\/(-3). Suppose 0*c = 2*c - x. Is (-4)\/14 - (-2305)\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.4462964 years?\nAnswer: 0.0004462964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = o - 5. Put o, 5, 2 in descending order.\nAnswer: 5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gu when two letters picked without replacement from uippifiuiggggyi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/68787 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -57 - -88. Suppose 53*g - 175 = 290 + 383. Factor -30 + 6*l**2 + 4*l**2 - b*l - 8*l - g*l.\nAnswer: 5*(l - 6)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 - 44. Let y = r + 20. Let c be y\/(-6) + 8589\/6. What is c rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93808 is divided by 585.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4*l**2 + 2. Let h(c) = -3*c**2 - 2. Let v(d) = -2*b(d) - 3*h(d). Let p be v(0). Let n(r) = -4*r - 1. Give n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/((-280)\/(-14)))\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16033097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 35831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and -1795.34685?\nAnswer: 1798.34685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p + 4*i + 20, 2*p - 3*i + i = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 227243.7 centuries to years.\nAnswer: 22724370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99452, 198907, 298356, 397799, 497236, 596667?\nAnswer: 696092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/3 + 9 + (-1090)\/(-30). Suppose -4*g - 10 = -2*j + 90, 4*g - t = -j. What is the remainder when 431 is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -260072, -520148, -780226, -1040306, -1300388?\nAnswer: -1560472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10666136 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 12 = -z - 2*w, -4*w + 26 = 2*z. Suppose -2*q = -3*l - 66, -5*q + 2*l + 155 = -3*l. Let f = -25 + q. Solve 7*c + z = f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2 + -7 - ((-1 - -18) + -37) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.013 - -1.847. Let f = z - -0.04. Let a = f + -1.9000001. Round a to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -13  (b) -1\/5  (c) -1\/3  (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**21*p)\/((p*p\/(p**(3\/25)*p*p))\/p))\/((p**(-4)\/p)\/p)**(-37) assuming p is positive.\nAnswer: p**(-4972\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 354858 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/38, -0.18, -12 in decreasing order.\nAnswer: 3\/38, -0.18, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4200)\/(-5775) + 688*(-4)\/(-88).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -51 - 4*m + 100 + 5*m - 48. Let p(v) = -6*v - 3. Let u(y) = -y + 4. Let j be u(5). Calculate j*p(c) - 3*h(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -7246*b - 50693. Calculate h(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 728 - -182. Let y be -5 + 77 + (0 - 2). Calculate the greatest common divisor of y and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4 = 3*t. Suppose -5*g = -t*r + 26 + 19, 0 = -4*r + 4*g + 108. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 226.8 + 325897047?\nAnswer: 325897273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 82*y**2 + 7*y + 1134. Let g(a) = 79*a**2 + 8*a + 1144. Let n(i) = -5*g(i) + 6*p(i). What is the second derivative of n(u) wrt u?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 20*w**2 + 7*w + 2. Does 27 divide x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 917414768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, 0.7, 3\/10, 4\/3, 0.069 in decreasing order.\nAnswer: 1.5, 4\/3, 0.7, 3\/10, 0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 147646021 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2465 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 36 = -5*b. What is the greatest common factor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 2:09 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 + -44115?\nAnswer: -44124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (11\/33)\/(6\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3000 and 1680.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 1283*o**4\/4 - o**3 - o**2\/2 - 294*o - 6484. What is the third derivative of t(x) wrt x?\nAnswer: 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -122, -24, -3 in increasing order.\nAnswer: -122, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 919292057?\nAnswer: 137, 6710161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = 7, -5*i + 6*i = -4*i - b + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -453*g**2 - 3 + 500*g**2 + 3 to x*g**2 + d + j*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -42.69\nAnswer: 42.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, m: 3, w: 1}. Give prob of sequence wjm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20\/(-6)*-3)\/2. Let h(p) = 2*p. List the prime factors of h(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 185*u - 50. Let g(m) = -61*m + 17. Let q(i) = 2*a(i) + 7*g(i). What are the prime factors of q(-4)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1191703, 1190964, 1190225, 1189486, 1188747, 1188008?\n\"Answer: -739*t + 1192442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14654 - -4104?\nAnswer: 18758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.5 and -652.\nAnswer: -655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49840 and 92009624.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zqvdqddzoqqddoddzz. Give prob of picking 1 v and 1 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -29347\/32 or -917?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -193 + 195. Suppose u*z - 3*z + 4*a = -304, 636 = 2*z - a. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -w**8\/336 + w**7\/210 + 7*w**6\/60 + 13*w**5\/30 + 19*w**4\/24 + 5*w**3\/6 - 260*w**2. Factor c(n).\nAnswer: -(n - 5)*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**3\/2 - 147*y**2\/2 - 936*y - 864 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 17*y - 17. Calculate s(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -d**6\/60 + d**5\/30 + d**4\/12 - d**3\/6 - d**2 + 2*d. Let l(g) be the first derivative of j(g). Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 127, 476, 845, 1246, 1691, 2192?\n\"Answer: 2*w**3 - 2*w**2 + 341*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -18*p + 46 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -167, -1177, -3757, -8633, -16531, -28177, -44297?\nAnswer: -65617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4745, 4443, 3949, 3263?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 4*x + 4 + 4*x + 2*x**2 - 2. Let d be 3 - (-5)\/(((-66)\/12)\/(-11)). Let l(r) = 4*r**2 + 17*r + 4. Give d*j(c) - 6*l(c).\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.7 - -20.3. What is the nearest to 1\/5 in z, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.03 + 6.07. Let k = -6 + f. Let z = k + -0.0435. Round z to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 53, 399, 1343, 3185, 6225, 10763, 17099?\n\"Answer: 50*r**3 - r**2 - r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4940 - -4943. Let m(r) be the first derivative of r**2 - 16\/5*r**5 + 0*r**3 - y*r**4 + 0*r - 7 - r**6. Suppose m(u) = 0. Calculate u.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-11 - -9)) + (1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8562810 is divided by 2140537.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 393250308 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 67956976457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-24)*-2*-121*3. Let j = 130 + o. Solve 2 = -j*l + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -268446293 + 0.079524.\nAnswer: -268446292.920476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 6*f**2 + 5*f + 8. Calculate the remainder when w(-3) is divided by (2 + -1)*(-11)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 140 - 137.76. Let o = 30 - 30.04. Let j = o + r. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4028\/(-20) + 2\/5. Let d = -97 - g. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7884 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 2:29 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*(t**(2\/21)\/t)\/t)\/t**(2\/3))\/(t**0)**(-1\/10)*t**(3\/7)*t**(-3)*(t\/(t*t**(3\/5)))\/t**(1\/8) assuming t is positive.\nAnswer: t**(-803\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1044 + 3017. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 11:45 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 383249 and 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 13900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/3)\/(((a**(-2\/5)\/a)\/a)\/a))\/(a*(a**(-1\/4)\/a)\/a*a*a)**16*(a**0\/a*a)**34*(a*a**1)**(-2) assuming a is positive.\nAnswer: a**(-179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 320551 = 45*w + 319606 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -1002*u. Let v(h) = 47*h. Give d(v(f)).\nAnswer: -47094*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*o = 634 - 61 - 60. What is the lowest common multiple of 1854 and o?\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28865 + -28863. Which is the third smallest value?  (a) -3\/7  (b) -0.05  (c) 0.2  (d) n  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**3 - 7*i**2 + 3*i + 74. Let c(b) = 2*b**3 + 4*b**2 - 2*b - 37. Determine 7*c(f) + 4*s(f).\nAnswer: 2*f**3 - 2*f + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2*g + 12 = 0, -5*v + 14 = 4*g - 0. Let o(b) = 8 + 4 + 11*b + b**2 + v. Let m be o(-9). Is -5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -71*h**2 + 33 + 22 - 20*h + 793*h**2 - 35*h - 73*h**2. Let r(v) = -24*v**2 + 2*v - 2. What is -55*r(z) - 2*t(z)?\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o**2 + 5*o - 4. Let p be h(1). Let q(s) = s**3 - 6*s**2 + s + 1. Give q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -3*i, 5*i - 4*z + 9 = 54. Solve c - 3*y = -3*c + 19, i*c = 3*y + 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -239 - 1923.8168.\nAnswer: -2162.8168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (15 + -5)*12\/30. Let -1\/6*x**c + 1\/6*x**3 + 0 + 1\/6*x**2 - 1\/6*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-12)\/50)*(16080\/(-25))\/(-67).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.24 - -1.04. Put -0.5, s, -4 in decreasing order.\nAnswer: s, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*z = 348*z + 164*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -8*o**2 - 3*o**2 - 2 + 6 + 9*o + 12*o**2. Give t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**2 + w + 2. Let r be g(-2). Let b = 10 + r. Suppose 4*n - 2*j = -3*j + 49, 0 = b*n + 3*j - 37. What is the greatest common factor of n and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.5. Let x = 46.4 + -47. Let j = k - x. What is the second biggest value in j, 0.1, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -16 + 1. Suppose 26 + 0 = 5*b + 3*g, -b + 10 = j*g. Suppose 5*v = 25, -2*v = 2*f - b*v - 14. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155398 is divided by 1786?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1539)*2 - sqrt(1539)))**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(1\/(12\/(-72))). What is the fifth smallest value in -2, 4, 1, 23, b?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.77, 14, -2 in decreasing order.\nAnswer: 14, 0.77, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -51034\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-3) - ((-66)\/18 - -3). Suppose -q*k = 3 - 83. Solve -2*x - 4*t + 12 = 0, 6*x + 3*t = x + k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 9:59 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -41 and 0.01172.\nAnswer: -0.48052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 6:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 151216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 7*p**2 - 5*p + 5. Let y be i(6). Calculate the highest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21549753 is divided by 121?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -9. Let d be (-2 + (-12)\/g)*-3. Let z(l) be the second derivative of -l**4\/12 + l**3\/2 - 3*l**2\/2 + 2*l. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -211 + 381. Suppose 0 = -a + 6*a - p. Let l = a - 13. Calculate the highest common divisor of 42 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 9*d - 27. Let z be h(9). Let o = z - -19. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjfffjvvjvf. Give prob of sequence fjjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5119*m**3 + 851*m**2 - 851*m**2.\nAnswer: 5119*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(5 + -1 + -5). Suppose 7*m - 11*m = -32. Find the first derivative of -8*p + g*p**2 + m*p + 8*p**2 + 14 wrt p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -10, -57018, -25, 1, 3 in increasing order.\nAnswer: -57018, -25, -10, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -7\/24*r**4 + 0*r - 2*r**2 + 1\/120*r**5 - 2\/3*r**3 + 0. Let m(t) be the first derivative of v(t). Determine m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -856*r**3 - 12*r**2 + 8*r + 4. Let p(k) = k**3 + 3*k**2 - 1. Determine -g(t) - 4*p(t).\nAnswer: 852*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 304845 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w + 50. Let v be f(-24). Suppose 5*p - 28 - 12 = 0. Suppose 2*g = -a + p, 2*a - 11 = -g + v. Calculate the remainder when 23 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4170051 (base 8) in base 5?\nAnswer: -241010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 6*c**2 - 5*c. Let d be r(-5). Suppose d*z + 7*z - 364 = 0. What is the remainder when z is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + (1 + 4 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 202\/6 + (-28)\/(-21). Suppose -372*s = -377*s + w. Calculate the remainder when 29 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 38, -44, -242, -592, -1130?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 15*k**2 - 15*k - 627. Determine f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -10. Let a = 11 - 9. Solve 3*s + 0*u = 5*u - k, -a*s = -u + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 4650?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3671562 is divided by 10314.\nAnswer: 10092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1888 = -141*i - 95*i. What is the smallest common multiple of i and 218?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(22)\/((sqrt(11) - ((sqrt(33)\/sqrt(3) - sqrt(11)) + sqrt(11))) + sqrt(11)))*-2.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/10 + (-174)\/(-15). Suppose -40 = -4*z + 40. Let l = g - z. Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + z - 32. Let s = -6 - z. Solve s = 5*n + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j + 75 - 75)*(985 - 985 - 52*j**3)*(-1 - 9 + 2) to the form w*j**3 + b*j**4 + v*j**2 + m + q*j and give b.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 2:01 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7575, -42, 46.\nAnswer: -7575, -42, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 255, -2, 9 in increasing order.\nAnswer: -2, 9, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 13*c + 2. Determine x(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 249  (b) -3  (c) -673  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -60772, -60774, -60776, -60778, -60780?\n\"Answer: -2*f - 60770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 650347920.\nAnswer: 2, 3, 5, 17, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 2.5. Let g be (1\/(-2))\/(21\/28). Sort -0.2, w, g in descending order.\nAnswer: -0.2, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.402 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9465563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52430855?\nAnswer: 5, 10486171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -1147085?\nAnswer: 3441255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3765541548 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 2*g - 1, 5*g - 16 = -4*j - 5. Let c(a) = 3*a. Let x be c(j). Let l = -176 - -171. Put -1, l, x in decreasing order.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 823096.6112970271 - 0.1782970271. Let d = 822351 - z. Let x = d - -746. Round x to 2 dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from ibibbbi.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, -27, 0, 24, 4, -16 in ascending order.\nAnswer: -27, -16, -9, -3, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5959 + 0.0089. Round j to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, 0, 2, -4, -5, -2 in decreasing order.\nAnswer: 68, 2, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1018*p**3 + 15*p**2 + 5*p + 1557. Let s(r) = -1019*r**3 - 18*r**2 - 6*r - 1559. Let g(z) = 6*c(z) + 5*s(z). What is the derivative of g(v) wrt v?\nAnswer: 3039*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1541 + -0.836?\nAnswer: -0.6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 2*o - 2*n + 6, 2*o + 5*n = -1. Factor 3*v**4 + 21*v**3 - v**2 + v**o - 18*v**3.\nAnswer: 3*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -26*c + 19*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 15*z - 22. Let h be k(-13). Suppose 3*v = b + 2*b - 24, -h*v = -2*b + 22. Calculate the highest common divisor of b and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -6\/9343, 0.29 in descending order.\nAnswer: 4, 0.29, -6\/9343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 858 = 9*x - 6855. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46668673 by -53.\nAnswer: -880541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6634859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44232306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of ((-4)\/5)\/(-2) - ((-543569)\/65 + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**2 + 21*f**2 + 6*f - 6*f.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - 22684.\nAnswer: -22681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1  (b) -9.05  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/4, -4\/7, -3, -9\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(6534)*5)\/((1*sqrt(750))\/(-3*sqrt(30)\/sqrt(3))).\nAnswer: 99*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*u + 106 + 6640 + 24076. What is the remainder when u is divided by 127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/388 and -41\/173060.\nAnswer: 16786820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18956 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n. Let m be 6\/(-18) - (-21)\/9. Let y(d) = 4*d**m - 3*d**2 + 6*d**2. Give y(t(c)).\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 9*q - 226. Let t(u) = -14*u + 339. Give -8*k(a) - 5*t(a).\nAnswer: -2*a + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -368130.75317 rounded to the nearest integer?\nAnswer: -368131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/21 and -58\/537.\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -2\/15, 44, 0.5 in descending order.\nAnswer: 44, 0.5, -2\/15, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 45*k**2 + 2*k - 9. Let h(s) = -228*s**2 - 11*s + 47. Let y(m) = 2*h(m) + 11*n(m). Let i(u) = -19*u**2 + 2. Determine 9*i(j) + 4*y(j).\nAnswer: -15*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 457741065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-30)*6)\/((-57)\/855).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/18*1890\/(-180)*(-12)\/21?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -67145.\nAnswer: -67145.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -8\/3, 1, -1\/4 in ascending order.\nAnswer: -8\/3, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7022365735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3 + (-120673*(-3)\/21)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-16)*(4 - 0). Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/3 + 7\/21. Suppose -k*o - 25 = -o. Let c be ((-90)\/o)\/((-4)\/(-10)). Is c > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 3:46 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-1\/7)*x)**(-19\/5)\/(x**4*x**(2\/23)))**(-27) assuming x is positive.\nAnswer: x**(242217\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6 - -16)*8\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**2\/19 + 2468*w\/19 - 761378\/19 = 0?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 255, 239, 221, 207, 203, 215?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2820*c**3 + 5 - 188*c + 72*c - 5 - 2831*c**3 + 116*c.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201200112112 (base 3) in base 9?\nAnswer: 1650475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.72 - -2.2. Let o = s - -0.02. Let w = 0.8 - o. Do 2 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1161233*h**3 - 2005520*h**3 + 2*h + 2 - 3*h.\nAnswer: -3166753*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 e when three letters picked without replacement from iiiennnqnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-66)\/2)\/(1000\/(-56) - -18). Let x = -145 + 14. Let r = x - g. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/6)\/((-3)\/126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**8\/5040 + x**5\/60 + 6*x**2. Let c(i) be the third derivative of u(i). Let o(s) = -2*s**2. Determine o(c(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 89286440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 21.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.992 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-991)\/(-34685)*(-4)\/(-6).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/675664 and -73\/616.\nAnswer: 4729648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 7:01 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 222*r**2 - 3143*r + 6286*r - 3143*r.\nAnswer: 222*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) - (-3*sqrt(176) + -3) - (2 + (sqrt(110) - (sqrt(110) + (3*sqrt(110) - sqrt(110))))\/sqrt(10)).\nAnswer: 1 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 7*t**2 - 8*t + 62. Let q be g(7). Let w = q - 338. Solve -2*b + 4*b = 4*a - 10, -4*a + b = -w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 833399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*a**2 - 162*a**2 - 311*a**2 + 147*a**2 + 166*a**2.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-57)\/(-12) + 1\/4. Suppose -t + 51 = x*n - n, 11 = -n - 5*t. Let y = 28 - n. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 75, -15, -1, 32 in decreasing order.\nAnswer: 75, 32, 4, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/17  (b) -0.2  (c) 122.883\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 + 20 + -6 + 4 + 1 + -11 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 10:20 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 210042424 - 5?\nAnswer: 210042416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*m + 3465 = 123*m + 279*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 + 6 + (9 - -17).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 5*d**8\/56 + 2*d**5\/5 + 27*d**2. What is the third derivative of u(x) wrt x?\nAnswer: 1800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/18*3\/2 + 4. Suppose -80 = 2*g - 2*c - 236, -w*g = 5*c - 234. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16796691 is divided by 146?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 20 = -0. Suppose 3*f + 4*s + 47 = 0, -5*s - 1 = -h*f + 6*f. Which is smaller: f or -20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-100)\/(-6))\/(-6*(-6)\/108). Suppose 18*b + s = 28*b. Put b, -19, 1 in increasing order.\nAnswer: -19, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1657159 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*1\/9*3. What is the third derivative of -5*k**t - 3*k**5 + 6*k**2 + 2*k**2 + k**2 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 194\/(-291)*(-15)\/70. Determine j, given that 0 + 0*j - 4\/7*j**2 + y*j**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 41*o + 176. Let u be k(32). Let l = 447\/4 + u. What is the nearest to l in -2, 2, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7\/27 + 2\/27. Let m be ((-45)\/(-30))\/((-9)\/(-4)). Let l be (-11)\/9 + (-2 - -3). Sort l, k, m in decreasing order.\nAnswer: m, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.4 - 32.2. Which is the third biggest value?  (a) 1\/2  (b) o  (c) -26.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + sqrt(1900))**2 + 2.\nAnswer: -60*sqrt(19) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2904 and 46101.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/6098273?\nAnswer: -2\/6098273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 3, -4, 1\/2, 1\/92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 617483089?\nAnswer: 1091, 565979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000597837497 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)\/(sqrt(40)*-5) + (sqrt(605) + -1)*-3.\nAnswer: -331*sqrt(5)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/13 + 88*h\/13 + 86\/13.\nAnswer: 2*(h + 1)*(h + 43)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 31*c + 372. Let g be x(34). What is the highest common divisor of 870 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/7))**(-49)*o**(-2\/5)\/((o\/o**(-17))\/o) assuming o is positive.\nAnswer: o**(-227\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyiiyiiiyfunyufiffi. What is prob of picking 1 f, 1 n, and 1 u?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42260 + -29157. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40616 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 7*i + 2*i + 0*i + 2*i + 0*i - 3*i + (3 - 3 + 1)*(-2*i - 3*i + 3*i) + 2*i + i - 5*i.\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7397204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16939*o**4*z + 779*o**3*z**3 + 4*o**2*z**3 - 4*o**2 - 8*o*z**2 - 3*o - 9*z**3 + 1289*z**2 wrt o.\nAnswer: -406536*o*z + 4674*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xk when two letters picked without replacement from ldxieeelexdkdxx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 7*m - 29. Determine g(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8160 and 33576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 780\/(-320)*6*4\/(-18)*-8\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 plus -3.252?\nAnswer: -11.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**9\/2016 + z**7\/560 - 7*z**3\/6 - 3*z. Let p(g) be the second derivative of u(g). Find j such that p(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 2*z = -10*m + 3, 0 = -3*z + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2227 is divided by 574.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15822 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -19. Which is bigger: 4\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-140)\/105)\/(3648\/3078).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20132 and 97784.\nAnswer: 684488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 5 + (sqrt(5)*2 + -2)*-5)*1)**2 + -3.\nAnswer: -200*sqrt(5) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 26*n**3 + 193*n**2 - 19. Let t(k) = -20*k**3 - 145*k**2 + 14. What is -7*l(z) - 9*t(z)?\nAnswer: -2*z**3 - 46*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/15660 and 103\/1849320.\nAnswer: 160890840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -143, -142, -141, -140?\n\"Answer: p - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2403 + 2401.3572. Let d = j + 0.0068. Let i = 1.6 + d. Round i to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40378 - -69269. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 152510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by 35051.\nAnswer: -20\/35051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6\/61 + 3013\/244. Find the common denominator of d and 25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1890356?\nAnswer: 2, 13, 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 139 - 2030\/(-870)*(9 - 0).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/40 and (-2)\/17 - 99807\/(-104040).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + -2)*(-1201)\/(-14). Let p = -172 - c. Put 6\/23, 2, p in ascending order.\nAnswer: p, 6\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1668, 1419, 1198, 1017, 888, 823?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/8 - 12\/(-48)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 + g + 7. Let r(f) = -7*f**2 + 14 - 3*f**2 + 2*f + 4*f**2 - f**2. Let s(c) = 5*h(c) - 2*r(c). Give s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 110*q**2 + 2*q + 231. Let s be l(-110). Solve -3*w + s = -8*r + 9*r, -5*w = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -4 - (0 + -1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 275 divided by 55\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0 = -4*x + 2, 4*v - 4 = 2*x. Solve -3*m + 3*g = 0, x*m - 8 = 3*m - g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2084 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -403246 and 2.\nAnswer: -806492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -18*u**2 - 18*u + 88. Let l(p) = -66*p. Give l(b(f)).\nAnswer: 1188*f**2 + 1188*f - 5808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2\/z*z)\/z)**0*z**(1\/5)*z**7*z assuming z is positive.\nAnswer: z**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/4 and -25 + 23 + 43\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 1.147471 microseconds?\nAnswer: 1147.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 7. Let w(j) = -3*j**2 + 3*j + 3. Let o be w(3). Is m(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/2508 and -55\/1922?\nAnswer: 2410188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-6)*(-9 - -1) + -10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x - 4*x = -6*x - 102. Let r be (-3 - -1)*6\/(-4). Let a be 5*(-2 + 3)*1. Sort -5, x, r, a.\nAnswer: -5, x, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 574 - 391. Is a a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/3)\/c*c\/c**(-7))**(-2\/7)\/((c*c*((c\/c**0*c)\/c)\/c*c)**0)**21 assuming c is positive.\nAnswer: c**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 0*j = -32. Let p = j - 23. What is the tens digit of 9\/2*(-110)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*l + 1674 + 5806 = 0. Calculate the least common multiple of l and 44.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 284 - 824\/3. Is 9 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 274595445*f - 549190870.\nAnswer: -5*(f + 2)*(f + 54919087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -5\/2  (b) 4\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 205 - 193. What is the remainder when 88 is divided by 69*((-2)\/(-12) - (-6)\/f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -551, -1033, -1493, -1925, -2323, -2681, -2993, -3253?\n\"Answer: i**3 + 5*i**2 - 504*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l*l**(-1\/60))\/l)\/(l**(-3\/13)*l) assuming l is positive.\nAnswer: l**(167\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -4, 0.5, 0.4, -2\/3, -0.0507?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 18\/7 of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92620.6 days to hours.\nAnswer: 2222894.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/12, 5 in decreasing order.\nAnswer: 5, 0, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12448 and 4183.\nAnswer: 52069984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2915, -5851, -8787, -11723, -14659, -17595?\n\"Answer: -2936*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s - 3*w - 17, -5*s + 2*w + 0 = 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + -30 + 43 - 53.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6509\/(-566)*(-4)\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 768237\/92 or 8349?\nAnswer: 768237\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 37*t. Let l(k) = -277*k**2. Calculate p(l(w)).\nAnswer: -10249*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 3:09 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6766 + -0.2766. Let z = 0.2 - 0.4. What is the nearest to z in -2\/9, 2, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -1331010?\nAnswer: -1331012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42\/247 + 10984\/2223. What is the common denominator of v and (-27)\/4*(-10)\/(-12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 1:17 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1437?  (a) -0.2  (b) 1\/7  (c) -0.3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7056) + sqrt(7056)*4 + sqrt(7056) + sqrt(7056) + sqrt(7056) + sqrt(7056) + sqrt(7056))\/sqrt(7))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1499 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30213 is divided by 29159.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**3 + z**2 - 2*z - 2. Give x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 9*r**2. Let x be u(-9). Suppose x = 3*n - 6*n + 231. Calculate the greatest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -91.75 - -91.7. Which is the smallest value?  (a) -4  (b) -2  (c) z  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of -w**4\/12 + 3*w**3 - 59*w**2\/2 + 2808*w. What is i(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*v - 30*v - 29*v - 25*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5, -1, 743, 3.\nAnswer: -5, -1, -0.1, 3, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 5*t + 1. Let h(i) = -9*i - 2. Let x(o) = -7*b(o) - 3*h(o). Let v be x(-1). Let l = -85 + 120. Calculate the greatest common divisor of l and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*-1*4\/16. Let n = b - -10. Let x = 5 + n. What is the highest common divisor of 80 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 256485\/12*(-2)\/(-20). Let b = n + -2145. Calculate the common denominator of (-15)\/90 + 283\/24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/1161 and -17\/18.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -695\/3 and -232 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*u + 792813 = 65*u + 28477. Calculate the greatest common divisor of 186 and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 14*x = 11*x + 3, 3*b - 9 = -3*x. Solve b = -18*k + 15*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -536 divided by -8?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 33992 divided by -28\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -766, -762, -760, -760, -762, -766?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x + 5*x + 159 + 472. Is o(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t**3 - 106*t**2 + 80*t + 284. Calculate x(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4e (base 16) to base 4\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.7221 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + n + 22. Let f be y(5). Let t = -8 - -13. Suppose d + t = f*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05466 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l\/(l*l**(-6\/5)*l))*l**(5\/6))**(10\/7))**24)**(-1\/14) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**4 + 0*b**4 + 28*b**4 + 0*b**4 + 3*b**4 + b**4 + 0*b**4 - 2*b**4 + b**4 + (1 - b - 1)*(-4*b**3 + 3*b**3 - b**3).\nAnswer: 37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 35859*s**2 + 15301*s*v + v + 1307342105 wrt s.\nAnswer: 71718*s + 15301*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eooeeeooeeooehehoeee. Give prob of picking 2 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 49288959 to the nearest integer?\nAnswer: 7021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 247259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/650216 and -1\/14651.\nAnswer: 1360902088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31615380 by -4610.\nAnswer: -6858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5994 - -2900. Let s = q - -37103\/12. Calculate the common denominator of s and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 11*f**2 + 11*f + 12. Let v be y(-10). Which is the closest to v?  (a) 0.4  (b) 5  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.061 + 66.061. Let d = 47 - w. Let z = d - -19.000003. Round z to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 764 + -103. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146335417 to the power of 1\/2, to the nearest integer?\nAnswer: 12097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -273.86 + 267. Let g = s - 0.14. Let a = g + 6.9. What is the third smallest value in 4, 2\/17, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1340211336?\nAnswer: 2, 3, 29, 37, 71, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 46 = -2. Let h(n) = -2*n**2 - 5*n + 4. Calculate h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**4 + k**3 + k - 1. Let x(z) = 14*z**4 + 12*z**3 + 18*z - 12. Let j(b) = -12*n(b) + x(b). Find the second derivative of j(c) wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -2*b**2 + 5*b + 6. Let q = 7 + -7. Let g = 4 + q. Calculate t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*v + 4 + 2*v - 2*v)*(-6 + 1 + 1) as u + p*v and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.3  (b) 0.1  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 - 3*h - 2. Let b be p(-2). Let g = -137 - -687\/5. Let n = -0.05 - 1.95. What is the closest to b in n, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 30 = -24. Let f be 68\/18 - 4\/l. Find the second derivative of 3*i**3 - f*i + 65*i**2 - 65*i**2 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/24)\/((-2)\/(-8))*1038. Let z = r + 1464. What are the prime factors of z?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 13843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/25 and 61\/3125?\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8322197 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/27)\/(2\/(-108)). What is the units digit of (d\/27)\/(4\/2034*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 62 + 37 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 0*g**5 + 0 - 13\/3*g**3 + 0*g**4 + 17*g - 13\/15*g**6 + 0*g**2. Find the second derivative of k(w) wrt w.\nAnswer: -312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -2\/27, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = -2*i - 2*h - 2094, -5*h - 2374 = 2*i. Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2. Let n(x) be the first derivative of -3*x**5\/40 + 86*x**3\/3 - 65. Let q(v) be the third derivative of n(v). Determine y(q(w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1148 - 1048. Calculate the smallest common multiple of 120 and z.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2239067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2253)\/1584 + 8\/(-44) and 97\/304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and 1346328?\nAnswer: 1077062.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 8:20 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w - 2*w + 361*w**2 - 363*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*k - 35*k = 92*k - 5*x + 450, 3*x = -5*k - 91 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 221 or 146?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -14\/3  (b) 0.0581  (c) 0.1  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 4*y + 3709, 2*g + 30*y = 33*y + 1478. Calculate the remainder when g is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or -1047\/20?\nAnswer: -1047\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/1997?  (a) -4  (b) -7  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 2*k - 2. Let d(z) be the first derivative of -z**4\/4 - 2*z**3\/3 - 5*z**2\/2 - 4*z + 7. Determine -2*d(w) + 5*h(w).\nAnswer: 2*w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 125469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109610 divided by -937.\nAnswer: -109610\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, q: 3, h: 1, d: 1, t: 2}. Give prob of picking 1 t and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/7, 2\/23, -4, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2. Let h be 5\/(-105) - (-287)\/2940. Let l(f) be the third derivative of 0*f**4 + 0*f**3 + 0*f + f**2 + 0 + h*f**5. Determine y(l(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -38*7654\/(-75164)*-23\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d = -36*d + 310 - 2242 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 2*i - 80 + 110, 51 = 2*r - 5*i. Suppose -5*o + o = -4, -104 = -5*c - 4*o. Calculate the greatest common divisor of c and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14742\/36)\/(-7)*84\/(-182).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -20, -26, -44, -80, -140?\n\"Answer: -k**3 + k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, n: 1, m: 1, b: 1, o: 1, s: 4}. Give prob of sequence nm.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -137.61 - -137. Let a = v - -16.71. Let m = -16.1000113 + a. What is m rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-9)\/(-30))*(-60)\/50?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -5*u + u**2 + 4*u - u + 9*u**3 + 1. Let m be o(1). Suppose -h + m = 2*h. Calculate the greatest common factor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.475931 minutes in microseconds?\nAnswer: 148555860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13587 or -13562?\nAnswer: -13562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - -25. Let f = 9 + d. Calculate the highest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qcocoogogoxqgqo. What is prob of sequence qqxg?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + -1 + (1 - -12). Suppose 0*o + 5*o = a - 30, k = -o + a. Suppose 0 = -3*s + 7*s - 48. Sort 0.5, s, o in decreasing order.\nAnswer: s, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2625)\/140 + 18 - (-3)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = t - 4*y, 6*t - 111*y = -113*y + 4. Sort -3, 1, t, 310, 4\/7.\nAnswer: -3, 4\/7, 1, t, 310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9590194.\nAnswer: 2, 4795097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 4*v + 2, 0 = -5*s + 5*v - 33 - 17. Let x(o) = o**2 + 6*o - 4. Calculate x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(171) + 5*sqrt(171)*-4 + -2 + 5)**2*5*5.\nAnswer: -8550*sqrt(19) + 1543500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -0.05, 148, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -676*w**3 + 486 wrt w?\nAnswer: -2028*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in -0.4, -5917, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -1102060212?\nAnswer: 1102060214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l - l)*(-6*l**2 - 18*l**2 + 145*l**2).\nAnswer: -121*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -4, -3, 2, -2\/11, -3\/6752, 1, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101 - 86.8. Let p = 2.2 + 11.8. Let r = p - l. What is the biggest value in -3, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**5 - 26 + r**5 + 6*r**5 - 1 - 4*r**5 + 1 + 4*r**5 - 4*r**5 - r**5 + (2*r**3 - 3*r**2 + 3*r**2)*(r**2 + 3 - 3).\nAnswer: r**5 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 11:05 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 16. Let b = 4 - -4. Let x = h + b. Put 3, x, -3 in ascending order.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4714143149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 322529763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-253)\/(-1380)*6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13669 + -13667. Factor 1\/2*g**t - 4*g + 6.\nAnswer: (g - 6)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 111 - -153. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + (-33)\/9)*63\/(-14). Suppose 4*n + 12 = -2*r, -3*r + 5*n = -34 + 8. Solve -j*p = -p - r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 1:34 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -18915203\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -3, -38, -4, 313.\nAnswer: -38, -5, -4, -3, 5, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -486*n**3 - 9*n**2 - 816*n + 3. Let o(j) = 484*j**3 + 12*j**2 + 817*j - 4. Let s(t) = -3*o(t) - 4*v(t). Find the second derivative of s(f) wrt f.\nAnswer: 2952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-26))**(-1\/28))**19 assuming k is positive.\nAnswer: k**(247\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.273 and 0.5.\nAnswer: 0.1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -210420.5 to the nearest one hundred.\nAnswer: -210400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.818 + 0.068. Let j = -2.8 - h. Let i = j - -0.05. Which is the smallest value?  (a) -0.4  (b) i  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + (-112 - -107).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/27?  (a) 1\/2  (b) -0.46  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29 in 0, -0.27, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 22*l - 14*l - 2*l**2 + 2 + l**3 + 39*l + 0 to y*l**2 + i + o*l + f*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*f**2*l**3 - f**2*l**2 + 211*f*l**3 - 6834*f*l**2 wrt l.\nAnswer: -132*f**2 + 1266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-32))\/((-9)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 199 divided by -8\nAnswer: -199\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5.4*64\nAnswer: 345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -220211111 (base 3) in base 13?\nAnswer: -8317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + (-6528)\/(-39) + 0. Let b = -171 + g. Calculate the common denominator of b and 40\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-2)*4\/6. Let q be 3\/(-2) + (-2709)\/(-630). Factor q*j**p + 0 + 4\/5*j + 6\/5*j**3.\nAnswer: 2*j*(j + 2)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53636404.5 rounded to the nearest 100000?\nAnswer: 53600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/3 - 1714*f**2\/3 - 3422*f\/3 - 570.\nAnswer: -2*(f + 1)**2*(f + 855)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1020 and -13.\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -16, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -4 - -7) + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-150)\/(-4)*(-4)\/(-6) - -6. Suppose g*s - 5399 + 2175 = 0. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 903 and 774.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5351 + -5005. Solve -44 = -335*f + u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 23325?\nAnswer: -23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 10*p**4\/3 - 17*p**3\/3 - 5*p + 5. Find the second derivative of f(x) wrt x.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46202069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24858)\/8*(-1 + (-2 - 1)). Suppose -9*j - c = -18*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c\/(c\/c**(-22)))*c**(1\/11))**(-29))**(-8\/7) assuming c is positive.\nAnswer: c**(56376\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -39112*k**2*w**3 + 1054*k**2*w**2 - 2*k**2*w + k*w**2 - 44*w**3 + 628*w wrt w?\nAnswer: -234672*k**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + (6 - (-8 + 3)). Suppose -c = -8*b + 7*b - y, 0 = -5*b + 2*y + 5. Factor 1\/4*x - 1\/8*x**2 - 1\/4*x**b + 0 + 1\/8*x**4.\nAnswer: x*(x - 2)*(x - 1)*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-1)\/(-2)*0. What is the common denominator of (h - (-4)\/26) + 10449\/(-234) and (-550)\/(-12)*(-1)\/((-30)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1414781.\nAnswer: 617, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from ossuoolrollroso?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z - 6. Let r be p(8). Let b be (-1 + 1 - 5)\/1. Let d(x) = x**2 + 2*x. Let y be d(b). Solve 0 = -3*j - r*j + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + -9*36 + -1. Let l = -326 - q. Solve 1\/7*t - 1\/7*t**l + 2\/7 = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17718226668*f - 7*f**3 - 26*f**3 - 9*f**3 + 17718226668*f.\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 12. Let z(i) be the third derivative of 1\/6*i**3 + i**2 - 1\/60*i**5 + 0*i + 0 + 1\/4*i**4. What is z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4684465 (base 9) to base 6\nAnswer: -130204005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(4\/3)*j**20)\/(j**(-8)*j**(19\/4)*j) assuming j is positive.\nAnswer: j**(263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1430274504.\nAnswer: 2, 3, 23, 41, 63197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 407, 1585, 3549, 6299?\nAnswer: 9835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -39, -23, -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 6*l + 19. Let j(t) = -t**3 + 7*t**2 - 11*t + 12. Let h be j(6). Let d = h - -25. Calculate the least common multiple of u(d) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 11 + 20*h to z*h + k and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(968) - (sqrt(968)*1 + 2) - -6*(5 + sqrt(128)))**2*-1.\nAnswer: -5392 - 2688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1102001 + -200?\nAnswer: 1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -5 - (-4 + -1) - (-14 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -17*i**4 + 9*i**3 - 42*i**2. Let l(t) = -9*t**4 + 4*t**3 - 21*t**2. Let y(n) = -9*l(n) + 4*w(n). What is the third derivative of y(s) wrt s?\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 103 = 4*x + 86, 3*r = 4*x - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -39 in 1.3, 0.2, 37, 2\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**4)\/z**(-8))\/(z**(2\/11)*z)**25)**(-30) assuming z is positive.\nAnswer: z**(8100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33.8 + 33. Let d = -24146.80024 + 24146. Let k = d - t. Round k to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2343288415\/2838 - -825683. Find the common denominator of 27\/86 and h.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89286 is divided by 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3588 + 5453. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10821 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 320 - 320. Suppose 38*w - 33*w - 80 = l. Calculate the least common multiple of w and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -8, -2 in descending order.\nAnswer: 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m - 2*m + 4*m)*(25 + 70 + 1).\nAnswer: -96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 43*n**2 + 33*n + 2740. Determine w(-42).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y - 55. Let w be l(-17). Let -131*g**2 + 29 + w - 45*g + 134*g**2 = 0. Calculate g.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + r = 4*m - 258, -317 = -5*m + 3*r. Let s = m - -42. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3882 divided by -1294?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3175715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -0.07, -6, -0.4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 14\/7*16\/96*120\/(-2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u + 14139032 - 4105305 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 656 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 13\/13*1\/(1 + 3). Put -5, 1, -1\/3, y in descending order.\nAnswer: 1, y, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -7. Suppose 2*f - c*f + 16 = 0. Let t be f\/(-2) - 4\/(-2). Solve 4*y + 3 = 3*y - 4*z, -3*y + 3*z + 6 = t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2 - 5)*(-12*d - 10*d + 9*d)*(-1 + 3 + 0 + (-3 + 1 + 0)*(4 - 1 - 2) + 2 + 0 - 3) in the form b*d + p and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + c**2 - c. Let w be h(1). Let t be (2 - w*-78) + 1. Let b = t - 4. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (790 - 768) + (-5 - -3) + 2 + -138?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j + 1. Let l be p(-1). Let z be (-28)\/8*l\/7. Is (12\/9)\/(z\/177) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 19*y + 3*q - 3 = 0, -3*y - 13 = 2*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s + 2*s**4 + 0*s + (-s - s + 4*s)*(3*s**3 + 6*s**2 - 6*s**2) + s**4 + 3*s**3 - 3*s**3.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 330 + -157. Let j = -173.027 + v. Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3037, 2599, 2227, 1927, 1705, 1567, 1519, 1567?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of f**4\/4 + 5*f**3\/3 - 5*f**2\/2 + 49*f. Let k be t(-6). Solve 3*v + 6 = 0, -k + 18 = -5*n + 5*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 1238260?\nAnswer: 3714780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of 0*x - 88*x**2 + 17\/10*x**5 + 73\/6*x**3 + 0*x**4 + 0. Differentiate z(b) wrt b.\nAnswer: 204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/18 and -59\/138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 56 + 2*t - 3*t.\nAnswer: 2*t + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 2:12 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -15. Suppose c = 5*p - 4. Suppose 0 = 6*n - p*n. Solve j - 2 + 1 = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 PM and 11:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r - 3*r + 2*r)*(3 - 1 + 9)*(-2 + 5 + 0) as b*r + w and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*(-2*y + 3*y - 2*y)*(-56*y + 25*y - 14*y) as i + t*y**2 + w*y and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {e: 3, z: 3, p: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1 + sqrt(605)*-3 + 3))**2.\nAnswer: -4752*sqrt(5) + 196164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.469 + -0.669. What is the third biggest value in -11, b, 3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1352.3 rounded to the nearest 10?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-1)\/(-15))\/(180\/(-360)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 21609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 - 44*b - 458. Give i(0).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(4\/13))\/(z**10\/z)*(z**(-8)\/z)\/(z**6*z) assuming z is positive.\nAnswer: z**(-316\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -m**4\/3 - 126*m**3 + 380*m**2 + 286*m - 2. Suppose k(n) = 0. What is n?\nAnswer: -190, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 245 - 200 = 0. What is the smallest common multiple of r and 125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.59159cm to kilometers.\nAnswer: 0.0002959159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -137 and -13639582.\nAnswer: -13639719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.01 or -22\/27?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5040099 is divided by 8222.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1487381 - -23.552.\nAnswer: -1487357.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/3642 and -137\/7284.\nAnswer: 7284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -7*c - 13*c. Solve p + 0*p + k = 1, c*p - k + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 48 = -12. Solve -3*k - u = -0*h + 5*h, 0 = 2*k + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 6 + 0 + 6 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -29, -2\/5, -15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 8:40 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r. Let s(c) = -3*c. Let l(h) = 4*s(h) - 5*t(h). Let p(j) = 5*j**2. Give l(p(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from ssssswsssswssws.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161479327.\nAnswer: 5813, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r + 2*r**3 - r - 4*r. Let x be (-22)\/(1 + 1) - -1. Let v(z) be the first derivative of -3*z**4\/2 + 5*z**2 - 4341. Calculate x*f(h) - 3*v(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 30 = -f. Let c = f + 79. What is the remainder when c is divided by (1 - 21\/(-15))\/(43\/215)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b**2 + 61*b + 554.\nAnswer: -2*b + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 14*q - 7182. Let s = -431 - q. What are the prime factors of s?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 43331484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -0*g. Suppose g = -3*f + 4*k + 5, f - 11 = -4*f + 4*k. Put 5, f, 0 in descending order.\nAnswer: 5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 12 + 52 = 2*w, 3*w = 0. Suppose -g = 4*h - 24. Suppose 17 = h*f - 3. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38878.25146 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -379*f = -322*f - 54492. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 9 + t**3 + 34*t + 19*t**2 + 21 - 17. Calculate the remainder when 64 is divided by v(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppwwzpzwppwzzzzpzpz. What is prob of sequence pz?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2061\/24 - 7\/(-56). Calculate the highest common factor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1425*j + 1425*j + 10*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10432 = 11*z + 2017. Suppose -17*r = -22*r + z. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rgrrggrgggrrrrorgrrr. Give prob of sequence ogr.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21108*g*p**3*s + 11*g*s + 457*p**2 - s wrt p?\nAnswer: -126648*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 34, 60, 82, 100, 114?\n\"Answer: -2*z**2 + 32*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 - -123. Let q = 166 - s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 34. Suppose 5*a - g = 196. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**3 + 111*a**2 - 225*a + 113 = 0.\nAnswer: -113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 60 = -4*b - 0*b, -g + 78 = -139*b + 134*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*w**4 + 6*w**2 - 256*w - 2229443 wrt w.\nAnswer: -12*w**3 + 12*w - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.664125ml in litres?\nAnswer: 0.005664125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11103, 4, -5, -4 in descending order.\nAnswer: 4, -4, -5, -11103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h - 3*h**4 - 3*h**2 - 1 + 10*h**2 - 9*h**2 in the form v*h**3 + l*h + f*h**2 + w*h**4 + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l - 3*l + 3*l)*(0*l - l + 2*l) + 3441*l + 50370*l**2 - 1704*l - 1737*l as i*l + d*l**2 + x and give d.\nAnswer: 50369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 60 + 42 = 0. Suppose 8*g - 3*g + z - 785 = 0, 0 = -2*z. Suppose -2*k = t - g. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 280*t. Let a(f) = -31*f. What is -28*a(o) - 3*g(o)?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -45*m + 15*m - 150 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -34, -1, -65, -113 in ascending order.\nAnswer: -113, -65, -34, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 2*n - 18 - 37 - 63, 0 = 3*n + 195 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p. Let j(s) be the first derivative of s**3\/6 - 10*s**2 + 24*s + 2. Let x(c) be the first derivative of j(c). Calculate x(h(i)).\nAnswer: -i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 10 = 2*y, 21*y = -2*t + 22*y + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*n + 686*n**2 + 526*n**2 + 2 - 871*n**2 wrt n?\nAnswer: 682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -194*x - 277*x - 571*x - 13546 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 14. What is the second derivative of n**2 + n + 3*n - 4*n**2 + n**z wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -256 + 360. Suppose f = -3*w + 2*b - 124, -305 = 4*w - 3*b. Let h = w - -133. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sdtssstxxhtdsts. Give prob of picking 1 t, 1 d, and 1 h.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216 and 1600938.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 500*t**5 + 9200*t**4 - 47640*t**3 - 1996064*t**2 - 13820156*t - 28235760 = 0. Calculate t.\nAnswer: -49\/5, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 91 = -2*p, 3*p + t + 212 - 59 = 0. Let b(m) = 2*m**2 - 3*m + 4. Let h be b(-9). Let o = p + h. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of n**7\/42 - n**5\/10 + n**3\/6 - 4*n + 7. Let f(m) be the first derivative of t(m). Factor f(a).\nAnswer: a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -114450870\/443 + 258354. Calculate the common denominator of h and -37\/59.\nAnswer: 26137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85*x**2 + 10 + 87*x**2 + 2*x + 0*x)*(0 + 0 - 2).\nAnswer: -4*x**2 - 4*x - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, p: 3}. What is prob of picking 1 s and 2 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by -5340?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/2 and 19\/954?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 10:26 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a7b642 (base 12) in base 5?\nAnswer: -2420430003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*i = 8, 0 = -v - 4*i + 7 - 0. What is the least common multiple of v and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {u: 2, g: 1, c: 4, f: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*p + 168 = 164*p - 8*d, -2*p - 5*d = 87 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-3)*23517\/73164\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 9, x: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4456*c + 68333 + 119709 = 305591 + 310227 for c.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - 11 - 7 - (-7 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 16282749 + 31577025. Let v = l - 204839865661\/4280. Let n = v - 3\/856. Find the common denominator of 62\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5307 by 5307.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 447 is divided by 218?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 493\/127176?\nAnswer: 493\/127176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 6315*w + 3 - 6282*w - 6302*w - 6314*w + 25249*w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 255*t + 4597. Give v(18).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.072739926 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -778 + 3041\/4. Find the common denominator of m and (-145)\/(-90) - 9\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52 - -86. Suppose 3*d + 3*p - 24 = 18, -d + 5*p - 10 = 0. What is the remainder when o is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(1 - 1 - -1). Let s(l) = l**2 + 2*l + 1. Let x be s(t). Let m(r) = -4 + x*r + r - 2*r. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3470 - -3474. Sort j, 13, -4, 2 in descending order.\nAnswer: 13, j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2b (base 12) to base 3\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3599*s + 374331. What is g(-104)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 5*q + 11. Let n(c) = -4*c - 10. Give 5*h(o) + 6*n(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-915)\/35 + 3)*(-5516)\/2364.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 5*d + 28 = d, 2*d = 5*p + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -168.6 take away 137088.06209?\nAnswer: -137256.66209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4655?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b - 22?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 105.22 + -105. Let d = t - 0.42. Let q = 7\/12 + -5\/4. What is the closest to d in 1\/5, -8, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 389 a factor of 1420701910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -7, -2, -70522 in decreasing order.\nAnswer: 0, -2, -7, -70522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 119 = 3*g - 1, 8*v + 4*g - 188 = 0. Solve 3*k + 4*k = v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 78443 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -945037 divided by -3.\nAnswer: 945037\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/347  (b) -0.3  (c) -0.4  (d) 3  (e) 1\/640\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*q - 265*q = r - 2, -4*q + 4 = r + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9628 and 2822.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -243, -486, -729, -972, -1215?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 3*v. Let m be k(6). Let b(q) = q**3 + 2*q**2 - 7*q + 5. Suppose 42*w + 12 = 39*w. Let o be b(w). Sort 4, o, m.\nAnswer: m, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, 1.3, 0.3 in increasing order.\nAnswer: -55, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(612) - (sqrt(612) + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.06189  (b) 2\/21  (c) 1\/6  (d) 5  (e) -2\/9  (f) 2.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.371508 grams to tonnes.\nAnswer: 0.000005371508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 1:46 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 3 - 16 = -4*l, 3*l = 3*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/(-64)*(-208)\/2886?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/7  (b) -10\/9  (c) 22  (d) -8\/11  (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -10*y**3 - 7*y**2 + 3*y. Suppose -16 = -4*t - f, -4 = t + 3*f + 3. Suppose -5 = 5*a + t. Let h(z) = -3*z**3 - 2*z**2 + z. What is a*l(q) + 7*h(q)?\nAnswer: -q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/7  (b) 0.093  (c) 0.5  (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 171*s - 42. Let d = -290 - -294. Let a be f(d). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + z. Let i(o) = -o**3 + 979*o - 2 + 1 - 5*o**2 - 984*o. Suppose 0 = 2*h + 3*x + 4, -2 = 3*x + 4. Calculate h*i(q) + 5*a(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9\/10 of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 88*w**2 + w + 10. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -36, 18 in ascending order.\nAnswer: -36, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 4*k**2 - 5*k**2)*(38 - k - 22 + 17).\nAnswer: 5*k**3 - 165*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 119968 and 76357024.\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90115193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - -4. Let d = m + -25. Sort d, -5, -4 in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 55*y + 75. Suppose 5*j + 2*s = 5, 0 = 4*s - 7*s - 15. What is the remainder when j is divided by r(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (1 + 0)*-7 + (-70 - -92)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/70*66)\/((-90)\/225)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -8*c + 1. Let g be k(0). Is (11 + -10)*11\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.02, -5, -0.4, 3, -4, 1.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 2)**2 + -5 + (sqrt(2736)*-1)**2*6.\nAnswer: 12*sqrt(19) + 16586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**3 - 2*r**3 - 3*r**3 - 31*r**3.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.21238 + -20.78762. What is the nearest to -1 in z, 5, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 11*r**2 - 17*r - 5. Let x be h(9). Let i = x + -9. Sort i, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3 = -i. Let y = 6 + i. Solve 4*q - 2*o - 16 = 0, -2*q - 5*o - y = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 22 - 8. Let d = h + -8. Suppose 3*n = 2*n - d*o + 77, -3*n + 5*o = -275. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 4 + 11)*(-3*w**3 + 0*w**3 + 5*w**3).\nAnswer: 42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 31\/116 < 4006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/(-42))\/(9\/12). Sort -5, -0.3, y, 5 in descending order.\nAnswer: 5, y, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13868441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2813897*d**3 + 8156699*d**2 wrt d?\nAnswer: 16883382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 277\/2 - 142. Calculate the common denominator of a and 75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 7 = -3. Let b be 18\/(-5 - l) + -1. Let j(v) = -v. What is the units digit of j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - 24*q + 296. Let o be n(9). Which is bigger: o or -22\/27?\nAnswer: -22\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.146198 to 3 decimal places.\nAnswer: -0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {h: 12, y: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 1 - 3. Let n(u) = 3*u. Let m(o) = 9*o + 7. Let s(l) = -4*l - 3. Let k(d) = 3*m(d) + 7*s(d). Give p*n(y) + 6*k(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 2 - 2)*(-2 + 2 - 2*y**2) + 3*y**3 - 5*y**3 + 3*y**3 + y**3 + 0*y**3 + y**3 + (y**2 + 3*y**2 - 3*y**2)*(0*y + 6*y - 5*y) - 9*y**2 + 9*y**2 + 3*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 64, -1, 88, -1\/3, -37\/10, 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-13 + 3))\/(2 + 0\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**2 + 99711*a + 24642036 = 0.\nAnswer: -32988, -249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2 = -p, -150*l = -152*l - 4*p - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4262060 is divided by 12646.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 104 = 3*d + 2, -3*i + 71 = 5*d. Let u = 26 + i. Suppose -5*g = -3*z - u, z = -3*g - z + 28. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2*((-12)\/(-8) - 2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -70*r**2 - 55*r. Let h be 10*1 + 16 + -22. Suppose 15*t = -h - 56. Let k(d) = -5*d**2 - 4*d. Calculate t*g(b) + 55*k(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*h**3 - 298\/3 - 98*h**2 + 198*h.\nAnswer: -2*(h - 1)**2*(h + 149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*z + 2*v, 0*z - 2*v = -5*z + 25. Suppose z*l - 40 = -15. Solve -3*m - m + 2*u + 8 = 0, 10 = -l*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + -20 + 3 + 9 - 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -6*n**3\/13 - 994*n**2\/13 + 2344*n\/13 - 1344\/13 = 0.\nAnswer: -168, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**3 - 52611041*f**2 + 691980382470399*f + 691980435081441 = 0?\nAnswer: -1, 26305521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 125 + -84. Let r = -24 + t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9 - -6)\/(18\/10). Suppose -11 = 2*s + w, -4*w - 21 = s - 5. Let t be 1\/(1*2\/s). What is the nearest to 0 in t, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 + 38. Suppose 7*b = w*b + 10. Suppose 0*p - 159 = -c - b*p, 2*c - 311 = 3*p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 69159*q - 2558877. Determine u(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + 21 + 23 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t - 14*t - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21466 + 21482 + 118*h + 21464 - 64412.\nAnswer: 118*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a + 8. Let k be s(-8). Suppose k = 3*g, 4*v = 6*v + 5*g - 32. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -938 - -955. Calculate the remainder when 167 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/3 and (-6 + 20)*7\/(-46).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4332050 (base 6) to base 4.\nAnswer: 310110132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*n + 0*n + 4*n)*(20 - 20 + 27*n**2) - 5*n**3 + 0 + 0)*(0*n + 2*n - 4*n).\nAnswer: -44*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*n**5 + 4*n**4 + 97769*n**3 - 93*n**2 + 1207*n - 8 wrt n?\nAnswer: 1500*n**2 + 96*n + 586614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -232 in 17, 2\/11, 12\/53, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (14 + 17 - 88)*(0 - 2*f + 0) - 321*f - 1 + 303*f - 1 as w*f + c and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.17, 0, -6 in ascending order.\nAnswer: -6, -1\/3, -0.17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxrjxzxtzxzzxztzzx. What is prob of picking 2 t?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.1826, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 104\/(-572) + (-255)\/(-11). Solve 4*p - z = -7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -4*r + 9. Let z(q) = 8*q - 19. Let s(b) = -5*l(b) - 2*z(b). Calculate s(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -6*c**3 + 6*c**2 + 4*c - 8. Let i(n) = -7*n**3 + 5*n**2 + 3*n - 7. Suppose 0*h = 2*h + 1737 - 1725. Give h*i(f) + 5*d(f).\nAnswer: 12*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-843111)\/(-21) - 80\/560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 139*i**2 + 532*i**2 - 6472*i**2 - 1792*i wrt i.\nAnswer: -11602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q = -10*q - 2. Let w be 1\/(-10) + 5 + q\/20. Let m(v) = v**3 - 6*v**2. Let l be m(6). Sort l, w, -3 in decreasing order.\nAnswer: w, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 6:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) 5\/4  (b) -9944  (c) 2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11431 and -1.\nAnswer: 11430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -13*m. Let d(q) = -2*q**2 - 245*q - 6. Let r(j) = 2*j**2 + 240*j + 9. Let u(z) = -3*d(z) - 2*r(z). Give b(u(c)).\nAnswer: -26*c**2 - 3315*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o - 11. Let m(b) = b**2 - 17*b - 19. Let q be m(19). Let k be c(q). Suppose 13600000 = -6*d + k*d. What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -1\/40*h**5 + 26*h + 35\/24*h**4 - 24*h**3 - 81*h**2 + 3. Factor w(r).\nAnswer: -(r - 18)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 - 2*f**3 - 3*f**3 + 4*f**3 - 2*f**3 - f**3 + (3 - f**3 - 3)*(5 - 5 + 2) + 2*f**3 + f - f + 2*f**2 - 2*f**2 + 2*f**3)*(-7 + 3 + 3)*(-f + 3*f - f).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -3*x**5\/4 + 343*x**4\/4 - 6711*x**3\/4 - 4743*x**2\/4 + 1157*x\/2 = 0?\nAnswer: -1, 0, 1\/3, 26, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3*sqrt(1539) - (0 + sqrt(19)*3))*1.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -3550?\nAnswer: -4\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gmpmppmp. What is prob of sequence pmpg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 746, 746, 744, 740, 734, 726?\n\"Answer: -x**2 + 3*x + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2*-1)\/(2\/(-7)). Let f(g) = 0 + x - g + 6. What is the units digit of f(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k**5 - 8*k**5 + 9*k**5 + (-2*k**2 - 2*k**2 + 6*k**2 + 6)*(7*k**3 - 6*k**3 + 4*k**3).\nAnswer: 16*k**5 + 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -3\/4, -155, -116, -5, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 305*x + 6 - 5 - 318*x - 4.\nAnswer: -13*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -2\/7  (c) -0.4  (d) -0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1104 and 47\/186.\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2249 is divided by 341?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 7*q - 6. Let n be k(5). Let m = -588 - -593. Which is the third smallest value?  (a) n  (b) m  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2117404 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (71*d - 8*d + 33*d)*(-2*d**2 + 5*d**2 - 4*d**2) as m*d**3 + l*d**2 + r*d + i and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 8 + (-7 - (7 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4699 + -4699. Solve j = -q + 2, g = 29*j - 25*j - 5*q + 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 + 44. Suppose -13*d + 31 + 34 = 0. What is the greatest common factor of d and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3*x + 6, 0 = 3*c + 4*x - 6 - 0. What is the second derivative of -2*s - 3*s**2 + 3*s + 0*s**2 + c*s wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14054.\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**3 + 4*w - 5. Suppose 2*f - 1 - 3 = 0. Let o(c) = -c**3 + 5*c**f + 0*c - c + 1 - 4*c**2. Let z(q) = -b(q) - 4*o(q). Calculate z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -113520.93821 to 0 decimal places.\nAnswer: -113521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.2, 3, -18997 in decreasing order.\nAnswer: 3, 1, 0.2, -18997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -536, -537, -538?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r = -r - 2100. Let t = -4 + 5. Let q be (-280)\/r - (t + 1). What is the nearest to -1 in -1\/4, 4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5*(-3 - (-95)\/25). Let j(b) = -8*b**2 - 5*b + 5. Let f(s) = -8*s**2 - 5*s + 4. Let d(h) = q*j(h) - 5*f(h). What is the second derivative of d(z) wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000101 + -1?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 4*t + 5*v = 2, -v + 6 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 12 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.09, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 5*c**2 - 8*c - 9. Let a be x(-6). Solve 0 = a*w - 4*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -853*q + 832*q + 546. Suppose -2*p + 148 = 2*u, 5*u + 4*p - 38 = 330. What is the remainder when u is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -5 + 2 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -6, -0.5, -1\/7 in decreasing order.\nAnswer: -1\/7, -2\/11, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7, 13, 7, -17, -65, -143, -257, -413?\n\"Answer: -l**3 + 13*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 + g + 1. Let q(d) = -d**2 - d - 1. Let i(z) = f(z) + q(z). Let u(h) = -29*h. Give u(i(t)).\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*x = 13 - 16 + 243 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -56\/11*d - 18\/11*d**3 - 16\/11 - 60\/11*d**2.\nAnswer: -2*(d + 2)*(3*d + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, 5, 0 in increasing order.\nAnswer: -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 5*u**2 - 13*u**3 + 2*u - 21*u**3 + 33*u**3 to the form m*u**3 + t*u**2 + g + l*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 659088054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 5*s - 1. Let l be f(5). Let q be (-2)\/(-5) + (-36)\/(-10). Let y be (1 + 0)\/(3 - q). Is y > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1534220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**29*v*v)\/v*v\/v**(2\/11))\/((v**(-18)*v)\/v**32) assuming v is positive.\nAnswer: v**(251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 0 + 0*y - 1\/24*y**4 - 5*y**2 + 0*y**3 + 1\/30*y**5. What is the tens digit of v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**4\/2 + 29*u**3\/4 - 5*u**2\/2.\nAnswer: -u**2*(2*u - 5)*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8 + 6 + 35\/100 and 103\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -48 + 28. Let g(j) be the third derivative of 0*j**z + 0*j + 0 - 2*j**2 - 1\/30*j**5 + 0*j**3. Suppose g(r) = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qypylvtq. What is prob of picking 1 p, 1 t, and 1 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2099135.446 - -107.\nAnswer: -2099028.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3885\/13 + 299. Which is the nearest to -5?  (a) l  (b) -4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5471211 millilitres?\nAnswer: 0.0005471211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**8)**(28\/9)*(c**(-1\/40)\/c)\/c**(1\/14))**18 assuming c is positive.\nAnswer: c**(59957\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6488 and 69746?\nAnswer: 278984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 6 = -4*y, y + 0*b - 9 = -3*b. Solve -i + 2*w = 12, -y*i + 7*i = -w - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -37 + 36 + 0*c**2 - 8*c + c**2. Let a(r) = r**3 + 5*r**2 - 2*r - 2. Let o be a(-5). Let p be z(o). Is p at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -5*k + 7. Let x be (0 + 2\/4)*k. Let g = -11 + 16. Which is the second biggest value?  (a) g  (b) 1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 11*u - 124. Let y be w(15). Is y greater than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011 (base 2) to base 8.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r - 466 = 1088. Suppose -185 = 5*j + 10. Let p = r + j. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - -16 - -10 - 33 - -6 - (-1 + -2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3862888 is divided by 855?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 21*-0.097\nAnswer: -2.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 11312*n**3 + n + 179*n**2 - 11313*n**3 - 214*n**2 + 3544*n**2 in the form q*n**2 + a + m*n**3 + i*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(-2))\/((-30)\/(-8)). Which is the nearest to u?  (a) -5  (b) 3\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, h: 8, j: 8}. What is prob of picking 3 h and 1 j?\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 3*c = 37, -6 = -2*u - c - 21 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 1:17 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.937 - -0.063. Let y(u) = -u**3 + 6*u**2 + u - 6. Let p be y(6). Sort p, -13, 2\/7, t in ascending order.\nAnswer: -13, p, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**2 + b**2 - b**2 + (4*b + b - 2*b)*(-3*b + 0*b + b) + 10*b**2 + 19*b - 19*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - 24. Suppose o*t - 3009 = 4*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3636 is divided by (-300)\/(-15) + (-2090)\/(-19)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10674*x**2 + 29268*x wrt x?\nAnswer: -21348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 + 11*k + 8. Calculate x(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25\/47?  (a) -5  (b) 2  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/528 and -35\/83901?\nAnswer: 14766576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -16.226 * 0.3\nAnswer: -4.8678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p. Determine t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 713988747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 62.6 + -63. Which is the second smallest value?  (a) 0.01  (b) f  (c) -0.5  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36051 + 55?\nAnswer: -35774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1046440, -2092886, -3139332, -4185778, -5232224, -6278670?\nAnswer: -7325116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Round 207810000 to the nearest one million.\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 340584 and 11?\nAnswer: 3746424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1993601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -56*r**3 - 16\/5 - 112\/5*r - 20*r**4 - 276\/5*r**2.\nAnswer: -4*(r + 1)**2*(5*r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(1\/12)\/j))\/j**(1\/6))\/(j**0)**(-48) assuming j is positive.\nAnswer: j**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1602 and 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -59.1 and -100?\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 + 0\/2)\/((-506)\/(-23) + 376\/(-16)).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 663.4336g?\nAnswer: 663433600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 7:03 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**5\/7 + 24*l**4\/7 - 92*l**3\/7 + 120*l**2\/7 - 50*l\/7.\nAnswer: -2*l*(l - 5)**2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 632 - -40204?\nAnswer: 41036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3\/4  (b) 11\/5  (c) 2\/13  (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**3*w*y - 275*r**3*y**3 + 8*r**2*w**2*y**2 - 2*r*y**3 - 7*w**3*y**3 + 6*w**3*y**2 wrt y.\nAnswer: -1650*r**3 - 12*r - 42*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195 + 47415*m + 193 - 388.\nAnswer: 47415*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 239 + -244. Let t = 74\/85 + -8\/17. Which is the smallest value?  (a) 0  (b) t  (c) 4  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 159715 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 3*a - 13*a)*(12*a + 4*a**2 - 12*a)*(-37*a + 60*a + 2 - 1).\nAnswer: -1748*a**4 - 76*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) -3  (c) -4.6  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/10*-2 - (-146146)\/910 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -178 - 35?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36\/7*k - 12\/7 + 3*k**2.\nAnswer: 3*(k - 2)*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -155, -425, -829?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f. Let t(q) = -165*q**2. Calculate c(t(z)).\nAnswer: -165*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 5:15 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o + 5. Let f be 9\/4*(-8)\/(-6). Let r(a) = -6 + 1 + 1 + f. Let w(p) = -d(p) - 5*r(p). Let y(v) = v**2. Calculate w(y(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - q**2 + 2*q - 4. Let k be u(-3). Suppose -k = 4*a - 48. Factor -196*v**4 - a*v**3 + 194*v**4 + 2*v**3 - 8*v**2.\nAnswer: -2*v**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ou when two letters picked without replacement from unnnnuznocnoico?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + (1 - (-3 - -1)). Let z be (0 + 0)*v\/(-2). Solve z + 2\/3*a + 2\/3*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2924)\/(-44) + 12\/22. What is the greatest common factor of 8 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -470595, -941148, -1411701, -1882254?\n\"Answer: -470553*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - w + 13. Let y = -4 + 4. What are the prime factors of r(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ueueuuuu. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/108 and -74\/175245.\nAnswer: 6308820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 1. Let x be r(4). Let f = -13 - -8. Which is the biggest value?  (a) f  (b) x  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d - 5*l - 53, -4*d - 4*l + 25 = -5*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -172, -199, -228, -259, -292, -327?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002107355456 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 14317*y - 146. Let o(n) = -2620013*n + 26791. Let b(h) = 2*o(h) + 367*x(h). Let z(i) = i**2. What is z(b(l))?\nAnswer: 204861969*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**7\/5 + 37*l**4\/24 - l**3\/6 - 2*l**2 - 2. Find the second derivative of u(c) wrt c.\nAnswer: -504*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10895413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 25 = 2*o, 5*o + 27 + 1 = -b. Let h = -119 + 107. Let s be (-50)\/20*1*h\/10. Sort o, 2, s.\nAnswer: o, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.32 take away -2457.78?\nAnswer: 2458.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 1. Let p(w) = w**2 - 6*w - 2. Let b be p(6). Let c(j) = 3*j - 3. Let h(o) = -7*o + 7. Let g(v) = b*h(v) - 5*c(v). Determine -g(y) + 4*t(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 4*c - 8, 0 = -5*g - 2*c + 3 + 13. Suppose o = -5*b + 1 + 9, -3*b = 2*o + 1. Suppose 4*s = -6*k + 2*k + 1212, -g*k = b*s - 1214. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*t + 16, 2 - 1 = t + 2*f. Suppose 0 = 2*n + 2, -t*n = 3*a - 1 + 3. Solve -k - a = -4*p + 3*p, 0 = -3*k + p - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -0*f - 5. Suppose 200 + 104 = p - 3*m, f*m - 870 = -3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 20418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39\/2108 + 1015\/2108. Determine g so that 3\/2*g**4 + 0*g + 1\/2*g**3 + 0 - 3\/2*g**2 - s*g**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqcqccmqcq. Give prob of picking 1 m, 2 c, and 1 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.53 + -0.45. Which is the biggest value?  (a) -3  (b) u  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -273*c**2 - 3*c + 98 wrt c.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 905436.5ml in litres?\nAnswer: 905.4365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) - 3*sqrt(1323))\/((3*sqrt(9) - sqrt(9))*-5).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3542*q**5 - 2374*q**2 + 2*q wrt q.\nAnswer: 212520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002423 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 9:39 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of 23 + 0*q**2 + 0*q + 0*q**6 + 17\/7*q**7 + 0*q**4 + 16\/3*q**3 + 0*q**5. Find the third derivative of d(i) wrt i.\nAnswer: 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i. Let m be v(-3). Suppose -3*t = 3*u - 291, 2*u - 2*t = 230 - 36. Suppose -5*q + 107 = u. Solve -q*h - h - m = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -91?  (a) -0.4  (b) -0.3  (c) -3.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 1120?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 9*t. Let f(k) be the first derivative of -18 + 0*k**2 + 1\/3*k**3 + 0*k. What is f(q(j))?\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -13*w + 222. Determine t(-7).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 41\/(-28) - ((-2440)\/1098 + 253\/126)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 41. Let j(t) = -1 + 3 + 4 - 1 - 15*t. Let k be j(-5). What is the highest common divisor of l and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w - 4. Let u be b(-5). Let d = -13 - u. Let q = d - -6. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181.77688 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 217*b**2 - 28*b + 1?\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 4*i**2 - 3*i - 5. Let f be (-52)\/14 + 6\/(-21). Is 3 a factor of c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33083\/3528 + 1\/441. Let q = u + 125\/24. Find the common denominator of 44\/57 and q.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 14) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5*sqrt(171) + -1)**2*6.\nAnswer: -128280 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 961213617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.772375 meters?\nAnswer: 0.000772375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*n + 398 = 0, 17*z + 841 = 21*z - 5*n. Solve 198*t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2091 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 7*o - 32 = -4*u, -2*o = 4*u - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8182 is divided by 129?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 246 and -33?\nAnswer: -8118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.711 + -1.7. Let c = -0.00758 + h. What is c rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25622370 and 595080?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26616 is divided by 13287?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 209062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 1)*(-14*v**2 - 30*v + 30*v) + 2*v**2 - 3*v**2 - v**2)*(27*v - 25*v - 18*v).\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160, -317, -474, -631, -788?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 5*c = 0, 4*x = -4*c + 528. Calculate the highest common divisor of x and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-58)\/6 + 7 + 3)\/(5\/(-60)). Let r(f) = f**3 + 6*f**2 + f + 4. Determine r(o).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 - 9 - 3*x**2 + 12 - 13 - 5.\nAnswer: -3*x**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 96\/14 + 1\/7. Let d(u) = 5*u - 10. Does 4 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 187090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.5 - -0.5. Let z = -10 - g. Suppose -2*b + 2 = 2*u + 3*b, -5*u + 5 = b. Put z, 1\/8, u in decreasing order.\nAnswer: u, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.26 and -16750.5584?\nAnswer: 16750.8184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1910 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 + 11*s**2. Let g(f) = -2*f**3 - 10*f**2. What is -2*g(w) - 3*l(w)?\nAnswer: -2*w**3 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 9:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from waffdxdl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**4\/4 - 2*z**3 - 3*z**2\/2 + 6*z + 1. Let r be f(-5). Let c be (-6)\/r*(-8)\/(-12). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (9 + -12) - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 (base 4) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/8*-4*2. Suppose q*f - 6 = f. Solve x + f*x + 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 54, -2, 5, -11 in increasing order.\nAnswer: -11, -2, 5, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -283.5 - -285.734. Sort 2\/9, -0.1, i in descending order.\nAnswer: i, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 2 = -3*m + m, -4 = -2*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -75*j - 48. Let q be h(-3). Suppose 0 = q*b - 182*b. Suppose 0 + b*r - 2\/11*r**3 - 2\/11*r**4 + 0*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r. Let i be w(-2). Suppose -10*c = -c + 90. Let t(j) = -2*j**2 - 20*j - 1. Let g be t(c). Is g less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -3*o**2 - 3*o + 2. Let w be z(-6). Let c = 1148 - w. Suppose 6*m = 2*m + c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 934751525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1393, 1389, 1383, 1375?\n\"Answer: -r**2 - r + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 + -26.1. Let h = 0.09 + -0.11. Let r = -0.12 - h. Which is the nearest to s?  (a) r  (b) -0.3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from oooooqoqooqooaoqq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -27173*l - 34*l**2 + 6 + 27173*l - 5*l**2 in the form m*l + n + s*l**2 and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 + 5*d - 3. Let y be a(-2). Let s be (-606)\/y*(-40 + 2540). What is s rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2793 and 182617113.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -604.586*11.2.\nAnswer: -6771.3632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 55*j + 25. Let t(a) = 18*a + 9. Calculate -17*t(v) + 6*z(v).\nAnswer: 24*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5037238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 210 - 139. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -396, -791, -1186?\n\"Answer: -395*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (4 - 8)) + 11 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11568 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, -3, 1 in decreasing order.\nAnswer: 1, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g + 5*g + 27 = 3*c, g - 29 = 34*c - 150 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63194, -2, -5 in increasing order.\nAnswer: -5, -2, 63194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3671335.\nAnswer: 5, 734267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2. Let y(p) = -23*p**2 + 5. Let l(n) = -35*n**2 + 8. Suppose -24 - 6 = 6*m. Let d(r) = m*l(r) + 8*y(r). Calculate s(d(i)).\nAnswer: 162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -883.00000331 + 883. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.95 - -0.05. Let r = 0.1 - 0.2. Let g = -1.04 - -0.04. What is the closest to r in g, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6312\/60)\/(2\/5). Let o = i + -258. Solve 4*r - o*u + 8 = -0*u, r - u + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 4 - 1) + 15 + 17657 + -17575.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 287228311 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1867, -1868, -1871, -1876, -1883, -1892, -1903?\n\"Answer: -n**2 + 2*n - 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6152274, 12304547, 18456820?\nAnswer: 24609093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/6*-1078*(-24)\/(-16). Let b = 1477 - p. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8354\/42 + 39\/(7371\/18). Solve 0 = 197*h - o*h - 16 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n - 3. Let a(j) be the second derivative of -j**3\/2 + 7*j**2\/2 + 5*j. Let u be (-3)\/(4\/(-6)*117\/104). Suppose 11 = -u*g - 9. What is g*f(h) - 2*a(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -l**4\/4 + 3*l**2\/2 + 62*l. Determine c(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1126.8 + -1125.8. Which is the fifth smallest value?  (a) 2  (b) r  (c) -5  (d) -0.2  (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3 + -4 + -5 + (-5*(-1 + -4 + sqrt(468) + sqrt(468)))**2).\nAnswer: -15000*sqrt(13) + 237095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -0*n - 57. Suppose 0 = -3*z - 2*o + n, -4*o - 11 = -3*z - 2*o. Suppose 44*h - 281 = -105. What is the least common multiple of z and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - 2)*56\/20. Let k = -4 - u. Calculate the remainder when 38 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 8) + -10 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + 13. Let h be c\/15 + 0 + (-3)\/(-15). Let -2*k**2 - 14 - 20*k + 0*k**2 - 1 - h*k**2 = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 20\/351?\nAnswer: 20\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -128*a + 1868 + 180. Let x = 8 - 11. Calculate the remainder when (x - 3)*(-62)\/6 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8225*c - 2 + 16807*c - 8431*c.\nAnswer: 151*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 9*m + 128. Let p be l(-14). Sort p, -4, -3, -6, 5.\nAnswer: -6, -4, -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12979291 to the power of 1\/2, to the nearest integer?\nAnswer: 3603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -97 - -52. What are the prime factors of (c\/(-6) - 2)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 6*o. Let u be 16\/20*(17\/2 + -1). Let f be n(u). Let t be 2\/(-24)*32\/(-6). What is the third biggest value in f, 2\/19, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-7))\/((-20)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 286 + -344. Let p = 57.8 + t. Which is the third biggest value?  (a) 0  (b) p  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/875*30\/(-6)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (35112\/98)\/19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**21\/m)\/m*m*m)**50*(m*(m*m**20*m)\/m)**(-1\/25) assuming m is positive.\nAnswer: m**(26228\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -867*g. Let f(a) = -203 - 4*a + 538 - 335. What is t(f(k))?\nAnswer: 3468*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -411, -834, -1257, -1680, -2103, -2526?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417597720 a multiple of 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -3, 4, 1, 0.053, -98?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*u + 6*u + u + 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, 1825, -4, 1\/9, -1, -0.046, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - u + u)*(-u**2 + u**2 - u**2) - 2*u**2 + 2*u**3 + 2*u - 2*u.\nAnswer: 5*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 3*a - 17 - 15, -2*a + 4 = -x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*s**2 - 83*s**2 - 96*s**2 - 89*s**2 + 369*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13340 divided by 1939?\nAnswer: 13340\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203521 is divided by 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7573064610 to the power of 1\/5, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 13127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 7*o - 20 = 0. Suppose -2*j = o*l - 34, 3*j - l = -0*l + 23. What is the highest common divisor of 72 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from srhvghvlg. What is prob of picking 1 l, 1 s, and 1 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 54 or 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2321752, 4643321, 6964890, 9286459, 11608028, 13929597?\n\"Answer: 2321569*c + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5700229492 to the power of 1\/2, to the nearest integer?\nAnswer: 75500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8741579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1490*i*m**2*s**3 + 125*i*m**2 - i*m*s**3 - 10589*i*s - 168*m*s wrt m?\nAnswer: -2980*i*s**3 + 250*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 116388511*n**6 - 3858963*n**2 wrt n.\nAnswer: 13966621320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 887 (base 11) in base 16?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -633 in decreasing order.\nAnswer: 2, -5, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3*r = 1, -2*r + 1 = -3*h + 3. Suppose -f = -4, -3*i = -5*f + 18 - h. Let m be -4*(-1)\/i*5. Solve 0 = -x + 3*z + 6, -m = -x + 4*x + 5*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**3 + 132*v**2 - 134*v + 36. Suppose -2*u = -4*q + 172, 3*q + 5*u = 2*u + 138. Calculate the lowest common multiple of q and h(-67).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/6*(-30)\/(-9). Let d(m) = m**3 + 4*m**2 + 1. Let r(z) = -z**2. Give q*r(s) + d(s).\nAnswer: s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 + -341 - (6 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/1650 and 199\/660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 661 + -354. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 474?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqwvq. What is prob of sequence wq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -6864.\nAnswer: -1\/6864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -92 + 101. Suppose 0 = t + 4*n + 9, 0*t - 3*n - 1 = -5*t. Calculate the remainder when (-32 - (-12)\/(-4))\/t is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 95 - 15 = 5*y, 5*n = 2*y + 92. Suppose n = 3*l + 5, -g - l + 14 = 0. What is the remainder when 35 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19777 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -54*p + 29. List the prime factors of j(-12).\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 8:40 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -4*x - 15 + 25*x - 20*x. What is r(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, c: 6, t: 2, v: 1}. Give prob of picking 1 v and 1 u.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1680.501 weeks in seconds?\nAnswer: 1016367004.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 198297, 198185, 198071, 197955, 197837?\nAnswer: 197717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 - 152*u + 1742. Determine t(132).\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (0 + (13 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lj when two letters picked without replacement from ijssliiij?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -h - 62, -4*d + 2*d - 4*h + 38 = 0. Let m(w) = w**3 + w**2 + 1. Let x be m(2). What is the highest common divisor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -34?  (a) 160  (b) -1\/3  (c) 210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 3*v - 2*n + 5*n + n, -54 = 5*n - 29 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18*(-24)\/(-540))\/(((-66)\/45)\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10002609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*l - 21 - 33 = 319*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2325 + -2237.59. Let o = v + -87. Let r = o + -0.01. Put -2\/15, 1, r in increasing order.\nAnswer: -2\/15, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (50 - (-85521)\/(-1595)) + 4\/(-22)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -101349 and 0.1.\nAnswer: -101348.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 18508.67928 microseconds in weeks?\nAnswer: 0.000000030602975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02 - -0.28. What is the closest to 2\/7 in l, 6, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*z - 3*x - 83 = 0, 3*z + 137 = -2*x. Let t = 72 + z. Suppose 0 = 4*f - t - 13. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (38\/(-3))\/((-4)\/(-522)). Let a = -15872\/11 - -1438. What is the common denominator of d\/(-493)*(1\/(-3))\/(-1) and a?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237115877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 5  (b) -1  (c) -0.2  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 10014 - 1074 = 0. Suppose -324*s = -317*s - m. Is 66 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 853353437748\nAnswer: 853353437745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(((-14)\/3)\/7). Suppose -r + 2*r + u = 0. Let m be ((-39)\/15 - r)*15. Solve 3*l + 0 + m = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*w - 101*w**2 - 23*w**2 + 5*w)*(13*w + 7*w + w)*(1 + 2 - 4) as h*w + x*w**3 + y + t*w**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -2  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/(-4))\/(6\/8). Suppose -5*g = -g. Suppose g*y - 2*y = -4. What is the greatest common divisor of i and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -134\/495 + 4\/45. Suppose 0 = 4*o - f, 6*f + 6*f = 16*f. Let x = -2095\/9 + 233. Which is the biggest value?  (a) o  (b) x  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 33, 1641, 6031, 14595, 28725, 49813, 79251?\n\"Answer: 232*w**3 - w**2 - 13*w - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -881178840 divided by -3340?\nAnswer: 263826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1 + 35 = 4*b, f = b + 14. Let x = 23 - f. Suppose x*l + 31 = 1. Let y(t) = -2*t - 6. Calculate y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15823*f + 15835*f + 240 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 946 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -423520 rounded to the nearest 1000?\nAnswer: -424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - 5*(-10)\/(-25). Put -0.03, x, -2 in decreasing order.\nAnswer: -0.03, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 5*o**2 + 245*o - 304. What is v(-50)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2041*w + 830689. What is m(407)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 137 divide 231256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((14\/(-175))\/((-1)\/30))\/((-10)\/(-25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 4*p + 0*p)*(-2 + 2 - 2*p) + 2*p**2 + 4*p**2 - 3*p**2 + 5*p - 5*p + 2*p**2 + (-1 + p + 1)*(2*p - 2*p + p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 1. Let t(q) = q**3 + q**2 - 6*q - 3. Let o(k) = -3*l(k) + t(k). Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 5:07 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/14*(2 + 1). Let i = 15 - -20. Let r = i + -34.8. Is r less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 832.0213kg to nanograms.\nAnswer: 832021300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, n: 4, z: 10, d: 2}. Give prob of sequence nzz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5.7?  (a) 2\/3  (b) 0.5  (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 16*k + 932 = 0. Let q = k + 61. Let y = q - -287. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -36*l - 15. Let y(m) = 5*m + 2. Let z(h) = -2*v(h) - 15*y(h). Let f(g) = -4*g**2. What is f(z(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p. Let t be b(1). Suppose 5*v - 28 - 2 = 0. Suppose v*x + 9 = 39. Put 2, t, x in decreasing order.\nAnswer: x, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express v + 0*v - 3*v**2 - v**4 + 6*v**2 - 8*v**2 in the form r*v**2 + b*v**3 + g + l*v + w*v**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -17. Suppose -99 = -g + 4*g. Let s be 1\/(-4) + g\/(-4). What is the greatest common factor of d and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -194*s**2 + 14*s - 14. Let t(m) = 39*m**2 - 3*m + 3. Calculate 3*c(d) + 14*t(d).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -15\/11, 0.3 in ascending order.\nAnswer: -15\/11, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165\/203 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -169119385 by 151405.\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rfrrrrrrrrrlfooorrr. Give prob of sequence olor.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 2)*(75*s**2 - 160*s**2 + s**3 - 2*s + 65*s**2) in the form c + b*s**3 + u*s**2 + l*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p = 2*p - 2*f + 12, 2*f - 2 = p. Suppose -4*k - 5*n + 14 = 0, 0 = -2*n + 6*n - 8. Suppose p*h + 7 = k. Is -3 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78130276 is divided by 85?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*y**4 - 4*y**3 - 51*y + y**3 - 11*y**3 - y**3 wrt y?\nAnswer: 60*y**2 - 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 - 18 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 5*w**2 - 9*w - 13. Let y be r(-6). Let b(i) = i**3 - 12 - 10*i**2 - 13 - 2*i - y*i**2. Is b(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s + 143 = 31*s - 4*a, 0 = 2*a + 6. What is s rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -28  (b) 13  (c) 2302  (d) 5  (e) 0  (f) -5  (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7 - -3)\/((-1)\/3). Suppose 9*o - h - 14 = 4*o, k = 3*o + 3*h. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/33)\/(1456\/2288))\/((-26)\/(-13)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*z - y, 2*y - 4*y = 4*z + 8. Let j be z*2\/68 - (-174)\/34. Solve j*x - 21 = -4*k, 0 = 2*k - 2*x + 1 + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321*z - 2*i + 20 + 3 = -320*z, z + 50*i = 455 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0027601759 to five dps.\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94 - 20891*d + 2*d**2 - 94 + 20891*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(60\/(-9))*(-32)\/(-40).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 151.583 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -20*q**2. Let u(r) = -r**2 + 139. Determine u(l(y)).\nAnswer: -400*y**4 + 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1078547*v - 1692 = -1078641*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 23 - 4 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -10 - 14. Is (-1113 - v)*(-3 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1527204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 130100 or 129800?\nAnswer: 129800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-341*y**2 + 340*y**2 - 44 - 23)*(4*y**3 + 0*y**3 + 2*y**3).\nAnswer: -6*y**5 - 402*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*q**3 - 30*q**3 + 38*q**3)*((1 + 4 - 3)*(0 - 1 + 2) + 3 + 1 - 5 + 6 - 7 + 5).\nAnswer: 280*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 5*q + 20, -2*q = -3*j + 3*q - 20. Solve -5*o + 10*o + 5 = j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 4*f + 22. Let i = f + 11. What is c in -2\/5*c**4 + i + 2\/5*c + 6\/5*c**3 - 6\/5*c**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2 - 2)*(-b - 2*b + 2*b) + b - 3 + 3)*(-2*b - 2 + 2)*(5 - 3 - 4).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*a + 29*a + 22*a - 94*a)*(1218 - 674 - 760).\nAnswer: 4320*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/15 + 17\/105. Which is the second biggest value?  (a) 0.1  (b) 2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95)\/(-57)*1\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1 - ((-10)\/(-105) + 211440\/(-126)) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/7 and 41\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -17*w - 15. Let r be v(-1). Let n(q) = -4*q**2 + 0*q**r + q**2 + q**2. Let b(o) = -17*o**2. Give n(b(g)).\nAnswer: -578*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 6*o + o)*(-7 + 1 - 5) + 17*o + 4 - 1 - 4.\nAnswer: 28*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(42\/93) + 12\/21. Suppose 0 = 2*l + 2*p, l - 3*p = -k + 1. Put -21, -5, l, 1 in increasing order.\nAnswer: -21, -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 4, 96, 190, 2.\nAnswer: 0, 1, 2, 4, 96, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 32305432 + 11?\nAnswer: 32305443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 0. What is the remainder when 7\/(7\/44) - -1 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence neo when three letters picked without replacement from eonnenoonjnh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*h = 4*l - 66, -3*l = -3*h - 81. Suppose -2*f + l - 85 = 0. Let j be (-6)\/4*f\/(-42). Which is the second biggest value?  (a) j  (b) -0.02  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -88.024 + 142.52. Round a to zero decimal places.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k + 1. Let w(d) = 8*d + 2. Determine 5*v(y) - 3*w(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -5437*l + 2721*l + 12 + 2712*l. What is s(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 4*p**4 + 426*p**3 - 18208*p**2 + 126450*p = 0.\nAnswer: -281\/2, 0, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = 35*r + 7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*j + 2248*j**2 + 469*j**2 + 1921*j**2 - 13*j.\nAnswer: 4638*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -42848*w**2 - 169*w - 64571. Let u(h) = 765*h**2 + 3*h + 1153. Let o(t) = -6*f(t) - 338*u(t). Find the first derivative of o(p) wrt p.\nAnswer: -2964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/78*-10)\/(5\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -2 - 3\/2*p**2 + 0*p + 0*p**3 - 1\/2*p**4. Find the second derivative of a(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*q - 44*q + 6*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 1. Suppose 0 = -5*o + 5, 0 = 3*u - 4*o + 52 - 6. Is 14 a factor of x\/u - (-384)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -2*b, v + 83*b + 4 = 85*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 86, 230, 490, 902, 1502, 2326, 3410?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/10 + (-3)\/(-6))*(-18 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 5:16 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 3*o + 2. Let p be b(3). Let d be 16\/48*42\/p. Solve 5*h = -2*m + 16, -m + 0*m + d = 2*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 6*d + 9. Let c(q) = -q**3 + 6*q + 3. Let p be c(3). What is n(p)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.4  (b) -3  (c) 34  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24469.8 + -24339. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25082.\nAnswer: 2, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5469364, 10938727, 16408090?\nAnswer: 21877453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.56 + -0.36. Which is smaller: 2\/95 or k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10080\/(-4704))\/((-10)\/126).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3  (b) 87\/5  (c) 4709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4931101 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from znzvvqvzknqqzvntqn. What is prob of picking 2 z and 1 t?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2541948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7\/2 + 0)\/(1\/12). Suppose q = 3*d + 3*g, -5*g = -2*g + 6. Solve 0 = 3*z, 0*z = -4*b - 5*z + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 28 - 432 = 0. Suppose 2*s + 25 = k, 5*k + 3*s - 93 = 2*k. Calculate the remainder when m is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/140*4*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w + 0*w + 5*w)*(w + 3*w**2 - w) as z*w**2 + d + t*w + s*w**3 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 1.01\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 c, and 1 j when four letters picked without replacement from {j: 5, c: 8, e: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 10473.2649 milliseconds?\nAnswer: 0.00001731690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 7*s**2 - 20*s - 7. Let p be d(-9). Suppose p*l = l + 140. Calculate the highest common divisor of 98 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 3*i**7\/560 + i**6\/720 + i**5\/30 - i**3\/6 - 162*i**2. Let n(v) be the third derivative of x(v). Let m(f) = 2*f. Give n(m(p)).\nAnswer: 54*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.423 + -2.923. Let m(o) = o**3 + 5*o**2 - 2*o - 7. Let t be m(-5). Let a be (-2)\/t + (-3)\/(-9). Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26135 (base 7) in base 6?\nAnswer: -52035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(2\/(-66)*27)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 2\/5, 0.3, -4, -0.06, 18\/125?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-21 + (-84)\/(-48)*-4).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 4:39 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 798766007 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -966, -968, -970, -972, -974, -976?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2535884 decades to months.\nAnswer: 30.430608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 2, y: 6, e: 2, m: 1, k: 8, v: 1}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**5\/3 - 30*h**4 - 58*h**3 + 21866*h**2\/3.\nAnswer: -2*h**2*(h - 13)*(h + 29)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -95, -80, -51, -2, 73, 180?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 43*q**2 - 1085*q - 859. What is z(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-52))\/((-2)\/((-440)\/10))*13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -738?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-12)\/(-21))*-2*(-4)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of d**6\/96 + 361*d**5\/80 - 217*d**4\/48 + 10015*d**2. Factor o(v).\nAnswer: v*(v + 217)*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 28. Suppose -9*d + 6*d = 0. Does 14 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 0. Suppose d*c = 3*c + 19. Calculate the highest common divisor of c and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -13*c + 30. Let a be n(3). Which is bigger: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-7 + 3 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -24483, 3 in increasing order.\nAnswer: -24483, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54*o - 57 - 1975 - 127 - 194*o**2 - 22*o - 33*o wrt o?\nAnswer: -388*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2 = 0, -2*k - 20539 = -4*q + 12219. What is q rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100272, -100271, -100270?\nAnswer: -100269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 + 29. Let k = 12 - n. Let m = -0.97 - k. Round m to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05138*-66107\nAnswer: 3396.57766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-18) + 106\/(-9). Let q be -2 - (x\/14 + -1). Let h = -75985 + 75991. Which is the second smallest value?  (a) q  (b) h  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 10:00 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/10 and 29\/188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/((-3010)\/774)*(-11)\/(-3)*1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 195\/(-13)*(-2)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/2 - (-861)\/42. List the prime factors of (-6)\/(n\/15) - -408.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - 22. Let n = 37.999979 + z. Round n to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 171 + 583 = 2*a, -a + 198 = 4*o. Suppose -5*j + 66 = -a. What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 2*i + 4, u - 1 = -4*i + 1. Let y(w) = 2*w**2 - w - 4. Let j be y(u). Let p(m) = 3*m - 2. Let d be p(j). Solve d*k + 6 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2779*o + 435027 = 9924*o + 85*o - 651953 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -4.05. Let g = 2.15 - 2. Let u = g - k. What is u rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 - 119. Suppose -r + 0*b - 218 = 3*b, 0 = -4*r - b - 850. Let f = p - r. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.011336mg to micrograms.\nAnswer: 8011.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -11*z**2. Let u(h) = -793*h + 243. Let n(o) = -398*o + 135. Let m(t) = -9*n(t) + 5*u(t). What is c(m(p))?\nAnswer: -1613579*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4*f - 5*f + 0*f)*(-5*f + f + f) + 2 - 2 - 2*f**2)*(-2 + 1 - 1)*(-1 - 2*f + 1) to the form s*f**2 + v*f + u + b*f**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1085 is divided by 346.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (2744\/(-12) + 4)\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -895.8 + 765.8. Is -28\/3 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 47. Solve b = -5*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41*l**2 + 38*l - 8?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -192*m**3*q*y**2 + 3*m**3*q*y - 49*m**3*y**3 + 3*m**2*q + 20*m*q*y**3 wrt y?\nAnswer: -294*m**3 + 120*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 2*k + 5. Let a(l) = 2*l**2 + l - 2. Let o be a(-2). Let b be n(o). Let q(t) = -t**3 - 4*t**2 - 2*t. Give q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 16*s - 9)*(1 + 0 + 0).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 16*l = 4. Suppose 0 = -4*b - 8, l*o = 3*b - 0*b + 2180. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190033893 is divided by 292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 325354 (base 6) to base 9\nAnswer: 41207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/280)\/(6\/(120\/1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -365 - 95*t + 73*t + 545 + 1011 + 432. Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -14*z - 8. Let v be s(-1). Solve -r - 2 = 3*q, 4*r - 5*q = -3*q + v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -259 - -273. Is m less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 4:42 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 27\/(-3)*-1 - 1. Suppose -k - 3*k = -a. Suppose 3*q - 39 = -4*g, k*g - 2*q - 43 = -3*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 143*r - 54*r + 16*r**3 + r**2 - 18*r**3 - 2*r**4 + 195*r to the form n*r**4 + v*r**3 + l + d*r + h*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*f + 116*f**3 + 52*f**3 - 10*f + f**2 - 58*f**3 + 3 + 26*f**3 to p*f**2 + r*f + k + j*f**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 115 - 115. Let w = m - 2. Let p = 21 - 15. Is w <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12684 - 12663. Is i at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 636 - 1191 = 14*a - 625 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021685 times -21.6?\nAnswer: 0.468396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -1\/840*h**8 + 0*h**4 + 0*h + 0*h**5 - 1\/150*h**6 + 0*h**3 + 0 - 1\/175*h**7 + 24*h**2. Factor x(j).\nAnswer: -2*j**3*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1149.36937 rounded to one dp?\nAnswer: 1149.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -1. Let d(z) = 4. Let x(f) = d(f) + 3*l(f). Let p(t) = t - 1. Calculate p(g) + 2*x(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-172)\/4)\/(3\/(-16860)). Let n = j + -168660. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p - 2. Let m = -3 - -6. Let d be t(m). List the prime factors of 166\/18 + d\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 + -25. Let p(r) be the third derivative of 0 + 0*r + 0*r**3 - 1\/30*r**5 - 1\/60*r**c + 2*r**2 + 0*r**4. What is the third derivative of p(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -323*g**3 - 43*g + 229*g**3 + 21*g in the form d*g + k*g**3 + j*g**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96193649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*t**3 + 3*t**2 + 40*t wrt t.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -6*r - 5. Let a be 11\/((-726)\/(-120)) + 4\/22. Let i(w) = 5*w + 4. Give a*k(m) + 3*i(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 21 = -79. Let r = 227 + -273. Let h = r - g. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {y: 1, e: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (1 - 1 - (0 + 27 - 7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -3 + (-1 - (-5 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 1\/7, 6\/19, 19\/307?\nAnswer: 19\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1. Let l = -29 + 24. Which is the nearest to 0?  (a) l  (b) 0.3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*p**2 + 12 - 12 - 248*p**2 as v*p + z + g*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**4 - z**3 + z**2 - z + 1. Let b(n) = -1026*n**4 - 4*n**3 + 4*n**2 - 4*n + 706. Let g(m) = -b(m) + 4*o(m). Differentiate g(y) wrt y.\nAnswer: 4136*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/7, 314, 1, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 7*w**4 + 9*w**3 + 2*w**2 + 4*w + 4. Let u(z) = -2*z**4 - 2*z**3 - z - 1. Let i(x) = j(x) + 4*u(x). Factor i(t).\nAnswer: -t**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -85, -138, -149, -100, 27, 250, 587, 1056?\n\"Answer: 3*h**3 + 3*h**2 - 83*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 50)*(-1 + 0). Let m = -30 + p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 4:15 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.1 - 1.1. Let s = -375 - -2627\/7. What is the third smallest value in 5, -0.4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h**3 - 2*h**2. Let l be q(3). Let w = 7 + l. Calculate the remainder when w is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-1))\/((-15)\/70*(-140)\/180)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -533 + 1539 - 18*k - 466 - 540.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c09 - 45b?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -13*h**2\/2 + 19*h + 4. Let l be q(-9). Suppose -s = 3*s - r - l, 0 = -4*r. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83 - -124. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -378, 90, 15, 1 in decreasing order.\nAnswer: 90, 15, 1, 0, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -187 divided by 5\nAnswer: -187\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(-7 - 2 + 16*w**3 - 14*w**3)*(2*w - 5*w + 4*w).\nAnswer: -4*w**4 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 99 - 33. Suppose -5*u = -4*u + 7. Let q be (21\/u)\/((-3)\/11). Calculate the highest common divisor of y and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 120?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -302 (base 7) to base 10\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, -62, -117, -152?\n\"Answer: 10*d**2 - 105*d + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyueyyeeuoyunnnynn. What is prob of picking 1 o and 1 y?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -10212232 (base 4) to base 5\nAnswer: -1100422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7\/988 - 22597\/494. Let l = c - -46. Do 0 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2*(-5 + sqrt(1216) + (sqrt(1216) - (sqrt(1216) + 0)) + -2 + sqrt(1216) + 3))**2.\nAnswer: -832*sqrt(19) + 19625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of -v**4\/24 + 25*v**3\/3 - 3*v**2. Let a(f) be the first derivative of -f**2 - 295. Determine a(w(j)).\nAnswer: 2*j - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37632*y**4 - 68*y**2 - 92037599*y wrt y?\nAnswer: -451584*y**2 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010 + 2111?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -269903, -1079600, -2429093, -4318382?\nAnswer: -6747467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (-2 - -4) - (-3 - 1). Suppose 5*h - 330 = -2*t, -4*t + c*t - 89 = -h. Is h at most 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32624, 32626, 32628, 32630, 32632?\nAnswer: 32634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, 8, 14, 6, -22?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 62 and -5.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 - 10. Let r = 4 - v. Calculate the remainder when 31 is divided by (16\/5)\/(r\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 610 a factor of 150670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -0*q - 15. Let m = -262859 - -262857. Which is the closest to m?  (a) q  (b) 3\/2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*z + 816 + 1678 = 30*z for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20916 divided by -6972.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14404085?\nAnswer: 5, 2880817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 83 = -188 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 410681*x**2 - 21.\nAnswer: 410681*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3 - 37*x - 5*x**2 + 9*x**3 + 77*x - 28*x**2 - x**4 - 16.\nAnswer: -(x - 4)**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12 and 15.8.\nAnswer: 189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.282891l to millilitres.\nAnswer: 5282.891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36733001 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m\/(m\/m**0*m)))**(3\/10))**(-2\/9)*(m**2\/((m**(1\/8)\/m*m)\/m))**39 assuming m is positive.\nAnswer: m**(13447\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -1\/29618  (c) 1\/4  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 4*p = 3*n - 64, -5*n = p + 84. Let w = 71739\/110 + -3267\/5. What is the common denominator of w and (6\/n)\/((-2)\/(-8))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75*z**5 + 5*z - 3.\nAnswer: -1500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j**3 + 4*j**2 - 3 + 4*j**3 + j - 1. Let k be 1\/(-2) - (-15)\/(-6). What is w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 10*c**2 - 20*c - 98. Determine r(10).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -2. Suppose -q*f + j = -292, 1 + 7 = -2*j. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 + (4 - (-26 - -16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 6:56 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - w - 32 + 22 = 0, 0 = 4*y + 5*w + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 71 and 79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.94 - 3. Let f = 0.059964 + n. Round f to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -30, -0.1, -4, 115, 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82340968*h**2 - 41170484*h**2 + 555*h - 41170483*h**2.\nAnswer: h**2 + 555*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4, 72, 202, 406, 696, 1084, 1582, 2202?\n\"Answer: 2*g**3 + 19*g**2 - 3*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f + 16. Let n(u) = 4*u - 76. Let v(o) = 3*n(o) + 14*x(o). What is v(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {n: 1, q: 1, x: 3, p: 2, j: 4, y: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189, -381, -577, -777, -981, -1189, -1401?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**4 - 7*w**3 + 14. Let o(z) = -2*z**4 - 6*z**3 + 13. Let f(n) = 7*o(n) - 6*y(n). Find the first derivative of f(b) wrt b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6678 is divided by 6201.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**4\/5 + 22764*c**3\/5 - 159208*c**2\/5 + 318336*c\/5 - 181888\/5 = 0.\nAnswer: 1, 2, 4, 5684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1257, 1256, 1255, 1254?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 689 + -715. What is the smallest value in 5, 2, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7176519 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = -w. Suppose 3*t = 6 + w. Factor -2*x**2 - 1 + 0*x**3 + 3*x**t + 2*x**3 - 3*x + 2*x**5 - x**5.\nAnswer: (x - 1)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -443, -440, -437, -434, -431, -428?\n\"Answer: 3*f - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away 485435?\nAnswer: -485436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 146198 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 134079 and 61179459?\nAnswer: 7887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 588*d - 291*d = 276*d - 84. What is the fifth smallest value in d, 0, 4, -1.7, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.401 or 18.1?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of 43*p**6\/6 + p**2 - 2*p - 4. Find the second derivative of l(u) wrt u.\nAnswer: 860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/7, -569, -2\/13, 2, -0.09 in decreasing order.\nAnswer: 3, 2, -0.09, -2\/13, -2\/7, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 40.7, 5, -1, -432, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5\/3)*c**(-12) assuming c is positive.\nAnswer: c**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (95\/76)\/(5635\/(-92)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1571814 (base 13) in base 14?\nAnswer: cb3a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -53 in decreasing order.\nAnswer: 5, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.3, -2, -2\/3 in decreasing order.\nAnswer: 5, -0.3, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81594.31 millilitres to litres.\nAnswer: 81.59431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*p - 12 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 + 2)*(-37 - 15*p - 41 + 80)*(-3 - 3 + 4) + 148*p + 150*p - 294*p + 4 to o*p + i and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.4949504mg?\nAnswer: 494.9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2868*a = 38784 + 40325 + 18848 + 25367 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1704\/15 + (-1 - 7\/(-5)). Let s = -94 + o. What is the highest common divisor of 50 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3422 - 3409. Solve 7*x - q = 36 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -7*a**5\/10 + a**4\/3 + 2*a**2 + 230*a. Let y(x) = 168*x**3 - 49*x**2 - 49. Determine -49*i(z) - 4*y(z).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 42932545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1140 and -5133422886.\nAnswer: -5133424026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2033, -2423, -2813, -3203?\nAnswer: -3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 23. Suppose t - 8 = -3*t, k = -4*t + 51. Let x = k - 33. What is the remainder when q(-16) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (-8 - 1) + 0 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*w + 8109 = 251*w - 3053 + 2918 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times 4162?\nAnswer: -291.34","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 6 = 2*h, -2*h + 2 - 16 = 3*j. Let y be (1 + j\/10)*(-105)\/(-42). Let o(r) = 2*r - 3. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*n = 912. Suppose -5*f = 688 + n. Round f to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3570 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22567*w**6 + 12*w**2 + 296*w - 1 wrt w.\nAnswer: -2708040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30723 > 203\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3997071731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/676500 and -67\/45.\nAnswer: 2029500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p - 8. Let z be g(12). Find the second derivative of -9*x**z + 3 - 3 - 8*x wrt x.\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - 3*1*sqrt(76))))\/((sqrt(4) - ((sqrt(4) - (sqrt(16)\/sqrt(4) - sqrt(4))) + sqrt(4)))*6).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -k**4\/3 + k**3 - 6*k**2. Let b be x(2). Let l be b\/35 - 30\/(-7). Solve -n - n = l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 1, -2.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51\/247 + 2\/13. Suppose 2*x + 45 = 7*x. Let r be (-5)\/3 - (-6)\/x. Is r < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 9:35 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50927510 divided by 25463755.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4532968 and 1648352.\nAnswer: 18131872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -4*s - 2, -1 = -4*s - 0*s + 5*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1785\/945 + (-2)\/((-12)\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - o**2)*(3 - 2 + 3)*(0 - 2 - 2)*(-694*o + 293*o - 76*o).\nAnswer: -7632*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/13 + 4890*z**2\/13 - 9786*z\/13 + 4894\/13.\nAnswer: 2*(z - 1)**2*(z + 2447)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30 + -55c7?\nAnswer: -55f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j. Let s be 19\/1 + 3\/3. Let i(z) = -26*z + 42*z - s*z. Give v(i(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5103755798 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -215\/12 - -53\/3. Is z bigger than -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 546 divided by 3\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -64*k - 461. Calculate b(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - (-1 + 1)) + -2. Let d be (-560)\/(-252) - (1 - (-7)\/(-9)). Solve -d*l = 5 - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -264, -3, -11, 2 in increasing order.\nAnswer: -264, -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 148367, 296999, 445631?\nAnswer: 594263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - 2 - 13) + (0 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -263, -279, -301, -329, -363, -403?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 2:06 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 135342421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3*2*((-123)\/246)\/(6\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19125848*l**3 - 106*l**2 + 3*l - 5964 wrt l?\nAnswer: -114755088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 1.2, -0.099275, -2, -9 in increasing order.\nAnswer: -9, -2, -3\/5, -0.099275, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 4*l - 14, 3*n = 2*l + 3*l - 19. What is the biggest value in -1, n, 60, -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3145*r**5 + 2*r - 3995.\nAnswer: 62900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -37.3 - -37. Let d(y) = -2*y + 10. Let x be d(7). What is the smallest value in r, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*2 - (sqrt(12) + 2))**2 - ((-2*sqrt(147) - sqrt(147))**2*1 + 2).\nAnswer: -733 - 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r + r - 5*r)*(80*r**2 - 9*r**3 - 80*r**2 + (4*r**2 + 0*r**2 - 6*r**2)*(-7*r + 3*r + 2*r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 84*t**2 - 633*t - 34. Calculate the common denominator of s(7) and 24\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**4\/2 + 15*r**3\/2 - 42*r**2 - 282*r - 360 = 0. Calculate r.\nAnswer: -5, -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4623 is divided by 186.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 37cd68 - 105?\nAnswer: 37cc63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -1. Let k(s) = -1. Let p(t) = -3*t. Let y(b) = 2*k(b) - p(b). Let o(j) = 2*d(j) - y(j). Determine o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*v - 3*v - 23*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) 1  (c) 4  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 3*d - 2. Let g be b(4). Suppose -132*p = -139*p. Suppose 4*n - 383 = o - 2*o, p = g*o + 5*n - 763. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(-5)\/j)\/j*j)\/j)**1*j**(-21)\/(j*j**(8\/5)))**(-47) assuming j is positive.\nAnswer: j**(7191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 316 and 32.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1809 * -16.\nAnswer: 28944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -48\/11 and -215 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -721 + 720.5. Let j = 984 + -3933\/4. Which is the fourth biggest value?  (a) 44\/9  (b) -0.2  (c) m  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 4:17 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 684 and 2888?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2916\/756)\/(((-18)\/63)\/2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {l: 1, u: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 639820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*3 + (-4)\/(-4). Let u = z - -7. Solve u*n - n = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m. Let y(w) = 6*w + 1. Let t be (8 - (-24)\/(-2)) + (0 - -9). Give t*d(x) - 2*y(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1351, -1, 12 in descending order.\nAnswer: 1351, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1665 divided by -2037?\nAnswer: 555\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -6*i - 2. Let x(n) = 1 + 22*n - 61*n + 38*n. Determine 3*r(z) + 6*x(z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 25 = -3*q, 3*q + 0*q = 4*n - 7. Suppose 2*l - 173 = -g, -5*g - q*l + 748 = -82. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shrspsj. What is prob of picking 1 h and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4104 divided by 221.\nAnswer: 4104\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 5*k - 5. Let v(o) = o**2 - o + 1. Let x(c) = -c**3 - 3*c**2 - c - 7. Let p(i) = 3*v(i) + x(i). Let w = -27 + 22. Calculate w*p(q) + 4*a(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57789, 57836, 57883?\nAnswer: 57930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(-2)*8\/(-5). Suppose -4*d = -c + 8, d + 59 = 5*c - 0*c. Suppose -c = -4*w - l. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 + 30 + 33 + -33?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + sqrt(13) + 0.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 9*r + 5. Let b = -10 - -1. Let g be k(b). Factor -2*h**2 + 27 + g*h**2 - 40*h + 58*h.\nAnswer: 3*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10 + 10 + 176\/1. Factor 2*t**2 + 173*t**3 - 2*t**4 - d*t**3 + 0*t**4.\nAnswer: -t**2*(t + 2)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.049*-21.49894.\nAnswer: -1.05344806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 775*w**2 - 1547*w**2 + 757*w**2.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*n = -89*n - 48. Which is the nearest to -4?  (a) -0.4  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (47\/(-47))\/(-1*(-4)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50920 is divided by 4195.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + q + q = -134, 88 = 3*r - 5*q. What is the highest common divisor of 182 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 7*f + 27. Suppose -2*t = -t - 10. Is 19 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 142*o**3*p**2 - 2*o*p**2 + 10*p**2 - 3 wrt o?\nAnswer: 426*o**2*p**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1959762 to 3 decimal places.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l\/l**(-1\/4))\/l*l)**(-3))**(11\/2))**(-1\/18) assuming l is positive.\nAnswer: l**(33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4490 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**2 + l - 1. Let o(m) = -m**2 - m + 1. Let v(t) = c(t) + o(t). Let h(p) be the third derivative of p**5\/20 + p**2. What is v(h(k))?\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -3\/4, -2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 189 + 142 = 5*a, 0 = 2*a - 3*c + 10 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -17*z**3 - 6*z**2 - 2*z. Let d be c(-3). Suppose 0 = -o - o + d. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22550036 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**2 + 897*x + 16740 = 0 for x.\nAnswer: -279, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010220110211 + 0?\nAnswer: -1010220110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23\/8*w - 1\/8*w**2 - 11\/4 = 0. Calculate w.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, -0.2, -2\/87, 0.5, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2397*t + 6*t**2 - 10 - 155 + 1197*t + 1198*t.\nAnswer: 6*t**2 - 2*t - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28703 is divided by 14027?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1851 + -1851.1137. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6104475 by -406965.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35507834*h**3*k**3 - 2*h**2*k**3 - 10134936*h**2*k wrt h?\nAnswer: -213047004*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42482924 to the power of 1\/2, to the nearest integer?\nAnswer: 6518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2\/15 + 132*l\/5.\nAnswer: 2*l*(l + 198)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -93*l + 7831. Does 11 divide t(-130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 4 - 11)*(-2*t - t + t)*(-3*t + t + t)*(4*t - t - 5*t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.2 - 20.2. Let q = 8.5 - 48.5. Let o = k - q. Put o, -0.05, 1 in increasing order.\nAnswer: o, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-3 + 1)) + (-11 - (5 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 5\/391, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3*q)\/q*q\/(q\/(q**(-3\/11)\/q))*(q*q\/(q*q**(-4\/7)*q))**(-33) assuming q is positive.\nAnswer: q**(-1319\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from {t: 2, x: 2}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/304 and -15\/152?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 4.6. Let g = -264.99 - -264.89. Let q(l) = l**3 + 12*l**2 + 10*l - 8. Let s be q(-11). Sort -18, g, r, s in descending order.\nAnswer: s, r, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of o**6\/360 - o**5\/45 + o**4\/18 + 5*o**2 + 22*o. Factor p(l).\nAnswer: l*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*w**2 - 242*w**3 + 467*w**3 - 8*w - 224*w**3 + (3*w**2 - 3*w**2 + 3*w**3)*(-3 - 2 + 2) to y + q*w + c*w**3 + g*w**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32.66 + 195.1. Let t = 167 - q. What is t rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -129 - -121. Is f greater than or equal to -33\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(3\/77)*-2. Let h(b) = -48*b + 225. Let a be h(6). Let k = a - n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0913 in -0.3, -1\/3, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 3) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2*q - 155 = 3*q, -3*j + 225 = -5*q. Suppose 44*t - 42*t = j. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dgqgqgdggqgqqggqdqg. What is prob of sequence dqq?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**6\/60 + 2*n**3\/3 + 3*n**2. Differentiate p(a) with respect to a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and 100535.\nAnswer: 5026.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*b - 25, 5*c - 91 = 3*b - 5*b. Suppose -28*d = -31*d + 30. What is the remainder when c is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 536 - 530 = 0, 5*n - 4*q - 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**2 - 6*u + 7. Let a(t) = 6*t**2 - 11*t + 13. Let d(w) = 4*a(w) - 7*v(w). Calculate the lowest common multiple of 8 and d(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - -3) + (23 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 196 - 177. Which is the third biggest value?  (a) z  (b) 3  (c) 2\/13  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2 + 6 = 0. Let h(s) = s**3 - s. Let c(q) = 5*q**3 + 2*q**2 - 6*q. Let g(r) = -c(r) + 6*h(r). Calculate g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5147*z + 2630*z + 2601*z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**4 - 7*c**3 - c. Let w(l) = -91*l**4 - 21*l**3 - 3*l + 1020. Let x(h) = -3*k(h) + w(h). What is the derivative of x(g) wrt g?\nAnswer: -376*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*z + 2*z + 2*z = 26*z. Let k = -16611 + 11345311\/683. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (6 - 2) - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -548, -456, -378, -320, -288, -288, -326, -408?\n\"Answer: -q**3 - q**2 + 102*q - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-80)\/(-600))\/((-6)\/(-40)) and 50\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7785532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 49*t**3\/6 - 16*t**2 + 4*t. What is the first derivative of a(k) wrt k?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 13023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 - 41068*l**3 + 208177842*l**2 + 27153504512*l + 874328563712.\nAnswer: 2*(l - 10331)**2*(l + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, h: 2, o: 1, b: 8, n: 1}. What is prob of sequence nhb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 0*x**3 + 0*x**6 + 11\/168*x**8 + 0 - 1\/24*x**4 + 0*x + 0*x**7 + 0*x**5 - 12*x**2. Find the second derivative of y(u) wrt u.\nAnswer: 440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*-1*5\/15. Let i = q - -10. Is i at least 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3 = 2*m. Let g be ((-67)\/(-201))\/((-1)\/(-6)). Sort -3, 0, m, g in ascending order.\nAnswer: -3, 0, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6004 - 745 = -3*c. Let n = c + 3507\/2. Find g such that -3\/4*g + 1\/4*g**3 + 0*g**2 + n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -26*x**2 - 4*x. Let p be 5\/(-2)*(-112)\/(-140). Let c(v) = -v**2 + 2*v. Let j(d) = p*c(d) - t(d). Let q(u) = 9*u**2. Calculate j(q(s)).\nAnswer: 2268*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3732.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 13\/(-4)*(27 - (6 + 1)). Let u be (-1)\/(1\/(-208)) - (c - -63). Calculate the greatest common divisor of 42 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 4:37 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 5. Let z = -100.92 - -101. Let a = z - w. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -1 + 1 + n**2. Suppose -3*a + 6 = 3*g, 3*g + 0*a - 3*a = 12. Let z(k) = -g*k**2 + 0*k**2 + k**2. Calculate f(z(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 658350175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 470418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/930501 and -25\/10881.\nAnswer: 28845531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 65270801 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37559733?\nAnswer: 3, 12519911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 16 = g, 178*l + 3*g - 24 = -159*l + 334*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 7:36 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -347.165 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -195?\nAnswer: -8\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1507952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 62496 divided by 4464?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -28*v - 78 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(3 + -2) + 3. Suppose -s + 1 = -0, 0 = 3*o - w*s + 16. Let a = -3 - o. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0013183 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*j + j - 3*j**5 - 2*j**5 wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 7*z**2 + 5. Let p be u(7). Let b = 0 + p. Solve -4*q = -25 + b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 0*t**4 + 1\/6*t**3 + 0 + 0*t - 11*t**2 - 1\/240*t**5. Factor q(c).\nAnswer: -(c - 2)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -293.4 - -290.4. Put 0.3, -1.8385, w in descending order.\nAnswer: 0.3, -1.8385, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 times -7219?\nAnswer: -1400486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4a839908 - -2?\nAnswer: -4a839906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-2 - -5 - 2) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2. Let o(d) = 19*d**2 - 6*d + 1. Let h(x) = 56*x**2 - 17*x + 3. Let q(a) = 6*h(a) - 17*o(a). Give n(q(j)).\nAnswer: 169*j**4 + 26*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**5\/4 + 81*p**4\/4 - 523*p**3\/4 + 363*p**2\/4 + 131*p - 111 = 0. What is p?\nAnswer: -1, 1, 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sddr when four letters picked without replacement from dcrqscdcc?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4323 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, m: 3, k: 2, l: 1, a: 2, x: 3}. What is prob of sequence xlxw?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302741325.\nAnswer: 3, 5, 593, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - h = -13434, 2944 = k - h - 412. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**4)\/s**(-2\/3)*s**(4\/5)*s**(-2\/7))\/((s**(-1))**43\/(s\/(s\/s**(-1)))**(-7\/4)) assuming s is positive.\nAnswer: s**(21391\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 2339 = 591. Let w = q - -431. Are -156 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/4)*d*d**(-8)*((d*d**(-4))\/d)\/((d*d*(d\/(d*d**(-1\/3)))\/d)\/d) assuming d is positive.\nAnswer: d**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*f - 17 = 0, 25 = -5*f - 0. Let v = z - 1. Suppose 0 = -j, 5*n + 5*j = -v*j. Solve n = -3*s + 2*d + 4, 4*s + d - 28 = -2*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 2*p - 20, 0 = -3*m - m + 2*p + 12. Solve -m*t = t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 1 + 15. Suppose 3*g = 35 + 25. Suppose -u*c + g = -2*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*sqrt(2200)*1 + sqrt(2200)))\/(-3*sqrt(1152)*-4).\nAnswer: 25*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(sqrt(3) - sqrt(3)*-3) - (3*sqrt(40))\/sqrt(8))**2.\nAnswer: 605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1440199 + 274281\nAnswer: 1714480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1307.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/9, 1\/4, 22, 13 in increasing order.\nAnswer: 2\/9, 1\/4, 2, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (208*p + 48*p + 215*p)*(2*p - p - 2*p + (-2*p - 3*p - 2*p)*(1 - 1 + 1)) as h*p**2 + g*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07667776112 to 6 dps.\nAnswer: 0.076678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 6*a + 30 = -5*i, 2*a - 11 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37167682*d**3 - 26021890*d + 2.\nAnswer: 223006092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.0525 - -0.1145. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of -b**4\/8 - 98*b**2. Let f(y) = 30*y**2. Give f(l(s)).\nAnswer: 270*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1026, 11, 0.089 in descending order.\nAnswer: 1026, 11, 0.089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*v**3 - 3*v**2 - 4*v + 2 + 9*v**3 + 5*v in the form d*v**3 + n + k*v**2 + r*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -a + 8. Calculate the remainder when 1\/6 - (-58)\/12 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1006110 is divided by 3430?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4, -16, -44, -94, -172?\n\"Answer: -b**3 - 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 244223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*j**4 - 5*j**4 - 15*j**4 + (0*j**2 - 2*j**2 + 3*j**2)*(j**2 + 4*j**2 - 3*j**2))*(-2*j - 2*j + 6*j).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1290, 1907, 2518, 3123, 3722, 4315, 4902?\nAnswer: 5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*1\/(-1)*1. Let s be (-39)\/(-26) - k\/(-2). Suppose -2*d = 5*f - f - 1318, s = -3*f - 3*d + 987. Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 3:57 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -47960 + -161040. Round k to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*h + 7563 - 8850 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6864342 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1042 and 117388594?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -38921*p - 233521. Determine t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -159.2 and 2.\nAnswer: -318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r - 3. Let q be f(-2). Suppose 4*d + 20 = -3*y, q*y - 11 = -d + 1. Let x(n) = -2*n - 2. Let i(c) = 5*c + 6. Calculate d*x(v) - 3*i(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/3 + 607664*n**2 + 1215329*n + 1822994\/3.\nAnswer: -(n - 1822994)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -47, 3\/755, 0.2, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + h + h - 70 = 0, 4*a - 154 = 3*h. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -215*c*g**4 - c*g**3 + 36*c*g**2 + 2*c*g + 4*g**2 wrt g.\nAnswer: -5160*c*g - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88.55 + -115.4. Let l = 27 + u. Round l to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 3:33 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -101 + 102. Suppose o = 7*a - 6. Let y(k) be the third derivative of k**5\/30 - k**3\/6 + 5*k**2. What is y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 12, m: 3, u: 2}. Give prob of sequence mmn.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149415.\nAnswer: 3, 5, 7, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 1. Let g(b) = -6*b - 3. Give -g(q) + 3*z(q).\nAnswer: 6*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9171.195 micrometers?\nAnswer: 0.009171195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 4*v - 4023 = -4035, -3*v - 26 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 6*k**2 + 18*k - 14. Let l be r(7). Let y = l + -60. Solve 0 = 3*x + 5*m - 25, 2 + y = -4*x + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2 - 252971611*a**3 + 3 + 1 + 252971634*a**3.\nAnswer: 23*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -53, -71, -95, -119, -137, -143?\n\"Answer: c**3 - 9*c**2 + 2*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 2:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 91865395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49771 - 347272\/7. Let l be (-3 - (19 - -1))*-7. Let u = r - l. Put -3, 0.4, u in decreasing order.\nAnswer: 0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5129 = 1255. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 9:41 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2\/4 + 1080*h - 2157.\nAnswer: -3*(h - 1438)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 853556701?\nAnswer: 1409, 605789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1\/6, 0.1, 0.659, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**3 - 5*j**2 + 7. Let o be k(5). Let a(r) = -r**3 - 52*r**2 - 286*r - 12. Let i be a(-6). What is the greatest common factor of o and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 230 - 228. Solve s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = y - 23, 7*y - 8*r - 89 = -10*r + 52 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - 5 - (-1899)\/(-639) - 44\/4.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 6*w**3 - 4*w - 3. Let v(a) be the third derivative of -a**6\/10 + 3*a**4\/8 + 7*a**3\/6 + 170*a**2 - 2*a. Determine 7*m(i) + 3*v(i).\nAnswer: 6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*-2*sqrt(1100) - ((sqrt(1100) - 3*-2*sqrt(1100)) + sqrt(1100)))*4*-3)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 4:36 PM?\nAnswer: 683","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 84226.9 weeks?\nAnswer: 50940429120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -139\/10 + 27\/2. Let t = -29 - -28. Which is the nearest to t?  (a) -2  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95 divided by -19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2396.61931 rounded to the nearest 10?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 205404424 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o**(-6)\/o)\/o))\/(o*(((o*o**(2\/3)*o)\/o)\/o)\/o)*(o**(-1))**(1\/72))\/((o**(2\/9)*(o*(o*o**(-4\/9))\/o)\/o)\/(o\/(o\/(o**0\/o))*o**8)) assuming o is positive.\nAnswer: o**(373\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/20*(-15)\/(-9). Suppose -r + 2*h = -b*r + 8, 5*h = -2*r + 17. Let i = -1 + 11. Calculate the least common multiple of r and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*m**2 + 3*m**2 - 6*m**2)*(1 - 5 + 5 + 12*m + (6 + 2*m - 6)*(-3 - 2 + 4)).\nAnswer: 100*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p + 1. Calculate j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -320*x - 30. Let l(p) = 107*p + 9. Determine -7*l(o) - 2*v(o).\nAnswer: -109*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37.8 - -29. Let b = 1.8 + w. Let t = -6.99989 - b. Round t to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -34, -37, -42, -49, -58, -69?\n\"Answer: -o**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = t - 2. Let j be ((-2)\/4 - t)*6. Suppose -2340006 = 5*x - 2*x + 2*d, -j*d - 9 = 0. Round x to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -10 - 6*j - 3*j - 7 + 2. Does 12 divide u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -142013?\nAnswer: -142021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -978407\/36 + 27174. Calculate the common denominator of -41\/388 and l.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -30021, -60111, -90189, -120255, -150309?\n\"Answer: 6*h**2 - 30108*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-252)\/222) - 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13642 - 3991. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/4)*r)\/((r*r\/((r*r**(-1\/6))\/r)*r)\/r)*r\/(r\/((r*r\/(r*r**(-1\/3))*r)\/r))*r*r**(-1\/8) assuming r is positive.\nAnswer: r**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 269*g - 272*g + 12. Solve 2*h + m + 6 = 14, -8 = 4*h - g*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 2 - 4)*(5*w + 5*w + 8*w + (w - w - 2*w)*(1 - 1 + 1)) to the form z + k*w and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 9:22 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 82*8\/1312 + (-57)\/42?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1828439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 325 + -217. Let t be 58\/(-12) - 18\/q. Sort t, 2, 5, -8 in decreasing order.\nAnswer: 5, 2, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179486.\nAnswer: 2, 17, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 6*f**2 + 19*f - 3. Let t(k) = 3*k**2 + 9*k - 2. Let m(y) = -3*a(y) + 7*t(y). Let w = 18 + -25. What are the prime factors of m(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by 8134.\nAnswer: -15\/8134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -8  (b) 4  (c) 2.42  (d) 0.3  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-70)\/(1 - (1 - -1)). Suppose -2*n + 6 = -q. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, g: 7}. Give prob of picking 1 g and 1 d.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928723 is divided by 121.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010001 - 1111010010100010010?\nAnswer: -1111010010011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*i**3 + 12*i**3 - 16*i**4 + 2*i**4 - i**4 + 0*i**4 + i**2 - i**2 - 2*i**4 + (1 + 2 - 4)*(3*i - 3*i + 2*i**4) - 2*i**4 + 3*i**4 + 0*i**4.\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 0*b**2 + 0*b**2. Let a be 2*(2 + (-3)\/3). Let k(m) = -a*m + 2*m - 3*m**2. What is k(l(i))?\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 246877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -8. Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18107961.\nAnswer: 3, 6035987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -2)\/(-3) - -3. Suppose 34 = o*i - 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.305, -194\/9, -3 in descending order.\nAnswer: 0.305, -3, -194\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - b**2 + 4*b. Suppose y - 10 = -4*y. Let i be y\/4 - (-21)\/(-6). What is the units digit of p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*c**4 - 4*c**4 + c**4 + (3*c + 3*c**2 - 3*c)*(180 + c**2 - 180 - c).\nAnswer: 5*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 PM and 12:39 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 165 and 1245?\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9240110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*u + 60 = -16*u. Determine w so that 8\/9 + 8\/3*w + 4\/3*w**3 + 26\/9*w**2 + 2\/9*w**u = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 6\/7, 555, 0.1 in increasing order.\nAnswer: -1, 0.1, 6\/7, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.69671 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((51\/34)\/(18\/(-3)))\/((-23)\/(-24))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 111000100?\nAnswer: 111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 47c05 + 7?\nAnswer: 47c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2870*f + 22. Let j(w) = 4810118*w - 36883. Calculate -3353*a(z) - 2*j(z).\nAnswer: 2874*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 10*f - 70. Solve 5*a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujbjbjjbjbjubub. Give prob of picking 1 j and 2 b.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 304 and 4.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 710 - -261. List the prime factors of f.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 1\/3*z**4 + 1\/20*z**5 - z - 3*z**2 + 0 - 1\/3*z**3. Let c be d(-4). Solve -7 - 3 = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*w + 1973 = -1991, -4*w - 1009 = -c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -9 - 83. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1037196*m**2*n - 555026*m**2 + n**4 wrt n.\nAnswer: -1037196*m**2 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1446588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.17 times -9.3?\nAnswer: 113.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.4 - -3.6. Let x = -0.1 + 1.4. Let i = -6.3 + x. Which is the nearest to 2\/5?  (a) p  (b) 0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/3 - 1172*d**2\/3 - 39688*d\/3 + 28016.\nAnswer: 2*(d - 618)*(d - 2)*(d + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -31*k. Let q be j(-1). Let x = q + -21. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - -68) + -3 - (-5 - -1) - 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -1\/4, 0.2, 1, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 5 + 1)*(-2 - p + 2) - p - p + 0*p + (-3 + 1 + 3)*(0*p - 5*p + 4*p) + 0*p + 2*p + 0*p - 2 - p + 2 in the form q*p + t and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*n - 156*n + 713*n - 585*n.\nAnswer: -138*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1008 and 11551572?\nAnswer: 323444016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 42422817 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8322 equal to 8326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 + p**4 + 3*p**4)*(4*p + p - 3*p) + (-492*p**2 - 3688*p**2 - 5502*p**2 - 7369*p**2)*(2*p**2 - 2*p**2 - p**3).\nAnswer: 17055*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2917293677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 + 0.5. Let q = 251 + -248. Suppose -3*o + 3 = -4*o. Which is the smallest value?  (a) q  (b) o  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s. Let f(l) = -7*l - 9. Let y(h) = f(h) + 6*z(h). Give y(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -5. Let i be (11 - (-15 + 9))*(-1 + 2). Suppose l*k - i + 1 = 3*f, -19 = -5*k + 2*f. Solve -4*m - k = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 362*l + 2546. Let c be z(-7). Let b = -304 + 508. What is the highest common divisor of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 + 15. Suppose 0*n + 5*n = 5*f + 45, b = n - 5*f + 7. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25083797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1574899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 58*d**2 - 181*d + 2. Give k(4).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-184)\/(-6) - 2\/(-6). Let s(n) = -9*n + 8. Let a be s(-6). Suppose -2*g = 2*l - 34, -4*l + g + d = -a. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108635249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**2 - 4*b**2 + 0*b**2)*(9 - 42 + 37 - 45*b).\nAnswer: -45*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 + 94 = -6*c. Suppose 4*x = -3*q + 27, -c = 15*q - 16*q - 2*x. Let t be (3\/2)\/(-1*1). What is the third biggest value in t, -1.2, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 143 = 5*o + i, 4*o = -5*i + 128. Suppose 0 = -4*m + 19 - o. Is -5 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w + 10. Let t(y) = 14*y + 29. Let i = 6 + 5. Let z(d) = i*r(d) - 4*t(d). List the prime factors of z(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11880 - 5556. Let h = m - 817. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 4*z = u - 31, 2*u - 5*z = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - 2. Let t(s) = -16*s - 3. Let i be t(k). Let c be 153\/i - 1*3. Is 0.06 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368917, -368864, -368777, -368656, -368501?\nAnswer: -368312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/11)\/(161\/1771).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 166611 and 328719?\nAnswer: 12162603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - -1) + 0 - 9. Let a(g) = -g**3 - 8*g**2 - 9*g - 10. Let v be a(y). Suppose z + 2 = v. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -30*i*z**2 - 7*i*z + 352*i - 12*z**4 - 23 wrt z.\nAnswer: -60*i*z - 7*i - 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 4*b + 4. Let i be c(-4). Solve -12 = -k - i*v, -k - 4*v + 15 = v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35596.57 millennia to years.\nAnswer: 35596570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 1\/4, -1, 0.009, -0.4?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 9. Let r be ((-22)\/k)\/((-3)\/(-9)). Let i = 19 + r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 167, 342, 493, 596, 627, 562, 377?\n\"Answer: -4*a**3 + 12*a**2 + 167*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 1 = -2*c, -3*m + 5*m - 5 = 3*c. Let y be 7 + (-3 + 1 - c). Let o(t) = 5*t**2 + 6*t. Let h(x) = -15*x**2 - 17*x. Determine y*h(p) + 17*o(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + -3)\/((-4)\/(-4)). Let p be 2\/(6\/(-9) - h). Is (2\/p)\/(2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r - 8. What is p(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2))**5\/(g**(-5)\/(g\/(g\/g**0))))**(-31\/2) assuming g is positive.\nAnswer: g**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 40*x - 9. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 4*z - 2*d + d, -4*z = -4*d - 72. Let l = z - 17. Solve 0 = 4*b + 4 - 0, -g + 6 = -l*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -277, -1361, -4311, -10063, -19553, -33717, -53491, -79811?\nAnswer: -113613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 9423*l + 12907. Is c(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -118722426*d**4 + 536*d - 87453.\nAnswer: -1424669112*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*d - 15 = -d, -3*v = 5*d - 31. Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -0*q - 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 597.000486 - 597. Round i to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*f - 1074 = -1012. Solve 0 = -2*j - u + 20 - 21, -f*u = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*k**2 + 47*k**2 - 25*k**2 + 356*k**3.\nAnswer: 356*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -58*c**3 + 16*c**2 + 12*c + 34. Is 4 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -3003437?\nAnswer: 3003440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*p + 268 = 178, -29 = 2*x - 3*p. Let n(v) = -55*v + 11. Let l(i) = -11*i + 2. Determine x*l(g) + 4*n(g).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -621 = -2*u - 3*f, -f = -3*u - 5*f + 934. Suppose 11*g - u = 45. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39973836 divided by -1903516.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 2)*(-4*m + 5*m - 3*m) - 7*m + 0 + 4 - 2.\nAnswer: -9*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -33955747.79 plus 0.047?\nAnswer: -33955747.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -20941, 4, 1 in decreasing order.\nAnswer: 4, 1, -20941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, -2\/7, -84, 2 in decreasing order.\nAnswer: 2, 3\/4, -2\/7, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 72. What is the first derivative of -63*v**2 + 4*v**k + 27*v**2 + 38*v**2 - 41 wrt v?\nAnswer: 12*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 1 + 2 - -2. Suppose -32 = -g*u + k, 0 = 4*k - 4 + 20. Suppose 4*s - 44 = -0*s + o, 2*o + 8 = 0. What is the least common multiple of u and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/51429 and 34\/2401.\nAnswer: 17640147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(245) + 3 + (sqrt(245) - (-1 + sqrt(245) + 3 - sqrt(245))))*5)**2.\nAnswer: 1050*sqrt(5) + 55150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 8. Sort d, -5\/23, -4\/5.\nAnswer: -4\/5, -5\/23, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 101\/((-84)\/8904*-106).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) -2\/15  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*7.265.\nAnswer: 4.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) -2  (b) 1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 15) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3734852*z**3 - 5 + 3734866*z**3 - 26.\nAnswer: 14*z**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 202 + -11. What are the prime factors of u?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 5*t**2 - 5*t. Let n be k(4). Let g = -7 - -8. Let j be (-1 - 0)*g - -2. Put n, j, -1 in ascending order.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6.4, 19, -0.6, -2\/29?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/(n\/(n*n**(-12\/11)*n*n)))**(-46) assuming n is positive.\nAnswer: n**(-460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 433 is divided by 206?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -40 - -3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 270.17 and -0.2.\nAnswer: -54.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t - 5. Let x(o) = 10*o - 12. Let y(u) = -12*h(u) + 5*x(u). Let k(g) = -8*g**2. Calculate k(y(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 677 a factor of 70368291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -1\/2*f**3 - 1\/20*f**5 + 1\/120*f**6 + 0 + 0*f + 1\/12*f**4 + 12*f**2. Suppose -4 = a - 6. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 5*q = 9, -3*o + 0*q + q - 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*i - 18*i + 235 - 44*i - 66*i.\nAnswer: -165*i + 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -706 divided by 384\nAnswer: -353\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1025 + 1031. Solve -s*x + 10 = -8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 + (4 - 0\/3) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 245*u**2\/4 - 846405*u\/2 + 2924087445\/4.\nAnswer: 5*(7*u - 24183)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 25525 (base 6) in base 16?\nAnswer: f1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*z + 4*o - 57, z + 2*o = -3. Is 22 a factor of 33*((-105)\/z + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*g**4 + 5*g**3 + 10*g**2 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-80)\/6*(-60)\/50. What is the highest common divisor of h and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 981233*n*p**2*s**2 - 64*n*p**2 - n*p*s + 1305*n*p + 11*n*s**2 - n wrt s?\nAnswer: 1962466*n*p**2 + 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x, f + 4*f - 5*x - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f\/(f**6*f))*f*f\/(f\/f**7)*f)\/(f**(-5)\/(f*f\/(f**(-4)\/f))) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -63, -165, -365, -699, -1203?\n\"Answer: -6*c**3 + 5*c**2 - 13*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -3*q**2\/2 - 5*q - 4353. Let k(a) = a + 2. Calculate 11*k(o) + 4*p(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2026357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 50*z - 199. Calculate s(44).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6619985 is divided by 678?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0. Suppose 3*q + l = 9. Suppose -v - 4*i = -22, 5*i = -q*v + 6 + 25. Solve -5*g - 2*o - 11 = 3, -g + v*o = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(6\/(-2861354)))\/1. Suppose -2*u - 1285873 - a = 0. Let n = u + 1998275. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -5. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -703675991, -703675990, -703675989, -703675988?\nAnswer: -703675987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 410.292 days?\nAnswer: 35449228800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 201 - 201.044. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of t**3\/9 - 77*t**2\/6 - 196*t - 8365. Determine q, given that d(q) = 0.\nAnswer: -7, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -235243213 and -3.3?\nAnswer: 235243209.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 86. Let c be 4\/14 + 7059\/o. Let i = 86 + c. Calculate the common denominator of i and 83\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((7\/4)\/7)\/(4\/932). Sort -0.1, c, -4 in descending order.\nAnswer: c, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586026 minus -176239.6?\nAnswer: 762265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -48*(-8)\/(-12)*-1. Suppose -i*l + 34*l - 160 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 19*o**2 + 37*o + 56. Let y be l(-17). Let p be (-6)\/((-2 - 0) + 0). Factor -v**2 + 34*v + 5*v**y - 11*v**4 - 34*v + 7*v**p.\nAnswer: v**2*(v - 1)**2*(5*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11290 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 109745 and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 33. What is the remainder when 51 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -659, -668, -689, -728, -791, -884, -1013, -1184?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -979*q**6\/120 - 4*q**4 + 2*q**2 + 2874. What is the second derivative of m(z) wrt z?\nAnswer: -5874*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (18 - 18) + -5 - (-7 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**3 - 4*p**2 + 39. Let w be h(-10). Is (w\/4)\/(((-126)\/(-56))\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 4:21 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/5, 0.0152, 3\/7, 16\/63 in decreasing order.\nAnswer: 3\/7, 16\/63, 0.0152, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2969 (base 13) to base 9.\nAnswer: -8208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/(-165)*((-47)\/42 + 2) and -31\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546068?\nAnswer: 2, 211, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 9*s + 18. What is the tens digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f**3 - 466*f**2 - 230*f + 247. Determine o(-116).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-34)\/((-4760)\/385) + -2*1\/(-8). Solve f + 0*b + g*b - 3 = 0, -3*b + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -223112520 (base 6) to base 4.\nAnswer: -33201112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -37 - 11*u**2 - u**4 + 19*u**2 + 17*u**2 + 2*u**4 wrt u.\nAnswer: 4*u**3 + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 6*s - 5. Let m be f(-6). Put -12, 4, -2, m in descending order.\nAnswer: 4, -2, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o**2 + 2*o - 2. Let s(z) = 6*z**2 + 3*z - 3. Let g(q) = -3*a(q) + 2*s(q). Let d(h) = -23*h**2. Give g(d(f)).\nAnswer: 1587*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/41 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**10*d)\/(d*d**(2\/7)))\/(d*d\/d**(5\/6)*d*d*((d*d\/(d*d*d**21*d*d))\/d)\/d) assuming d is positive.\nAnswer: d**(1325\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 7:24 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22 + 3*x - 22)*(-4 + 4 - 3)*(-5*x**4 - x**4 + 3*x**4) - 2*x**5 + 2*x**2 - 2*x**2 + (-4*x**2 + x**4 + 4*x**2)*(-4*x - x + 6*x) - x**5 + x**5 - 2*x**5.\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -202625370 and 0.3.\nAnswer: -60787611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, 1\/3141, 5.9?\nAnswer: 1\/3141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -158.3 * -767.78\nAnswer: 121539.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.041 bigger than 22352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -340*n**4 - 6*n**3 + 627*n**2 + 12*n - 3. Let f(g) = 2*g**4 - 2*g**3 + 4*g - 1. Let y(x) = -3*f(x) + j(x). Find the third derivative of y(i) wrt i.\nAnswer: -8304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29*d**4*h + 150*d**4 + 29*d**2*h - 5*d*h + 591405*h wrt d.\nAnswer: 348*d**2*h + 1800*d**2 + 58*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h\/h**(6\/5)*h*h)\/h))\/(h\/(h*h**(-7))))\/((h\/(h\/(h*h*h**(-2\/7)*h*h*h)))\/h)**(-41) assuming h is positive.\nAnswer: h**(5092\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32654.\nAnswer: 2, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303842983?\nAnswer: 303842983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + 0)\/((-17)\/(-51))*176\/96. Let w(z) = -94*z + 5. Let j(s) = -19*s + 1. Calculate b*j(k) - 2*w(k).\nAnswer: -21*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11981 is divided by 146.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5512669430 and 12085.\nAnswer: 12085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 2. Let r = -351 + 349. Give i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/9  (b) 1\/67171  (c) -0.1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 11*v**2 + 7*v - 35. Determine d(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 422 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 39*x + 329. Let z be h(26). Let f be 2\/(-20) - z\/(-110). Which is the fourth biggest value?  (a) 1  (b) -24  (c) f  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 2*a + 4 = 0. Let v(i) = 76*i**3 - i + 1. Let p be v(a). Suppose 2*o - 6 = -5*q + p, 4*q - 2*o - 62 = 0. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*m**4*o - 50*m**2*o + 8*m*o - 3*m - 23 wrt m?\nAnswer: 132*m**2*o - 100*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3393 (base 14) to base 3\nAnswer: 110021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 36, 3\/5, -4.9, 0.2 in descending order.\nAnswer: 36, 1, 3\/5, 0.2, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -18.14. Let d = a - -0.06. Let y = -0.0799997 - d. What is y rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2 = -3*w + 22, 5*w - 6178*n - 57 = -6182*n for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 516549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43515 + -43520. Let j = -6 + 4. Sort 4, c, 5, j.\nAnswer: c, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.89716 + 0.10284. Which is the biggest value?  (a) 5  (b) -2\/5  (c) m  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 1. Let i(a) = -13*a**4 + 3*a**2 - 7. Let c(l) = i(l) + 3*r(l). Find the first derivative of c(g) wrt g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 204, -5, -27, -2, -3 in increasing order.\nAnswer: -27, -5, -3, -2, 5, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.214 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70d6 (base 15) to base 5.\nAnswer: 1230301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17494504 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(972)*-2)\/(sqrt(48)\/sqrt(192)) + ((sqrt(6) + sqrt(6) + (sqrt(6) - sqrt(12)\/sqrt(2)) + sqrt(6))*-4)\/sqrt(288).\nAnswer: -73*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2258995.\nAnswer: 5, 451799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*g - 131, -2*g + 4*g + h = 63. Suppose 0 = t + u - 3*u - 24, -t + 4*u + g = 0. Solve 0 = 4*z - 3*d - t, 3*z - 4*d - 10 = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4 + 12*n**3 - 144*n**2 + 336*n - 240.\nAnswer: 3*(n - 2)**3*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/3 - 3002*b\/3 + 3004\/3.\nAnswer: -2*(b - 1)*(b + 1502)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h - 96711246 + 96711246.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -488 - -893. Let x = 712 - v. What are the prime factors of x?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/5, -1\/473, 3, -7\/3, 0, -99?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -245*v**4 - 6755*v**3 - 10170*v**2 - 4180*v - 520 = 0. Calculate v.\nAnswer: -26, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 3*q**2 + (-2*q + 4*q + 0*q)*(-3 - 2*q + 3) + 5*q - 2*q**2 - 5*q + 2*q**2 - 11*q + 11*q to the form c*q + l*q**2 + j and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-249)\/18 - 2\/12. Let x be 4\/(-6)*63\/g. Suppose 10 + 8 = x*v - 3*c, 0 = -5*v + c + 22. Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -66*a - 27. Let d(q) = 5*q + 2. Let w(g) = 27*d(g) + 2*x(g). Suppose -7*f = 6 - 34. Let o(p) = p**2 + 5*p - 5*p - f*p**2. What is w(o(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-168)\/8 - (-13 - (-1 - 5))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 + 34*s - 2738. What is j(-45)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 3*p + 4. Let l be z(-4). Suppose h - c = 6*h - 41, 0 = 3*h + 3*c - 27. What is the greatest common factor of l and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -v**4\/24 - v**3\/6 - 4*v**2 + 8. Let r(u) be the third derivative of u**4\/12 - 5*u**3\/6 + 20*u**2. Calculate -5*q(b) + r(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-7)*c\/((c\/c**(-1\/2))\/c*c))**(-48))**(-18\/11) assuming c is positive.\nAnswer: c**(-6480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 0.2. Let h = -1283695 + 1283692.799924. Let o = h + n. Round o to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17 or 297\/17?\nAnswer: 297\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) 527  (c) -0.0764  (d) 82  (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in -0.21, 5, -342, -1.4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, r: 2}. What is prob of sequence frf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*s**3 + 2*s**2 - 13*s**2 + 11*s**2.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-52)\/16 + 2)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.435 - -0.535. Which is the second smallest value?  (a) 0.008  (b) -8\/7  (c) -3  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38\/2501 + -1189374\/72529. Let z = 6587\/290 + t. Calculate the common denominator of z and -49\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -135 - -149. Calculate the lowest common multiple of j and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 3*v**7\/70 - v**5\/12 - 11*v**2. What is the third derivative of b(x) wrt x?\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1219 - 702. What are the prime factors of l?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, n: 1, a: 1, l: 4}. What is prob of picking 1 w and 1 n?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*n - 962 = -13862. What is n rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o - 4*t + 207 = -23*o, 2*o = 4*t + 450. Calculate the highest common divisor of o and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + 1)\/(6\/4). Let y be 1 - 1 - n\/9. What is the second smallest value in -1, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*j + 25 = 0, 0 = i - j - j. Suppose 94 = 4*z + 3*p, -3*z + 99 - 22 = -p. Let k be 54\/10 - i\/z. Solve 4*q + k*l - 15 = 7*q, 0 = -l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -265787389 divided by -59\nAnswer: 4504871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f**3 + 154*f**2 + 1163*f - 176. Calculate z(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 919518 and 8606?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 372018 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -73 - -72.7. Let y(k) = -k**3 - 5*k**2 + 6*k - 5. Let h be y(-6). Which is the nearest to -0.1?  (a) u  (b) h  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -606?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 344285, 1, 7 in decreasing order.\nAnswer: 344285, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhqq when four letters picked without replacement from {r: 3, q: 2, k: 1, h: 1, d: 7}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*p - 276, 8*x - 264 = 3*x - 2*p. Let s be (16\/10)\/(1\/10). Suppose -3*l + s = -38. What is the greatest common factor of l and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21423 + -3?\nAnswer: -21431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.352 + -6.222. Let m = n - -0.87. Is m > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 945671*(7 + (61 + -7)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 190*p**2 - 14*p - 17. Let s(f) = -65*f**2 + 5*f + 6. Determine 17*s(z) + 6*w(z).\nAnswer: 35*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1*-3)\/((-4544)\/504 + 9). Calculate the highest common divisor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-28) + (-4)\/14. Let y be (-3 - (p - 4))*1. Solve -h - 2*h - 6 = y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130 (base 13) to base 5.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -693351988 or -693351987?\nAnswer: -693351988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-1692.6.\nAnswer: -507.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of 2*d**3\/27 - 46*d**2\/3 + 1058*d - 555. Solve f(c) = 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23 + 19.9. Let n = u - -1.3. Let m = n + 2.1. What is the nearest to 1\/4 in -1, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 2:03 PM?\nAnswer: 449","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 308, 1248, 2816, 5012, 7836, 11288, 15368?\nAnswer: 20076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 3, -4*c - 2*m + 22 + 92 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5081*a - 5081*a + 19*a**2 - 20*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 633 = o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -109 - -2?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*u**(-6)\/u)\/u)**42 assuming u is positive.\nAnswer: u**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37894.\nAnswer: 2, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b + 1. Let g(y) = 5*y - 3. Suppose -14 = -21*s + 35*s. Determine s*g(l) - 4*m(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*n - 6 = 0. Let u be n*(4 + -2 - 3). Suppose y - 5 = q, 3*y + u*q + q = 29. Let a(d) = d**3 - 7*d**2 - 5. What is a(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 47. Let x = 19 - 43. Let g = x - w. Calculate the remainder when 32 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-8))\/((-30)\/(-1580)). Let w = -19\/3 + o. Which is the closest to 2?  (a) w  (b) 3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3062957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/12 + (-2)\/(-3). Is 11 a factor of ((-7)\/14)\/(k\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxxxag. Give prob of picking 1 g and 3 x.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m - 8. Let g(j) be the first derivative of 4*j**2 + 352. What is n(g(k))?\nAnswer: -24*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of 1\/2*y**2 - 15 - 2*y. Let w = 1 - 4. Determine m(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/5*s**4 - 82668\/5*s**2 + 0 - 996\/5*s**3 - 2287148\/5*s.\nAnswer: -4*s*(s + 83)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00162377796 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-20)\/(-110) - (-53)\/11. Suppose 5*z - 5 = o. Suppose z*h - 63 = -5*l, -3*h + 2 - 1 = -l. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.3 minus 0.13691?\nAnswer: -20.43691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2. Suppose 3*h + 24 = 2*p, p - 3*h - 7 - 2 = i. Let m = -94 + 137. Calculate the remainder when m is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.54*-3.\nAnswer: 4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2893 - 2893.5. Which is the biggest value?  (a) 163  (b) v  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/2*(-3 - 89). Find the common denominator of (-22)\/4 + 1\/4 and p\/(-32) - (1 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 276 and 2.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j**5\/5 - 3*j**4 + 72*j**3\/5 - 21*j**2\/5 - 6*j = 0. Calculate j.\nAnswer: -5, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4 = -2*l, -3*x + 2 + 0 = l. Suppose x*t = 2*t - 4. Suppose 0*h + 5*h - 15 = 0. Solve -5*n + t*i + 2 = -h*n, -10 = -3*n - 4*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 210 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzffzpzzjzzzzczfnz?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 547 is divided by 220?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 7:49 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 314 divide 123283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 10*n**2 + 9*n + 3. Let s be w(9). Let g = 43 - 41. Solve 0 = -s*a + g*p + 17 - 2, a - 9 = 2*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i. Let t(v) = 2*v**2. Suppose -5*u = -5*j - 0 - 20, 0 = 2*u + 5*j - 22. Let a(c) = c**2. Let x(b) = u*t(b) - 15*a(b). Determine y(x(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 22*h - 16. Let l be t(21). Suppose 0*y - l*y - 4*x = -254, 0 = 2*y + 5*x - 105. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from rrxrrsxxxrssx?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/3927*-68*((-1)\/(-12))\/(-1)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -259 or -1299\/5?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 - g - 170 + 564 + 305 + 2*g + 629.\nAnswer: g + 1414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 118*f - 3869 + 1011 - 682 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11109 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11408974?\nAnswer: 2, 5704487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123 + 137. Solve 5*r - 27 = -3*p - q, 2*p - 5*r + 33 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/15 - 274*w\/5.\nAnswer: -2*w*(w + 411)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 14 = -2*j, -5*h + 2*j = 4*j + 23. Let l be (-160)\/h*(-1980)\/(-16). Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*x**4 + 33*x + 263 wrt x.\nAnswer: 12*x**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t + 3. What is g(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of u**5\/10 + u**4 - 3*u. Let s(r) = -2*r**2 - r. Let i be s(2). Let d = -22 - i. Let o(v) = -v**2. What is d*o(f) - j(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01573*0.5923.\nAnswer: 0.009316879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3178.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = b - 2*b + 8, -3*c - 9 = -4*b. Solve -b*z - 11 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1011234 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6 + 80\/(-12) + (-1 - (-8)\/3). Sort v, 3, -2, -120 in descending order.\nAnswer: 3, v, -2, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.11, 0.2, -5, -3.4, 119\/2, 0.7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y. Let i(f) = f**2 + f - 1. Let n be i(-2). Suppose -k + n = 3*h + 4, -4*k = 2*h + 12. Let z(p) = -p + 0*p + h*p. Give j(z(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 1205200255?\nAnswer: 1205200252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.8 - -4. Let k = o + 0. Let g(b) = b - 1. Let d be g(-1). Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 10 = -38. Suppose h = -3*a + 6*a. Solve -2*g - 14 = 5*v, -a*v - 10 = 5*g - 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -220 - 14965 = -251*j - 1631. Let -j*c**2 - 18*c**3 + 8\/3*c + 50\/3*c**4 + 24 + 2*c**5 = 0. Calculate c.\nAnswer: -9, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2\/5, 60494 in ascending order.\nAnswer: -0.1, 2\/5, 60494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 195 = -180. Which is the closest to 0.1?  (a) -0.2  (b) t  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 1303, 4841, 11817, 23377?\nAnswer: 40667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + i + 24. Let c be n(0). Let l(r) = r**2 - 14*r + 13. Let p be l(11). What is the tens digit of (c\/p)\/((-2)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o - 4. Let k be x(4). Suppose i = k, -5*i + 6 + 8 = -c. Let z = 2 + c. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + g**2 - g + 1. Let v(p) be the third derivative of -p**6\/24 + p**5\/10 - p**4\/8 + 5*p**3\/6 - 51*p**2. Determine 3*u(w) - v(w).\nAnswer: 2*w**3 - 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n + 491 = 159*n - 697. Solve -6 + 30 = -n*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v + 3*v - v + 295*v**3 - 5 - 7*v.\nAnswer: 295*v**3 - 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaaj when four letters picked without replacement from qttjatttqqjaqjjqaqa.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of x**4\/4 - 2*x**3 + 4*x - 2. Let t be i(6). Let d be (2\/3)\/((-4)\/(-18)). Solve -5*h - 18 = 4*r - 0*h, 0 = d*r - h + t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + 8 + -3 + -9. Suppose 13*o - 1522 - 4549 = p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5819*q - 3103*q**2 - 5819*q.\nAnswer: -3103*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -310*37\/1480)*15?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 28 = -42 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 11 = 63. Suppose 0 = -4*x - 12, 2*f - 5*x = f + g. Calculate the smallest common multiple of 4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h. Let k(z) = z**3 - 9*z**2 - 48*z - 8. Let o be k(13). Let w be -1 + 32 + 0 + 0. Let i(l) = w*l + 9*l + 26*l - o*l. Give i(g(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = j + 2, 4*j + 2*m - 5*m = 9. Let c = -2 + 3. Calculate the smallest common multiple of j and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 8 = 0, -4*g + 4 = q - 2*q. What is the common denominator of 23\/8 and 1474\/280 - (g - (-80)\/(-35))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 112000313 - -12?\nAnswer: 112000331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 15 - 13 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 102720 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -8. Let n be ((-37)\/a)\/((-2)\/(-36)). Let q = n - -341. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16\/13?  (a) -1  (b) 2  (c) -5\/4  (d) 4  (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-2)*2\/(-3). Let n be -1 - (45 - 3 - o). List the prime factors of (-837)\/n + 2\/5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74 - 83 + 6*p**2 + 9.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 7:47 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 621 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2527988 times 8\nAnswer: -20223904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 510 and 13260?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 12*s + 250*x - 253*x, 4*s = 6*x + 52 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 - 8?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/((6\/(-91))\/(-6)). Suppose 0 = -8*w + 69 + a. Let q = 8 - -2. Calculate the greatest common factor of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*b**3 - 3 + 1 + 7*b**3 + (5*b**2 - 4*b**2 - 2*b**2)*(b + 2*b - 4*b) as p*b**3 + i*b + k + y*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 2*x - 9 = -x, 2*t + 15 = 5*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 81 - 51. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 6\/11, 5, 4, 74?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = -6*k + 322. Let i = 142 - k. Let s = 317 - i. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - -216685?\nAnswer: 216701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 3*p + 3*p)*(0 + 0 - 2)*(-1 - 1 - 1)*(0 + 0 + 1).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -s, 0 = -2*c - 3*c + s + 155. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 <= -8784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 182*q**2\/9 - 2034950*q\/9 + 29816\/3.\nAnswer: 2*(q - 11181)*(91*q - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z**3 - 34*z**2 - 32*z - 8 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1517 - -1520. Solve 2\/3*a - 4\/3*a**4 + 0 + 8\/3*a**w - 20\/9*a**2 + 2\/9*a**5 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -90 + 87. Let g be (-39)\/91 - (-1153)\/28. Let o = g - 40. What is the third smallest value in o, n, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(-a + 0*a - a) + (-6 + 1 + 0)*(a + 0*a + a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/5*156870\/(-22659).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wuuuuuuuw. What is prob of sequence uw?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.85 - -0.15. Let o = -0.3011 - -0.3011. What is the nearest to o in -0.1, j, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -5*b**3 - b**2 - b - 1. Let f be v(-1). Suppose 16 = u + f. Suppose -664 = -4*i - u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -7. Let x(n) = -n + 0*n + 0*n + t + 4*n. What is x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -5.064  (b) 2\/5  (c) -4  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -3*k**4\/20 + 7*k**3 - 192*k**2\/5 + 372*k\/5 + 1403. Factor w(p).\nAnswer: -3*(p - 31)*(p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*h + 195, -5*h = -2*g + 4*g - 186. Let j = h + -66. Let v = j - -32. Calculate the lowest common multiple of v and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2612*a**2 + 729*a - 2. Let z(l) = -5225*l**2 + 1472*l - 4. Let s(x) = -5*v(x) + 3*z(x). Find the second derivative of s(i) wrt i.\nAnswer: -5230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -17*d**3 - 2*d**2 + 3. Let h(z) = -z**2 + z + 1. Determine -2*h(v) + o(v).\nAnswer: -17*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 787107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0325414571 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1232 divided by 13?\nAnswer: 1232\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 - 2*l**4 - l**3 + 0*l**4 - 3 + l**4 + 0*l**4 as g*l**2 + q*l + o*l**4 + b*l**3 + z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -16, -4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w - 70. Calculate the remainder when 55 is divided by b(42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 45959, 45961, 45963, 45965, 45967?\n\"Answer: 2*p + 45957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 151?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, k: 5}. What is prob of sequence gggk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 10\/9*n + 0 - 7\/3*n**3 + 1\/3*n**2 - 11\/9*n**4 + 1\/3*n**5 = 0.\nAnswer: -1, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -677, -1541, -2983, -5003, -7601?\n\"Answer: -289*o**2 + 3*o - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9.068 + 0.068. Let j be -1*(3 + 6\/(-2)). What is the third smallest value in -3, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -1406*y - 7482. Give s(-6).\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from ninnnmmmmiinn?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -11*n**3 - 25*n**2 - 46*n + 36. Let g(h) = 2*h**3 + h**2 + h. Let x(w) = 6*g(w) + i(w). Is 77 a factor of x(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*h**3 - 8065999*h**2 - 127102212 wrt h?\nAnswer: 12*h**2 - 16131998*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(100\/6)*(-10)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 40 = -5*h, 54476*h - 54490*h - 3*c = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 112.644ms in days?\nAnswer: 0.00000130375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/239884583 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42980?\nAnswer: 2, 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -150 - -158. Suppose -z*o - 516 = -20*o. Calculate the remainder when 884\/7 - (-14)\/(-49) is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 84*u**2 + 206*u - 4232. What is d(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (10 + -15)) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -343*s + 19130090 + 1525427 + 15368058. What is s rounded to the nearest 100?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a + r - 170, -2*a + 74 = -0*a - 4*r. Solve -3 = p + 2*s, a*s - 18 = 2*p + 37*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -18\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/(-38) - 15\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 110101010101?\nAnswer: 110101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*j + 2*a, -20 = -5*j - 5*a + 15. What is the units digit of 37 - -3 - (-2 + j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 312 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3166541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 990\/(-90) - 12\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8374566 is divided by 1395754.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 178108382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -404 - -407. Suppose -4*x - 9 = -3*o - 2, -2*x + 4 = 0. Suppose -238 = -o*u - 53. Calculate the remainder when u is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*r = 87*r + 1464. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-4) + (-969)\/6. Let g = 192 + u. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**1)\/(i*i**(-2\/7)*i)*i**(-1\/8)*i*i**11)**(-4\/15) assuming i is positive.\nAnswer: i**(-569\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/468 and -10\/24921.\nAnswer: 99684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 11:54 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/4371360 and -97\/117090.\nAnswer: 13114080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/((-56)\/214572) - 1\/(-2). Let p = -1936 - -5760. Let y = l + p. Find the common denominator of -1\/4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 196 in 3\/7, -0.2, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 477126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76970, -153942, -230914?\nAnswer: -307886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - -1)\/(-4 + (-21)\/(-6)). Let q be 7\/z*(-18)\/21. Suppose 5*a - 405 = -5*u, -2*u = a - q*a - 146. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -4*c - 20. Let l = -582 + 607. Calculate the remainder when f(-23) is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71377*o**4 + 280789*o**2?\nAnswer: -1713048*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 87865, 176236, 264607?\n\"Answer: 88371*h - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -860624 - 0?\nAnswer: -860624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -891, -1769, -2637, -3489, -4319, -5121?\n\"Answer: r**3 - r**2 - 882*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 - 26 + 12 - 48*g)*(-2 - 3 + 3) in the form o*g + v and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 11:58 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 138 = -2*z, 4*n + 150 = 2*z - 4*z. Let m be (-3)\/21 - n\/56. Factor 0*a + 0*a**3 - m*a**5 + 0*a**2 + 0 + 1\/2*a**4.\nAnswer: -a**4*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 270 + -270. Solve 2*q + 0 - 2 = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 3 + 5 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25284 and 753025.\nAnswer: 2719926300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 4*m - 3*m + 15, -3*q = 4*m. Suppose 4*z + 15501 = -z - o, -q*z - 4*o = 12404. Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 144\/9259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 5*w**2 + 6*w + 4. Let l be d(-4). Let a be l\/2*5\/(-2). Suppose 16 = f - 2*f + a*j, -4*f = 4*j - 32. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - a - 2. Let h(s) = s**2 - 7*s + 13. Let z be h(5). Determine x(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1100602.\nAnswer: 2, 37, 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 - 104 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4395281 (base 10) in base 5?\nAnswer: 2111122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/(-176)*0)\/((-4 - 1) + 2). Let k = -5 - -7. Which is the nearest to 3\/5?  (a) -3  (b) k  (c) m  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 2*k - 9, -w - 6*k + 11*k + 3 = 0. Suppose -w*z + 1005 = -0. What are the prime factors of z?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.09, -3\/37, 11 in descending order.\nAnswer: 11, 0.4, 0.09, -3\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (174\/783)\/((-2)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -527\/24 - -65\/3. Let g = -1\/24 - y. Factor g*s**2 + 0 + 1\/4*s**3 - 1\/4*s**4 - 1\/4*s.\nAnswer: -s*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-4) + (-254)\/8. Let o = -13 - r. Let z = 19 + o. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 125 - 77. Let l be (8\/(-3) + 3)*k. Solve -5*i + i - l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -135 divided by -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6397.2706 rounded to zero decimal places?\nAnswer: 6397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1083394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.7 + -13.7. What is the nearest to -1 in -2\/9, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, h: 1, v: 2, a: 4, l: 2, m: 2}. What is prob of sequence mhvl?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and -1762628065986.\nAnswer: -1762628065991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 5*z + 190 = -0*p, -18 = -843*z + 847*z + 134 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**1)**7)**16\/(t\/(t**(2\/9)*t)*t**(-11))**(-29) assuming t is positive.\nAnswer: t**(-1921\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (224\/70)\/(10\/(-25)). Let y(v) = -v - 14. What is y(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -213 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1659.554 years to millennia.\nAnswer: 1.659554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 30\/1470*-14*(-2 + 3 + -50)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1039*w**2 - 566*w**2 - 161*w**2.\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 60*h**2 + 5 - h - 30*h**2 + 20*h**2.\nAnswer: 50*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*l - z + 5*z, 0 = 2*z - 4. Solve 5 = 5*c + 5*t, -4*t = 2*c + l + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 5*t + 3. Let n be k(-4). Let b be -3 + -1 + 9\/1. Suppose b*p + 20 = 0, -5*c + 2*p + n = -29. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 5*z + 3*y, 0 = 4*z - 5*z + 3*y - 3. Let f = -76 - -25. Let h = f + 73. What is the remainder when h is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4*220*(-616)\/1936.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 1 + -16 - -30\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006252081 rounded to seven decimal places?\nAnswer: -0.0000625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*((-44)\/6)\/(-2) - 3. Suppose -c + 45 = n*c. Suppose 28 = b + 2*f - c, -145 = -5*b - 5*f. Solve 10 = -3*m + b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2. Let z(x) = 167 - x**2 - 63 - 36. Give d(z(n)).\nAnswer: -2*n**4 + 272*n**2 - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 865 and 145?\nAnswer: 25085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1170*u = 1166*u + 48. Let f(x) be the first derivative of -3\/2*x**2 - 2*x + 1\/4*x**4 + 0*x**3 + u. Factor f(q).\nAnswer: (q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3809879269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 13 = 5*v. Suppose 5*f = 3*z - 0*z + 43, -5*f = 2*z - 63. Solve v*l + 6 = 0, -2*q + 3*l = -q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 445*p + 449*p - 895*p. Let u(k) = 51*k**2 - 10*k. Determine g(u(l)).\nAnswer: -51*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 8, i: 3}. What is prob of sequence cic?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 191542 and 39170339.\nAnswer: 78340678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -64*l**2 - 35*l**2 - 19*l**2 + l + 9*l**2. Let x be o(1). Let m = -71 - x. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a factor of 302654135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c**2 + 6*c + 5. Give h(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 6*d**2 - d**2 + (-2*d + 3*d + d)*(0*d - 2*d + 0*d))*(-11*d + 13*d + 0*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -1332*m + 5332. Calculate t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r + 9 = c + 19*r, -3*r - 12 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 85545 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 402366.5\nAnswer: 1609466","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*m + 23, 4*m + 47 = 3*t + 18. Let i = -6.2 + 5.8. Which is the third biggest value?  (a) i  (b) t  (c) 6  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5469216 (base 10) in base 2?\nAnswer: -10100110111010000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223 - 26*x - 441 + 218 + 13*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 1:07 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20780671?\nAnswer: 2143, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 11*m**2 + 45*m + 373. Does 7 divide w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -207*a. Let p be j(-4). Is 9 a factor of (-2)\/5 - p\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002169 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 10 - 76*f**2 + 58*f**2 - 24 + f**3. Let m be t(18). Suppose 0 = 7*k + m*k - 517. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21432 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9663*c + 22 = -9668*c - o, 10*c + 4*o + 38 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*407.94.\nAnswer: 1223.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -1641?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = -3*x + 125. Suppose 13*w - x = 63. What is the remainder when 58 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/6 + 133*k**4\/3 - 272*k**3 - 519120*k**2 - 1036800*k = 0. What is k?\nAnswer: -180, -2, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 + -4 + (0\/(-5) - -4). Suppose 2*d - 1730 = -z*k - 0*k, 5*k = -3*d + 1725. Is 58 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0159 and -0.24.\nAnswer: -0.2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6759456 a multiple of 1903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 3:56 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away -0.096587627?\nAnswer: 0.496587627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = -14 - 10. Solve -2*d + 7 = g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -53\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (3 - 4)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -213*s = -207*s - 12. Suppose 4*v - 3952 = 5*h + 29465, -h = s*v - 16705. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 + 8*m - 18 + (2*m - 2*m + m)*(-1 - 5 + 4) - 2*m - 2 + 2 - 37*m + 3552 - 3552 as h + r*m and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 3*y + 337 = -2*x, -3*x - 103 = -y. Let k be y\/(-75) + 1\/(-3). Let a = k + 136\/105. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 5\/83864143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*d**2 + 541\/4 + 271\/2*d.\nAnswer: (d + 1)*(d + 541)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -139*g - 60. Calculate d(2).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, m: 2, y: 3, x: 4}. Give prob of sequence my.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is 1.4 + -899?\nAnswer: -897.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33221 is divided by 6644.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o**2. Let a(p) be the first derivative of p**3\/3 - 1. What is a(s(b))?\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/1113200 and -89\/70.\nAnswer: 7792400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13933*z**3 - 13444.\nAnswer: 41799*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w + 24 = -8*w + 2. Sort 5, -82, -11, -5, w in ascending order.\nAnswer: -82, -11, -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (336*s + 3780*s + 3054*s)*(-1 + 0 + 0)*(-5 - 1 + 4) to r + m*s and give m.\nAnswer: 14340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/8 and -101\/2106.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 112829, -153, 3 in descending order.\nAnswer: 112829, 5, 3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/5*(-1)\/2*3885\/777.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/17*o**2 + 8\/17*o + 6\/17.\nAnswer: 2*(o + 1)*(o + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5*k = 0. Suppose 4*s + 8 - 43 = -5*f, k = s + 5. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t**4\/2 - 93*t**3 - 993*t**2\/2 - 1172*t - 1032 = 0. What is t?\nAnswer: -4, -43\/13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -7 + 59*s**3 + 8 - 1 - s**2 + 2*s. What are the prime factors of l(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9093 - 4?\nAnswer: 9089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g**2. Let r(p) = -p. Let s(i) = 8*i. Let l be (4\/6)\/(14\/(-105)). Let f(x) = l*s(x) - 35*r(x). Calculate f(h(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2\/7 + 54*d\/7 - 52\/7 = 0. What is d?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 342 divide 5807380793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218338 to the power of 1\/2, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 5. Let k be -10*1\/w*1. Solve -2*r - g = -6*r - k, 3*r = 5*g - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11397 and 30102.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tto when three letters picked without replacement from ttooottotoott.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + 9 + 0 - 5) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13397 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(13))*4 + sqrt(13) + sqrt(13) + -2 + 1)**2 + (sqrt(143)\/sqrt(275) - (-1*sqrt(1872))**2))*-2.\nAnswer: -842*sqrt(13)\/5 + 2710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + t**2 + t + 9. Let x be s(0). Let h(g) = -g**3 + 9*g**2 + 10. Let v be h(x). Let z(m) = v*m**2 - 9*m**2 + m + 0*m - 4*m + 1. Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14080965557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**3\/3 + 11*u**2\/2 - 26*u - 47. Let g be i(-13). Suppose p - 3*k + 7 = k, p + 2*k - 5 = g. Do 8 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44*q**2 - 562 + 562)*(21*q + 19*q - 31*q).\nAnswer: -396*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1528, 3057, 4586, 6115?\n\"Answer: 1529*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 297260917 and -0.2?\nAnswer: -59452183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 6:59 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 9*s + 94. Suppose -5*b + 10*b = 2*v + 13, 0 = 5*v - b + 44. Let n be a(v). Let x = -1 - -2. Calculate the greatest common divisor of n and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 857854 is divided by 7395?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 651250 is divided by 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/271?  (a) -5  (b) 0.060569  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 - 6*a**2 + 5*a + 4. Give v(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, -10, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (0 + (-12 + 8 + -3 - 20))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*h + h. Suppose 4*y = 27 + h. What is the remainder when y is divided by -1 + 0 + 4 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-160)\/104)\/10)\/(-4*2\/(-32))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -55\/2, -2\/13, -273\/8 in decreasing order.\nAnswer: 5, -2\/13, -55\/2, -273\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31 + -17. Let a = -14.09 + k. Let t = a + 0.0899912. Round t to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 52. Let l(t) = 3*t**2 - 16*t - 8. Is l(v) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 725461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 2*h + 12 = 0. Suppose -9 = v - 0. Let o be (-20)\/(-6) - (-3)\/v. Are h and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -10*q**3 + 5*q**2 + 42*q - 45. Determine h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p - 519519 = -20*p + 136917. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4484 and 36?\nAnswer: 40356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from xnwxnxqxqqw?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n\/n**(5\/6))\/n)\/(n**(3\/2)\/n))**(-16) assuming n is positive.\nAnswer: n**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 84953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 6. Let y be i(-7). Suppose -2*c + 12 = 2*c. Is (c + y)*57\/6 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459557333 a multiple of 9101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -115, -115, -101, -67, -7, 85, 215?\n\"Answer: n**3 + n**2 - 10*n - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 u when three letters picked without replacement from {u: 3, v: 1, j: 1, q: 2, f: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 254 + -243. Let u = 323 - 224. What is the greatest common divisor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(9\/5)*q*q)\/(q**13\/q))\/(q*q**(8\/5)*q)**33)**(2\/67) assuming q is positive.\nAnswer: q**(-254\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4731 = 632*c - 3485 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-20)\/(-8)*(-6)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 9:53 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13941.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -42, -37, -32, -27?\n\"Answer: 5*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -3*m**3\/2 + m**2\/2 + 2*m. Calculate the remainder when 28 is divided by p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -28*c - 92. Let j be o(-6). Let q = 39 - 20. Calculate the greatest common divisor of j and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10266.27566 to 1 dp.\nAnswer: 10266.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*sqrt(272)*1)**2 - (-6*(-2 + sqrt(425) + 5))**2.\nAnswer: -14536 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-5 + 6 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -236 - -142. Let c = -56 - s. Let z(q) = -q + 13. What is the remainder when c is divided by z(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*32\/12)\/(2\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.532 + -0.998. Let s = h + 2.53. Let y = 15.2 - 14. Which is the second smallest value?  (a) -5  (b) s  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5657 and 5688 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -127 in decreasing order.\nAnswer: 0, -1, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 233485 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.133 from 1250183.\nAnswer: 1250183.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 244*z**2 - 1071*z + 81618. Give j(247).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 9*r**2 + 15*r - 29. Is i(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100 (base 2) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 589619*c**3 - 1179694*c**3 + 590063*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 19*l**3 - 659*l**2 - 11. Let q(n) = -27*n**3 + 988*n**2 + 16. Calculate -7*a(b) - 5*q(b).\nAnswer: 2*b**3 - 327*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(24) - (sqrt(24) - sqrt(24)*1)) + sqrt(24)))\/(sqrt(24)\/(sqrt(8) - sqrt(2))) + 3.\nAnswer: -6*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*n + 15*n - 9. Suppose -2*x + 5*h + 85 = -115, n*h = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -y**5\/60 + y**4\/2 - y**3 + 9*y**2. Let j = 176 + -165. Give c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 143813940 divided by -11820\nAnswer: -12167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - z - 1. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -815*s**3 - 181*s**3 - 346*s**3.\nAnswer: -1342*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - n - 1 = 0, 5 = -u - 3*n + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 200198 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 111011011101010 (base 2) in base 14?\nAnswer: b146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/7)\/(558\/434)*9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*a - 24 = 0. Suppose a*w + 20 = 24. Let x(y) be the first derivative of -3*y**4\/4 - y**3\/3 + y**2 - y + 2. Give x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -41b + -77?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.68 + -1.5. Let l = -0.08 + o. Let r = -0.06 - -0.36. Which is the smallest value?  (a) r  (b) l  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 365*g - 10989*g**2 + 305*g - 670*g as o*g**2 + i*g + h and give o.\nAnswer: -10989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7765*f**2 - 5722*f**3 - 4289*f + 2168*f + 2121*f wrt f.\nAnswer: -34332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 = 5*a + 33. Let r be 1 + 3 + (-11 - (7 - a)). What is the greatest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 8*g**2 + 6*g - 7. Let p be v(-7). Let r = 4 - p. Solve 0 = y + 2*n + 3, -2*y - 6 = -r*n - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(21 - 66\/3) + 1 + 51\/(-27).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o**5 + 6570*o**4 - 6618*o**3 - 98664*o**2 - 151209*o - 65730 = 0.\nAnswer: -2191, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = p + 2*d + 2, -2*d = -2*p + 18. Suppose -p*y = -17*y. Suppose y = -m - 16 + 79. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -89246819*q**2 + 31100981?\nAnswer: -178493638*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -7. Let v(m) = 2*m**3 + 22*m**2 + 51*m + 26. Let a be v(-8). Let i be 2\/(-4) - 10\/(-4). Solve -i*f = -4*x - 2, -f + x + a = -u*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r - 3. Let y be f(3). Find the common denominator of (-95)\/12*(-12)\/y and 55\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17637 + -12963197\/735. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**3 - 500340*j**2 + 116310085*j - 230618850 = 0. What is j?\nAnswer: 2, 231, 99835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.209642 millilitres in litres?\nAnswer: 0.005209642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/228*(-18)\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 649*k + 692. What are the prime factors of x(5)?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293 + 59 = -9*y. Suppose 0 = -5*c, y*a + 5*c = 23*a + 6. Factor 2\/3*p**a + 0*p - 2\/3.\nAnswer: 2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -11*j + 58. Let h be l(5). Suppose 4*f = -0*k - 5*k + 616, 462 = h*f + 4*k. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54996 - 24974. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(153))**2 - (sqrt(17) + (sqrt(187)*2)\/sqrt(11) - sqrt(17))**2)*6.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 20.09  (b) 1441  (c) 4  (d) 9  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 53. What is the highest common divisor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-3 + 3 - (4 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -y + 5*n - 6, 2*y + 2*n = 4. Find the common denominator of 220\/(-16)*y\/(-25) and 27\/(-20) + (-32)\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f - 4. Let l(g) = 2*g + 5. Let h(k) = 4*l(k) + 5*m(k). Let q(x) be the second derivative of 2*x**3\/3 + 19*x + 2. Determine h(q(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 84 = 3*u, 3*u + 5*j - 37 = 45. Suppose 4*d - 538 - 274 = 0. Calculate the highest common factor of d and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 95286617995291?\nAnswer: -95286617995291.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -2709420.\nAnswer: 1\/225785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (-2 - 0) + -6 + (-69 - 14).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0)**(-6)*a*a**(-33)*a*a**(-3\/8) assuming a is positive.\nAnswer: a**(-251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -6*d**5\/7 + 2272*d**4\/7 - 20938*d**3 - 14206492*d**2\/7 + 69470392*d\/7 + 24729840\/7 = 0?\nAnswer: -54, -1\/3, 5, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 248452, 993807, 2236066, 3975229, 6211296, 8944267, 12174142?\nAnswer: 15900921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)*-3*-2 + sqrt(242) + 2 + 3)**2.\nAnswer: 770*sqrt(2) + 11883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -62 + 95. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 12*p + 1. What is the remainder when -12*((-11)\/4 - -1) is divided by d(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of k**2 - 45. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 - -95. Let f = 5888 + -5881. What is the lowest common multiple of f and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 83 - 49. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.404602ml?\nAnswer: 0.007404602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 165 + -109. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -4*j - 10. Let o(g) = -8*g - 20. Give 3*o(l) - 7*q(l).\nAnswer: 4*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 4*z = -20, 2*w - 2*z - 2 = -4. Solve -l - 7 = -k - 5*l, 3*l - 9 = -w*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34.1 + -34.0999436. Round w to six dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -324*r + 78*r - 61*r - 139*r + (-2 + 1 + 4)*(4*r + 0*r - 3*r) + 0*r + 2*r + 4*r + 0*r + r + 0*r.\nAnswer: -436*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3)*(-7 + 3 + 3)*(-6*p + 3*p + 5*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/5*(-30)\/4. Suppose -3*c = -0*u - 2*u + 23, 0 = -c + 5*u + 1. Let q = k - c. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 60735 or 60629?\nAnswer: 60735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 655 + -654. What is the third smallest value in -1, i, -1\/8, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 62  (b) 17.74  (c) 7  (d) -4  (e) -10\/19  (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(1\/2))\/(c\/(c*c**(-2\/13)*c)*c*c*c) assuming c is positive.\nAnswer: c**(-43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**3 - 2*z**2 - 18*z - 29. Let y(u) = -u**3 - 14*u**2 - 11*u + 15. Let w be y(-13). Is k(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 8. Let v = 0.37875 - 0.37875. What is the fourth biggest value in i, 2, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + -2)*-1 - (1 + -2). Let z(s) = 21*s**2 - 11*s + 1. What is the tens digit of z(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25646297 to the power of 1\/2, to the nearest integer?\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 16. Let d = -12.1 + j. Put d, -1\/4, 3\/7 in descending order.\nAnswer: 3\/7, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 754*n + 5348 + 19909 = -3395 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 AM and 8:11 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from jzrjjzwrrrrrjzrj?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 3*o - 12 = 0. Suppose o*n + 42 = 9*n. Is 32 a factor of 4\/n + 726\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**4\/7 + 8802*p**2\/7 + 24840*p + 729000\/7 = 0.\nAnswer: -54, -15, -6, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -1817?\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 4, 118.\nAnswer: -4, -1, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**3 - 21*f**2 + 15*f - 55. Let o be z(11). What is the greatest common factor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5*(((sqrt(612) + sqrt(612)*1)*3 - sqrt(612))*-2 - 4*(3 + sqrt(612) + 4*sqrt(612))))**2.\nAnswer: 115200*sqrt(17) + 13774096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/18 - -47\/90. Let j = 4.1 + -1.1. Let x = 3.1 - j. What is the smallest value in h, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -7*k**3 - 11*k**2 - 9*k - 10. Let f(g) = g**3 + g**2 + g + 1. Let r(t) = -6*f(t) - n(t). Let x(w) be the first derivative of r(w). Factor x(b).\nAnswer: (b + 3)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1246.8486 - -1247. Let z = a - 0.151399139. What is z rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 141 + 22422?\nAnswer: 23113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**8\/112 + 29*u**7\/105 + 19*u**6\/120 - u**2 - 52*u. Factor g(j).\nAnswer: j**3*(j + 19)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0041 - 232.9959. Let y = g - -233.3. Which is the nearest to 0?  (a) 2  (b) y  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33 + 33 - 10*j)*(-2 - 8 - 11)*(-4 + 2 + 3)*((-5 + 2 + 1)*(-2 + 1 + 0) - 8 - 4 + 2) - 2*j + 7*j - 2*j to the form t*j + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*p**3 - 17*p**3 - 35*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*f + 8*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -2*o + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -927814086 and -1.4096.\nAnswer: -927814087.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 849811 and 27263.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*i**2 - 4*i**2 - 111*i + 0*i**2 - 20*i - 76*i to y*i + b*i**2 + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3645 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -10, 0 = -3*s + s - 4*x + 58. Suppose 0 = -t + 1 + 5. What is the remainder when s is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3724267 rounded to the nearest one thousand?\nAnswer: -3724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 76 = 5. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p**6 - 63*p**4*w**3 + 3*p**2*w**3 - 18*w**3 wrt p?\nAnswer: 240*p**3 - 1512*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -10*z - 45. Let f be l(-4). Let r = -6 - -2. Let i(s) = -s**3 - 5*s**2 - 2*s + 5. Let c be i(r). Sort c, f, 5.\nAnswer: f, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 5*f - 90. Let m(d) = 0*d**2 + f + 4*d**2 - 15 + 4*d + d**3. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 635*u**2\/4 + 341675*u\/4 + 509655\/2.\nAnswer: 5*(u + 3)*(127*u + 67954)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -9. Let l be (3 - 6) + 1 + x. Let y be (-30)\/l*24\/(-20). Solve 0 = y*z + 21 - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 23411006.\nAnswer: 5\/23411006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/5)\/(n**13*n))\/((n\/n**(4\/9))\/n**(-1\/7)) assuming n is positive.\nAnswer: n**(-4819\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -11. Let b = 1.1496 - 0.0496. Are x and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-690)\/621 - 682957\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277981787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/2785804 and -5\/6765524.\nAnswer: 47358668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -7*y**6\/6 + 9*y**2\/2 - 18. What is the second derivative of f(a) wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 718*q**4 + 184*q**2.\nAnswer: 17232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2\/4 - 105*w\/4 - 27.\nAnswer: 3*(w - 36)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r + 0*r + r)*(-262*r**2 + 111*r**2 + 114*r**2) + (9 - 9 + 5*r)*(r**2 + 1 - 1) - r**3 - 4*r**2 + 4*r**2 to n*r**2 + g*r**3 + v*r + s and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - -36. Let w = -49 + t. Solve w = 4*d - 0*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494340\/26 + 19 + (-2976)\/156?\nAnswer: 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -3  (b) 6  (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 81, 133, 167, 177, 157, 101?\n\"Answer: -w**3 - 3*w**2 + 68*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 3*z + 10)*(3*z**2 - 3*z**2 + z**3) - 856*z**4 + 1941*z**2 - 1941*z**2.\nAnswer: -853*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2903 a factor of 201796239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -482*k + 979 - 497 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20101110000 + -2001102?\nAnswer: -20110111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 79719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 29692 = 4*k + 6620, -n = -4*k - 12112. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 446 is divided by -8 - -93 - 3\/((-9)\/15)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2 + 14 = 0. Suppose 10 = 6*u - u. Let q = u + z. Put -1, -4, q in descending order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1127191353 from 117.\nAnswer: 1127191470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (-9 - -7)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-30)*(13 - 10). Let y = 147408 - 147395. Let q be 4\/5*(-3)\/6. Which is the closest to o?  (a) 4  (b) q  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 218948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/2)*n\/n**3*n*n*n*n*(n\/(n*n**(-3\/4)))\/(n**(-1\/5)\/n))**39 assuming n is positive.\nAnswer: n**(2691\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18468*p - 28340 = 18403*p. Calculate the highest common factor of 44 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 12:02 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 2*t**2 - t + 10. Let r be 0\/((-4)\/((-4)\/1)). What is the remainder when 17 is divided by y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4 and -63\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 * 66365\nAnswer: 46455.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*9\/12)\/(3\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 832741 + -0.038485.\nAnswer: 832740.961515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 51 + -54. Let k be 2\/(-3) - c\/(-9). Put k, 5, 1, 0 in ascending order.\nAnswer: k, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*y - 4 = -3*z, 2*z + 4*y - 4 = 0. Suppose z*p = 4*p + 68. Let x = p + 39. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4 - 38*n**2 - 60*n**2 + 12 - 6*n + 117*n**2. Is 13 a factor of f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 3*g**3 - 983184*g**2 + 80554231488*g = 0?\nAnswer: 0, 163864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 0.095?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {a: 2, b: 4, e: 1, i: 4}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 4 = 2*c - 12, -m = 4*c - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -36 + (79 - -35 - 51)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 129368 and 752.\nAnswer: 12160592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 1 - 4. Let q be (3 - 0\/t)\/1. Solve -2*a = -q*a - 3*o - 10, -4*a - 4*o - 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 436 and 3324?\nAnswer: 362316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 1. Suppose 5*u = n*g - 31, -1 = 3*g + 5*u + 2. Let w be -3*(-3)\/27*(2 + -3). Which is the third biggest value?  (a) w  (b) -2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -533623 + -16?\nAnswer: -533642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 174*x**2 + 3*x + 10. Let m(g) = 4*g + 2. Let y be m(-1). Let b be s(y). What is b rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 233 - 14016?\nAnswer: -13563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6298*w - 1581*w - 1566*w - 1578*w - 1575*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d**2\/5 - 21*d\/5 + 6\/5 = 0. What is d?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7705 is divided by 72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2333012334 (base 5) in base 9?\nAnswer: 11070007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 7:19 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/(-84)*(-286)\/(-13). Let x(q) = 2*q**3 + 7*q**2 + 9*q. Let i(b) = b**3 + 4*b**2 + 5*b. Give k*i(r) + 6*x(r).\nAnswer: r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6 + 37 - 19 - 3*l. Give p(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 f when four letters picked without replacement from rrfrrfhhfrrf.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooozzyspzoofos. Give prob of picking 1 p and 2 z.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1\/((-77)\/90607*4\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 5*j - 81, 4*w - 76 = -3*j - j. What is the remainder when 33 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13935870 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -238.7706154 + -1.6977884. Let d = u - -559.4684205. Let x = d - 319. Round x to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/9)\/((-658)\/141)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/10*783\/58)\/((-18)\/(-48))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.05 + -11.05. Let o = -12 - y. Which is the closest to 0?  (a) -4  (b) o  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 17*p + 21. Let f be j(18). Suppose z + 2*n - 16 - 32 = 0, f*n - 254 = -5*z. What is z rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -7\/80*j**5 + 1\/280*j**7 + 0 + 3\/80*j**6 - 1\/224*j**8 + 0*j - 2*j**2 + 1\/16*j**4 + 0*j**3. Find g such that x(g) = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -24*f + 5. Let q be n(0). What is the highest common divisor of q and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 14*o - 34. Let p be s(18). Is p\/(2*((-20)\/(-6) + -3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 15 = 0, -4*v - g = -2*g - 33. Calculate the highest common factor of 153 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**3 + 338784*b**2 - 2371316*b + 2032536 = 0. What is b?\nAnswer: 1, 6, 84689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + -15. Let l(a) = -a**2 - 11*a + 9. Let k be l(-12). Sort k, 2, d in ascending order.\nAnswer: d, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qrjvvqm. Give prob of sequence mj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.412379 years?\nAnswer: 0.0412379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 50)*1 - -1. Suppose -5*r + 5*z = -140, 4*z - 5 = r - o. What is the greatest common factor of r and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.08  (b) 3\/2  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 503912?\nAnswer: 2, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = 5*r - 198. Let a = 20 + r. Let n be 2\/3 - (-176)\/6. Calculate the greatest common factor of n and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 141413617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 170368 by -22.\nAnswer: -7744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -548, -947, -1346, -1745?\n\"Answer: -399*k - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16067*z**2 + 111*z - 45 wrt z?\nAnswer: 32134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18365 (base 10) to base 13\nAnswer: -8489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 807 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.609591179 to five decimal places.\nAnswer: -0.60959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/832 and 133\/1107756.\nAnswer: 17724096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31715656 and 234472?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1539019161031 less than 31?\nAnswer: 1539019161062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*j - 4*q, -3*j + 0 = -q - 2. Let h be (8\/(-36)*-3)\/j. Let x be (-4 + 3 - -5) + 1. Which is the nearest to h?  (a) -1\/4  (b) x  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rarr when four letters picked without replacement from {r: 3, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 0*q**2 + 0 - 2*q + 2 + 2*q**2. Let k be (0 - -5) + -6 + 4. Let w be o(k). Solve -6 = -4*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -18*n**2 + 6*n + 24. Let i = -6 + 7. Let c(g) = -g**2 + 1. Let x(v) = i*f(v) - 15*c(v). Factor x(h).\nAnswer: -3*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131 = m + 3*j, -5*j - 592 = m - 5*m. Calculate the remainder when m is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g + 11458 - 11893 = -2*g. Solve g*v - 8*v = -63 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 841*j**2 + 331*j + 19. List the prime factors of u(4).\nAnswer: 3, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7584 and 561.\nAnswer: 1418208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o = 16*o + 147*o - 12415. Solve o*v = 46*v - 38 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4*o + 28, 0 = -2*n - 5*o + 4*o + 13. Suppose 1\/3*k**2 + 0 + 0*k + 0*k**3 - 1\/3*k**n = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 15290663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7130 - -4?\nAnswer: 7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 26\/(31772\/(-39))*4*1\/(-3)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4198 and 12.\nAnswer: 25188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 692 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -509*a - 309*a + 113*a - 703*a.\nAnswer: -1408*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 156435546 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 4*t, 0*i - 4*i = t - 45. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/816 and 65\/6144.\nAnswer: 104448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*g - 4 = 0. Suppose 2*m - 916 = g*w - 28, -2*w + 1340 = 3*m. Suppose 5*y = 359 + m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 812745491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24218 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 76. Let w = -921 + 928. What is the highest common factor of b and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4 - 4 - 1. Let s(u) = -23*u - 23 - 27 - 20 + 93 - 30. Let x(a) = -49*a - 14. Let w(d) = 13*s(d) - 6*x(d). What is -5*b(i) + w(i)?\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2 + 2. Solve 2*l - i*r + 2 = 0, -2*r - 2 = 4*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h - 3*h + 2*h + (1 - 3*h - 1)*(5 - 1 + 1) + (1 - 3 + 4)*(-5*h + 7*h + 3*h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1394)\/(-68)*(1 + 21). Let v = 1085 - d. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -0.023  (c) -1\/8  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -918 = 51*t + 3*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -66*o + 10 + 59. Let c = -3.5 - -3. Sort -4, c, o in decreasing order.\nAnswer: o, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 568 divided by -142.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -498 - -3?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/60*5*(-45)\/(-25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/2)\/(-5)*(-20)\/6. Solve -3*i + r = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 highest common divisor of 80 and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/10)\/h**0)**10)**(-44) assuming h is positive.\nAnswer: h**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1698 - 1697.5. Which is the second biggest value?  (a) 6  (b) r  (c) 44  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -109.40474 rounded to 0 dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -3  (b) -4  (c) 3\/8  (d) 3  (e) 36\/13  (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 3 - 3)*(1 - 2*w**2 - 1) - w**3 - 2*w**3 + 2*w**3 - 4*w**2 + 4*w**2 + 41720*w**3 - 41722*w**3 - 2529 to z*w**2 + a*w + k*w**3 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 226658735 to the nearest integer?\nAnswer: 15055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = 1107*q - 552*q - 544*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 3*b + 30, 20 = -2*v + 2*b + 3*b. Let k(q) = -q**2 + 2*q. Let x be k(2). Suppose x = 4*w + 22 - 18. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 41  (b) -1\/3  (c) -3  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j**2 - 4*j**2 - 2*j**3 + 11*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) + (sqrt(102) - -3*sqrt(102)))*-6)) + sqrt(102) + 3*sqrt(102)*3)\/((5*sqrt(12)*-1)\/(-3*sqrt(10)\/sqrt(5))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 2:57 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, f: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 2:58 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {b: 3, m: 1, a: 2, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -89*u**3 + 3*u - 3. Let c(z) = 3381*z**3 - 115*z + 115. What is -3*c(x) - 115*l(x)?\nAnswer: 92*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 2*r**5 + 27*r**4\/2 + 20*r**3\/3 - 477. Find j such that o(j) = 0.\nAnswer: -5, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -6*l**3 + 5*l**2 + 15*l + 5. Calculate the remainder when 168 is divided by n(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r + 125 = -52*r + 185*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 112442 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -191, 3182, 0.3, -4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of c**4\/6 + 35*c**3\/9 + 7*c**2\/3 - 17*c + 566. Determine n, given that h(n) = 0.\nAnswer: -17, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*q - 1955, 2*o = 21*q - 17*q + 782. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3288 or 1654?\nAnswer: 1654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 617447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1341143 (base 9) in base 10?\nAnswer: -735681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 - -58. Let o = n + -27. Sort -1\/3, o, 2\/13, -0.2 in decreasing order.\nAnswer: 2\/13, -0.2, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of 0*h + 3\/20*h**5 + 0 + 0*h**4 + 0*h**3 + 9*h**2. Let a(r) = 5*r**2. Give l(a(d)).\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.78 + -0.7. Let q = m + 0.02. Let c = -0.2 + q. What is the second biggest value in 4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -512, 0.32, -4 in increasing order.\nAnswer: -512, -4, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*d + 14 - 18 = -27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from kkvvkk?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 15881116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000113 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33200 and 132?\nAnswer: 1095600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from fygfgxryggygyygzz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 74 - 71. Solve 0 = -o*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.03 plus -0.12?\nAnswer: 29.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(832) + -2 + 3*(2 + sqrt(13)) + sqrt(13) - ((sqrt(325) - (2*sqrt(325) + -4))**2 + ((-3*(sqrt(325) + 0))**2 - sqrt(325))).\nAnswer: -3262 + 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (8\/5 - (-148)\/370)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-15)\/(-9))\/(2\/(-12)). Let r = -4 + f. Let j be (-496)\/(-28) + (-4)\/r. Solve -4*h - 2*a = -a - j, 3*a + 2 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 123*y**2 - 13*y - 15. Let u = 7 + -18. Let d be k(u). Suppose 24589 + d = -3*a. Round a to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 + 3*m - 2. Let l(s) = s**2 - s + 1. Let b be 2\/(8\/(-12))*-3. Suppose -4*p + b = -7*p. What is p*k(r) - 7*l(r)?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 - -40. Let f(v) = -2*v**3 - 4*v**2 - 5*v - 2. Is 13 a factor of f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/20 + (-19)\/(-5). Let c be (-12)\/(-16) - 3\/r. Find the first derivative of 5 + 5*o + c - 3 wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*g, -2*g = 6*a - 2*a - 6. Solve -a - 2 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7161 (base 8) to base 7\nAnswer: 13531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 655.8816 kilograms in milligrams?\nAnswer: 655881600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(128))\/sqrt(8)*2*3)\/(((-1*sqrt(192))\/sqrt(6))\/(((sqrt(36) - sqrt(4)) + sqrt(4))*-3)).\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 2*i = -y - 55, -43*y + 2*i - 22 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 112395780 a multiple of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 558 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39819 is divided by 262.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 43403*q**2\/3 + 173615*q\/6 + 1.\nAnswer: (q + 2)*(86806*q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-4 + 21) - -18 - -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 12, t: 1, u: 7}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*d**2 - 8*d - 5*d + 14*d - 19*d + 34*d**2 - 2*d**3.\nAnswer: -2*d**3 - 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 529*h**2*v - 48248*h**2 + 15444281*v with respect to h.\nAnswer: 1058*h*v - 96496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -19, -17, -15, -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/((2 - 1)*-2). Suppose 0 = y - b*y + 215. Let o = 2 - y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470863821 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 16849000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/sqrt(8))\/sqrt(11) + (sqrt(3) + -3)*6.\nAnswer: -18 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 8*l**3 - 4*l**2 - 5*l - 4. Let d(r) = r**3 - r**2 - r - 1. What is 4*d(a) - n(a)?\nAnswer: -4*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4*p + 13 = 0, -4*p = h - 2*p + 11. Let b(c) = -c**3 - 2*c**2 + 7*c + 7. Calculate b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -1\/3  (b) -168  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 865488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z = 3. Solve -2*g + z*g - 30 = -5*i, g + 5 = 2*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -5\/3, 0.1, 0.4, -4\/5 in decreasing order.\nAnswer: 0.4, 0.1, -1\/2, -4\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2162 - -4?\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*w + 38 - 5. Let t be (-2 + w - -24)*(7 - -1). What is the highest common factor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 9*k**4 - 1065*k**3 + 333*k**2 + 2493*k - 1770 = 0.\nAnswer: -5\/3, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 + -42. Which is greater: b or 2\/71?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 971\/44 - 89\/4. Which is the nearest to 2\/7?  (a) 2\/13  (b) -2\/3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(4\/9)\/o)\/(o*o**15))**(-24) assuming o is positive.\nAnswer: o**(1192\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -661231189.5 rounded to the nearest one hundred thousand?\nAnswer: -661200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11455568?\nAnswer: 2, 715973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89669336 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -33. Let p(t) = t**3 + 7*t**2 + t + 10. Let m be p(-7). Suppose -2*l = z + m*z - 22, 2*z = 4*l + 26. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -3*l + 191, -4*o + 4*l + 138 = -l. Is 37 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -539869\/9 - -276467\/6. Let w = -16442 + 30343. Let q = w + f. Calculate the common denominator of q and 5\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*r = 1, 3*c + 0*c = 2*r + 13. Let s = 219 - 219. Let t be 2\/2*15 + s\/26. Solve 3*l + 12 = -z, 3*z + t = -c*l + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20500 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhhm when four letters picked without replacement from {u: 1, m: 2, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 2 - 3 - 3*t - 2*t**2 + 3. Let w be q(-3). Let o be ((-1)\/2 - w)*-2. Solve 0*g + o = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kweipsk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 1 + -50 + 61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 836a8 (base 11) in base 15?\nAnswer: 26210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 142\/121449, 0.4, -1\/8 in ascending order.\nAnswer: -1\/8, 142\/121449, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + -5*sqrt(300)*1 + 5 + sqrt(300)*2)*-4 + 3 + (sqrt(300)*-2)**2 + sqrt(300) + 2*sqrt(300) + 0.\nAnswer: 110*sqrt(3) + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o. Let f(n) be the second derivative of -n**4\/6 + 59*n**3\/6 - 9*n**2 + 728*n. Give d(f(h)).\nAnswer: 4*h**2 - 118*h + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33.1 + -7.9. Let q = 29.028 + -0.028. Let a = q + l. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126480 is divided by 493.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -21175, -84689, -190549, -338755, -529307, -762205, -1037449?\n\"Answer: -21173*a**2 + 5*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -21 and 102?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 418\/26 + 9 + -1 + 210\/(-26). Solve -d + 5*x + 16 = 0, -92*d + y = -88*d - 4*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 3162.\nAnswer: -5\/3162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/5, 2, -2, 1147, -10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + c = 7, g + c = 2*c - 2. Let k(t) = 4*t + 2. Let s(j) = -j. Let i(d) = g*k(d) - 5*s(d). What is the remainder when 91 is divided by i(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z - 36. Suppose -6*r + 46*b = 47*b + 56, 2*r = 5*b - 8. Calculate y(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3603*d**4 - d**2 - 6*d - 1178020 wrt d?\nAnswer: 14412*d**3 - 2*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-24))\/(28644\/36828)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 449608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 3317213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 12 = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.0107 and -159.\nAnswer: 478.7013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (34 - -1) + -6 + -3. Suppose w - a = -22. Factor w - 17\/2*d**3 - 6*d - 3\/2*d**4 - 15*d**2.\nAnswer: -(d + 2)**3*(3*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1911, -4\/3, -2\/103, 1 in decreasing order.\nAnswer: 1911, 5, 1, -2\/103, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 26693641?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/15 + 2\/10. What is the closest to -1\/4 in -0.5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n + 0*n**3 - 45*n**4 + 380*n**2 + 7 + 14*n**4 - 2*n**3 - 380*n**2 in the form l + z*n**2 + h*n + b*n**3 + o*n**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17.703732 and 5?\nAnswer: 22.703732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 7:58 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27403.\nAnswer: 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of g**4\/12 + 5*g**3\/6 + 3*g**2\/2 - 3*g + 4. Let r(v) be the first derivative of f(v). Is r(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*g = 3*o + 35*g + 1, 2*g = -4*o + 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1b8 (base 16) to base 6\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 - 2)*(4*k**3 + 0*k**3 - 3*k**3) + (2 + 1 - 4)*(3*k**3 + 5 - 5).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) -1\/4  (b) 515\/7  (c) 0.05  (d) 4  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 22. Let j = 12 + m. Calculate the highest common divisor of 33 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38781 and 1612.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -12*h**3 + 75*h**2 - 4*h + 9. Let r(l) = -45*l**3 + 300*l**2 - 15*l + 35. Determine -3*r(m) + 11*x(m).\nAnswer: 3*m**3 - 75*m**2 + m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -170\/7, 2, -0.43, 0?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -25. Suppose p*r = 20*r - 300. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 26*q - 233. Let n be f(11). Suppose n*c = 30*c + 460. Solve -2*x = -7*x - c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (25 + (16 - (23 - 39)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 24764634*o - 153321774288489.\nAnswer: -(o + 12382317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 - 5*i**2 - 8 + 0*i**2 - 2*i**2 + 0*i**2 + (-i + i + i)*(-28 + 28 + 16*i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29739 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4954752, 9909506, 14864260?\n\"Answer: 4954754*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-6)\/(-1))\/(-1) + 2145 + 135?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uyuye. What is prob of sequence uuey?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 321049, 642122, 963195?\nAnswer: 1284268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, x: 1, o: 6, w: 3, a: 3}. What is prob of sequence wex?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**6\/360 + c**5\/60 - c**4\/36 + c**2. What is b in o(b) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 12*a - 9. Let r be i(-13). Suppose 0 = 4*d - 6*d + l + 9, 5*d - 24 = r*l. Solve 0 = d*t, 10*c - 5*c + t + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1120220130 (base 4) to base 14.\nAnswer: 96432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 1:48 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4526*d + 4529*d + 2*d**3 - 5*d**2 - 2 + 3. What is i(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37*g**2*u - 63*g**2*w - 6*g**2 - 130753*g*u*w - 2*g*u + 6254*g wrt w.\nAnswer: -63*g**2 - 130753*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19145104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**3 + 10865*r**2 - 151330*r + 431800 = 0.\nAnswer: 4, 10, 2159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10154*r + 5896*r + 5418*r - 644*r to a*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.209 - -2.049. Let l = 1.9 - q. Put l, 2\/15, 2\/11, 3\/2 in ascending order.\nAnswer: l, 2\/15, 2\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 29, 20, 11, 2, -7, -16?\n\"Answer: -9*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -11. Let p be ((-3)\/(-2))\/(6\/16). Suppose -n + 4*g + 41 = 0, p*n + g - 192 = k*g. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1163301261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 21, 4 in increasing order.\nAnswer: 4, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8512 - 8029. List the prime factors of t.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 144 + -145. Let u be (-2)\/8 + 11\/28. Which is the closest to u?  (a) l  (b) 4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**3 + 4*j**2 - 21*j + 7. Let h(w) = -w**3 - w**2 + w - 2. Let b(t) = -6*h(t) - r(t). Let u be b(5). Sort -2, u, -5 in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -0*v - 2*v. Let n = -94429 - -94458. Calculate the remainder when n is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -12, -5, 4, 15, 28, 43?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -1, 1, -0.0407071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/6*1*(-6)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 5*m - 11 + 1, -3*x + 15 = -m. Let b = m + -5. Put 3, 2, b in decreasing order.\nAnswer: 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4533, 9071, 13611, 18153, 22697?\n\"Answer: v**2 + 4535*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d - 7. Let s be z(-4). Let o(g) = g**2 - 5*g - 1. Determine o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -1212?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 85.83009ns?\nAnswer: 0.00000008583009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78 - -76. What is the closest to n in -2, 0.3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 6.1039809.\nAnswer: 10.1039809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.449 + -4.549. Let u = 2.96 + -3. Is u greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1508\/12 + 1 + (-2)\/3. Find s, given that k*s + 9 - 3*s**2 + 17 - 84*s + 19 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1502624 is divided by 82.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21876*p**4 + 1697*p**2 - 3*p.\nAnswer: 525024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - h + 10 = 0, 0 = -16*i + 12*i + 5*h + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a**3 + 3*a**3 + 0*a**3)*(3 + 4 - 5)*(-4 + 4 - 2) - 42*a**2 + 99*a + 43*a**2 - a**3 + 4*a**3.\nAnswer: 7*a**3 + a**2 + 99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117322 divided by 4.\nAnswer: -58661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -142.4108 - 0.0892. Let r = -143 - j. Let m = -0.3 + 0.1. Which is the third biggest value?  (a) 7\/5  (b) m  (c) r  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -3682, 0, 0.128?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -2) + (-8 - 3) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88, 4, -30.\nAnswer: -30, 4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1\/10  (b) 0.48  (c) -0.5  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u + 52. Suppose -55 = -2*p - 37. Suppose 0 = 2*t + 3*s + p, -2*t - 7 - 7 = 2*s. Let m be y(t). Round m to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*a + 8 + 0*a**3 + 6*a - 27 + a**3 in the form k*a**2 + c + v*a**3 + n*a and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 - p - 7. Let b be f(2). Suppose 0 = 5*g + b*g - 32. Differentiate -20 - 17 + 9 - 11*x**4 - x**g with respect to x.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 30 = -3*n, 0 = 4*n + 3*d - 2*d - 17. Suppose 2*s + n = 23. Suppose q - 3*g = 2*q - 88, -3*g = -s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 985347036 divided by -6\nAnswer: -164224506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-59)\/(-24) + 85\/(-34).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12061 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-1))\/i**7)**(-41)\/((i\/(i**(2\/9)\/i))**(-10\/17))**(-38) assuming i is positive.\nAnswer: i**(25285\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 2) + -23 - (1*-8 + 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 8*x + 12. Let f be j(8). Suppose 4*g = -m + 53, 3*g - 43 = -g + m. Suppose -g*o + 1385 = -487. Calculate the highest common factor of o and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5721\/65 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 - 23. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -558 - 5?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - z + 0 + 3 + 3. Is j(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 16*y - 3. Let g be u(14). What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*w - 4 + 8 + 7*w - 3 to r + s*w and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 0.4  (c) 0  (d) -289\/4  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + (-14)\/4)*(-32)\/(-12). Let n be (-2)\/(-7) - 32\/14. Sort 1, z, n.\nAnswer: z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1970458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -7750*p - 52869. Give c(-7).\nAnswer: 1381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*sqrt(912))\/(((sqrt(3) + (sqrt(3) - -1*sqrt(3)) + sqrt(3))*-5 - sqrt(3)) + sqrt(3)) + 4)*-4)**2.\nAnswer: -768*sqrt(19)\/5 + 17344\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1548 + -1546. Let z(w) = -3*w - 1. Suppose -4*v - v = -2*o - 14, -2*o - v - 2 = 0. Let q be z(o). Calculate the highest common factor of q and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 15 + 6. Is 3 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/56)\/(82\/287). What is the nearest to c in 12\/7, -4, 5, -5?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -a + 2. Suppose 63 = 5*z - 12. Let g(h) = -h + 21. Let u be g(z). Solve 2*q - 5 = a*c, 2*q - c = c + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31\/9582140 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**2 - x**5 + 3*x**2 + (2*x + 0*x**2 - x + x**2)*(-2*x**3 + 3*x**3 + 2*x**3).\nAnswer: 2*x**5 + 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4215.8 less than 0.7?\nAnswer: -4215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.186, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 0.186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - 9*p - 29. Let w be z(12). Suppose w*s = -0*s + 336. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - (4 + (13 - 10) - 12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -20020?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 10:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 5 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Let i = 0.1243 + -0.0743. Which is the third smallest value?  (a) i  (b) p  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 74*p**2 - 292*p - 3306. Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.78 - 3.88. Which is the fourth biggest value?  (a) -2\/7  (b) 1  (c) j  (d) -10  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003853801585 to 6 dps.\nAnswer: -0.003854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/9)\/((t\/(t\/((t**15\/t*t)\/t)))\/t))\/(t*t*t*t*t**(-2)\/t*t)**(-42) assuming t is positive.\nAnswer: t**(640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14 + 6 - -10)*(0 + 2). Sort 0, 45, v in decreasing order.\nAnswer: 45, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n + 44 + 88 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**2*n*p**2 - 2*l**2*n*p - 1287*l**2*p - 36888*l*n*p**2 + 45*l*n wrt p?\nAnswer: 2*l**2*n - 73776*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29214 by -4.\nAnswer: 14607\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50607 by -176.\nAnswer: -50607\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1119 - -1120. What is the highest common divisor of 53 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34675\/15*90\/50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: 28\/(-210)*7735\/(-476)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 73*d + 1518. Calculate x(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1481*d - 147059 = -3021*d + 1511*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 7*m**5\/60 + 3*m**4\/8 - 13*m**3\/6 + 2*m**2. Let q = -27 - -16. Let z(o) = 4*o**2 + 5*o - 7. What is q*z(p) + 6*i(p)?\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5977737, 23910947, 53799629, 95643783?\nAnswer: 149443409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vlbvlvvablvulbvlwl. Give prob of picking 1 b and 1 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gsgggsggsg. Give prob of picking 1 g and 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j - 30. Let a be w(9). Let q(n) = -n**3 + 6*n**2 + n + 4. Let x be q(a). Find the third derivative of -3*m**3 + 5*m**2 + x*m**2 - m**3 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwifwwwwwrwwrww. Give prob of picking 1 r and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 78149794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 4 + -2 + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**4\/8 - 10*x**3\/3 - 7*x**2. Let l be z(-7). Solve -k - l = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 33 + -28 + (-5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*a**2 - 22*a**2 - 18*a**2 + a**2 as x*a**2 + o*a + l and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*z - z + 4*z + (6 + 4 - 5)*(-z + z + 2*z) + 2*z + 1 - 1.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 + 41. Is q less than or equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 445356 is divided by 1362?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n - 9. Let v be x(-9). Let q(d) = -5*d + v*d + 2*d + 8. Does 10 divide q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6\/7 + -9\/7. Let z = 6 + -6.5. Which is the biggest value?  (a) z  (b) -0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 2*q + 2*q - 1)*(10*q**4 + 24*q**3 - 24*q**3).\nAnswer: 10*q**5 - 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-93)\/2 - (63\/14 - 5). Let w = a - -323\/7. Sort 1\/2, -12, -2\/3, w.\nAnswer: -12, -2\/3, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b**3 - 3*b**3 + b + 2*b + 2*b**2 + b**3 - 2*b**2 - 2*b**3 + 4*b**3 + 0*b**3 + (b**3 - b**3 + b**3)*(6 + 0 - 4) + 0*b**3 + b**3 - 2*b**3.\nAnswer: 6*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 319993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 41, -26 in ascending order.\nAnswer: -26, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8099, 32413, 72953, 129731, 202759?\nAnswer: 292049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/(-2*sqrt(576) + sqrt(576)))**2 + ((sqrt(70)*-1 + sqrt(70))*5 - sqrt(70))\/((sqrt(480) + sqrt(30))\/sqrt(3)))*4.\nAnswer: -4*sqrt(7)\/5 + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 + 9 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*y - 479*y = 272 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*g - 51 + 45 - 40 - 67 - 190*g.\nAnswer: 21*g - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 16 + (19 - (15 + -15)) + -51?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21\/(-42))\/(1\/(-24)). Solve -n - 3*n = z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p**3*r**3 + 2*p**3*r**2 + 77*p**3*r + p**3 - 62717*p**2*r - 2*p*r**3 wrt p?\nAnswer: -12*r**3 + 12*r**2 + 462*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1, 3, -3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*v - 17*v - 25*v)*(-v + 2*v - 3*v)*(4*v - v - 2*v) - 3*v**3 - 4*v**3 + 2*v**3 to b*v**3 + l + r*v + u*v**2 and give b.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000106095735 rounded to seven decimal places?\nAnswer: 0.0001061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/10 + 13121\/(-45). Let g = k - -299. Calculate the common denominator of g and -31\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {v: 5, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7253447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, 1\/3, 5, 22, -1\/4 in descending order.\nAnswer: 22, 9, 5, 1\/3, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does -51339 = -51344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1262351, -2524708, -3787065, -5049422, -6311779?\nAnswer: -7574136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*x + 4*x - 6. Let s be (-116)\/(-29)*-1*(-29)\/(-2). Sort -3, 0, s, x in decreasing order.\nAnswer: 0, x, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.82 - 6. Let a = -293.802 - -294. Let p = a + x. What is p rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -6*m**2 + 27*m**3 - 4*m + 5*m**2 + 4 + 1 - 4*m**2. Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 15*r**2 + r. Determine u(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**5 + a**4 - a**3. Let k(j) = 6*j**5 + 238*j**4 + 5762*j**3 + 69120*j**2 + 414720*j + 995328. Let c(u) = k(u) + 2*p(u). Factor c(v).\nAnswer: 4*(v + 12)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10\/(-8))\/((-30)\/528*77). Factor 2*l**2 + 0 + x*l**4 + 6\/7*l + 10\/7*l**3.\nAnswer: 2*l*(l + 1)**2*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 j when four letters picked without replacement from {j: 2, b: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -412*i**3 + 413*i**3 - 3095*i + 2995*i.\nAnswer: i**3 - 100*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 320362.3207 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (sqrt(45))**2).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 - -36. Which is the nearest to -1?  (a) -1  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -854.60309 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3537822 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13449421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 5*x**2 + 3*x + 5. Let j(q) = 14*q**2 - 21*q - 42. Let b(s) = -5*s**2 + 7*s + 14. Let m(g) = -17*b(g) - 6*j(g). Let i be m(-5). Calculate c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -86*g. Let k be m(2). Let i = 196 + k. Calculate the highest common factor of 80 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g. Let l be v(-7). Let c = -21 + l. Suppose c*u = -7*u + 7. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17344, -69392, -156138, -277582, -433724?\n\"Answer: -17349*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrn. What is prob of sequence rh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -4. Suppose q = -t*q + 80. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.05 - 0.06. Let a = 0.1100025 + u. Round a to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(0 + 2 - 3)*(3*f**2 - 3*f**2 + f**2)*(-46*f**3 - 35*f**3 - 163*f**3).\nAnswer: 488*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v + 43. Let u be q(-19). Suppose 4*g - u*d = -35, -4*g - 8 = -0*d + 4*d. Let l(p) = -p - 3. What is the units digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 8*v**2 - 8*v + 6. Let g be 981\/218*((-2)\/(-2) - -1). Give l(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-6)\/(-18))\/(9*(-5)\/(-17685)) is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 - -9. Let a be (-80)\/f - 1\/3. Suppose 0 = -4*k - c + 306, -a*k + 241 = -c - 4*c. What is the remainder when k is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 221395?\nAnswer: -22139a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 + -2. Calculate the least common multiple of (170\/255)\/(4\/144) and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrl when four letters picked without replacement from lrwlrrwwrwwwrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -523 - -551. Let n(u) = u**2 - 27*u + 14. What is the lowest common multiple of 6 and n(o)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2660*j + 4166*j + 189756 = 0 for j.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*x - 1749*x + 14441 = -192*x + 174494 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 101525004 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 703760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 15443 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3291\/54)\/((-205)\/2). Let k = r - 2\/369. Let o = 1.2 + -0.2. What is the closest to o in 5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) 2\/9  (b) -1\/5  (c) 4  (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.34.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 16*x - 86. What is j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24434?\nAnswer: 2, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 62 - 22. Let c(x) = -3*x**2 + 2*x - 1. Let i be c(1). Let l be 44\/a - 0\/i. Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ngnmm. Give prob of sequence nngn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9461, 19020, 28645, 38336, 48093, 57916?\n\"Answer: 33*u**2 + 9460*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*f + 2*r + 35, 14 = -2*f + 4*r. Let w = f + 21. Suppose 14 + 22 = 2*c. What is the remainder when c is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 39*k**6\/10 + 3*k**5\/5 + 1783*k**3\/6 + 231*k. Find the second derivative of m(d) wrt d.\nAnswer: 1404*d**2 + 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**2 - 4 + 6 + 2*o**2)*(5*o**2 - 4*o**2 + o**2) + 6*o**2 - 6*o**2 + 5*o**4.\nAnswer: 3*o**4 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 3*v + 0 = -2, t = -v - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -316 - -318. Let w(i) = 16*i**p - 32*i**2 + 33*i**2. Let u(k) be the third derivative of k**4\/24 - k**2. Calculate u(w(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7532*r - 12138 = -7546*r. Calculate the remainder when r is divided by 290.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -23. What is the nearest to -2\/9 in 4, k, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12612 - 4412. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/64 and -13\/2599592.\nAnswer: 20796736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4548.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 159297665 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*f - 65 + 13. Let z be (f\/7)\/((-78)\/(-546)). Solve 0*m**4 + 0*m**z - 1\/5*m**5 + 0*m + 0 + 1\/5*m**3 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**3 + 15888*p**2 - 17245584*p + 2845596800.\nAnswer: -4*(p - 1886)**2*(p - 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fbbbbffbfbbfbbfbfff. Give prob of picking 4 b.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59663514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 451648 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 243875281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*l + 25, 4*l + 2*s + 505 = 531. What is the smallest common multiple of 1004 and l?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10600909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -446, -1095, -2168, -3779, -6042, -9071, -12980?\nAnswer: -17883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*-1*(-1 + sqrt(17)).\nAnswer: -18*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3 = -4*q + 18, 0 = q - z - 10. Suppose -q*u + 7 + 3 = 0. Factor -2*f**u + 2*f**3 - 3*f + f - f**4 + 3*f**4.\nAnswer: 2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-375)\/(-45)*((-2376)\/60)\/6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 418 or 415?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 7*m = 2*m + 8, 2*m = -5*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 2*o + 2*o)*(0 - 3 - o + 4*o).\nAnswer: 3*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-7525)\/(-25) - 3)\/(2\/116).\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**2\/3 + 1281644*u\/3 - 410652835684\/3 = 0. Calculate u.\nAnswer: 640822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-44)\/(-242) - 17068\/(-22). Suppose u = 12*n - 232. Calculate the highest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a**2 + 5*a**2 - 4 - 6*a**2 + 2*a**2 to the form u*a**2 + m + x*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 2*a + 6 = 0, 2*a = -3*q - 0*q - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -103 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 157 + -160. What is the remainder when j\/(-27) + (-2 - (-2582)\/9) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 15 = t, t + 18 = 2*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 6*k + 3*k)*(k**4 + 2*k**4 + 0*k**4) + 1 - 4*k**5 + 0 - 5*k**5.\nAnswer: -18*k**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 960 + -843. Let j = y - 116. Which is smaller: j or 18\/25?\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56210 and 352660.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 152225252.\nAnswer: 2, 31, 37, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/8 and -79\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71252 = -749*c + 3388*c + 73221 - 7245 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 4*x**3 + 162668*x**2 + 162664*x = 0.\nAnswer: -40666, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 + b**4 + 1 + 1354*b**2 + 22*b - 2712*b**2 + 1358*b**2 - 2*b**4 to p + h*b**4 + w*b**2 + g*b**3 + n*b and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507320 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: Four letters picked without replacement from {l: 3, t: 3, n: 1, d: 1, j: 3, i: 2}. Give prob of sequence ditn.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 200*s**2 + 6*s - 22. Does 19 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -32517484 and 9852.\nAnswer: -32507632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -105\/98974 and -13\/2.\nAnswer: 98974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 202.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -238*r - 2. Let i be f(-7). Let g be (i\/(-80))\/(1\/5). Let s = g - -104. Which is the second biggest value?  (a) s  (b) -0.3  (c) -0.5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 0*i = -400. Suppose -9*c + c = -40. Let o be (20\/1)\/(3 + c + -7). What is the highest common divisor of o and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22900 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 4:05 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v**2. Let k be -1 - -3*4\/(-6). Let n = k - -5. Let l(r) = -r + 2*r - n*r. Give l(i(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2884?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -13*w**3 + 3*w + 4. Let d(o) = o + 1. What is 4*d(m) - l(m)?\nAnswer: 13*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 11*o**2 + 14*o + 15. Let g be w(-12). Let j be (-3)\/g*9 + 1. Find the second derivative of t**4 + 5*t + 0*t**5 - t**j - 6*t**5 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {b: 7, n: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38.928 + 103.258. What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.6076086 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c - 19. Let b(a) = -6*a + 28. Let g(h) = -5*b(h) - 8*y(h). Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3059, -2256, -889, 1066, 3633, 6836, 10699, 15246?\n\"Answer: 4*o**3 + 258*o**2 + o - 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u = -28*u + 54850. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 669\/3040 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 277?\nAnswer: 110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 33*c**2 + 37*c - 60. Let b be g(34). Let x = 121 - 67. Let y = x - b. Solve y = -5*p + p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -129\/68 - 1\/340. Find the common denominator of o and 4\/10 - (-789)\/(-210).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 13, 6, -1, -3, -40 in descending order.\nAnswer: 13, 6, 3, -1, -3, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)*2*-5 + sqrt(70))*-2*4)\/(-5*(-1*sqrt(100)*-1)\/sqrt(10)).\nAnswer: -72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1164268mm in nanometers?\nAnswer: 116426.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 211 - 208. What is the biggest value in -12\/11, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 - 306418*x**3 - 23470852657*x**2 + 328636982016*x - 1150281990144.\nAnswer: -(x - 7)**2*(x + 153216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*n + 4 - 1)*(493*n - 493*n + 94*n**2 + 4*n**2 - 5*n**2 + 3*n**2 + (1 + 2 - 2)*(-n**2 - 2*n**2 + 2*n**2)).\nAnswer: -190*n**3 - 190*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 118189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*a + 0)*((-3 + 1 + 1)*(-2 + 10 + 4) + 6 - 3 - 4) to g*a + m and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/4 + (-2)\/(-4). Let i be (q + -2)\/(2\/18). Let d = i - 2. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 273 - 273 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 7*b**2 + 16*b - 14. Let p be u(7). Suppose 4*n - 196 = 5*x - x, 2*n = -3*x + p. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1398255444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 996*o + 997*o - 1984*o. Let k(z) be the first derivative of 2*z**3\/3 - 5. Give a(k(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/11949?\nAnswer: 2\/11949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1203 + -67?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 + 98*l + 790. Calculate i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**2 + 30520*g - 122048 = 0.\nAnswer: 4, 15256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w - 3*w + 2*w)*(-2*w + 5*w - 2*w) - 7 + 2548*w - 2548*w + 86*w**2 as n + t*w + k*w**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 72 - 4. Suppose 0*z = -2*z + p. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 99. Let v(o) = -5*o + 5. Let b be v(-7). Let a = 40 - b. List the prime factors of f(a).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 11:02 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2 - 1 - 4 - 2*q. Let c be a(-2). Which is bigger: c or 2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 7*v**3 + 1456*v**2 + 4*v + 35. Let t(f) = 2*f**3 - f**2 + f + 8. What is k(z) - 4*t(z)?\nAnswer: -z**3 + 1460*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 184275 divided by -1?\nAnswer: -184275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - g + 5 = 22, 22 = -3*y - 2*g. Let k = 11 + -6. Let s be 10\/18 - 3\/9. Which is the nearest to y?  (a) s  (b) -5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d612ca (base 14) in base 13?\nAnswer: -165ca75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42 or 109?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 14. Calculate the least common multiple of 12 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2389723 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**3 + 2*z - 10. Let r(g) = 1. Let y(n) = -2*l(n) - 20*r(n). Solve y(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 6*n**2 - 2*n - 7. What is the remainder when m(4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -9*j - 6. Let l(r) = 13*r + 9. Let x(c) = 7*k(c) + 5*l(c). Determine x(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6862076777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (22 + (23 - 43))\/((-4)\/17958). Are y and -8979 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 298817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40.4 + -40. Suppose -4*d - 6 = -2. Sort d, 0.1, k in descending order.\nAnswer: k, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qngz when four letters picked without replacement from {q: 3, n: 1, z: 4, a: 4, g: 1, v: 1}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from llillrii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*u + 0*u + u)*(-5 + 5 - 2*u) - u**2 - u**2 + 0*u**2 - 3*u**2 - 3*u**2 + 5*u**2)*(3 - 3 - 6)*(2 - 1 + 1).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1939, 2050, 2163, 2278, 2395?\nAnswer: 2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + -1*sqrt(152) + sqrt(152)))*-6)\/(sqrt(512)*-1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x. Let s(r) be the second derivative of -121*r**5\/120 - r**3 + r + 6. Let g(w) be the second derivative of s(w). What is y(g(f))?\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 22 = -2*j - 3*m, 32 = 3*j + 4*m. Let t = 13 - j. Solve 5*y - 2*d = -d - 2, 17 = -t*y - 4*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 450 and 27050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 10 = -5*m, -5*m - 112*a + 110*a - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 232 + 113?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1432500 - -21748.\nAnswer: 1454248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 12:21 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4403489 to the power of 1\/2, to the nearest integer?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*z + 2 - 70*z - 26*z**2 + 132*z.\nAnswer: -26*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 + 748620*h + 1497252.\nAnswer: -3*(h - 249542)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 20*t - 34. Suppose 22 = x + 4*k, 14 = 3*x - 2*k + 18. Let h be a(x). Solve -3*c - 19 = -5*m, 3*c - h*c = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 286 and 150670624.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002655549 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12 and 710136.\nAnswer: -8521632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a**2*m**4 - 19388*a**2*m**3 + 770*a**2*m + 24*a*m**2 + 5*m**3 + 61 wrt m.\nAnswer: 48*a**2*m - 116328*a**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1454200 - 967.\nAnswer: -1455167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140906 is divided by 35225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 4\/7*m**2 + 2\/7*m + 2\/7*m**3 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 9*v**2 + 5*v + 2. Let t(j) = -14*j**2 - 8*j - 3. Let z be ((-760)\/5472)\/(1 + (-10)\/8)*9. Determine z*t(x) + 8*l(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, o: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66432 + 136339. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721106 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.23612mg in tonnes?\nAnswer: 0.00000001423612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-3)*9*(-4422)\/(-2412)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12d1 + -1aa6?\nAnswer: -7d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -2*n + 6, -11 + 21 - 22 = -26*n + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3146 or -332?\nAnswer: 3146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from qwyqqwrqqyqq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24327, 29, -4, 3\/2, -0.1.\nAnswer: -4, -0.1, 3\/2, 29, 24327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 97 - 58. What is the units digit of (-2)\/4 + b\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 48975753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/((s**(-4)\/s)\/s*s*s))\/s)\/((s*s*s\/((s\/(s\/(s**(-1\/2)*s)))\/s))\/s))\/(s**(-3)\/(s**(-7\/5)*s)) assuming s is positive.\nAnswer: s**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x - 2*y = -317 + 159, 5*y = -3*x - 42 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26147, -26143, -26151, -26177, -26227, -26307?\nAnswer: -26423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.198665695 rounded to 5 decimal places?\nAnswer: 0.19867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4192823318 a multiple of 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from fjfffjfjffff.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11809, -11816, -11819, -11812, -11789?\n\"Answer: l**3 - 4*l**2 - 2*l - 11804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/((-63)\/15))\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/((-15)\/(-6))*-2. Let o(d) = -y - d + 5*d**2 + d. Let i(f) = 4*f**2 - 3. Let b(m) = -3*i(m) + 2*o(m). Differentiate b(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.26 - -0.88. Let n = 133.62 - t. Let a = n + -135.00071. What is a rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 14*i**2 + 27*i - 58. Determine z(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 48*k + 0.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.8, 2, 1\/90, 4, 4\/5 in descending order.\nAnswer: 4, 2, 4\/5, 1\/90, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 99662.\nAnswer: 298986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5684996, -5684986, -5684970, -5684948?\nAnswer: -5684920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 1 - 112*c - 2 in the form z*c + b and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -326 + 329. Put f, -9, 4, -4 in descending order.\nAnswer: 4, f, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 44.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 3*12\/2. Let a be (-5)\/(t\/(-4))*-18. Calculate the remainder when 10 is divided by a\/(-9)*(-45)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198 = -30226*k + 30204*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 0 = 16. Suppose 0*t + a*t + 4 = 0. Which is bigger: t or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 4*t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, q: 1, i: 1}. What is prob of sequence iq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 3*l**2 + 2*l - 3. Determine b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 + 38 + 51529*d - 78.\nAnswer: 51529*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141196*l = -141098*l + 196 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 37*p**2 - 14*p + 19. Is f(-8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31505.432 plus 32.315?\nAnswer: 31537.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 3. Let q(t) = t**3 + 4*t**2 + 2*t - 2. Let b be q(y). Suppose 0 = -b*g + 4 + 4. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -15*l. Which is the nearest to 0?  (a) l  (b) -26  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (24\/(-3) - -4) + 0 + 22. What is the greatest common divisor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/1)\/(3\/684*-28*32\/(-112))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((0 + sqrt(242))*-4 + sqrt(242) + -5 + sqrt(242) + 3)*3 + -2)**2.\nAnswer: 528*sqrt(2) + 8728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -0.315, -0.6, -3, 4, 0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31590 and 16848.\nAnswer: 252720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -19*m**3 + 5*m**2 + 4*m - 287. Let a(t) = -93*t**3 + 25*t**2 + 22*t - 1436. Let s(b) = -2*a(b) + 11*x(b). Differentiate s(d) with respect to d.\nAnswer: -69*d**2 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 4:50 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/6)\/(-2)*-8. Let u be (-914)\/b - (-9)\/12. What is the units digit of -5 + u + (-4 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/156 and 53\/30?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 - 17*m + 48. Calculate j(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122202012201100121 - -12?\nAnswer: 122202012201100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/31, 2, -24, -28.8, -2\/7 in decreasing order.\nAnswer: 2, -3\/31, -2\/7, -24, -28.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 79, 151, 259, 415?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72301478?\nAnswer: 2, 37, 977047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + 38. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 34506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 1\/2, 0.02, 19, -4 in descending order.\nAnswer: 19, 3\/5, 1\/2, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/12*10*(-179703)\/(-1047050) and 9\/430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*18\/432)\/((-25)\/390)\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/((g*g\/g**5*g)\/g))\/(g\/(g\/g**(-32))*g))**15 assuming g is positive.\nAnswer: g**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -6*c - 51, 11*j - 16*j + 5*c = -70 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 28*v - 109. Suppose -2*c = 5*a - 109, 5*c - 11*c - 87 = -3*a. Give g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 4*f**2 - f + 1. Let a be q(1). What are the prime factors of (2 + 2\/(-8))*a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11603812?\nAnswer: 2, 11, 263723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 867105890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 765104456 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6967224*m**5 + 2*m**4 + m**2 + 5711409*m.\nAnswer: 418033440*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t*t**(-25))\/t)*t\/t**(-3\/2))\/((((t\/(t\/t**(1\/3)))\/t)\/t)\/(t\/(((t*t**(1\/26)\/t)\/t)\/t))))**(-35) assuming t is positive.\nAnswer: t**(-45220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ggugmvmgmjuugmmjujlm.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -r - t - 35, 4*r + 2*t + 50 = 0. Let q be r*(-1 - (-2)\/(-6)). Suppose k - q = -4*k. Solve f - u + 5 = 0, k*u + 25 = 3*f - 8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - ((-33702)\/369)\/((-1)\/(-3) + -25 + 24).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 61 = 436. Let b = -58 + x. Calculate the greatest common divisor of b and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-4\/9)*l*((l\/(l*l**(2\/55)*l))\/l)\/l)\/((l*l*l\/(l*l\/(l*(l\/(l\/(l\/(l*l**(-5)\/l)))*l)\/l)))\/l**25))**(1\/50) assuming l is positive.\nAnswer: l**(4061\/12375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 4*v**5\/5 - v**4\/4 - 3*v. What is the third derivative of i(q) wrt q?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -92*b - 187 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3756 - 1556. Find the common denominator of (-2)\/9 + x\/1152 and (-57)\/(-14) + 18\/(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-116511)\/(-3) - (-3 + 11 + -17).\nAnswer: 2, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**4 - 12833*a**3 + 167071*a**2 + 937673*a - 1091910 = 0. Calculate a.\nAnswer: -12846, -5, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -151 in 0.5, -0.015, -304?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5*w = -18, -4*w - 15 = f - 27. Solve -n - 4*u + 6*u = -2, 4*n = f*u - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.121?  (a) -0.5  (b) -21\/2  (c) 1  (d) -2  (e) 0  (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 63 + -53. Let d = 26\/21 - 20\/21. Sort -0.3, d, y.\nAnswer: -0.3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -6*c + 4. Let x(o) be the second derivative of o**3\/2 - o**2 + o. Suppose -14*s = -3*s - 66. Calculate s*z(m) + 11*x(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(13) + 1) - (4 + sqrt(13)*-4))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 17295641 and 1444.\nAnswer: 17297085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11890370\/9 or -1321153?\nAnswer: -1321153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -243*k**3 - k**2 + 2*k - 2. Let t be j(2). Let g = -11795 - t. Let r = g - -4149. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-6))\/((-1)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.03556 + -0.10444. Which is the nearest to -68?  (a) 2  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 4*o**2 - o. Let l be i(-3). Let n(h) = -8*h - 8. What is the remainder when n(l) is divided by (2\/(-3))\/((-4)\/84)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40 - 40. What is the common denominator of 83\/18 and (135\/(-24) - z) + -2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-78)\/(-3)*(-14)\/(-28). Suppose j*z = 17*z - 20. Let r(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 2*q - 2. Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -7. Let r be 7 + 13\/(91\/(-56)). Sort r, 4, y in ascending order.\nAnswer: r, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2.172 from -2008.\nAnswer: -2005.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 + 3*l**5 - 3*l**5 + (3*l - l**5 - 3*l)*(0 - 2 + 0) + (-5*l**3 - 6*l**5 + 5*l**3)*(-774 - 906 + 218).\nAnswer: 8773*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*q**5*s - 9*q**4*s - 2*q**2*s + 138*q**2 - s wrt q.\nAnswer: -1500*q**2*s - 216*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l - 104*l**3 - 7*l + 10*l.\nAnswer: -104*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o**2 + 21 + 0*o - o + 84*o**2 - 46.\nAnswer: 77*o**2 - o - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/99648 and -41\/14013?\nAnswer: 896832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 0*o**3 + 3 + 1\/2*o**4 - 3\/2*o**2 + 0*o. Find the second derivative of t(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 8*k**2 - 7*k + 14. What is the tens digit of l(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**2 + 3*z**2 + 0*z**2)*(-574*z**2 - 7*z**2 - 53*z**2) + 2 - 2 - 2*z**4.\nAnswer: -1904*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/120 and 51\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 364 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2072 is divided by 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6122566 and -1393.29?\nAnswer: 6123959.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + -1 + 10 + -8. Suppose 205 = 4*q - r + 6*r, -l*r = -4*q + 232. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 13*x, -4*x - 4*j - j + 3*j - 9 - 37 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 5 + 16*p - 8.\nAnswer: 16*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1364 + 6.1464. Let s = 0.01 - j. What is the third smallest value in -2\/7, s, -2, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of 2*h**3 + 9*h**2 + 3*h + 18. List the prime factors of s(9).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (0 - -2) - (-24 + 26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3192 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -8*b + 0*b**3 + 3*b**2 - 1\/4*b**4 + 0. Differentiate n(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.06 - -0.16. Let n = 18 - 16.7. Let c = i - n. Round c to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 262*d**3 + 121*d**2 - 4*d - 17. Calculate the smallest common multiple of 6 and c(5).\nAnswer: 107214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 523 = -3*a + 5*a, -5*a = -2*p - 1235. Calculate the remainder when a is divided by ((-6)\/(-9) - (-988)\/12) + 1.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 792\/7  (b) -3\/5  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of m**6\/20 - 7*m**3\/6 + 14*m**2. Let h(w) be the first derivative of -5*w**4\/4 + 6*w + 1. What is -5*h(n) - 4*r(n)?\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -14657461 < -14657464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 2*i**2 - 4334*i + 17363. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -69, -127, -185, -243, -301?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -79, -132, -185?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 855 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 76807.21 millimeters?\nAnswer: 76807210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021.3 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/8)\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -5*f**2. Let r(z) = -6 - 12 + 18 - z. What is p(r(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 519670319 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x + 5768 = 28*x - 13006. Calculate the greatest common factor of 1639 and x.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of 1\/7*d**2 + 0 + 2\/21*d**3 + 2*d + 1\/42*d**4. Let p(k) = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -52923 in decreasing order.\nAnswer: 4, 1, -52923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.4 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u + 14. Let h be w(10). Let c(j) = j**3 - 8*j**2 - 9*j + 4. Let d be c(9). Let x be (-1)\/d + 1\/4. Solve x = -h*m + m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(3\/8)*o*o*o\/o**(-17))**33 assuming o is positive.\nAnswer: o**(5907\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*c + 146*c = -446 - 23 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 5*c + 3. Suppose -4*o + 5 = 21. Let g(i) = i**3 + 5*i**2 + 4*i - 1. Let u be g(o). Let l be u + 3*(-16)\/12. What is p(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9168954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j**(-2\/21)\/j)*j\/(j\/(j\/(((j\/(j*j**(-1\/2)*j))\/j)\/j))) assuming j is positive.\nAnswer: j**(235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {v: 1, b: 1, q: 1, p: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -263 and 4.\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 6*x - 5*x - 6, -x = 4*h - 8. Let m be (1\/h)\/((-1)\/2). Let q = 102 - 106. Sort q, m, -0.2 in descending order.\nAnswer: -0.2, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of w**4\/3 + 11*w. Let z(y) = -2*y**2. Give b(z(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/18 + 5\/(-42). Which is the closest to x?  (a) -2  (b) -3\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-6)*(-8)\/6. Let o = q - 2. Let u be 10\/25 + 2\/20. Which is the second smallest value?  (a) -0.5  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 2\/5, 360, -2\/7, 0 in descending order.\nAnswer: 360, 2\/5, 0, -2\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 136718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4301458589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*h - 26*h - 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.4 in -1\/3, 332\/7, 27, 35, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25077 = -22*y - 17*y. List the prime factors of y.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/40 + 16\/5. Solve j + 5*p - 13 = -0, -r*p = j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from {q: 2, a: 2, e: 9}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 3460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4896?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17675512957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.4 + 4.9. Which is the biggest value?  (a) -5  (b) 3  (c) 0  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -770*m**3 + 4*m + 8. Let y(l) = 41581*l**3 - 215*l - 430. What is -215*p(t) - 4*y(t)?\nAnswer: -774*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1891 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26bb (base 15) to base 3.\nAnswer: -102100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -3\/7, -183, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55459 and 1147.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4993 is divided by 639.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -5 + 6 - (-54 - -75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5722, 5733, 5750, 5773, 5802, 5837?\nAnswer: 5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -6 + 2071\/152.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*g*v**2*w**2 + 104*g*v*w**2 - 303*g*w**2 - 109657*v**2 + 6*v*w**2 - 2*v*w wrt v.\nAnswer: 18*g*w**2 - 219314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23.7 - -28. Let s = 37 - 40.96. Let n = s + f. What is n rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157556 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*p**2 - 742*p - 680?\nAnswer: 4*p - 742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8472 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011018 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -304713, -609429, -914147, -1218867, -1523589, -1828313, -2133039?\nAnswer: -2437767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 147826011*g**2 - 2*g.\nAnswer: g*(147826011*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/2151 and -53\/96?\nAnswer: 68832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -2\/9  (c) -0.1  (d) 1\/6  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45\/8 - 1027\/184. Let h = -2\/83749 + -4438669\/1172486. What is the common denominator of h and f?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-14))\/((16\/(-28))\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 866582 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: Let l(o) be the third derivative of 0*o + 19*o**2 + 5\/3*o**3 + 0 - 5\/24*o**4 - 1\/12*o**5. Factor l(a).\nAnswer: -5*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u**16\/u))*u*(u*u*u**(-4))\/u*u)\/(u**7)**(14\/11) assuming u is positive.\nAnswer: u**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 2.4. Let b = -1.4 + s. Are b and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 1\/4*v**3 + 0 - 1\/4*v**2 = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 36, 88, 154, 228, 304, 376?\n\"Answer: -q**3 + 13*q**2 + 20*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 14  (b) -5  (c) -0.2  (d) -0.4  (e) -92  (f) -45\/7  (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -0.0918?\nAnswer: -0.1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 0. Let s(i) be the third derivative of -i**4\/8 - 5*i**3\/2 + i**2 - 23*i. What is the remainder when n is divided by s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/8623952 and 97\/16.\nAnswer: 8623952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1050114*o**2 - 10*o - 6462376?\nAnswer: -2100228*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*c - 2253 - 1212 = 0. Solve -c*o + 89*o + 104 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 14*a + 22. Let b be o(9). Let p = -67 + b. What is the biggest value in -0.4, -0.5, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 179584432.\nAnswer: 1257091024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 4*w**2 - 2*w + 6. What is the remainder when 103 is divided by f(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 8 + (-3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 9863, 17403, 24957, 32531, 40131, 47763?\n\"Answer: d**3 + d**2 + 7530*d + 2331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -12*x + 6. Let k be i(1). Calculate the remainder when 89 is divided by (-324)\/(-24) + (k\/(-4))\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*o**3 + 49*o**3 - 11*o**3 + (0 + 0 + o)*(0 + 0 + 2*o**2) + 3*o**3 + 9*o - 9*o.\nAnswer: 72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 8:14 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -24\/11  (b) -4  (c) -182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**3 - 405*d**2 + 216*d - 2800. Give c(202).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from apqzzluu. Give prob of sequence za.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -b + 3*y + 21990, 5*b + 4*y = 110008. Suppose -h - b = 3*h. Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -14 + -26 - (-3 + (-5 - 6))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00023292 rounded to 6 dps?\nAnswer: 0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -309 + 306.5. Let s = -1.45 - 0.05. Let q = c - s. What is the closest to -6 in q, -2\/9, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -132224*a + 150205.\nAnswer: -132224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = w - 3834954, -2*g + 5*g + 11504835 = 3*w. Suppose -3*j = 5915058 + w. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -235, -467, -699, -931?\n\"Answer: -232*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -q + 1. Let o = 932 - 930. Sort -5, o, q.\nAnswer: -5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 12, k = 3*d + 2*k - 9. Suppose 7*g = d*g - 3. Let z be 3 + 0\/g - -2. Solve -z - 3 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001994 to six decimal places.\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*p - 103*p - 57*p = 94*p + 15416 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1784 - 18*n + 131*n - 1784.\nAnswer: 113*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 884*o - 206558. Determine s(-192).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7001*b**2 + b - 4. Let w(z) = 7001*z**2 - 2*z + 5. Let m(o) = -4*c(o) - 3*w(o). Let p be m(-1). Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i - 51*i + 393011 + 36*i.\nAnswer: 2*i + 393011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23.165 + -26.165. Let n = -13 - -12.9. What is the second biggest value in n, -2, 1.2, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 333, 12.378, 0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q = q - 3*z - 7, -q = -4*z - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -447*b**2. Let l(x) = -25*x**2. What is l(n(d))?\nAnswer: -4995225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1572095452?\nAnswer: 2, 29, 13552547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8505 divided by 567?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5\/19 + 18*n**4\/19 + 62*n**3\/19 - 194*n**2\/19 - 60*n\/19 + 176\/19 = 0.\nAnswer: -4, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1628\/6 + 3\/18)\/36. Let h = k + -63\/8. Let l = -8 + 13. Sort 2, h, l.\nAnswer: h, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n + 7. Let h be w(5). Find the second derivative of 2*b**5 - h*b - b - b**5 + 2*b**5 wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, v: 3, s: 9, m: 2, x: 1, q: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o. Let t(r) be the third derivative of 0*r + 0*r**3 + 22*r**2 + 1\/30*r**5 + 0*r**4 + 0. Determine t(s(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 424780 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7239 + -0.073477.\nAnswer: -7239.073477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 12, a: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(119)\/sqrt(175).\nAnswer: -3 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -26*i. Let a(u) = -u**2 + u. Determine -2*a(n) + r(n).\nAnswer: 2*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 3. Let o be f(4). Let r(m) = 34*m - 7. Let k be r(o). Let b(z) = -27*z - 195. Let d be b(-8). What is the highest common divisor of k and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/5 - 178373*b\/5 - 653994\/5.\nAnswer: -(b + 59454)*(3*b + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40385 - -64593. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-10))\/(42\/(-5285)) and ((-1113)\/(-252))\/(-4 + 135\/18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 10*z**2. Let u(m) be the first derivative of m**3\/3 + 4*m + 1637. What is u(i(s))?\nAnswer: 100*s**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 2\/17  (c) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/7892596 and 70\/5919447.\nAnswer: 23677788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 61*m + 74. Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.34 in 23, -1, -2\/33, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 30*a - 30. Let d be s(1). Let w(z) = 5*z**2 - z + 1. Let l = 4 - 3. Let c be w(l). What is the nearest to 0.1 in d, -1, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b + 8*b + 3*b + 4*b - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 3:24 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.682956502 rounded to five decimal places?\nAnswer: -1.68296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111 + -71. Suppose 15*h + o = 20*h. Calculate the greatest common divisor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5*v + 7*m + 20, 5*v + m = -20. Does 29 divide (286\/3)\/(((-8)\/15)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((152\/(-14))\/(70\/(-294)*3))\/((-401)\/(-2005))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6047938484 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -13*o**2 - 28*o + 32. Calculate s(6).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 165.7*5.158\nAnswer: 854.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(14) - (sqrt(14) + sqrt(168)\/(sqrt(12) - sqrt(12)*-2 - sqrt(12))))\/sqrt(7).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 555 = -2*u - 113, 3*h = -5*u + 349. Calculate the highest common factor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4 - 3*v**2 + 2*v.\nAnswer: v*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 346 a factor of 31248815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42282247100 + 5.\nAnswer: -42282247095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1275524066 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = -31*k + 21*k. Calculate the common denominator of 303\/(-126) + k\/42 and -73\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/3*(-3)\/(-2). Suppose 25 = -5*f, j + k = -f - 8. What is the units digit of j\/(-2) - 0\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 1:05 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 54\/11, 3, 1\/48, -0.4, -5?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((9 - 2*f - 9)*(1 + 0 + 1) + 2*f + 0*f - 4*f)*(-72 + 30 + 24).\nAnswer: 108*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2 - 2. Which is bigger: k or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-993*6)\/3*(-143)\/(-22). What is w rounded to the nearest 100?\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/5 + 1189794*d\/5 - 1903632.\nAnswer: -3*(d - 396590)*(d - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 7. Let j(s) = s**2 - 8. What is 6*j(i) + 7*q(i)?\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 32101 (base 4) to base 2\nAnswer: 1110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -195\/2 + 292\/3*z + 1\/6*z**2.\nAnswer: (z - 1)*(z + 585)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2629 - -4908. What are the prime factors of j?\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from bbydypdbbpobpb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 75312 and 144?\nAnswer: 75312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (32\/(-24))\/((-4)\/246) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - g - 170 = 3*g + 5*b, 2*g - 11*b - 8 = -11 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32963?\nAnswer: 7, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.9 + 2.1. Let h = -2.2 + p. Sort 0.4, -0.4, h in descending order.\nAnswer: 0.4, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence soj when three letters picked without replacement from jojsjjo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1502, 5964, 13400, 23810, 37194, 53552, 72884?\n\"Answer: 1487*w**2 + w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 2:54 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -112352, 225 in decreasing order.\nAnswer: 225, 0, -112352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*q - 3 - 37. Let v = -692 - -694. Solve c = q*c + v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-18))\/((-14)\/(-6)). Let v = 54 - 70. Let p = v - -16.1. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 7*r**2 + 4*r - 8. Let u be z(-6). Suppose 2*a = 2, -s - s - a + 9 = 0. Suppose u*o = s + 8. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 5*i**3\/6 - 5*i**2\/2 - 10*i. Let g be v(-6). Sort -2, g, -5.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -290.77 + 286.27. Which is the third biggest value?  (a) 0.04  (b) d  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (87*2)\/((-136)\/(-16) - 7) is divided by 2\/(-3)*(-8)\/((-24)\/(-99)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 67*z - 1473. Calculate p(-17).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -124*g**3*x - 73469*g**3 + 337353*x + 20 wrt g.\nAnswer: -372*g**2*x - 220407*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99911?\nAnswer: 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -k**4\/4 + 10*k**3\/3 - k**2 + 9*k + 4. Let n = 123 - 116. Is h(n) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12826, 25670, 38532, 51412, 64310, 77226, 90160?\nAnswer: 103112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 268571 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (152\/133)\/(8\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 132328 + 1?\nAnswer: 132329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7*4\/(-6)*6. Let q = -32080\/3 + 10671. Find the common denominator of s\/5*9\/(-4) and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3572 is divided by 829?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**2 + 2*t**2 - 3*t**3 + (2*t**2 + 2 - 2)*(15 + 3*t - 20 - t).\nAnswer: t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 731 + -732. What is the biggest value in 0.4, y, -1\/9, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 997 = 73. Let n = m + 463. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/4*(-88)\/(-110)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-2) - (1 - -92333669). Let p be z\/(-8) + 1\/2. Let u = p + -6741709. Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 5\/7, -1\/3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i**5 + 134*i**4 + 32*i**3 - 1274*i**2 + 408*i + 3384 = 0 for i.\nAnswer: -2, 3, 47\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2284 is divided by 824?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 4*c + 44, -2*b = 2*c - 5*b + 23. Let w be (-4)\/c*100\/2. Suppose 0 = -5*p + 5*d + 40, 5*p - 4*d = -3*d + w. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4021 + -411?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -102.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*u - u + 2*u)*(6*u**2 - 3*u**2 - 2*u**2).\nAnswer: 3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -1. Let b(g) = 21*g**2 - 2*g - 1. Is 11 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1a782 (base 11) to base 7\nAnswer: -150136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/5  (b) 2\/13  (c) 5  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 + q - 6. Let z be p(2). Let o(h) be the third derivative of h**4\/24 + 2*h**3\/3 + h**2. What is the tens digit of o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*x - 29*x - 48*x + (-x + 3 - 3)*(-7 + 3 + 1) - 23*x + 4*x - 15*x + 10*x to n*x + k and give n.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 - g**2 + g. Let l(i) = 10*i**3 - 34*i**2 + 6*i. Let d(y) = l(y) + 3*x(y). Determine u so that d(u) = 0.\nAnswer: 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k + 17. Let v be y(4). Suppose v*h = 3*h + 98. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.72 + 2.28. Which is the second smallest value?  (a) g  (b) -30  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10046955 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: 112200013 (base 4) to base 16\nAnswer: 16807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**3 - 3*u + 3*u)*(2*u - 2*u + u) - 64*u**4 + 23*u**4 - 27*u**4 + (0*u**3 + 2*u**3 - 4*u**3)*(1 - u - 1).\nAnswer: -67*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5024071, -5024073, -5024075, -5024077, -5024079, -5024081?\nAnswer: -5024083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-189))\/(6\/14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000111011110111101 (base 2) to base 13.\nAnswer: a336b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37981.\nAnswer: 19, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(-2 + sqrt(2736)))**2 - sqrt(2736)) + 2 + -2.\nAnswer: -1212*sqrt(19) + 68500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/84 and -6 + (94\/705 - 3154\/(-560)).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2853\/4 - 99847\/140. Calculate the common denominator of h and -6\/65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 519 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*d - 5 = -21*d. Let k(y) = -13*y. Let o(p) = 10*p. Let s(w) = d*o(w) - 4*k(w). Let h(x) = -21*x**2. Determine h(s(n)).\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (4 + -1 + -5) - (28 - (12 - -3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.037, -0.1, 6\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x. Let c be -5 - (0 - 4)*1. Calculate t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 176688, 706749, 1590182, 2826993, 4417188, 6360773, 8657754, 11308137?\n\"Answer: r**3 + 176680*r**2 + 14*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1182106 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5251)\/623 + (57\/84 - (-3)\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**4 - 2*t**4 + 3*t**4 + (-2*t + 2 - 2)*(2*t + 4*t**3 - 2*t))*(6 - 1 - 4).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)*-1 + sqrt(189) + sqrt(21))\/sqrt(3) - (-1 + (2*sqrt(7))**2 - (sqrt(77)\/(sqrt(11)*-2) - sqrt(7))**2).\nAnswer: -45\/4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 8*q + 8. Suppose w = 4*w, 3*f - w + 18 = 0. Let j be s(f). Let m be (-48)\/(-18)*(-15)\/20. Which is the closest to m?  (a) j  (b) 5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.758 - -0.75008. Round o to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -2. What is the lowest common multiple of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -474420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67\/4 + 18\/72.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-3)\/(-1))*(-5)\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lzjppjjjpwjp. Give prob of sequence pz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 5*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 623*u + 7*f - 97 = 622*u, 5*u - f = -19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(2112)*-2)\/(4*sqrt(12) + sqrt(3)).\nAnswer: 16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((1 - 0) + 0)\/(105\/(-315)). Does 33 divide (2\/o)\/(4170\/(-594) + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(196\/24)*-14. Let z be (15\/k)\/((-3)\/(-12)). Solve -l - 2*m - 8 = -3, -z*m - 10 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - 102044024?\nAnswer: -102044043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pbejbjbnbbjepepb. Give prob of sequence peb.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10563017, -21126038, -31689059?\n\"Answer: -10563021*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*y + 318 = 867 + 648 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4 + 0.231475?\nAnswer: 2.631475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(15)*-2)\/sqrt(5))**2 - (sqrt(12)\/(sqrt(4)*-1) + (sqrt(3) - sqrt(30)\/(2*sqrt(10)))).\nAnswer: sqrt(3)\/2 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2756204 and 8519176.\nAnswer: 93710936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*(3 + (5 + (sqrt(7) + (-1 + sqrt(7) - sqrt(7)))**2 - (sqrt(7) - ((sqrt(28) + sqrt(112))\/sqrt(4) - sqrt(7)))) + (sqrt(7) + 1 + 2 - sqrt(7))*-6).\nAnswer: -3*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1236 = -12*i - 1248. Does -2.623 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - y)*(1 - 3 + 0) - 19*y - 6*y - 10*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(-1\/12)*g)\/g)\/g)\/g*(g\/(g*g**(-2\/5)\/g)*g)\/g)**(-35)*(g\/g**0)**(-28)*g**(-3)\/g*g*g*g**1\/g assuming g is positive.\nAnswer: g**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4230, 3.\nAnswer: -3, 3, 4230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2242294541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 2*n - 1025, -4*n - 7*y + 1980 = -3*y. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*s = -152*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v + 106 + 3*v - 222 - 92 to g*v + l and give l.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 - 28. What is the lowest common multiple of -2 - (1 + -5) - m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 5  (b) -5  (c) -387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 84 + -41. Let w = p - 17. Let l = -15 + w. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rxgkrkk. What is prob of picking 1 r, 1 k, and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + 11*b - 47. Let n be a(11). Suppose 0 = 2*r + 2*c + c + 165, 3*c = 2*r + n. Let m = -54 - r. Calculate the greatest common divisor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 51\/5 + -163\/15. Let q = -0.5 + 1. Which is the second biggest value?  (a) 1  (b) q  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (1 - 1 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 0*y = 20. Suppose -3 - 3 = -4*m + 2*q, -4*m + 5*q = 9. Sort y, m, -2 in descending order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 11:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 103905176 or 103905177?\nAnswer: 103905177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 1  (b) 1\/4  (c) 15  (d) -1  (e) -0.3  (f) 0.1  (g) -1598\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 78.9 - 79. Suppose -4 - 11 = -5*g. Let a be 0 - (0 + (4 - g)). What is the nearest to s in -3, -2\/23, a?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10 - 16a?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 135, 151, 171, 195, 223?\n\"Answer: 2*u**2 + 10*u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3\/7, 0.298, -2\/15, 3724 in descending order.\nAnswer: 3724, 2, 3\/7, 0.298, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*v + 27 = -7. Suppose 3380 = 7*q - 2*q - 5*c, -4*q + v*c = -2706. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + 1.2. What is the nearest to k in 3, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 362 divide 380703454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 254*i - 48. Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 121294737?\nAnswer: -121294737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3. Let b(y) = 4*y - 5. Let o(x) = 5*x - 6. Let a(p) = 4*b(p) - 3*o(p). What is 3*a(m) - 2*j(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 74285 and 87710.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((5 - -4 - 4) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**3\/3 + 3246*g**2 - 2461034*g\/3 - 410984 = 0. What is g?\nAnswer: -1\/2, 287, 2148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 6*b - 23. Let u(l) = 150*l - 573. Let c(n) = -153*h(n) + 6*u(n). What is the remainder when 77 is divided by c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 19. Let d(i) = -i**2 + 9*i. List the prime factors of d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -1990*q + 1721. Determine u(1).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4267658447 to the power of 1\/4, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (-477)\/36) + -8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 42*i - 19 = 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2478, 2473, 2468, 2463, 2458, 2453?\n\"Answer: -5*l + 2483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110000110 + -10000101?\nAnswer: -101000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-6)\/x)\/x**23)\/((x\/(x*x**(-5)))\/x*(x\/((x\/((x\/x**(2\/21))\/x))\/x))\/x) assuming x is positive.\nAnswer: x**(-712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 q, and 2 f when four letters picked without replacement from jxxqfjvxvfqjjvtqx?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 131*b. Let g(u) = 22*u + 1. Let t(j) = 6*g(j) - l(j). Let h(q) = -10*q. Give h(t(y)).\nAnswer: -10*y - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kynyxnxdkkekyexknxk. Give prob of picking 2 n.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-11))**(-49)\/(m**(14\/11)\/(m\/(m*m**(-33)))) assuming m is positive.\nAnswer: m**(5739\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 12:01 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -16936800 to the nearest one hundred thousand.\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c - 52. Let l(a) = -1. Calculate 8*l(y) + s(y).\nAnswer: 2*y - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k. Let p = -1 - -1. Let j(h) be the second derivative of 2*h + 0 + 0 + h**4 + p*h. Calculate j(z(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -72, -290, -638, -1104, -1676?\n\"Answer: 2*h**3 - 77*h**2 - h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**3 - 10*q**2 + 2. Let t be k(-5). Solve -3*x + 25 = t*x + 4*g, -3*x - 3*g + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oktxb. What is prob of sequence ox?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -0.3, -1\/9, 84?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*n - 20 = 88, -3*n = 9. List the prime factors of 2\/(w\/9 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 7. Let g(r) = 1634*r + 77. What is -g(f) + 11*w(f)?\nAnswer: -1623*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1380 - -8327\/6. Calculate the common denominator of m and 59\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -9. Let b = 3 - 4. Sort 4, b, v in ascending order.\nAnswer: v, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.837208892 to one decimal place.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 555\/7 - 79. Sort 0.3, -0.01, n in ascending order.\nAnswer: -0.01, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 254*x + 44. Let w be m(5). Suppose -10*y = -3746 - w. What are the prime factors of y?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2330 is divided by 773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/176 - (589\/8 - (-25 + (37 - 20)))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**6\/20 + n**5\/15 + n**4\/24 + 5*n**3\/6 + 32*n**2. Let q(y) = -17*y**3 + 11*y**2 + 3*y + 14. Give 11*o(r) - 4*q(r).\nAnswer: 2*r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3 + 0 + 4*h**2 - 3. Let k(x) = 3*x**2 - 4. Let v(a) = -5*b(a) + 7*k(a). Is v(0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 463 + 577 = 80*i. Solve -i*f + 16 = -36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*n - n = -41, -p = 3*n - 11. Suppose -16*c + 634 = -p*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 15, y + 15 = -2*i + 5*i. Let z be (11 - (2 - 0)) + -3. Is i > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -7*h**2. Let q(b) = -130*b**2 + 2. Give q(c(d)).\nAnswer: -6370*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o**2 - 4*o**2 + o**2 + 12332426*o.\nAnswer: -4*o**2 + 12332426*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d - 7*s + 16, 381*d - 382*d + 3*s = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01019 - -0.7.\nAnswer: 0.68981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -1\/4  (c) 21775  (d) -13  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 64 = -3*l, -38 = -0*l - l - 4*a. What is the remainder when 69 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 15*f + 18 = 0. What is the third biggest value in f, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 8 = 2*x. Let f be -4 + x + -1 + 11. Let a = f - -10. Solve a - 3 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 825 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 4) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 7*s - 1. Let a(u) = -869*u - 17. Let q be a(0). Suppose -2*o + 0*w = 3*w - 46, 4*o + 4*w = 88. Let p = q + o. Give n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-18))\/(4746\/(-7119))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8518712g in kilograms?\nAnswer: 0.0008518712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/4)\/((-5)\/60). Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 1. Let r(s) be the third derivative of -s**4\/24 - s**3\/3 - 4*s**2. Let z(b) = -4*g(b) - 2*r(b). Let k(o) = -4*o. Give z(k(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 2, 88\/21, 2\/3, 0.1 in descending order.\nAnswer: 88\/21, 2, 2\/3, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 84 - 36 = 0. Suppose 448*r = 465*r - 408. Is r greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 194451114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(156) - (((sqrt(156) - (-2*sqrt(156) + sqrt(156))) + sqrt(156))*5 + sqrt(156) + sqrt(156))))\/(3*1*sqrt(12)*-6))**2.\nAnswer: 3328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xuxxuuuuuxuxx. What is prob of sequence uxu?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqiiqqdqid. What is prob of picking 3 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of 183*p**5\/10 - p**3 + 22*p**2 - 380*p. Find the second derivative of y(s) wrt s.\nAnswer: 2196*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - 21*s - 13*s)*(120*s - 6*s - 13*s) to the form q + v*s**2 + t*s and give v.\nAnswer: -3131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3773 and 1744841?\nAnswer: 19193251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13\/(-130) - (-3)\/(-30)*-661. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 1 - 14*d + 12 + 16 - 23*d + 30*d**2 + d**3. Is f(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 20*m**2 - 17*m - 38. Calculate k(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(54)\/(sqrt(6)*-2)) - (5 + (sqrt(13) - (sqrt(13)*1 + -4))).\nAnswer: -9 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 149.6 + 276.1\nAnswer: 425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160*h + 9 + 2 - 89*h + 60*h.\nAnswer: -189*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 5*x**2 - x - 6. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17073169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-196)\/(-490))\/(-5*(-11)\/(-12925)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 10*l**2 - 3*l + 4. Suppose -9*j + 8*j = -9. Let m be v(j). Solve 5*w + f = 24, 4*f - m = -5*w - 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 38*h**2 + 36*h - 13. Let l be f(-37). Suppose -129*p - l = -135*p. Let r be 0 - (1 - 1) - -6. Solve -v + 4*u + 27 = 8, p*v - r = 2*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-10286)\/1251)\/(4\/9)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(20)\/sqrt(4) + sqrt(5) + -3)**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 5*c**2 - 5*c - 6. Let m be v(6). Is m smaller than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -8, -9703, 5, -13 in decreasing order.\nAnswer: 5, 2, -8, -13, -9703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1212102 + -10?\nAnswer: -1212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9, 1\/13, -2, -0.07, -5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 10 + 10. Let v be u\/(-5) - 2*-2. Suppose 0 = 3*a - 2*a - v. Solve -17 = 5*h - 3*s, s - a*s + 18 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 524 + -276136?\nAnswer: -275412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.184842 - -0.185. What is d rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 78*i - 9132. Calculate the lowest common multiple of y(124) and 756.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(5\/7)*k**(2\/5))\/(k*k**(-1\/8)*k**(1\/10)*k) assuming k is positive.\nAnswer: k**(-241\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 54 = 4*w - p, 2*w - 22 = -4*p. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1573)*6 - (sqrt(1573) - sqrt(1573)*2*2)) + (-3 + sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) + 5*(sqrt(1573)*-2 + sqrt(1573)))*1 + -5)**2.\nAnswer: 1936*sqrt(13) + 190397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15920 divided by 2.\nAnswer: -7960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 265\/8 - 33. Are w and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 392360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 0 - 4 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*d + 58 = 34*d. What is the remainder when 55 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35 - -34)*(63\/15 - 4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -28b22122 - 5?\nAnswer: -28b22127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3384478561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 476 = 3*a - 901, 5*u = a - 441. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 - 29*i - 213. Let u be r(20). What is the greatest common divisor of u and 3584?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {q: 1, f: 1, p: 1, j: 4, u: 4, z: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 12:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -7*i**3 + 34*i**2 + 4*i + 6. Let o be r(5). Let u be 4\/(-5)*15\/(-6). Let z be 0\/2 - (2 - u). Sort 2, z, -5, o in increasing order.\nAnswer: -5, z, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -71650 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 1:23 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -30332412?\nAnswer: -30332404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4040 = 14*w - 6*w. Suppose 4*t + 5*s = 1968, t + 4*s = 6*s + w. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15\/(-4))\/((-9)\/24). Let m(u) = 0*u + 3 - 6*u - 17*u**2 - x. Let b(d) = -25*d**2 - 9*d - 10. Let s(c) = 5*b(c) - 7*m(c). Calculate s(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47\/2 - 24. Which is the nearest to -0.1?  (a) -1  (b) 4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 286808 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 31*g = -156 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/8)\/(((-99)\/(-12))\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 8 = 28. Let z be 0\/((-7)\/b + 6\/(-15)). Suppose z*v - 25 = -v + 3*c, -3*c + 35 = 5*v. Calculate the lowest common multiple of v and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -9. Let l = -74\/135 - -668\/135. Is l > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 5*v**2 + 6. Let i = -4 - 1. Let o be n(i). Solve 5 = -o*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -6. What is the third derivative of -f**6 + f**2 + 2*f**t - f**4 - f**4 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 11. Let m = v + -6. Suppose -o + 67 = r, 5*r - 2*o = -m*o + 331. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.05 + -0.08. Let q = z + -2.97. Let g = 0.314 - 0.014. Which is the closest to 0.1?  (a) g  (b) 6  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y - 3. Let z be t(2). Suppose -4*q + 17 - z = 0. Suppose -106 = -2*a - 5*p, q*a - p = p + 212. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, e: 3, h: 4}. Give prob of sequence heh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 80*q**2 + 2713*q + 44. Let o be d(-34). What is the highest common divisor of o and 27354?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 11:38 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(-3)\/(3\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + -1 + 10 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/35 and -31\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**3\/2 + 18*g. Let n(y) = -3*y**2. Determine i(n(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -663, -1492, -2349, -3234, -4147, -5088, -6057?\n\"Answer: -14*x**2 - 787*x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(-13)\/n*n*n)*n**6*n)**(-46))**(-43) assuming n is positive.\nAnswer: n**39560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**5 - 14947*n**4 - 194445*n**3 - 523649*n**2 + 733040*n = 0. Calculate n.\nAnswer: -7, 0, 1, 14960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 2\/15  (c) 2  (d) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38745841, 38745832, 38745823, 38745814, 38745805?\nAnswer: 38745796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 8*y - 206. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*l**3 + 1437*l**3 + 729*l**3 - 72*l**3 + 643*l**3.\nAnswer: 2761*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(27) - sqrt(27)*-1) - (1*sqrt(1728) + sqrt(1728) - sqrt(1728) - sqrt(1728) - sqrt(27)) - (-2 + -3*(sqrt(27) + sqrt(108)\/sqrt(4))))*-1)**2.\nAnswer: 108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 17\/(-90) + 156\/520\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 8*m**2 - 2*m + 12. Let r be a(6). Let z = r + 13. Let i = 82 + z. What is the least common multiple of i and 9?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*q = 4*q - 30, 4*q = 2*r - 48. Let l be 2*8\/12*3. Is r\/21*42\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 49*a**2. Let z(k) = -k**2 + 3*k - 3. Let u(b) = b - 1. Let q(f) = -6*u(f) + 2*z(f). Calculate t(q(v)).\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1 + (sqrt(512) - -3*(-1 + sqrt(512)) - -1*(0 + sqrt(512) + sqrt(512))))*-3)**2*-1.\nAnswer: -165937 + 4032*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -6*i + 2077 - 2025, i = -s - 8 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -272.2 and -7.\nAnswer: 1905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, h: 5, u: 8}. Give prob of picking 2 u.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 10*c - 14*c + 132, 108 = 3*c + 3*b. Solve c*x - 8*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 8 = -p. Put 2, -1, p in ascending order.\nAnswer: -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r = -2106 - 8134. Let w = -700 - r. Suppose 5*m = -89 + w. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 m when three letters picked without replacement from mmmgmmmgggmggmmg?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -1140*a**2 + 135*a. Let s(d) = 17*d**2 + 10*d. Let b(v) = -2*v. Let n(j) = -6*b(j) - s(j). Calculate -2*c(q) + 135*n(q).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -139*b + 143*b. Let r(c) be the first derivative of 0*c**b - 2*c - 4 + 0*c**2 + 5\/4*c**4. Differentiate r(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5050 + 45?\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5*n + 10 - 5, 22 = 3*n - 2*p. Let j be (-2)\/n - (-18)\/4. Let l(q) = -5*q - 2. Let s(k) = 4*k + 2. Give j*s(y) + 3*l(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z**(-14\/9)*z*z)\/z)\/z)**(5\/14)*(z**(-10))**(-2\/9))**(5\/16) assuming z is positive.\nAnswer: z**(425\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (36 - 30) + (-1 + -4 - -1) + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by -17\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256702, -256701, -256700, -256699, -256698?\nAnswer: -256697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1910 = -2971*w + 3234*w - 2035 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -351*v**2 - 5 - 2*v**3 - 2*v**4 - 2 + 2*v + 350*v**2 in the form h*v**2 + i*v**4 + t*v + r*v**3 + n and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/8, -2\/9, -42104, -1\/5, 3, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11271 + 56359\/5. Which is the smallest value?  (a) i  (b) 2\/3  (c) 0  (d) -5  (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/6 and -68\/496341.\nAnswer: 992682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of 0*i**4 + 1\/2*i**3 + 0*i + 0 - 2*i**2 + 1\/60*i**5. Is 12 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(1221\/6)*7\/7?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 3*m**2 - 11*m + 10. Let r be d(7). Suppose -l + 395 = -6*l. Let n = l + r. Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/12 and -35\/199338.\nAnswer: 398676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -7\/6, -4, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/7 + 372\/21. Let t be 60\/j*(-3)\/2. What is the units digit of (1 + t)\/((-10)\/65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/237*(-2)\/(-186). Let v = y + -337948\/51429. Find the common denominator of v and -1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101\/(12726\/(-2688)) + 25\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 50 - 10 = 0. Calculate the least common multiple of r and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*j**3 + 4 - 3*j**4 - 2*j**2 + 14*j**2 + 58*j**4 - 29*j**2 + 15*j**2 in the form y*j**3 + d*j + c + k*j**2 + w*j**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 9, 5, 2, -7, 1 in decreasing order.\nAnswer: 9, 5, 3, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 433 and 2138.21?\nAnswer: 925844.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 4 + 5)*(-7 - 9*w + 2 + 1) in the form q*w + i and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*w**2 - 37*w**2 + 17*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -25*u - 151. Find the common denominator of -55\/14 and v(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -42, -67, -106, -159, -226?\n\"Answer: -7*g**2 - 4*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1248.08 rounded to zero dps?\nAnswer: -1248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/5)\/(7\/(-10)). Suppose 24 = 4*h - 36. Let w(m) = -m**3 + 13*m**2 + 38*m - 121. Let o be w(h). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z**2 + 5881*z + 46849. What is t(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t\/(t\/(t\/t**(-2\/3))))\/t))**26\/((t*t**(1\/6))\/t*t\/(t**(-1\/5)*t*t)) assuming t is positive.\nAnswer: t**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0391 - -1.0391. Let n = -401 + 400.5. Which is the nearest to w?  (a) 5  (b) -0.1  (c) 0.4  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 0.0912.\nAnswer: -3.9088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35465, -284621, -960895, -2277845, -4449029, -7688005, -12208331, -18223565?\nAnswer: -25947265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -486, -1073, -1894?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-7)*(25 - 46). Which is the nearest to -8?  (a) -6  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92 or -89?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109290 is divided by 109281.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + (-532)\/5 + -1. Let k = x + 109. What is the closest to k in 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h + 1. Let a(m) = -2*m**2 + 4*m + 6. Let b(u) = -u. Suppose 4*r = -y - 0*y + 18, 29 = -2*y + 5*r. Let o(c) = y*b(c) + a(c). What is 5*g(n) - o(n)?\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 1892*n - 1893*n. Let d(x) be the first derivative of -3\/5*x**5 - 1\/4*x**4 + n*x**3 - 3\/2*x**2 + 4 - 2*x. Suppose d(v) = 0. What is v?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1232235301 - 11?\nAnswer: -1232235312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/11 - 68*z**2\/11 - 6*z.\nAnswer: -2*z*(z + 1)*(z + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 1863*f - 8365. Is z(21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36 (base 8) to base 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/7138 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**2\/5 + 390488*a - 95300548840 = 0.\nAnswer: 488110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 6*k + 15. Let o(a) = 3*a + 3 + a - k*a + a. Let w(m) = -4*m - 7. Let h(n) = -n**2 - 4*n. Let g be h(-2). Determine g*w(p) + 9*o(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -21*j**3 + 84*j**2 + 84*j. Let y(t) = -t**2 - t. Determine -n(l) - 84*y(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 105\/28 - (-18)\/72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -125 + 196. Let w be r + -1 + (2 + -8 - -1). What is the greatest common divisor of 78 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -34, -5, 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, -5, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 - 2*y - 6 + 7*y**2 + 3*y**2 + y**3 + 8 - 5*y**2 in the form g*y**4 + c + d*y**3 + o*y**2 + w*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 270 by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 0*u + 3*u - 57 = 0, 3*p + 4*u - 61 = 0. Let v = -15 + p. Suppose v = -0*y + 5*y + 4*c - 800, -2*y + 4*c = -320. Does 40 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 29*r**3 - 3*r**2 + 3*r + 3. Let b(u) = -29*u**3 + 4*u**2 - 4*u - 3. Calculate -3*b(s) - 4*j(s).\nAnswer: -29*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24*(-2)\/3*(-42)\/4. Calculate the greatest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 0 + -23)\/1. Let g = c - -31. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/36)\/(5\/(-15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ark when three letters picked without replacement from {b: 1, a: 2, p: 3, n: 1, r: 5, k: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - i = 3*i - 32, -c - 4*i = -24. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10051 + 10458 - 20960 = -21*s - 20*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/5  (b) 1\/3  (c) -2\/9  (d) 0.019  (e) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 33598, 67195, 100794, 134395, 167998?\n\"Answer: v**2 + 33594*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rereerereerreerrreee. What is prob of picking 1 e and 3 r?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -6*s**3 - 121*s. Let k(u) = 17*u. Let b(m) = 3*j(m) + 5*k(m). Let c(a) = -3*a**2. Determine c(b(y)).\nAnswer: -1587*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 2. Let j be k(0). Suppose 0*l - j*u - 9 = -3*l, 2*u = 0. Differentiate -l + 9 - 10 + 3*q**3 with respect to q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 876 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2, -3941, -2\/1315 in decreasing order.\nAnswer: 2, 0.2, -2\/1315, -3941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24780 and 69060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) -0.06  (c) -3\/14  (d) 5  (e) 23  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 18941*g - 18941*g - 1 + 2*g**2 + 14*g**4 - 3*g**3 + 4*g**3 as r*g + t*g**4 + h*g**3 + a + y*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261779 <= 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 4*i + 6. Let s(l) = -2*l - 6. Let n be s(-5). Let g be (n - 66\/15)*-5. Suppose 3*p + p + 2*r + 26 = 0, -2 = g*r. What is d(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*((d\/(d**38*d))\/d)\/d)\/d**(1\/84))\/(d\/d**17*d*d*((d*d\/((d\/(d**(1\/57)*d*d))\/d))\/d)\/d) assuming d is positive.\nAnswer: d**(-43139\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*i - 8*i**3 + 9*i**3 - 18*i + 2*i**2 - 2 in the form z*i**2 + w*i**3 + a + n*i and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27 - 630\/(-24))\/(1\/(-4)). Factor 0*n**2 + 2\/3*n**l + 0*n + 0 - n**4 - 5\/3*n**5.\nAnswer: -n**3*(n + 1)*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 + -20. Let r be (10\/(-6))\/(11\/t). Let k = -263\/2 + 132. What is the closest to 0 in r, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*z + 5*v, 0*z + 14 = 2*z - 2*v. Let d be (-6 + 6)*z\/(-6). Suppose -l + d*l = 0. Solve l = 3*i - 5 - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62983 take away 164.3?\nAnswer: -63147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/214 and 119\/20.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*q + 145*q - 527350. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 8*y = 6*y - 4, -4 = -3*i + 2*y. Solve -3*c - 5*h = 3, -4 = 2*c + 4*h - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20418 - 8660. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 346*q - 343*q + 6, 10 = 5*w + 5*q. Let i = 9.2 + -8. Let x = -1.17 + i. Which is the third biggest value?  (a) w  (b) x  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 1185305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 430 + 0*o - 3*o - 2*o**3 + 435 - 866 - 13*o**2 to n*o + b + u*o**3 + v*o**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1911573757 to the power of 1\/2, to the nearest integer?\nAnswer: 43722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - 22) + (-26 - -116).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -52, -47, 57, 0 in increasing order.\nAnswer: -52, -47, -5, 0, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266*h = -272*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 61, 7, -133, -401, -839, -1489, -2393?\n\"Answer: -7*i**3 - i**2 - 2*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 519*w**3 - 519*w**3 - 30*w**2 + 13652 - 10861*w**6 - 12*w - 13651 wrt w.\nAnswer: -1303320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (104*o**2 - 44 + 44 + 2*o**2 - 5*o**2 + o**2 + (-4 + 5 + 0)*(5*o**2 - 2*o**2 - 2*o**2))*(-2 + 2 - 2*o**3).\nAnswer: -206*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 15*m + 2. Suppose 5*y - 4*d - 18 = -77, -56 = 4*y - d. What is the smallest common multiple of 4 and o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 219, 540, 1037, 1740?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -202001\nAnswer: -20200.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9194, 18449, 27710, 36971, 46226, 55469, 64694, 73895?\n\"Answer: -u**3 + 9*u**2 + 9235*u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -175 + 183. Suppose 0 = -v*w + 7 + 1. Let i(z) = 5*z + 1. Determine i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 29*j**2 - 34*j + 268. Let f(n) = 10*n**2 - n - 1. Let z(b) = -a(b) + 3*f(b). Determine z(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 40*g. Let q(a) be the third derivative of -1\/15*a**5 + 0*a + 177*a**2 + 0*a**3 + 0*a**4 + 0. Calculate j(q(d)).\nAnswer: -160*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.6 + -5. Let f be ((-2)\/(-7))\/((-9)\/(-21)). Let y = -0.6 - -0.6. What is the nearest to -1\/4 in f, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 13*m + 1 - 2*m + m - m + (-5 + 0 + 4)*(m + 2 - 2) + m - 5*m + 3*m - 3*m + 0*m + 5*m)*(-2 + 6 - 1) + 5*m - 2*m - m to w*m + s and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + -66. Suppose 0*z + 3*z = -60. What is the common denominator of ((-3)\/z)\/(1\/w) and 95\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 6*t**2 - 4*t + 8. Let h(o) = -7*o**2 + 5*o - 9. What is -3*h(l) - 4*i(l)?\nAnswer: -3*l**2 + l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-270 - -133 - -31) + 66?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (528\/(-1188))\/((-3)\/(-3)*1*(-4)\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 1)\/2*34. Let y = -29 - a. Suppose -y*n = -99 + 4. Do n and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 0.962?\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19203144 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2936444.4 months?\nAnswer: 2447.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 407707.\nAnswer: 407707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**8\/336 + 7*h**5\/15 - h**4\/24 + 59*h**3\/6 + 126*h**2. What is the second derivative of x(w) wrt w?\nAnswer: -20*w**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -87 <= -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3904 and 146156.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -841164 divided by 6?\nAnswer: -140194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bdbdbb. Give prob of sequence ddb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) 1  (c) 1\/5  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((9966\/132)\/(-151))\/(6\/8*-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03 + -1.97. Let q = 20050 - 20049. What is the nearest to -0.2 in -5, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -979, -1891, -3\/7 in decreasing order.\nAnswer: -3\/7, -979, -1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88944514*r*t**5 + 3*r*t**2 + 2*r + 5609355*t**2 wrt t.\nAnswer: -5336670840*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 AM and 3:47 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 50211, 50213, 50213, 50211, 50207?\n\"Answer: -y**2 + 5*y + 50207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8100820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22054827891 + -22054827782.57319079. Let r = t + -12.42684711. Let n = -96 + r. What is n rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001557 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4454.35824023 + 0.7\nAnswer: 4455.05824023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -19. Suppose 10*k + 12 = p*k. Put k, -2, 2\/15 in ascending order.\nAnswer: k, -2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*v*z**2 - 145*v + 711*z**2 + 703*z wrt z.\nAnswer: 36*v + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 569*g - 4. Let p(i) = -5*i**2 - 1139*i + 10. Calculate 2*p(f) + 5*s(f).\nAnswer: -5*f**2 + 567*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4784 is divided by 401.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -200 - -385\/2. Suppose -212*c = -204*c - 104. Suppose 5*d + 52 = 4*u, c = 5*u - 2. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*y + 19 = 2*y, -38 = -4*h - y. Suppose -5*b - 5*f + 19 = -f, 3*f = -2*b + h. Suppose -n - 33 = -4*a + 26, 4*n = b*a - 28. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 170563*w**2 + 2046756*w + 12. Determine q(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 46*v - 47. Let z be s(17). Let g = z + -511. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253099 is divided by 1375?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10300, -6127, -1954, 2219?\nAnswer: 6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3\/1270 - -5621\/308610. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 - 0.4. Let h = 0.2172 + -0.0272. What is the nearest to k in -2\/3, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9751.5424 * 3\nAnswer: -29254.6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 646703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tut when three letters picked without replacement from {x: 2, u: 1, t: 2, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbff when four letters picked without replacement from {f: 17, b: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -12. Let z be (10\/(-3 + v))\/(-2). Solve 2*n = z*a - 2, -3*n - 4*a = -7*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/7 - 299*p\/7 + 720.\nAnswer: -(p - 16)*(p + 315)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -5028 at most as big as -527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 779\/246 - (4 + -1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 2*2\/4. Suppose -3*r - j*h = -2*h - 753, -4*r = h - 1009. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/8 and 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1651*l + 289. Is m(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 2*u + 3*v - 66, -5*u - 5*v + 160 = 0. Let 10 + 24*o**3 - u*o**2 - 2 - 28*o**2 + 16*o = 0. What is o?\nAnswer: -1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15527.\nAnswer: 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 2*n - 7, 4*y - 17 = n + 4*n. Solve j - 5 = -y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -694*p + 624 = -678*p. Calculate the greatest common factor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1259 + 1259.849. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-62)\/93 - (2 + 5)) + 7\/(-21). Sort 4, y, -10 in decreasing order.\nAnswer: 4, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 594 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 2464427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4611 + 4613. What is the fourth smallest value in -3\/2, -0.0238, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**2 + 10*r + 11. Determine d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12577.7 and 15154200?\nAnswer: 15141622.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 11*y - 10. Let s(h) = h**2 - 10*h + 9. Let u(b) = -2*k(b) - 3*s(b). Let o be 2\/((16\/(-72))\/((-6)\/(-153)) - -6). What is u(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 8:30 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (128 - 48 - 208)*(0 + 0 + 2*n).\nAnswer: -256*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 475.6322s?\nAnswer: 475632200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {s: 3, r: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 2*b**2 + 3*b + 3251. Suppose -3*g = 18*g + 13*g. Is j(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*s**2 - 3*s + 2574*s**2 + 3*s to r + h*s**2 + t*s and give h.\nAnswer: 2613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 13 - 19. Suppose v + 4*k + 5 = w, -2*k = -5*v + 15. Solve 0 = -v*o - 3 - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmmmemmemmmmmee. What is prob of picking 2 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -492281.5 rounded to the nearest one thousand?\nAnswer: -492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -70*f + 64*f + 12. Sort -1, 0, -65, f in ascending order.\nAnswer: -65, -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*4\/(-44)*(-5192)\/236.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 50329.69 centuries in months?\nAnswer: 60395628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**10\/40320 + z**9\/60480 + z**8\/13440 - z**4\/12 - 2*z. Let i(p) be the third derivative of y(p). Factor i(s).\nAnswer: -s**3*(s - 1)*(3*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 4:29 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47 - -53. Let z be 10\/o + -1 - (-39)\/9. Solve z*v = -i + 28 - 3, 3 = -i + 2*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 38 = -g, 4*g + 14 = 2*h + 2*g. Suppose 2*i - 15 + h = 0. Suppose -7*j = -i*j + 20. Let o(d) = d + 5. Determine o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 46 - 16 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2 = -3*a + 4, -5*a = 3*l - 16. Suppose -l*p + 2*s - s = 0, 0 = -5*p + 5*s. What is the units digit of 1*p\/(-1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 1\/3, 17, 41\/7, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -82*g**3 + 5. Let l(a) = 41*a**3 - 2 + 2770971*a**2 - 2770971*a**2. Give -2*d(c) - 5*l(c).\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12096 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 8:42 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148 - 202.6. Let v = -25.9 - i. Let u = v - -0.3. Which is the smallest value?  (a) -0.3  (b) u  (c) -0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 892, 1085, 1412, 1873, 2468, 3197?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-16)*y*y*y**9)\/((y*y*(y\/(y\/(y\/(y**(1\/6)\/y))))\/y)\/y**(-13)) assuming y is positive.\nAnswer: y**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 3*t - 1240, -4*q - 1240 = -8*q + 2*t. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/14688 and 133\/155244.\nAnswer: 11177568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 18204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.466 + 0.034. Let t = 14 - j. Let r = t - -0.5. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 1)*(-12 - (-2)\/1). Solve 2*q + 1 = v - 3, -5*v - x = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 182*r**2. Let t(x) = -352*x. What is t(n(g))?\nAnswer: -64064*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2828820318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 9, w: 5}. Give prob of picking 3 w and 1 h.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 21602347.\nAnswer: -2160234.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i**3 + 3*i**2 + 3*i + 7. Let b(f) = f**3 + f**2 - f. Let z(t) = 4*b(t) + v(t). Let d be z(7). Solve -p + d = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(80) + 0 + sqrt(80))**2 + 3 + -1.\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 2 = 4*m + 6*n, 6 = 2*n. Let j be (3\/3)\/m + 1. Suppose j*u - 23 = -l + 5*u, 0 = -4*l + u + 16. Solve 0 = -4*b + l*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38638 + -27336. What are the prime factors of m?\nAnswer: 2, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m + m + 4*m. Let n = -7 - -9. Suppose -n*w + 2*c + 3 = -5, 5*c + 10 = 0. Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 119 - 82. What is the greatest common divisor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**10\/n**(-1\/7))\/(n**16\/n)**(2\/19) assuming n is positive.\nAnswer: n**(1139\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 7*o - 20. Let g be 0\/(54\/12 - o\/6). Let b(j) = -6*j**3 - j**2 + 1. Let x be b(-1). Solve d - x*d = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 2*h - h)*(0 + 1 + 2) + (-15 + 4 - 7)*(0*h + 4*h - 2*h).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2728 + -2719. Solve -5*i - o + 0 = 3*v, 3*v + 9 = 3*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*t = 74*t + 244. Let f(j) = 20*j**2 + 2*j + 1. Let d(s) = -39*s**2 - 5*s - 2. Calculate t*d(l) - 5*f(l).\nAnswer: -22*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(119)\/(sqrt(343)*2 - sqrt(7)) + 4).\nAnswer: 5*sqrt(17)\/13 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand y + 3*y - 2*y + y - y - 2*y + (-2*y + 2 - 2)*(4 - 4 + 2) + 6*y - 5*y + 6*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(8\/3244) + -8. Calculate the highest common factor of 73 and w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75376971773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.57452 decades to millennia.\nAnswer: 0.0657452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, o: 2, b: 7, j: 1, y: 6}. Give prob of picking 2 b, 1 o, and 1 j.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 8 = 2*g, -2*z - 2*z = 4*g - 16. Let c be (z - -2)\/((-8)\/(-92)). Let d = -16 + c. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-6 - (-10 + 18))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*j + 15 = 54*j, -5*w - j = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 281*a + 19*a.\nAnswer: -262*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.1, 0.16, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4*m = 0. Let t(q) = q**2 + 13*q + 16. Let p be t(-12). Let i = m + p. Solve 2*g = g - i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14760 by 4.\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*y - 167*y = -4303010. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (270\/(-1920)*-16)\/((-357)\/(-14))\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 110100202011101 (base 3) to base 11\nAnswer: 3787543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 2:27 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/10 - (-148242)\/465 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1836, 1827, 1814, 1797, 1776, 1751, 1722?\n\"Answer: -2*q**2 - 3*q + 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 48942261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(3*sqrt(500))\/sqrt(10)*6)\/(-5*(sqrt(810) + sqrt(810) + (1*sqrt(810) - sqrt(810) - sqrt(810))) - 3*sqrt(810)*2).\nAnswer: -10*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 1481556*r**2 + 30*r - 94. Let y be j(3). What is y rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -56.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017127256 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 9*r - 26. Let t be o(-11). Sort 4, t, -5, -3 in decreasing order.\nAnswer: 4, -3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + k**2 - 1.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 434*t = -452*t - 12*t + 60166 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8653 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1720523 and -322801.836?\nAnswer: 1397721.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 206 - 209. Let l(w) = 4*w**2 + 4*w + 5. Let i be l(v). Solve 5*y - i + 19 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 times -41295361?\nAnswer: -1238860.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -391.7 - -390.7. What is the second smallest value in 5, w, 6, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-38)*(-54)\/162.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1610 - 11324\/7. Find the common denominator of c and 9\/364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - 17.5. Let l = 23 + u. What is l rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 2:00 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4006629, -8013250, -12019839, -16026378, -20032849?\nAnswer: -24039234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 38.52482 millimeters?\nAnswer: 3.852482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5155 divided by 9.\nAnswer: 5155\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 19, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-8))\/(5\/20)*0. Let n(l) = -l**3 + l**2 + l + 8. Determine n(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2 = 3*r. Which is the nearest to r?  (a) -0.1  (b) -5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*j - 174*j + 159*j - 2*j + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441551?\nAnswer: 11, 137, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2\/3  (b) 11  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5012.7007935 from -380.\nAnswer: -5392.7007935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 55*p - 60*p - 25, p - 11 = -f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 r, and 1 m when three letters picked without replacement from omrmomooyryyyrowyr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 2:01 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, 43904, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2038 + 1104.4. Let s = -861 - p. What is s rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*n + 84 = 68*n. Put -17, 1, -4, n in ascending order.\nAnswer: -17, -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - 0. Let s(g) = -g**2 - 6*g + 9. Let i be s(v). Let p(c) be the third derivative of c**5\/60 - c**4\/12 + c**3\/2 + 4*c**2. Give p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2708071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 37\/3  (b) -1\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 4)*(-22799 - 5469*h + 22799).\nAnswer: 16407*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 AM and 9:20 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*s**5 + 3*s**4 + 603*s wrt s?\nAnswer: 380*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5, 0.04, -1856?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 7*d**3 - 4*d**2 - 6*d + 4. Let t(l) = -13*l**3 + 7*l**2 + 12*l - 7. What is -7*h(s) - 4*t(s)?\nAnswer: 3*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -72095448 divided by -24?\nAnswer: 3003977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, h: 1, a: 7, c: 1, k: 5}. What is prob of sequence aaah?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8119443 is divided by 57582?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.059?  (a) 0  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 + a + 3. Let l be ((-1)\/(-2))\/(3\/(-24)). Let t be p(l). Let r = t + -19. Solve -r = -7*g + 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 2*b**2 + b**3 - b**3 + 2. Suppose 0 = -5*h + 2*p - 22, 5*p = -64*h + 68*h + 21. Give g(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1090, 1095, 1100, 1105?\n\"Answer: 5*y + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5 = -y. Which is the smallest value?  (a) -1\/2  (b) y  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 + 8*v**2 - 8*v + 7. Let o(w) = 3*w**3 + 15*w**2 - 15*w + 14. Let n(g) = -3*o(g) + 5*p(g). What is n(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from daddaddradddddd. Give prob of sequence rdr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -42 + 13*h**3 + 15*h**3 + 125*h + 2*h**2 + 43 - 31*h**3 in the form x*h**2 + k + v*h + s*h**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 639179 is divided by 91027.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - x = -237, -3*p + 2*x = -0*x - 186. Suppose -3*s + s + p = 0. Calculate the least common multiple of s and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5 = -7. Suppose -4 = -f*j + 5. Let i(r) = -j + r**2 - 3*r**2 + 4. Calculate i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of k**3\/6 + k**2\/4 + 4. Let s(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4539629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 - v**2 - 2*v**2)*(-3*v + 3*v - v) + 0 - v**3 - 6 + 5.\nAnswer: 6*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + w - 68 = -90, -s - 11*w + 46 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*w + 2*w**2 + 9*w - 31*w + 15*w.\nAnswer: 2*w**2 - 57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d + 15677 = 15677 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 63\/49 - (-4)\/(-14). Let i(p) be the first derivative of 1\/2*p**4 - p**2 - 2\/3*p**3 + 2*p + t. Let i(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 765448 or 4592695\/6?\nAnswer: 4592695\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) 3  (c) 0.02  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -21.74  (b) 36  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9182672 is divided by 719.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 3*z - w, 5*z - 3*w - 90 = 2*w. Suppose -11*b + z*b = 15603. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -77546.\nAnswer: -3\/77546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1304.71509 + 306758093.28491. Let r = j + -306759404.99999982. Let z = -7 - r. Round z to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1 = -0*q. Let k(i) = 2. Let z(l) = 4*l. Let y(t) = -5*t. Let j(r) = -5*y(r) - 6*z(r). Calculate q*k(a) - 3*j(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48 + 55 - 103 + 85*t)*(-52 + 162 + 28)*(4*t - 4*t - 2*t**2).\nAnswer: -23460*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n = 30*n - 60. Solve 10*p - n*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1078211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6426375 and 1375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 1568\/(-264))*51\/(-68)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-2)*(-2)\/(-35) + 1. Suppose -3*y - 3*c = -4*y + 3, 3*y - c - 1 = 0. Factor 3\/7*m**5 - 6\/7*m**4 + 0*m**3 - z*m + 6\/7*m**2 + y.\nAnswer: 3*m*(m - 1)**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 11) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 4*r - 1383, -505 - 888 = -4*r - 5*h. Let v = r + -52. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2863000 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003791 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-42)*(-60)\/(-8) + 4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**26*d\/(d*d**(3\/10))*d*d\/(d\/(d*d**(-2)))*d**(-1\/26) assuming d is positive.\nAnswer: d**(1668\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 300 = 3450. Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x - 2*x + 3 + 3*x + 0. Is i(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 493  (b) 0  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*v**4 + v**4 + 3*v**4 + (1 - 1 - v)*(2*v**3 + 3 - 3) - 5936*v**3 + 5936*v**3 - 197*v**4 to the form f*v**3 + d*v**4 + p + x*v**2 + q*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5871 (base 9) to base 11\nAnswer: -3301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-40)\/60 + (-2)\/(-3). Suppose 6*z = 2*z + 8. Let g be (6\/(-135))\/(z\/(-6)). Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.6 and 2.42.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.26925 and 929657322.\nAnswer: 929657322.26925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.04  (b) -2  (c) 4\/677  (d) -5  (e) -26  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*t = -43, 0 = -2*v - t - 2 - 9. Let c = -23 + v. Let f = 51 + c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/24 - 58\/12. Is 15 a factor of ((-8)\/o)\/((-8)\/(-160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(245) + sqrt(245) + 1 + -3 + sqrt(80) - ((-2 + sqrt(80)*2)**2 + 0).\nAnswer: -326 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a. Let n(i) = -3616*i**2 + 6*i - 25. Determine n(s(j)).\nAnswer: -14464*j**2 + 12*j - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3 + 1)*-1)\/(-3). What is the closest to -2 in -2\/15, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -39*m - 83. Let g(r) = 107*r + 249. Give 4*g(d) + 11*t(d).\nAnswer: -d + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 3091.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 21*f**2 + 25*f + 63. Let n be j(21). List the prime factors of -12*(-7)\/n + 4380\/14.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 36*q**3 - 21*q**2 - 21*q. Let f(w) = -7*w**3 + 4*w**2 + 4*w. Calculate -4*d(u) - 21*f(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.17 + -3.17. Let f = 0.37 - 0.07. Which is the closest to u?  (a) 6  (b) -0.2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(10)\/sqrt(2) + 3 + (sqrt(140)\/sqrt(4))\/sqrt(7) - (sqrt(7200)*-1)\/(sqrt(1000) - sqrt(1000)*-2))**2 + 5.\nAnswer: 72*sqrt(5)\/5 + 214\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3796409 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133133759*r**2 - 44377911*r**2 - 44377913*r**2 - 44377922*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*8\/15)\/((-4)\/9)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by -131.\nAnswer: -21\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2165 is divided by 231?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s + 90. Let v(y) = y**2 + 5*y + 13. Let m be v(-5). Let w be p(m). Which is the closest to -4?  (a) -0.2  (b) w  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3509.6*109.26.\nAnswer: -383458.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 31\/209858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, 3\/8, -1\/6534, -5\/9?\nAnswer: -1\/6534","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {a: 4, n: 2, b: 3, z: 2, o: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10*10\/1. Let q be -3 - (-5)\/((-4)\/m). Suppose 3*d + d - 3*p = -q, -4*p = -8. Solve -2 - d = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/9723732 and 13\/45438?\nAnswer: 9723732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -0.1. Suppose 3*w = j - 12, 3*w + j + 0*j + 6 = 0. What is the closest to l in 0.2, w, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 26. Let g(s) = -2*s**2 + 2*s. Let h(l) = 5*l**2 - 3*l. Let b(w) = x*g(w) - 3*h(w). Let a(m) = 3*m**2 + 11*m - 1. Calculate 2*a(v) + 5*b(v).\nAnswer: v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1687\/2410)\/(28\/30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 275 - -220. Is 45 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -98.03 - -2.03. Let y = -95.6 - p. What is the fourth smallest value in -2\/7, -1, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -1141*n**2 + 525*n - 21. Let o(q) = -114*q**2 + 50*q - 2. Let i(a) = 21*o(a) - 2*s(a). Let j(z) = -16*z. Calculate j(i(t)).\nAnswer: 1792*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 109?  (a) -13  (b) -2\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 403465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + 5135b?\nAnswer: 51368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/176 and -25\/21216.\nAnswer: 233376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2 - 4*z + 6 - 9 + 3*z + 8 + 8*z + z**2. Let d be (54\/(-3))\/3 + 0. What is s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 9*b**3 - 32*b**2 - 21*b + 535. What are the prime factors of k(17)?\nAnswer: 7, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1163 (base 8) to base 3.\nAnswer: -212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + u - 10 + 1 = -5, -37*u = 5*r - 34*u + 54 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 832100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -147286*o + 17527033. Give b(119).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 18\/26947?\nAnswer: 18\/26947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 3*g + 18, 2*g = -j - 3*j - 12. Let d be 2\/g - (-8)\/6. Is d\/(0 - -1) - -25 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 1)*(-1 + 4 - 5)*(-3*t + 2*t + 3*t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1958, 0, 6 in descending order.\nAnswer: 1958, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - -3*417\/9. Let y = -173 + i. Is -30 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 340986.5 decades to millennia.\nAnswer: 3409.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + -2.25. Let q = 1108614622.75000269 + -1108614628. Let t = q - w. Round t to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 9:11 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5338*j**2 - 2672*j**2 - 2674*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 128 + 29. Let y = h + -109. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00022 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3213043 rounded to the nearest one thousand?\nAnswer: -3213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 + -30. Let k be (-19)\/c + 2 + 12\/(-9). Let p be 40\/k + -3 + (-2)\/(-7). Solve 0 + 12 = p*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a, 1 x, and 1 u when four letters picked without replacement from {a: 2, u: 1, f: 4, x: 1, v: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26 - 7\/(42\/24). What is the first derivative of 99*j**2 + 3 - v*j - 26*j - 97*j**2 wrt j?\nAnswer: 4*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 9:23 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 3*x - 3. Let r be w(1). Let h(z) = -z - 3. Let m(f) = -1. Let v(u) = r*h(u) - 3*m(u). Let d(n) = 3*n**2. Calculate v(d(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1107037 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -0.3, -1\/3, -0.024, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -0*o - 3. Let z(c) = -c**3 + c**2 + 1. Give z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -7, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14790942 divided by -2203\nAnswer: 6714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - 4. Let k(l) = -l**3 - 7*l**2 + 11*l - 18. Does 15 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + 8*o**2 + 5. Let m be w(8). Let s(n) = -38*n**3 - n**2 + 4*n + 5. Let d be s(m). Let l be (d + 0\/1)*400. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.3 - -1.7. Which is the closest to -2\/7?  (a) -4  (b) 1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 91*g + 330 - 57 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 13.04.\nAnswer: -3.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h**2 + 31*h + 3. Let z(t) = -2*t**2 + 10*t + 1. Let k(c) = -3*m(c) + 8*z(c). Give k(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t - 3 + 3)*(3 - 11 + 2).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -558*w = -16041 - 11301 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 451340179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1229616 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-66)\/12)\/((-2)\/12) + 2. Is 11625\/d + (-2)\/14 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57 + -58. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 679880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -2*g**7\/105 - g**6\/60 + g**5\/15 + g**4\/12 - 5*g**2. Find w, given that z(w) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*d + 14*d + 189. Let z be 14\/98 + 13\/d. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.1, -1, 57, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -395 - -668. Suppose 0 = 2*a + 2*g - 2 - 152, 0 = -4*a + 3*g + m. Suppose 0*h = 4*h - a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**7\/840 + v**6\/360 + v**5\/60 + v**4\/24 - v**3\/3 + 4*v. Let i(x) be the second derivative of c(x). Does 9 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -172a46 (base 12) in base 15?\nAnswer: -7d309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of i**5\/20 - 8*i**4\/3 - 65*i**3\/6 - 29*i**2 - 95*i. Let m be o(34). Put -1, m, 5, 1 in descending order.\nAnswer: m, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.7, -0.05, 0.1 in descending order.\nAnswer: 0.7, 0.1, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 1 - (4 - 4)) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 148, 191, 278, 409?\n\"Answer: 22*i**2 - 23*i + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 38*1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.77 + 0.770083. What is w rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/6)\/((-38)\/57)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*z + 2 = -0*z, -2*p = -5*z - 30. Suppose p*o + 568 = 9*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21689323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 + -0.03. Suppose -2*v = -4*m - 3 + 13, 0 = 2*m - 4. Let r be ((-99)\/(-66))\/((-5)\/2 - v). Which is the closest to r?  (a) -0.2  (b) -0.4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1935 - -12349. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 0 - 5 + 0 - 7*w - w**2 + 1. Let u be y(-6). Suppose 1600004 = -s - 6*n + u*n, -2*n - 1600002 = s. Round s to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1005\/335*22*(-1)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 14. Let c be (g\/(-18))\/((-8)\/(-3)). Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 7*a**2 - 14900*a - 29810. Determine m(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 284 and 12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -21. Let j(c) = -c**2 - 22*c - 20. Let x be j(-18). Suppose 47*d - x*d = 0. Solve o + d*s = -2*s - g, -1 = -o + s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-242)\/(-4)*(1 - 2\/(-2)). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 16 = -46. Sort 15, i, 5.\nAnswer: i, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 3:05 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h + 5*h - 860 + 776 = -4*v, -190 = -5*v + 2*h for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 264293 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 3*k**4\/2 + 3*k + 2930. Let y(n) = -3*n - 20. Calculate x(y(l)).\nAnswer: 162*l**2 + 2160*l + 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(847)*2 + -3 + -4)**2.\nAnswer: -396*sqrt(7) + 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2132 + 111?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 11*l**2 - 2*l + 2. Let v be j(2). Let h = -51 + v. Sort -5, -3, 5, h in ascending order.\nAnswer: h, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 9*w**2 + 12*w - 15. Let c be m(10). Suppose -4*l = -c*i - 423, 2*i + 331 = 3*l + i. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*f - 31*f + 13*f - 82*f.\nAnswer: -156*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -155, -351, -645, -1037, -1527, -2115, -2801?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 3*o**3 + o)*(-3 + 0 + 2)*(5*o - 25 + 25).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uwuggwwbwwww. What is prob of picking 2 u, 1 b, and 1 g?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -17. Let h(p) = 127*p**2 + 17*p + 16. Let c be h(-1). What is the highest common factor of t and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -52 - 473?\nAnswer: -4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 95056885 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uusq when four letters picked without replacement from {s: 8, q: 1, u: 4, b: 7}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, -36, -243 in decreasing order.\nAnswer: 48, -36, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.086 less than -0.5?\nAnswer: -1.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 4 + 2 + 14*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -13.06. Let s = r - -16.06. Let i = s + -14.9. Is -1\/2 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - (3\/(3\/2) + (-864)\/(-216)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -212890476.20000092 - -212890481. Let p = l + -4.8. Round p to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t + 96*t**4 - 107*t**4 - t + (-2 - 1 + 1)*(-t**4 - 3*t**4 + 3*t**4) in the form v*t**3 + x*t + q*t**2 + k*t**4 + w and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**5 + 492919*g**2 - 680*g + 2801?\nAnswer: -40*g**3 + 985838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -10, 4, 5, -2\/11 in increasing order.\nAnswer: -10, -2\/11, 1\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2874460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 15) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 55.99153 millennia?\nAnswer: 559.9153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 8*f**2 + 5*f - 4. Let x be n(3). Let g = -23 - x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.3 + 11.59. Let w = -0.21 - l. Which is the closest to 1\/3?  (a) 0.2  (b) w  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/(-3))\/(1 + 0). Let p(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - 2*o**2 - 3*o. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1156.6296194930935 + 108236960.7603822969065. Let a = 108238118 - j. Let u = a - 0.61. What is u rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/7, 6937, 0.145?\nAnswer: 6937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.1 - -0.9. Let v = -41.19 + 41. Let x = v - -0.09. What is the biggest value in 3, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2745515 (base 9) in base 14?\nAnswer: -2b3057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 391, 412, 447, 502, 583?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 161*i**2 - i - 4. What is a(-2)?\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -2*b - 3*b, -5*b = -k + 26. Suppose 2*n = o + 1 + 6, k = 5*n + 3*o. Suppose -l + 17 = n. Calculate the highest common divisor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-10\/7))**(-47)\/((((h**(2\/5)*h)\/h)\/h)\/(h**(-4\/11)*h)) assuming h is positive.\nAnswer: h**(26326\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 0*f - 68\/3*f**3 - 8\/9*f**4 + 8\/9*f**2 + 68\/3*f**5 = 0. Calculate f.\nAnswer: -1, 0, 2\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258*3.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53 + -55. Let s(f) = -f**3 - f**2 - 3*f - 2. Suppose m = 4*i - 8 - 17, 0 = 4*i + 2*m - 22. What is the lowest common multiple of s(o) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 255764064*w*x - 560440899*x wrt w.\nAnswer: 255764064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 33\/(-22) + (-122)\/(-76). Which is the biggest value?  (a) l  (b) -2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**2 + 1. Suppose 0 = -3*m + 12, 4*q - 20 = 3*m + 2*m. Suppose -3*o - 2*o = q. Let x be g(o). What is the highest common factor of x and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 6, z: 2, v: 11}. What is prob of sequence zlz?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5928599 rounded to two dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 5\/4 - 133\/(-28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 480, -0.1, -0.3, -7, -2, 0 in decreasing order.\nAnswer: 480, 0, -0.1, -0.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**5\/5 - 4377*c**4 + 7079385*c**3 + 3300455181*c**2 + 317479237992*c - 23502178198044\/5 = 0 for c.\nAnswer: -202, 13, 3843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5*(sqrt(88)*-1*-1)\/(sqrt(800) - (sqrt(800)*-1 - sqrt(800)) - sqrt(800)) + 2)**2.\nAnswer: -225\/8 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 5*r - 38, -2*r - 3 - 7 = -3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 6*u - 92 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/15*(427\/28 + -7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 10:47 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 23*m + 15. Does 3 divide n(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -77*a**3\/6 + 28*a**2 + 526*a + 2. Let y(i) = -4*i + 3. Calculate 3*h(j) - 56*y(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 941 + -653. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22.2 - -22.7. What is the smallest value in y, -1390, -3?\nAnswer: -1390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 713538, 713575, 713636, 713721, 713830, 713963?\n\"Answer: 12*f**2 + f + 713525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 705, 1591, 2831, 4425?\nAnswer: 6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 51862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18552787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 98340.22 minutes in seconds?\nAnswer: 5900413.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*u**3 - u**3 + 4*u**3)*(-74*u + 48 - 18 - 232*u - 26).\nAnswer: -6732*u**4 + 88*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 - -28. Suppose 44280 = -7*f - l*f. Round f to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3325101395.\nAnswer: 5, 7, 11, 8636627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*u - 48*u + 235*u - 26*u - 70*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 57821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -51*c**3 - 52*c**2 - 411*c + 46. What is the thousands digit of r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o - 21. Let v be d(-6). Is -2*(-3)\/v + (-2363)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42785 + 63212. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -14*u + 6. Let q(c) = 14*c - 5. Suppose 73*i + 3408 = 3116. Give i*b(j) - 5*q(j).\nAnswer: -14*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**2 - 4*y - 8. Suppose -4*l + 4*s = 3*s - 23, -2*s = -l + 11. What is n(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + i**2 + i - 4. Let c be a(0). What are the prime factors of 46 - (7 - (c - -8))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lkkkklllkkll. Give prob of picking 1 l and 2 k.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 464 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -7*h**2 + 4*h + 8. Let w(j) = 12*j**2 - 8*j - 15. Let s(a) = 5*k(a) + 3*w(a). Let r be (28\/49)\/(1\/7). Give s(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and -0.1?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189*q = 92*q - 1405 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 21*i + 120. Let r be g(-13). Solve 18*p - 22*p + r = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24452.751 months to years.\nAnswer: 2037.72925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 726 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -466\/5  (b) 2  (c) -12  (d) -3  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -8*n + 7. What is t(8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 178134148 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 5*u + u. Suppose -4*i + u*i = 15. Suppose g - 4 = -3*z, -g = i*z + 2*z - 4. Solve -4*w + 0 = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 1) + -3 - (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/5897 and -41\/2369?\nAnswer: 13969993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0222 + -0.017. Let n = -0.005413 + f. What is n rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.058783 - -5\nAnswer: 4.941217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of 283*c**3\/6 - 65*c. Let j(q) = -q. Give x(j(a)).\nAnswer: -283*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 3)\/(-3 + 1). Let x = -2 + 5. Suppose 33 = x*l + u, -l + 4*u = 3*l - 60. Solve 3*y = k, 3*s - 7*s = y - l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 4\/3, -0.4, 2\/9, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (365\/438)\/((-10)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - -0.7. Let w = 1.5 - x. Let c = -5.3 - -5. Is c bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*30\/2200)\/(298\/1639)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7580341 is divided by 613?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 160*s**3 + 3*s - 2. Let p(l) = l**2 - 5*l + 5. Let i be p(4). Is n(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*u\/u**(-2\/11)*u*u)\/u)**42 assuming u is positive.\nAnswer: u**(1932\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.47 - 0.77. What is the closest to 2 in 2, y, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 20*n**3 - n + 1. Let k(m) = m**3 - m + 1. Determine k(p) - o(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + a - 2)*(3 + 8*a - 3 + (-2*a - 2*a + 2*a)*(-2 - 4 + 3)) in the form j + b*a + o*a**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.4  (b) -16  (c) 2\/7  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -m + 8 + 3, 0 = 2*g - 5*m + 6. Solve 0 = i - g*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from avivmiajavavvm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1332 - -1380. Let s = 17 - 12. Let v = s + 28. Calculate the lowest common multiple of y and v.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 44  (b) -4  (c) 0.0488  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 + 3*w - 4. Let j be 2 - (-3 + 1 + 1). Suppose -j = -g + 2. Let c = g - 8. Determine u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30226819637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*o + 6 = -17*o. Suppose 7*c = 3*c - 80. What is the lowest common multiple of (-12)\/c*(o - -9) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h - 2. Let j = 365 - 339. Calculate the remainder when j is divided by y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 9) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38\/57*6\/(-240)*-4)\/(10\/(-50))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(-2 + 2 + a**2) + (0*a + 3*a - 2*a)*(-341 - 307 + 560)*(-a + 2 - 2).\nAnswer: 87*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*j - 8 = 138*j - 5*t, t = -j + 40. Calculate the smallest common multiple of j and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57710*c = -5*b - 57708*c + 10, -5*b + 30 = 2*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pjppppj. Give prob of sequence jpjp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3, -35, -97, -195, -335, -523, -765, -1067?\n\"Answer: -k**3 - 9*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is 4158 divided by -9?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*u**4 - 42*u**2 - 85 wrt u?\nAnswer: 12*u**3 - 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1925769.3 days in weeks?\nAnswer: 275109.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10801 at most 10800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, i: 10, b: 3, k: 2, h: 2}. What is prob of sequence bib?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -555*t + 1670. Let a be u(3). Suppose 7*d - 2*d - 15 = 0. Suppose -d*f = -3*r + 18, 4*f + f = -r. Solve -g + 5*g = -20, -r*x + g - a = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-3*(sqrt(119) + sqrt(119)*-3) + sqrt(119))\/(sqrt(42)\/(-1*sqrt(6))))**2.\nAnswer: -42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d\/((d**(-4)\/d)\/d)*d))\/(d*d**29)*(d**(-8)\/d*d)**(2\/61) assuming d is positive.\nAnswer: d**(-2334\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-270)\/(-4) - (-7)\/(-14). Suppose 5*t + f = l + 21, -4*t - f + 70 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/5)*n)**(-9\/4)*n**0*n*n*n**(1\/5)*(n*n**0)**31*(n**(-1\/2))**7 assuming n is positive.\nAnswer: n**(567\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-5*sqrt(77)\/((-1*sqrt(33))\/sqrt(3)) + (6*sqrt(70)*1)\/(2*sqrt(1440))*-6)**2.\nAnswer: 27783\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 249601520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 16) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159498?\nAnswer: 2, 3, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1275 + 25874?\nAnswer: 27260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -429 + 459. Suppose 3*w = -0*w + 12, -5*n + 4*w = 61. What is the tens digit of q + n\/((-18)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 395309218162 and -9?\nAnswer: 395309218171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2012 + -23?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + (1 - (-9 - -15 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -17*a + 2. Let i(y) = 11*y - 1. Let v(g) = -5*b(g) - 7*i(g). Let o be (-2)\/(-1*1*1). Does 13 divide v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p - 4. Let o be -12*(-1)\/4*-2. Let f(i) = 1. Let r(q) = -1 + 4 + 2 + 0. Let u(t) = 6*f(t) - r(t). Calculate o*u(c) - v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 161231765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 102522560*f**4 + 7980258*f**2 - 5*f wrt f?\nAnswer: 2460541440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -1, 2, -5 in decreasing order.\nAnswer: 11, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (38 + (-58 - -29)) - (46 + 0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*d - 2*a, 5*d - 9 = 4*d - a. Let z be (0 - -2*(-1)\/3)*-6. Find the second derivative of b**4 + 3*b - 3*b**4 - z*b**4 + d*b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/5 + ((-144242)\/280)\/(4\/32). Round k to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 37*a**2 - 6*a + 1. Let z be w(2). Let g = z + -146. Does 25 divide 4 - (-6)\/g*-444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 519 times -4\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 10:46 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 5, -v = o - 0 + 1. Suppose 16 = 5*c - 4. Suppose 3*a + 5 = w, v*w - c*a = -a + 20. What is the highest common divisor of 55 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v - v - 3 - 3*v**4 + 4*v**2 - 2*v**2 + 4*v**4. Let u(r) = -3*r**4 - 7*r**2 + 7*r + 10. Let a(w) = 7*i(w) + 2*u(w). Differentiate a(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -402 - -283. Let f be 0 + -2 + t\/(-49). Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 12690924, 25381844, 38072762, 50763678, 63454592, 76145504?\n\"Answer: -g**2 + 12690923*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 405 - 6?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c - s - 413 = 0, 5*c - 73422 + 73717 = -s for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -17. Let j = g + 23. List the prime factors of (-27)\/j - (-24 - 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k - y - 6 = 17*k, 4 = -4*k - 3*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from ppqpppq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/7  (b) -2  (c) 3  (d) -3  (e) 3\/2  (f) -682\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**2 + 4756170*o - 5655288267225 = 0. Calculate o.\nAnswer: 2378085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392 is divided by 278.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 140 divided by 140\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 0.7  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -r**8\/6720 - r**7\/630 - r**6\/144 - r**5\/24 + r**4\/4 + 3*r. Let v(c) be the third derivative of j(c). Is v(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -270\/51097 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -674979946 divided by -337489973\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = s + 1. Suppose s*r - 3*r = 231. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -4. Let z = -565 + 736. Suppose -q*f = 5*f - z. Calculate the remainder when 73 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -h**4\/12 + h**2\/2 - 29*h. Factor l(y).\nAnswer: -(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 661*n**3\/3 - 3*n**2\/2 - 14*n - 5. Let g be x(-11). What is g rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r**3 + 18*r**2 - 38*r + 2. Calculate i(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**4 + 10575*v**3 - 27888762*v**2 - 364661308*v + 840793080 = 0.\nAnswer: -15, 2, 5294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z - 3*z - z**5 + (-6*z**2 - z**2 + z**2)*(-4*z**2 - 2*z**3 + 4*z**2) + z**5 + 0*z**5 + 3*z**5.\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 893, 3558, 7997, 14210?\n\"Answer: 887*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (45 - -1)*1 + 0 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from faipcaaaaifaipaapf?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*j - 18*j - 345 = -18*j - 8*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -95*p**3 - 15*p**2 - 16*p. Let a be x(-1). Suppose -4*i - 32 = -2*f - 0*i, -4*f + 56 = -4*i. What is the greatest common divisor of a and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.23*-21\nAnswer: 4.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750 - 1405*b**2 + 3670*b**2 + 3740*b - 1485*b + 5*b**4 + 765*b**3 = 0.\nAnswer: -150, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {l: 3, a: 4, q: 1, u: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1826 times 44\nAnswer: 80344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 798671237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 11*j**2 + 10*j - 3. Let u be b(10). List the prime factors of ((12\/8)\/u)\/(2\/(-164)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -k + 1, 3*p + 0*k - 19 = 4*k. Let h be 87\/4 + 63\/(-36) + p. Solve 22 - h = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1674051609 divided by 3.\nAnswer: -558017203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 200 and 220.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**3 - 227016*c**2 - 454108*c + 3405360 = 0. What is c?\nAnswer: -5, 3, 56756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*l = -2*o + 2, 0 = 5*o + l - 17. Let i be (o\/64)\/1*-5. Let x = 83\/112 + i. Which is the nearest to 1?  (a) -1  (b) -0.2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -8*j**2 + 3189*j - 5. Let v(a) = 11*a**2 - 4785*a + 7. What is 5*v(t) + 7*z(t)?\nAnswer: -t**2 - 1602*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49344, -197461, -444348, -790005, -1234432, -1777629?\nAnswer: -2419596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1500980 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40*t**2 - 325*t + 40.\nAnswer: 5*(t - 8)*(8*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(220) - (sqrt(220) + sqrt(220)*-3*-5)) + sqrt(220) - sqrt(220))\/(1*2*sqrt(605)).\nAnswer: -15*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 222362 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(44) + -1))**2 - (sqrt(77) - (sqrt(77) + (sqrt(77)*2 - sqrt(77))*-2))\/sqrt(7).\nAnswer: -38*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l. Let i(y) = 44*y + 1. Let z(s) = -44*s. Let m be 32\/272 + 66\/17. Let g(b) = m*z(b) + 3*i(b). Calculate j(g(v)).\nAnswer: -44*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of v**4\/24 + 2*v**3 - v**2. What is the units digit of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -17*m - 9. What are the prime factors of a(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3744\/432*(-24)\/52\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, q: 2, s: 3, a: 2, t: 4}. What is prob of sequence tsqd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 172553280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 45482071 minus 99?\nAnswer: 45481972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, c: 3}. What is prob of picking 2 y?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 240896*-14\nAnswer: -3372544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.23478063 - 636870779.23478063. Let f = g - -636870765.00000006. Let z = f + 7. What is z rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -4*t**2 - 170*t - 872. Let h be d(-6). Solve 62 - 68 = -5*g - k, 0 = 4*k - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + 5*w - 3. Let c be f(3). Let j = 5 + c. Suppose 3*z - 14 = -5. Solve 2*r + 5*g + j = -8, 4*r - 20 = z*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1670, -3354, -5054, -6770, -8502, -10250?\n\"Answer: -8*w**2 - 1660*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5.2, 0.3, 14, 0.4, -0.007 in descending order.\nAnswer: 14, 5.2, 0.4, 0.3, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16413368 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 138911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = i + 7. Let j be (-2)\/i - (-39)\/15. Let y be 1 + 0 - (j - 3). Is 0 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqy when three letters picked without replacement from {h: 6, t: 1, o: 3, q: 1, d: 4, y: 1}.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of 5*j**4\/4 - 70*j**3\/3 + 285*j**2\/2 - 360*j - 122. Factor x(s).\nAnswer: 5*(s - 8)*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 522.2161 milligrams?\nAnswer: 522216100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.266*321266\nAnswer: -85456.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdd when three letters picked without replacement from mjjjmjjmmmmdfmdd?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 163120 times 5\nAnswer: 815600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -41212234 + -22?\nAnswer: -41212311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 + -74. Sort -1, -0.1, 2\/5, n in descending order.\nAnswer: 2\/5, -0.1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**3 - 9*g**3 - 4*g + 8*g**3 to the form o*g**2 + v + h*g + w*g**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 - -95. Let d = 17.2 - h. Let n = -37 - d. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221913 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 81 = 47. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1102, -7, -2, 53 in descending order.\nAnswer: 53, -2, -7, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296.495 centuries in years?\nAnswer: 129649.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 159009364 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2978\/569 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/15 + 23\/(-5). Put v, -1, -6 in decreasing order.\nAnswer: -1, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 4, -244, -4, 1, 2 in ascending order.\nAnswer: -244, -16, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 7 - 10) + (14 - (-1 + 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 6*i**2 + 2*i - 3. Let z be p(6). Let l = 9 - z. Let r be -1 + 6 - (l - -2). What is the highest common divisor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3 - 6\/(-180))\/(1 - 2).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 6 - 57 = -3*k, -2*k + d = -41. Calculate the remainder when 64 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*t + t. Let m(c) = -c. Let i(n) = -4*n + 2. Suppose k + 3*k = -4. What is k*i(v) + t*m(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (3 - (-1 - -2)). Let q be 0 + (-4)\/(-3 - 1). Suppose -2*d - 2*y + 10 = 0, -q + 5 = -d + 2*y. Solve c*j = -d*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.486255 millennia in centuries?\nAnswer: 4.86255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1433 + -2518. Let h = -5376\/5 - j. Calculate the common denominator of h and -5\/37.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -166ebe64 + -2?\nAnswer: -166ebe66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55.9 + 56. Suppose 5*h + 4*o - 5 = 0, 3*h + 3*o = 2*o + 10. Let d be 2\/8 - 9\/4. What is the closest to d in h, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -6*j**2. Suppose -2*f + b + 3 = 0, 3*f + 0*b - 7 = -b. Let d(u) = 1 - f + 2*u + 1. Give d(o(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -18 + x**2 + 11 + 8*x + 7. Suppose c - 22 = 5*o, -2*c - 3*o + 4*o + 8 = 0. Suppose z = -0 - c. Let b(w) = -w. Calculate z*f(s) - 14*b(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, k: 2, h: 1, c: 4, u: 3, a: 3}. What is prob of sequence whk?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*x - 36. Let v be -11 - x - -5*1. Suppose -39 = v*y - 94. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 7*g - 232 = 0. Let v = 61 - g. Factor -4 + v*m**3 - 6*m**2 + 5*m**4 + 10*m - 3*m**4 - 5*m**3.\nAnswer: 2*(m - 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**5\/15 - d**4\/24 - 5*d**3\/6 + 5*d**2. Is t(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**3 + 72 + 69*y**2 - 4*y - 69*y**2.\nAnswer: -2*y**3 - 4*y + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 11*a**3)*(3 + a - 3).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/5)\/(13\/1430). Let q = -36 + b. Is (-30)\/(-120) + 3286\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11101000100101 (base 2) to base 5.\nAnswer: 434020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 5:59 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8545000 divided by -500?\nAnswer: -17090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011 (base 2) in base 4?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -3. Suppose c = -4*g + i + 46, -g - 4*g + i + 57 = 0. What is the remainder when ((-9 - -6) + 6)\/((-1)\/(-7)) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 107998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kzku. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 500846815 to the nearest integer?\nAnswer: 22380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuzzuuuuzuuzuuuuz. Give prob of sequence zzz.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248*c + 724 - 4196 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**6\/3 + 7*z**3\/3 - 8. What is the third derivative of x(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -375*t + 966 - 10505 = 11057 + 7904 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96362, 192754, 289146?\nAnswer: 385538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4332 + -13541?\nAnswer: -22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21535*u**4 - 18694 wrt u.\nAnswer: 86140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -308*u**3\/3 + 177*u**2 + 636*u. Differentiate h(b) with respect to b.\nAnswer: -616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - -6) + 34 - 42\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 3*s**2\/2 - s + 38. Calculate m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -3*m**5\/10 + m**4\/3 + 65*m**3\/6 + 2091*m**2\/2 - 4869*m. What is the derivative of u(n) wrt n?\nAnswer: -18*n**2 + 8*n + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16038721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 659 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f - 12. Let g be y(-5). Suppose 2*z = -3*l + 25, 4*l + 5*z - 41 = -g. What is the greatest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of u**5\/150 - u**4\/15 + 4*u**3\/15 - 2*u**2 - 57*u. Let i(k) = 0. Calculate k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2362 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 18. Suppose 2*p = -3*l + 30, -7*p + 3*p + 60 = 4*l. What is the remainder when z is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88 - 84. Solve 0*w + w = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = h - 3*h. Let f = 7 + h. Suppose f*g = -g + 93. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 1931062.\nAnswer: 5793186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*1 + -1*sqrt(7)*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 6848, 0, -2\/7, 65\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -61, -5, -1, -2\/5, 104\/25, 1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 41*z**2 + 327*z - 8. Calculate o(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-186)\/(-155) - (-1244)\/70) + -19.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*s = 48, 7*s - 11*s = 4. Solve 15 = j*r - 23*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 26230*w + 577129. Determine k(-22).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-27 - 0)\/9)\/(3\/10). What is the tens digit of (v\/3)\/((-4)\/378)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 10:46 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 721 and 1270711?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 172605*o**2 + 9*o - 16. Let c be s(4). Round c to the nearest ten thousand.\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 91*s**2 + 7*s. Let h be b(-1). Calculate the highest common factor of h and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 465 = -2*q + 1643. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7010 - -2?\nAnswer: -700e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*o = -198, 8*o = -3*s + 13*o + 295. Calculate the highest common divisor of 120 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1803 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 - 142527296*y**3 - 1 + 142527297*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01374945 rounded to 5 dps?\nAnswer: 0.01375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 86064 a multiple of 978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -12. Sort 0.1, -2\/159, z in descending order.\nAnswer: z, 0.1, -2\/159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 3*l**2 + 3*l - 17. Determine v(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**6\/120 - 19*f**5\/60 + 19*f**4\/12 - f**3\/2 + 34*f**2. Let p be l(17). What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/14?  (a) 3\/4  (b) -2\/3  (c) -0.3  (d) 77171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -7*1 - (3 + -2). Let w be 2 + 2 - (4 - 0). Is 2 - w - 3 - r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214437.6 + 95365567?\nAnswer: 95580004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3314?\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/276217085 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 - 13968*j - 12194064.\nAnswer: -4*(j + 1746)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(51)*3 + -5*sqrt(153)\/sqrt(3))\/(3*sqrt(48)*-5*3).\nAnswer: 2*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81 + 32825\/(-404))*(-292)\/(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (r - 2*r + 0*r)*(0 + 3 - 2) + 4*r - 10*r + 15*r + 7 - 7 - r as i*r + l and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -29*t**3 + 328*t**2 - 14*t - 932. Give v(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/5  (b) -3  (c) 29  (d) 2  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 6 = -2*z, 0*g - 2*g = 3*z - 6. Let c = 5\/87 - -4064\/435. What is the common denominator of g - (2 + 33\/6) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121 + 589 = 156*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 46538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 520.37231 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u. Let v be b(-16). Suppose -5*d = 3*t - 494, -t + 160 = -4*d - v. Suppose 6*h - t = -18. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 6*l**3 - 6*l**2 - 3*l. Suppose 0 = 2*a - 0*a - 4*i - 6, -3*i = -4*a - 13. Let t(c) = -11*c**3 + 11*c**2 + 5*c. What is a*k(z) - 4*t(z)?\nAnswer: 2*z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*i - 10 = -0*i, 3*i = 3*g - 21. Let q(p) = -7*p**2 + 8 - 21*p + p**3 + 1 + 8*p. Does 18 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 346*h*k**2 - 14*h*k + 14*h*m**3 + h*m + 635*k**2*m**3 + 78*m**3 + 546 wrt k.\nAnswer: 692*h*k - 14*h + 1270*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 5, -4, 114.2, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27*f**2 + 448*f - 1156446.\nAnswer: -54*f + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3396 = 3*k, 3*k = 4*k + 5. What are the prime factors of i?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 6, -w - 4 = -0*x - 3*x. Suppose -193*h - 10 = -203*h. Sort h, w, 6 in decreasing order.\nAnswer: 6, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230652 divided by 6.\nAnswer: 38442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-12 - (22 + -37)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3729 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.75 and 0.9.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p - 4*l + 52, 3*l = -p - 31. Let v be (-1)\/(-3) + p\/(-6). Find b such that 0 - 2\/11*b**3 + 0*b**4 + 0*b**2 + 2\/11*b**v + 0*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22909.\nAnswer: 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 467046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 6:47 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 25*z**2. Let b(c) = 536608*c. Determine b(n(d)).\nAnswer: 13415200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jjjjjcjcyjmjjjcyjmjc.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -149.7, -2.9, -2\/5, -2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, v: 4, b: 1, f: 3, p: 7}. Give prob of sequence pjpv.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/sqrt(3))\/sqrt(3) + sqrt(20))\/(sqrt(1440)*1) + 1 + -1*(-2*(-1*sqrt(2)*-6 + sqrt(98) + 1 + sqrt(98) + sqrt(98)))**2.\nAnswer: -5835 - 1295*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-441)*21)\/(((-128)\/(-1656))\/(-8)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -571 divided by 7548?\nAnswer: -571\/7548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (994\/490 + 9\/(-21))*20\/(-8). Let c = -50 - -199\/4. What is the second biggest value in s, c, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19691 - 9371. Is j a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + o**2 + 4*o + 13. Determine y(6).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 h when four letters picked without replacement from {i: 9, h: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 9*a**3 + 7*a**2 - 156*a - 449. What is w(-3)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -0.236\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 15 = -3*i, -2*i + 0*i + 18 = 2*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 13*g + 11 + 16 - 3 + 1. Suppose -5*l = -18*h + 22*h - 33, 3*l = -2*h + 21. Is n(l) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of p**5\/120 - p**4\/48 - p**2 - p. Let s(f) be the first derivative of v(f). Let s(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 7)*(79 - 79 + 24*z) - 1 + 2 + 2*z + 1 + (-2*z + 4*z + 0*z)*(5 - 3 - 1).\nAnswer: -92*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6273231771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(((w*(w**(-2\/5)*w)\/w)\/w)\/w)))\/w)**(-40)\/(w**(-2\/9))**(32\/3) assuming w is positive.\nAnswer: w**(2656\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 203.0603 - 203. Round o to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t - 19. Calculate the smallest common multiple of 8\/(-28) + (-170)\/(-7) and v(5).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (66\/9)\/((-6)\/(-9)). Let k = n - 9. Suppose 0 = -a + 2*a + 1. Put k, 4, a in increasing order.\nAnswer: a, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6224\/(-720) + 24\/120 - -6.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(84)\/((sqrt(198)\/sqrt(6))\/sqrt(11)))**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 9 = -3. Solve -k = -2*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 14597189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2420))\/(sqrt(4) - (sqrt(8)*-1)\/sqrt(2)) - (-1*sqrt(3630) - sqrt(3630))\/(sqrt(6) + 2*sqrt(600) + sqrt(6)).\nAnswer: 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/17  (b) 3  (c) 10\/3  (d) -3392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6 = -q. Is (-5)\/q*(-3 + -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1495, 1501, 1517, 1549, 1603?\n\"Answer: o**3 - o**2 + 2*o + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84371 divided by -17.\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100648 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54283881 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(32\/(-48)*(-4)\/4)*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*g = -14, -8 = 3*g - 20. Suppose 0 = -v + 8 - p. What is the lowest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7*(3 + 51\/(-7)). Let g be (-5)\/b*14*6. What is the derivative of g*o + 9*o + 11 - 30*o wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2284*w. Let x(t) = -t**2 - 62. Let r(k) = 31. Let z(v) = -2*r(v) - x(v). Calculate z(d(a)).\nAnswer: 5216656*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009368211 rounded to 7 decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -14. Let w = -0.349 - -2.349. What is the nearest to w in -0.6, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 4*n**2 - n + 8. Let o be k(4). Suppose -5*a = -o - 1. Let t be 112\/a - (6\/1 + -9). Round t to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of 7\/24*o**4 + 0 - 1\/15*o**5 + 0*o - 1\/120*o**6 - o**2 + o**3. Suppose -4*a - 6*s = -s - 5, 0 = -5*s + 25. Determine r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-12)\/(-5))\/6)\/((-2)\/230). Let a = 25 - s. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.7987 - -7.5087. Let r = -0.1 - -0.2. Which is the nearest to 0.1?  (a) r  (b) h  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/592 and -61\/272?\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 238855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 5 - 8. Let z(q) = -q**2 - 2*q + 2. Let f = -2 + -1. Let l be z(f). Put -5, l, d in decreasing order.\nAnswer: l, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13169, 52753, 118751, 211163, 329989, 475229, 646883?\nAnswer: 844951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 160\/(-1200) - (-32)\/15. Suppose j = -3*j. Which is the second smallest value?  (a) j  (b) u  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (116\/118 + -1)\/(-265 + 104607\/394)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(495)*-2*-1)\/((sqrt(66)*1)\/sqrt(6)*6) + -3.\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*u - 17*u + 6. Suppose 21 = 2*z - 3*z - 4*p, u*p = -z - 13. Which is smaller: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + s + 3. Let u be h(0). Let j(k) = k. Let d be j(0). Suppose -q - q - 10 = d, 5*v - 95 = -u*q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 2)\/(-2*2\/20). Suppose -3*a + 12 + 7 = -d, 33 = -2*d + g*a. Put d, 3, -3\/2 in decreasing order.\nAnswer: 3, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -2*l - 18, 3*l - 44*q + 17 = -42*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -8, -2, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -920504 greater than or equal to -920499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/77  (b) 1  (c) -241  (d) 0  (e) -99  (f) 5  (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6020 divided by -662?\nAnswer: 3010\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**5\/x)\/x**(-1\/13)*(x**1*x)**32)\/(x\/((x**(-2\/13)\/x)\/x)*x*x**9)**(-12\/5) assuming x is positive.\nAnswer: x**(6542\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -2\/9, -3\/38 in decreasing order.\nAnswer: -3\/38, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.0917747, 5, -3, 1\/7, 2?\nAnswer: -0.0917747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 210*x. Let z(f) = 11*f. What is -6*s(a) + 117*z(a)?\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 5 = -w, 1444*a + 15 = 5*w + 1442*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 57170\/251 - 754289\/15060. Let a = 1097\/6 - f. What is the common denominator of a and 11\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202322 (base 4) to base 12\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*n + 1 + 2 = 0, l - 5*n - 3 = 0. Suppose 10 = -u + l*u. What is the remainder when 19 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*y**2 + 124*y**2 - 57*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -761144?\nAnswer: 761143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from vlvkzvvkzkvdkkz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or -540?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2.9 * 18493\nAnswer: -53629.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - n**2 + n - 9. Let l be g(4). Let z = -37 + l. Let f(a) = -a - 1. What is f(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-19)\/(-2) + 13\/26. Let f = l + -16. Let v be 20\/11 - (8 + f). Is 0 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/7007 and 37\/6083987?\nAnswer: 66923857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12053674159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 683*q**3 + 659*q**3 - 1369*q**3.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-62)\/(-10)*18 - (-11 - -13). Let h = l + -110. Let q be 77\/21 - 1\/(-3). Which is the closest to 0.8?  (a) q  (b) -1\/4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geuegegeegg. What is prob of sequence egg?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kaau when four letters picked without replacement from {a: 8, u: 2, k: 2}?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 6*v + 2*b, -3*v = -4*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -d + 3*d - 12, 5*d = 3*o - 35. Suppose 5*x + o*i + 20 = 0, -i - 2 = -0*i. Let h = 33 - x. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 82349\/50 - 1647. What is the second biggest value in 4, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/6*48\/160. Which is the nearest to 0?  (a) -2\/13  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1527 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*r + 6. Suppose 7*n = r*n. Suppose n = 5*k + 4*d - 37, 0*k - 4*d + 17 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*l = 30. Let n be (-8)\/l*2\/4. Find d such that n*d**2 + 2\/3 + 4\/3*d = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1383)\/(-5532)*(-129)\/(-6)*8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*k - 103 = -147 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -268 + 134. What is the remainder when (-2 + 3)\/((-2)\/g) is divided by -3 + 33 + (-63)\/((-90)\/(-10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l**2 - l + l)*(-9*l**2 - 9*l**2 + 11*l**2) + 2*l**3 + 3*l**4 - 2*l**3 as u*l + v*l**3 + k + g*l**2 + y*l**4 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1681\/4 - 41\/2*r + 1\/4*r**2.\nAnswer: (r - 41)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2*s = -15. Suppose -212 - 51 = -s*l - 4*z, 4*l - 3*z - 229 = 0. Is (-2)\/((8\/l)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*y = 56*y - 14884. Solve y = 28*p - 150*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - -107) + -60 + -62?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 333736738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -632*f**3 + 2*f + 631*f**3 - 6 - f**2 + 4. Give c(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4074 and 437082.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -2 - 5\/84*z**4 + 0*z**2 + 43*z - 1\/140*z**5 + 1\/7*z**3. What is l in o(l) = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*y = -27. Suppose 5*z - 16 = 3*z. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.759489 milligrams in tonnes?\nAnswer: 0.000000007759489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 13, i: 4, k: 3}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 24*f - 76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w**3 - 67*w**2 + 248*w - 1030. Calculate p(19).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ixn when three letters picked without replacement from xpniq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -h + 5. Suppose 132 = h*u - u. What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -126 - -14. Let o = l - -192. Suppose o = 3*f - f. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**5 - z**4 + z**2 - 2*z. Let q(y) = -5*y**5 + 30*y**4 - 40*y**3 - 220*y**2 - 25*y + 270. Let j(t) = q(t) + 10*s(t). Solve j(d) = 0 for d.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1296216 and 81702?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.529908l?\nAnswer: 529.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 118751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*r + 16 = 220. Let u(w) = -w**2 + 5*w - 4. Give u(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -865797 equal to -865796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 11 - 12. Let y be 1*(129\/(-1))\/(z\/1). Suppose -19*m = -22*m + y. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 3 + (-2 - 1 + 1)*(3 - 3 + 1))*(34553*i + 34208*i - 65661*i).\nAnswer: 3100*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 + -3 - -24) + 3 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129073 + 129334 = -29*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -643327\/8853 + 3\/2951. Let b = 72 + y. What is the biggest value in -5, -2\/19, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 3. Let m = -55.891 + 56. Let j = m - 0.009. Which is the second smallest value?  (a) -4  (b) j  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 4*i + 6 = 0. Let o(g) = -i*g + 2*g + 0*g - 3*g. Let j(k) = k - 2. Let n(r) = -2*r + 3. Let h(l) = -3*j(l) - 2*n(l). Calculate h(o(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2.9972973 months?\nAnswer: 0.249774775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z - 12. Let r(j) = 23*j**2. Calculate l(r(b)).\nAnswer: 23*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4150 + 3619. Let j(l) = 8378*l**2 - 531*l. Let k(n) = -63*n**2 + 4*n. What is q*k(z) - 4*j(z)?\nAnswer: -59*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -12*v + 54. Suppose 3*q - q - 4*q = 0. What is the smallest common multiple of 22 and j(q)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11864981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + c**2 - c - 15300. Suppose -f = s + s - 8, -16 = -5*f - 4*s. Let w be x(f). Round w to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 625 is divided by 4*(11060\/16)\/35.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15 + -23 - 8\/(-2). Let b(h) = h + 6. Let x be b(-1). Sort -5, x, k in descending order.\nAnswer: x, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**6\/120 - 7*o**5\/30 + 7*o**4\/12 - 19*o**3\/6 + 201*o**2 - 1. Give n(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*w**2 - 10*w - 2*w + 15*w + w - 3*w.\nAnswer: 307*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -93, -119, -111, -57, 55, 237?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-1))\/(3\/2)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3749284 and 3102.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 7:53 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/2 + 7\/(-21). Let x(r) be the first derivative of 1 - k*r**3 + 0*r**2 + 1\/2*r**4 + 0*r. Factor x(b).\nAnswer: 2*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*z + 185*z - 21832 - 87878 = -668*z for z.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -331 (base 14) to base 10.\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 20 = 41*g - 97*g + 51*g, 0 = 5*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 98\/26) + 1 + (-725)\/325\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 415.7106ml to litres.\nAnswer: 0.4157106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) 13\/6  (c) 0.7  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - (30518\/3 + -4). Let z = v + 10253. Let w = -12323\/141 + z. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 55*v + 4. Let l(j) = 57*j + 5. What is 5*l(o) - 6*w(o)?\nAnswer: -45*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence am when two letters picked without replacement from uaaqcauqauaaqmc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2192407 is divided by 6725.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 56*w = 60*w - 4, -4*w + 16 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 3*c = -c + 8, -6 = -q + 5*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h. Let t(n) = n**2 - n + 5. Let b(r) = 72*r**2 + 5*r - 23. Let o(p) = -b(p) - 5*t(p). What is o(u(c))?\nAnswer: -693*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 + 10011111000000001011000?\nAnswer: 10011111000000001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-93)\/((-2325)\/(-350)) + 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -221556.22 and 4.\nAnswer: -221552.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -6, 0.1, 185, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 1.3, -15416?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 12*n**2 - n + 13. Let l(y) = -3*y**2. Calculate -5*l(j) - o(j).\nAnswer: 3*j**2 + j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -3 + sqrt(405))**2 - (6*sqrt(20) + sqrt(605) + -1).\nAnswer: -95*sqrt(5) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -0.2. Let m be (-1 - (-3)\/10) + (-11)\/(-110). Let f = -4.5 + 5. What is the nearest to a in -0.2, f, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 - (15 - -19) - (1 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -0.1  (b) 0.3  (c) -4  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -14, -3, -5, 1\/2, -6\/49, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (-22 - -29) - (7 - -24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -30, -60, -90?\n\"Answer: -30*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50053809 is divided by 3237.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 21 = -4*u + 161, -2*u + 4*v = -44. Let p be (-3)\/(2*u\/8). Which is the nearest to -0.1?  (a) p  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -18*i**3 - 473*i**2 - 436*i + 37. Calculate o(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h**2\/7 + 885*h + 37224\/7 = 0. Calculate h.\nAnswer: -47\/8, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-78)\/18 + -1 + 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + -11 + -8 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 - -182. What is the common denominator of 8\/(-28) + (-37)\/(-14) and (p\/40)\/((-2)\/4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214 + 591 = -29*p. Let n be p + 5\/1*4\/5. Suppose w - 4*f - 8 = 5*w, 2*f - 4 = 2*w. Sort 1, -3, w, n in decreasing order.\nAnswer: 1, w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 7 = -y + 1, 0 = 3*y - 7*t + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -5*i - 7 + 3*i + 5*i + i. Let j be k(2). Calculate the greatest common factor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12475*r**2 + 36*r - 421387.\nAnswer: -24950*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -116*n. Let v(h) = -h**2. Calculate o(v(b)).\nAnswer: 116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -11*n**2 - 223*n - 294. Let b be s(-22). Suppose 5*g = 4*d + 2873, -g + 737 = -d + 4*g. Does d = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*3\/(-4)*2*77\/10857?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 396*i**2*w**3 - 2*i**2*w**2 - 2*i**2 - 5*i wrt w?\nAnswer: 2376*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -234\/53 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.912216 rounded to four decimal places?\nAnswer: -0.9122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*q + 10 = -60*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -30076, -252, -4 in decreasing order.\nAnswer: -4, -252, -30076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 57*o**4\/2 + o**3\/6 - 3*o**2\/2 - o - 47. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1886394967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**2. Let i be c(1). Let s be (24\/i)\/((-3)\/(-4)). Let g(r) = 10*r + 378. Let q be g(-37). What is the greatest common factor of q and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/8, -4, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5.3 * -47060\nAnswer: 249418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, h: 7, u: 1}. Give prob of sequence uhh.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -79. Let h = 131 + -84. Suppose h = g - r. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 0.3, -444, -0.4, -7\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29994229849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 8 = p, -5*v - 30 = -10*v - 5*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45193, 48365, 51537, 54709?\nAnswer: 57881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 775*q + 14781.\nAnswer: 775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 592\/7 + -2739\/28. Find the common denominator of f and 19\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6984 is divided by 3489.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*x**3 - 6 - 10*x**3 + 6.\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -t**5\/4 - 335*t**4\/4 - 13775*t**3\/2 + 42335*t**2\/2 - 85345*t\/4 + 28561\/4 = 0.\nAnswer: -169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000040763531 rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -40, -12, 18, 50, 84?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of 5*a**7\/42 + a**6\/6 - 3*a**5\/2 + 5*a**4\/6 + 25*a**3\/6 - 15*a**2\/2 - 42*a. Factor w(z).\nAnswer: 5*(z - 1)**3*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(0 - 2 + 1)*(-4*y + 358*y + 54*y + (1 + 1 - 4)*(y + 1 - 1)).\nAnswer: 406*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 429 and 4433?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 189*z + 2. Let o(h) = -66077 + 2*h + 66077. Calculate o(g(f)).\nAnswer: 378*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 111486*g**2 - 3*g - 26686*g**2 + 2*g + 5. Let y = 66 + -61. Let i be u(y). Round i to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1157\/7 - -165. What is the nearest to n in -4, 4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -13*g - 39 + 119, 5*g + 4*l - 37 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32 + 168\/(-77) + 2\/11. Let -10*g + v*g - 3 + 3 - 25 + 5*g**2 = 0. What is g?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -9*h + 20. Suppose 7*z + h = 2*z. Does 23 divide (-164)\/(-6)*(-3)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72*z**2 - 68*z**2 - 1 + 2*z + 3)*(3*z**2 - 2*z**2 + z**2).\nAnswer: 8*z**4 + 4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6708*g*j - 77511*g + 5*j with respect to j.\nAnswer: 6708*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/((-25)\/5))\/(1\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -59*b + 25*b + 29*b. Suppose -6*p + 8 = -10*p. Let l be 84\/22 + p\/(-11). What is i(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1 - 1347*b + 1355*b - 116*b**3 + 117*b**3 + 5*b**2. Determine i(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (138\/4)\/((-11)\/(-2)) + (-3390)\/12430?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**3 - b + 2. Let l be p(1). Let r(s) = -2*s + 2. Calculate r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29565 and 272655.\nAnswer: 2453895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 568787 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: c97 (base 13) to base 12\nAnswer: 12b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 508 divide 132459984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/((-25)\/5 + 7). Is o equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + a**3 + 12664*a**4 - 12663*a**4 - 11*a**2 - 6 to h*a**3 + z*a**4 + x*a**2 + t + b*a and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19040526.\nAnswer: 2, 3, 1057807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + 4. Suppose 1 = 4*n - j. Let l = -13 - -19. Calculate the highest common factor of n and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 298998*k - 52623644. Determine q(176).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 12:04 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1422, 2802, 4182?\n\"Answer: 1380*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3417, -3005, -2593, -2181, -1769?\n\"Answer: 412*m - 3829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -152?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 19*j**2 - 54*j - 106. Determine v(21).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 7*s + 28. Let h = 44 - 38. What is the tens digit of b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from sszmszmbyubm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2*(sqrt(432) + 1 + sqrt(3)) + (sqrt(21)\/(-2*sqrt(7) + sqrt(7)) - (0 + sqrt(75)))))**2 + 1.\nAnswer: 2048*sqrt(3) + 49217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*f = 89*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 227786553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24  (b) 69  (c) -0.3  (d) -2\/9  (e) 2\/15  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 5, 0.3, 0.303, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88.23 + 88.13. Let b be 4*((-18)\/(-8) - 1). Let c = 0.2 - 17.2. Sort b, c, g.\nAnswer: c, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46 + -45.966. Let i = -0.334 + o. Which is the closest to 0?  (a) 2\/17  (b) 0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.8912 times 3739\nAnswer: -7071.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 52*p + 28049 - 27581 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 0 + 10. What is the least common multiple of 9 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -3. Suppose p*m + 5 = -15. Is 12\/m*825\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.9 + -3.4. Let f = o - 0. Which is the closest to -1\/5?  (a) 3  (b) f  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1815295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 7*z**2 + 2*z - 9. Let v be i(7). Suppose 0 = -v*c - 166 + 41. Let q = 30 + c. Find the common denominator of q and 36\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -329, -656, -983, -1310?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20 in 59, 8, -780?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of -b**4\/4 - b**3\/3 - 9*b**2. Suppose 0*a - 2 = a. Is v(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4 + 1. Let j be -24 + n\/6*8. What is the tens digit of (-12)\/j - 914\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4232 + -13721399?\nAnswer: -13717167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2641, -2714, -2829, -2986, -3185?\nAnswer: -3426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k + 0*k**3 - 9\/4*k**4 - 7 + 14*k**2. Let z(l) be the first derivative of p(l). Find the first derivative of z(t) wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-10)\/(x**(2\/7)*x*x))\/((x\/((x**(-2\/5)\/x)\/x*x))\/(x\/x**(-10))))**(-17) assuming x is positive.\nAnswer: x**(2193\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -459 divided by -2139\nAnswer: 153\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58720 and 2245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -597 - 622 + 15*z**2 + 1831 - 617. Let n(a) = 2*a**2 + 2 + 5*a**2 - 4. Give 5*n(t) - 2*s(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352 = -127*w + 149*w. Solve 5*i + w + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in -3, 275, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 1)*(4 - 3 - 2)*(-3*g + 3*g - 3*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 51\/4*(-44)\/(-33). What is the derivative of -6*h + v*h + 241 - 116 + 26*h wrt h?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.941?  (a) 610  (b) 0.5  (c) -2  (d) -17  (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 24 + -1 + 1 - 1. Let u = -8 + x. Suppose -5*k = -u, -2*k = w - 3*k - 12. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.534886l?\nAnswer: 4534.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 7 - 9 = -4*z, -5*j - 2*z - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*l = 11*l - 124 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -318 - -317.99999821. What is t rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 371*g + 2 + 33*g + 408*g - 162*g to the form n*g + d and give n.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 84*b**2 + 48*b + 15. Let s(q) = 12*q**2 + 7*q + 2. Let g be (-1 + -4)\/(2\/6). Let k(x) = g*s(x) + 2*i(x). Find the second derivative of k(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 67851980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 8*q**2 + 2*q - 16. Let n(f) = -f**3 - 15*f**2 + 5*f - 32. Let z(w) = 2*n(w) - 5*r(w). Is z(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3232702 and 81.\nAnswer: -3232621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 7*b - 4. Let g be k(8). Suppose 0 = j, -j = -i - g + 7. Differentiate 2*s**2 + 2*s**2 - i*s**2 - 2 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -86371, -346550, -780219, -1387408, -2168147, -3122466?\n\"Answer: -5*f**3 - 86715*f**2 + f + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/6)\/c**(-1))\/(c**(1\/3))**(-16) assuming c is positive.\nAnswer: c**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4 - 18\/(-4))*66?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccixgjj. What is prob of picking 1 i, 1 x, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2.43  (b) -2\/15  (c) -0.877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1\/1113?\nAnswer: -1\/1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1205 + -0.0547. Let q = a + -0.0558. Let s = q - -0.031. Which is bigger: s or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + ((-80)\/(-120))\/((-2)\/(-5)). Determine s, given that -8\/3*s**2 - r*s - 2\/3 = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1426.5504 months?\nAnswer: 118.8792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of -5*((-168)\/(-5))\/(-1) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000201303 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 744074 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -118*m + 121*m - 13346, 5*y = m - 4430. What are the prime factors of m?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 4*m + p - 4, 0 = 4*p + 16. Let s be 1*m - (13 + -10). Solve -s*i - 13 = 4*g, 20 = -4*g + 6*i - 2*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 76545c - -17?\nAnswer: 765476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/3)\/((-10)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*1*(-7)\/28*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24113481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -213*p - 32*p + 72*p - 204*p as v + m*p and give m.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 824*s**2 - 14 + 43 - 16 - 13.\nAnswer: 824*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.4 + 49.6. Let y = 55 - v. Let o = -1.3 + 1.34. Which is the fourth biggest value?  (a) 0.1  (b) y  (c) -0.5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11543 + 11848. Which is the closest to 0.3?  (a) s  (b) -0.5  (c) -3  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -2. Suppose 8*x - d*x - 9 = 0. Suppose 24 = x*l + l. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + -4. Let i = 21 + a. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 10:48 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*l = -53*l - 12. Solve -15 = -5*u - 2*v, 2*v = u - l + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68825578 is divided by 313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*a - 8*a + 20 = 0, 10 = 2*p + 4*a. Suppose 3*u - 5 = -p*c, 3*u - 1 + 16 = 0. Solve -2*t + x + c = -0, 10 = 4*t - 3*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -718*v**4 + 29*v**3 + 186772*v - 1?\nAnswer: -8616*v**2 + 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4154488.\nAnswer: 2, 13, 43, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**5 + 2568*b**4 - b**3*y**3 + 2*b**2*y**2 - 24*b**2 + 18*b*y**3 wrt b.\nAnswer: -60*b**2 + 61632*b - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68.98 + -71.869. Let s = -2.9 - j. Round s to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1964364 (base 10) to base 13.\nAnswer: -53a15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3152 + 13?\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 14*k**3 - 2*k**2 + 2*k - 1. Let x be 6 + -14 - -12 - 3. What is w(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiimmkkikkiimiii. What is prob of picking 1 k and 2 m?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9897732 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 780 = -5*j + 15*j. Calculate the least common multiple of 8 and j.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ewfrl. What is prob of sequence rlef?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(3) + 0 + 1 + (-1 + sqrt(300))**2)*-6.\nAnswer: -228*sqrt(3) + 3624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 0, 3672, 0.4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1920461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 293*a - 807*a - 219*a.\nAnswer: -733*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + r - 3*r**2 + (r + 10 - 10)*(3 - r - 3) in the form v*r**2 + x + y*r and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -189 - -192. Let c(x) be the second derivative of 0 - 5\/6*x**n + 0*x**2 + x - 1\/4*x**4. Find the second derivative of c(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 6:55 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g - 6*g - 580 - 2*g + 0*g + 3*g.\nAnswer: 2*g - 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2256 and 340241460.\nAnswer: 1360965840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6*(-1)\/2 - -8. Suppose 4*w + y*j - 79 = 0, -4*j - 5 = -1. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 107815.\nAnswer: 4\/107815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8608452 + 5?\nAnswer: 8608457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/5 - 6822*v**2 + 477932*v\/5.\nAnswer: -2*v*(v - 14)*(v + 17069)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*s - 56*s + 104. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (162\/(-18))\/54*23\/(34293\/(-63)).\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1137252 is divided by 341?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*n + 103 = -d, -2*n + 2 = 0. Calculate the lowest common multiple of d and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**7)\/(f\/f**(-6\/7))*f*f**4*f**(-4))**(-50) assuming f is positive.\nAnswer: f**(-2850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1024178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 5*z**3 - z**2 - 4*z + 5. List the prime factors of w(3).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 165 = -0*v + b, -3*b = 2*v - 99. Suppose 0 = 3*u + 2*h - 31 - v, 3*u - 83 = -h. Suppose -125 = -2*l - u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 29590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*p - 129 = -201*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 - 3 + 3 - 2*g + (-g + 5*g - 2*g)*(-3 - g + 3) - g**2 + g**2 - g**2)*(5*g**2 - g**2 - 3*g**2).\nAnswer: -5*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7341 and 750976959?\nAnswer: 7341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 4:35 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7439378\/136389 + 2\/12399. Let h = -1318\/11 - -120. Determine o, given that -2000\/11 + r*o - 60\/11*o**2 + h*o**3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59387 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seventy-one fifths of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 - -23. Let z(s) = -s**2 - 229 + 116 + 115 + 18*s. Calculate the remainder when k is divided by z(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00241049667 rounded to 5 decimal places?\nAnswer: 0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -57 + (40 - 72) + 199\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5812 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10615520 is divided by 30859?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.034 - 0.434. Let h = 0.1 - 0.3. What is the second smallest value in -0.8, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 times -492264?\nAnswer: -63994.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -1.48 and -56326.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -4. Let p(r) = 3*r - 1. Let n be p(o). Let z = -4.45 - -2.45. What is the smallest value in n, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.4, 15\/46, 2 in increasing order.\nAnswer: -0.1, 15\/46, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s. Let v(f) = -2*f**2 + 18*f. Calculate w(v(n)).\nAnswer: -10*n**2 + 90*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 52 + 214 - 2*b.\nAnswer: -2*b + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 174 and (-21)\/(-2)*117\/364*16.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 2*n = 7, -l - 2*n - 4 = -n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26757361.\nAnswer: 139, 192499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**4\/8 - i**3\/3 - i**2\/4 + 10. Factor t(o).\nAnswer: -o*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72332908?\nAnswer: 2, 379, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, 4, 0.06, -2\/15?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2 = 128. Suppose -5*q + 4 = -h. Let l = q - -6. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 - 109*w**2 + 260*w - 5. Let c be g(52). Let t(p) = 3*p + 4. Let v(a) = -3*a - 4. What is c*v(f) - 6*t(f)?\nAnswer: -3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2418 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 5*m**2 + 2*m - 2. Give x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 18 = -2*z, 4*z - 13 = -4*s + 3*z. What is the second derivative of -34*a + 0*a - 85*a**s - 10*a - 35*a wrt a?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 34*s**3 + 17*s**2 + 17*s. Let o(t) = -11*t**3 - 374 + 374 - 12*t**2 - 6*t + 6*t**2. What is 17*o(c) + 6*z(c)?\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -105 (base 6) to base 4.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 433891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.03 - -0.83. What is the closest to y in 2, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + y**4)*(0 + 2*y + 0) - 20888 - 1200*y**5 + 20888 + 3*y**4 - 3*y**4.\nAnswer: -1198*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**2\/s*s**7*(s**(2\/3)*s)**(-7))\/((s**(-2\/5))**(-3\/16)*s*s**(-3\/8)*s*s\/(s*s\/s**3)) assuming s is positive.\nAnswer: s**(-191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -1)**2 + 4)*1 + 4.\nAnswer: -2*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23 - -1220?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1965 (base 10) in base 3?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 81\/7560*88?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 304050125 is divided by 304050120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18563 = 64*i - 119601 - 174290. Calculate the smallest common multiple of 4780 and i.\nAnswer: 43020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -0*r - 27. What is the units digit of (-2)\/(-2) + 2 - r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 32\/20 + 4\/10. Sort 1, 4, h in ascending order.\nAnswer: 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + b**2 + 2*b. Let i(m) = m**2 + 6*m - 21. Let p be i(10). Let f = p + -137. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 24*o**3 + 11*o + 11. Let p(j) = 5*j - 3*j - 3*j**2 - j**2 + 5*j**3 + 2 + 4*j**2. Give 2*c(k) - 11*p(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 3*u + 11 - 2, 3 = -r + u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96793484.\nAnswer: 2, 107, 139, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1204 - -1207. Suppose 5*n + 4 = 14. Solve -n*o - o = -s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 3*c, -c = 3*v - 2*c - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i + 3*i)*(-3*i + 4*i + i)*(1 - 2 + 0)*(1 + 1 - 11)*(0 + 1 - 3).\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 231636 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 243 = -0*l + l, -2*w + 223 = -l. Let b = l + 232. Let s = -2 + 2.5. Put 2, b, s, -2 in descending order.\nAnswer: 2, s, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = -26*n + 27*n. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (728*d - 1305*d + 704*d)*((-2*d - 4*d + 4*d)*(0 + 4 - 6) - 2*d + d + 3*d)*(2 - 4 - 14).\nAnswer: -12192*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 8 - -1 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2 = 7. Let s = -1 + 1.05. Let g = s - 0.05. Which is the biggest value?  (a) t  (b) g  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -11*u**2 + 6*u - 12. Let f(r) = r**2 - 3*r + 4. Let i(v) = -2*f(v) - l(v). Let y(k) = 10*k. Give y(i(h)).\nAnswer: 90*h**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(1\/3)\/p*p)**43\/(p**(1\/2))**27*(p*p**(-1)*p)**(-2\/71)\/(p\/(p*p*p**(-2\/3)))**46 assuming p is positive.\nAnswer: p**(25193\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -166, -1238, -4168, -9886, -19322?\n\"Answer: -155*v**3 + v**2 + 10*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -442073*o**2 + 146979 wrt o?\nAnswer: -884146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*u + 1335 = -75*u - 325 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f = -56 + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/60)\/((-8)\/30*(-1233)\/548)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -772 + 784. Solve 4*g = -r, -1 = 5*i - 2*g - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1350, 2617, 3886, 5157, 6430, 7705, 8982?\nAnswer: 10261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.076563 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 15*w - 81. Let v(b) = 5*b - 27. Let r(k) = 3*c(k) - 8*v(k). Let u be (8\/(-4) - -13)\/1. What are the prime factors of r(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 487957672 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9396 + 4*j**2 - 9396 - 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3468, 3466, 3438, 3366, 3232, 3018, 2706, 2278?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 PM and 8:49 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -142, -507, -1086, -1879, -2886?\n\"Answer: -107*p**2 - 44*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 35 = -49. Let o(k) = 4*k**3 - 3*k**2 - 6*k - 7. Let t(s) = s**3 - s**2 - s - 1. What is n*t(j) - o(j)?\nAnswer: 2*j**3 - 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 567.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gkj when three letters picked without replacement from ggjjkkjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 5*r**3 + 11*r**2 - 12*r + 6. List the prime factors of f(5).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*k + 80, m + 4*k = 4*m - 118. Suppose -2*l + 26 = -2*b, -l + 23 + 6 = 3*b. What is the highest common factor of m and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -0.011\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 66 = -0*c - 3*c, -c - 5*o = -22. What is the lowest common multiple of c and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -580023*x - 69. Let w be r(-3). Round w to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 4:01 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1453*x + 1448*x + 3*s = 13, 0 = -2*x - 5*s - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 42*-4*3\/(-192). Is p greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2294*d - 5756 = 28969 + 27213 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 86\/16 - 1*2 and 101\/16*-2 - (-2 + 14\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2. Let t(v) = v**3 - 5*v**2 + 2*v + 1. Let b be t(1). Let k(d) = -1 + 2*d - d + 2. Calculate b*k(s) + f(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 348*q - 1. Let x be ((-2)\/(-5))\/(2\/40). Suppose x = 4*z + 4. Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 495910 and 279770.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 502312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/33 - (-57 - (-6512)\/121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -s**9\/3024 + 5*s**8\/672 - 25*s**7\/504 - 19*s**4\/6 + 17*s - 1. Let m(x) be the third derivative of o(x). Factor m(b).\nAnswer: -5*b**2*(b - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 7*h**2 - 22*h**3 - 28*h**2 + 15*h**2 - 3*h - 3 + 9*h**2. Let g(z) = -z**3 + z**2 - z - 1. Determine -3*g(a) + x(a).\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6983206 divided by -5.\nAnswer: -6983206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.30852 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 - 75. Suppose -p = -5*v - 5. Solve -v + 16 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3395\/(-1883)*2\/110*6. Let r = 4\/269 + c. Put r, -1, 3, 7 in decreasing order.\nAnswer: 7, 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/14 and 37\/26172930.\nAnswer: 26172930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 4, 10, -2, -26, 62 in decreasing order.\nAnswer: 62, 10, 4, 2, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 7:56 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*n**2*o + 6*n*o - 156*o with respect to n.\nAnswer: -22*n*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4105141924.\nAnswer: 2, 13, 53, 1489529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1307*i**2 + 3*i + 1308*i**2 - 10*i + 7*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m + 2. Suppose -2*g + 19 = -3*i, 2*g = 3*i - 5*i + 14. Let r(d) = -3*d - 3. Determine g*c(w) + 5*r(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k*k**(7\/3)*k*k)\/k*k)\/k*k)\/(k*k\/(k*k**(-2\/5)*k*k))*k**15*k\/k**(-8) assuming k is positive.\nAnswer: k**(464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/51311340 and -7\/23090103.\nAnswer: 461802060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c + 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 5:46 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -389*k + 483 = 340*k - 798*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102 and 25326022?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 882\/70 - 2*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q**3 + 3 + 806*q**2 + 2*q - 6 + 7*q**3 + 790*q**2 - 1582*q**2 in the form a*q + t + i*q**3 + d*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.655039 and 0.4.\nAnswer: -0.255039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -100a76?\nAnswer: 100a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -11*d + 2. Let i(g) = -33*g + 7. Give -6*i(t) + 17*j(t).\nAnswer: 11*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 36328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39597 is divided by 128?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 195114 * -861.\nAnswer: -167993154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -20876373866884 minus 0.3?\nAnswer: -20876373866884.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.9 + -0.1. Let v = -1 - -1.5. Which is the nearest to 1?  (a) v  (b) t  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 - (47 + -44 + (-12 - (1 + -8))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4965775 hours to milliseconds.\nAnswer: 1787679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314*k - 307*k - 21 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 21*q - 13. Is d(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3*f - f - f)*(2 - 5 + 4) + 2*f - 2*f + 2*f - 139 - 91*f + 139)*(0*f + 2*f**3 + 0*f) to t*f**2 + p*f + s + o*f**4 + d*f**3 and give o.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 0*g + 1\/2*g**2 - 183. Let r(m) = -2*m**3 - 5*m. Let f = -13 + 23. Give f*p(z) + 2*r(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/26424 + 541369\/8534952. Find the common denominator of z and -19\/14.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.3 + 2.8. Let x = v - 8.749. Let a = -0.049 - x. What is the second smallest value in a, -0.5, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6118746?\nAnswer: 2, 3, 479, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 8*i - 13. Let y be g(2). Suppose -4*a = 3*n - 17, -3*a + 2*n - n = -y. Solve 0 = -p - 3, -l - 12 = -a*l + 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, -34, -1\/4, 102 in increasing order.\nAnswer: -34, -1\/4, -2\/13, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 93*b - 28474. Determine g(-129).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l + 6. Suppose 4 = -4*c + 2*w - 0, 0 = -2*c + 2*w - 4. Let s = -5 + c. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -4*b + 4, 9*t - 4*t = -5. Let r be 10\/60 + (-142)\/(-12). Suppose 4*g = -b*g + r. Sort -3, -0.3, g in increasing order.\nAnswer: -3, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44590, 83710, 122854, 162034, 201262, 240550, 279910, 319354?\nAnswer: 358894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 597 and 69299527.\nAnswer: 69300124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 + f**4 - 2*f**2 + 0*f**4 - 2*f**4 to t*f**2 + c*f + u*f**4 + k*f**3 + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 405237449\/138 - 2936464. Let q = -235\/6 + r. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t - 800 = -3*k - 16*t, -5*k - t + 1336 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 4*u - 123. What is the fourth biggest value in 1\/8, -1, u, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 + 1361)*-4*(-6)\/48. Let h = u - 296. Calculate the remainder when h is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*22\/30*((-140)\/35)\/(88\/92)?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 42857 and 42858 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(4\/7)\/(s*s**4))\/((s*s*s\/(s\/s**(-1)))\/s)**2 assuming s is positive.\nAnswer: s**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -13*r + 11*r. Which is bigger: r or 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.2, 9, 1\/44, -0.3 in decreasing order.\nAnswer: 9, 0.2, 1\/44, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f - 2. Let a be l(2). Let g(y) = y**2 + 5*y - 1. Let o be g(-6). Suppose o*u - 10*u + 20 = a. Solve -5 = -u*n - c, 0*c + 4 = 3*n + c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 17*r + 14*r - 34*r + 2*r + 4 - 4 + (0 - 4 + 3)*(4*r - 3*r + 0*r))*(-8*r + 32*r + 28*r).\nAnswer: -104*r**2 - 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371 is divided by 90?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -503, 2, 10, -5, -3.\nAnswer: -503, -5, -3, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.5*1.4.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 16. Suppose 4*j - 2*p = -6, 0 = 2*j + 4*p - u + 37. Find the common denominator of (5\/((-35)\/218))\/j and -65\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -200 - -1798\/9. Let f be -3 - 0*(-5)\/(-15). Let y be (-1 - -3) + 1 + f. Which is the closest to y?  (a) 0  (b) d  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, -1, 3, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (-12)\/(-15) + (-2016)\/(-80). Let u(t) = -13 - 14 + 17*t + j. Let v(z) = z**2. Give u(v(a)).\nAnswer: 17*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1066*h - 5431 = -37411 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26 + 64 - -25) + -40?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*d + 137 - 29. Let o(c) = 2*c - 41. Let y(z) = 3*z - 42. Let r(j) = 2*o(j) - 3*y(j). Let q be r(d). Is 5\/26 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/858 and 95\/308022.\nAnswer: 308022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/6 + 22\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -98*c - 1214. Let n be g(-10). Which is greater: -231 or n?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (198\/(-55))\/(6*(-2)\/(-30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -207.\nAnswer: -5\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/15*f**4 - 2\/15*f**2 + 2\/15*f**3 - 2\/15*f.\nAnswer: 2*f*(f - 1)*(f + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*o + 1836 = -259*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = h + 2*y, 1 = -3*h - 2*y + 11. Suppose h*q - 12 = 3*q. Let w = 6 + q. Solve 0 = -n - 1 - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(70) + sqrt(70) + (sqrt(70) - (sqrt(70) + -1*sqrt(70))))\/sqrt(10).\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) + 1 + -3 + -1*(sqrt(19) - -1*sqrt(684)))**2 + 5.\nAnswer: -4*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -265 + 521. Let x = -72 + 104. What is the greatest common divisor of j and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 2*h - 4. Let r(y) = -y**2 + 4*y - 1. Let i be r(5). What is the lowest common multiple of 4 and b(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**3 - 5801*k**2 + 11606*k = 0 for k.\nAnswer: -5803, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 divided by -109669?\nAnswer: 43\/109669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1065184321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 988.0722 years to millennia.\nAnswer: 0.9880722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -866, -854, -840, -824, -806, -786, -764?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + s - 5. Let u(n) = -2684*n**4 + 5*n**2 + 5*n - 3946. Let i(x) = 5*o(x) - u(x). Differentiate i(a) wrt a.\nAnswer: 10736*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**3 - 150*d**2 + 144*d + 175. Calculate s(74).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 3:11 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 10*w - 50 = -15*w, 2*a + 8 = -3*w for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-30) + (-608)\/(-9840). Is -1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from qooqqqooqoqoqqoqqqq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**4\/12 + w**3\/3 - 2*w**2 + 2*w. What is the remainder when 1\/(((-36030)\/2775 - -13)\/((-12)\/(-10))) is divided by n(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/6, 0.5, -2\/11, -0.1, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2.9 * -23\nAnswer: 66.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 24  (b) -5.06  (c) -4\/9  (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 8712*o + 4486636. Calculate b(-515).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1307 or -1314?\nAnswer: -1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + -7. What is the least common multiple of 45 and q?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -212 + 220 - (0 - -1 - -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m = -14*m - 3. Suppose -m*x + 4*x = 9. Suppose 2*a - 5 = -t, 2*t + 1 = -2*a + x. Put t, 7, 0 in ascending order.\nAnswer: 0, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61\/114 - 2\/57. Put 5\/7, -2, w in decreasing order.\nAnswer: 5\/7, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 7 = -2*p, 0 = -2*p - 4*g - 10 - 10. Suppose 0 = t + 5*m, 5*t - 3*m + 0*m = 28. Suppose -3*d + 10 = -t. Put p, 1, d in increasing order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-134)\/28*2 - -9.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l**2 + 41*l - 14. Let u be c(-14). Let k(h) be the second derivative of 3*h**2 - 5\/6*h**3 + h + u + 1\/12*h**4. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -2  (b) 0  (c) -28\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 1. Let r = 1.52 - 1.62. Which is the nearest to m?  (a) r  (b) 0.5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 - 3*j**2 + 2*j**3)*(j**2 + 15*j**2 - 2*j**2) + 0*j**5 - 2*j**4 - j**5 + 5*j**5 - j**5 + j**5 + 2*j**5.\nAnswer: 34*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 142.7 + -217. What is the second biggest value in -4\/7, 5, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5*d + 157 = 0, -y - 4*d - 152 = -5*y. Let r(a) = 16 + 34*a + 8 - y*a - 20. Suppose -11 + 4 = u. What is r(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1424)\/40 + 2\/(-5). Let b be 8\/t - (-372)\/(-27). Is (-6570)\/b + (-2)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a century in decades?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wvwmwsqwqtqtwqwqm. Give prob of sequence tvq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0\/2 - (2 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8439.\nAnswer: 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-2)\/l)\/(l\/((l\/(l*l**(12\/5)))\/l))*(l*(l\/(l\/(l**(-12)*l)*l))\/l)\/l*l**17\/l*l*l assuming l is positive.\nAnswer: l**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3694\/16623)\/((-24)\/54).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162957108 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q - 69 = 2*h, -2*q + 24 = -h. Let n be ((-8)\/(-10))\/((h\/(-6))\/25). Solve -g + 2 = 2*a - n, -9 = -g - 3*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -2\/11, 62, 1\/9, 3\/8, 1\/3, -2\/25141?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 660 = 12*a + 552. Solve -13*q = -a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 - -502\/9. Let d = 20 + -26. Let n(m) = m**2 - 23*m + 134. Let b be n(11). Put -1\/8, d, r, b in descending order.\nAnswer: b, -1\/8, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*p + 26 - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5 + 4 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 138764519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.3, -3, -2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -1\/466  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 79181393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 23 = -1. Suppose -5*d - 4*g = 16, -5 = 3*d - g + 8. What is the second smallest value in d, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/5)\/(17\/(-85))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 - -56. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130 + (-20 + 0 - (3 - 34) - -4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2924548 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*v + 961 = 5*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -23\/90*f**5 - 101*f**2 + 0*f + 49\/36*f**4 - 1\/180*f**6 - 25\/9*f**3 + 0. Factor p(n).\nAnswer: -2*(n - 1)**2*(n + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(4\/9))**2\/((p**(-13)*p)\/p**(1\/2)))**(-41) assuming p is positive.\nAnswer: p**(-9881\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*j = 8*j - 1441. Which is bigger: -130 or j?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.6 - 3.86. Let d = -0.26 - r. Which is the smallest value?  (a) 1\/3  (b) 4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-s**4 + s**3 - s**3 + (s**3 + 0*s**2 + 0*s**2)*(0*s - s + 0*s))*(20 + 6 + 22)*(-52 + 131 + 49) as o*s**4 + p*s**2 + z*s + v + y*s**3 and give o.\nAnswer: -12288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**2*s + 1429*q**2*v**3 + 8*q**2*v - 5*q**2 + 2*q*s*v**3 - 316*q*s*v + 1198*q*s wrt q?\nAnswer: 4*s + 2858*v**3 + 16*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -498038.\nAnswer: -1\/249019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 - 2*a**4 - a**2 + (346*a**3 - 3367 + 3367)*(-a + 2*a + a).\nAnswer: 690*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -376*v + 372*v + 20, -v = 2*j - 4 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 46. Let z = 40 + l. Find the second derivative of 2*t**5 + 14*t - z*t**5 + 6*t**5 - 2*t**5 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2564 bigger than 2564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*g + 1\/2*g**5 + 2*g**2 + 2*g**4 + 0 + 3*g**3.\nAnswer: g*(g + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 24777.\nAnswer: 74331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 14*z**2 - 113*z - 207. Calculate p(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/2)\/(331\/331)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221295 is divided by 146.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4448*l*v**2 + 623873*l - 22*v**4 wrt v.\nAnswer: -8896*l*v - 88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -61241*n**3*x - 21*n**3 + 14223*n*x - 14*n wrt n.\nAnswer: -367446*n*x - 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 - -21. Which is the second smallest value?  (a) -5  (b) -2\/5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v + v + 2*v + (-3*v + 4*v - 4*v)*(-4 + 1 + 4))*(1 - 1 - v) to r + p*v + w*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 1 = -7*i. Solve f - 6 = -i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 - -35. Suppose v = -76*m + 79*m - 621. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 4 = 4*f - 6*u, 8*f - 2*u + 7 + 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*m - 6*m**2 + 0*m**2 + 5*m**2 - 24*m - 3*m**3 + 50*m to the form x*m**3 + b*m**2 + t*m + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 2:03 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/6 and 101\/1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 1:12 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -28*o - 2. Let l(f) = 8*f**2. Determine l(c(z)).\nAnswer: 6272*z**2 + 896*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1165 - 111 + 1387 - 111 + 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 261 and -2.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35991?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 228*k + 85*k - 2*k - 4*k to l + a*k and give a.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112\/12*(-99)\/(-12) and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*g = -14, 2*j - j + 2*g = 8. Suppose -j*m + 16 = -4. Solve -4*c + m = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58626519 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (48*b**2 - 32*b**2 - 33*b**2)*(5*b + 5*b + 0*b) to a*b**3 + t*b + s + c*b**2 and give a.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 - 2898*y - 2099601.\nAnswer: -(y + 1449)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/(((-668)\/835)\/(72\/15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**5 - 5*z**4 + 5*z. Let c(m) = 3*m**5 + 4*m**4 + m**2 - 4*m. Let n(j) = -5*c(j) - 4*r(j). Find the third derivative of n(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 0*z + 0*z)*(5*z - 3*z + 0*z) - z**3 + 2*z**3 + z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/((-7)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m. Let c(u) = -7*u + 1. Let j(o) = -c(o) - 3*f(o). Differentiate j(w) with respect to w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-97 + 10)*(3 + (-1 - 3)). Calculate the highest common factor of 27 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4*(-162)\/243?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 523 is divided by 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212223?\nAnswer: 3, 11, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -100011001100111001001?\nAnswer: 100011001100111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -1. Let a = n + 6. What is the closest to a in -2, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 7*o**2 - 2*o. Is k(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 37 + 5 = 16. Let p(x) be the second derivative of 0 + 0*x**2 + 0*x**l + 9*x + 3\/5*x**5 - 19\/6*x**3. Find the second derivative of p(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-225)\/18*1\/(-5)*8. Suppose 5*t - n = -4*z + 30, 3*z + 10 = t. Suppose -20 = -5*c - 0*c. Solve 0 = -c*u + 2*u - t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1255 - -0.22?\nAnswer: -1254.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 76254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v = 4*r - 25, 25 = 3*r - 4*v. Let s = -11 + r. Is ((-2)\/s)\/((-4)\/(-24)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + 2*g + 0*g)*(6 - 1 - g**2 + 0)*(513 - 513 + 17*g)*(-2 - 3 + 3) in the form w*g**3 + d*g + v + x*g**2 + f*g**4 and give x.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1933*m**3 + 867 + 927 - 2663 - 1925*m**3 + 869.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*o + 2*u = -41*o - 4, 3*o + 5*u = 78. Solve o*j = -46*j + 171 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -3*o - 3 + 25, -2*o - 32 = -4*k. Let r = -28 + 28. Solve 2*m = k - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*39\/91*(-5)\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 59538\/16240 + 18\/(-48). Let c = g - -46\/609. What is the common denominator of -23\/6 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 1. Suppose 0 = 3*n - 12, 2*n - 16 = -3*o + 10. Let y be -6 - o\/2 - -4. Put y, -3, f in increasing order.\nAnswer: y, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-407 - 371160\/(-912))\/(2\/(-16))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + t**2. Let o(z) = 4*z**3 - 7*z**2 + 2*z. Let i(u) = -u**3 + 8*u**2 + 9*u + 3. Let w be i(9). Suppose -w*p + 24 = p. Determine p*q(f) + o(f).\nAnswer: -2*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/3 + 18*z - 243.\nAnswer: -(z - 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-3*(1*sqrt(190))\/sqrt(10)*1)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(2 + 1 - 2). Let a be (11 - -1)*34\/c. Suppose -3*y - 3*b + 66 = -0*b, -4*b + a = 3*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.14, -12, 823, -17, -3\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -3*h - 4. Let w(p) = -p**2 - 4*p - 5. Let i = -11 + -3. Let v be i\/21*1*-3. Calculate v*w(q) - 3*n(q).\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.42 and -56262.\nAnswer: -23630.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 401654.5 nanograms in milligrams?\nAnswer: 0.4016545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.0980702 - -0.1.\nAnswer: 4.1980702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2357*j - 619. Is i(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134756 is divided by 134754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 6. Suppose -4*s + 5*l = -i, -3*l = -3*s - 6*l + 9. Suppose p - 126 = -s*p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1033 + 2720*b + 2070 - 1037.\nAnswer: 2720*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5611 and 41355785?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3338435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/(-15) - -2) + -108 + 109?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -304*u - 199*u - 382*u + 304*u.\nAnswer: -581*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*n + 430*n + 578*n = 48786 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -753156897079+33\nAnswer: -753156897046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -160*b - 1919. Let d be u(-12). Solve 51*g - d - 50 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1745 = -n + 3*u, -n + 4*u + 1750 = -0*u. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 670 + -737 + 13 + 3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14116, 28237, 42344, 56431, 70492, 84521, 98512?\n\"Answer: -d**3 - d**2 + 14131*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*a = -52, a = 5*b + 3*a - 57. Suppose 0 = -2*j - 8, -4*q + 5*j = -0*q - 64. What is the greatest common divisor of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t**3 - 2*t**2 + 31*t + 9. What is v(-6)?\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.0703 + -0.0703. Which is the nearest to -2\/3?  (a) -2\/23  (b) l  (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 352800*g**3\/11 - 28911120*g**2\/11 + 592299362*g\/11.\nAnswer: 2*g*(420*g - 17209)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 42272 - -27087889\nAnswer: 27130161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/43 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225559 - 245936 = -43*s. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of 13*r**6\/120 - 13*r**5\/60 + r**2. What is the third derivative of j(b) wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-40)*10\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 2*p - 32. Let l be m(5). Put -1, 0, l, 2 in ascending order.\nAnswer: -1, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -10*(-1 - 21\/(-15)). Let n(t) = t + 8. Let z be n(-6). Let s = z + -2. Sort l, -2, s in decreasing order.\nAnswer: s, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-1\/5)\/v*v\/((v**(-3)*v)\/v)*(v\/((v*v**(2\/3))\/v))**(-30)*((v*v**(6\/5))\/v**3)**(-31) assuming v is positive.\nAnswer: v**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152104 is divided by 3206.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -26*k. Let z(s) = -24*s + 21*s + 10*s. Let d(w) = -4*w. Let y(a) = -5*d(a) - 3*z(a). Calculate l(y(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 200876.857 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15664 + 15664 + 443*m**2)*(3 - 1 - 4)*(0*m - 11*m - 4*m).\nAnswer: 13290*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**2 + 5*v**2 - 4*v**2 - 3*v**2 + 2 + v**2 + 0 + (-5*v**2 - v**2 + 3*v**2)*(5 + 0 - 2) + 4*v**2 - 6*v**2 - 2*v**2.\nAnswer: -17*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -22070, -44215, -66360?\n\"Answer: -22145*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-143)\/44 + (-2)\/(-8). Let c be 8\/6 + s + 1. Let p = 0.46 - 0.06. What is the biggest value in 2\/11, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 4, 879?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -7*v**6\/150 + v**5\/20 + 37*v**4\/60 + 31*v**3\/30 + 3*v**2\/5 - 159*v. Solve s(q) = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17762 - 20322 = 64*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 - (-1 - 3 - -9). Let a be -2*16*(-95)\/20. Let f = a - 14439\/95. Is f at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 477\/248 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4))**(-29))**(23\/4) assuming q is positive.\nAnswer: q**667","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*l + 159*l**3 - 5*l - 10*l - l**2 - 2 - 3*l to the form s + w*l + p*l**2 + g*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -973*c - 83. What is the hundreds digit of q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 434 - 429. Which is the fourth smallest value?  (a) r  (b) -1\/4  (c) 0.4  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 79*u - 128. Let k be -4*(-2)\/4*28\/7. Does 36 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2543106822.\nAnswer: 2, 3, 15137, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4*n = 12 + 8, 2*w = n + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from wwltttltwwttwwt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 9*h**2 - 9*h - 7. Let g be i(10). Suppose -g*v + 10 = 2*l, -v - 2*v + 2 = -2*l. Solve 3*t + b = -13, b - l*b + 12 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 35847.451177.\nAnswer: -35858.451177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 4*a**3\/5 - 83552*a**2\/5 - 585012*a\/5 - 200592 = 0.\nAnswer: -4, -3, 20895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {y: 2, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14993*c**2 + 2 + 16059*c**2 - 2.\nAnswer: 31052*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2375, 2371, 2367, 2363, 2359?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 103042311 (base 6) in base 11?\nAnswer: 1037428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35\/198 - -1\/198. Let z = -0.1 + 0.3. Let o = z - -0.8. What is the third smallest value in o, 2\/5, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-45)\/(-30))\/(11477\/11474 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 8:24 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 4*k + 15, 31*t - 9 = 5*k + 34*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*c = -145, 0 = -4*b - 2*c + 235 - 37. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 6*k**2 + 5*k - 12. Suppose y = 3*y - 14. What is the remainder when o(6) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2. Let j be (-6)\/(-1 - (-1 - 3) - 5). Let n(k) = -34*k**2 + 37*k**2 + 2*k**j - 3*k**3. Determine 3*a(y) + n(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 2. Let m(o) = -20*o + 38. Is m(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**4*s*((s**5*s)\/s)\/s*s)\/(s**(2\/7))**(-26))**(1\/8))**18 assuming s is positive.\nAnswer: s**(549\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**3 - 100*l**2 + 188*l - 92 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 79 (base 12) to base 14\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 16\/(-88) - 270\/(-33). What is the third derivative of 43*p**6 - 41*p**2 - 8*p**3 - 11*p**2 + o*p**3 wrt p?\nAnswer: 5160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 4*p**2 - 3*p - 7. Give t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1297318007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/142989035 and -119\/81708020.\nAnswer: 571956140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -872, -3478, -7828, -13928, -21784, -31402, -42788?\n\"Answer: -j**3 - 866*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 5*w - 3*w + 2*w**2 + 3*w**2. Let v be j(-2). Suppose -u = u - v. What is the remainder when 22 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 659 is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -2  (b) 48  (c) -4  (d) -2415  (e) -0.2  (f) 0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by -8318.\nAnswer: 7\/4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*u**3 - 373*u**3 + 2187*u**3.\nAnswer: 1754*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 7:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/2))**(-4\/7)\/(v*v**(-3)*v*v**(-6)))\/((v**(-1\/5)*v*(v*v**(1\/3)\/v)\/v)\/((v\/(v*v*v*v**(2\/25)\/v))\/(v**1\/v))) assuming v is positive.\nAnswer: v**(2888\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 312 + -320. What is the smallest value in -0.4, t, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7097 - 40*a - 7097)*(-24*a - 3*a - 73*a + 13*a - 93*a + 7*a) to z*a**2 + i + s*a and give z.\nAnswer: 6920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -490 = -3*y + 5*l, -2*l + 49 = 2*y - 251. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37143527?\nAnswer: 67, 89, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -5*h - 2*m - 50, -h - m - 10 = 0. Let c be 7 + (8\/(-32) - h\/8). What is the second derivative of 13*o**4 - 2*o**4 - 8 + 12*o + c wrt o?\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/((-35)\/309)*(-62 - (-3580)\/60)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/28)\/((8\/140*20)\/(-7)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 7*r**2 - 6*r + 9. Calculate the remainder when g(-8) is divided by 31 - (0 + 0\/(-1)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iriihrpkrrh. What is prob of picking 1 h and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 8 = -2*c - 2*m, c = 2*m - 1. Suppose -b = -c*b - 12. Let k be (-3)\/12 - b\/(-8). Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64313 + -34577. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 540 = 4*o. Suppose o = -3*v + 7*v. Suppose 9 + v = 4*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, -48, -3 in decreasing order.\nAnswer: 5, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4249253818 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 691006 is divided by 667?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125398 divided by 338.\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 5*o = 25, -26*v - 5*o = -23*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*v - 0 + 19, 3*v = -3*n + 15. Suppose -3*t - 120 = -3*l + 6*l, -n*t = -3*l - 96. Let k = 112 + l. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165*b + 1871 - 3348 - 2813 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 416884 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1035184 + 81.83.\nAnswer: 1035265.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.12*-414.\nAnswer: 49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -5*c + 747. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 517155740.189 and 0.5.\nAnswer: 517155740.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = d + 2. Let u(o) = -2*o. Let z be u(d). Let g be ((-25)\/(-3) - 0) + 1758\/2637. Solve -z*j = -g*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 11 = -3*u, 4*b - 18 = -0*b + 2*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -15*k - 36. Let f be w(-8). What is the highest common divisor of 98 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 272204 and 748561.\nAnswer: 2994244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 275183441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 297 and 21967.\nAnswer: 593109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 11*w**5\/60 + 5*w**4\/12 + 17*w**3\/6 - 2*w**2. Let o(c) = -4*c**2 - 3*c - 6. Let u(y) = 8*o(y) + 3*q(y). Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177597983 is divided by 8879899.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d5f (base 16) to base 3.\nAnswer: -11200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321*x - 166 = 155 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**16*m**8 assuming m is positive.\nAnswer: m**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 79*y - 77*y + 20, 2*q - 3*y + 2 = 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -7*b**2 + 0*b - 10\/3*b**4 + 0*b**3 - 2\/3*b**5 - 1\/24*b**6 + 0. Factor q(i).\nAnswer: -5*i*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 12*i**2 - 11*i + 23. Let a be z(-13). Put a, 3, 2 in descending order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -600, -1229, -1924, -2733, -3704, -4885, -6324, -8069?\n\"Answer: -8*a**3 + 15*a**2 - 618*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -166, -393, -632, -889, -1170, -1481, -1828?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**3 - 143030*q**2 + 5012005*q - 4868970 = 0. What is q?\nAnswer: -28641, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2238503126\/3093 + 723732. Find the common denominator of -25\/33 and w.\nAnswer: 34023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/17  (b) 16\/9  (c) -0.4  (d) 1\/15  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 15 = -2*u. Let s be 16\/(-20)*(u - 0). Suppose -5*f = -s*f - 6. Solve 0 = 2*o - 4*d - 14, 0 = d + d + f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 264 + 3?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 2\/11  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 664366 is divided by 332180.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 15 = 3*s + 4*w, -6 = 2*s + 3*w. Suppose 2*h + 3*h = 15. Suppose r + h*t + 9 = s, 3*t + 19 = r - t. Solve 0 = 4*f - 4*p, r = 4*f + 3*p + 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 690 or 684?\nAnswer: 690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -464814050432 + 464814049431.000001286. Let b = -1001 - k. What is b rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -0.2  (b) 3  (c) -21  (d) 300\/11  (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72519849?\nAnswer: 3, 8057761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -3\/2, 9, 5 in ascending order.\nAnswer: -3\/2, -1\/7, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.5534984 tonnes?\nAnswer: 553498.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of v**3\/6 - 2*v**2. Let r(u) be the first derivative of -12*u + 6 - 1\/2*u**2 + 1\/3*u**3. Determine -22*o(w) - 2*r(w).\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 8:56 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(2\/3))**36*d**(3\/8)*d**(-3))\/((d**(-2\/7))**1*d**(-3)\/(d*d**5*d)) assuming d is positive.\nAnswer: d**(1773\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-4))**(2\/189)\/(b**(1\/4)\/b*b)**(2\/65) assuming b is positive.\nAnswer: b**(-1229\/24570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 3 + 3*t + 3*t**2 - 1. Let k be j(-2). Let d = k + -2. Solve d*s + s = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 748\/5  (b) -5  (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 2*n = 5*x, -3*n + 11 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.0862584  (b) 3\/7  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 1315*r**4\/4 - 1249*r**3\/3 + 2921. Find the third derivative of t(a) wrt a.\nAnswer: 7890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37030095 to the nearest integer?\nAnswer: 6085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 1:24 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 23 = 5*o, -t + 0*o + 5 = o. Suppose 3 = -2*m - 1. Let q(u) = -3*u. Let i be q(m). Solve 2*h + i = t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34669 and 599680?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -1484855.\nAnswer: 1\/1484855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000202138886 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/56 - 2\/8. Let o = -51638 + 775273\/15. Let z = 47 - o. What is the second biggest value in d, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41 - -5. Let a = d - 6. Calculate the remainder when 119 is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8806 is divided by 4273.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 6) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-1 - (5 - -2) - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -389*r**2 + 0*r + 0*r + 0*r + 390*r**2. Let w be (-4)\/(-6) + 282\/9. Let c be (-4)\/14 - w\/(-14). Let b(m) = 3*m**2 - 2*m - 2. Determine c*p(j) - b(j).\nAnswer: -j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + v**2 - 2*v**2 - 5*v**2 + (-4*v - v + 2*v)*(-4 - v + 4).\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36 + 40. Let d be ((-5376)\/110)\/b - 10\/55. Let m = 12 + d. Is -17 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1008)\/819)\/(21\/((-273)\/10)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 7*b + 2. Let s be -5 + (-1 - (2 - 3)). Let l be c(s). Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(-1)\/(-1) - -1. Let a(p) = 3*p**3 + 7*p**2 + 2*p + 1. Let z be a(-2). Solve -c = g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 37, 71, 103, 133, 161, 187, 211?\n\"Answer: -v**2 + 37*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in -54.7, 2, 6\/113, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 11 = -i + 4, -2*i - 5 = s. Suppose -16 = -s*j - 1. Solve 3*k + 17 = j*v, 0 = -2*k + 5*k + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 5*v + 18, i + 2*v + 10 = 3. Suppose -3 - i = -t. Suppose 5*c + 3*y - 100 - 31 = 0, t*y = -c + 33. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + d - 2076 = 0. Suppose 4*s + 1024 = g + 2*g, -2*g = 2*s - d. Suppose 5*v - 6*v - 150 - 1269 = -34*v. What is the highest common divisor of g and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - k - 24 = -0*k, k = 0. What is the remainder when 9 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuuquuuuu. Give prob of picking 2 u.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*k + 49 - 121 = 0, 0 = -2*j + 2*k + 58. Calculate the remainder when 75 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -424615485 or -424615484?\nAnswer: -424615485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 3*y**2 - 2*y - 1. Let j be (24\/(-15))\/(-2)*5. Suppose 3*f - j*f = -8. Calculate the remainder when f is divided by q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 998 - 1997\/2. Let j be 81\/228 + (-1)\/4. Which is the closest to -2\/7?  (a) -3\/4  (b) 2\/15  (c) j  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9686052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2490604 and 4580?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103031 + 0?\nAnswer: 103031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 77\/42 - 1\/(-6). What is the least common multiple of u - (2 - (28 + -2)) and 22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 43*g - 453 = 0, -5*p - 19*g = -18*g - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3.5  (b) -4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -b1 (base 14) in base 12?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 5902595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**3\/3 + 70*c**2 - 142*c + 214\/3 = 0?\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 7*y + 5. Suppose 5*o = 4*n - 788, 0 = -15*n + 13*n + 3*o + 394. Let f = -202 + n. Give l(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.105 in -2\/11, -3\/8, 5, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/6)\/((-25)\/660*-316 + -12). Solve -5 = n*a - 60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 + 76. Suppose -48*k - l = -49*k. Let q = 23 + -11. Calculate the smallest common multiple of q and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -4, -0.1, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/3)\/(-1) + 7\/21. Suppose d = -5*j - 5*y - 255, -4*j + y + 4*y - 240 = 0. Let i = j - -93. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 - 5*m - 6. Let q(r) = -r**2 + 2. What is k(g) + 4*q(g)?\nAnswer: -g**2 - 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50759.\nAnswer: 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-8))\/(2 + (-5)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3661377 - 19.8\nAnswer: -3661396.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123778, 247772, 371768, 495766?\nAnswer: 619766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-29)\/10 - (2 + -5). Suppose 2 + 3 = y. Suppose 2*a - 8 = -r - 2*a, 20 = -2*r + 4*a. What is the second biggest value in y, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -210, -215, -224, -237, -254?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 85753627579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 - 115\/4. Let s = 12 - 14. Let b = 2.3 + s. What is the smallest value in 0.4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is m in m**3 - 2623*m**2 + 180812*m + 969760 = 0?\nAnswer: -5, 76, 2552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3788507*r**2 + 169491804 wrt r?\nAnswer: -7577014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -17*p**2 + 2*p + 11. Let u be z(-4). Let g = 281 + u. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31898 + -31898.004. Which is the nearest to -4\/7?  (a) j  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -15*m**2 - 5916*m - 2364 = 0?\nAnswer: -394, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**5 + 2 - 2 + (2*x + 0 + 0)*(-2*x**4 - x**4 + x**4) - 3*x**2 + 13*x**5 + 3*x**2.\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2021200122202 - 2021?\nAnswer: 2021200120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 3*s**4\/2 - 32007*s**3 + 339618879*s**2\/2 + 9955077390*s + 9785235942 = 0?\nAnswer: -57, -1, 10698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 58.9 + -79. Let c = 1.1 + s. Let m = c - -21. Put -3, m, 0.1 in increasing order.\nAnswer: -3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 55111025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2. Let q(c) = c + 1. Let a(u) = 4*u + 6. Let f be 12\/5*40\/16. Let t(h) = f*q(h) - a(h). Give j(t(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -421192845 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - sqrt(88)*1*1))*1)\/((sqrt(8) + (sqrt(112)\/sqrt(2) + sqrt(56))\/sqrt(7))\/((sqrt(8) - sqrt(72))\/sqrt(2))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 152132\/7 + -21628. Let p = k + -105. Let c = -0.3 + 0.4. What is the closest to c in 0.5, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in -3\/4, 0.5, -5545, -2\/7, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 3*t**2 - t. Calculate the smallest common multiple of f(2) and 168\/36*96\/28.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*h + 3*h. Let o = -0.17593 - -0.57593. Let w = 4 - 3. Put o, w, h, -2 in ascending order.\nAnswer: -2, o, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -5683 and -5699 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -930 - 127?\nAnswer: -a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1941042 and 196846.3.\nAnswer: -1744195.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 12, 2*o - 2*g - 339 = 493. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -978065 = 88*o - 978241 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - -2 - -5)\/1. Let m(h) = -464*h - 463*h + 929*h - 25*h**3 - 1 - h**2. Determine m(p).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2004*g. Let q(c) = 325*c. Let z(w) = -6*h(w) - 37*q(w). Let s(i) = 681*i. Give s(z(t)).\nAnswer: -681*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -767050 divided by 4\nAnswer: -383525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*z + 7. Let r be (-1 - z - -4) + 47. Suppose 2*f - r = n, -2*f - n + 49 = -0*n. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1007, -1985, -1 in ascending order.\nAnswer: -1985, -1007, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 5 = 4*f. Sort 4, f, 1 in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -40\/19  (b) -7\/69  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 190*b**2 + 122*b**3 - 32*b**3 + 36*b**2 - 94*b**3 to the form q*b**3 + j + t*b + i*b**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2696*l**2 + 2696*l**2 - 1775*l**3.\nAnswer: -1775*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/5*(-1)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -8*s**2 - 55*s + 8. Let m be h(-7). Let x(y) = 2*y**2 - y. Let c be x(m). Solve 3*f = -c - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 8*s**2. Let a(t) = -649*t**2. What is o(a(b))?\nAnswer: 3369608*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (910\/14196*-195)\/((-105)\/6).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -108*y + 90*y + 180 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86406635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of c**3 - 2. Let p be 5\/(-15) + (-20)\/(-6). Let v(i) = -p + 2 + 1 + 2*i. Determine v(b(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 - 1)*(-3 - 3 + 3)*(-7*p**2 - 11*p**2 + 21*p**2) in the form g + q*p + z*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.12 - -33.92. Let j = 22.8 - a. Which is smaller: 1.5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000019028 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13 - 11024?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5630.6628 minutes to days.\nAnswer: 3.9101825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d + 17. Let r(q) be the third derivative of -q**4\/24 + 2*q**3\/3 + 3*q**2. Let b = -75 - -81. Give b*m(v) - 26*r(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u - 2. Let s be a(-2). Suppose p = 4*p - s. Suppose 350 = 3*q - p*q. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuruuuuuru. Give prob of sequence uu.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -0.1, 0.001, -58 in ascending order.\nAnswer: -58, -0.1, 0.001, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*1*7\/(539\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2902069463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*y + 9*y - 10*y**2)*(-1 - 2 + 4).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -5*u + 28409, 3760*t + 2*u - 56890 = 3756*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cddcccdzczcccd. Give prob of sequence czcz.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 256, 0, 1 in ascending order.\nAnswer: 0, 1, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00069976294 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqzzqzqqz. Give prob of picking 2 z and 1 q.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaauuouaooauupa. What is prob of picking 1 p and 3 u?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 11*b**2 + 18*b + 5. Let p be o(9). Put 0, p, 2, -5 in ascending order.\nAnswer: -5, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 13 - 17. Suppose 5*t - 585 = 2*j + 3*j, -12 = l*j. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12356870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-18))\/(((-120)\/9)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 102783 and 2295487.\nAnswer: 6886461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -168  (c) -1\/4  (d) 1  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7471736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 166222054337 and -163.8.\nAnswer: 166222054173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -147724, 5, -3, -2, 3, -5 in decreasing order.\nAnswer: 5, 3, -2, -3, -5, -147724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (30 - 1)) + 211 + -216?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*4\/200 + (-885)\/(-125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3 + (6 + 0 - 4)*(0 + 4 - 6) + 1 + 1 - 3)*(-142 + 34 - 129)*(2*m + m - 2*m).\nAnswer: 948*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2255.425 days?\nAnswer: 194868720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 728095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67002 is divided by 1066?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-283*l + 35*l + 1610*l)*(-3*l**4 - 3*l**4 + 2*l**4).\nAnswer: -5448*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3210 + 9134 = 4*w, 4*w + 3*c - 5945 = 0. Does 53 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w - 2. Let l be d(7). Suppose -l*h + 10 = -i, 0 = i + 3*i. Suppose h*z + s - 282 = 0, 2*z + 3*z - s = 691. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43144 + 43144 + 155*t.\nAnswer: 155*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83044967 by 8.\nAnswer: 83044967\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21850 >= 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (447*m**3 + 475*m**3 - 1340*m**3 + 482*m**3 - 2180*m + 2*m**2)*(-2*m + 2*m - m) as z*m**3 + v*m + b*m**4 + p*m**2 + h and give b.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 18.5891937 hours?\nAnswer: 0.1106499625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 17*h**3 + 3*h. Let l(a) = 6*a**3 + a. Suppose 6*j = j + 205. Suppose -24 = -3*k - 2*m + 1, 3*k = 2*m + j. Determine k*l(d) - 4*f(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-3 + sqrt(891) + sqrt(891) + 0 + sqrt(891) + -1*sqrt(891) + 0 + sqrt(891) + (sqrt(891)*-4 + sqrt(891))*-4*6)**2.\nAnswer: -4050*sqrt(11) + 5011880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 169\/504 and -79\/42.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 5, 6\/49, 12?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*x - 1, -6*r + 7*r = -3*x. Which is the nearest to x?  (a) 0  (b) -2\/23  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**2\/4 + 1033*w\/2 + 2065\/4 = 0.\nAnswer: -2065, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 s, and 1 o when four letters picked without replacement from {v: 1, t: 1, x: 4, o: 2, s: 4, k: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0156 plus 979506?\nAnswer: 979505.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1853 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3248635 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 7*p**2 - 4*p - 6. Let b be f(-7). Suppose 0 = 27*i - b*i - 1130. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 245 + -2?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + m)*(32*m**2 - 6*m**2 - 2 + 32*m**2).\nAnswer: 58*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/21  (b) -0.09  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 380 and 4879580.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 141223*c**4 + c**3 - 20419*c**2 + 9*c + 2 wrt c.\nAnswer: 3389352*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {b: 1, r: 1, f: 3, s: 1, l: 4, v: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that w**2\/2 + 155265*w\/2 = 0.\nAnswer: -155265, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87627, -87679, -87725, -87765, -87799, -87827, -87849?\nAnswer: -87865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77 - 77.838. Let k = u + 3.961. Let n = -3.2 + k. Round n to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -46*k**3 + 335*k**2 + 343*k - 632 = 0. What is k?\nAnswer: -79\/46, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Divide -560 by 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/11  (b) -1\/3  (c) -40  (d) -70\/27  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3248 - 29234\/9. Put -4, -2\/7, x, 1\/2, 23 in descending order.\nAnswer: 23, 1\/2, x, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {x: 2, g: 3, i: 7, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5820084337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 20*w**2 - 84*w - 16. Calculate p(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and 0.2.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*b**2 + 11036*b - 965478 wrt b.\nAnswer: 24*b + 11036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2. Let m(f) = -8*f**3 - 9*f**2 + 8*f. Let l(c) = -m(c) - 3*o(c). Factor l(s).\nAnswer: 4*s*(s + 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(4\/3)*c**(-20)\/c)**(-6))**33 assuming c is positive.\nAnswer: c**3894","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 114 - 112. Suppose 4*d - 15328 = -y*n + 10106, 2*d + 2*n = 12714. What is d rounded to the nearest one hundred?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g - 4. Let a = 24 - 19. Suppose -4*r = 0, -a*r = 3*b - b. Determine l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 243 + -1211\/5. Let y = 804 - 452. Let z be y\/(-429) + 2\/13. Which is the third biggest value?  (a) t  (b) z  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 v when four letters picked without replacement from vvvkvvvkvvkvvvvv?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8 - -38)*(-3)\/(-2). Calculate the least common multiple of 2 and o\/21 + 4\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/18765 and -31\/921570.\nAnswer: 8294130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/180 and -1\/199140?\nAnswer: 597420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2323*c**3 - c + c.\nAnswer: -2323*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -3658*u. Let b(t) = 2*t. Give b(s(r)).\nAnswer: -7316*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 0*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbvbbvbbv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.193 + 2.193. Let g = 42.9 - 93.1. Let x = -50 - g. Which is the nearest to x?  (a) -4  (b) 0.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 8 + 7 - 6 - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1573) - (sqrt(1573) - (2*sqrt(1573) + sqrt(1573)))*-4) - (-2*sqrt(1573) + 0)*1)**2*1.\nAnswer: 440*sqrt(13) + 39341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-35904 - 4930*a + 71810 - 35904)*(-2 + 2 - 2*a).\nAnswer: 9860*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.011 - -337507.\nAnswer: 337500.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/746704594 and 19\/14.\nAnswer: 5226932158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-17460)*-18)\/(5\/25*(-8)\/4).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 r, and 1 u when four letters picked without replacement from rluruuuukuwuul?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n + 67. Let r be j(-17). Let g be -2 - (7*-18 - 1). What is the highest common factor of g and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 - 1666 = -48*f. What is the greatest common divisor of f and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3032031137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d**2 + 0*d**2 - d**2 + (113*d + 97*d + 62*d)*(-d + 0*d - d))*(-3*d**2 + 2*d**2 - d**2) to the form k*d**2 + n*d**3 + x*d + q + g*d**4 and give g.\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/162 and 67\/297?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 4047421*j + 28331950. Give m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of i**5\/300 - 104*i**4\/15 - 11*i**2 + i + 11. Factor z(h).\nAnswer: h*(h - 832)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/4)\/(i*i*i**(-5)*i)*(i**(-1))**(7\/8))**(7\/6) assuming i is positive.\nAnswer: i**(77\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67\/12 - 17\/4. Let g = m - 11\/15. Let d(o) = o + 3. Let x be d(-4). Which is the nearest to -1?  (a) 3\/2  (b) g  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + s - 1 + 2 - 2 - s + (-s - 3*s + 3*s)*(1 + 1 - 3) + s + s + 0*s)*(1 + 4*s**2 - 1)*(7 - 1 - 5).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3065 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**7\/420 - n**5\/60 - 2*n**3 + 13*n**2. Let v(b) be the first derivative of t(b). Factor v(f).\nAnswer: 2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95812?\nAnswer: 2, 17, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 71255 * -0.05944\nAnswer: -4235.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 622717, 1245436, 1868155, 2490874?\nAnswer: 3113593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12049, -12048, -12047, -12046, -12045, -12044?\n\"Answer: i - 12050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 - 8*h**2 - 3*h + 9. Let c be o(6). Suppose 0 = -b + c + 68. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yeslqlysjels. What is prob of sequence ees?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9606 - 297747\/31. Calculate the common denominator of -33 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 7)*(-2*z + 5*z - z)*(-2*z**2 + 3*z**2 - 2*z**2) + 0*z + 2*z**3 + 0*z + (-1 + 1 - 2*z**2)*(5*z - 2*z - 5*z).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x + 1. Let m be j(5). Let t be (-11)\/(22\/14) - (8 + -20). Suppose -27 = -3*b - 3*d, -t*d + m = 1. Sort b, -2, 5 in decreasing order.\nAnswer: b, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19044 and 1601812.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28069, -28089, -28123, -28177, -28257, -28369, -28519, -28713?\nAnswer: -28957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*w = 120 + 162. Let v(b) = -3*b. Let d be v(1). Put w, -4, d in ascending order.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -529*m + 234*m - 233*m + (m + m - 3*m)*(-3 - 3 + 4) - m + 1 - 1 - m + 0*m + 3*m - m - 1 + 1 + (2 - 1 - 2)*(-m + m - m) as c + o*m and give o.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*j + 4 - 4 - 4*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -5*m - 2. Let u = -4517 + 4515. Determine v(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(704) + -2)*5 + 1 + (4*((sqrt(704) + (sqrt(704) - (0 + sqrt(704))) - sqrt(704)) + sqrt(704)) + sqrt(704)*-3 + 4)**2.\nAnswer: 104*sqrt(11) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103905 is divided by 1676?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-15))\/((-2)\/(-10)). Suppose -y*q - w - w - 26 = 0, 4*q = -3*w - 23. Let p be q\/4*(-1)\/(-2). Which is bigger: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j**3 - 2*j**2 - j. Let g be y(-1). Let w be (-3 + (g - 0))\/(-2). Sort w, -2, 3.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*b**2*i*n**3 - 90*b**2*i*o + b*i*n**3*o + 3*b*i*n**2*o + 2*b*i*n*o - 22*b*n**3*o + 2*i*n - 2*n**3*o wrt b?\nAnswer: 20*i*n**3 - 180*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13765?\nAnswer: 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7295262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224*q + 896 = -101*q - 79. Sort 1, -2, 378, q.\nAnswer: q, -2, 1, 378","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -3\/4  (b) 16  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1088.1769645 + -0.0345645. Let o = g - 1122.15. Let u = -34 - o. What is u rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -78*i**2 - 78*i + 12. Determine j(-2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/5 - 41802*v\/5 - 33448.\nAnswer: 2*(v - 20905)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - 5*l**2 + l - 1. Suppose -m + 70 = 18. Let c = -24 + m. Suppose -4*o - 2*f = -6*f - c, 0 = -4*o - 5*f + 10. What is a(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11)\/(-385)*-7*1. What is the second biggest value in o, 4\/19, 0.3, -0.08?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 135 + 114 = -3*y, 0 = 5*y - 4*j + 388. Let k = y + 82. Solve -4*n = 4*b, -n = -0*n + k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhzm when four letters picked without replacement from {l: 4, m: 1, z: 3, u: 1, h: 6}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**4\/11 - 686*y**3\/11 - 41834*y**2\/11 - 232698*y\/11 - 339948\/11 = 0.\nAnswer: -266, -71, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*0.165.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2041*d + 2042*d - 6216*d + 2034*d.\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10\/208*(2\/(-6))\/((-1710)\/2052)\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -35*q**2 + 155*q + 25. Let t(m) = -3*m**2 + 13*m + 2. Let z = 24 - -1. Let h(w) = z*t(w) - 2*r(w). Factor h(d).\nAnswer: -5*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 899443 + -901088.881. Let i = l - -1645. Let a = 0.77 + i. What is a rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) -0.06  (c) 5  (d) -5  (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1970 - 1975. Let a = 3 - 2.5. What is the biggest value in j, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 191184 and 54?\nAnswer: 1720656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -3. Solve 0 = 2*d + 4*c + a, 4*c = -3*d - 0 - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 + -39. Suppose -5*r + 23 = g, 2*g = 4*r + 3*g - 18. What is the remainder when (b - (-6 + 3))*16\/28 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 3*q**2 - 212*q + 410. Let o be p(2). Let u(v) be the first derivative of -v**2\/2 + 8*v + 3. Give u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of a**2\/2 + 18. Let r(i) = -20*i. What is r(z(g))?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7976 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, c: 1, u: 2, k: 1, o: 1, g: 1}. What is prob of picking 2 w, 1 g, and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 3*h - g, 5*h + 3*g = 2*g - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -200101012220 (base 3) in base 5?\nAnswer: -43033433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**4 - 2*y**2 - 4*y**2 + 4*y**2)*(0*y + 5*y - 3*y).\nAnswer: -2*y**5 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 2, -13 in descending order.\nAnswer: 2, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(-4)*-6*-1. Let k(c) = 112*c - 2013. Let s be k(18). Suppose s*h = 4*h - v. What is the remainder when 76 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-8 - -8 - (4 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*z - 2*l, -5*l = -5*z + 16 - 6. Suppose 3*k - z*r + 4 = 25, 5*k = -r + 35. Suppose 4*h = 9 - 1. Solve 3*n = -2*j + 14, h*n + k*j - 3*j = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 88056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 3*p = 4*p - 28, 5*g - 2*p = -31. Let o be (-3 + 2)\/((-2)\/6). Let d(u) = 3*u**2 + 0*u**o + 2*u**2 + u**3 + 3. Determine d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -22*y**2 + 32*y - 100. Let o(s) = 16*s**2 - 22*s + 67. Let f(z) = -5*a(z) - 7*o(z). Calculate f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4 = 4*z, -4*f + 0*f + 16 = 4*z. Suppose 4*w + 3*i - 77 = 0, f*w - 5*i = 2*w + 19. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (4 - (-3 - (-1 - 3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 261726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/81 and 23\/1911573.\nAnswer: 5734719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 8)*(450\/54)\/(2\/6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (14740\/110)\/((-9)\/(90\/(-20)))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*a**2 - 4*a + 28*a**2 - 11*a + a**2 as h*a + f*a**2 + k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36976\/545 + 114\/109. Let d = 68 + c. Find p such that 4\/5*p**3 - 8\/5*p**2 + 0 + 2\/5*p + 8\/5*p**4 - d*p**5 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**3 + 9*t**2 - t + 1. Let v(r) = 19*r**3 - 25*r**2 - 5*r - 3. Determine v(o) + 3*z(o).\nAnswer: 25*o**3 + 2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -229 divided by 111?\nAnswer: -229\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 at least 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-20) - 7\/(-5). Let c(w) = 3*w**2 + 1. Let o(l) = 4*l**2 + 1. Let g = 21 + -25. Let h(n) = g*o(n) + 5*c(n). Determine h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1550846188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 6 - 11. Solve -i*j - 8 = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.05994495 - -23.06. What is n rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 + -22. Suppose u*l = s - 284, 17 = 4*l + 1. Let m = -197 + s. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2. Let p(y) = -16*y + 20 - 2*y - 12*y. Let r(s) = -1 + 320*s - 638*s + 319*s. Let m(f) = -p(f) - 20*r(f). Determine q(m(x)).\nAnswer: 200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 3*q - 28, -4*q + 24 = 5*p - 0. Calculate the least common multiple of 10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64162116.\nAnswer: 2, 3, 1782281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*o + 2. Let x be -4 + 5 - (-27 + o)\/3. What is the highest common factor of 90 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 15 = 5*j, -3*j - 2*j + 15 = 2*h. Let r be (0\/(-1))\/3 - -3. Solve 0 = 5*c + f - j - 21, 0 = -r*c + 2*f + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 d, and 1 w when four letters picked without replacement from qzqdgggwugzgquq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, b: 2, y: 1}. What is prob of sequence ny?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**0)**(-10\/9)*o**(-9)\/o**5)\/((o**(-2\/7)*o)**(-3\/7)\/(o**(-1\/4))**(-4\/11)) assuming o is positive.\nAnswer: o**(-71378\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.006, -2, -0.008?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 4*p**3\/3 - p**2\/2 + p + 7. Let i = -2 + 1. Let b = i + 2. Give t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -343*f + 327*f + 9 = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 2*j + 0*j)*(8*j + 5*j - 1 - 6*j).\nAnswer: 14*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/(-17) - -1)\/(((-369458)\/(-527))\/(-59))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/66 + 173\/330. Suppose -2*l + 524 = 5*d, l - 5*l + 4*d + 1076 = 0. Let s = -2935\/11 + l. Which is the biggest value?  (a) 5  (b) s  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -62 - -117. Suppose l = 5*s + 10. Let k(z) = z**3 - 10*z**2 + 9*z + 3. Let o be k(s). Is 3 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 110.5 + -383. Let u = x + 392. Round u to 0 dps.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22990262?\nAnswer: 2, 797, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-10))\/(1110\/185*4\/30)*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1533 and 4135740.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11821 + -6345. Suppose -11*i - u = -15*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.143 + -86.143. Let t = 85.9984 + f. What is t rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -3. Let f be ((-6)\/x)\/(15\/(-20)). Solve 3*m = 5*u - 37, 3*m + 5 = -f*u + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 9*p**2 + 4*p - 12. Let c be s(9). Let z be 6\/36 + 44\/c. Sort 1, -5, z, 0.\nAnswer: -5, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 85.65 and 5948856.\nAnswer: 5948941.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13317, -13307, -13295, -13281, -13265, -13247?\nAnswer: -13227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*(w**(-44)\/w)\/w)*w)\/w*w**16\/w*(w*w**13)**(-13\/6))**(2\/27) assuming w is positive.\nAnswer: w**(184\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 8*q - 12. Let f be l(-10). Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + v + 60. Does 3 divide j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6)\/((((o\/((o**(-8\/5)*o)\/o))\/o)\/o)\/o))\/(o*(o**(1\/7)*o)\/o*o**(-2)) assuming o is positive.\nAnswer: o**(-166\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1041 (base 5) in base 4?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/11)*k\/((k\/(k**(-4\/9)\/k)*k)\/k))**(-43) assuming k is positive.\nAnswer: k**(6536\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from yczzy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.382416 to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 9939 = 4*c, -16*c + 13*c + 7449 = -3*b. What is the greatest common factor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.027?  (a) 0.2  (b) -87.5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 19.5. Let n = m - -2.3. Let g = 1.9 + -2. Which is the nearest to 2\/7?  (a) 5  (b) n  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/7 - 0)\/(47\/(-658)). Let v be ((-21)\/y)\/((-3)\/4*-1). Solve v*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 - 98 - (34 - 54)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 32. Suppose -5*x = -b*l + 3*l - 1150, 5 = -l. Suppose -5*h - 1 = -x. Calculate the common denominator of -57\/7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -795, -3, 2.\nAnswer: -795, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -47, -177, 0.2, 3, 4\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3229 + 7175 = 172*g - 750*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - 8*t + 9. Let u be z(4). Let c be 245\/u*5\/((-25)\/4). Suppose 9*x - c = 7*x. What is the highest common divisor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 9*b**4 - 7*b**2 - 2*b - 2. Let w(p) = p**4 - p**3 - 1. Let o(d) = 2*f(d) - 4*w(d). Let o(l) = 0. What is l?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -19032, -18887, -18742, -18597, -18452?\n\"Answer: 145*o - 19177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - p - 495. Let d = p - 493\/5. Sort d, 2, 0.5 in descending order.\nAnswer: 2, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = i + h - 0, -2*i + 3*h = -11. Suppose -i*z = -z - 12. Let k(a) = -2*a - 5*a**3 + 4 + 4*a - 5*a**2 + 6*a**3. Give k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 170.98 to the nearest integer.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1098 divided by 366\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -28*z + 301. Let m(n) = 3*n - 30. Let b(t) = -49*m(t) - 5*r(t). Let d(i) = -4*i - 17. Determine 3*b(l) - 5*d(l).\nAnswer: -l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + y + 36 = 2*j, 5*j - 5*y - 20 = 0. Let l = 55 + j. What is the greatest common factor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 128 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 2:46 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**5 + 367*x**4 + 183*x**3 = 0.\nAnswer: -183, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, 9 in ascending order.\nAnswer: -8, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53.7 + 51. Let v = 3 + q. Which is the third biggest value?  (a) v  (b) -4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 2*q - 35 = -5*s, -5*q = 0. Let x(u) = -u**3 + 6*u**2 + 5*u + 6. Give x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 19. Let o = -229 - -228.9. What is the nearest to 0.1 in 3\/5, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -5\/726969 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -16 - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 572*j**2 + 1 + 302*j - 301*j - 1139*j**2 + 963*j**3 + 567*j**2 to a*j + g + z*j**3 + s*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3 - 9 + 6 + 6 = 0, -a + 5*k = 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4*f**2 + 6*f - 3. Give c(6).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - g + 0*g)*(-2 + 2 + 2*g)*(-2 + 0 + 4).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**4\/5 + 466331*z**3\/5 - 54363585489*z**2\/5 - 598051204231*z\/5 - 108737430482 = 0.\nAnswer: -10, -1, 233171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/3 and 7\/82.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {s: 1, b: 7, y: 1, j: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - -4. List the prime factors of (-2)\/a + ((-3963)\/18)\/(-1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 76*u - 108. Let q = 42 - 24. What is the remainder when w(4) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2 - 30*a + a**2 + 17*a + 7*a. Suppose 3*h = -c + 15, 0 = -3*h + 5*h - 4*c - 24. Give y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/(-22) - (-796)\/22 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -32*c + 28. What is the units digit of t(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 214  (b) 1  (c) 0  (d) -18\/13  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -73 + 148 + 17*w + 3*w**2 - 2*w**2. Let o be r(-9). Solve -12 = -5*t + 3*d - 35, 0 = -o*t + 4*d - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = 2*v - 0*m + 3*m, 5*m - 20 = 2*v. Let f = v - -24. What is the highest common factor of f and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-6)*(-20)\/40.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (152 + 28 - 187) + (81 - 0) + 1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4971*j - 4967*j + 2*o = 3*o + 13, 0 = 2*j - 93*o - 469 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 + 7*d - 5. Let f be (-239)\/7 + -8 + (-114)\/(-14). Let h(u) = -11*u - 383. Let a be h(f). Give b(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10424\/41 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -22.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -358001 (base 9) in base 11?\nAnswer: -138139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 5*r = -2, -4*r + 0 + 1 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.7 and -4162.64.\nAnswer: 7076.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*p - 34*p - 20820. Let d = p - 2263. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76189148 by -1858.\nAnswer: 41006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 195052 (base 10) to base 6.\nAnswer: 4103004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9298\/21 less than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u**2. Let v = 28 - 10. Suppose 5*p = v + 22. Let x(h) = -3*h + p*h + 2*h. Calculate j(x(w)).\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1629571540 to the power of 1\/2, to the nearest integer?\nAnswer: 40368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3*x - 189 + 21, 0 = -5*x + 25. Is -61 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*f = -f - 23, j + f = -5. Let m = -5 + -3. Is j greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {p: 5, r: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 940 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.45 * -367324.5\nAnswer: -165296.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.02  (b) 2.7  (c) 0.3  (d) -3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(120))\/(sqrt(360)*-1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*v + 2*m = -46*v + 11339, 0 = 5*v - 4*m - 18891. List the prime factors of v.\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-6))\/((-2)\/(-12)). Let p(f) = -f**3 - 50*f**2 + 74*f - 1552. Let o be p(-52). Solve -18 = y*d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -408 - -369. Sort 3\/2, 0.2, a, 0.4, -0.2 in increasing order.\nAnswer: a, -0.2, 0.2, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -91*a**3 + 1739*a**2 - 8198*a + 880.\nAnswer: -(a - 11)*(a - 8)*(91*a - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*q**3 - 2*q - 12*q**3 + 6*q**3 to the form l + j*q**3 + f*q**2 + k*q and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8169\/2 - 4083. Factor -o - 21\/4*n**2 + 27\/4*n.\nAnswer: -3*(n - 1)*(7*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-213 + 2*o + 0*o + 190)*(2*o**2 - 2*o**2 - o**3) in the form t*o + b + r*o**2 + n*o**3 + p*o**4 and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3303 and 86979.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 6, -2, 1.6, -5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 24*b + 270 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40*(-4)\/((14\/(-28))\/((-1)\/(-48)))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -2*m - 6*g, -20*m - 73 = -g + 93 - 50 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 6:16 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -385094600 to the nearest one million.\nAnswer: -385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*j = 6869 - 4493 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 63*j**2 - 102*j - 590. Let p be z(-10). Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 51 + 56 = 0. Suppose 1 = -2*z + 9. Suppose -z*v = -v. Sort -4, v, l in descending order.\nAnswer: v, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*n**2 - 4 - 4 + 4 + 3579*n + 5 - 3.\nAnswer: 9*n**2 + 3579*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*x = 2*a + 16*x - 12186, 0 = -6*a + 3*x + 36555. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (2 - 0) - -3. Suppose -4*i + 2*v = -0*v - 330, j*i - 412 = 2*v. Solve -i*n**2 - 67*n**2 + 31*n**2 - 7*n**2 - 5 - 50*n = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22439709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 7:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -1 + 2 + -1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((3\/180)\/(-1))\/((-370)\/555))\/(1\/2).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*b)*(-b + 5*b - 2*b) + 0*b + b**2 + 0*b - 3*b**2 - 9*b**2 + 2*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-2 + (-5)\/(-3)). Let x = -276 + 1930\/7. Which is the nearest to x?  (a) 0.3  (b) w  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + z**2 + 1. Let x be 36\/(-72) + 1 + 9\/(-6). Let y(m) = -6*m**3 + 2*m**2 + 2*m + 4. What is x*y(k) + 2*d(k)?\nAnswer: 4*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 468482106*g**2 + 396537393*g?\nAnswer: 936964212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 7) to base 13\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 3*m**2 - 23*m + 35. Let b be g(8). What is the greatest common factor of b and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/12096 and 75\/28.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/510 and 143\/285702.\nAnswer: 1428510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 7*r**3 + 45*r**2 - 7*r + 26. Let d(y) = 6*y**3 + 44*y**2 - 6*y + 22. What is -6*d(h) + 5*p(h)?\nAnswer: -h**3 - 39*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 13*h**2. Let z(x) = 13*x + 3*x + 18*x - 20*x. Give i(z(u)).\nAnswer: 2548*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -25*h**2 + 35. Let b(v) = 2*v**2 - 3. Let m(s) = 35*b(s) + 3*q(s). Let j(n) = -2*n. Give j(m(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 5*d**2 - 3*d - 5. Let o be g(-5). Let v be 6\/o - 12\/(-5). Solve 4*k - 16 = i + 2*i, -v*k + 12 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-18))\/(-1 - 4\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2172\/925 or -2?\nAnswer: -2172\/925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -490?\nAnswer: 48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-19 - -15) + 1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -36.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 792228*z**4 - 111388*z?\nAnswer: 9506736*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-3) + 5 + (-256)\/48?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 26*d + 3. Let q be g(26). Suppose -q*o - n + 1394 = -6*n, 2*o + 4*n = 922. List the prime factors of o.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 10*q**2. Let r(o) be the first derivative of -6 + 0*o + 0*o**2 - 2\/3*o**3. Calculate r(p(i)).\nAnswer: -200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (15\/(-9))\/((765\/(-162))\/17). Suppose d*x + 4131 = 11595. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 0 + 4. Suppose 24 = 5*k - 1. Suppose 5*h - 44 = -3*z + 12, -4*z = -k*h + 77. Solve -3*j + g = h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 222849 + -109555. Let w be 375568\/(-6) + 6\/9. Let d = g + w. What is d rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3682016923 to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2914*t - 2909*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-5\/6)\/(y*y*y**(-3))*(y\/(y*y**(-4\/11)))\/y**(-8) assuming y is positive.\nAnswer: y**(563\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 11*x**2 - x + 2. Give a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 3057?\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-5\/2))**(-29))**(-29) assuming q is positive.\nAnswer: q**(-4205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*h - 2450 = -33*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/34 at most as big as -1\/52687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006127107 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 10 = -c. Suppose -c*i = 3*i. Suppose 8*f - 11*f + 33 = i. Calculate the highest common factor of 121 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 + 38*k + 72. What is the lowest common multiple of 6 and a(36)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 86 = -0*i. Suppose 0 = 5*r + 8 - i. Calculate the least common multiple of r and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 780799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**2 - 139*w + 43. Let y be q(46). Let x = -4.9 - 1.1. Which is the second biggest value?  (a) y  (b) 3\/4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/78 and 44\/75.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/256*-16)\/((-4)\/272)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 6*v**2 + 0*v**2 + 4*v**2)*(2 + 2 - 5)*(-3*v + 2*v**2 + 3*v) + (-3*v**4 + 4*v**4 - 10*v**4)*(-2 - 3 - 1).\nAnswer: 58*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 48903471 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -30\/19  (b) -2.5  (c) 0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 519  (b) 5\/98  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12727*f**2 - 8092*f**2 - 4507*f**2.\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43255*m**2*r*t**3 + 1169*m**2*r*t - 2*m**2*r - 80*m*r*t**3 + 9*m*r + 4*m*t**2 - 45*m wrt t.\nAnswer: -259530*m**2*r - 480*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b*n**2 + 3*b*n + 6108*b - 17146*n**3 - 6 wrt n?\nAnswer: -4*b*n + 3*b - 51438*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f + f - 3*f)*(-6 + 6 - f) in the form o + s*f + a*f**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -99 (base 10) to base 13.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 1. Let b be p(-1). Let z be -1 - b*(-1)\/2. Suppose 0 = 2*n - 2*x - 8, z = -5*n - 3*x + x - 1. Sort 4, 3, n in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 + -49. Suppose 0 = o*t + 15 - 39. Suppose 4*s = 3*n + 12, -2*n - 4 = -t*s + 8. Do 4 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 66?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 96*d**2 - 92*d - 485. Let s be l(97). Let f(r) = r**2 + 7*r - 5. Let q be f(-6). Sort -3, 5\/2, q, s.\nAnswer: q, -3, s, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v + 6. Suppose p = -v*p. Suppose 4*d - 5*z + 2 = 0, 5*d - 4*z + 0 - 2 = p. Let h(u) = -u + 1. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 34*s**2 + 25*s - 1478. What is o(-35)?\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 55*i**2 + 118*i + 168. Give d(-53).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 - 490236*o - 980484.\nAnswer: 3*(o - 163414)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minus 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**3\/9 + 20*g**2\/3 + 166*g\/9 + 12 = 0.\nAnswer: -27, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.0577 + -183.9423. Which is bigger: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h, 0 = 198*s - 193*s - 3*h - 188 + 58. Solve 0 = -b - 4*t + s, 132*b - 135*b - 2*t + 28 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2360221*c**3 - 1180300*c**3 - 1179918*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*r + 285 = 53*r. Suppose -5*t = -28 - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 85*t**2 - 26179*t - 351. Give s(308).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*m - 3*m - 2*m**3 + (2 + 3 - 4)*(0*m**3 + 0*m**3 - 2*m**3) + m + 2*m**3 - m - 208*m**3 + 637 - 637 in the form f*m**3 + g + i*m + u*m**2 and give f.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnmhmnmmnnnmh. Give prob of picking 2 m and 1 n.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 4*c - 26, 0 = 10*c - 28*o + 26*o - 50 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10230111 (base 4) to base 8\nAnswer: -45425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4124 (base 5) in base 16?\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.00995 - 6404.739.\nAnswer: -6404.72905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 39179*d**2 + 195909*d + 72. Give p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 55543241 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.8 and -0.48.\nAnswer: 0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k + w = -11*k + 22, -5*w + 18 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of 19*m**4\/12 - 638*m. Let j(l) = -21*l**2. Determine z(j(u)).\nAnswer: 8379*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 23*q - 16*q. Suppose 0*r - 18 = -2*r. Let w(n) = n - 10. Let b be w(r). Put b, -2, q in decreasing order.\nAnswer: q, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**2 + 728*h - 965*h + 0*h**2 - 731*h - 874*h to the form w*h + q*h**2 + j and give w.\nAnswer: -1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1092171*p - 4. Let i(u) = 3*u. What is i(c(d))?\nAnswer: 3276513*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + 5*sqrt(77) - sqrt(77))*5)\/sqrt(7) - ((1*sqrt(66) - sqrt(66))\/sqrt(6) - (sqrt(11) + 1)*6).\nAnswer: 6 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 384 - 381. Let b(w) be the first derivative of 0*w - 13 - 4\/7*w**2 - 2\/21*w**q. Suppose b(h) = 0. Calculate h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 9. Let y(z) = 15 - 8 + 5 + z**3 + 9*z**2. Let v be y(-9). Solve 0 = 3*r - v, -j = -3*q - 0*r - 2*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22\/23 + -152\/207. Let b = 15 - 16. Is b at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + 0*l - l)*(-1 - l**2 + 1)*(-36 - 33*l + 36).\nAnswer: 66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1433113141 (base 5) to base 11\nAnswer: -2166867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (28\/126)\/((-42)\/(-10773))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -44\/5 + 9. Let u = 8\/15 - d. Which is the third biggest value?  (a) -3  (b) 3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 + 1.11. Let q = -1.06 + o. Which is the closest to q?  (a) 4\/7  (b) 2\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2962 is divided by 579.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 - 0)\/(-1)*(-1 + 2). Let v(k) = -k**3 + 10*k**2 - 15*k - 10. What is the remainder when 127 is divided by v(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -27 - (-9 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/9 + 25\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 - 18. Let p be (-4)\/(-10)*(6\/(-8) - (-1679)\/292). Solve -q - c + p = 1, 2*c - 8 = h*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13550, 13560, 13570, 13580?\nAnswer: 13590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + -2)\/((0 - 0) + -1). Find the third derivative of -39*h**2 - 67*h**6 - 5 + 4 + 40*h**f wrt h.\nAnswer: -8040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**3 - 2*l**3 + 0*l**3)*((-9*l - 6*l + l)*(-3 + 0 + 5) + (1 - 2*l - 1)*(0 + 3 - 4))*(8 + 11 - 17).\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vnvn when four letters picked without replacement from enveevenneee.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -15*d**2 - 18*d - 66. Determine w(-5).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - n = -q - 1442, -5*n = -4*q + 1891. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -2  (b) -3682  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-1*2*(2 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 934225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -629*n + 121. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)\/sqrt(5) - sqrt(13) - sqrt(13)) + 0 - (sqrt(637) + 0))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9680 - -9734.21. Round u to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*l = -135. Solve 5*v + l = 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1010 = 5*t - 0*t. Let b = -53 + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and -1262560276896?\nAnswer: 1262560276896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -268207, -536413, -804619, -1072825, -1341031, -1609237?\nAnswer: -1877443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 10 - 2 = 0. Let q be 4\/t*(0 + 2). Let w be 1\/(-2*(-2)\/12). Solve -w*m + q = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (41\/(-246))\/((-2)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**2. Let m(h) = -1729*h**2 - 78. Let p(q) = -91*q**2 - 4. Let w(s) = 2*m(s) - 39*p(s). Give k(w(n)).\nAnswer: -16562*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 2679 divide 2069875770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/10*570\/((-1406)\/(-37))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*a**3 - 700*a**4 + 2*a + 15*a**2 + 7*a + 698*a**4 - 2 - 14*a**2 as o*a**3 + w*a + i*a**4 + h + l*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 1. Let y(v) = t*v - 2*v + 4 + 0*v. Is y(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26543 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3297122 to the power of 1\/2, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -52502 and -25.9.\nAnswer: -52527.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/23, 0.3, 0.1, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17)\/(-3) - (10\/15 + -1). Solve j + j + a = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 327.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + -2 - -3*1. Let t = -17 + 19. Let u(l) = -1 + 2 + l + t. Calculate u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 8:58 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, -6\/7, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*d**2 - 17*d**2 + 43*d**2 - 9*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*z - 157*z = -74*z + 55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-537)\/1432*12\/(-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3 + 5*n**2 + n**3 - 9*n - 4 + 2*n. Let q be ((-12)\/10)\/((-26)\/(-5) - 5). Give h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 25 + 29 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 2*c + 3. Let m(i) = 376*i**2 + 10*i + 17. Determine 5*h(j) - m(j).\nAnswer: -381*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*z - 23*z = 0. Solve z = -15*m + 16 - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1489822 smaller than 1489822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + sqrt(1584))*5*-2)**2.\nAnswer: 9600*sqrt(11) + 634000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-3)\/(-21))\/(12\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (2 + -8)*(-4)\/8. Let m(w) be the third derivative of -4*w**2 + 0 + 5\/24*w**q + 0*w - 2\/3*w**3. Find the first derivative of m(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 6:06 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 7441854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 4. Let i = 1654\/7 - 13379\/56. Is n > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(-4)\/8*-2. Let h(g) be the first derivative of -10*g**2 - 8*g**2 - a*g + 17*g**2 - 2 - 11. What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrsr when four letters picked without replacement from rrssrrrrsrr.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**2\/4 + 447*u\/2 - 893\/4 = 0. What is u?\nAnswer: 1, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 5:43 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1)*(31*w - 92*w - 49*w)*(3*w**4 - w**4 + w**4).\nAnswer: 330*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 11:17 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 4*m**2. Let i(g) be the second derivative of 5*g**4\/12 - 3*g. Let f(z) = 3*z + z - 4*z + z**2. Let y(v) = -4*f(v) + i(v). Give y(q(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14 and 17983.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 7 = 5*v - 2*o, -5*o = -3*v + 4. Suppose 4*x - 6*x = 5*p - 2271, x + v*p = 1133. What are the prime factors of x?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 o when four letters picked without replacement from {o: 1, u: 1, g: 7, z: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 12*x**2 - 1798*x - 26198. What is t(-15)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 24*p = 3*b + 870, -b = -5*p - 115 - 58 - 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -4*s**3\/3 + 54*s**2 - 11*s + 2. Let o be n(13). Solve -o*y + 20 = 0, 0*r - 3*r + 37 = 5*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1887661.\nAnswer: 47, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 16.028 + 13\nAnswer: 29.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 539, 540, 543, 548, 555, 564, 575?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 9:36 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 120*i - 123*i + 5*d, -d - 3 = -18*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/410 and -1\/35?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.57 + 3.13. Let g = 11 - 15.1. Let p = g + k. Round p to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38892 or -38860?\nAnswer: -38860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -34a (base 12) to base 15\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 + 60. Calculate the lowest common multiple of j and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b\/((b**0*b)\/b)))\/b)**29*(b**(2\/5))**(1\/9) assuming b is positive.\nAnswer: b**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*k - 218*k - 1182 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*l**3\/5 - 6*l**2 + 66*l\/5 - 24\/5.\nAnswer: -6*(l - 1)*(l + 4)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5836997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3856?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2\/3 - 253244*v\/3 - 16033130884\/3 = 0. What is v?\nAnswer: -126622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 1 = v - 6, 2*b - 3*v + 8 = 0. Sort b, 0, 5, 4 in ascending order.\nAnswer: b, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + p - 1)*(3 + 0 - 5) - 5*p + 3 + 3*p - 1)*(1037*p - 2353*p + 1003*p) to u + k*p**2 + c*p and give c.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 5:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3283*z + 183*z - 179109 - 12183 = 256*z for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-21)*s*s**(-3\/11)*(s**(-2))**(1\/5))**(-3\/23) assuming s is positive.\nAnswer: s**(3411\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 5*u - 7. Let g be o(3). Suppose s + 8*c - 4*c = -26, -37 = -s + 5*c. Solve f - 6 = d - s, 3*f = -2*d + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -4*x + 36. What is the tens digit of l(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1594, 25, 4, 0 in ascending order.\nAnswer: -1594, 0, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.3 + 0.3. Let k = b - -5. Let p be (-4)\/6 + -1 + 1. Is k greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1684696 divided by -2171.\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -8215, 7, -2, -24 in decreasing order.\nAnswer: 7, -2, -7, -24, -8215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z**3 + 12*z**2 + 3*z - 31. Let j(l) = 8*l**3 + 12*l**2 + 2*l - 33. Let b(k) = -6*j(k) + 7*y(k). Suppose -q = q + 22. Is 2 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -165 times -139.56\nAnswer: 23027.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.377  (b) 6  (c) 571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 0.2604373?\nAnswer: -0.5208746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.02689 * -4.3\nAnswer: -0.115627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**4\/3 + 20*v**3\/3 + 72*v**2 + 496*v\/3 + 352\/3 = 0 for v.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -5  (b) -7  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30265 - -30315. Which is the smallest value?  (a) 1  (b) t  (c) -0.09  (d) -5  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**2\/y*y**(2\/11))\/((y*y**(-1\/3)\/y)\/y)**(15\/8)*((y**(-1\/5)*y)\/(y*y\/(y*(y*y\/(y\/y**(-2\/13)*y))\/y*y*y)))\/(y**(-1\/3))**(-1\/46) assuming y is positive.\nAnswer: y**(213163\/49335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1427, -2, 2, -1, 19, 5 in descending order.\nAnswer: 19, 5, 2, -1, -2, -1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2492233186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 439923*z**3 + 302908*z**2?\nAnswer: 2639538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100012100002 (base 3) to base 10.\nAnswer: -712478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -12. Suppose -5*z + u = 0, 5*r + 2*z = -0*z + 19. Solve w - r = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(180))\/sqrt(12) + 3*(sqrt(60)\/sqrt(4) - sqrt(15)))\/((1*sqrt(720))\/(sqrt(9) - 2*sqrt(36))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/164 and 61\/1598?\nAnswer: 131036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 14619 (base 10) to base 14\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -3*z + 36, 5*z - 9 - 1 = 5*j. Suppose -z*v + 264 = -5*v. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(4 - 2 - 1)*(-1 + 1 + 1)*(244*y + 2 - 105*y - 115*y).\nAnswer: -24*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 67036476 or -1?\nAnswer: 67036476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + l = 3*s - 211, 4*l = -5*s + 213. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1699 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000022161 to seven dps.\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -337 - -87. Let y = x - -250.1. What is the smallest value in -0.2, -3, 0.27, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 112*t + 122*t - 4409 = 0, 4420 = a - t. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 4 - 1876*m**2 - 16*m + 2*m**3 + 1864*m**2. Determine h(13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 98 + 1?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 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: Calculate prob of sequence glnl when four letters picked without replacement from vgglgvnggglvggggwng.\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**2)**(1\/23)\/(s\/((s\/s**(3\/4)*s)\/s)*s*s**(-5)))**(1\/24) assuming s is positive.\nAnswer: s**(307\/2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12848682 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -106004606?\nAnswer: -1\/106004606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1713385535.\nAnswer: 5, 342677107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1809 + -3694. Let o = -49027\/26 - l. What is the common denominator of 151\/42 and o?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.011368 less than -14012?\nAnswer: -14012.011368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 39673 times 159?\nAnswer: 6308007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do 29805 and 29734 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2178937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15538 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 96675\/53576 + -337\/181. Calculate the common denominator of 41\/814 and s.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 s when four letters picked without replacement from sssllsslss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2329315924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 67 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 0, 4*c - 5 = -5*i + 3. Suppose 0 = -17*d - 32*d + 49. Put c, 5, d in ascending order.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 7:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 122071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3\/4  (b) -0.8  (c) 2\/19  (d) 0.1  (e) -1.1  (f) -0.006\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-2 - -2) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, b: 1, j: 2, i: 2, c: 1}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 1)*(0*f - f - 8*f).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 909 is divided by 112?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5618.156 milliseconds?\nAnswer: 5618156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-9))\/(29\/((-145)\/15))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-696)\/(-812))\/(8\/((-560)\/(-135)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*u + i - 822, -5*u + 1358 = -i. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 682298 divided by -1\nAnswer: -682298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23 + -22221?\nAnswer: -22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 0*u**2 + 0*u**4 + 1\/3*u**3 + 0*u + 0*u**5 - 2\/3*u**6 - 8. What is the third derivative of d(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-5))\/((3\/20)\/(135\/1080)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.07304 + -0.07304. Which is smaller: w or -2.83?\nAnswer: -2.83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f + 1. Let x be i(1). Let a be (x - (6 - 3))\/1. Is 1*37 - a\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -4  (c) 13539\/8  (d) -1\/11  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4330*b = -4325*b - 100 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220222 + -1?\nAnswer: -221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7897 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 6 - (69 + -67 + (-6 - (-21 - -5))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14524663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.851 - 0.149. Sort i, -1.9, 2 in descending order.\nAnswer: 2, -1.9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1295733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -c**4\/24 - 2*c**2 + 3*c. Let b(w) be the first derivative of p(w). Suppose -10*k + 358 - 368 = 0. Calculate b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 407\/148*18\/(-33)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -2*j**6\/45 + 61*j**4\/12 - 2*j**3\/3 + 29*j**2\/2 - 154. Let s(v) be the third derivative of l(v). Differentiate s(x) wrt x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.21 and -283.1.\nAnswer: 59.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -7. Sort 2, n, -1 in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38523745 - 5958?\nAnswer: 38517787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**6\/2 + 2*q**2 + 11. What is the second derivative of z(w) wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 234 - 136. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004353 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2694654655.\nAnswer: 5, 7, 11, 6999103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 336163 = x, -3*x = 4*f + 2*x + 448249. Let m = 52056 + f. Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j - 128 = 103 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -672*3696.\nAnswer: -2483712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34 + -14 - 66)\/12?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 2*z + 25, -13*z = -10*z + 27. Let w = 15 - 11. Let h(d) = -1 - w - d**2 + d + 6*d. Let s(k) = k**2 - 6*k + 4. What is q*s(a) - 6*h(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 32461, 129827, 292097, 519271, 811349, 1168331?\n\"Answer: 32452*b**2 + 10*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 42144261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -1, 88 in ascending order.\nAnswer: -1, 25, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1) + 3 + -1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 168.625 and -0.5.\nAnswer: -84.3125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h - 2. Let c be n(-3). Suppose 5*j + 2*r + c = 0, 4*j + 6 = -r + 1. Suppose j = 5*s - 14 - 6. Solve b - 2*a = 3*b + 4, s*b + 3*a + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11332266 divided by -5666133?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -155*x + 375*x**2 - 376*x**2 + 155*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 - 1121120?\nAnswer: -1122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -306115 (base 12) to base 6\nAnswer: -24120425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**3 - 7*n**2 - 8*n - 10. Let z be h(-2). Let y be (150\/9)\/((-1)\/(-3)). Let g = z + y. Solve -31 = -6*t + t + g*l, 8 = -4*t - 5*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/33 in -3, 45, -0.4, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 130220 and 338572?\nAnswer: 1692860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179 = -35*j + 521. Solve -j + 13 = -7*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*m - 133 = 4*g + 67*m, -2*g - 47*m - 282 - 7 = 0 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -19*n**4\/7 - 1139*n**3\/7 - 4253*n**2\/7 - 2965*n\/7 + 24 = 0.\nAnswer: -56, -3, -1, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11096709 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/31944 and -109\/183678?\nAnswer: 734712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 4273 = -3*f + 7*x, -f = 4*x - 1421. Let v = f - 703. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8085 by -105.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*g**2*o - 4*g**2*v**2 - 2*g**2 + g*o*v + v**2 wrt v.\nAnswer: -8*g**2*v + g*o + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 7:43 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1434 - 1422. Suppose -26 + 10 = -4*w. What is the tens digit of l + (w\/8*-10 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.843 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 16) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z - 27 = 57. Let s be -3 + 11\/(11\/z) - -1. Solve -s*v = -0*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.179  (b) 2\/7  (c) 3\/4  (d) 4  (e) 0.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4237260 (base 8) in base 4?\nAnswer: -10103322300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 9 = -10*u + 9*u, 2*u - 3*f = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1916 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 6 - 25. Suppose -x*n - 18 = -13*n. Let w(l) = -2*l**2 - 4*l. Give w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -65, -114, -195, -308, -453?\n\"Answer: -16*k**2 - k - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -0.4, 20, -11.9, 10 in ascending order.\nAnswer: -11.9, -0.4, 0, 1, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68.62553 litres to millilitres.\nAnswer: 68625.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 3133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jttg when four letters picked without replacement from ettgeje?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/256200 and 187\/126000.\nAnswer: 7686000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -3*n - 25. Let x(h) = 2*h**2. Give x(p(i)).\nAnswer: 18*i**2 + 300*i + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 + (8 - 14) + 203 + -106.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/42682446 and 64\/135?\nAnswer: 640236690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 71.62276 days?\nAnswer: 6188206464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 9:30 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -61, -56, -51, -46?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omzm when four letters picked without replacement from zssmmssozzmmszmmssmm.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 61 - 7 = 0. What is the first derivative of -2*k**4 + r - 4*k**4 - 15 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xqf when three letters picked without replacement from {o: 1, q: 1, f: 1, m: 1, x: 1, u: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 11*u. Let a(p) = -85*p. Let h(x) = -a(x) - 7*c(x). Let z(m) = -m**2 - 511*m. Give h(z(k)).\nAnswer: -8*k**2 - 4088*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) -2  (b) 5  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271705.\nAnswer: 5, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 55 - 25. Suppose 0 = -3*g + 2 + 4. Calculate the remainder when b is divided by (-32)\/10*(-10)\/g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -172 - 22786?\nAnswer: -22958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4365\/1246 - -2\/623. Which is the nearest to 2\/3?  (a) 2\/5  (b) u  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -5  (b) 30  (c) 3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 15*t**3\/2 + 25077*t**2\/2 - 154068*t + 30312 = 0.\nAnswer: -1684, 1\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/(-3654) + ((-141)\/(-27) - 5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and 16842041607.7.\nAnswer: 16842041602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*y, -5*y = -2*m - 0*y - 28. Suppose 4*d - 2*a = -d - 8, -4*d - 2*a = -8. Let o be 1\/(-4)*m - d. Is o > 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19885 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 23*a + 29*a - 377 = 81*a, -a = 16*r + 13 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8357974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 567981929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 95598922 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 9) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q. Let n(u) = 363*u**2 + 77. Let l(y) = -28*y**2 - 6. Let b(x) = -77*l(x) - 6*n(x). What is j(b(t))?\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402229 is divided by 104?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 55381981 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 997693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = l - 40514, -l + 213*r + 40514 = 212*r. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2028608526.\nAnswer: 2, 3, 7, 2269, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 8*b = 558. Let j be (-2742)\/b + 5\/((-1)\/1). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3*f = -31, -232*f = -5*t - 227*f - 5. Solve -5*q + 15 = 2*j, j - t*q = -20 + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*(l**(-16)*l)\/l*l**(-14) assuming l is positive.\nAnswer: l**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50066 is divided by 24664.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 22*v + 45. What is the remainder when (-5)\/(15\/(-2))*51 is divided by s(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 183*v**2 - 11*v - 46. What are the prime factors of r(-3)?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*k + 327*w - 328*w = 67*k - 356, -12 = -5*k - 3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 10:00 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {l: 1, p: 1, w: 1, t: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/3  (b) 1569  (c) 0.2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210120101011 - -100021?\nAnswer: -210120000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**4 - 334*x + 352*x - x**4 + (-2 + x**2 + 2)*(x - x - 2*x**2) to the form n*x**3 + u*x + y + o*x**2 + k*x**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from {a: 10, p: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*(b**23*b)\/b)*b**(-18\/5))**(-1\/87))**(11\/2) assuming b is positive.\nAnswer: b**(1463\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 50 = s, 2*c + 13 = s + 30. Calculate the highest common divisor of 1177 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*o = -3569, -2*o - 612 - 575 = -i. Let f = 2661 - i. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 525, 1177, 2049, 3249, 4885, 7065, 9897?\nAnswer: 13489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -79*p - 1. Determine j(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r + 5*r + 42*r**2 - 2*r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3 + 0 + 0*g + 1\/4*g**5 - g**2 + 1\/4*g**4.\nAnswer: g**2*(g - 2)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5*u - 28 = 4*s, -2*s + 21 = -5*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -754408087\/984 + 766675. Calculate the common denominator of -5\/2 and i.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**3 + 10*w**2 + 2. Let k(x) = -23*x**3 - 85*x**2 - 17. Determine -6*k(n) - 51*l(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 340 - 4?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 151.9 - 151.9. What is the biggest value in -44, -3, -2\/15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 2 - 4*x + 0 - 3*x to c + f*x and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -9999*z**2 + 2*z - 3. Let r be l(-3). Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 182 - -576. Differentiate t - 285 - 347 - 49*l**4 - 267 with respect to l.\nAnswer: -196*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-5) + (-264)\/(-110). Suppose 0 = i - 5 + 3. Solve f = g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 4) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 608 + -598. Suppose -24*d + 9 = -21*d. Suppose s*t - d*t = 2100. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 3:18 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2 - t + t - t. Let s be r(-6). Suppose 0 = s*j + 3*w + 4, 3*j + 4 = 3*w + 22. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 97\/(530784\/4752)*-19.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) - (-4 + sqrt(1053) + 2)) + sqrt(1053))**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1616 and 6926681?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -8949278?\nAnswer: -2684783.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(117)\/(2*sqrt(9)) + (sqrt(1573)*-1)**2).\nAnswer: 5*sqrt(13)\/2 + 7865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 0.44.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/4 and -43\/52786?\nAnswer: 105572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.28 + -0.72. Let h be 1760\/372 + -4 + 0\/(-1). Let j = 2\/31 - h. Which is the fourth biggest value?  (a) -0.2  (b) p  (c) j  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 3*z - 51, -4*z + 3*o = -3 - 48. Suppose 2*p = -p - z. Let h(v) = -8*v - 22. What are the prime factors of h(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 488, 12500, -1, 0 in descending order.\nAnswer: 12500, 488, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2926 and 309928?\nAnswer: 23864456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of -53*r**4\/12 - r**3\/2 + 10*r**2 + 5*r - 14. Find the second derivative of d(g) wrt g.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4*f + 38. Calculate r(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1301333 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 6*r**2 + 118*r - 971. What is x(9)?\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11821 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/((h\/((((((h\/h**(-21))\/h)\/h)\/h)\/h)\/h))\/h))*h)**(2\/5)*h*h\/h**23*h**(-21) assuming h is positive.\nAnswer: h**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/5)\/((-9)\/10). Let p = s - -4. Let q = -90.9 - -94.9. Which is the closest to -1\/2?  (a) p  (b) -0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*a - 10 = 53*a. Suppose 2*l - 5*d = 55, 3*d + 166 = a*l + 19. Calculate the remainder when 44 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 3*w - 4*b + 4, -2*b = -3*w + 1. Suppose -4*m + 2 = -w*m. What is the second derivative of 2*q - 2*q**5 - 2*q**3 + m*q**3 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -11. Let f = s + -8. Let b(t) = -4*t - 1 - 1 - 2*t. Let q(r) = -4*r - 1. What is f*b(z) + 8*q(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/28)\/((-2775)\/(-55500))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 20*t = 0. Let w(a) = a + 20. Let n be w(0). Solve t = 5*k - 0*k - n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5999847 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 + 130 = 21*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 509920.89 rounded to the nearest one hundred?\nAnswer: 509900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**3 + 3536*q**2 + 35528*q + 56896 = 0 for q.\nAnswer: -8, -2, 1778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104073405.\nAnswer: 3, 5, 17, 408131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -482*o - 6. Let i be 4\/26 + (-1100)\/52 + 7. Is k(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 7 = 17. What is the greatest common divisor of 24 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4537, 18205, 40985, 72877, 113881?\n\"Answer: 4556*b**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*n**2 + 449*n**2 - 35*n**2 + 224*n**2)*(3 - 1 - 1) + 0 + 0 - n**2 + n**2 + 0 + 0 + (2 - 2 + n)*(4*n - 2*n - n).\nAnswer: 609*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 845839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 0)\/(-29 + 32). Let n = -0.2 - 0.1. What is the biggest value in n, g, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 545, -460, -2145, -4516, -7579, -11340?\n\"Answer: -h**3 - 334*h**2 + 4*h + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of f**6\/30 - f**5\/3 + f**4\/2 + 6*f**3 + 11*f**2. Determine k so that t(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 47*t - 65*t - 4 - 10. Let y(b) = 17*b + 12. Let n(h) = 6*i(h) + 7*y(h). Let f(v) be the first derivative of v**3\/3 + 1. Calculate n(f(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 71*g - 355. What are the prime factors of v(-26)?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*d + 91 = -77 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 11:30 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*p**3*s - 3259278*p**3 + 6898*p**2*s + 2*p**2 + 8*p*s - 2*s wrt p.\nAnswer: -12*s - 19555668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*k**5 - 13*k**4\/2 + k**3\/2.\nAnswer: k**3*(2*k - 1)*(11*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3255 = 5*s, -2*q = -4*s - 1263 - 345. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-360)\/300)\/((-2)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -5.5. Which is the fourth biggest value?  (a) 1  (b) 10  (c) w  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 70 in 3, 58714, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.103 + -0.103. Let u = -20 - -20.09. Put z, -1, u in descending order.\nAnswer: z, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*a + j = 225*a - 16, 80 = -5*a - 5*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(13649*d - 7482*d - 17520*d).\nAnswer: -22706*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -25*a**5 + 17*a**3 + 92*a**2. Let f(s) = 8*s**5 - 6*s**3 - 31*s**2. Let g(w) = -17*f(w) - 6*q(w). What is the third derivative of g(i) wrt i?\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/((a*a*a**(-2)*a)\/a))**(-21) assuming a is positive.\nAnswer: a**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 514933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(((-9)\/(-6))\/(-3)). Suppose -3*c + 3*w + 951 = 0, 6 = -l*w + 22. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -10*z**3 + 6*z**2 - 8*z - 4. Let g(b) = -9*b**3 + 5*b**2 - 8*b - 3. What is -6*g(a) + 5*w(a)?\nAnswer: 4*a**3 + 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0944 smaller than 2582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15308841 is divided by 67144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -31 times 0.09\nAnswer: -2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 131361 > 131361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21 and -0.5?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -89496708.8 to the nearest one hundred thousand.\nAnswer: -89500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.12216 and -1499.\nAnswer: -183.11784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -29*b**2 + 76*b. Let d(u) = 19*u**2 - 47*u. Let c(o) = 8*d(o) + 5*n(o). Let a(j) = 2*j**2 + j**2 - 5*j**2. Give a(c(w)).\nAnswer: -98*w**4 - 112*w**3 - 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*z - 77 + 19. Solve 2*f - z*h + 1 = h, 2*f - h + 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 2*i**2 - 7*i - 2. Let j be u(4). Suppose 3*n + 9 = 3*t, 0*t + j = 2*n + 2*t. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -684211.482369 + 13?\nAnswer: -684198.482369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q - 73. Determine m(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -3*o + 39. Suppose -67 = -2*s + 5*k, 2*s - s - 35 = 3*k. Calculate the highest common divisor of o and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((42\/(-15))\/(1518\/345))\/((-1)\/2)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2900\/13*j**2 + 3082\/13*j + 2\/13*j**5 - 86\/13*j**4 + 788\/13*j**3 + 1058\/13 = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, h: 3, w: 5, j: 3}. Give prob of picking 1 j and 1 w.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 579 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 398 greater than or equal to 400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -752*u + 0*u**2 + 373*u - u**2 + 379*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 0*s**2 + 1\/3*s**3 + 0*s + 6. Let v(c) = 2*c**2. What is a(v(x))?\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2387151 is divided by 596783?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -410 by 3.\nAnswer: -410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22370784629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -1911209.\nAnswer: -764483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 3  (c) -0.4  (d) 1\/4  (e) 363\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 + 129. Let w be -1 + 0 + p\/7. Suppose -5*k - w = 6. Sort -2, 1, k in descending order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**2\/9 - 135674*m\/9 - 45224\/3 = 0.\nAnswer: -67836, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100 (base 2) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 117366\/3155*15\/18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29135 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109912 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {u: 1, e: 3, r: 1, p: 2, a: 8, z: 3}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*p + 15*p - 3*p**3 - 13*p**4 + 1 - 4 to the form h*p**2 + u + f*p + s*p**3 + x*p**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 17*a**2 - 81*a + 27. What is the thousands digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4102 = 15*p - 17*p. Suppose i = 5*h - p, 5*h - 4*i - 2071 = -8*i. List the prime factors of h.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01409009 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 311651124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 18624042 divided by 2\nAnswer: 9312021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + (0\/(-1))\/((-17)\/17). Let s = 0.27 - -0.03. What is the closest to 1.4 in 4, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1207311 by -6321.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -62 - -100. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/4)\/(((s*s**22)\/s)\/s) assuming s is positive.\nAnswer: s**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 8*d + 9. Calculate the remainder when y(8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6000 divided by 5?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 104 + -101. Solve -q + m*k - 2 - 15 = 0, 0 = -4*q - 2*k - 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(11) + 2 + (sqrt(1100) + -1 - sqrt(1100)))**2 - 4*(sqrt(1584)*-2)**2.\nAnswer: -25329 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3772\/13 + -290. Let j be (3\/(-4) + 1)\/1. Which is the nearest to j?  (a) t  (b) -4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 0*l - 3*l)*(-3*l + 4*l + l) + 1205 + 187*l**2 - 1205 - 3*l + 3*l - 2*l**2 + (-2*l + 0*l + l)*(3*l + l - 2*l).\nAnswer: 179*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/80 and -33\/56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19 (base 15) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (3 - 7) - (-3 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**4 + 6*u**4 + 0*u**4)*((3 + u - 3)*(-1 - 2 + 2) + 21 - 21 - 22*u + (-3 + 1 + 3)*(-5*u + u + 3*u) - 3*u + 4*u + 0*u).\nAnswer: -92*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.01806 + -10.98194. Which is the second smallest value?  (a) 93  (b) 1\/4  (c) q  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.46233 millilitres in litres?\nAnswer: 0.00046233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -66, -103, -140, -171, -190?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of u**4\/7 + 20*u**3\/21 - 572*u**2\/7 + 160*u + 366. Let k(y) = 0. Calculate y.\nAnswer: -20, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -251.5?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 184 by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) 1\/4  (b) 2\/7  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -811*m - 3126 with respect to m.\nAnswer: -811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s**6\/40 - s**5\/10 + 7*s**2 - 30. Let k(h) be the second derivative of z(h). Factor k(v).\nAnswer: -3*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -608 = -8*v + 168. Let o(a) = a - v + 97. Let i(f) = 27*f. Determine i(o(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -116*k**2 + 16*k.\nAnswer: -4*k*(29*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 257, 249, 239, 227, 213, 197?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006310441711 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + 0.2. Let p = -57\/104 + 12\/13. Let x be ((-92)\/(-20) - 2)*5. What is the smallest value in p, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 600 and 700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 194490203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -184, -193, -216, -259, -328, -429, -568, -751?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 27*u - 210. Let o be z(8). Suppose o*y - 455 - 1867 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.7 - 1. Let n be (-20)\/28 + 2 + -1. Let r = -0.3 + 0.2. Which is the nearest to r?  (a) -0.4  (b) n  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -429*z - 376*z = 8050 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-11))**(8\/7) assuming s is positive.\nAnswer: s**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -4*u**7\/315 + 7*u**6\/30 - 481*u**5\/360 + 35*u**4\/24 - 25*u**3\/36 + 20*u**2. What is y in k(y) = 0?\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269211 is divided by 89723?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/28)\/((-3)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 14 = -5*c. Solve -c*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5649506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -3*q + 3684, 6*x - x = -4*q + 3682. Suppose 3*f = -4*z + 995, 0*z - 5*f = 3*z - x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5712 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}