{"text":"Question: Calculate the greatest common divisor of 156 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dndq when four letters picked without replacement from ndqcqcdq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = 4*t - 8, 626*t = -3*b + 622*t + 2 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-34)\/(-2) + 2552\/(-132). Which is the nearest to o?  (a) -19  (b) -2\/9  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 454*z**3 + 454*z**3 - 1343*z**3 + 454*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - -2. Let k = 22 + 6. Suppose 0 = -5*c + 4*r + k + 25, c - s = r. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*9.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.1 - 2.8. Let q = -0.03 + d. Let u = q + 0.23. Sort u, -2, 2\/7 in ascending order.\nAnswer: -2, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 400 a factor of 45333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 10 + -9 - (9 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2743527?\nAnswer: 3, 113, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 6:25 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*b**2 - 3*b - 340 - 15*b**2 - b**2 - 5 + 10*b**3 + 37 wrt b?\nAnswer: 60*b - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -989922 divided by -5?\nAnswer: 989922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -764, -1, -2, 1, 0 in increasing order.\nAnswer: -764, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -62*u**2 - 3301*u - 13152. Give y(-4).\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-528)\/36*54\/(-99).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from sgkhhsllljhg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 6592*f - 95. What is the units digit of o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 180.93, 5, -3, -4\/5, 7?\nAnswer: 180.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/(20\/4)*(-13)\/(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1692.1 to the nearest ten.\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/122)\/(-3))\/(304\/(-1216))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 235, 2, 31, -5, -3.\nAnswer: -6, -5, -3, 2, 31, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/169 in 20, -0.3, 8\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x. Let m(w) = -23*w**2 - 2*w + 2. Let l(j) = -253*j**2 - 23*j + 23. Let h(q) = 2*l(q) - 23*m(q). Give t(h(b)).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p + 2. Let g be v(0). Let a(z) = 20*z**2 - z - 17*z**g + 7*z**2 - 1 + 3*z**2. Give a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00092677653 to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/((x\/((x*(x**(2\/21)*x)\/x)\/x))\/x*x))\/x*x*x*x*x\/(x*x**(-1\/6)))\/((x**(-1)\/x)\/(x*((x*x**7\/x*x)\/x)\/x*x)))**(-45) assuming x is positive.\nAnswer: x**(-7725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-62)\/(-62))\/(47\/(-329))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1656861*f**2 + 156*f - 316647120 wrt f.\nAnswer: -3313722*f + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 26 = y, 0 = 4*b - y - 3*y - 48. Let u = b + 0. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 2)\/(-3 - 0). Let d = 3\/4663 + 9305\/32641. What is the closest to q in -2\/7, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 7 + 93*v + 10.\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 6*a**2 - 6. Let c be s(6). Suppose -5*o - 401 = 454. Let u be o\/c*4\/6. Solve -l = -2*g - 11, 3*g - 4*l = -2*l - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**4 - 2*x**4 - x**5 + (x**2 - 4*x**2 + 5*x**2)*(2*x**3 + 3*x - 3*x) + (0*x - x**4 + 0*x)*(-15*x - 26*x + 19*x) - 3*x**5 + x**5 + x**5.\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 3*w + 8 - 19, w = 4*v - 13. Solve 2*x - 5 = -3, 8 = 2*d - v*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 0)*(-1 + 2). Let d be (36\/21)\/(4\/14). Let m be 62\/12 + d\/(-36). Solve 24 = -a - l*a + m*t, 3*t = 5*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5, 1345, 11\/175, 2?\nAnswer: 11\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 3*n**2 - 12 + (18 - 18 - 15*n)*(n + 0 + 0) + (-6*n + 4*n + 3*n)*(2*n + 0*n - 4*n) - 5*n**2 + 0*n**2 - 2*n**2 to c*n**2 + m + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4494485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 7. Let x = j - -7. Let p(o) = 8*o**2 + 5*o - 4. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 121589\/14 - 8690. Calculate the common denominator of m and (-721)\/14*(-2)\/(-22).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xrrrxrrxrfprrrrraaf. What is prob of picking 1 p, 2 f, and 1 r?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 44352029 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 374002*p**2*v - 37*p*v - 2*p - v + 179 wrt p.\nAnswer: 748004*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -945 = -17*n + 8*n. What is the highest common factor of n and 7035?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -127, -160, -231, -358, -559, -852, -1255?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32758 - -20658. Round f to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 4*y - 28 = 0, 3*a + 20 = 2*a + 4*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h - 37. Let o be c(-10). Suppose 2*w = 5*g - 698, -o*g + 0*g + 5*w = -434. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3152280 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -19968 from 12708.208402.\nAnswer: 32676.208402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 639 and 165?\nAnswer: 35145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {c: 13, z: 2, v: 1, f: 1}?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 41, 67, 115, 191, 301, 451, 647?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (143*22\/(-715))\/((-10)\/(-75)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -218 - -228. Suppose 11*y + 4*s - 43501 = 8*y, p = -5*s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 (base 10) in base 4?\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - 0 - -10 - (-4 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 7*x**2. Let a(r) = 346*r**2 + 335*r**2 - 952*r**2 + 320*r**2. Calculate a(q(g)).\nAnswer: 2401*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 90 - 90. Suppose -2*k - 2*q + q + 4 = l, 0 = 4*q + 8. Solve 0 = -k*u - 3*i, -i + 4 + 4 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -42*q**3 + 253*q**2 - 42*q + 14. Calculate j(5).\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 580 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 14*z - 27. Let v be k(11). Let j(a) = a + v*a + 4 - 5*a - 6. Let t(x) = -2*x + 2. Calculate 3*j(p) + 4*t(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6619.067162133 and 0.4?\nAnswer: 6618.667162133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1474, 1440, 1406, 1372?\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 7*t**2 - 7*t + 10. Let z be (0 + (-4)\/(-8))*8. Suppose -61 - 28 = -y. Calculate the remainder when y is divided by g(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**2 + 3*p**3 - 4*p**2 + p**2 + 1 in the form n*p**3 + l + m*p + d*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48\/258329 or 1?\nAnswer: 48\/258329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23\/(-7) + 0 + (-1 - -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((250\/25)\/(-450))\/((-32)\/(-80))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 5:40 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u**2 - 16*u + 43. What is h(8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.4222 - 63.13?\nAnswer: -74.5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 0*r**2 - 3*r - 2*r + 4*r**2 - r**2 - 4. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -644*s + 833 + 1503 = 7195 + 8665 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - 279*m**3 + 139*m**3 + 2*m + 142*m**3 + 21*m**2.\nAnswer: 2*m**3 + 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -248 - -266. What is the highest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.721, 2\/7, 1, 901, -1\/6, -3.\nAnswer: -3, -1\/6, 2\/7, 0.721, 1, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-15)\/(-5))*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.00867237 - 17392.11137563. Let p = 17397 + t. Let n = 0.12 + p. Round n to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 170.54874 milliseconds to minutes.\nAnswer: 0.002842479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 AM and 9:36 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/(-14) + 10489\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 4*o**2 - 6*o + 4. Let n be t(-5). Suppose -7*z = -1520 + n. Calculate the greatest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*t - 35 = 0, 2*t - 5 = -v + 2. Suppose -g + 3*o + 307 = 0, -v*g - 1535 = -12*g + 3*o. List the prime factors of g.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.4 - -0.6. Let l = 21 + -20.7. Which is the second smallest value?  (a) q  (b) -0.5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -4*y + 2*y**2 + 3*y + 8*y**2 + 0*y + 1. Let b(o) = 2*o + 9. Let t be b(-7). Let z = -4 - t. Calculate r(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 416991106 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 7:20 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.48 + 0.02. Let g = j - -1.4. Let m = -11.900002 + g. What is m rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -78 - -80. Solve -6*x + 4*x = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 8*n + 560. Let y(l) = l**2 - 2*l + 1. Let q be y(5). What is the greatest common factor of n and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from oonggogggnogogggo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -21, -2\/15 in decreasing order.\nAnswer: -2\/15, -1\/4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 6 = -5*k, 0 = 5*d + 3*k - 5*k - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 93 - 94. Let i(o) = -5*o**2 + 30*o + 1. Let k(z) = z**2 - z + 1. Let b(v) = u*i(v) - 6*k(v). What is the tens digit of b(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280515 = -5*a - 4*w + 105228, 5*a - 385767 = 4*w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 170183, 340344, 510485, 680606, 850707, 1020788, 1190849?\nAnswer: 1360890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2. Let z(s) be the second derivative of -2*s**3\/3 + 5*s. Let t(k) = 2*k. Let j(p) = 5*t(p) + 3*z(p). Determine j(y(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -8. Suppose -3*i - 32*p + 31 = -27*p, -2*p = -3*i - 4. Suppose -3*s = -i*b + 2*s + y, -s - 10 = -b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 718, 720, 722, 724, 726, 728?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -37*k**2. Let w(m) = 345*m - 4. What is w(l(p))?\nAnswer: -12765*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 0.3  (c) -0.0348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 3*w + 6, -3*w + 2 = -d + 8. Solve 7*t - 5*t + 4*m = -28, d = 2*m + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/((-27)\/(-6)*(-2)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 28 + 17*t**2 + 20*t**2 - 28 - t**2 + 3*t - 3*t + (-t - 5*t + 4*t)*(2*t - 1 + 1).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122101 (base 3) to base 9.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mgmwxx. What is prob of sequence xgmm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2 = -0*m. Suppose -m = -3*t + c, 3*t - 2*c - 3 = c. Let i(k) = -k**3 - k**2 - k - 1. What is i(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of 7*q**2 + 0*q - 1\/8*q**4 + 1\/3*q**3 + 0. Let i = 16 + -18. What is f(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -84*j + 72*j + 331884. Let y be ((-6)\/(-16))\/3 - j\/(-56). Calculate the greatest common factor of 76 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -7 - (3 + (0 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 3*a**2 - 6*a. Let d be x(4). Let l be -25*(1 + d\/(-15)). Is 6 a factor of l + -6 + 1 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjzjjzjzgjgzjjgjjjz. Give prob of picking 2 g and 1 j.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 29969688 to the power of 1\/2, to the nearest integer?\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.317 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zdttzzkkxzztzkk. Give prob of sequence kttx.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 207 - 135. Calculate the highest common divisor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 10. Let y(m) = -m - 5. Let d be y(-9). Let f be d\/14 + 4\/(-14). What is the units digit of p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from fmumf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -72, -39, 30, 147, 324?\n\"Answer: 2*q**3 + 6*q**2 + q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -25 + (-2912)\/(-286) - ((-24)\/(-11) + -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 7*k**2 + 4*k + 12. Let m = 36 + -30. Let p be a(m). Suppose q + 855 - 15855 = p. What is q rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/14 + (-1)\/21. Let k(j) = -j**3 - j**2 + j + 2. Let q be k(-2). Let c = -71 - -70. Sort c, q, a in descending order.\nAnswer: q, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-100 - -22) + 62 + 57\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/8)\/(((v*(v\/(v**(-1\/3)*v))\/v*v)\/v*v)\/v*v))\/((v**(-8)*v)\/(v\/((v*v**(-5\/7))\/v))) assuming v is positive.\nAnswer: v**(1261\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -913 (base 13) to base 16\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -356*z. Let o(g) = g**2 + 10*g - 4. Let m(n) = -2*n**2 - 15*n + 6. Let v(i) = 4*m(i) + 6*o(i). Calculate q(v(k)).\nAnswer: 712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1803236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 2*g - 513. Let j(z) be the first derivative of z**2 + 2354. What is j(f(n))?\nAnswer: -2*n**2 + 4*n - 1026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**7\/1680 + r**6\/288 - r**5\/480 - r**4\/48 + 7*r**3\/3 + 3. Let j(u) be the third derivative of y(u). Factor j(b).\nAnswer: -(b - 2)*(b - 1)*(2*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -334  (b) 4  (c) 33  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a + 4*a + 1 + 1 - 16*a in the form w*a + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-6)\/(-8))\/((-69)\/(-184)*2))*-16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -150\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = p + 4, -2*h + 2*p + 8 = 2*h. Suppose -2*v = -4*n + 72, 0*v = 5*n + v - 76. Let z = 6 - 2. Solve h*o - n = -z*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -64 - -90. Calculate the lowest common multiple of 2 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**3 - 671*w**2 - 11835*w - 52893 = 0?\nAnswer: -653, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29421105 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -9*u + 1. Suppose -31 = 5*z - 5*a + 49, -a = 2*z + 26. Let f be 152\/10 + 2\/(-10). Let i = f + z. What is d(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3963810, -3963767, -3963710, -3963633, -3963530, -3963395?\n\"Answer: z**3 + z**2 + 33*z - 3963845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/(-36)*(-24)\/2700*-2?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4469?  (a) -0.5  (b) 0.4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 940 and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7157567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (330\/40)\/(-1 - (-3)\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/120 and (-427)\/(-305)*(-3)\/((-21)\/22)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1114, 367 in descending order.\nAnswer: 367, 1, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*t = -6813 + 833 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 + -20. Let s be o\/6*12\/10. Suppose n + 8 + 0 = 3*m, -s*n + m = -8. Solve n*k + 5*z - 40 = 0, -3*k - 2*z + 3*z = -11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l**3 - 3*l**3 + 3*l**3 + (-8*l + 18*l - 5*l)*(2*l**2 - 1 + 1) as t*l**3 + j*l**2 + s + g*l and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/((-160)\/(-496)))\/((-3)\/5).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1142 and 18?\nAnswer: 10278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence btqq when four letters picked without replacement from {t: 1, k: 1, b: 2, e: 7, q: 6}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 3.2. Let g = -18 - -18.1. Sort -1, q, g in increasing order.\nAnswer: -1, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 342 = -4*t - 0*t + 11*z + 130, 2*t - 17*t - 2*z + 98 = 14*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*h = -5, -6*o + 13*o + 5*h - 3 = 0. Let i(w) = 2*w**3 - 4*w**2 - w - 3. Let d(s) = -s**3 + s**2 + s + 1. Give o*i(p) - 3*d(p).\nAnswer: p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2417249?\nAnswer: 73, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 447080879 + 4?\nAnswer: 447080883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 428784100 rounded to the nearest one million?\nAnswer: 429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**5\/5 + 20442*g**4\/5 - 6948210*g**3 - 279135624*g**2\/5 - 35109423*g + 349047630 = 0.\nAnswer: -5, 2, 3411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 173*p**2. Let i(j) = -5*j**2 - 12. Give i(r(m)).\nAnswer: -149645*m**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 45 in -40, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 712 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**3 + 228*l**2 = 0.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (15\/(-12) + 0)\/(2\/(-40)). Suppose 4*u = -u + i. Suppose -2*t + u*l = -29, t - 5*l - 23 = 2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110 (base 5) in base 4?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from {s: 7, z: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 10 + 10. Suppose -o - s + 26 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -111*n + 23. Let l(d) = d**2 - 21*d + 94. Let a be l(14). Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28053, 0, 1, -75.\nAnswer: -75, 0, 1, 28053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -573 = -193*m + 1698 + 1203 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 3:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1, 42, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11718 = 139*m + 188*m + 231*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 - 6 + 0*x**2 + 3*x**2 + 4*x. Let i be ((-1655)\/(-10))\/((-1)\/2) + 3. Let y = i - -322. Give m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -483410 and -483492 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -11. Suppose u*q - 1052 = -307. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 570441 < 570461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 1832352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -669891328057\/431126479017 + -226\/20135747. Let o = s - -28\/793. Let h = -4448\/657 + 40\/73. What is the common denominator of h and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 11*i**2 + 13*i + 18. Let c be b(-12). Suppose -c*n = -229 - 989. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -748 = -15*f + 92. Let q = f - 53. Suppose 0 = 4*d + 2*w + 26, -d + 3*w = -4*d - 18. Put q, -1, 0, d in descending order.\nAnswer: q, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.0784 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -302, 4\/7 in increasing order.\nAnswer: -302, 4\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 3*o + 2*o)*(-54 - 6*o - 4*o + 12*o)*((-o - 4*o + 3*o)*(1 + 1 - 1) - 2*o + 2*o - 2*o).\nAnswer: -24*o**3 + 648*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 5751720 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u**2 - 3*u - 1. Let p be d(-2). Let v = 10 - p. Sort -1, 5, v, -3 in descending order.\nAnswer: 5, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 3*s - 8. Which is smaller: s or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5714, -3183, -652, 1879?\n\"Answer: 2531*s - 8245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 317618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55 + 59. Let y be -2 + 7 + (-8)\/c. Suppose -y*j - 453 = -3*r, -7*r + 752 = -2*r - 2*j. Calculate the greatest common divisor of r and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*k + 4*x, x = -k - 0*k + 13. Let g be 0 + 0 + (12 - k). Solve -5*j + j = 4*y, j - 3*y = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 512136, 1024347, 1536558, 2048769?\n\"Answer: 512211*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 5*n = -25, -642*d + 638*d = -5*n - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 10.9. Let g be 10\/(-8) - 63\/(-42). What is the nearest to b in 0.3, -0.07, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*sqrt(175))**2 + -4 + (4 + 0 + sqrt(175) + 1)**2.\nAnswer: 70*sqrt(7) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117873 is divided by 3571.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -152 + 157 + 12*m - 11*m. Calculate q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66212065 divided by -5\nAnswer: -13242413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/5 and -266758628 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in 2\/11, 1\/4, -0.73, -0.3?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*m + 222*m - 15*m to f*m + s and give f.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 147 + -141. Let y = 22 + -16. What is the remainder when (-3)\/(-2*y\/92) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182*v = -193*v + 5*b + 312 + 90, -2*v + b + 73 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/30)*a)\/a*a**(-14)*(a\/a**(-3))**(-1\/29) assuming a is positive.\nAnswer: a**(-12329\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -207, -0.68, 55\/3?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 6. Determine r(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(196)\/sqrt(567) + -5)**2 + ((sqrt(336)\/(sqrt(12)*3))\/(1*3*sqrt(4)))**2.\nAnswer: -20*sqrt(7)\/9 + 2060\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2111021120 (base 3) to base 6.\nAnswer: -1015023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 + 28*i**2 - 26*i + 8. Let o be q(13). Solve -3*g - o + 0 = 4*n, 0 = -3*n - 3*g - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5701737 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65 - 57. Let i(t) = -t**3 + 9*t**2 + 3*t - 8. Let f be i(9). Suppose 0 = -z - 4 + f. Calculate the remainder when z is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 130*w**5 + w**4 + 3*w**3 - 48*w**2 + 1. Let s(a) = -a**4 - a**3 - 5*a**2. Let i(r) = -h(r) - 3*s(r). What is the third derivative of i(b) wrt b?\nAnswer: -7800*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10818339 is divided by 611.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7939*n = -t - 7941*n + 12, -4*n = 5*t - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, k: 10, v: 2, t: 4}. Give prob of sequence pkvk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/8 + 5)\/((-1)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppspps. Give prob of sequence psp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 + 9234596*a**2 - 5329855587900*a - 5329864822500.\nAnswer: -4*(a - 1154325)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*w**2 - 2*w + 2*w)*((2 + 1 - 5)*(0*w**3 + w**3 - 2*w**3) - 10*w**3 - 2*w**3 - 6*w**3) + (-7*w - 3*w + w)*(-w + 4*w - 2*w)*(-2*w**3 + 3*w**3 + w**3).\nAnswer: -130*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d + 10. Determine q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and -376520836459.03.\nAnswer: -376520836459.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13298\/(-545)*(2950\/4)\/(-5).\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of i**6\/2340 - i**4\/156 + i**3 - 3. Let q(p) be the third derivative of b(p). Solve q(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2 and 185265588178.\nAnswer: 185265588178.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 150 = 17*n. Suppose 0 = -n*f - 85557608 + 357608. What is f rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**9\/60480 + r**8\/5040 - r**7\/5040 - r**5\/30 + 2*r**2. Let c(o) be the third derivative of d(o). Determine c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 27 = 3*a + 3, -2*i - 2*a + 12 = 0. Let c(w) = 16*w + 8. What is the tens digit of c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c = 19*c - 32. Suppose -5*r = c*b + 8, -2*r - 9 = -b + 2. Let k = -5 + 7. Solve -3*g = -k*g + j, -2*g - 3*j = b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 - -4)*2 + 8. Suppose g*i = -4, -4*z = -3*z + i - 2. Suppose m + m - 29 = 3*l, 0 = z*m - l - 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (430\/1505)\/(6\/21). Let m = 0.61 + 0.09. Let n = m + 2.3. What is the third smallest value in n, 7, w, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 3*h**2 + h + 4. Let d(s) = -3*s**3 - 8*s**2 + 3*s + 11. Let j(w) = 3*d(w) - 8*z(w). Let l(q) = -3*q**3 + 5*q + 8. Determine 6*j(n) - l(n).\nAnswer: -3*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 - -707. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**4\/(t*(t**12*t)\/t)*t\/(t\/(t*t\/((t\/t**(-23))\/t)))*t**(-1)*t)**(-11\/6) assuming t is positive.\nAnswer: t**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qssqg. What is prob of picking 2 s and 2 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1352 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/38?  (a) 1  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -231 in -5, 4, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*i + 57, -5*i + 3*i + 3*m = -30. Suppose 11*g - i*g = -4. Let f(y) = y**2 - 3*y - 1. Give f(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*d - 259 = w, -4 = 4*d. Suppose 392 = 6*l - w. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-86)\/(-5) + (-1)\/5. Let i = m + -14. Suppose i*h = 3 - 0. Solve -u + a + 2 = 3, -5*a = -3*u + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1460)\/876*(-9)\/316*8\/(-15).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 0 - 2) + 90 + (-28 - 79).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28783402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d - 307 + 277 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10\/67237 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*s - 23*s - 85*c + 460, -3*c + 182 = -3*s + c for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -86 - -87. Let q = -0.3 + 0.5. Let x = -0.2 + q. What is the closest to x in o, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 510.64\nAnswer: -1531.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 11:16 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 - -52. Let h(r) = -4 - 10 - r**3 - c*r**2 + 17 + 12*r. Let f be h(-13). Solve -4*z = -5*x + 8, -f - 7 = -5*z - 2*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1.29, -0.1, 1 in increasing order.\nAnswer: -1.29, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 AM and 8:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/(-14)*(-169)\/(59826\/(-826))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.6 - -0.1. What is the closest to 1 in -5, 1\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - h + 9 = 0. Let k be (h - (-5 + 2))*1. Let o = -7 + k. Which is greater: o or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, b: 2, e: 2, i: 8, v: 1}. What is prob of picking 1 b, 1 e, and 2 r?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -506 - -500. Let x(z) = 6*z**2 - 20*z - 132. What is the tens digit of x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3330 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1747 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from mmomoopoommooomoo.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -13*g**2 - g + 1. Let h(c) = 112*c**2 - 1906*c + 1911. Let a(o) = h(o) + 9*t(o). Suppose a(b) = 0. What is b?\nAnswer: -384, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 - 10*b**2 - 8*b + 3. Suppose -3*t - 31 = 3*v + 5, -4*t - 2*v = 42. Let w be z(t). Is (8\/w)\/(8\/(-312)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*v**2 + v - 79*v**3 + 82*v**3 - 3*v to the form b + f*v**3 + x*v**2 + j*v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*s + 5*s + 15, -49 = 3*v + s. Let y be (v - -17)\/(2\/(-4)). What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g + 2*g - 8*g)*(1 - 5 + 2)*(4 + 0 - 5)*(0 - 27 - 13).\nAnswer: 160*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0492 + -9.1108. Let f = 0.34 - m. Let s = f - 9. Sort 1, s, 3\/4 in descending order.\nAnswer: 1, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36031 (base 7) to base 8\nAnswer: -22103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/10526498?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - -68)\/((-12)\/(-16)). Suppose -6*j + 2*j + q = 0. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-6)\/80*3670\/734.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 385*u + 30801. Let i be x(-80). Let q = -1 + 0. Suppose 1 = -2*n - 4*l - l, 0 = -3*n - 3*l - 6. Which is the nearest to 2?  (a) i  (b) q  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3711, 5, 121 in descending order.\nAnswer: 3711, 121, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (3\/27)\/(32\/24)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 2*f**2 - 2*f + 2. What is m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f**3 + 21*f**2 + 48*f + 397. Is j(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + sqrt(156)\/sqrt(108) + -1*sqrt(1053).\nAnswer: -23*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 3702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2895 + -2877. Solve -14 = -2*v + 3*w - 11, 3*v + 3*w + g = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 34, 41, 48, 55, 62?\n\"Answer: 7*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4947394, -4947400, -4947426, -4947484, -4947586?\nAnswer: -4947744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3786317582 to the nearest integer?\nAnswer: 61533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 13  (b) -4\/3  (c) 20  (d) 4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a - 379 + 195 + 197 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79398*c - 1652 = 79370*c for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 51331397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2. Let i be (-30)\/(-70) - 557\/(-7). Suppose s - i = -s. Let h(d) = -2*d**2 - 40*d + s*d. Calculate l(h(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 455 and 24878373?\nAnswer: 870743055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a. Let z(j) = -4*j**2 + 3*j - 1. Let c = 132 - 129. Determine c*y(n) + z(n).\nAnswer: -4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 140*m + m**2 - 2*m**2 + 54*m - 6 + 3*m**2 to the form t*m + u + c*m**2 and give t.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -627065, -627066, -627067, -627068, -627069?\nAnswer: -627070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 8 - 8)*(38*o**2 + 8*o**3 - 38*o**2) + 3*o**4 - 3 + 3 + o + o**4 - o + 6*o**3 - 6*o**3 - 3*o**4.\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2. Let o(g) = -2*g + 34. Give c(o(k)).\nAnswer: 8*k**2 - 272*k + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6583311?\nAnswer: 3, 7, 83, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -153312.9 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -107121*v + 856981. Give j(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2314619.\nAnswer: 2314619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1045 is divided by 150?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - 4*z**2 - 38*z + 165. Let r be d(5). Let s be 18\/(-12)*8\/(-6). Let k be s + (-2)\/(-4)*2. Solve k = 4*q + 5*w, r = -0*q - 2*q - 4*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**2 + 6*d**2 - 176*d**3.\nAnswer: -176*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -2*g + 8, 0 = -3*q + 4*g - 1 - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3193827\/121 + -26395. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*x + 29, 113 = 4*y + y - 2*x. Suppose 4*w = -4*b + 68, -5*w + y = 3*b - 28. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -258*1628552.\nAnswer: -420166416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 - -0.1031378.\nAnswer: -56.8968622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - 11. Suppose j = -c*w + 11, 3*w - w - 8 = 0. Solve 0*a - a = -j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 6, 0*h + 4*h = -2*s - 6. Let a be (h - 1)*1353\/(-6). Suppose 8*f = 6*f + a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 12 + 66 = 0. Let p = 49 + k. Solve d - 5*b - p = -2, -3*b = -3*d + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ocgccoocchccyyccccc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 11 - 16*k + 6.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/378 and 32\/567?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/1488 and -53\/896.\nAnswer: 83328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 587 + 113. Let x(f) = 14*f**2 + f. What is the remainder when c is divided by x(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -42.255 and 0.5.\nAnswer: -21.1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.9 + -1. Let a = -6.1 - b. Sort a, -3, -0.1 in descending order.\nAnswer: -0.1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2687589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 16*s - 25. Let t be k(10). Let a = t + -30. Suppose -a*m = n - 16, -3*m - 2*n = 3*n - 14. Sort 23, m, 1.\nAnswer: 1, m, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 164 + -155. Let c be (153\/(-27) + 5)\/((-3)\/i). Let x be ((-6)\/8)\/(1\/(-16)). Solve -c*f - x = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14948*l**4\/5 + 29892*l**3\/5 - 2988*l**2 - 4*l\/5.\nAnswer: -4*l*(l - 1)**2*(3737*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -13*s**3 - 9*s**2 - 10*s - 60. Does 106 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 18*y + 69. Give x(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2171, -8781, -19797, -35219?\nAnswer: -55047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/2)\/(1\/2). Let b(q) = q**2 - 6*q - 6. Let h be b(7). Let i(a) = 1 - 4 + 8*a - n + h. Let y(d) = -d + 1. Give 2*i(j) + 14*y(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3550 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: What comes next: 1843, 3665, 5487, 7309, 9131, 10953?\nAnswer: 12775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and -0.034.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 15*d - 8. Let v(a) = a**2 - 15*a + 4. Let c be v(15). Suppose -52 = -4*s - 4*t, -25 = -0*s - c*s + 5*t. What are the prime factors of m(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246*f - 724 = -232. Calculate the lowest common multiple of f and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - 4*z - 7. Let a be j(-3). Let w(u) = u + 9. Let x be w(-9). Suppose x = -0*y + 3*y - 462. Calculate the greatest common factor of a and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*(2 - 1)*28. Suppose -i = -6*z + 56. Solve 3*h + k - 10 = 0, 11 + z = -5*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.05 + 0.05. Let l = x + 2.12. What is l rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -103*g**5 + 5*g + 6*g**2 + 3*g**2 - 5*g**3 - 33*g + 53*g**5 - 21*g**5 wrt g.\nAnswer: -4260*g**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 49\/6 of a century?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 4*c - 339 = -5*v, -v + 2*c = -65. Suppose 2*m - v - 5 = 2*l, -5*l = -m + 52. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -152*a - 352*a - 4*a**2 - 49*a - 34*a to j*a + x + s*a**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = 263 - 695. Let d = h + 123. Calculate the highest common factor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -8*i + 29. Let x be ((-2860)\/(-12))\/i*3. Suppose 0 = 4*n - 3*n - 13. Calculate the greatest common factor of x and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 15116  (c) -316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express j**2 - 4*j**2 - 2 - 2*j + j**2 - j**3 + 10*j in the form n*j**3 + l*j**2 + d*j + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 2*w + 1357 = 0, -5*b + 10*w - 2240 = 9*w. Is -450 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.489807 rounded to three dps?\nAnswer: -5.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m - 29*m - 4*q - 20 = -23*m, 25 = 2*m - 5*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(-39)*(17 + -21)\/24*-16\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = f - 236. Let b = f - 22. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 + 37*v**3 - 81*v**3 + v**2 + 47*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 2\/9, -0.4, -53609?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/(-8))\/(12\/(-32)). Let a be (-2)\/(-84)*v\/(-8). Let g = -14.67 - -13.67. What is the second biggest value in g, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 241907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/12 and 81\/6866.\nAnswer: 41196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/4 + 10\/20. Suppose v + 24 = 4*k - 0*v, 0 = -3*k + 3*v + 27. Solve -3*a + k*x = 2*a + 20, c*a - 4*x = -14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (84\/(-30) + 3)*3*5. Let y(o) be the second derivative of 5*o + 0 + 5\/2*o**2 - 7\/6*o**p. What is the derivative of y(u) wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -12 - 2. Suppose 3*c - 10 = 4*h + k, 11 = c - 4*h. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5 = 19. Let x be a\/(-9)*(-69)\/1. Suppose -4*p - 4*u + 6*u + x = 0, -2*p + 5*u = -19. Calculate the highest common factor of 132 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*t + 4*t**4 + 14 - 2 + 2*t**2 - 2*t**4 + 2*t**3 - 13 + 0*t**3 in the form g*t**4 + y*t + w*t**3 + o + h*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.017 * -172713.26.\nAnswer: -2936.12542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4822859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 9:42 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 148417434 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 68*a**3 - 4*a**2 - 25*a + 117. Is n(4) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be 56\/(-98) - (-20)\/84. What is the biggest value in p, -3\/5, -6.23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 3*t**2 - 7*t. Determine b(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1608233 = -86*r + 2576243 - 432726. What are the prime factors of r?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0252 and 2.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k\/k**(-2\/7))\/k*k))**(-5\/6)*(k**16\/k)\/((k*k*k**(-11\/5)*k)\/k) assuming k is positive.\nAnswer: k**(1621\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78816 and 49260.\nAnswer: 394080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s**3 + 2*s**2 + 26*s - 28. Let x be k(1). Factor 2\/3*j**x + 0*j**2 - 1\/3*j**5 + j**3 + 0 + 0*j.\nAnswer: -j**3*(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -73, -65, -37, 23, 127?\n\"Answer: 2*g**3 - 2*g**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000784856 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - -1. Let l(x) be the third derivative of 0*x - 1\/60*x**6 + 0 + 0*x**3 - x**2 + 1\/8*x**d + 0*x**5. What is the second derivative of l(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 - -119. Let o = s + -78. Let j = 0.5 - -3.5. What is the closest to 0.1 in 1, o, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.00124 - -1.99876. Sort -0.062, 3, p in descending order.\nAnswer: 3, p, -0.062","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 73400 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -843, -841, -839, -837, -835?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*n = 125*n - 2240 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-18)*30*3. Find the common denominator of -63\/5 and (-33)\/7*14\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -25  (c) 2\/9  (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rvurrrrussrrrr. What is prob of picking 2 u and 1 v?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44314 - 10142*q - 22156 - 22158.\nAnswer: -10142*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 r, 1 g, and 1 t when four letters picked without replacement from sssggrts?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (36\/15 + -2)*55. Suppose 0 = 3*v + 7 - c. Suppose -z + 2*n = -5, -3*n - 10 = -v*z + 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -o - 4*v, 5*v = 3*o - 4*o + 12. Let n = -29.2 + 28.2. Sort -1\/6, n, o, 4 in decreasing order.\nAnswer: 4, o, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(2 + 2)*0 + 2. Let z(n) = 24*n**3 + 2*n**2 + n - 1. Is z(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -5, 0.4, -2073, -0.5, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -36. Suppose -8*z = -n*z - 84. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of x**8\/8 + x**4\/2 + 19*x. Find the third derivative of k(z) wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + -27.182?\nAnswer: -12.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/1*(95\/(-4))\/5. Suppose -5*a + 67656 = s*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1120.73 - 1176.9. Let b = z - 0.83. Let x = 56.856 + b. Round x to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.5065 - -531.5935. What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 7*t - 6. Let m be s(8). Suppose m*v - 12 = -2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2455*x**6 - 43*x**3 + x**2 - 13551*x + 1?\nAnswer: -294600*x**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g + 3 - g + 11 + 0*g + 1. Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3*a = -105, 4 = -3*o - 4*a - 101. Let g be 3\/(-7) + (-330)\/o. Let i be g\/3 + 8\/4. Solve l + 0*l + 16 = i*v, -16 = -v - 3*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 220553 is divided by 6125.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.2  (b) 1  (c) -0.4  (d) 20\/7  (e) -4347  (f) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 34*k. Let b(m) be the first derivative of 7*m**2\/2 - 171. What is b(p(s))?\nAnswer: 238*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3*w**2 - 12*w + 9. Let o be v(5). Suppose 0 = -17*u + 5*u + o. What is the least common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z + 39. Calculate q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = n - 13, -209 + 131 = 4*n - 6*d for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10321013 (base 4) to base 8.\nAnswer: -47107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4753515562.\nAnswer: 2, 277, 8580353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 939 a factor of 68104533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 - 6*r + 7. Give c(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 44*w - 1. Let o(q) = -6*q**2 - 10*q**2 + 15*q**2. Give g(o(f)).\nAnswer: -44*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 437146 (base 8) to base 11\nAnswer: a0529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 540916 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: Expand ((-4 + 4 + 4*s)*(3 - 2 + 2) + 4 - 4 - 2*s)*(-1 + 1 + 2).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/36)\/((-2)\/8). Suppose v*r = -0*r + 76. Let q = r + -16. What is the highest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 5:29 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.19 - -0.19. Let p = -13 - j. Let x be ((-660)\/16)\/(-33) + (-377)\/260. What is the nearest to 0.1 in x, -3, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, 832\/5, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 (base 9) in base 4?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 + 0.3. What is the second biggest value in -4, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1272670*g**3 - 721011*g**2 - 2*g.\nAnswer: -7636020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 26. Let n be -1*(-4)\/(-6)*t. Solve -n*r + 10 = -9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20945425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3104166 - -37454291\/12. Let a = m - 17015. What is the common denominator of (-394)\/12 - (-1)\/3 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8143743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 463534631 by 1789709.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.5 + 0.3. Suppose 3*i - 9 = 4*i. Let j = i + 4. What is the closest to -2 in q, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4\/3  (b) 22  (c) 0  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -112340330 (base 6) in base 15?\nAnswer: -2b1b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -16\/77 and 97\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 6*y - 195. Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 21*x**2 - 33*x + 33. Let k be o(20). Let t = -235 - k. Do 1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.075 - 0.035. Let c = p + 0.11. Suppose -2*j - 5*y + 3 = 0, 3*j + 3*y - 1 = 2*j. What is the second smallest value in c, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 2092*y**2 + 4178*y - 2088.\nAnswer: 2*(y - 1044)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -69 - -60. Let s be (20\/3)\/(1\/h*-3). Solve -2*o + s = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1e (base 16) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15832 is divided by 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 819796144 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: What is -3265695 divided by -31?\nAnswer: 105345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qwqd when four letters picked without replacement from {d: 1, f: 2, y: 1, w: 2, q: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 8:07 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -428473, -428471, -428469, -428467?\nAnswer: -428465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16162, 16152, 16136, 16114, 16086, 16052?\nAnswer: 16012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2308 - 2340.1303\nAnswer: -32.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a**2 + 6*a - 10. What is the smallest common multiple of c(5) and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 86, -5, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -144 + 124 + -45 - (2 + 4 + -1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/14)\/(n*n*n\/n**(-1\/10)))\/((n\/n**(-12))\/n**(3\/2)) assuming n is positive.\nAnswer: n**(-1037\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*t - 1443 = -5713. Let l be (-633)\/6 + (-6)\/(-12). Let m = l - t. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 3*y**2 + 4*y. Let u be o(-4). Let x be (2 - u) + (13 - 10). Suppose 2*h - 3*h + 22 = 3*p, x*p = -h + 30. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 - 2*n**2 + 2*n**2)*(-n - 4*n + 4*n) + (-n + n - n**4)*(-5 + 2 - 1) - 290*n - 47*n**4 + 290*n.\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*v + 2*l, v - 2*l = -v + 6. Calculate the lowest common multiple of (4\/(-8) - v)*-28 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1053, 4039, 9143, 16365, 25705, 37163?\n\"Answer: 1059*l**2 - 191*l + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + -0.4. Let u = 0.09 + t. Let l = 3.01 + u. Sort 0, l, 4 in decreasing order.\nAnswer: 4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4225345 to the nearest integer?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -128*i. Let z(q) = 7078707*q. Determine x(z(n)).\nAnswer: -906074496*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -968 greater than -968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -590*i + 230028. Determine v(389).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 15*q + 6. Let d be z(-15). Suppose -7*x - d = -6. Suppose x = -3*s + 54 + 93. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6655 - 14785 - 17256 = -1591*z - 4703 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a\/((a\/(a**(2\/15)*a)*a)\/a))*a)\/a**14 assuming a is positive.\nAnswer: a**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/24 and 13\/3140.\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 124544050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 3847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 7. Factor 17*l**5 + 4*l - 8*l**5 - 6*l**s - 24*l**4 + 21*l**3 - 4*l.\nAnswer: 3*l**2*(l - 1)**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60147667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - y + 10618, 0 = 2*t - 2*y + 1966 - 7280. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1038 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 769469483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 2. Let n be s(-5). Suppose -n*k = 1 - 7. Solve 5 = 4*q + 3*i + 2*i, -k*i - 31 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 100177393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12524 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f**3 + 3*f**2 + 5*f - 5. Let u be y(1). Let b(d) = -d - 34. What is b(u)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 285 and -4323.\nAnswer: -4038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 < -38.8446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) 4\/3  (c) -0.06  (d) 2\/9  (e) 26973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2297*b**3*n**5 - b**3*n - 330*b**2*n + 2*n wrt n?\nAnswer: 45940*b**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**3 + 13*y**2 - 3*y + 9. Suppose -4*q - 5 = -5*f, -6*f + 2*f + 4*q = 0. Let j be n(f). Which is smaller: j or -53?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 7 - -6 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308210 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 7 = 1. Suppose 0 = -z*o + 153 + 714. Suppose 0 = -3*j + o + 488. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-85)*1139\/201. Let g(a) = -a + 7. Let d be g(5). Let r(k) = 14*k**3 + 0*k**d - 2*k + k**2 + k. What is r(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fa when two letters picked without replacement from tfaaxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 26*y**2 - 4811*y - 14661. What is z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, -10, -120, -336, -694, -1230, -1980, -2980?\nAnswer: -4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 54*f - 252.\nAnswer: -2*(f - 21)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10132 is divided by 1263?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1707848 is divided by 71.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(162)\/(sqrt(600)*3))\/(1*sqrt(324) - sqrt(324) - sqrt(324) - sqrt(324) - (sqrt(81) + 5*sqrt(81))).\nAnswer: sqrt(3)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(2\/48)*(-30)\/(-40). Let t(w) = -36*w + 53. Is t(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1234, -4939, -11126, -19795, -30946?\nAnswer: -44579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 10:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*x - 2*x**2 + 10*x - 21*x - 4*x**3 in the form p*x**3 + i*x + k + g*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 - 16 - 8*o)*(5*o - 4*o**3 + 354*o**2 - 354*o**2) + 0*o**4 + 6*o**4 + 2*o**4 to the form q*o + t*o**3 + m*o**2 + w + x*o**4 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 7, 1\/7, 1, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p**2 + p. Let o be g(2). Let x(r) = -r**2 - 2*r - 46. Let b be x(0). Let u = o - b. Solve 5*k = 4*i + u, -2*k + k = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + 2\/(-3))\/(4\/72). Let s be b\/3 + -2 - 1*-15. Let v = s - -31. Calculate the smallest common multiple of 1 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(11\/6)\/(334\/1503).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 6. Let t = v + -1. Let z = -0.1 + 0.2. Which is the second biggest value?  (a) -1  (b) t  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -m - 14, -5*m - 9 - 1 = -5*f. Let y(g) = g**2 - g + 3. Let d be y(3). Let q = d - f. Which is bigger: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19547 + -19516. Solve -21 = 5*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -0*l - 4*l, 3*w - 5*l + 19 = 0. Solve -2*b = -4*y + w, 5*b - 2*y = -1 + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72919620 and 685.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.26 + -0.26. What is the closest to h in 0, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000012477 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 111161554 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 150 - 147.38. Let g = -2.4 + h. Let j = 0.264 - g. Round j to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9968?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + sqrt(8))**2 - (sqrt(242) + 1 + -5)) + 4.\nAnswer: -11*sqrt(2) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3101853389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8712632*u**3 - 8079173 wrt u.\nAnswer: 26137896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**3\/2 + f**2 + 6*f. Let j be n(6). What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 306*b + 3643. Give f(-140).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 8*f - 5 + f)*(1 + 0 + 1) + 1 - 2*f - 1.\nAnswer: -16*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 769325 is divided by 3042?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*q - 2*n + 38, -5*q - 5*n = -95. Suppose -q*d - 16 = -23*d. Suppose 0 = -2*v + 2*p + 218, 3*p - 464 + 49 = -d*v. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, s: 9}. Give prob of picking 1 m and 3 s.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*q + 17*q - 6. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13510*u**2 + 6697*u**2 + 2*u**3 + 6813*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdg when three letters picked without replacement from vvdvcpgvggggcvgfddfg.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f. Let b(a) = -209*a. Determine b(x) + 5*s(x).\nAnswer: -199*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 71.2 + -100. Let u = g + 30.8. Which is the fourth smallest value?  (a) -9\/5  (b) u  (c) 1  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74232*n + 74235*n + 74228*n - 222687*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5 + 1. Suppose d*v = v. Let z be (-13 - -9)\/(-2*1). Solve j + z*j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (847\/33)\/77 - (-2441)\/3. Solve -i = 6*w - 850 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105 and 54215.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*v - 92 = -414 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 438*p - 435*p, -n + 7 = -5*p. Sort 1\/4, 3, n, 6 in ascending order.\nAnswer: n, 1\/4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 377*j**2 - 15440*j - 633. Calculate m(41).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1486\/3 - 500. Let o = -16\/3 - i. Let t = -2 - 0. Which is the third smallest value?  (a) o  (b) t  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from qbttbbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110110111110 (base 2) to base 7.\nAnswer: -31125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus 2966?\nAnswer: 2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -251*v + 501*v - 251*v + 4*u, -5*v - 7*u = -40 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 331753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -272387 + 596046. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 69?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -w**6\/120 + 4*w**5\/3 - 143*w**4\/4 - 806*w**2. What is the second derivative of p(f) wrt f?\nAnswer: -6*f + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*c = 43*c + 6. Solve 15 = k - c*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 3*g = 11, 3*i + 12 + 12 = 3*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 - 16 - 4*w**3 + 2*w**2 - w**2 + 13*w**2.\nAnswer: -4*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/240)\/(7\/(-84)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -242 (base 11) in base 12?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2884 + -2883.6. Suppose -3*t + z = 239, 3*t + 258 = 3*z + 15. Let i = 473\/6 + t. Which is the nearest to -4?  (a) i  (b) 0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55\/78 + -1\/26. Let k(g) = g + 2. Let n be k(3). Let o be 2 + 74\/(-26) - -1. Which is the second biggest value?  (a) n  (b) o  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - 15 - 5 - (1 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 0 - 2 + w + 3 - 9*w**2. Let u(v) = -v**3 - v**2 + 7*v + 2. Let l be u(-3). What is t(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16203 + -16112.984. Let y = j - 0.016. Let q = y + -89.37. Round q to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 + 9*v + 7. Let b be t(8). Suppose 0 = 3*q + 2*q + 40. Let h = q + b. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 8*j**2 - 20*j + 10. Let x(b) = -3*b**2 + 7*b - 3. Let p(m) = -4*k(m) - 11*x(m). Suppose -5*h = -4*s - 34, -3*s - 3*h = -8 + 20. Calculate p(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3372 times 1829?\nAnswer: 6167388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f**2 + f - 1. What is p(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**2 + r + 7. Let t(p) = 8*p - 33. Let v be t(5). Let o(n) = -3*n**2 - n - 6. What is v*o(c) + 6*y(c)?\nAnswer: 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 10*y**2 + 20*y + 12. Let z be n(7). Suppose 0*j - 2*j = -2*k + 346, -3*k - z*j + 495 = 0. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**2 + k**2 - 4*k**2. Let a(u) = -2*u**2 - 3*u + 3. Let t(i) = -i**2 - 2*i + 2. Let r(o) = -4*a(o) + 6*t(o). Give v(r(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 less than or equal to -6693\/829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1245.5404 to the nearest ten.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 0*f**2 - f**3)*(-59*f**2 + 16*f**2 - 9*f**2 + 238*f**2 + 171*f**2).\nAnswer: -357*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 29 and -61\/43286 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 30*c**2 + 306*c + 339. Let o(u) = 64*u**2 + 610*u + 681. Let b(m) = -14*o(m) + 30*y(m). Solve b(n) = 0 for n.\nAnswer: -159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17*17\/578*(1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 11*y**5\/10 + 7*y**4\/4 - 6*y. Find the third derivative of b(k) wrt k.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - 89*i + 1375. Give w(26).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*x + 155*x = -458*x - 8235 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 13*z**2 + 14*z + 19. Let q be u(-14). Find the third derivative of q*w**3 - 22*w**3 + 70*w**2 + 11*w**3 + 34*w**3 wrt w.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20356 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -3*m - 43, 983*d - 4*m - 89 = 996*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -16*q + 1. Let t(b) = b. Let u(c) = -68*c. Let f(x) = 51*t(x) + u(x). Calculate m(f(s)).\nAnswer: 272*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.10506 rounded to zero dps?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1 + sqrt(468) + (sqrt(468) - (sqrt(468) + sqrt(468)*-3)) + 3.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 303 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 97\/18 and -89\/824.\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.12 + -0.22. Are -1\/10 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 17*z**2 + 20*z - 30. Let d be g(18). Let o(x) = x**3 - 5*x**2 + 6*x - 1. List the prime factors of o(d).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 0 + 0*y**3 + 1\/6*y**4 - 3*y + 0*y**2. Let t(r) = 4*r**2. What is t(l(m))?\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1155 = m + 3*v + 1116, 12 = -4*m + 2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 2 = -4*i, -4*o - 2*i + 382 = 0. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 19 = -232*o + 236*o, -c + 37 = 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1465340 by -20.\nAnswer: -73267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 - 30. Solve -l*r - 20 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2446447000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 50*w**3 - 8*w**2 + 3*w - 1. Let m be b(1). What is the greatest common divisor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(18))**2 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -90, -71, -50, -27, -2?\n\"Answer: g**2 + 16*g - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -0.1, 28.65, 1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1632720 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*w**2 + 41*w**2 - 18*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**2 + 1759812*b + 26398080 = 0 for b.\nAnswer: -15, 439968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g**5 + 40*g**4 - 215*g**3 - 970*g**2 + 5280*g - 5760 = 0. Calculate g.\nAnswer: -8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*q + 3*q - 4*q)*(-50*q + 45*q + 35*q) - q + q**2 + q to y*q + s*q**2 + n and give s.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 12:09 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 7:43 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l + 124 = 26. Sort 0, -4, l.\nAnswer: l, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -0.23, 0.1, 195 in decreasing order.\nAnswer: 195, 0.1, -0.23, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - z**2 + 2*z - 3. Let v be c(0). Let s(p) = 2*p + 2*p - 3*p + p**3 - 3 + 5*p**2. Give s(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*z = -16*z - 31*z. Solve 3*m + m + 16 = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9019\/56 + 1067\/7. Let r = 361\/40 + k. Let 6\/5*m**2 + 0 - r*m**3 - 4\/5*m = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -13, 0, 43 in decreasing order.\nAnswer: 43, 2, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 5*w - 7. Let d(z) = 5*z**2 - 27*z + 35. Calculate -2*d(x) - 11*h(x).\nAnswer: x**2 - x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 218*v - 4350. Give c(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 333003444659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-12)\/10 - -1). Suppose k*z - 3 = 7. Suppose z*p = 3*p - 23. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 557722?\nAnswer: 2, 11, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18411 - 18368. Solve u*n + 5*m = 41*n - 34, -m - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -15*v**3 + 2*v**2 + 3*v + 1. Let f be j(-1). Suppose f*c = -12*c + 135. What is the remainder when 7 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 6*k + 63. Let x be z(-13). Let p be (-1)\/3 + 8\/(-3). Is (42\/x)\/(p\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -5*c**2 + 5*c - 1. Let w(h) = 6*h**2 - 6*h + 2. Let j = -48 - -45. Calculate j*w(o) - 4*q(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 553355249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 5:48 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25916d46 - -5?\nAnswer: 25916d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4\/54 + 157184\/864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -175381600 to the nearest 100000.\nAnswer: -175400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 55, 64, 83, 118, 175?\n\"Answer: g**3 - g**2 + 5*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**4*o - 5296*g**2*o + g*o - 248495*o with respect to g.\nAnswer: -8*g**3*o - 10592*g*o + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -278 + 286. Determine m, given that 4*m**2 - 3 - 5 + v*m - 4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-5)\/((-125)\/15)*135 is divided by (0\/2)\/(-2) + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and 0.244212.\nAnswer: 0.144212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -335.\nAnswer: 1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -78 - -88. Suppose -4 - 4 = -b. What is the first derivative of -6*s - b*s + t*s - 4 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 0 - 18) + -159 + (195 - 48).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13407 and 15248228?\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/5)\/w**5)\/((w\/w**6)\/(w\/(w*w*w\/(w\/(w*w*w**(1\/13)\/w*w*w*w*w)*w)))) assuming w is positive.\nAnswer: w**(-291\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**3 + 240*s - 1741*s**2 + 1797*s**2 + 288 + 2*s**3 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14076 (base 8) to base 6.\nAnswer: -44422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 93400 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**4\/12 - 3*v**3\/2 - 6*v**2. Let w be a(9). Solve m + 2 - 10 = -3*u, 2*m = u + w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-1)*(0 - 1). What is the common denominator of (-2)\/f + (-200)\/(-36) and 10\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -482.119213 rounded to one dp?\nAnswer: -482.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3dc (base 16) to base 9.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8*-116\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 15*o**2 + 5. Let v be i(-15). Suppose -t + 22 = -0*b + b, 4*b = -2*t + 48. Is 9 a factor of 2*v\/(t\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5815584 by 6.\nAnswer: -969264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (126\/5)\/(-6)*-5*(-10)\/180?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 7:13 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4*3\/(-16))\/((-1)\/4). Let s = -2 - -1.8. Which is the closest to s?  (a) i  (b) 0  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 b, and 1 f when three letters picked without replacement from {q: 9, a: 2, f: 2, h: 3, v: 1, b: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -807 + 796. Let w(o) = 822*o**3 - 7*o**2 - 3*o - 104. Let n be w(i). What is n rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 - 52 - (2 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1038911 = -54*i - 338153. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**3\/3 + 19*o**2\/2 + 12*o + 1. Let n be a(-7). Solve -4*t - 20 = -4*s, 4*t + 6 + n = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*k - 8*k - 258361 = 4*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of t**5\/60 + t**3\/2 + t**2\/2 + 3*t. Let g(m) be the first derivative of p(m). What is the derivative of g(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 11*p**2 - 198*p + 3. Let w be y(18). Sort w, -5, 64, 5 in ascending order.\nAnswer: -5, w, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.9 take away 0.09?\nAnswer: -24.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15017*w = 15040*w. Which is smaller: w or 29\/521?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 109 - 109.3. Suppose 5*p = 4*g - 220, 7 + 3 = -2*g. Is c != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7011 - -47443?\nAnswer: 56454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**2 - 49*j - 236. Give s(-12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4177223?\nAnswer: 17, 245719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 4:26 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -180, -0.09816, -3, 5\/2 in descending order.\nAnswer: 5\/2, -0.09816, -3, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 3:08 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2\/5)\/x**27*(x*x**13*x)**(-3\/8) assuming x is positive.\nAnswer: x**(-1321\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 68264 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-8) - (-1 + 3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 3*t = 2*l - 17, 5*t + 21 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -691.1822787639?\nAnswer: -691.4822787639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*g - 402*g + 3 = -3*t, -4*t = -4*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19004 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/2 - ((-676)\/52 + (-6)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3\/2, -248\/183 in descending order.\nAnswer: -248\/183, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 4*b + 20. Let d be q(-5). Let c = 33 + d. Suppose -283 = -c*z + 277. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -52.5 in 19\/96, -4, 7, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -9. Let l be v\/10*20\/(-8). Let u = 19 + -19. Are l and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.6 - -0.6. Let n(i) = -3 - 5*i + 5*i**3 + 3*i**2 - 2*i**3 - 2*i**3 + 0*i**2. Let q be n(-4). What is the closest to 1 in 0.4, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08542 + -2187?\nAnswer: -2187.08542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k + 74 + 33*k**2 - 8 - 5*k - 32*k**2. Let d(n) = n**2 + 4*n - 12. Let j be d(-6). What is the units digit of t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*-9*3*(-13)\/1287?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(-7) + 22\/77. Solve 5*k = f + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20 + 16 - -5)*-1*6\/(-21). Determine n, given that -b*n**5 + 4*n**2 - 10\/7*n**4 - 18\/7 + 6\/7*n - 4\/7*n**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1484299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 476382460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70721488 divided by -3.\nAnswer: 70721488\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/5)*l)**15\/(l*l**0*l\/l**2) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 minus 5377?\nAnswer: -5378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-1*sqrt(272).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -171 + 168.04. Let x = k - 0.04. Which is the nearest to -1\/2?  (a) -2\/3  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -44*w - 3. Let f be i(-2). Let d = -341\/4 + f. Let v = -1.1 - -1. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/171 and -49\/15222.\nAnswer: 867654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 94*m. Let q(s) = 13099*s. Give z(q(t)).\nAnswer: 1231306*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -4, 5, 2\/7, -0.023?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25148 - 25143. Sort -6, -3\/2, y, -74, -2\/7 in descending order.\nAnswer: y, -2\/7, -3\/2, -6, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -15  (b) -3  (c) -24\/329  (d) -193  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -205*(-3 + 2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 40470194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*x = 3*a + 20, -4*x + 2*a + 40 = 0. Let q be (x\/4)\/(55\/10). Does -1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -10*s + 11. Suppose -k = -3*r - 2, -10 = 8*k - 13*k + 3*r. Let b(v) = -2*v + 2. Let d(u) = k*x(u) - 11*b(u). Let j(l) = -26*l. Determine d(j(y)).\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -93288, -2\/11, 4 in increasing order.\nAnswer: -93288, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0407909921 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 709524.617 to the nearest 100.\nAnswer: 709500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 1  (c) 89  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 716571 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: Let o(q) be the second derivative of -1\/3*q**3 + 0 + 0*q**2 + 22*q. Let x(b) = 4 + 15*b - 17 + 13. What is o(x(i))?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12871761*r**4 - 87486678*r**2.\nAnswer: 308922264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 177890175*n*x + 154367411*n + 1 wrt x.\nAnswer: 177890175*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 1\/3, -44\/31, 4, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-30)\/150 + 9392\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 3654191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 187864307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -977, 1\/17, -2\/9?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52932*x**3 - 414682*x**2 - 70200*x + 64 = 0. What is x?\nAnswer: -1\/6, 4\/4411, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 18*z**2 - 181*z + 8. Let g be u(10). Suppose -5*p = -2 - 8. Sort g, p, 5.\nAnswer: g, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1657*g = -1614*g - 602 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8440)\/(-24) - 4\/6. Calculate the highest common divisor of 65 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 1036.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-665)\/29 - (87 - 110).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000405 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5 = -g, -2*v - 3*g - g = -20. Suppose 8 = -2*d - v*d. Let w(z) = -4*z - z**2 + 1 - 1 - 2 - 3. Give w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1523 times -9?\nAnswer: 13707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29372414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {e: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 2*q - 2*q)*(99 - 300 + 3893*q + 100 + 101).\nAnswer: -3893*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.547543 nanometers to millimeters.\nAnswer: 0.000001547543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -254*l + 7 - 721*l - 7 + 103*l as j*l + w and give j.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s**1*s)*s)**1\/((s**(-1\/4)*s)\/(s**(-2\/3)\/s))*(s*s**(2\/3))**(-44)\/(s**3\/s**4) assuming s is positive.\nAnswer: s**(-295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 403.38 nanoseconds?\nAnswer: 0.00000000011205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 9*z**2 - 23*z + 13. Calculate the remainder when h(10) is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -56701, -56957, -57213?\n\"Answer: -256*k - 56445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -591 by -2.\nAnswer: 591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from lllelllleeeleeeeelll.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2329*x - 2254*x - 139725. What is the highest common divisor of 552 and x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*g + 2*b + 8 = 0, 0 = 2*g - 4*b - 12. Suppose -2*x - 40 = -7*x. Let k = x + -5. Solve 5*j + g*o + 4 = 3*o, k*j + 7 = -4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14\/9*i - 2\/9*i**3 - 2\/3 - 10\/9*i**2 = 0 for i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-3610469.\nAnswer: 108314.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + -1 - -3)*(-62 + 54).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*q - 27*q + 25 = 0, -15 = -5*p - 2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*w**2 + 14*w**2 - 29*w**2 - w - 1 - w**3 to the form r + h*w**3 + o*w**2 + v*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6006, -13690, -23052, -34092, -46810, -61206, -77280?\n\"Answer: -839*c**2 - 5167*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7121 is divided by 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 223310 + 0.\nAnswer: 223310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -4*q**3 + 2119*q**2 - 1634*q + 24865. What is y(529)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**2 - 18*i + 12. Calculate y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 - -1) + -369 + 399.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 - 5. Suppose -j = -p - 0*r - 2*r, r = 5. Let k(d) = -3*d**3 + d**2 + 2. Let g(m) = -4*m**3 + m**2 + 3. Give p*g(w) + 3*k(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -120.14 + 119. Let v = 2.86 - r. Which is the fourth biggest value?  (a) 2  (b) 0.1  (c) -1\/2  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 268 divided by -67\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5  (b) 948  (c) -0.4  (d) 0.4  (e) 234  (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4069 + 16277\/4. Factor g*u**2 - u + 3\/4.\nAnswer: (u - 3)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5614 + c?\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*w - w - 2*w + (2 - 3 - 4)*(2*w + 0*w - 4*w) to q + h*w and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**8\/252 - k**7\/63 + k**6\/60 + k**5\/90 - k**4\/36 - 5*k**2. Suppose g(h) = 0. Calculate h.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3162, 3161, 3160, 3159, 3158?\n\"Answer: -t + 3163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 2:19 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -7*t**5\/50 - 13*t**4\/15 + 8*t**3\/15 + 135*t. Factor h(o).\nAnswer: -2*o*(o + 4)*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v + 62 = -4*m, 3*v - 75 = -3*m. What is the highest common divisor of 54 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from eeeexeeeexxexeeeeee?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/3772 and -5\/5904?\nAnswer: 135792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2 + 2)*(-j**2 - 3*j + 3*j + 0*j + 0*j + 2*j**2 + (j - j + 2*j**2)*(-3 - 2 + 4) + 3*j - 3*j + j**2 - j**2 - j**2 + 0*j**2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6574.989 millimeters in meters?\nAnswer: 6.574989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2.3, 1, 2.7, -40\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*15628.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -14*y + 65. Let q(m) = -3 + 46 - 190*m - 196*m + 565*m - 188*m. Determine 5*i(c) - 8*q(c).\nAnswer: 2*c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -b016 (base 14) in base 16?\nAnswer: -75fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.28 - 0.12. Sort c, 11, 0.4 in ascending order.\nAnswer: c, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -394*s - 229*s + 623*s - 115*s**2.\nAnswer: -115*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-6) + 1 - 114\/(-18). Put 0.06, -3\/4, h, 2\/9, 5 in decreasing order.\nAnswer: h, 5, 2\/9, 0.06, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 7)*(-3464 - 3423 + 6751)*(0*u + u**2 + 0*u) to b*u**2 + d*u + v and give b.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 + 4242 - 12681 + 4242 + 4197.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105*55\/(-2475)*39\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002613 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*q**2 + 88*q**2 - q**3 - 2*q**3 - 179*q**2 + 106.\nAnswer: -3*q**3 - 181*q**2 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2201201102112100 - -22?\nAnswer: 2201201102112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 23  (b) -0.3  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 12:39 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 149290 a multiple of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 2)*(-4 + 35) + (1348 - 1341).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, w: 13, m: 4}. What is prob of sequence mmwm?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - 8 - 5 - 1) + -4 + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -e2e936 (base 16) in base 6?\nAnswer: -1250422250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -160178*s**5\/3 - 50694073*s**4\/3 - 273668366*s**3\/3 - 120662695*s**2\/3 + 1746556*s\/3 - 6220\/3 = 0.\nAnswer: -311, -5, -1\/2, 2\/283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and -3.3.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2. Let p(h) be the first derivative of 826*h + 88. Let g(r) = r + 2. Let k(w) = 413*g(w) - p(w). Calculate k(v(n)).\nAnswer: -413*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b**2*f - 1346*b**2 - b + 2689910*f + 47002 wrt f.\nAnswer: 3*b**2 + 2689910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c*(c\/(c\/(c*c*c\/c**(-13))*c))\/c*c*c**(-34)*(c*c**5)**(1\/21) assuming c is positive.\nAnswer: c**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 - 40. Solve -3*m = -c - 12, 4*c = 5*m - 0*m - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -418, -1673, -3764, -6691, -10454, -15053?\n\"Answer: -418*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 38*p**2 - 74*p + 151. What is the least common multiple of 155 and d(2)?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 5:36 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17a92 - 5283?\nAnswer: -22265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 8*k**3 + k**2 + 4*k + 3. Let w be f(-2). Let o = 69 + w. Suppose -5*d + 94 + 51 = -o*m, 3*m = 0. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - 7*y)*(-4*y**2 + y**2 + 2*y**2) - 3*y**3 + 4*y**3 + 10*y**3 + (-3*y + 3*y + 2*y**2)*(y - 3*y - y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4011)\/42*(1*-1 + 3). Let d = -76 - s. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2916 - 314*x - 2916)*(0 - 2*x**3 + 0) + (x - 2*x + 0*x)*(-3*x**3 + 5*x**3 - 4*x**3).\nAnswer: 630*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24100758*u - 2852 = 24100804*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -5*o**4\/6 - 71*o**3\/3 - 127*o**2\/2 + 560*o\/3 + 250\/3 = 0.\nAnswer: -25, -5, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t. Let f(m) = 314999*m. Determine n(f(l)).\nAnswer: 314999*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (230\/92)\/((-14)\/(-8))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16\/7, 4, -991.\nAnswer: -991, 16\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -292\/383 - 489307\/5745. Let i = 86 + x. Let s = i + 1\/30. Sort 2, 5\/2, s.\nAnswer: s, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 7*c**2 + 7*c - 1. Let h = -2739 - -2744. Calculate g(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -266, -406, -536, -650, -742?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263295385?\nAnswer: 5, 101, 521377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (203*v + 3 - 3 - 119*v)*(1 + 0 - 3) to q*v + l and give q.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p**2 + 84*p - 3441. List the prime factors of h(68).\nAnswer: 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273360 is divided by 28855?\nAnswer: 13665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 less than -24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 0, -3*l - 5*s - 1 = -7. Suppose -25 = 5*c, 7*c - l*c + 19 = -2*x. Solve 7 + x = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**2*y + 96*o**2 + 32*o + y - 63831 with respect to o.\nAnswer: 2*o*y + 192*o + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 139 - 140. Which is the nearest to -0.6?  (a) 0.7  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of d**6\/720 - d**4\/4 + 3*d. Let y(j) be the third derivative of h(j). Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -p - 144. Do -145 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81 - 32*i**2 - 81 to the form a*i + g*i**2 + w and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001176 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 189 divided by 63\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1586380 and 1110466?\nAnswer: 11104660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/12 + (-620)\/(-5208). Sort -1\/2, -7, b.\nAnswer: -7, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 98\/75073?\nAnswer: 98\/75073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 w, and 1 l when four letters picked without replacement from {j: 4, w: 1, q: 4, k: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/285 - 2501\/190. Suppose j = 2*v - 31 + 3, -3*v = -3*j - 36. What is the common denominator of f and 8\/v - 125\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 574837 and 574840 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 + -76 + (11 - -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -666 (base 10) to base 11.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1175, 5473, 12629, 22643, 35515, 51245, 69833?\n\"Answer: 1429*h**2 + 11*h - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19 and 0.2638?\nAnswer: 5.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -932, 147, -5, -166 in decreasing order.\nAnswer: 147, -5, -166, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 4*z - 8. Give v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**5 - 2*a**5 + 0*a**5 + (4 - 4 - 2*a**3)*(-3*a**2 + 3*a**2 + 5*a**2) + 5*a**5 + 2*a**5 - 2*a**5.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 - 141 = 7*q - 280. Solve 36 = -10*w + q*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166985 - 166970 = -15*c. Sort c, -454, 2 in ascending order.\nAnswer: -454, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 - 2*m - 2. Let p be x(-1). Let w(u) = -4*u**2 + 2*u**p - 27 + 12 + 14. Let b(h) = h - 7. Let q be b(6). Give w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a*k**3 + a*k + 7*k**3 + 13*k**2 + 2*k wrt k?\nAnswer: -6*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 3 - 4*w**2 - 1\/4*w**4 - 4*w - 5\/3*w**3. Solve y(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 16*n**2 + 26*n - 22. Let b be r(-14). Factor z - 4*z**2 - 3*z**3 + b*z**2 - z - 8*z**2.\nAnswer: -3*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 13375088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -16*r + 3. Let f be s(9). Let g = -92 - f. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 1:02 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 24 - 6)*(-2 + 1 + 0 + (-2 + 1 + 3)*(-2 - 3 + 3) - 1 - 1 + 0)*((v + 0 + 0)*(1 - 1 + 2) + 4*v - 9 + 9).\nAnswer: 1806*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 24141, 24312, 24481, 24648, 24813?\n\"Answer: -h**2 + 174*h + 23968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -13*f + 24. Let r(t) = 12*t - 23. What is -2*a(n) - 3*r(n)?\nAnswer: -10*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-174)\/(-261))\/((-2)\/(-15)). Put 1, -1, 0, 30, i in decreasing order.\nAnswer: 30, i, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-1))\/(((-30)\/(-60))\/(5\/(-5)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 60909 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -5*s**2 - 5*s - 261. Let w(t) = t**2 + t + 58. Let m(h) = 2*r(h) + 9*w(h). Let z(n) = -7*n**2 - 6*n - 6. Give 4*m(o) - z(o).\nAnswer: 3*o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.6 = -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12156296 and 4504.\nAnswer: 12156296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(6\/11)\/n))\/n*n*n*((n\/(n*n\/(n**(-15)*n)))\/n*n)\/n*n*n*n)**(-20) assuming n is positive.\nAnswer: n**(2320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -1. Let f(z) = 33*z + 22. Let v(p) = 22*a(p) + f(p). Let x(l) = -2*l**2. Calculate x(v(i)).\nAnswer: -2178*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -76 - -71. Let z be -3 + (-4 - d) + 4. Find the second derivative of 13*i**z - i**2 + 29*i**4 - 7*i - 12*i**2 wrt i.\nAnswer: 348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -2 - (-7 + 7 + 4 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4268 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0.2. Let w(l) = l**3 + 4*l**2 + 5*l + 3. Let r(s) = -s**2 - 5*s + 3. Let m be r(-6). Let c be w(m). What is the biggest value in h, 0, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 454 = 4*o + 4*l, -l + 449 = -5*o. Let k = o + 83. Let a be 31\/k + (-8)\/14. Sort -1, 2, -10, a.\nAnswer: -10, a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56808 and 79092?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-118 + 172*w + 118)*(0*w**2 - 2*w**3 + 14 + 2*w**2 - 17) in the form d*w + m + h*w**2 + z*w**3 + i*w**4 and give z.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1815439143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 + 16466204?\nAnswer: 16466232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3144)\/(-5109) + 24\/(-39). Let o = 1\/61 + 115\/427. What is the nearest to 1 in d, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apafpwpfw. What is prob of picking 1 a, 1 p, and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 16629*y**2 + 635151*y - 6044223.\nAnswer: -3*(y - 19)**2*(y + 5581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 563*c**3 - 16*c**2 + 3*c + 403. Is g(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, j: 5}. What is prob of picking 2 x?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -9. Suppose 20 = f*v - 3*v. Let m(j) = j**3 - 3*j**2 - 5*j + 5. What is m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -2251516190771?\nAnswer: -2251516190771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 58 = 3*v + 3*q, 0 = -v - 5*q + 6. Let u(f) = -9*f**2 + 8*f**2 - v*f**2. Let k(n) be the third derivative of n**4\/24 + 2*n**2. Give k(u(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 4*f - 4. Let c be w(2). Let t be c\/4*(-4)\/(-16). Suppose t = -j - 2*j + 3. Which is greater: j or 6\/23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*p + 4*p + 9*p - 2*p + p - 7*p + (2*p - 2*p - p)*(-2 + 1 + 2) - 2*p + p - p + p + 0*p + p to f*p + y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134853?\nAnswer: 3, 79, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -116*b + 249. Let c be u(5). Let y = -328 - c. Suppose 7 = -5*o - 18. Sort y, o, -1.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 - -30. Let u(r) = -4*r + 17. Suppose -2*f = 4*t - 6, 2*t - 14 = -2*f - 0*t. Let c(i) = 2*i - 9. Let y(j) = f*c(j) + 6*u(j). Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3.98 from -719.\nAnswer: -722.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 8:55 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l - 10*l + l**2 + 2*l**2 - 4 + l**3. Calculate the remainder when p(-4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p*p**(-1\/5)*p*p))**(-4\/5) assuming p is positive.\nAnswer: p**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-11)\/(-3) - (-4)\/(-6). What is the first derivative of 3 + 0 - b**3 - b**t - 1 wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 291700853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 44. Let w(k) = k**3 + 7*k**2 - 9*k - 43. Calculate the lowest common multiple of 18\/((-3)\/12*-6) and w(g).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88378617 and 654?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-3 - 136\/(-70)))\/(873\/679).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.29, -14, -4 in ascending order.\nAnswer: -14, -4, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57894876 = 70*r + 87*r - 75562974. What is r rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -26 + 24. Let a be ((-16)\/6)\/(b\/12 - 0). Let v be (17 - a)*(22\/(-46) + 1). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 8 = -0*f. Let j be 7 + (-2)\/1 - (0 - -3). Calculate the greatest common factor of j and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351681529?\nAnswer: 911, 386039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/764491 and 20\/6683131.\nAnswer: 207177061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2139*c + 0 + 1 + 1858*c - 1319*c)*(-5 + 4 + 2).\nAnswer: 2678*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5569060, -11138094, -16707128, -22276162, -27845196, -33414230?\nAnswer: -38983264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 184 and 46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8320 (base 13) to base 6\nAnswer: -215501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2566\/(-288675))\/(-3 + (-10)\/(-3)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*o + 3 - 3)*(7 - 4 - 4)*(-1 + 2 + 2)*(3 - 2 + 5 + 3 + 1 - 2 + (0 + 2 + 0)*(-3 + 5 - 3)) to z + w*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gxgomfpxxgxxoxmmooof. Give prob of picking 1 m, 1 f, 1 g, and 1 p.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 divided by 15889?\nAnswer: 21\/15889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -63330.8?\nAnswer: 6333.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.363 - -7.363. What is the closest to 0.3 in 0, -2\/5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 28 = -4*u + 3*f, 2*u + 12 = -4*f. Suppose -174 - 118 = -u*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 + 53. Suppose 48 = 10*n - w*n. What is the remainder when 55 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wkkhcgc. What is prob of sequence wg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*b - 39*b + 30*b + 2*b**2 + 5*b**2 to the form x + w*b**2 + l*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + b. Suppose -15*n + 11 = 41. Let q(v) = 8*v**3 - 4*v. What is n*q(w) - 8*d(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 11 = -q, -1071 = 5*q + 2*l - 1061. Sort -374, -14, q in descending order.\nAnswer: q, -14, -374","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - b - 3. Let j(n) = -2*n**2 + n + 4. Suppose 0 = -5*s - 283 - 2. Let g = 50 + s. Give g*r(k) - 5*j(k).\nAnswer: 3*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/1975 and 58\/17775?\nAnswer: 17775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 11*f**2. Let h(p) = -8*p - 14. Let i(y) = -10268*y - 16912. Let k(v) = -1208*h(v) + i(v). What is w(k(o))?\nAnswer: 4012976*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-14) + 2\/7)\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8\/12)\/(2\/6). Suppose 0 = -4*t - s*r + 1580, 4*t + 5*r - r - 1588 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*v**3 + 20*v**3 - 8*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*z - 10*z - 14*z**3 - 1 + 2 as a*z**3 + i + j*z**2 + r*z and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1561*p - 925 + 938 + 1562*p + 9*p**2)*(-2*p**3 + p**3 + 3*p**3).\nAnswer: 18*p**5 + 2*p**4 + 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 9, y: 2, o: 4, c: 1}. What is prob of sequence pc?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**5 + o**3 + o**2 - 1. Let f(h) = -2*h**5 - 4*h**4 + 10*h**3 + 2*h**2 - 8*h + 2. Let l(k) = -f(k) - 2*j(k). Let l(c) = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39324 and 11078?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*u = 4*u - 5, -4*y + 4*u = 8. Let a(b) = -6*b - 2. Let s be a(y). Solve o - s = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -56 + 46. Let h(t) = t**2 + 11*t + 15. Let a be h(y). Suppose -2*z + d = -a*z + 416, 528 = 4*z - 4*d. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 6) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 61?  (a) -0.001368  (b) -4  (c) -3  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 26 = 4*v, -2*v + 0*v = -u - 23. Calculate the highest common factor of v and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1428827?\nAnswer: 53, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -461*f + 487*f - 52 = 0. Let i(n) be the first derivative of -1\/6*n**6 - 13 - 25\/4*n**4 - 38\/3*n**3 - 8\/5*n**5 - 8*n - 14*n**f. Factor i(w).\nAnswer: -(w + 1)**2*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 223 = -42. Let x = j - 106. Let p = 75 + x. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 2064?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3084740 >= -3084739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-15)*230\/92*(-11)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 3*j**2 - 26*j + 22. Let o(v) = 2*v**3 - 7*v**2 + 48*v - 43. Let k(f) = -19*b(f) - 10*o(f). Calculate k(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(12\/(-6)) - -2. Which is the closest to d?  (a) 0  (b) -16  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 11:59 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 5*l + 13*l)*((-4*l + l + 0*l)*(-4 - 1 + 0) + 2*l - 4*l - l).\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 4*u - 7. Let t be q(-5). Let d be (1 - 3)*4\/t. Let o(c) be the first derivative of c**2 - 3*c + 1. Calculate o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 624426 and 567660.\nAnswer: 6244260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 20080816 divided by -244888\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000909786 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 13 = -5*y. Let u = 22 + 6. Solve -j + u = y*j + 4*b, 0 = 2*b - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**4\/7 + 88*f**3\/7 - 968*f**2\/7.\nAnswer: -2*f**2*(f - 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**3 - 2*i**3 - 2*i**3 + (i**2 - i**2 - i**2 + (2*i + 0*i - 4*i)*(-3*i + 4*i - 3*i))*(i + 2 - 2) + 10*i**3 - 2*i**3 + 0*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 0.2, 28, -3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.789 - 420.789. Let j = 420.0594 + k. What is j rounded to three dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 3. Let o be v(2). Is o*(-1 - -2) + 1212 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d415 (base 16) in base 14?\nAnswer: -15b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1302271 (base 8) in base 3?\nAnswer: 200101002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**2 + 12*t + 3. Let n be a(6). Solve 25 - 5 = -4*c + 2*z, 3*c + 3*z = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27331 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 4.43, 4, -0.2 in descending order.\nAnswer: 4.43, 4, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 + 30 - 2*s - 13 - 11 as g + q*s and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 9 = -3*t, -2*t = -2*y + t + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43299739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 18866\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(3)*5 - sqrt(21)\/sqrt(63))**2.\nAnswer: 841\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*i - 34*i = -659 - 287 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 866 - 210 = -162*q - 1450 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27309, 54614, 81919, 109224, 136529, 163834?\nAnswer: 191139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 7*l**2 + 37*l + 30. Suppose 7*v + 2 = 8*v. Let c(x) = -15*x**2 - 75*x - 60. Let z(d) = v*c(d) + 5*b(d). Factor z(u).\nAnswer: 5*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z**3 - 9*z**2 + 4*z + 1. Suppose -13*j + 30 = -7*j. Suppose v - 39 = j*f, -5*f - 2*v = -23 + 65. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*r**2 + 11*r**3 + 0 + 14*r**2 - 2 + 2*r**4 to the form n*r + w*r**4 + l*r**3 + u + c*r**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*a - 105 - 5. Let d be ((-3)\/(-2))\/((-1)\/(-2)). Solve -3*g + d*m - a = 2, -20 = -3*g - 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158 divided by 79?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express w + 4*w**3 - 4*w - 2*w + w in the form z*w**3 + y*w + n + v*w**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*j - 3*p + 2*p, 26 = 2*j - 4*p. Suppose 18 = -4*a + 6, -11 = -d + a. Solve 0 = -j*w + w + d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.02 at most 95.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -4*x - 1600, -5*w + 48*x = 47*x - 3937. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -812 by -91260.\nAnswer: 203\/22815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35.3 - 35. Let u = -0.541 + -0.039. Let c = 0.48 + u. Sort -2, -3, c, n.\nAnswer: -3, -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*r + 0*l = -36*r - 2*l - 1, 0 = -36*r - 4*l + 112 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -y - 9, -y + 4 + 2 = -2*u. Let v be (3 - y)\/(3\/4 - 0). Suppose -3*w - v = 4*t, -2*w + 4*t + 32 = 2*w. Solve 4*k + 0 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 883754.9ug to nanograms.\nAnswer: 883754900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1544, -1534, -1508, -1460, -1384, -1274, -1124?\n\"Answer: d**3 + 2*d**2 - 3*d - 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 31*s + 155. Let c be v(-6). Let l(i) = i**2 - 6*i. What is l(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1970, -1970, -1962, -1940, -1898?\n\"Answer: s**3 - 2*s**2 - s - 1968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = -26 + 8. Suppose -2*i + 4 = -3*f, -5*f + 4 = -i - i. Suppose j*k - i = 7. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3260 + 121*d + 40*d**3 - 3*d**4 + 7*d**4 + 760 - 1121*d.\nAnswer: 4*(d - 5)*(d + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 572, 0, 2, 4643 in descending order.\nAnswer: 4643, 572, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - l + 25. Suppose 6*k - 2*k - 4 = 0. Suppose -4*s = 3*f + 4, 0 = -4*f + 3*s - 2*s + k. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**2 + 5*c**2 - 6*c + 12 + c**2 + 10*c**2.\nAnswer: 16*c**2 - 6*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 114 = 162 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28484 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 1117 = -371. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -315\/16 smaller than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**2*j**2*n**2*z + h**2*j*n**2*z + 3*h**2*n - h*n**2*z - 17*j**2*n**2*z + 2*j*n**2*z wrt j.\nAnswer: 4*h**2*n**2*z - 34*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a**2 - 18055 + 18055.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -14474*g + 434232. What is b(30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**2\/2 - 13941*a + 194351481\/2 = 0.\nAnswer: 13941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3885207 divided by 6.\nAnswer: 1295069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425181?\nAnswer: 3, 239, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, r: 5, h: 4, l: 1}. Give prob of picking 1 r, 1 l, and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*i - 12*i - 116*i - 2 + 29*i.\nAnswer: -60*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2114 + 2077. Let p be ((-70)\/(-315))\/(y\/(-12) - 3). Factor 2\/3*z**2 - p + 2\/3*z**3 - 8\/3*z.\nAnswer: 2*(z - 2)*(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3*i = 231. Let w = 112 - i. Calculate the remainder when w is divided by ((-24)\/10)\/(4\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + f + 3 + (2 - 2 + 2*f)*(1 + 0 - 3) + (1 + 1 - 1)*(0 + 2*f + 0) + (-2*f - 2*f + 6*f)*(-1 + 3 + 0) - 4 + 4 - 2*f + 5*f + 0*f + 4*f)*(0*f + 0*f + 2*f).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*n*s**3*v**2 - 13207*n*s**3 + 2*n*s**2*v**2 - 4*n*s**2*v - 22*n*s**2 - 5463*s**2*v - 2*v**2 wrt s?\nAnswer: -48*n*v**2 - 79242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-14)*n*n**(-13)*n**(12\/7)*n\/(n**(1\/10)*n*n)*n assuming n is positive.\nAnswer: n**(-1707\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 2. Suppose -1 = 3*x - 4*r - 22, -4*x = -r - 15. Let w be a(x). Solve z + 2*j + 2 - 3 = 0, 11 = -w*z - 2*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*2*2)\/(((sqrt(66)*2)\/sqrt(6) - sqrt(11)) + sqrt(11) - sqrt(11)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 168\/112*(-1196)\/390\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - (8 - 5)) + (7 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(304)*2*-5 - sqrt(304)) + sqrt(304)*1*1)**2.\nAnswer: -152000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 7:51 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -28 + 50826?\nAnswer: 50787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1777.82 + 1807. Let a = p - 29. Let i = a - 0.18001. Round i to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 1 + 5 + 17*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - 7) + -7 + (14 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -4*q - 9. Let h(j) = -j - 2. Let u(l) = 18*h(l) - 4*n(l). Let o = 44202 + -29159. Let c(d) = -o + 15043 + 9*d**2. Determine u(c(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -79231273*m**5 - 29994180*m wrt m.\nAnswer: -1584625460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -18*y**2. Let v(u) = -8 + 10 - 8*u - 1 - 1. Give v(k(g)).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 45. Suppose 0*a + 4*a - j = 0. Solve -2*c - y = 3*y - 2, c + 2 = -a*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4, -5, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/86 and 5\/263.\nAnswer: 22618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -385346 at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/m**(2\/17)*m)\/m)\/m)**50*m**(-34)*m**(26\/5)*m)**(-3\/25) assuming m is positive.\nAnswer: m**(8589\/2125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61889302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.037469 to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273 is divided by 97?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*o*z + 40296*o - 10255*z + 11 wrt o?\nAnswer: -9*z + 40296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10831757\/4 or -2707938?\nAnswer: -10831757\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(612) + 1 - (5 + sqrt(1088)))*1.\nAnswer: -12*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -154 - -150. Let k be (-1 - -2) + t + (-99)\/(-18). Suppose -5 - 1 = -3*m. Is k at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22804367 divided by 22804367\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**3\/3 - 140*j**2\/3 + 204*j - 156 = 0?\nAnswer: -39, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -3, -2\/9, 7\/114?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + -11. Suppose -2*z = c*f - f + 2, -2*z + f = -13. Solve 3*a + 5*g + 3 = 21, -2*a = z*g - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531*d**2 - 1093*d**2 - d + 564*d**2.\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 + 5 + -27 + (-3 - 29) + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 12. Suppose c = 5*f - 5*m - 210, 2*m + 39 + 3 = f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 99. Let j be 1\/(-17) + (-38)\/g. Factor p + j + 1\/2*p**2.\nAnswer: (p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -6*o**3 + 18*o**2. Let s(h) = 7*h**3 - 18*h**2. Let f(l) = -4*i(l) - 3*s(l). Factor f(k).\nAnswer: 3*k**2*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 1:38 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + 24\/8 + 7. Suppose i + i = 3*v, 0 = -v - 3*i + g. Let u(b) = -b**2 + 2*b + 1. Calculate u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2533510?\nAnswer: 2, 5, 7, 17, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1101 smaller than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*n - 5. Solve -n*q + 9 - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -450, -523, -726, -1125, -1786, -2775, -4158, -6001?\n\"Answer: -11*l**3 + l**2 + l - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 0. Let z be 5 - (u\/(-2) + 1). What is the derivative of 2*m**4 - 1 + 1 + m**z - 1 wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*((-2)\/2 + (-18)\/(-12)). Suppose -i*k + 3*u + 606 = 2*k, -2*u = -k + 154. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3 + 4*k**2 + 26*k**3 - 25*k**3 + 21*k - 16*k**2. What is a(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 961.2 - 962.2. Is p <= 6267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121 (base 3) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26488279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -227*c**5\/20 + 23*c**3\/6 + 169*c. What is the second derivative of i(k) wrt k?\nAnswer: -1362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Suppose -2*a = 6, -3*r - a + 9 = -z*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 679 - 679 - 89*x as o + g*x and give g.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*k + y = 52*k + 34, -k + 4*y = -32. Let q(r) = -r**3 + 9*r**2 - 5*r - 16. Calculate q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**6\/b**(-1\/9)*(b*b**(2\/5))**5)\/((b*b**(-1))\/(b**(-3)\/b))**(-5\/6) assuming b is positive.\nAnswer: b**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {e: 5, n: 6, l: 1, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gag when three letters picked without replacement from gqqqaqqgqqgqqqggq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -48*f + 54*f - 12. Solve k - f - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100, -231, -362?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 245 and 420?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 40 = 2*n, 0*w + 2*w - 12 = n. Let f = n + 47. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 23. Suppose -3*q = 6*q - o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 1\/6*m**4 + 25*m**2 + 0*m**7 + 0*m**6 + 0*m**3 + 0*m**5 + 0*m + 0 - 1\/14*m**8. What is the second derivative of c(b) wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3b97b - 0?\nAnswer: 3b97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 66158932.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/5  (b) 11  (c) 47\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 15*u + 200. Let w be p(-13). Find the second derivative of -19*h**5 + h - 10 - 4*h**5 - 26*h**w - 41 wrt h.\nAnswer: -980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/6)\/((-1)\/(-3)). Let h = 3 - r. Put 2, h, -3 in increasing order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -3*u**2. Let j(w) be the third derivative of -w**4\/12 - 17*w**3\/2 + 402*w**2. Calculate y(j(k)).\nAnswer: -12*k**2 - 612*k - 7803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, n: 6, m: 3, q: 3, z: 1}. What is prob of picking 2 n and 1 q?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(-3*u**3 + 4*u**3 - 3*u**3) + 36*u**2 - 45*u - 35*u**2 + 31*u + u**3.\nAnswer: 5*u**3 + u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-15) + (0 - (-4)\/20). Let z = -2.03 + 0.03. Which is the closest to x?  (a) 3\/4  (b) -0.4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 45. Suppose -4*w + h = 5. Solve -25 = -w*z + 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-11)\/(-22) - (-6)\/4. Let m(w) = w**s - 2*w**2 + 3*w**2 - 3*w**2. Let r(u) = 2*u. What is r(m(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*k + 105 = -398*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**3 + 83*c**2 + 344*c + 348 = 0.\nAnswer: -2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b0 (base 12) to base 5.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + x**5 - 1 + (1 - 3*x**4 - 1)*(-4 + 2*x + 35 + 234 + 153).\nAnswer: -5*x**5 - 1254*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {y: 1, u: 1, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from zzzzzzumwmzuwzmzzzm.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -2*f - f - 3*f + 33, 0 = -f + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 15) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 2*r - 24 = 0, 3*c + 32*r + 36 = 30*r for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 201 = 159. Find the common denominator of 43\/24 and 1*2 + 93\/y*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*a**2 + 10*a**2 - 2*a**4 + 2*a**3 - 4*a**2 + a**4 + 3*a + 11*a**2 in the form b*a + m + x*a**3 + f*a**2 + u*a**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**6\/30 + 7*p**5\/10 - 5431*p**4\/24 - 534*p**2. What is the second derivative of m(y) wrt y?\nAnswer: 24*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/4))**(-16)\/(s**(-1))**(-1))\/(s**(-3\/8)\/s*(s\/(s\/(s\/(s**(2\/3)\/s*s)*s)))\/s*(s\/(s**2*s))\/s**(-1\/4)) assuming s is positive.\nAnswer: s**(-53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -62 + 237. Suppose 34*q + 6 = g*q. Solve -2*z + q = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 - 69 = 2*c. Let s = c + -44. Is -2*(-1942)\/(-8)*s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + (sqrt(3888) - (sqrt(3888) + 0 + sqrt(3888))) + sqrt(3888) + sqrt(3888)) + 2 + 1*sqrt(3888)*2)**2.\nAnswer: 2880*sqrt(3) + 62308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 413  (c) -3\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1945.808 - 1888. What is p rounded to 1 dp?\nAnswer: 57.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10731682 to the nearest integer?\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 2 - 4*z + 7*z)*(3*z + 6*z + 2*z).\nAnswer: 55*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30 - 24. Solve z = -z + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*y**5 - 2*y**4 - 34312*y**3 + 5443231*y**2 wrt y?\nAnswer: -240*y**2 - 48*y - 205872","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Solve 146491 - 155031 = -305*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*v + 42*v + 31*v - 2*v + 5*v**2 - 19*v in the form y*v**2 + z + t*v and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3 - 4*h**2 + 3. Let f(y) = -31*y**2 - 8*y + 16. Let p(n) = 10*n**2 + 3*n - 6. Let g(b) = 3*f(b) + 8*p(b). What is v(g(d))?\nAnswer: -676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 divided by 3?\nAnswer: 283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 406888 and 0.1.\nAnswer: 40688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 + 15*g**2 + g + 7. Let i be h(15). Does 9 divide (13 - 17)\/(-1 + 20\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 230*j - 461. Let g be k(2). What is the closest to 14\/5 in 0.2, -3, -2\/13, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 277886869 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from {t: 5, q: 6, v: 1, u: 1, z: 3, m: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = 3*f. Let l be (61\/f - 3)*2. Calculate the highest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*z - 49 + 32*z - 18*z)*(0*z + 3*z - 2*z).\nAnswer: z**2 - 49*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 655140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + w - 64. Let l = 27 + w. Suppose 3*a = f + l, -3*f - 8 = 3*a - 23. Calculate the highest common factor of 3 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**6\/120 + 403*r**5\/20 - 121605*r**4\/8 - 366025*r**3\/6 - 2*r**2 + 48*r - 4. Solve j(b) = 0.\nAnswer: -1, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 184 + 184. Let k(i) be the second derivative of -i**3\/6 - 2*i. Let l(d) = 4*d. Let s(y) = -18*k(y) - 4*l(y). Determine v(s(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -29022 divided by 67?\nAnswer: -29022\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kcsusssz. What is prob of sequence sc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-8) - 87\/252. Suppose 4*p - 3*p - 5*y = -26, 4*y - 16 = -4*p. Is v greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 820 or 9?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 98300 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-3))\/((-32)\/(-144)). Suppose -y*j = 2 - 56. Calculate the greatest common divisor of 126 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2200 divided by 40.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/18 - (-2964)\/27 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 less than or equal to -12198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5*g + 8 = 0, -4*y - g - 13 = -15. Let r(v) = 18 - 11 - y + 2*v - 9. Let l(t) = -t + 1. Let j = -5 - -8. Determine j*r(k) + 5*l(k).\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 2*k - 11. Let o be z(-5). Let g = o - 27. Let v be (-4000)\/((g - 2)\/(-75)). Round v to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (10 - (42\/14 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*i + 29*i - 34. Suppose 5*y - i*f = 71936 + 13849, 0 = y - 5*f - 17134. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -164023.00071589 + 164023. What is q rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of g**3\/3 + 4*g**2 + 6*g - 84. What is j(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, i: 3, y: 5, m: 6}. Give prob of sequence my.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(245)*-1)**2.\nAnswer: 56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 12, u: 1}. Give prob of sequence us.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 1.159155.\nAnswer: -0.5795775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 5 - -2) + -7 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - 2*f + 0*f**2 - 4*f**2 + 5*f**3 + 6*f**2 to the form m*f + v + h*f**2 + p*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 11*n + 2808. What is c(-48)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/80*-9*((-10)\/(-6))\/(-5)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -83, -78, -83, -104, -147, -218?\n\"Answer: -q**3 + q**2 + 9*q - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -900578 - -2?\nAnswer: -900576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11022202021001 (base 3) to base 8.\nAnswer: 10610216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (244*o**2 + 623 - 623)*(-3*o - 54 + 54).\nAnswer: -732*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 21011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 85145.98nm in kilometers?\nAnswer: 0.00000008514598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -63  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 291029566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(1\/25)\/((a**(-10)*a)\/a*a)*((a*a**(-18)*a)\/a)**15 assuming a is positive.\nAnswer: a**(-6149\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 + 3)*(6*z - z - 3*z) - 2 + 2 - 7*z)*(-22*z + 418*z + 49*z)*(0*z + z - 3*z).\nAnswer: 2670*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 + 0 + 13*o - 14*o - 4 + 6 + 217*o**3. Let r be j(3). Suppose -5*z + z = -r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 1 - 7. What is the units digit of 218\/4 - (-1)\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -n - 5. Let o(y) = y**2 - 15*y - 27. Let u be o(17). Find the third derivative of -4*a**6 + 7*a - 9*a**6 - u*a - 10*a**n wrt a.\nAnswer: -1560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3)\/((-18)\/(-198988)))\/(15 - (-828)\/(-54)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6*r. Let q be 3\/9 + (-253)\/(-33). Let m(z) = -2*z. Let i(t) = q*m(t) - 3*w(t). Let y(h) = 21*h**2. What is i(y(n))?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4030, 8061, 12092, 16123?\nAnswer: 20154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 166618 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 40*t**2. Let d(w) = -w**3 - 35*w**2 - 9*w + 49. Let c be d(-35). Let k(x) = c*x - 179*x - 182*x. What is k(l(n))?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 4:49 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.986731g to micrograms.\nAnswer: 7986731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 108, -97, 6 in descending order.\nAnswer: 108, 6, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-684)\/8 + 2)\/(13\/(-130))?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 94 by -5.\nAnswer: -94\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 424?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + ((-3*(sqrt(84) - sqrt(84)*3))\/sqrt(12) - (-4 + sqrt(7) + 3*sqrt(7) + -5)))*-5)**2.\nAnswer: 700*sqrt(7) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -184, -410, -726, -1132, -1628, -2214?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61)\/(366\/1776)*(-61)\/(-122)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -4*m + 338. Suppose -m*i - 25 = -69*i. Calculate the highest common divisor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12.7 - -13. Sort -0.1, x, 104 in decreasing order.\nAnswer: 104, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + sqrt(187)*-2))\/sqrt(11) - (-2*sqrt(119))\/sqrt(7))*4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 585 is divided by 900\/(-540) + 53\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(12) + sqrt(300)))\/sqrt(6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 12*u - 3*u. Factor -2\/3*a**2 + u - 2\/3*a.\nAnswer: -2*a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/6 and 3*1 - (-1253)\/(-546)*3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -66*g**2 + 20*g - 52. Let x(a) = 33*a**2 - 9*a + 20. Let p(z) = 2*s(z) + 5*x(z). Give p(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 46 = 8*g + 5*o, g = -5*o + 19. Solve -20 = g*v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.275 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59847.9549 + 59851. Let o = 0.0451 - r. Which is the second biggest value?  (a) o  (b) -0.2  (c) 1.9  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 0 + 5 = 0, f + 18 = 3*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 3*a - 3. Find the second derivative of -9*t**3 - t - a*t - 15*t**3 wrt t.\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 38*t**2 + 132*t - 382. Give q(41).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11 + 2\/11*t**2 + 0*t.\nAnswer: 2*(t - 1)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6055592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s + 6, -179*s = 2*c - 178*s - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -2177\/233089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 7*b - 5*c = 11, 0 = -4*b - c + 41. Calculate the least common multiple of b and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 55*c**2 + 417*c - 23. Give n(-7).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 28336671 times -22\nAnswer: -623406762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.85 - -37.85. Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 349 divided by 53\nAnswer: 349\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/7021 and 33\/595.\nAnswer: 35105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -4*t + 3, h - 22 = 4*t. Suppose 0 = 2*q + 3*d - 185, -2*q - h*q + 410 = -2*d. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/17  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 655*f + 22230 = -86*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 191 - 2?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**6*l))\/(l*l\/l**0*l))\/(l**0\/l)**37*((l*l\/l**(-5))\/l**(1\/4))**(-15\/2) assuming l is positive.\nAnswer: l**(-181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8976 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -11*q**2\/5 + 657*q\/5 + 36 = 0.\nAnswer: -3\/11, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4\/17, 10, 2\/5, -0.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4126 is divided by 3987?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -19. Let u = 3\/26 - 19\/52. What is the closest to v in u, 3, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*a - 5*a + 5*a**5 + (-3 - 3 + 5)*(-3*a**5 - a**3 + a**3) + 0*a**5 - 2*a**5 + a**5.\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/15*10)\/(76 + -62))\/(8\/2324)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 4 - 1)*(-3 - 5 + 3) - 2 + 2 + 4 + (4 - 1 - 2)*(-4 + 4 - 2))*(-134989 + 134991 - 3*m + 78*m) to the form b + o*m and give o.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 10*a**4 - a**2)*(-226*a - 61*a - 70*a - 1).\nAnswer: -3570*a**5 - 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -74.5104188 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/15 in 0.071634, 3\/4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 109192397 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2450, -6325, -10200, -14075, -17950?\n\"Answer: -3875*f + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/14)*g**(-1\/52))\/(g**(-6\/11)\/g)**(34\/7) assuming g is positive.\nAnswer: g**(30837\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -1\/5, 5, -4, -1.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 129505 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**3 - 2*t**3 - t + 5*t**2 - 4*t**2 - 1. Suppose -5*x + 4 = -3*x. Let s = x - 1. Let d(g) = -5*g**3 - 6*g**2 + 4*g + 6. Calculate s*d(m) + 6*j(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10564?  (a) 2\/11  (b) 5  (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 36*f**2 + 48*f - 576.\nAnswer: -3*(f - 12)*(f - 4)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {w: 13, h: 5, m: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 240.232 + -240. Let p = i - 0.032. Which is the third smallest value?  (a) -5  (b) p  (c) -4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 855 and 1045.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(((-4424)\/4428 - -1)\/1). Calculate the remainder when 11 is divided by v\/(-189) - (-2)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 48*o + 117.\nAnswer: 3*(o + 3)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 407615 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 50, 184, 408, 722, 1126?\n\"Answer: 45*g**2 - g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/1392 and -23\/108.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7392015\/(-40) - (-12)\/32. Round m to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j + 4*j + 5*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81 - -80. Which is the nearest to n?  (a) 2  (b) -2\/13  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 818, 1635, 2454, 3275?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -8. Let c(i) = -9*i + q + 8*i + 8. What is the tens digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -17666*s + 2. Let m be ((-4)\/(-3))\/(-4)*9. Let w be i(m). Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 - -16 - (-5 - (0 - 3) - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23618.\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 75 - 70. Solve u*o + 12 = d, 3*o = -2*d - 0*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -50?  (a) -0.1  (b) 5\/2  (c) 0.6  (d) -2\/5  (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -13. Let w be 18\/27 - (-8)\/g. Which is the third smallest value?  (a) w  (b) -1\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13080454 + 80580454. Suppose -4*t - h = t. What is t rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -269, -532, -795?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 303?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyxn when four letters picked without replacement from ynnnxnynynyynynnx?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i + 126 = -23*i. Let m be ((-28)\/(-20))\/(i\/(-105)). Solve 10 = m*x - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/(-12))\/((-2)\/(-8)). Suppose -16 = 4*y, -x*c + 8*c - 5*y - 35 = 0. Suppose 15 = 6*g - g. Solve -g = -3*t + t - c*k, -5*k + 21 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1783666366 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r**2 - 4*r**2 + r**2 + (0*r - 4*r + 2*r)*(-1 + r + 1) + 5*r**2 + 4*r**2 - r**2 - 19*r + 19*r - 2*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 27774 (base 8) to base 2\nAnswer: 10111111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/6*4*(-21 - 9). Let l be 10\/(-1)*r\/50. Solve 2*h + 5 = 2*x - h, 0 = -5*x - l*h + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 0*g**2 - 38 - 37\/3*g**3 - 29*g. What is the first derivative of p(h) wrt h?\nAnswer: -74*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*o + 1179 + 9769 = -585*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1681 is divided by 731?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 52 - 10 - 36)*(-10*l**4 + 20*l**4 - 4*l**4).\nAnswer: -594*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 4209 and 7.7.\nAnswer: 4216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m - 14. Let s be a(-17). Let f = -3 + s. Suppose 5*x - 2*z = 12, 5*x + 4*z = -f*z + 36. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - 3\/((-12)\/(-1232)). Let h = w + 308. Which is the third smallest value?  (a) h  (b) -4  (c) -0.5  (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**5 - r**5 + 2*r**5)*(1 + 0 + 1) + (-r**3 - r**3 + r**3 + (-2*r**3 - 2*r**2 + 2*r**2)*(-5 + 1 + 1))*(-3*r**2 + 3*r**2 - 5*r**2).\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -475943 divided by 251?\nAnswer: -475943\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -162940\/120887 - -310\/221. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 5*f - 13, 2*f + 3*b = -b + 2. Solve v + f*c = 20, 5*v - 4*c + 3 = 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -351*u + 53015. Give m(151).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 8 = 8*u. Let q be (-4)\/(-1 - 1) - u. Solve -20 = -4*k, -k = 3*b - q*k + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 7979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -5. Suppose -3*q + 101 = 6*r - k*r, -3*q = -4*r - 61. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**4\/12 - 11*d**3\/6 - 11*d**2\/2 - d. Let t = 66 + -68. Let h(n) = 2*n + 2. Let b(u) = t*x(u) - 11*h(u). Factor b(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/19 - 1120\/(-190). Suppose -4*m = -u*m - 28000. What is m rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -34*k - 11. Is a(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3.3?  (a) 1\/6  (b) 5\/72  (c) 5  (d) -0.4  (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1806918 (base 10) in base 7?\nAnswer: -21233661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/144 and -127\/270.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 640 and 56920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/1771581 and 74\/8857905.\nAnswer: 8857905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126670550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -267 - 14*s + 70*s + 64*s + 322 to the form c*s + l and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 + -2b?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 106 - 106. Solve 11 + j = 11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-192)\/448 + 1957\/4501. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*z + 6. Let s be -1 + (-3)\/6 + z. Which is the closest to -1?  (a) -2  (b) 5\/3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/17, 2, -1.43, -4 in descending order.\nAnswer: 2, 0, -2\/17, -1.43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q + 7. Determine v(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -98\/3?  (a) 0.02  (b) 1\/6  (c) -4.5  (d) 3  (e) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 611.71824 minus -7?\nAnswer: 618.71824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1090*x - 3659*x - 1032*x - 1063*x.\nAnswer: -4664*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from qfpjpjntpjpn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/(-10) - (-9)\/(-15). Suppose -d = -5 - 1. Let x(w) = 4*w + 3. Let c be x(d). Calculate the highest common divisor of c and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: -2c208 (base 13) to base 8\nAnswer: -243570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 5:24 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185*k = -707 - 1328 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -95 - -96. Let h be -2063*(-6)\/6*g. Suppose -2*q + f + 3827 = 0, 2*f - h = -2*q + 1773. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + -1 + -9 - -7) + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*o - 452 + 4*o - 25)*(-2*o + 4*o - 3*o) to the form w*o + t + j*o**2 and give w.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1799579 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -5  (c) 3  (d) -458  (e) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3725874 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-546)\/(-10) - (-10)\/25. Suppose m = -3*p - 5*s - 29, 4*p = -4*s - 112. What is the units digit of p\/(-12)*(4 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50273268?\nAnswer: 2, 3, 47, 89137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4408399 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + v**2 - 10*v + 12. Let w be o(-5). Let r = w + 39. Let u = -2 - -2. Solve -r + u = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 10:34 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 19222, 38594, 57966, 77338?\n\"Answer: 19372*h - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 6*s + 1 + s + 2*s - 4*s. Let k(b) = -11*b - 2. Suppose -4*y + 56 = 80. Calculate y*k(d) - 13*r(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 1. Let b(x) = -2*x**2 - 5*x - 2. Let u(o) = 0 + o**3 + 2*o + 3 - 2*o + 10*o + 11*o**2. Let m be u(-10). What is m*l(f) - b(f)?\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5772 - -3246. Calculate the remainder when i\/(-18) + (-4)\/((-24)\/10) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17\/5?  (a) 362  (b) 0.1  (c) 4  (d) -3\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 7*l - 88. Let b = 18664 + -18662. Solve 5*g + d - 11 = 0, -b*d + l = 5*g - 0*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69874 divided by -4991?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + w + 8 = 0. Let q = 1897 - 1885. Solve -w*j = 12, 0 = -3*d + 5*j - 0*j + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w - 6. Let y(a) = 3*a + 6*a + 34 - 23 - 23. Give 5*d(p) - 2*y(p).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a**2 + 29*a + 8694. List the prime factors of t(-74).\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204 = -18*r + 6*r. What is the highest common divisor of 153 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(425)*5 - sqrt(17)) + 1*sqrt(17)*1.\nAnswer: -3 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 8*u**2 - 5*u - 5. What is b(5)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-11)*y*y\/(y**27*y))\/(y\/(y*(y**(15\/7)\/y)\/y)*y*y**26))**(-35) assuming y is positive.\nAnswer: y**2235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -35 - 19. Suppose 3*b = 6 + o. Suppose -4*c + c - 2 = -2*q, 5*c - 5 = -b*q. Solve 4*m + 3*a - 6 + c = 0, -4*a + 8 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**3\/4 - 147*i**2\/2 - 6975*i\/4 + 1817 = 0.\nAnswer: -23, 1, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1128 - 993. What is the remainder when o is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(132)\/(sqrt(300) - sqrt(300)*3).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 23 = 17. Solve 0 = 4*f + 4*s + x, 2*f + 7*s + 7 = 2*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7136 - 7*d**4 - 2*d**2 + 7136 + d + (-1 + 0 + 5)*(-17*d + 17*d + 2*d**4) in the form k*d + a*d**4 + b*d**3 + c*d**2 + t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 353646486 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9180255 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 331680 and 62640?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 + 7)*(-264)\/660.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9019?\nAnswer: 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 1 - (-24 + 53 + -45)) + 23.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16408 - -16410. Which is the second smallest value?  (a) 1\/2  (b) 5  (c) 2304  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4\/49519 - 1880774\/11736003. What is the common denominator of q and 29\/21?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 222 (base 3) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3, -103, -383, -921, -1801, -3107, -4923?\n\"Answer: -14*m**3 - 3*m**2 + m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 36125*a**2 - 40800*a + 11520 = 0?\nAnswer: 48\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - 6*o + 3. Let h be q(0). Is -4 + h + 3 - -133 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 153 (base 12) to base 16.\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3*t + 1 = 0, -6*b + 3*t - 11 = -8*b. Suppose -4*o - b*o = -496. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 8*q - 26. Solve -4*g + 9*g = q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45890584 is divided by 3829?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -21*((-52)\/28 + 1). Let b be (-4496)\/(-36)*y\/15. Let s = 150 - b. Is s equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 8*f + 7. Let q be d(7). Suppose -a = -q*a - 1450000. What is a rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 45 = -5*c, 3474*c = 3481*c + 3*v + 97 - 34 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(-3*l + 2*l + 4*l)*((-3 + 4 - 3)*(-1 + 2*l + 1) + 5 - l - 5).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14538, 14540, 14542?\nAnswer: 14544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 392\/15 - 481\/20. Find the common denominator of t and -41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*d**3 - 6329247*d - 6329243*d + 12658490*d.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -3*m + 3. Suppose 3*g - 62 = m. Calculate the highest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9266013.\nAnswer: 3, 449, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36008 less than -15501?\nAnswer: -15501.36008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -2*t, 5*t - 9*h = -10*h + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccomlohhhmchjmhoocjh. Give prob of sequence om.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 0. Let f be -3*((-4)\/w)\/1. Let a(v) = -v**3 + 13*v**2 + v - 13. Let j be a(13). Solve 8 = -j*h + f*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 1, -2\/5, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/48)\/((-4)\/126))\/(15\/40)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 6*n**2 - n + 2. Let o be 4 + 0*(1 - 0). Let w be h(o). Let m = -23 - w. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -115.2 + 103. Let i = 3.8 - v. Let j = i + -15.99954. Round j to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2073 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-8 - (25 + -20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -0 - 4. Let a(m) = -3 + 166*m + 1 + 1. Let s be a(y). Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -244 - -248. Suppose -4*t = -2*g - 10, 21*g - 14 = -d*t + 19*g. Solve t*m + 23 = 4*z, -4*m + 8 = -2*m + 2*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 409 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sguoj. What is prob of picking 1 s, 1 g, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 841532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 9*p - 664. Let o = 82 - p. Let i(q) = -2*q**3 + q**3 + 1 + o*q**2 - 167*q**2 + q. What is i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -c**3\/2 - c**2\/2 - 3*c. Suppose -4 = -4*x - 12. Let r be g(x). Let m(w) = w**3 - 6*w**2 + 5*w + 2. What is m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -186, -308, -284, -42, 490?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53720.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2208)\/(-691127) + (-2)\/151\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5040\/(-840) - ((-4)\/(-6) - (-5012)\/42)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -10 + (1 + 0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 37 + -9?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*4*(sqrt(1216) + 1 + -1) + (sqrt(1368) + sqrt(1368)*1)\/(sqrt(2) - (-2*sqrt(14))\/sqrt(7)).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i + 11925*p - 11929*p + 16, -p = -3*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 15. Let u(i) = 2*i**3 + 17*i**2 + 7*i. Let s be u(j). Solve s = -m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 0.18  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1150*w - 1146*w + 44*w**2 + 229 + 17*w**2 - 8*w**4 + 2296*w wrt w.\nAnswer: -32*w**3 + 122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49 - 30. Suppose -4 = 5*k - i. Let t(z) = z + 7. Let p be t(-4). Solve p*r + 0*r = -4*d + 5, -15 = k*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242879 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -50*a - 231. What is the remainder when 851 is divided by q(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -2*a - n, 335*a - 2*n = 340*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8384 by 4.\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + y**2 - y. Let a(q) = q**3 - 2*q**2 + 2*q. Let x(p) = -a(p) - 2*i(p). Let n be x(2). Solve 6*h - 13 = 2*k + h, -2*h = 2*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f + 672 = f. What is the tens digit of -4 - -3 - f*28\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(sqrt(75) - sqrt(75)*3 - sqrt(75)))**2 + 2 + (3*(-4 + -1*sqrt(405)))**2.\nAnswer: 648*sqrt(5) + 170596\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -318*j + 316*j - 3*h - 29, 0 = -5*j + 27*h + 307 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 8*c + 66. Let j be g(-8). Solve j*s = s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**8)**(-9)*l**(-15\/2)*l*(l**(3\/4)\/l)\/l assuming l is positive.\nAnswer: l**(-319\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.307521 kilometers in micrometers?\nAnswer: 4307521000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 2*k**2 - 9*k. Let o be a(-6). Let s = 0 - o. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 450 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: What is the lowest common multiple of 2824960 and 112?\nAnswer: 19774720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 0.31295475.\nAnswer: -0.156477375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18729506*r**3 + 3695897*r**2 - r.\nAnswer: -112377036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*s - 368 - 289 = -574 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 3*m**2 - m. Let t = -5 + 10. Suppose 2*d + 2 = y - 3*d, -t*y + 10 = -d. What are the prime factors of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**2*x**3 - 2354*m**2*x**2 - 8*m*x**3 - 17*m*x**2 - 5*x**3 wrt m?\nAnswer: -4*x**3 - 4708*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3\/4, 6, 0.11, 1\/3, 15.2 in ascending order.\nAnswer: 0.11, 1\/3, 3\/4, 1, 6, 15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 10*l**2 + 3*l + 6. Let x(w) = -w**3 + w**2. Let k(a) = o(a) + 4*x(a). Let k(h) = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -13*a + 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + 26.5. Let r = 0.2 + -0.3. Let t = r - 1.9. Which is the closest to t?  (a) -0.4  (b) v  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1529084765 to the nearest integer?\nAnswer: 39104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 2. Suppose t*v = 0, 4*w - 235 = 4*v - 83. Suppose c = -c + w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(10\/((-2)\/(-2))))\/(95\/4275*-132)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of s**2\/2 + 19*s + 48. Let a(y) = -2*y. Calculate a(r(h)).\nAnswer: -2*h - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 68.86248 millennia?\nAnswer: 6886.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 21, -358541 in decreasing order.\nAnswer: 21, 3, -358541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4427587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1379 and 97120212.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3704.5 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41715*a + 83390*a - 42*a**2 - 41714*a)*(a + 3*a - 5*a) as i + l*a**3 + b*a + r*a**2 and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25\/4*a**4 - 21\/4*a**3 - 9\/4*a**5 + 1\/2*a + 3\/4*a**2 + 0.\nAnswer: -a*(a - 1)**3*(9*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -7746  (b) -0.3  (c) -3  (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 8) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 14*k**2 + 4*k - 5. Is c(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26281.9 meters to millimeters.\nAnswer: 26281900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 11, 2, 1, -1, 5 in decreasing order.\nAnswer: 11, 5, 2, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 53, 97, 163, 257, 385, 553?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 + 57439*r + 861810.\nAnswer: -(r - 57454)*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -5\/24*z**4 + 0*z + 0 + 1\/6*z**3 - 3*z**2. Suppose 0 = -2*a + 1 + 1. Give o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -173477351, -346954702, -520432053?\n\"Answer: -173477351*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*2*sqrt(119) + sqrt(119)*-1*-5 + sqrt(119))*2)\/((1*sqrt(21)\/sqrt(3) + (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(63)))*-3)*6).\nAnswer: 2*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(7200) + 1 - sqrt(7200) - sqrt(7200)) - (sqrt(7200) + sqrt(7200)*2 + 5 + sqrt(7200)))**2.\nAnswer: 583200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9693214*d**2*w**4 - 4*d**2*w + 4414*d*w - w**4 + 87*w wrt w.\nAnswer: -116318568*d**2*w**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/(-504) - 68\/(-2720)*(-5)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 5*j + 8. Suppose -f = 4*f + h - 9, -5*f + 14 = -4*h. Suppose 13*q + 5*d = 16*q + 4, f*q + 2 = 4*d. Sort -49, q, j in decreasing order.\nAnswer: j, q, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30 and 7801.586.\nAnswer: 234047.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l - 99. Suppose 3*p + 3 = -0, -k - 2*p = 2. Let x be n(k). Let q = 181 + x. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/88 and 270874\/(-152304) + (-14)\/(-8).\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4 = 0, 10*l - 6*l - 28 = -4*x. What are the prime factors of (136\/(-51))\/(l\/(-2241))?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -52, -55, -58, -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/41, -112.17, 5, 10, 1\/9 in decreasing order.\nAnswer: 10, 5, 1\/9, -2\/41, -112.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b + 2 = 4*r + 21*b, 2*r - 6 = -2*b. What is the remainder when 693 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8982 by 3.\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5049*g - 5049*g - 24*g**3.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**15*a*a**(2\/29))\/(a\/(a*(a**(-3\/2)\/a)\/a))**35 assuming a is positive.\nAnswer: a**(-6115\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04493 rounded to four decimal places?\nAnswer: 0.0449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-6) - (-21)\/14)\/(159\/3339).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - -2. Let y(d) = d - 19. Let c(k) = 2*k - 56. Let b(f) = -6*c(f) + 17*y(f). What are the prime factors of b(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110122221201 - 11?\nAnswer: 110122221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(2\/3)*d*d)**(1\/22)*(d\/(d\/(d*d**(-9)*d)))\/d**1 assuming d is positive.\nAnswer: d**(-521\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*f = -121*f - 231 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 11*n**3 - 34*n**2 + 155*n - 442. Determine t(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2867996 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 10:46 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*j + 30 = -33*j. Suppose -j*r + 11*r - 66 = 0. Calculate the remainder when r is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b + 6. Let q(r) = 2*r - 17. What is -17*j(p) - 6*q(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -210440230 + 31?\nAnswer: -210440144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 554, 2321, 5268, 9395?\nAnswer: 14702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o - 102. Let s(k) = -2*k - 203. What is 9*l(h) - 4*s(h)?\nAnswer: -h - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2 + 2. Let m(t) = 4*t**2 + t - 6. Calculate 2*m(l) + 5*u(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*y - 13*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298914778?\nAnswer: 2, 149457389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - ((-10)\/(-2) + -4). What is the units digit of (j - (-6 - -1)) + 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n + 2*n - 5*n - n + 6 in the form j*n + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*f + 37 - 3 = 2*x - 6 - 30, 4*x - 4*f = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 366664275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6.23712 - 5.8671211. Let t = z - 0.37. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2\/3 + 5950070*y\/3 - 5950072\/3 = 0. What is y?\nAnswer: -2975036, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288 + -11 + 90\/5 is divided by 135.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.2 and -8095175.\nAnswer: 9714210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6919052*n**3 - 8001023.\nAnswer: -20757156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = t + 1. Let w be (0\/2)\/(t\/8). Suppose w = 7*v - 6*v - 16. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 50 + -15 - -10 - 1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in -4\/13, 63\/2, -6, -4, -5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Work out -2.985453 - 15812.\nAnswer: -15814.985453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 4. Let s(p) = -3*p**2 + 49*p + 65. Let n be s(16). Suppose 15*c + n = 111. Solve w*z + 10 = -c*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 77960 and 6680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 8, r: 2}. What is prob of picking 4 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 26*s**2 + 165*s - 23. Does 12 divide k(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/57)\/(l*l\/(l*l*l**(-3\/16))) assuming l is positive.\nAnswer: l**(-203\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15734 greater than or equal to 15734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111010001111001101 (base 2) to base 14.\nAnswer: -62d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b**2 - 5*b + 16. Let m = -2147 + 2144. Give o(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 262669902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 0.043.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*v + 10, -5*i + 4*v = -10. Suppose -3 - 5 = -4*c. Let h be 11 + -3 + i + (c - 0). Sort -2, 1, 0, h in decreasing order.\nAnswer: h, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*a - 4 + 93*a + 94*a.\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 16. Suppose -18 = -4*a - f, -12 = -x*a + 2*f + 2*f. Suppose -2*r = -3*c - 15 - 4, a*c = 3*r - 29. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10882402?\nAnswer: 2, 19, 73, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + b + 2)*(-2*b + 2*b - b + (2*b + b - b)*(0 - 1 + 3)) - 13*b**2 + 2*b**2 - 2*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -k**5\/60 - 7*k**3\/3 + k**2 - 2*k - 18. Let b(q) be the second derivative of v(q). Let h(m) = 58*m. Give h(b(u)).\nAnswer: -116*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 - 54. Let p be (6\/(-5))\/((-4)\/10). Suppose 2 = l - p. Calculate the remainder when b is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/6413720 or 1?\nAnswer: 1\/6413720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2649467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -17.5  (c) -2383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -28, -98, -220, -400, -644?\n\"Answer: -z**3 - 20*z**2 - 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of x**4\/8 - x**3\/2 + x**2 - 32*x. Let b(q) be the second derivative of 3*q**3\/2 - 4*q**2 - q. Calculate -3*b(h) + 8*d(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79838 is divided by 1079?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2151478 and 328.\nAnswer: 352842392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gp when two letters picked without replacement from gpyytpygytgykyykyyt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84029 is divided by 180.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 247 (base 11) to base 16.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 20543  (b) -4  (c) -413\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) -1  (c) -2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(1700) + sqrt(1700) + -3) + (sqrt(1700) + 0 + sqrt(1700))*1)*2*1 + 5)**2.\nAnswer: -7600*sqrt(17) + 680361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*d**3 + 0 - 2\/5*d**2 + 2\/5*d**4 - 2\/5*d.\nAnswer: 2*d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3489 + -3530. Let b(c) = -c**2 - 46*c - 204. Determine b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*j + 4 = 0. Suppose 5 = -j*n + 41. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21966811*n**5 - 15544*n**2 + 5017 wrt n?\nAnswer: -1318008660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2 + 4*k + 2. Let n(f) = f**3 + 5*f**2 - 5*f + 2. Let l be n(-6). Let m be u(l). Solve 3*c = p - 2 - 6, -3*c + 3*p - m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 3*r**5\/5 + 7*r**2\/2 + 10. Find the second derivative of j(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22112 and 17275?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1161*w**3 + 235*w**3 + 218*w**3 + 227*w**3 + 236*w**3 + 217*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81\/(-1944)*54)\/((-6)\/88).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76\/29 - -692\/87. Factor -f*v**2 + 16\/3 + 4\/3*v**3 - 4\/3*v.\nAnswer: 4*(v - 4)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 144 = -4*b, 16 = 2*b - 3*s - 56. What is the greatest common factor of 21 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025 a factor of 24340639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3587959 to the power of 1\/2, to the nearest integer?\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**3\/4 - 11575*i**2 - 46305*i\/4 = 0. What is i?\nAnswer: -1, 0, 9261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccy when four letters picked without replacement from cccccyyycwy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*l**2 + 783*l**2 + 82*l**2 - 41*l**3 + 248*l**3.\nAnswer: 207*l**3 + 961*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -107.6 + 108. Which is the nearest to -0.2?  (a) f  (b) 4  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 1607322*u. Let h(f) = -f - 43. Give h(b(x)).\nAnswer: -1607322*x - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 32 = -2*q, -165*q = -168*q - 3 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + -1*sqrt(65)*2)\/(5*sqrt(40)\/sqrt(8)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/45 and 199\/18690?\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119, -134, -143, -146, -143, -134?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 6*q - 44. Solve -2 = 5*x + 3, -q = 3*n + 5*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/4)\/((-9)\/(-60)). Let u(a) = -2*a**3 - 12*a**2 - 3*a + 9. Is u(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78208.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1375793707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45360 - 333417 = 5666*b + 41778 + 49723 for b.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1592 divided by 4.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/18 and 95\/218106?\nAnswer: 218106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 208663b (base 12) to base 16\nAnswer: 5dd40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 455175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 4:34 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -f + 174, 3*m + 321*f - 324*f = 108. Let y = -111 - -214. What is the remainder when y is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 87528 and 21504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/42)\/(95\/((-1002820)\/174)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 88*c**2 + 674*c - 1. Give b(8).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*s + 29, 0 = -3*u - 2*s + 7*s + 10. Solve 0*z - 5*z + u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13145.\nAnswer: 5, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -586 + 590, g - 33 = -4*g - 2*a for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6744420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2070816914 to the nearest integer?\nAnswer: 45506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 7*v**2 + 78*v - 31. Is o(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, 9, 1 in ascending order.\nAnswer: -9, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 7*x**2 - 6*x - 1. Let w = 17 - 14. Let o be (-4)\/8*(w - (0 + -7)). Determine b(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, -4, 2, -51, 5 in descending order.\nAnswer: 73, 5, 2, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15089478 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s + 1. Let i(j) = -5*j - 6. Let b(k) = -6*f(k) - i(k). Let w(x) be the second derivative of 5*x**3\/6 - 15*x + 1. Calculate b(w(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 249120632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-24)\/56 - (-2319)\/21 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3776ab7 (base 12) to base 14.\nAnswer: -1628831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y. Let u(j) = -2*j. Let z(q) = -4*g(q) - u(q). Let c(l) be the first derivative of 125*l**2\/2 - 4. What is z(c(r))?\nAnswer: -250*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-24))\/((-1)\/2). Which is the second smallest value?  (a) 0  (b) -2\/35  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -262233, -262264, -262345, -262500, -262753, -263128, -263649, -264340?\n\"Answer: -4*f**3 - f**2 - 262228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1313100 + 1?\nAnswer: -1313033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65416053.\nAnswer: 3, 67, 325453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 175  (c) 2\/3  (d) 0.05  (e) -5  (f) 2  (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4197.03 - 4154. Let r = w + -43. Which is the nearest to -0.1?  (a) r  (b) -0.2  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -7, 11\/247, -4\/7, -6\/23 in increasing order.\nAnswer: -7, -4\/7, -6\/23, -0.04, 11\/247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -531\/4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 43*n**3 + 80*n**2 + 5*n. Let o(s) = 3*s**3 + 6*s**2. Let p(m) = -15*o(m) + r(m). Let y(u) = -4*u**2 - u + 2*u**2 + 3*u**2. What is -p(f) - 5*y(f)?\nAnswer: 2*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3\/9 + 2*i**2\/9 - 22*i\/3 + 14 = 0. What is i?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 0 + 16*d + 1 - 15*d. Let h(m) = -m. Let s(b) = 2*b + 3. Let x(n) = -4*h(n) + s(n). What is 3*j(y) - x(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 60, 115, 192?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2140739 * 35.\nAnswer: -74925865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*1\/3*(-439)\/(61460\/26040)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 21461 times -54\nAnswer: -1158894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (330\/(-21) + 18)\/(-5*(-9)\/(-315)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -148 - -451. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 6*k**2 + 2*k + 2. Let i be x(5). What is the tens digit of (2 - 3)*(6 - i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31320463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2055*s = 2071*s + 144 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*y = v - 53, 3*y + 24*v - 16*v - 142 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 100 + -92. Let a = 58 + -27. What is the remainder when a is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*a**3 + 6*a**2 + 0 + 1 - 22*a**3 to the form i*a**2 + f + k*a**3 + r*a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -9\/20*g**5 - 2*g + g**4 + 0 - 2\/3*g**3 + 0*g**2. Solve l(a) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -232 + 398. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 1. Let n be p(-4). Suppose -9 = -g + n*o, 2*g + 17 = 5*g - 4*o. What is the remainder when 11 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d - 10*d + 0*d**2 + d**2.\nAnswer: d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {i: 4, b: 2, l: 1, y: 10, q: 1}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z + 1. Let u(q) = -8*q + 2. Let a(w) = u(w) - 4*v(w). Let x be a(-1). Suppose -c - x*c + 483 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 3633233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = y + 2. Suppose -1 = -5*p + 14. Suppose -p*q + 1 + y = 0. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 3:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3562 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1976 in -0.2, 0, 508, -1, 16\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 - 6. Let p be (0 + -1)\/(19\/(-57)). Suppose -p*d = -3*g, 5*g - 2*d - 20 = -8. Calculate the highest common factor of g and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xwx. Give prob of sequence wxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 15922 = -2*n, -59*j + 19870 = -54*j + 4*n. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pggu when four letters picked without replacement from gktprgutugrttkg?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*u - 97 - 991 = 0. Calculate the remainder when 35 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 71*s**2 + 1414*s - 121. What is z(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197551.\nAnswer: 197551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -495 - 2001 = -16*p. Calculate the common denominator of 31\/18 and (4 - -6) + -5 + p\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1105 and 11500255?\nAnswer: 195504335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3942994863.\nAnswer: 3, 3989, 329489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 28, 10 in descending order.\nAnswer: 28, 27, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*s + 5*o - 29, 82 = 4*s - o. Suppose -k = -t + 4, 0*t = 5*t + k - s. Solve -3*n + t = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -2 - (4 - -8 - 7) - -14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 643, 1155, 1645, 2101, 2511, 2863, 3145, 3345?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22.447 + -2.553. Which is the biggest value?  (a) 12  (b) w  (c) 2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -17*h + 12. Let v(g) = 2*g. Let j(n) = v(n) - w(n). Is 12 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 24*s + 26. Let r be i(23). Suppose 0 = -2*z - r*p + 11161, z - p = 2722 + 2856. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*r - 16 = 47*r. Let z(b) = -b**3 - 5*b**2 - b - 1. Let p be z(-5). Suppose -r*o + 116 = -p*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {c: 1, z: 1, y: 5, r: 1, h: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 6.4384?\nAnswer: 32.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s - 1. Let r(m) = m**2 - 4*m - 4*m + 4*m + 3*m. Determine o(w) + 2*r(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-14) - 125\/70)\/((-210)\/3500). Solve -z*n + 200 = 25 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -4*b + 3*r + 25, -b = -2*r - 10. Suppose -b*u = -12, -3*i + 1117 + 3968 = 2*u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f**4*i + 19*f**3*i - 164*f**3 + 10*f**2*i + 2*f**2 - 85*f + 5*i wrt f.\nAnswer: 72*f*i + 114*i - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**2 + 111*a - 326. Determine x(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaya when four letters picked without replacement from {a: 3, y: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 10 - 2*c + 0*c)*(3*c + 5 - 5).\nAnswer: 3*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/9, 0.35, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 4*x + 88, 362*l + 110 = 358*l - 5*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 4*s**2 - 3*s + 1. Let t be r(3). Let z be 0\/(-1 - t)*1. Let g = -25.36 - -23.36. What is the smallest value in g, -4, -0.4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/(-1))\/6)\/(5\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**6\/540 - 2*n**5\/135 + n**4\/27 - n**2 - 3*n. Let h(p) be the first derivative of o(p). Let h(r) = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -5. What is x in -3*x - q*x**5 + 6*x**2 - 3*x**4 + x**5 - 3*x**4 + 4*x**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**4\/9 - 220*u**3\/3 - 57650*u**2\/9 - 176000*u\/3 - 1280000\/9 = 0. What is u?\nAnswer: -160, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20241120421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s = -11*s - 2280. Suppose -s = 9*q - 1866. What is the remainder when q is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1328*z**2 + 1331*z**2 + 1326*z**2 - 3983*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 - 1 + 1 + (-3*f**2 + 16 - 16)*(-2*f + 5*f - f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/131481 and -89\/78287544.\nAnswer: 548012808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107327379 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 - -176. Let c be (-4)\/(8\/(-4)) + 14. What is the highest common factor of c and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + 1 + sqrt(320) + 0 + sqrt(320))**2 + (((0 + sqrt(320))*2 + sqrt(320))**2 - sqrt(320)).\nAnswer: 40*sqrt(5) + 5761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of 1\/3*h**3 + 1\/84*h**4 + 5 + 10*h + 13\/14*h**2. Factor n(y).\nAnswer: (y + 1)*(y + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4 = 1. Suppose a*p + 10 = 8*p. Suppose 6*v - 4 - p = 0. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6428, -6546, -6662, -6776, -6888?\n\"Answer: t**2 - 121*t - 6308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 + 3*n**2 + 5*n - 2. Let q be j(4). Find the third derivative of -2*p**2 - 12*p**5 - p**5 - 4*p**2 + 9*p**q wrt p.\nAnswer: -780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(125) + (sqrt(125) - sqrt(125)*5))*-2 + sqrt(125))*4 - ((-1 + sqrt(125))*-4 + -3)*3)**2.\nAnswer: -1200*sqrt(5) + 200009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 303 - 130002033321?\nAnswer: -130002033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147096475.\nAnswer: 5, 281, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6.6961 and 634654796.\nAnswer: 634654802.6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8832 and 1024.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**2 + 43*t - 24 = 0. What is t?\nAnswer: 3\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 79686.2 litres?\nAnswer: 79686200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2 - 3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + p**2 + p + 1. Let v(l) = -3*l**3 - 9*l**2 - 6*l - 7. What is 5*a(s) + v(s)?\nAnswer: 2*s**3 - 4*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 1. Let j be g(2). Let t be (-276)\/8*(-2)\/j. Let n = -1183\/85 - t. What is the nearest to 1\/3 in 3, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 77*m**4 - 2*m**3 - 87*m**2.\nAnswer: 1848*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 218634, 874935, 1968762, 3500109, 5468970, 7875339, 10719210?\nAnswer: 14000577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 250654147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 + 12*g**2 - 11*g + 24. Let x be r(8). Suppose 0 = 4*n + 3*d - x, 0 = -3*n - n - 4*d + 2236. What are the prime factors of n?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*o**2 - 50*o**2 - 16*o**2 - 28*o**2 + 188*o**2.\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2*b = -2*m + 11, -3*m + 9 = -3*b. Calculate the least common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 589967 != 589971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -152855507 + -4?\nAnswer: -152855512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that l**3\/2 + 17*l**2\/2 - 12063*l + 277704 = 0.\nAnswer: -174, 24, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -157 from 8.4887.\nAnswer: 165.4887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -115, 2\/5, -2, 22536, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1761*s + 335*s + 94*s - 1970*s.\nAnswer: -3302*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 952 divided by 30\nAnswer: 476\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 53.2321814 and -0.2.\nAnswer: 53.0321814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 5*q - 18 - 12, 3*q + 3*y = -9. Solve -6 + 0 = -2*r + 4*t, -9 = -q*r + 5*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -0.5, -36\/13 in decreasing order.\nAnswer: -0.5, -3\/5, -36\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 198 - 134. Find the third derivative of 64*k - b*k - 32*k**4 - 24*k**2 wrt k.\nAnswer: -768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 1, -28, -3, 0, -2.\nAnswer: -28, -3, -2, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 7. Calculate the remainder when 69 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1538.03 rounded to zero decimal places?\nAnswer: -1538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 10*y**2 - 2. Let g be q(10). What is the smallest common multiple of 3 and 9\/4 - 1 - g\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(10\/2)*3\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 422 in -21, -3, -1\/3, -32?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*h + z, 4*h - z = 8*h - 29. Which is the nearest to 0.1?  (a) 4  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sjssjbsmsmstvmt. Give prob of picking 1 m and 1 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/18 and 17\/2400.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 289*o**4\/4 + 16558*o**3 + 1107796*o**2 + 18233280*o + 87609600 = 0.\nAnswer: -104, -180\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 435, 792, 1253, 1824, 2511, 3320?\nAnswer: 4257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 1850, -10, -101 in descending order.\nAnswer: 1850, 5, 4, -10, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from {i: 5, w: 8}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 65 + -332?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/20*1*5\/6. Solve 1\/4 + 1\/2*i**5 + 0*i - i**2 + 3\/4*i**4 - m*i**3 = 0 for i.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iyxibbyyizziizuibix. Give prob of picking 1 b and 2 y.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(55)\/(sqrt(11)*3) - sqrt(5)) + sqrt(5).\nAnswer: -1 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -534158 > -11751471\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.9 - -3.2. Let g = -3.13 - x. Round g to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 63\/(-12) - (-2)\/8. Suppose -2*u - 2 = -6. Let s(w) = 3*w**3 + 3*w**2 - 5. Let n(q) = q**3 + q**2 - 2. Let h(z) = k*n(z) + u*s(z). Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {x: 3, g: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*b*q*u + 1016*b*q + 1351*q*u + 42*q - 1272*u wrt u?\nAnswer: 2*b*q + 1351*q - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 - 3*l + 5. Let n be u(4). Suppose n + 17 = 2*y. What is the remainder when -5 - 63*8\/(-12) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23334176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18*m + 7*m - 11*m)*(-6 + 2 + 2) to the form u + p*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 8:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 3. Suppose -2*p + 12 = 2*i, 2*i + 1 - 5 = 2*p. Suppose -2*a - 3*k = p, 4 = -4*a - 5*k + 2. Solve -u*f + 25 = 5*j, a*f - f - 8 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -7777425\nAnswer: -38887125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/16350 and -57\/34444?\nAnswer: 2583300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -18, -19, -32, -63, -118?\n\"Answer: -h**3 + 6*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6224700141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -47215, 1, -18 in ascending order.\nAnswer: -47215, -18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.2 times -2028?\nAnswer: 18657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g - g - 35. Let z = g - 1. Let x = z - 9. Sort 4, x, 1 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 4 = -2*y + 6*y, 2*o = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 23*-1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**3 - 3*o**3 + 2*o**3 + 458*o - 21*o**3 - 69*o**3 - 460*o + 2 + (3*o**2 - o**3 - 3*o**2)*(-5 + 3 + 3) - 578*o - 2*o**3 + 581*o + 4*o**3.\nAnswer: -91*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.291 + -10.3. Round y to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 7*v - 35. Give y(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 689 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*a - 4, 2*a - 4*n - 18 - 2 = 0. Let q(y) = y**3 - 4*y**2 - y + 4. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzcddtdcdgdc. Give prob of sequence bg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + v = -0 - 2, 2*v = 5*a - 7. Let q be (a - -1) + (-1 - 0). Is q\/1 - (-34 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -9. Let x = s - -5. Let l be (-1 + 24\/15)*5. Which is the nearest to x?  (a) -3  (b) l  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 3 = -93. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 1, -0.5, 2, 0.02964, -0.8 in decreasing order.\nAnswer: 26, 2, 1, 0.02964, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.26 - -0.66. Let c = 0.3301 - 4.3301. Let f = -4\/163 - -378\/2119. What is the closest to f in c, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -17, -24, -35, -50?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-11 + 4) - (-26 - (-164 - -77))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -s**7\/1260 - s**5\/30 - 3*s**2. Let x(q) be the third derivative of t(q). Let i(f) = f**2. Give x(i(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of -3 - 11\/((-198)\/74604) - 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -626 - -689. What is the remainder when w is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -50, -228, -672, -1514, -2886, -4920, -7748, -11502?\n\"Answer: -22*c**3 - c**2 - 21*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -15. Let t(o) = -o**2 - o + 6. Let k be t(a). Let p = k - -17. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -405*g - 1576. Let a(k) = -16*k. Give a(m(i)).\nAnswer: 6480*i + 25216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 609843396.\nAnswer: 2, 3, 50820283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68, 126, 184, 242?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 6*o**2 + o - 4. Let l = -40 + 46. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/3660 and -43\/13420.\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 2*d + 2*d)*(-3 + 3 - d)*(d + 2*d - d)*(6*d**2 - 9*d**2 - 5*d**2).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -559*r + 15225. Give b(26).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4 - 0. Suppose -w = -2*m + 4*d, 4*m + 0*d = -4*d + 20. Suppose -127 = 137*i - 401. What is the greatest common factor of m and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -117 + 121. Suppose 5*s = q - i*q + 129, 5*s + 5*q = 125. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 77\/2 of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140966098 is divided by 396.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of 0 + 1\/6*m**3 + 1\/30*m**5 + 0*m - 2*m**2 - 5\/48*m**4 - 1\/240*m**6. Factor o(z).\nAnswer: -(z - 2)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2335 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.2 and -74.412?\nAnswer: 89.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1055 in 1, 0.5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.738 - 78.598. Let u = -76 - x. What is u rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 5*i = 0, 3*v - 4*i + 2*i = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*u + 5*r, -4*u - 3*r = -0*u - 44. Suppose u = x - 4. Find the common denominator of (-1 + 131\/x)\/(3 + -2) and 39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 - 91 + 5967*h.\nAnswer: 5967*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 43.4032 or 2\/7?\nAnswer: 43.4032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60795, -60823, -60869, -60933, -61015, -61115, -61233?\nAnswer: -61369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1572 + 5*u**2 + 16*u**3 - 32*u + 1571 - 12*u**3 in the form x + r*u + g*u**2 + t*u**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2. Let x(h) = -10*h + 90. Let l be x(9). Let i(o) be the second derivative of -o + 0 + l*o**2 - 17\/12*o**4 + 0*o**3. What is k(i(r))?\nAnswer: 289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 250 = 5*h - 2*i, -h = i - 58. Calculate the highest common divisor of h and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 4:02 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*d + 5*d + 2*d)*(3 + 2 - 4) - 2*d - 2*d + 2*d)*(-8*d**2 + 10*d**2 - 24*d**2).\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/787  (b) 0.1  (c) -5  (d) 0.4  (e) 5  (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 4*s = 36, -v - 51*s + 55*s + 20 = 0. Solve 6 = -v*z + w, 0*w - 4*w - 4 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.15 - -1.85. Which is the nearest to 1?  (a) -4  (b) j  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 11:59 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -108 + 33 + 40 + 5*a + 0*a. Let f be t(8). Solve f = 7*d - 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*k - 107*k + 146*k = -70*k + 34848 for k.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2 + ((-18)\/(-7))\/((-195)\/910).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (68\/1207)\/(48 + -42 + (-2 - 2))\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*b + 20 = -18*b + 4*p, 3*b + 2*p = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)\/(sqrt(12)*5) - sqrt(30))\/sqrt(10).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1323 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 21*l + 6. Let v be b(-21). Suppose -10*i + v*i + 20 = 0. Suppose 0 = -i*h + 157 + 258. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3960 and 53680.\nAnswer: 483120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 341103 and 2072?\nAnswer: 2728824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 5*a - 3*q + 150 = 0, 0 = -3*a + 4*q + 61. Let j = a - 16. Solve 4 = -3*r - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/15*((-900)\/(-20) - 21).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1301445.44 to the nearest 100.\nAnswer: -1301400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -2, -12, 3 in decreasing order.\nAnswer: 5, 3, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**5 + 118*h**2 - 112*h**2 - 2*h**5 + (0*h + 3*h**2 + 0*h)*(-3*h**2 + 3*h**2 - 4*h**3).\nAnswer: -15*h**5 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 24 = -4*f. Suppose 2*d = -0*d + f, -a = -2*d. Let x(j) = -j**3 + 9*j**2 + j - 9. Is x(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 27396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21*57 + (5 - 9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + 0)*(-66)\/(-88). Suppose 0 = c - 3*w - 265, -3*c + 751 = -w + k*w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((12\/32)\/1). Let j = -4 - u. Suppose 5*q - q = -j*i - 60, 4*i - 2*q = -84. Which is smaller: i or -18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 2, 1, -1\/6, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -1\/4, 45\/58, 4, 1.\nAnswer: -1\/4, 45\/58, 0.9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2332302 + 222321?\nAnswer: 3221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112397 - 112397 - 7*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t\/t**10))\/(t**(12\/7)*t))\/(t**(2\/3)*t*t*t)**(5\/4) assuming t is positive.\nAnswer: t**(311\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.83 minus 151409.9531916?\nAnswer: -151405.1231916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33587775 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(192) + -4) + sqrt(192))**2*-6.\nAnswer: -20832 + 7680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/98 and -121\/6.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 37079 at most 37097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2005*u + 14565. Determine q(6).\nAnswer: 2535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, r: 2}. What is prob of sequence vrv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10718 + 10753 = -5*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 14*a. Let y(k) be the second derivative of 29*k**4\/6 - 607*k. Give w(y(i)).\nAnswer: 812*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/9*(246 - 240). Suppose 4 = -4*z - 3*d + 16, 0 = -3*z - 5*d + 9. Put 5, z, -2, n in decreasing order.\nAnswer: n, 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -1. Let t(q) = -5*q**3 + 3*q - 2. Let j be t(1). Let a(z) = -2*z**2 + 4. Let x(k) = j*m(k) - a(k). Let u(h) = 16*h. Give x(u(c)).\nAnswer: 512*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 7*j + 3*u + 12, 3*j + u = -4. Is 1\/55 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 1045661*q - 3136980. Determine w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 17 - 1 = 0, -3*y + a + 196 = 0. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7836443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -187 + 193. Calculate the highest common factor of 246 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12427\/28 - -177\/28. Let o = w + 2717\/6. Let f = o + -16. Which is the third biggest value?  (a) 3  (b) f  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/5, -0.5, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (1050\/875)\/(14\/5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*19\/1710*25\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -4952.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*h - 6, -5*v + h - 9 - 56 = 0. Suppose 3*z = 5*w + 165, 0*w + w = 5*z - 11. Let b = -33 - w. Put v, b, 0 in ascending order.\nAnswer: v, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1402\/9 - 156. What is the closest to 0 in m, 11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 6:15 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -8. Let i(t) = 7 + 2*t - 8 + t - j*t. Let s(r) be the first derivative of -r**4\/2 - r**3\/3 + 5*r**2\/2 + 5*r - 225. What is 5*i(g) + s(g)?\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/7)\/(a*a**(3\/4))*(a**(-1\/4))**(-4\/5) assuming a is positive.\nAnswer: a**(-157\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (3 - (13 - 3)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.043354 and 3364660?\nAnswer: 3364659.956646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v + 33. Let t(n) = -2*n**2 - 10*n - 10. Let b(o) = 2*o + 2. Let x(l) = -5*b(l) - t(l). What is x(u(j))?\nAnswer: 8*j**2 + 264*j + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 6*u - 6. Let l be n(-4). Suppose 3*t - 133 = 2*f, -f - 96 = -l*t + 4*f. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 7*l + 1 - 25*l.\nAnswer: -18*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 878\/(-6585)*18\/(-4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 740 = -5*q. Suppose -3*i + q = 142. Solve 0 = -4*k + 4*g - 24, g - 14 = 7*k - i*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 219 - 197. What is the smallest common multiple of 20 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 110 = -326. Let z = -62 + x. Suppose 0 = 5*y - s - 82, s + 23 = -4*y + 85. Calculate the remainder when z is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from -0.37622567.\nAnswer: -3.37622567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -51 + 12. Let d = p + -4. Calculate the greatest common factor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n*w*y**2 + 67*n*w + 2*n*y**2 + 2*n*y + 2*n + 9*w*y**2 + 3*w + 2 wrt y?\nAnswer: -2*n*w + 4*n + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -163.3 + 0.8. Let w = x - -163. What is the closest to -2 in 0, 2, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 264*c - 193?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 286, 294, 314, 352, 414?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 207899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m**2. Let p = -15 + 17. Let k(r) = -4*r**2 + 4*r**2 - 3*r**2 + 4*r**p. What is k(j(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6.38485911 - -6.385. Round l to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 173339669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-4))\/((-1)\/(-3)). Suppose 5*m + 3*n - 60 = m, -n = x*m - 45. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 8. Let x be (4 + i\/3)\/1. What is the nearest to -1 in x, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 191, 383, 573, 761, 947?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1108 - 1103. Let o = 10 - -3. Suppose 4*r + 2*n - 14 = 0, -r + 4*n - 6 = o. Put l, -3, r in decreasing order.\nAnswer: l, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61980599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -17*u - 18. Let t be b(0). Let m(l) = -9*l - 80. Let o = 30 + -18. What is the remainder when m(t) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 0.0243\nAnswer: -0.01215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24046*u**2 + 24046*u**2 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -23*z**2 + 2*z + 1. Let w(l) = -30856*l**2 + 2842*l + 1421. Let v(s) = -7105*g(s) + 5*w(s). Let b(o) = 2*o. Give v(b(a)).\nAnswer: 36540*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55776 and 25647.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -1*sqrt(2299) + sqrt(2299))*-3 - ((-1 + sqrt(2299))*-5 - (sqrt(2299) - (3 + sqrt(2299) + -1*sqrt(2299)))))**2*5*6.\nAnswer: -67320*sqrt(19) + 2491590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 805 + -790. Factor -7 - 2*a**3 - 4 - 2*a**2 + 3*a + 29 + b*a.\nAnswer: -2*(a - 3)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3*a = -27, -4*a + 31 = 5*o - 6*a. Let n(c) = c**3 - 6*c**2 - 6*c - 10. Let k be n(o). Does 10 divide (22\/5)\/(k\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2370, -2285, -2130, -1899, -1586, -1185, -690?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 942931 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1717 and 8898259.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2184 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 10:39 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 127, 124, 111, 82, 31, -48, -161?\n\"Answer: -t**3 + t**2 + t + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.9725 - -140.4385. Round y to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 34*u**3 + 4*u**2 + 12. Let d(o) = -33*o**3 - 3*o**2 - 11. Let v(y) = 4*d(y) + 3*t(y). What is the first derivative of v(j) wrt j?\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1318, -2643, -3968?\n\"Answer: -1325*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)*-3)**2*2 - sqrt(363).\nAnswer: -11*sqrt(3) + 6534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17, 16, -7, -64, -167, -328?\n\"Answer: -2*s**3 + s**2 + 10*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 1\/1)\/(-1). Which is the closest to k?  (a) 5\/3  (b) 5  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67927 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8 = 4*u - 61, -u = -5*f - 23. Suppose 2*w + 2*w + 4*c - 88 = 0, -2*w + 3*c = -69. Calculate the highest common divisor of u and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.2 - 2. Let n = -0.162 + 0.22. Let i = n - 0.158. Put i, h, 4, 2 in decreasing order.\nAnswer: 4, 2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2 - 1)*(-1 - 2*m + 1) - m + 5*m - 2*m - 1 + 1 + m)*((3*m - m**2 - 3*m)*(195*m - 66*m + 91*m) + (0*m + 3*m - 2*m)*(-m**2 + m**2 - 2*m**2)).\nAnswer: -1554*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159394, 159429, 159486, 159565, 159666, 159789, 159934?\nAnswer: 160101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-8)*(-364)\/39\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2893*u + 50367 + 173377 - 26682 = -17020 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -251*f - 6861 = -6610. Let m(j) = j + 1. Let n(i) be the third derivative of 0*i + i**2 - 2\/3*i**3 - 5\/24*i**4 + 0. Give f*n(v) - 6*m(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)*g*g*g**(9\/7)*g)\/((g\/(g**(-9)\/g))\/(g*g\/(g*g*g**10*g*g))) assuming g is positive.\nAnswer: g**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -y + 5, -5*y - 2*z + 15 = -2*y. Suppose -2*m = -10, 3*o - 9 = m + 79. Suppose 30*q = o*q - 1. Solve y*v = q + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o\/(o**(-3\/4)\/o)))**(-10\/7)*(o*o**(-2\/7))\/(o*o**(7\/5)) assuming o is positive.\nAnswer: o**(157\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 3*u**2 + 1. Let j(b) be the first derivative of 0*b**2 + 8\/3*b**3 + 178 + 0*b. Calculate r(j(c)).\nAnswer: 192*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b1231 (base 14) in base 7?\nAnswer: -30622161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4 = -y, 5*y = -3*b - b + 18. Let w be (6\/9)\/(b\/3). Let z = 0.2489 - 0.3489. Put w, z, 5\/2 in decreasing order.\nAnswer: 5\/2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 2, 191, 502, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9*28\/2*116\/(-8). Let w = -18203\/10 + c. Find the common denominator of 27\/14 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 573 - 303. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103468000 rounded to the nearest one hundred thousand?\nAnswer: 103500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5*((sqrt(209) + 1*sqrt(209) + sqrt(209))*-6)\/(sqrt(11) + sqrt(33)\/sqrt(3)*6) + -3.\nAnswer: -90*sqrt(19)\/7 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*((2*sqrt(1539)*-3)**2*2*-1 + 3)*1.\nAnswer: 443218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1322893 is divided by 1123.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11175 and 1500.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, o: 11}. Give prob of picking 1 o and 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -1\/4, -6, -5, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 - -21.4. Let g = 0.0979 + -4.0979. Which is the nearest to 4?  (a) 3  (b) w  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - 15505?\nAnswer: -15465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3*o + 5)*(-5 + 2 + 1)*(o + o + 0*o + (-2 + 3 - 2)*(-3*o - o + 3*o) + 9 - 2*o - 9).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*t + 2 - 5 + 2 + 60*t - 3.\nAnswer: 55*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/((-145)\/4640).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 211907 minus 20776751?\nAnswer: -20564844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 897.6 + -662. Let c = r - 235.2683. Let y = 0.346 - c. Round y to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -37. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/((p\/(p**(-1\/2)\/p))\/p)*p))**(-1\/98)\/((p\/(p\/(p\/((p\/(p\/(p**(-4\/7)*p)*p)*p)\/p)))*p)\/p**(-2\/5)) assuming p is positive.\nAnswer: p**(-2917\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -4\/7, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*c - 170 - 269, -3*q - 79 = -c. Calculate the remainder when c is divided by 66.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -489997, -979924, -1469851, -1959778, -2449705?\n\"Answer: -489927*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((34\/(-24))\/17*-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2052\/855*-55*2\/4 + -2?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5514825 by -1.\nAnswer: -5514825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 123*n**5 - 2*n**2*x - 141*n*x wrt n.\nAnswer: 2460*n**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -276*j**4 - 10195*j**3 - 39*j**2 + 953676088 with respect to j.\nAnswer: -1104*j**3 - 30585*j**2 - 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23829 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -12. Let m be -2*(-6)\/4 - 3. Let t(g) = -g**2 + g + 3. Let w be t(m). Solve 0*o + 19 = q - w*o, -2*q - 17 = c*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3*2\/4)\/((23 - -7)\/(-162120)). Calculate the highest common factor of 42 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5712806*x**2\/5 - 61648*x\/5 + 72\/5 = 0.\nAnswer: 2\/1501, 18\/1903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 40499004 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5118496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -526 or -541?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 120*p - 1055. Give a(6).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 286*w**3 + 3286*w**2 wrt w.\nAnswer: 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22191 or -29536?\nAnswer: -29536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, o: 2, n: 1, l: 1, e: 7}. What is prob of picking 1 p and 2 e?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 4 - (4 + 10)) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10111110 (base 2) to base 3\nAnswer: -21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51032 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o + 230 = -250. Let n(w) = w**3 + 40*w**2 - 4*w - 156. Let r be n(o). Solve 0 = -3*u + 6*u - 5*b - 2, -4*b = -u - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13\/5769 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.14 + 1.27488.\nAnswer: 5.41488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**3 - o**2 + o + 1. Let n be i(-1). Let w be (-1)\/n + 17\/(-3). Let s be ((-4)\/w)\/(2\/(-6)). Put -3, s, 3 in decreasing order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1224)\/2040*10\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*b*f*r**3 - 11333*b*r**3 - 65*b*r**2 + f*r**3 - 13654*f*r wrt f.\nAnswer: 5*b*r**3 + r**3 - 13654*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 108732655 = -o. Let n = -10446531 - o. Round n to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 19, z: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 - 3*c - 2. Let n be d(-2). Suppose n = -5*x + 3*r + 10, -x - 5*r + 2 = -r. Let o be x*(4\/(-10))\/(-2). Is -1\/3 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -912, -1799, -2684, -3567?\n\"Answer: p**2 - 890*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -0.5, 2647?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-2)*(-2)\/((-12)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 14*v**3 - 9*v**2 + 7*v. Let p(n) = 13*n**3 - 9*n**2 + 6*n. Let j(m) = -6*g(m) + 7*p(m). What is the third derivative of j(d) wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1962335?\nAnswer: 5, 392467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.071 - 1.929. What is the nearest to 2\/5 in g, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 10:41 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = j - 16, -3*j - 15 = -0*j. Let y(w) = 2*w + 5. Let z(f) = f + 3. Calculate b*z(q) + 4*y(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2425.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/(-715)*2184\/1344.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 25\/57  (b) -2  (c) -5\/288  (d) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36\/23 - 442\/253. Let j = -1 + 0. Which is the biggest value?  (a) j  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 18*c**3 + 7*c**2 - 156*c + 21. Let d(b) = 16*b**3 + 6*b**2 - 156*b + 19. What is -10*d(u) + 9*y(u)?\nAnswer: 2*u**3 + 3*u**2 + 156*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r - 69. What are the prime factors of p(20)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1322406524.\nAnswer: 2, 71, 139, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2. Let c(z) = -47*z + 1. What is c(x(a))?\nAnswer: -94*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3, -2*i - 2*o + 774 = i. Suppose -5*w + i = -5*v, -4*v + 178 = 3*w + 1. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/7 + 24140*i - 12176928\/7.\nAnswer: 2*(i - 72)*(i + 84562)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -3*b**2 - 4*b - 3. Suppose 4*v - 11 = 1. Suppose -2 = -v*z + 4*z. Let o be f(z). Is -5 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(7\/2)*d*d)\/d*d)**(-23)\/(d**(5\/3)*d\/(d**(-5)*d)) assuming d is positive.\nAnswer: d**(-937\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6217817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52.19672 kilometers to micrometers.\nAnswer: 52196720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**2\/5 - 732*t\/5 + 66978\/5 = 0.\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 p when three letters picked without replacement from psbpuusiupsfsss?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 492391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 8*c - 9. Let n be k(-6). Suppose 0*a = -a - n. Let v = a + 9. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d - 9*d + 27*d + 3*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31003333 - -120?\nAnswer: 31003453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.1, -811, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*((b*b**(-3))\/b)\/b)\/b)\/b)**(-1\/22)\/(b**(-12)\/b*b*b\/(b\/b**10)) assuming b is positive.\nAnswer: b**(49\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - y - 19 = 0. Let p = y - -24. Is 655 - -1 - 15\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*j + 4081 - 4606 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3497.7 - 11.\nAnswer: -3508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50482 by 2.\nAnswer: -25241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**2. Let v(p) = 5758788*p**2. Determine v(k(h)).\nAnswer: 23035152*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59.5 - -59.4. Which is the nearest to f?  (a) -18  (b) 4  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 33 = -1. Suppose -s + 16 = m, -2*s + 9 = -m - v. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of 20*i**2 - 1 + 1\/120*i**5 - 5\/24*i**4 + 0*i + 0*i**3. Factor p(m).\nAnswer: m*(m - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/11  (b) -21  (c) 2\/7  (d) -5  (e) -29\/3  (f) -2\/9  (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 141*b = -142*b + 38, -2*b = -a - 48 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*j - 1 + 0*j + 5*j**3 wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*t = 72*t + 48*t - 442. Solve y + t*x - 20*x = 13, 2*x = -y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 16506786.644766?\nAnswer: 16506791.644766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1312 - -104204001?\nAnswer: 104210313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 238*u**2 - 105*u**2 - 131*u**2 - 211*u to y*u**2 + z + x*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 3*h - 7*h - 2 = 0, h - 12 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 62805*l + 153. Let c(h) = -2512*h - 6. Calculate 51*c(n) + 2*p(n).\nAnswer: -2502*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -252*u**3 + 0*u**2 + 244*u**3 + 0*u**2.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 9*x - 13*x - 1223, -3*y - 611 = 2*x. Which is smaller: x or -306?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 332 - 226. Calculate the remainder when o is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.11 + 4.11. Let d = 2192.44 + -2194.44. Which is the closest to d?  (a) t  (b) -3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1111663632 a multiple of 4479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64602?\nAnswer: 2, 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**3 - 1272*z**2 - 24544*z + 118272.\nAnswer: 4*(z - 336)*(z - 4)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22151 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*n = -18, h + 2*n = 3*n + 1. Suppose -5*b - h*a = -21, -8 - 3 = -3*b - 4*a. Solve -3*p + 4*p - b = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -4067*x + 132. What is the units digit of v(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 3*c**2 - 7*c + 6. Calculate r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(4\/9))**12)**34 assuming u is positive.\nAnswer: u**(1768\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -28*n**2 + 14*n + 2. Let p(w) = 6*w. Calculate s(p(m)).\nAnswer: -1008*m**2 + 84*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*((-3 - 1 + 6)*(-3*j - j + 2*j) - 3*j + 4*j - 2*j)*(-1 + 1 - j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 34. Let v = 8 - n. Let u = v + 21.0000048. What is u rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**8\/6720 + o**7\/280 + o**4\/3 - 6*o**2. Let m(a) be the second derivative of l(a). Find the third derivative of m(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -416. Let d = c - -409. Solve 3*a + 29 = -d*f, -a + 8*f + 12 = 5*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + ((-332)\/36 - -2) + 12\/2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*v + 1 + 3, 4*v + 5*u - 20 = 0. Solve 0 = -2*q + f + 7 - 1, v = -q - 4*f + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwow when four letters picked without replacement from oowwowwowwomwooowm?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31204 and 644032?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**4 + 55*j**3 + 70*j**2 - 220*j - 360.\nAnswer: 5*(j - 2)*(j + 2)**2*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 864 + -834. What is the highest common divisor of k and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 1 + 12 + 6*p - 9 - 3 - 3*p + 3 + (-2*p + 2*p - 4*p)*(5 - 5 - 2) to g + o*p and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 88 + -61. Suppose -4*k - 2*d = 730, 5*k + 5*d + 1505 = 600. Let a = k - -262. Calculate the remainder when a is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (40 - (-10 - -18))) + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3888 + 5?\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 24289 - 584. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (438 - 438 + 17*k**2)*(-7 - 6 - 1) + (k + 0*k + 0*k)*(0*k + 4*k - 5*k) - 3*k**2 + 2*k**2 - k**2.\nAnswer: -241*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1104 + 1024 - 16*u - 2104.\nAnswer: -16*u + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**4 + 15*i**3 + 120*i**2 - 420*i + 288 = 0. What is i?\nAnswer: -6, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11327?\nAnswer: 47, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 10*v + 133. Let n = -1461 - -1448. Let g be f(n). Find d, given that 5\/3*d**4 + 25\/3*d**2 + 0 + 20\/3*d**g + 10\/3*d = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 6*p - 61395 = 0, 4*d = -p + 57492 + 24410. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 1 - 12 - 457*a**3.\nAnswer: -457*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*1300.448.\nAnswer: 15605.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429*w + 495*w - 21703 - 19066 = -12125 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11151 and 8642379.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 74071*o**2 + 32*o. Let c(x) = -x. Give t(c(s)).\nAnswer: 74071*s**2 - 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.74976494 rounded to two dps?\nAnswer: 4.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -21*g + 9. Let n(x) = x + 1. What is f(l) - 9*n(l)?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -72151371.55 + -1?\nAnswer: -72151372.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 32*q**2 - 65*q - 114. Calculate v(34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699328 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l**2 + 509*l - 12934. Determine s(92).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 231462143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z - 26 = -4*u - 11*z, -u = -z - 9 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -0*n + 5. Let a = n + 4. Suppose 20 = 4*c - a*c. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*(-16)\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and 4070?\nAnswer: 4071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*n - 4*z - 4, 3*z + 1114 - 1118 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 PM and 3:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 56911, 50826, 44741, 38656?\n\"Answer: -6085*u + 62996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7122 + -7112. Solve 39*g = c*g + 145 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35.80932 - 104.\nAnswer: -68.19068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 30*m**2 + 3*m - 30. What is b(30)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 359 - 304. Suppose 2*a = -4*p + 70, -12*a + 10*a + y = -p. What is the remainder when 51 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 6*f = -12. Which is smaller: f or -4\/55?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 366*l - 2096*l - 57090 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002 times 0.1641571?\nAnswer: -0.0003283142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27635 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t - 79 + 100 - 21.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -7. Put t, 4, 0 in increasing order.\nAnswer: 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6832, 6835, 6840, 6847, 6856, 6867?\n\"Answer: p**2 + 6831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -2\/179  (b) -4  (c) -0.2  (d) 1\/5  (e) 4.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -2*j - 44, 0*z - 5*z + j = -211. Suppose 0 = -18*u + 11*u + z. What is the third smallest value in 2\/3, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t - 6. Let o be r(-3). Suppose -3*n + 9 = -2*f, n - 2*n - f + 3 = o. Let z(p) = 27*p - 9*p - n*p - 1. Calculate z(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 811.\nAnswer: 3\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0.1, 7387.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5309756 is divided by 1327347?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 11*h - 11. Let w(d) = -3*d**2 + d - 1. Give 4*g(p) - 44*w(p).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 0. Find x such that -44*x**2 - 4*x**4 + 10 - x**4 - 25*x + 59*x**2 + v*x**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1497 + 1496.98497. What is r rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 12, r: 6, o: 1}. What is prob of sequence zzr?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 770881843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w - 8*w**2 + 20*w**2 - w to the form x*w + u*w**2 + m and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103 + -434044233?\nAnswer: -434044341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 169755 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 123848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3421 * -0.0125.\nAnswer: 42.7625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 365.\nAnswer: -24\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 6*v**2 + 11*v - 16. What is k(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 9. Let w(k) = 2*k**3. Let i be w(-1). Let y be (i\/(-65))\/(3\/15). Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1492366147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160087390?\nAnswer: 2, 5, 2273, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 673 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -99683020*g**3 + 42173593 wrt g.\nAnswer: -299049060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9592874*w = 9592839*w - 1820 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 826 + 3?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30445518*t**2*w - 32365545*t*w - 2*w wrt t?\nAnswer: -60891036*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3 = 2*w - 2*t, 2*t - 6 = -2*w. What is the common denominator of (((-68)\/18)\/2)\/1 and 1*(w + (-1)\/5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (27\/(-6))\/((-1)\/36*1). Suppose -653*w + 655*w = 12. What is the greatest common divisor of x and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f - 2. Let t(j) = -1. Suppose -5*h + 10 = -0. Let i(x) = h*t(x) - c(x). Let p(u) = -u**2. Give i(p(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence syss when four letters picked without replacement from ssssyssyssyyssssss?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 828252 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -7*f**3\/6 + f**2 + 4*f. Let t(d) = -3*d + 1. Let i = 39865 - 39860. What is i*t(v) - 2*y(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 930\/(-62)*(-2)\/10 - 1. Let c(k) be the first derivative of -y*k + 5\/2*k**2 + 9. Differentiate c(i) wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*y**3 - 14*y**3 - 7*y**3 - 12*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 + 1 + 2510*r - 1 as m + s*r and give s.\nAnswer: 2510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 9*v**2 + 2*v + 16. Let x be a(-9). Sort 4, -17, x in increasing order.\nAnswer: -17, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of 0*g**4 + 0*g + 0 - 266*g**2 + 13\/24*g**6 + 3*g**3 - 1\/105*g**7 - 1\/30*g**5. Find the third derivative of b(q) wrt q.\nAnswer: -48*q + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 18 = 14*m. Suppose -4*w = -k - 8, -m*k + w - 40 = -3*w. Let o be (-510)\/k - 1\/(-8). Calculate the highest common factor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 280269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/5 - (-1419)\/165)\/((-6)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -661 - 104 = 17*b. Does 13 divide 30\/b*(2106\/4)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 + o**3 + o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 934 and 575.\nAnswer: 537050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11\/3*(-3 - 0). Let k be 13*5\/((-390)\/(-12)). Sort 3, q, k in descending order.\nAnswer: 3, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12324 - -15737?\nAnswer: 30263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1064812 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1890, 3718, 5546, 7374, 9202?\n\"Answer: 1828*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8564322 a multiple of 1861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0518 and -9.\nAnswer: -0.4662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 5*t**3 - 312665*t**2 = 0.\nAnswer: 0, 62533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of 3*f**6\/25 + 48*f**5\/25 + 61*f**4\/30 + 2*f**3\/3 + 33*f + 25. Factor u(z).\nAnswer: 2*z*(z + 10)*(3*z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11264 - 11249. Calculate the remainder when 3401 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/7 + 472*h**2\/7 - 1912*h\/7 + 1920\/7.\nAnswer: 2*(h - 2)**2*(h + 240)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36 - 6233206?\nAnswer: -6233140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 508, 1200, 1898, 2608, 3336, 4088, 4870, 5688?\n\"Answer: c**3 - 3*c**2 + 694*c - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 12 = 4*h, 0*z - 6 = 3*h - 3*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) - (sqrt(210) - sqrt(210)*1)\/sqrt(6)) + sqrt(35) + sqrt(35) - sqrt(35))\/((sqrt(70)*5)\/sqrt(10)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1110 (base 2) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -7*q**5\/5 + 5*q**3\/3 + 8. Find the third derivative of n(b) wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 130, 8.21, -3, 0.4, -4, 4.\nAnswer: -4, -3, 0.4, 4, 7, 8.21, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2\/2 - 476849*o\/2 - 238425 = 0. Calculate o.\nAnswer: -1, 476850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 5*k - 6. Let v be s(-6). Suppose v*f + f = 7. Solve 2*m + 3*u + f = 0, -m + 7*u - 9 = 3*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000083706 to six dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t + 0 + 60 = 0. Solve -t*b = -2*r + 7, -2*b + 16 = 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - j - 3. Let d be m(4). What is the highest common divisor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w. Let x be r(3). Suppose 5*l - 2*n = -5*n + 43, 4*l - 2*n - 52 = 0. Let h = x - l. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-11) + 210\/1155. Solve 0 = 2*d - 4, -16 = -4*y - 4*d - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6042 - -151063\/25. Does i = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 - v + v + (1 - 3 + 0)*(-4*v**4 + 3*v**4 + 0*v**4) - 192*v**4 - 68*v + 53*v + 12*v.\nAnswer: -191*v**4 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -372.8153 and 1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 223*i - 111*i = 1792. Solve -42*d - i = -58*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c + 6. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009062 rounded to 7 dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -51*p - 51. Is 9 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3587567440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*c + 2*c + 72 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nuvvooogvvvfu. What is prob of sequence uo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 133 = 204. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {c: 7, x: 2, q: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of -i**5\/25 + 23*i**4\/15 - 8*i**3\/3 - 88*i**2\/5 - 1550*i. Determine d so that g(d) = 0.\nAnswer: -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -68. Suppose v = -4*b - 18, g = -2*v - 4*b + 5. What is the second biggest value in v, 5, -5, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7df (base 16) to base 11\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-1)\/10*66)*35\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*k**2\/9 - 190858*k\/3 + 81796\/9.\nAnswer: 2*(k - 40898)*(7*k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*r - 16*r - 3. Does 6 divide r + 111\/(-39) + (-1656)\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -658*u + 14580 = -754*u + 582*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n - 2. Let f(s) = -3*s + 1. Give 4*f(w) + 3*q(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -h**6\/15 + h**4\/4 + h**3 + 74*h**2. Let s(j) = -j**3 + j + 1. Give -6*s(k) + t(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(85) + sqrt(85) + 1*sqrt(85) + sqrt(85)))\/((sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44 + -42. Let y(h) = h**3 + 8*h**2 - 2*h - 11. Let w be y(-8). Calculate the greatest common factor of g and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.955 + -4.925. Let x = -1349 - -1349.3. Let q = x + g. What is q rounded to 1 dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = v - 2*w - 11, -6 = -2*v - 4*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w - 6. Let t be r(3). Suppose -t*o + 20 = 2*o. Solve -3*x + 3*h = -12, 9 = -x + o*x - 2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 62 - 111634704?\nAnswer: -111634622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 56\/(-6)*21\/14. Let h be (2 - -1) + l + 18\/3. Let v(n) = -n**2 - 6*n - 1. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of -b**6\/60 + b**5\/60 + 5*b**4\/12 - 3744*b**2. Let r(q) = -q**3 + q**2 + 5*q. Calculate -5*r(y) + 3*v(y).\nAnswer: -y**3 - 2*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39.2 + -35.2. Let m(t) = -5*t**2 - t - 1. Suppose s = -5*s - 6. Let g be m(s). Which is the third smallest value?  (a) g  (b) -3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105348?\nAnswer: 2, 3, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1027 and 0.7.\nAnswer: -0.07189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 198.3 - 198.300001381. Round t to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16)\/40*20\/(-4). Determine u so that -3\/5*u**l + 0*u + 2\/5*u**3 + 1\/5 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**3 - k**3 + k + 3*k**3 to r*k**3 + s + x*k + o*k**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 11:09 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -49 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**12)\/n)\/n**(2\/3))\/(n**(-2)*n*(n\/n**(-6))\/n) assuming n is positive.\nAnswer: n**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 111100100 (base 2) in base 13?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4996 is divided by 293?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 8993 - -118\nAnswer: 9111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-4) - -1)*0. Let v = b + 0. Suppose 4*p + 12 + v = 0. Which is smaller: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 (base 10) in base 3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*n + 25, 2*n + 3*g - 15 = 11. Let b(c) = 2*c - 8 - n + 15. Let p(l) = -5*l - 9 + 9. Calculate -8*b(t) - 3*p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.23063 take away -317?\nAnswer: 317.23063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 127*f - 637. Determine w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0366, 1, -76 in decreasing order.\nAnswer: 1, 0.0366, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(104) + (sqrt(104)*1 + sqrt(104))*6)*-1)\/(-1*((sqrt(8) - 2*sqrt(8))*-1 - sqrt(8)*1*4)).\nAnswer: 52*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*2*7\/((30744\/63)\/(-61))?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/183 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122066705.\nAnswer: 5, 24413341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -217*q + 208*q - 32004. Let h = q + 6165. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1382221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5170 + 5172. Let m(o) = o - 3. Let d be m(5). Solve -16 = -b*v - d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*q**2 + 35 - 3*q**3 - 225*q + 151 + 189 = 0. Calculate q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 8*m + 1\/30*m**6 + 0*m**2 + 0*m**5 + 1\/42*m**7 + 0*m**4 + 0*m**3 - 9. Let d(l) be the first derivative of r(l). Factor d(p).\nAnswer: p**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**4*b)\/(b**(-1\/2)\/b*b))\/((b*(b*b**(2\/7))\/b)\/((b**(2\/5)\/b)\/b)) assuming b is positive.\nAnswer: b**(253\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -171, -705, -1613, -2907, -4599, -6701, -9225, -12183?\nAnswer: -15587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103 + 1030344?\nAnswer: 1030241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -553 = 24*i + 55*i. Let y(a) = -165*a + 7. Let j(d) = 55*d - 2. Determine i*j(z) - 2*y(z).\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -13*a**3 + 9*a**2 + 2*a - 6. Determine k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - -4)*(20 - 19). Let t be x\/310*28\/63. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17972429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, p: 10, r: 2}. Give prob of picking 2 r and 1 e.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-470)\/(-940)*4\/(-26)*-4\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/233 <= 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3941?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 8983537\nAnswer: 10\/8983537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-156)\/(-65)*560\/(-64)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uckkfkkukkcckuukkkru. Give prob of sequence ufuu.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23934 - -23933.99998163. Round n to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28\/(-56)*-1*(14232 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of c**5\/20 + c**4\/12 + 3*c**2\/2 - 3*c. Let s be k(3). Calculate the greatest common factor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -5*n, -6 = n - 7*m + 9*m. What is the fourth smallest value in 0.2, 8, n, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)\/r*r*r*r**(1\/5))**(1\/2)*(r**(-1\/2)\/r*(r*r**(-3\/4))\/r)**(26\/9) assuming r is positive.\nAnswer: r**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a*g**4 - 53*a*g**3 + a*g**2 - 2*a*g - 1097*a - 9*g**4 - 2*g**3 + 2*g**2 - 1 wrt g?\nAnswer: 24*a*g - 318*a - 216*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 989 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 39535*w + 514136. Determine t(-13).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2021.6 - 2022. What is the nearest to -7\/5 in 3, 1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -28633, 4 in descending order.\nAnswer: 4, 1, -28633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1206884407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 5345?\nAnswer: 5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*i = 0. Suppose -15 = 3*v - i*v, 76 = 3*p - 5*v. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.294 and -27814.\nAnswer: -8177.316","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Solve -6 + 1 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-27)\/6*8\/(-6). Let r be 32\/p - (-3)\/(-9). What is the third derivative of -2*d**2 + d**5 + 0*d**r + 0*d**2 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-12))\/f*f)\/f*f*f*f\/(f*f\/(f\/((f\/f**(-11))\/f)*f)*f)*f*(f**(-2))**(-20) assuming f is positive.\nAnswer: f**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7217.\nAnswer: 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4855, 9745, 14661, 19597, 24547, 29505, 34465, 39421?\n\"Answer: -l**3 + 19*l**2 + 4840*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100604.\nAnswer: 2, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-12)\/(-14))\/1 + (-18)\/42. Which is the nearest to -1\/6?  (a) -3  (b) 1\/5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.144 + -0.056. Put k, -2\/11, -1, 0.5 in ascending order.\nAnswer: -1, k, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1731, -3468, -5205?\nAnswer: -6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 5*r. Let n be w(1). Let v(p) = -p**2 - 34*p - 93. Let g be v(-3). Let a be ((-2)\/(-2)*-3 - -4)*7. Solve -n*u + 4*s - 32 = -a, 2*s = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -2571699082336?\nAnswer: 2571699082331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 1191333714.\nAnswer: -1191333716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 10*c - 7. Let p be o(-9). Suppose p*l = 2 + 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1646 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + o**2 + o - 1. Let z(r) = -2*r**3 - 2*r**2 - 2*r + 1. Let k(p) = 3*n(p) + z(p). What is the tens digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*c**2 - 121*c**2 + 249*c**2 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 158820 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 21700*n - 21701*n, 2*j + 3*n = 114 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 g when four letters picked without replacement from iytzgizzgzgxxtyggz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0\/o**(-3))**47*((o*o**(-2\/21)*o)\/(o*o**1))\/((o**(2\/11)*o)\/(o*o*o**0*o)) assuming o is positive.\nAnswer: o**(32969\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 20*b + 18. Let y be g(19). Let l(p) = 6*p**3 - 15*p**2 - 13*p. Let k(x) = 3*x**3 - 7*x**2 - 6*x. Let f(c) = -13*k(c) + 6*l(c). What is f(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = 4*r + 64 - 1406, 0 = 2*w - 2. What is the remainder when r is divided by 79?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000427254 rounded to 7 dps?\nAnswer: 0.0000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 306005 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1101*v**2 + 0*v + 1203*v**2 - 2*v)*(v - 2*v + 3*v).\nAnswer: 204*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3 + 3. Suppose 0*i - y*i + 22 = 0. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -4  (c) -176  (d) -19560\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 19\/(-17)*-1 + 478\/(-4063). Do h and -10\/1783 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 691*y**2 + 8*y + 3. Let p(z) = -z. What is q(p(l))?\nAnswer: 691*l**2 - 8*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 30*o + 70. Determine m(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31890814 less than 250?\nAnswer: 31891064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 729 divided by 3?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 6*k - 4. Let q(j) = 7 - 3 + 3 + 2*j. Calculate the remainder when s(9) is divided by q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 38187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37886562.\nAnswer: 2, 3, 7, 73, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 186, 328, 684, 1362, 2470, 4116, 6408, 9454?\nAnswer: 13362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2)*(-3)\/54*-3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmgmmuu. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r + 1. Let t(l) = -3*l. Calculate -4*k(h) - 5*t(h).\nAnswer: 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 98304303, 98304302, 98304301?\n\"Answer: -a + 98304304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 4*z - 10. Suppose 0 = 69*k - 1015 + 49. Calculate the greatest common divisor of z and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -13.5. Let o = -0.5 - d. Let l = o - 2. Which is the nearest to -1?  (a) -1\/9  (b) l  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -1\/32  (c) -2  (d) -15  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 1 + 3*v + 4*v - 1 - 20. What are the prime factors of r(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 + 3*l - 3. Let i be (-5)\/(-2)*(-12)\/(-15). Suppose 9 = 2*b + t - 2*t, -b + 2 = i*t. Is k(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 3*f**2 + 5*f + 1. Let v be p(-4). Suppose -5 - 4 = 3*y - 3*g, -2*y = 4*g + 6. Let k be (-9)\/3 - v*(y + 2). Which is smaller: -39 or k?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385*l + 12848 = -631*l - 152*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0240666546 and -23.\nAnswer: -22.9759333454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 0. Let k be (-1)\/((-1395)\/(-927)) + 10\/155. Let z = -4 - -6. Which is the nearest to -2\/5?  (a) g  (b) z  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(0 + 4\/(-8)). Suppose -5*f - x - 4 = 0. What is the tens digit of f\/(-1*(-4)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 x when four letters picked without replacement from {x: 4, a: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3998063 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3002*u + 1713*u - 454*u - 2811*u - 1970*u to j + v*u and give v.\nAnswer: -6524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 918212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*u - 6028, 4*u = -5*n + 3158 + 2872. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -2\/230341, -4, -672 in descending order.\nAnswer: -2\/230341, -0.3, -4, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -abb55 (base 15) to base 5\nAnswer: -114432210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 812, 3391, 7686, 13697, 21424?\n\"Answer: 858*t**2 + 5*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 3*d**4\/7 + 39855*d**3\/7 = 0.\nAnswer: -13285, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -109, -424, -963, -1738, -2761, -4044, -5599?\nAnswer: -7438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*p + 2*t, t + 11 = 5*p + 2. Suppose 0 = -4*l + l - 21. What is the common denominator of 83\/8 and (15\/l + p)*11?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -8*w**2 + 6*w - 2. Give s(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 PM and 5:07 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 6*w - 182. What is the remainder when w is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/1 + 2 + -1. Let n(c) = -4*c**2 + 2*c**2 + 2*c**2 + c**2 - 3*c - 5. What is the units digit of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g**3 + 5*g**3 + 61914*g + 10*g**3 - 17*g**3.\nAnswer: 2*g**3 + 61914*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14673024073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/11))**(-42)\/((t**(1\/3)\/t*t)\/t*t*t*t**9) assuming t is positive.\nAnswer: t**(-89\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 18, w: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5 = 23. Let c = -2 - j. Suppose c*q = 4*t + 1172 - 292, -q + 220 = 4*t. Calculate the highest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.1 - -3. Which is the nearest to 3?  (a) 3\/4  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + 0 - -2) + (263 - 259) - 36.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 equal to 188\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -50*l**4\/17 + 38070*l**3\/17 + 61768*l**2\/17 - 553896*l\/17 - 1196384\/17 = 0.\nAnswer: -14\/5, 4, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.674 rounded to one dp?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) + (sqrt(320)*2)**2 + 4 - (sqrt(320) + -1)**2*1)*-3 + 2)*-4.\nAnswer: 288*sqrt(5) + 11548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 421.49.\nAnswer: 421.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 2*a + 4. Let k be l(6). Suppose -22*m + 231 = -693. Calculate the greatest common divisor of m and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*h = -3*o - 64*h - 13, 5*h = 4*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104176469 and 3197.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - v**2 + 15*v + 8. Let b be y(-8). Suppose 0 = -23*h + b - 60. Suppose -3*w + 0*w = 0. Solve w = -l + 4*l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3804000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5734 and 2196.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 3*a - 2. Let t(i) = -7*i + 3. Suppose 3*b = -6 - 12. Let y(v) = b*t(v) - 11*x(v). Is 11 a factor of y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3478, -3532, -3612, -3718?\nAnswer: -3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 12 = 4*v. Suppose s + 5 = -4*s, -4*o = v*s + 43. Let n = o + 15. Solve -5*c - 4*d = -4, -n*c + 0 + 2 = 2*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 32. Is 22 a factor of (j\/(-1) + -3)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 0.04  (c) -44  (d) 3  (e) -0.2  (f) -35  (g) -15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32 + -24 - (2 + 0). Suppose 0 = -4*p - 4*m + 3336, m + f = 1. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*b + 73 = 46*b - 37 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*i + 12 = 0, -2*q + 9 - 11 = 3*i. Solve -g + 1 = -q*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*s + 76*s - 994*s as t + d*s and give d.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 159793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 3, -209, -6, -2\/11 in descending order.\nAnswer: 3, 2\/17, -2\/11, -6, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 6\/(-4))\/(15\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 3\/2, 0, -124?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**2\/5 - 3735597*q\/5 + 7471182\/5.\nAnswer: 3*(q - 1245197)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - b + 28*b + 78 = 10*b + 3*b, -5*b - 204 = 58*z - 0*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 15*l + 15*l - 102. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -17*l**3\/2 + 15*l**2 + 58*l - 1. Differentiate q(z) with respect to z.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -4*c**2 - 8500*c - 8496 = 0?\nAnswer: -2124, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*d = -43*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2316?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -26. Which is the second smallest value?  (a) u  (b) -0.4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2040837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 2*p**2 - p - 4. Let z be n(-3). Let a be ((-20)\/z)\/(-1 - 1\/(-2)). What is the smallest value in a, -0.04, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qotsqqcq. Give prob of picking 1 s, 1 q, and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2165316*b**5 + 18*b**4 - 4882*b**2 + 10604*b + 3?\nAnswer: -129918960*b**2 + 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0. Suppose -2*l = -n*l - 12. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 10:13 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -33. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.62 - 0.38. Let v = u - -9. Let t = -0.152 + -0.148. What is the third smallest value in t, v, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21023107.2 seconds to days.\nAnswer: 243.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vc when two letters picked without replacement from ijiiiccjijiivej?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1.6851 * 0.1\nAnswer: 0.16851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 4*q**5 + 340*q**4 - 4768*q**3 - 10864*q**2 = 0.\nAnswer: -97, -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1014 - 726. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 8 = 4*m. Let v = 3 + 0. What is the least common multiple of m and (-3)\/(v\/6*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -20. Sort 3, 0, v in decreasing order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 27755760*n**5 + 87*n**2 + 2*n + 99754 wrt n.\nAnswer: 1665345600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 859433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1232 and 41066564?\nAnswer: 164266256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 8*d**2 + 2*d - 2. Suppose 2*x = -3*x + 10. Suppose 12 = x*t + 4*r, -t + 2*t - 12 = -5*r. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5*j**3 - 309*j**2 - 66*j + 248. Let u be q(62). Sort 1, 11, u, -2, -8 in decreasing order.\nAnswer: 11, 1, u, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.3, 15, -23 in ascending order.\nAnswer: -23, -5, -0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2477 divided by -2477\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -11010101000000001001 (base 2) to base 14\nAnswer: -189d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {o: 2, r: 2, l: 1, a: 2, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1026812 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.07 + 0.07. Let x = -2 - q. Let v = -84.2 - -84.1. What is the closest to 0 in v, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173819057 divided by 211.\nAnswer: 823787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 3*d**2 - 123*d + 234 = 0?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126420 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 34 = 176*j - 180*j, -3*j + 4*s + 36 = 0. Let t = -3 - -7. Suppose t*z - 3*z = 4. Solve 0 = -4*r + 7*g - 3*g + z, -3*r + j*g = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -7*u**2 - 3*u - 16. Let k(o) = 11*o**2 + 4*o + 25. Let y(a) = -8*c(a) - 5*k(a). What is y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*z + 0 + (-2 - 1 - 4)*(-5*z + 4*z + 0*z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:33 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.4, -0.4, 0.51, -20, -0.3.\nAnswer: -20, -0.4, -0.3, 0.4, 0.51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 - -25 - (4 - 26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 8:04 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 z when four letters picked without replacement from {y: 2, j: 2, f: 1, m: 4, z: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -58 + 96?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 21*u - 125. What is the smallest common multiple of 126 and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + (-5)\/(-15))\/(10\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -680 + 330 = 20*i + 270 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/((-220)\/104 + 2\/1). Suppose 2*a = a + y - 2, -3*a - 5*y + j = 0. Suppose 10\/9*w**3 + a*w - 8\/3*w**2 - 4\/9 = 0. What is w?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133 = -33*o + 133. Let i(c) be the third derivative of -1\/16*c**3 + 1\/160*c**5 + 14*c**2 + 0 + 0*c + o*c**4. Determine g, given that i(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5278140 divided by 6.\nAnswer: 879690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) 4  (c) -378\/13  (d) -2\/13  (e) -17\/5  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 9*y**5\/5 - 85*y**4\/4 + 93*y**3 - 351*y**2\/2 + 108*y - 250. Solve z(i) = 0.\nAnswer: 4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1107, -2254, -3407, -4566?\nAnswer: -5731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 = 4*y + 10. What is the remainder when (-117 - -122)\/(10\/74) is divided by 1\/(33\/y - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 4*h - 6 = 0, -5*h = 1 - 6. Solve 0 = -2*p + 4*b - r, 2*b = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from {q: 8, z: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - -0.1. Let y = -3.8 - 0.2. What is the biggest value in 2, y, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 14*p**2 - 17*p + 5. Let y(v) = -41*v**2 + 47*v - 13. What is -11*l(m) - 4*y(m)?\nAnswer: 10*m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 6:42 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 129 = -t. Let h(l) = -l**2 + 7*l + 1. Calculate the remainder when t is divided by h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 2) + ((-882)\/5145)\/(4\/(-710)). Suppose 12 = 3*h, -4 - 44 = -2*v + 4*h. Is v smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 2*k - 35, -14 - 7 = -3*x - 3*k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 305.995 + -305. Let p = -991 + 990.1. Let m = p + h. What is m rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t = -9*t + 3, -2*t + 18 = h. Suppose 0 = 3*q - 15*q + h. What is the tens digit of (-1)\/(1\/(-165 - q))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 2*r**2 + 4*r - 3. Let k(x) = -x**3 - x**2 - 4*x + 3. Let a(d) = 5*k(d) + 6*z(d). Determine a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbttbbbbbb. What is prob of sequence bttb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 541 + -487. What is the remainder when 1292 is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -51*c. Let p(b) be the third derivative of 1 + 0*b**4 + 0*b + 1\/60*b**5 - 19*b**2 + 0*b**3. Determine p(l(k)).\nAnswer: 2601*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -0.015  (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (y**2 + 2 - 2)*(499 + 976 + 1171)*(2*y**2 - 2 + 2) as l*y**4 + s*y**2 + j*y + b + v*y**3 and give l.\nAnswer: 5292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 7548, 1, -1, -6, -4.\nAnswer: -6, -5, -4, -2, -1, 1, 7548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 651808168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u - 3*u + 4*u)*(7 + 4 - 13) + (2*u + 2*u - 6*u)*(0 - 3 + 5) + 2*u + 4*u - 4*u to r*u + w and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4575222\/65 + -70391. Let d = f - -36\/13. Suppose 0 = 4*q + 4*o + 20, 5*o = -2*q + 5 - 27. Is d less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -60*y + 10. What is the units digit of w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -58*s - 58*s + 105*s + 187 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 11. Let c(q) = -2*q + 1 - 966*q**3 + 965*q**3 - q**2 + 2*q**2. Let a be c(0). Calculate the highest common factor of k and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1376 + -1373. Solve -m = 2*x - 14, b*m = 4*x - 3*x + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**2*l**3 + 105*h**2*l - 472*h**2 - h*l + 45643*l**5 + 2*l wrt l?\nAnswer: -12*h**2*l + 912860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1, -3 in descending order.\nAnswer: 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 10:09 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -x**5\/60 + 5*x**2. Let h(w) = w**2 + 11*w. What is h(j(k))?\nAnswer: k**4 - 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*r - 1772 + 298 = 1245 + 1683 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -202*b**4 - b**3 - 2*b**2 + 10287 wrt b?\nAnswer: -808*b**3 - 3*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 429, 859, 1289?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/10, -72\/7, -16, 3\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-4) + (-42)\/(-24). Suppose -c*t - 8 = -3*t. Suppose -2*w - 1 + 9 = 0. What is the highest common factor of t and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3228944 is divided by 119589.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1493 = -3*f - 2*x, -x = 7*f - 12*f + 2497. Let t = -487 + f. Calculate the remainder when 52 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/12 and (-218)\/444*9\/45.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5095.6062 take away -0.2?\nAnswer: -5095.4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 14*d - 16. What is t(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -17\/4, 1, -1\/360?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 989 - 961. What is the highest common divisor of 12 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 387392377*t**2 - 289301765 with respect to t.\nAnswer: 774784754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 7*y**2 - 8*y - 9. Let w be f(-6). Let m = -24 - -34. Let o be -4*m*(-3)\/8. Solve -w*r - o = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 + 45. Let m be -1 - (-1 + w\/(-15)). Sort m, -2\/13, -2\/7, 2\/19 in increasing order.\nAnswer: -2\/7, m, -2\/13, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -15599, -9 in increasing order.\nAnswer: -15599, -9, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.9191 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 1)*(-3*y - y + 7*y)*(0*y - 2 + 8*y - 1).\nAnswer: -24*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 124, 246, 378, 520, 672, 834, 1006?\n\"Answer: 5*t**2 + 107*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 104384 and 2562068?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2498.4  (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = 810*u - 804*u + 20 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/42 + (-54)\/(-8316)*-319?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.24 + -0.04. Let y = 123\/4 - 31. Sort y, 2\/9, f in descending order.\nAnswer: 2\/9, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-4))\/((-3)\/(-6)). Let q(a) = 3*a**2 + 2*a**2 + f*a**2 + a - 1. What are the prime factors of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001 + -11000100001?\nAnswer: -11001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 4*p + 76, -z - 2*p = -0*p - 16. Calculate the remainder when 371 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**3 - 3*c**2 - 20*c - 1. What is the hundreds digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -355*s**3 - 13*s**2 - 15.\nAnswer: -2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 17*t - 65. Let l(j) = -3*j**2. What is l(s(k))?\nAnswer: -867*k**2 + 6630*k - 12675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 382992 is divided by 382.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(1\/1)*-10. Let z = 33 - 29. Calculate the lowest common multiple of ((-10)\/h)\/(-2 + (-206)\/(-102)) and z.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 22, 38, 54?\n\"Answer: 16*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -134*j**3 + 86*j**2. Let h(s) = 67*s**3 - 43*s**2. Calculate 2*b(q) + 5*h(q).\nAnswer: 67*q**3 - 43*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2833340)\/(-10))\/2 - (0 + -1). Let o(t) = 141668 + 2*t - m. Let k(p) = 180*p. Determine o(k(s)).\nAnswer: 360*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170920576?\nAnswer: 2, 47, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 82 + -75. Let o = i + 7. What is the greatest common factor of 126 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.3629681 years?\nAnswer: 0.03629681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19593*b**2 - 56*b + 386?\nAnswer: -39186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0.2, 2\/19, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7756793497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1147*h - 13. Let o(d) = 578*d + 8. What is 5*o(k) + 3*p(k)?\nAnswer: -551*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 6. Let u(c) = c**3 - 4*c**2 + 3. Let f be u(4). Suppose -f*p + 3 = -3. Are p and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -522 - -1017\/2. Which is the third biggest value?  (a) -3  (b) -2\/9  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2830861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1921524 to the power of 1\/2, to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 150726.4 grams?\nAnswer: 150.7264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20897 is divided by 271?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19.2 - -19. Suppose 14*m = 16*m - 3*k + 26, -4*m - k = 52. Sort h, 0.4, m, 4 in ascending order.\nAnswer: m, h, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*b - 3*f + 36 = 102*b, -2*f = b - 3 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.81 - 0.31. Let l = 9.5000087 - z. What is l rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33311 + -2210300?\nAnswer: -2110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -24, -148, -116 in descending order.\nAnswer: 4, -5, -24, -116, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -5, -92 in decreasing order.\nAnswer: 2, -2, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -11*b + 9. Calculate the least common multiple of m(-1) and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1782 and 573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 0, -0.939, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 434 and 137550.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.4967 - 0.0033. Which is the nearest to -1?  (a) -0.12  (b) -4  (c) p  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wiwwsdqddww. Give prob of picking 1 i and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d**3 - 2 - 14*d**3 - 3*d**3 + 2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 11  (b) -0.4  (c) -0.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5*k**3 - 4*k**2 + 5. Let c(p) = -4*p**3 + 3*p**2 - 6. Let y(d) = 4*c(d) + 3*g(d). Differentiate y(h) with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + w**2 + 1 + 0*w - 2*w - 31*w**3 + 2*w. Let x be t(-1). Calculate the highest common factor of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 3\/5  (b) -2  (c) -2.073  (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 11*t**2 + 6*t + 3541. Let q(x) = -5*x. Give q(m(b)).\nAnswer: -55*b**2 - 30*b - 17705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9070184 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -516265 - -14?\nAnswer: -516251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898 a factor of 6952374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1568.6 - 1568. Let h = -149.3 + 149. What is the smallest value in r, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 376 - 341 = 0. Solve 5*t + 5*i - 7*i = -20, -m = t - i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/11  (b) -8  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1268 - -634. Let w = -700 - y. Let v be 14\/4 - (4 - 1). What is the nearest to v in -0.5, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -846 != -844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**3 - 4*d**2 - 8*d - 12. Is m(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 45, 118, 233, 396?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 147729401 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l. Let n(c) = 7*c. Let w(r) = -3*n(r) - 2*s(r). Let x(p) be the second derivative of p**3\/6 - 4*p + 19. Determine w(x(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*d**5 + 25*d**4 - 25*d**4)*(1 + 3 - 6).\nAnswer: -44*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 28\/(-8) - 204\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(637)*1 + 4 - (3 + -3*sqrt(637)*1))*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/278 and 73\/138?\nAnswer: 19182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/76 and -81\/72556516.\nAnswer: 72556516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = -41*s + x, 34 + 0 = -4*s + 5*x + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-63)\/126*(-48)\/(-76).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*-1*(3*(sqrt(102) + sqrt(102) + sqrt(102)*-4 + sqrt(102)))\/sqrt(6) + 0)**2*-2 + -4.\nAnswer: -1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 8. Let w(y) = -y**2 + y. Give -b(i) + 2*w(i).\nAnswer: -2*i**2 + i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/6*0)\/(-2). Let k = -3 + q. Let d be k\/((0 + 9)\/(-3)). Which is smaller: -1\/12 or d?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10202210 + -20110?\nAnswer: -11000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20119386*b**2 + 9064444 wrt b?\nAnswer: -40238772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 3:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*h - 2*x = 53*h - 100*h + 10, 25 = 3*h - 5*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 487 - 617?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**3 + 7*p**2 - 16*p - 302. Let h(w) = 2*w**3 - 6*w**2 + 13*w + 301. Determine 4*a(x) + 5*h(x).\nAnswer: 2*x**3 - 2*x**2 + x + 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1005, 1004, 1003?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nonq when four letters picked without replacement from {n: 11, o: 1, q: 5}.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 3066037.71 to the nearest ten thousand.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -4, 2\/9, 22.747, -2\/25 in ascending order.\nAnswer: -4, -0.1, -2\/25, 2\/9, 22.747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -5*k**2 + 14*k + 15. Let u be y(-1). Sort u, 16, -5, 3 in decreasing order.\nAnswer: 16, 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 7:48 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, r: 2, m: 2, i: 8}. What is prob of picking 4 b?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -45 + 2*z**3 - 337*z - 36 + 339*z + 20 as o + g*z**2 + s*z + a*z**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.6043 + 11007.972?\nAnswer: 11029.5763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000034344 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s**2 + 3*s. Suppose 5*b = -5 + 25. Let j(u) = -5*u**2 + 4*u + 1. Let l(a) = b*v(a) - 3*j(a). What is the first derivative of l(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 126 + 2*g - 2*g**2 + 7*g**3 + 125. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 21 - 13*y)*(6 + 7 - 6).\nAnswer: -91*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m - 4. Let v be d(-3). What is the second derivative of -17*n + 0*n**5 - 8*n**v + 25*n + 0*n**5 wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 + 21. Let t be 10*(5 + -1)*(b - -1). Let y = t - -52. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of i - 1 + 0*i**3 - i**2 + 1\/6*i**4. Let f(z) be the first derivative of d(z). Differentiate f(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1075)\/(-35) - 2\/(-7). Let v = -31 + q. Suppose v = -2*b - 7 + 65. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 5) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - -7) + 7 - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -43bb42b + 7?\nAnswer: -43bb424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -a**4\/12 + 3*a**3 + 7*a. Does 17 divide x(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, r: 6}. What is prob of picking 2 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 75774 + -75787.3026. Let u = d + 13.44. Round u to 3 decimal places.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 1211*j**2 - 12*j - 61. Is z(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2746013 and 10232?\nAnswer: 21968104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -33, 44, 124295?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 163922568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, -4, 4, 87.8, 36, 22\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g + 17*g**4 + 0*g**4 - 3*g**4 - 23*g**3 + 2*g**2 - 11*g**4 - 4*g in the form k*g**4 + b + r*g**3 + l*g + o*g**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 441932615 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/9566514 and 93\/14.\nAnswer: 66965598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -7, -3, -1\/203, -6?\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1048 and 41\/1310.\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (95\/165 + 18\/(-270))\/(2\/(-15)). Do -0.3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 64\/3?  (a) 2  (b) -25  (c) -1\/4  (d) -4  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(11)*1 + -3 + sqrt(11)*-1.\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -2*k**3\/3 + k**2\/2 + k. Suppose 2*h = -0*h + 16. Suppose 5*w + h = w. Calculate z(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -206302 + 5?\nAnswer: -206264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -166 - -232. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*z = 15*z + 8. Solve -z - 7 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2538960*a = -2539079*a - 9996 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x + 3. Suppose -44 = -2*d - 2*d. Suppose 0*k = 5*k - 40. Let l(m) = k - m + m + 5*m. Give d*b(q) - 4*l(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2090, -11, -3018 in decreasing order.\nAnswer: -11, -2090, -3018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 611689.\nAnswer: 13, 211, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 32*s - 100. Let i be b(35). Suppose 3*k - 2 = -a + i, -5*a = -4*k + 41. Solve 0 = k*t - 3*g - 29, g + 24 - 1 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*f - 9656 = -7*f - 9*f for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 606 - 326. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -1 - ((-39 - 2) + (513 - 501)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 - -48. Let h be (-1 + 0\/1)*21. Let i be -1 + ((-23)\/h - 0). Which is the fourth smallest value?  (a) 2\/3  (b) -4  (c) i  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(30\/(-8))*15\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**3 - 41*k**2 + 20*k - 20. Determine l(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 188 - -188. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 367829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 2464?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 - c**2 - 3*c**2)*(-c**3 + 4*c**3 + 2*c**3).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(4200\/20)*9\/(-6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 265174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of a**5\/60 - 5*a**4\/8 - 37*a**3\/3 - 11590*a**2 + 2. What is u(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(98) + 1)*5 + sqrt(98) - (sqrt(98) + -1 + sqrt(98) + -3)) + (4 + sqrt(98) + 0 - (sqrt(98) - (-4 + sqrt(98)*-1))))**2*-6.\nAnswer: -5778 - 2268*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 804 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438 is divided by 342.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - 14. Suppose -38 = -4*p + d*p. Suppose -2*h = 2*f - 42, 0*h - h + f = -p. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 6:47 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.3  (b) 3  (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 7*r + 2. Let x be q(-7). Suppose 3*i - h - 11000002 = 5*i, 0 = -h - x. What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 3586*m**2 - 6 - 25 - 17*m - 1482*m**2. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 82.2 and 0.6500185.\nAnswer: 82.8500185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from nrrrerrernrere.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 4:23 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 4 + (0 - 1 + 0)*(2 + 1 - 1) - 1 + 4 + 0)*(z + z**2 - z) - 8 + 8 + 7*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*a + 50*a = 4*u - 292, 2*u + 134 = 2*a. Solve -5*w = t + 14, w + a = 67 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/21 - 309286*w**2\/21.\nAnswer: 2*w**2*(w - 154643)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 9:36 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1392 and 40.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d - 1. What is the units digit of z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -16*d + 119. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30297 - 67939. Let q be y\/(-66) + (-1)\/3. Let v = q - 1486. Find the common denominator of v and -17\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1367*c**2 - 386*c**2 + 2*c**3 + 512*c**2.\nAnswer: 2*c**3 - 1241*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from {x: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*x - d - 45, 3*x + 5*d = 3. Suppose x*t - 70 = t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z**2 + 73*z - 20. Let g be f(-11). Suppose t = g*t - 9177. What is the highest common factor of t and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-84)*15\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**3 + 8\/5*f**2 - 12\/5*f**4 + 0 + 0*f.\nAnswer: -4*f**2*(f - 2)*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i - 390 - 420 = 0. Solve -10*x - i = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 12 = 2. Let w(c) = -3*c + t - 3*c**3 + 0*c + 2*c**3 + 4*c. What is the units digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52ed8 (base 15) to base 12.\nAnswer: -1083b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = s - 4*a, 1 + 12 = 4*s - a. Let r be s\/(4\/(-32)*-4). Let k = -6 + 10. Put k, -4, r in descending order.\nAnswer: r, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39509, 38815, 38121, 37427, 36733?\nAnswer: 36039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3284.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14254189773.200000922 + -14254189658.5. Let u = 1.144 + 113.556. Let h = u - q. What is h rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 5 - 5. Let x(a) = -a**3 - 12*a**2 - 10*a + 11. Let o be x(-11). Suppose o = -0*n + 4*n. Solve i*w + 2*w + 8 = n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132 - 201?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 - 67596*x**2 + 135204*x - 67604.\nAnswer: -4*(x - 1)**2*(x + 16901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-3388))\/((18\/44)\/((-3960)\/(-3630))).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8664742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 76954681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -3*h - 27, 4*p - 8107 + 8139 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000010110101111 + 100001000011?\nAnswer: -10111110101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = w - 3*q, 4*w - 2*w - 286 = 4*q. What is the second derivative of p + 141*p**4 - 5*p - w*p**4 wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -312*n + 95. Calculate the remainder when b(-5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -140*s + 132*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-36)\/(-15 + 27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -31 times 364\nAnswer: -11284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 41 + 342*r + 28 - 69 in the form u + j*r and give j.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1011111 (base 2) to base 14\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 - 9. Suppose 5*w - i = 2*t, -3*t = w - 0*t. List the prime factors of (-4)\/w - (-14)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9376446 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 140237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -s**6 - 20401*s**5 - 12*s**3 + 2*s**2 + 2*s - 21757?\nAnswer: -120*s**3 - 1224060*s**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/((-36)\/10 + 3). Suppose -22*m + y*m = 459. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12*-4*1\/(-12). Suppose b*y + 22 = 5*y. What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of -2\/3*j**4 - 6*j**2 - 14\/3*j**3 + 2\/3*j**6 + 2\/21*j**7 - 32 - j + 6\/5*j**5. Suppose u(m) = 0. Calculate m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - 42*x**2 - 2*x + 108. Let n be t(42). What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, e: 7}. What is prob of sequence ew?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 5:59 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-1))\/(40\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 5 = -7, -13 = -c + 3*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 1753620*z - 5260905.\nAnswer: 5*(z - 3)*(z + 350727)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12100 + 2211211?\nAnswer: 2122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 6*x - 2. What is o(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 210.2 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -0 - 1. Let n(y) = y + 1. Let a be n(d). Let t be (-2)\/(-1)*4\/2. Solve -q - q - 4*p = 6, -a*p - 18 = -t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2057))**2*6*5.\nAnswer: 246840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b + 101. Calculate g(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 5\/56, -0.7?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -67 + 334. Suppose -2*w - 5*y + 707 = -r, 4*y = 5*w - 2501. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y - y + 3*y - 71*y**3.\nAnswer: -71*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 + -1.1. Let u = v - -0.2. What is the smallest value in 0.5, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*f + 11*f - 1869 = -39*f. What is the lowest common multiple of ((-4)\/(-3))\/(4\/198) and f?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {g: 2, s: 5, y: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 14*f**3 - 3*f**2 - 2*f - 117. Let r(l) = 22*l**3 - 5*l**2 - 3*l - 174. Calculate 8*g(b) - 5*r(b).\nAnswer: 2*b**3 + b**2 - b - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (14 + 2 - 14)\/((-22)\/26 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21557242 is divided by 496?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -122763706 + -4?\nAnswer: -122763711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 5*d - 16053, 3*d - 1164 - 9539 = -2*v. List the prime factors of v.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-84))\/((-8)\/(-84)*(-3108)\/56).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 1:13 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/(-21) + 18\/7. Suppose i*x - 12 = -0, y - x = 19. Let b = y + -13. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -12*f**3 - 9*f**2 + 9*f - 9. Let t(h) = 4*h + 5*h**3 - 13 - 4*h**2 + 9 - 11*h**3. What is 9*t(i) - 4*x(i)?\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((-2*sqrt(91)*2)\/(sqrt(252)*2)*3)**2 + -3)*5.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 1\/3  (b) -0.278  (c) 4  (d) -0.4  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((2 - 3) + -1 + 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56 and 151550.\nAnswer: 606200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-4*((sqrt(847) - sqrt(847)*1) + sqrt(847)) + (sqrt(847) - (5 + sqrt(847) + -2 + sqrt(847))))*-6)**2*-4.\nAnswer: -3050100 - 39600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i**2 + 22*i - 6. Let o(n) = -n**5 - 13*n**2 + 45*n - 13. Let a(w) = -13*l(w) + 6*o(w). Find the second derivative of a(g) wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 5*b = -8*f - 208, -5*f + 3*b = -1150. Solve f*j = 238*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1729 + 1728.97. Which is the nearest to 0.1?  (a) 0.1  (b) -1\/6  (c) -0.2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 - 551*v**2 + 148729 - 2*v**3 - 148727.\nAnswer: -2*v**3 - 551*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2972*q = 2969*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, p: 3}. Give prob of sequence kkp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 225 = 4*c. Let s = -725 + 727. Suppose -c = -3*d - s*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 10*o + 1 - 3 - 3*o. Let x(j) = -j. Let h(s) = -s**2 + 8*s - 13. Let n be h(6). Suppose 0*k + 20 = -4*k. Give k*x(t) + n*u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -150, -231, -312, -393?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -2  (c) -2\/11  (d) 1211  (e) -5  (f) 19  (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.07 - -2.67. Which is the third smallest value?  (a) 5  (b) 0.2  (c) q  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6463 = -703*s + 6968 + 3974 + 16611 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-371)\/53*(-6)\/(-1239).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 18*b - 33*b. Let a = 24 - 20. Suppose -14 + 2 = 3*w. Put a, w, -14, b in ascending order.\nAnswer: -14, w, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 0. Suppose -2*c + a*c + 5 = 0. Are -6 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/6)\/(2\/15). Let r be (-4)\/6 + (-16)\/(-6). Let t(i) = -7 - i**r + 0 + 0*i**2 - 7*i. What is t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j + 1. Let q = 87 - 92. Let w(i) = -4*i - 1. What is q*w(n) - 7*a(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 704875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 440*i + 36. Let u(y) = 37*y + 3. Let t(o) = c(o) - 12*u(o). Let w(g) = -5*g - 508. Give w(t(z)).\nAnswer: 20*z - 508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -181 in -1\/26, 1\/4, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 34*s**2 - 19*s + 9. Let u be f(-5). Let j = u + 300. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(6336)*2*3)\/(sqrt(20)\/(sqrt(245) - 1*sqrt(245) - sqrt(5))))**2.\nAnswer: -432*sqrt(11) + 57033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2. Let o(i) = 269*i**3 + y - 2*i - 1 - 1068*i**3. Let v be o(-1). What is v rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01805 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00233 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) + (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0)))*6))**2 - ((sqrt(99)*-2)\/sqrt(9)*3)**2.\nAnswer: 47520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 4*n**2 - 55*n - 28. Calculate i(18).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0756488 rounded to 3 decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 4*s - 39*d + 9 = -176, s + 56 = d + 41 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**7\/35 - l**4\/6 + 5*l**2. Find the second derivative of m(w) wrt w.\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5372 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(sqrt(21)\/(sqrt(63) - sqrt(7))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -20*c**3\/3 + 8*c - 3. Let j(n) = 3*n - 13*n**2 + 5 - 3*n. Let l(w) = -2*w + 21. Let b be l(8). Calculate b*v(i) - 8*j(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g + 1. Let v be p(-4). Suppose -v*i - 2*x = 1087, -186 - 264 = 2*i - 3*x. Let k = i + 406. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1220 + -1411.1. Let y = -30.1 - h. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 0. Suppose d = a*o - 113, -5*d - 8 - 2 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -45*m + 30*m. Let j be (-26)\/(-84) - 2\/6. Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from xiikiikxi.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*n - n + 25*n to t + b*n and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-18) - (329\/(-63) - -1). Let v(z) = z**2 - 5*z. Let g be v(4). Sort -12, g, d, -5 in ascending order.\nAnswer: -12, -5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 4*i + 2*k, 0 = 4*i + k + 20. Which is the closest to 0?  (a) 2\/11  (b) -0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + 3*u - 29 + 35 + 40, -2*l - 7*u - 111 = -8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/6 - 1)\/(9\/(-54)). Let s be 194\/t + 2\/16*-2. Suppose s - 9 = l. Calculate the highest common divisor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*11\/(-187) + 74\/(-238)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 3. Let j(k) = -3*k**2 + 7. Suppose f - 6 = 2*x, -13*f + 16*f = -2*x + 10. Give f*j(z) + 9*y(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -66035238, -66035235, -66035232, -66035229?\n\"Answer: 3*n - 66035241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16026136.\nAnswer: 2, 7, 40883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(2793)*-2 + 3*(3*sqrt(57) + sqrt(57)) + sqrt(57) + sqrt(57))\/(6*5*(sqrt(48) + sqrt(192))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 8) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iqlwlcq. What is prob of sequence iqql?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-2)\/2*(-5)\/35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 8*g**3 + 6*g + 15. Let s(m) = 13*m**2 - 3 + m + m**3 - 13*m**2 + 4. Let h(f) = a(f) - 6*s(f). What is the derivative of h(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45004*m - 17 = 45012*m - 209 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -d + 2, 5*q + 3*d = 73. Suppose q = 3*w - 19. Let u(y) = 12*y - 4. Let i be u(4). What is the highest common divisor of i and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/504968 and -28\/70379915.\nAnswer: 563039320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7648.771 days to seconds.\nAnswer: 660853814.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/2)*u)**45\/(u**(-2))**8 assuming u is positive.\nAnswer: u**(167\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 6*n**2 + 8*n + 8. Let k be t(-6). Let y be k*(24\/10)\/(-3). Suppose 0 = 4*i + 4 - y. What is the remainder when 26 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13466*b - 3042*b = -671*b - 854315 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 0.1, -2\/25, 2\/139, -5, -15\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-10)*(18\/(-27) - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 divided by -97597?\nAnswer: -591\/97597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 - 10. Let d be (-6)\/8 - 105\/20. Let v = d + y. Solve -v*k = k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 8:34 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -93352 + 93472. Calculate the smallest common multiple of h and (-6)\/(-10) + (-324)\/(-10).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 5*s - 2*x = 24, s - 3*x = -28. What is the tens digit of (-1884)\/s + (-9)\/12*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -7*b - 2. List the prime factors of x(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*q - 4 + 154, -12 = -4*q. Suppose 39*h - i*h = -49. Which is the nearest to -2\/7?  (a) -3  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ajja when four letters picked without replacement from jajjajjjjjaajjjaja?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 9 = -0*s. Suppose -s*o = -19*o + 896. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/10*3\/(-2). Suppose -2*t = -n*l + l + 252, -l + 123 = 2*t. Let o = -72 + l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1434 - 4185 + 1439 + 1315 + 144*l.\nAnswer: 144*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 2:25 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20386 + -10017. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/10060 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/19)*t\/t**11)\/(t\/t**(5\/3))**(-47) assuming t is positive.\nAnswer: t**(-2305\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o - 40. Let h be j(-21). Solve -2*d - 10 = -4*l, -h*d - 12 = -0*l - 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 25 = -3*x, -8*k - 3*x = -11*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, t: 6, j: 1, o: 4, w: 4}. Give prob of sequence wot.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 76.3 + -13\nAnswer: 63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 189108198 divided by -18\nAnswer: -10506011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*c + 2)*(1 - 1 + c)*(-41 + 3 - 32)*(-4*c + c + c) + 3*c**2 - 3*c**2 + 4*c**3.\nAnswer: -276*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11388 and 2920.\nAnswer: 113880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5600, 67, -73.\nAnswer: -73, 67, 5600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 250 + -2252\/9. What is the smallest value in -5\/2, 0.4, -2\/5, z?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 493 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -297.989 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 0.10020989.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -4*u + 3. Let i(o) = -47*o + 31. Let b(m) be the first derivative of 16*m**2 - 21*m + 139. Let d(y) = 7*b(y) + 5*i(y). Determine -6*d(s) + 17*n(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11178 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**7\/70 + 7*t**5\/20 + 3*t**4\/4 + t**2 - 365. Find w such that x(w) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 689 divided by 53.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2. Let n(g) = -10009167*g. What is n(y(z))?\nAnswer: -20018334*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2036297?\nAnswer: 31, 65687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(60*-1))\/(-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4\/5 + 34352*j**3\/5 + 298294336*j**2\/5 + 11265257472*j + 537710100480.\nAnswer: (j + 96)**2*(j + 17080)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 3*(sqrt(52)\/(sqrt(4) - -5*sqrt(16)))**2.\nAnswer: 523\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, f: 12, t: 3}. What is prob of sequence uutt?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 8 = -2*d. Let k = 0.04 + -0.44. Which is the second smallest value?  (a) -0.2  (b) d  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58184 - -40065. Let p = q + 18193.29. Let t = 74 - p. Round t to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7011375 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*d**3*i**2 + 1097506*d**3*i + 64*d**3 - d**2 - 3424*d - 1 wrt i?\nAnswer: 8*d**3*i + 1097506*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b**2 + 12*b - 22. What is o(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -222 + 26. Suppose 4*f - 443 = a. What is the remainder when f is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 20 = -7*x. Suppose -7 = 2*u - 1. What is the nearest to u in x, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 - 192 = -7*j. Let t = j + -35. Find the third derivative of -11*m**6 - 29*m**2 - t*m**6 + 47*m**2 wrt m.\nAnswer: -3600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dudu when four letters picked without replacement from mdduxdmdyu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 5913960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -27*p + 15*p - 3 - p**2 + 17*p. Let d be v(1). Let l(u) = 169*u**2 - 2*u + 1. Does 42 divide l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 42.\nAnswer: -19\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1295 or -1296?\nAnswer: -1295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 50*y**2 + 45*y**2 + 3320*y - 6894*y + 5 + 3574*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 3975*o**2 + 2896*o + 15016. Find the first derivative of f(d) wrt d.\nAnswer: 7950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-30)\/(-4)*14\/21. Suppose -2*m + m + 180 = -3*a, j*m - 3*a - 852 = 0. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 13. Let d be s(21). Suppose d*j - 66 = 28*j. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6 - -0.25087751.\nAnswer: -0.34912249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334*j = 1244 + 426. Solve 2*a - j = 3*i + 12, -i - a + 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, -47\/2, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1587160.\nAnswer: 2, 5, 39679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 8*d = -4*d + 580, 0 = -3*v + 3*d + 876. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 + -13)\/(40\/(-44) - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4200 divided by -5?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 + 2*n + 1. Let v be x(-1). Let z be ((-1)\/v)\/(7\/(-6)). Let w(y) = -y + 10. Let k be w(8). Which is the biggest value?  (a) z  (b) -0.1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjaajjjkjjjj. Give prob of sequence jkj.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15070 - -15374. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + 901a9?\nAnswer: 901a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -763\/2 or -1\/2?\nAnswer: -763\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000524 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 0, 6, -11 in decreasing order.\nAnswer: 6, 3, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*h = -0*h + 16555, 0 = 4*i + h - 22079. Suppose -6*y = -i + 1902. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-36*x - 10*x - 34*x + 13*x)*(-3*x**2 + 3*x**2 - x**3) to the form g + b*x**3 + h*x + l*x**4 + u*x**2 and give l.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 127564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7445947 < 7445947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-59)\/(-590) - 2\/(-5))\/(-9 + 8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 244, -14, -7 in increasing order.\nAnswer: -14, -7, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*l = 26831 - 28859 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1759*x = 1712*x - 5264. Is -119 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*y - 22 = -644*y + 5*d, 0 = -3*y + d + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16336921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 76905266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000045444934 to 6 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -256.\nAnswer: -256, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 137279026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3135735043?\nAnswer: 7, 181, 2474929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55 - -46047.\nAnswer: 46102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from jwzwwjwz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10.1112909 and 2?\nAnswer: 20.2225818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 11:37 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 5:00 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27982, -27980, -27978, -27976, -27974?\nAnswer: -27972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*r**3\/11 + 2045016*r**2\/11 - 36811746*r\/11 + 165655044\/11.\nAnswer: 6*(r - 9)**2*(r + 340854)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -17, -12, -7?\n\"Answer: 5*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 18 + (-1 - 13) + 10 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i + 7*i**2 + 6*i**3 - 5*i**3 + 0*i + 4. Let b be a(-7). Suppose 5*u = -4*m + 2*m + 9, 3*m = -u + 7. What is the highest common divisor of u and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 449341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i - 2*i + 8. Suppose i*m - 5 - 19 = 0. Calculate the remainder when 2\/(-7) - 484\/(-28) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z. Let d(n) = 232*n**2 - 10*n. Let r(c) = -233*c**2 + 8*c + 1. Let p(o) = -4*d(o) - 5*r(o). Calculate v(p(k)).\nAnswer: 237*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -4 - (4 + -9 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n**3 - 369*n**2 + 551*n - 401. Determine g(183).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**4 - 6872*j**3 + 28045*j**2.\nAnswer: 24*j - 41232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 35 - 1 = -5*f - 12, 12*f + 42 = 23*f - 3*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.13749 + 1.3192. Round u to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 8 - 2. Let u(f) = -7*f + 4. Is u(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*a = -18, t - 3*a = -2*a - 4. Let u be 3*t\/3*41. Let w = -57 - u. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v + 280 = 1120. Let r = v + 24. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 86511 or -2122?\nAnswer: -2122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 154606.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17819*u**3 - 17707*u**3 - 24*u**2 + 22*u**2.\nAnswer: 112*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**3 - h**2 + 2. Let f(m) = -11*m**3 + 2*m**2 - 5. Let c(n) = -n + 3. Suppose 0 = 2*w - 20 + 8. Let o be c(w). Calculate o*f(q) - 7*v(q).\nAnswer: -2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 873 is divided by 4400\/(-66)*(-81)\/36?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 328 - 327. Which is the third biggest value?  (a) h  (b) -3\/5  (c) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*d - 24 = 0. Suppose -10*k + 14962 = -d*k. Suppose 0 = -5*x - 2857481 + k. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34670, -138725, -312156, -554969, -867170, -1248765, -1699760?\nAnswer: -2220161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of s**6\/15 - 7*s**5\/20 + s**2. Find the third derivative of c(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 678750 by 4525.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*q**3 + 2463195*q - 2463195*q.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, r: 3, x: 1, m: 2, t: 9, u: 2}. What is prob of picking 1 t and 1 x?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/28 - 111992\/(-28). What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-21 - -28) + 20\/(-3). Let a(h) be the first derivative of -j*h**3 + 1 - 1\/2*h + 3\/4*h**2. Determine o so that a(o) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*w = -34*w - 103*w + 1810 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 - 10*c + 23. Give h(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 16*u**2 + 12*u - 21. Let p be w(-15). Solve 9 = -3*j + p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2268*y + 2086*y + 14378 = 0 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -124 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/2 + 6612\/24. Let x = 36 + h. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 3*b + 0 = 1, -4*p + 3*b = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l\/(l\/(l*l**25)*l))\/l))\/l*l\/((l**(3\/8)\/l)\/l))\/(l*l\/l**(-1\/16)*l*l\/l**(3\/5)) assuming l is positive.\nAnswer: l**(-1987\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-25 + (-13 - (-111 - 0)))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 5*x + 11. Let h be l(-5). Suppose -5*b = -5, u + h*b - 9 = 7*b. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 78, 153, 224, 291?\n\"Answer: -2*m**2 + 81*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {c: 1, e: 2, x: 5, j: 2, q: 4, n: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-107019)\/1269*(-6)\/22.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.033, -0.05, 18, -2\/5, 1, 3, 10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*m + 5*m + 22*m - 7*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1500*x - 1499*x - 48151 = -5*o, 5*x - 28895 = -3*o. Does 107 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1540)\/112 + 4 + 10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13\/45 - -4\/45. Let d be ((-6)\/(-56))\/(855\/(-1995)). What is the nearest to -0.2 in -14, 0, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - 0 - 2051\/(-908). Let q = 2\/227 - w. Let t = 17330 - 121313\/7. What is the smallest value in -0.4, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7053*u**4 + 4*u**3 - 59092 wrt u?\nAnswer: 28212*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27255, -108201, -243111, -431985, -674823?\nAnswer: -971625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*i - 6*i + 20, 16 = 3*p + 4*i. Suppose f + 3 = 0, 74 = p*n - 3*f + f. What is the remainder when 182 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -a93?\nAnswer: -a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.77 less than -224576?\nAnswer: -224576.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, d: 1, h: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -68848 + 68846.299935. Let u = j - -1.7. What is u rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39*46\/(-9867)*44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 4*f**3\/7 + 4140060*f**2\/7 + 1071258120252*f\/7 + 1071253980196\/7 = 0.\nAnswer: -517507, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/3)*p**6)\/((p\/p**2)\/p**(5\/6)))**(3\/5))**(-17) assuming p is positive.\nAnswer: p**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*f + 49*f = 1120. Suppose -316 = 2*r - p - 0*p, -3*r - 3*p - 465 = 0. Let h = f + r. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 484725797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -35?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 303*a - 23. Let u(z) = 145*z - 11. Calculate 6*o(t) - 13*u(t).\nAnswer: -67*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*m - 4. Let r(f) = m*f + 24*f + 9*f. Let q(d) = -5*d**2 + 15*d**2 + 3*d**2 - 10*d**2 - 4*d**2. Calculate r(q(k)).\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of q + 5\/6*q**3 - 1 - 7\/4*q**2. Factor i(g).\nAnswer: (g - 1)*(5*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*r + 41*r + 5*j - 363029 = 0, -2*r + j + 242002 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, -0.048153, 2\/5.\nAnswer: -1\/9, -0.048153, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5488 and 64440.\nAnswer: 44205840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 15, 6*y + 4*i = y - 65. Let a(u) = 26*u - 14. Let x(n) = -9*n + 5. Calculate y*x(d) - 6*a(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 16b77 (base 13) to base 8\nAnswer: 125264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18668*c**3 + 37362*c**3 - 18819*c**3.\nAnswer: -125*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 5*n - 71, 5*n = 3*r - r - 14. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - -0.6. Let j = 8.8 - a. Is j equal to -13\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 divided by 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2386.5 - -471.753.\nAnswer: 2858.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - 3.45.\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 13 + (10 - 1 - ((14 - 33) + 28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 + 7 = 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 58580165 and 0.00562.\nAnswer: 58580165.00562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**3 - 3*f**2 - 2*f - 1. Let w(s) = -2 + 29 + 2*s + 6*s**3 + 4*s**2 - 25. Determine -4*v(p) - 3*w(p).\nAnswer: 2*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, n: 4}. What is prob of picking 1 n and 3 l?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*m**4 - 40*m**4 - 23*m - 3*m**2 - 138*m**4 wrt m.\nAnswer: -4008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 3*t + 3*u - 323, t + 3*u - 131 = 0. Let o = -71 + t. Suppose -2*h + 245 = -o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-26 + 50 + 30)*(3*v - v + 4*v) - v + 0 + 0 as b*v + j and give b.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fqpi when four letters picked without replacement from {p: 3, q: 6, z: 4, f: 2, i: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of 7*l**5\/120 + l**4\/36 - 7*l**3\/36 - l**2\/6 - 2*l - 34. Suppose f(y) = 0. What is y?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91 + 7 = -5*i + 4*k, 543*k = -2*i + 542*k - 21 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = 5*i - 176 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q = -218 + 198 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 4*h + 7. Let v be m(-5). Let n(p) = -5*p + 1 - 1 - 5*p**2 + 6*p**v. Let f be n(5). Is f less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1377) + -2*(0 + sqrt(1377)) - sqrt(1377))**2 + -2 + (sqrt(1377) - (sqrt(1377) - (-3 + sqrt(1377)) - sqrt(1377)))**2).\nAnswer: -324*sqrt(17) + 33069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 219137329 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -87*j - 77*j - j + 12*j - 349. Let y be g(-6). What is y rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0. Suppose 0 = 2*x + 14 - 24. Is x equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 955056838 - 955056838 + 89*w**2.\nAnswer: 89*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34160 and 5864845?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1113.87438343 - -0.18691657. Let f = t - 1114. What is f rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/10)\/((-2436)\/2030)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -874*f**4 + 2*f**2*p - 39451*p + 1 wrt f?\nAnswer: -3496*f**3 + 4*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svsvsssivssvvsvsff. What is prob of sequence ffs?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 692828263.\nAnswer: 692828263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1519321\/42 + 36178. Let r = 23\/6 - u. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3630 - -3876. Calculate the smallest common multiple of d and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-1)*q**(-9)\/q)**(-20)\/(q*q*q**4\/q*q*q*q*((q\/(q\/(q\/(q*q\/q**(4\/9)*q))))\/q)\/q*q*q*q\/(q**(1\/7)\/q)*q\/q**8) assuming q is positive.\nAnswer: q**(9998\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (3 - -1 - (-659 - -685)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 3\/5, 75, 2\/15, 1261\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13374 and -0.18.\nAnswer: -2407.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3864.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/4)\/((-4)\/(-144)*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z - 15. Let h(c) = c - 8. Determine -5*h(q) + 3*w(q).\nAnswer: 4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30 + 80 + 9)*(2*a + 4*a - 4*a)*((5 - 2 - 1)*(0 + 1 + 1) + 0 + 0 + 6) to the form t*a + p and give t.\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01351 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/180530517 and 187\/711030.\nAnswer: 1805305170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11839\/5 + -2384. Let y = d - -16. Suppose -3*f - 14 = 4*h + 11, 4*f = 3*h. Put y, 1\/5, f in ascending order.\nAnswer: f, y, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-5)\/(a**6\/a)*(a*(((a\/((a*a*a\/(a\/a**7*a))\/a)*a)\/a)\/a)\/a)\/a**(-6) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9052 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2491474 is divided by 162?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30)\/5 + 6\/2. Is 1*(d\/1 + 18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 15951954421983.\nAnswer: 15951954421982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2.329 times 18527\nAnswer: -43149.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b. Let c(m) = -96*m - 17. Let p(i) = -i - 9. Let d(h) = c(h) - 2*p(h). Give d(w(q)).\nAnswer: -282*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*k**2 - 97*k**3 + 29*k - 4*k**2 - 48*k + 24*k in the form s*k**2 + g + c*k**3 + a*k and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3668.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13 + 32\/48 + 11\/(-3). Suppose -o*b + 6996 = -6*b. Let h = b - -98. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l + 1. Let h be u(-2). Let c = -10 - h. Suppose -80 = -c*t - 2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p + 4. Let r be t(-6). What are the prime factors of r\/(-3) + (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -507 - -862. Suppose 6 = p - y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + 30 + (1 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(1\/2)\/i*i**(-3))**(-2\/35)*(i**(-4)*i**5)**12 assuming i is positive.\nAnswer: i**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - -18 - (19604\/456 - 17)?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -24 + 24 + 2*b. Let t(o) = 7*o. Determine t(d(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*u + 516 = 96 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 89213381623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 2:05 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*q - 4. Suppose -96 = -q*u + 2*u. Calculate the least common multiple of u and 44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*b**2 + b**2 + 3*b**2 + (-2 + 0 + 1)*(-2*b**2 - b + b) - 2*b**2 + b**2 + 3*b**2 - 2*b**2 + b**2 + 3*b**2)*(20*b**3 + 3*b**3 + 6*b**3).\nAnswer: 87*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-28)*-892481)\/61644. Let x = u + -2\/9807. Calculate the common denominator of -46 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4535118.\nAnswer: 2, 3, 7, 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2*l = -173, -23*l = 3*t - 19*l - 101. Suppose 2*f = t + 119. Calculate the smallest common multiple of 70 and f.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 160 = -114*o + 113*o, -3*g - 4*o = 108 + 11 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**2 - 815*b - 14300 = 0. What is b?\nAnswer: -143, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-5)*i*i\/(i*(i**4*i)\/i*i*i)*i*i)\/(i**(3\/7))**(-22) assuming i is positive.\nAnswer: i**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 6*f - 9. Let i be n(-9). Let q be i\/(-2)*(-56)\/21. Let y be q\/(-91) + (1 - 2). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21447360 + 74566804 = 2*f. Suppose -10614722 = -15*s - f. Round s to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g - 12 = -19*g. Solve -2*o - 2 - g = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - -1 - (-1092)\/21. What is the greatest common divisor of i and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-1*sqrt(2)*-1*5 + (sqrt(200) + -1 + -2*sqrt(200) + sqrt(200) - (0 + sqrt(200) + 1 + sqrt(200)))**2.\nAnswer: 55*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 9*u**3 + 5*u**2 + 3*u. Let k(l) = -10*l**3 - 6*l**2 - 2*l. What is -6*j(n) - 5*k(n)?\nAnswer: -4*n**3 - 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jtixxqxixxixttq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -2*p - 1\/2*p**2 - 2 + 1\/4*p**4 + 1\/3*p**3. Calculate g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 484.1, -4\/9, -0.2, 3\/7, -0.02?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**4 + 57*c**3 - 17910*c**2 - 637728*c + 1346592 = 0. What is c?\nAnswer: -52, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1090996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) -0.1  (c) -3\/11  (d) 484  (e) 7  (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + o + 3*o + (5 - 2 - 4)*(-5*o - 6*o + 2*o) + 2*o - 3*o + 2*o)*(28*o**2 - 28*o**2 + o**4).\nAnswer: 11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285126279.\nAnswer: 3, 95042093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -112659 to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 5*r - 6, n + 3*n + 2*r - 6 = 0. Let g be 3 + 0 + 0 + 126\/n. Let t = -33 + g. Calculate the remainder when 45 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 133, 6, -1, -79, -2, -15 in decreasing order.\nAnswer: 133, 6, -1, -2, -15, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 14*s - 72. Let k be j(6). Suppose 11*u = k*u - 49. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1673.65521 milliseconds?\nAnswer: 0.000019371009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.2145 and 0.14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*p**3 + 2*p**2 - 11*p**3 + 13*p**3 - 2*p**2 + 2*p**2 - 26 - 3*p**4 wrt p.\nAnswer: -72*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 84*p - 1540. What is o(-59)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-2)\/(-4))\/(((-855)\/38)\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, a: 3}. What is prob of picking 2 a and 1 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000065196 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -42, 4, -1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.1187 times 0.9\nAnswer: -0.10683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**2 + 0*m + 0*m)*(8 - 1 - 3) + (0*m - m + 0*m)*(-1 + m + 1).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1004289 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1333272.9 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1278 + -1286. Let z(g) = g + 6. Give z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -55, -54, -53, -52, -51?\n\"Answer: x - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.11132 rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -3*d + 83. Solve -23 = 4*k - d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 175572867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3050074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3350 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -3 + (14 + -4 - 8) - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + 4*z + 3. Let f be b(-3). Let h = f - -7. What is the lowest common multiple of 20 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -3.1. Let j = 3.1 + b. Put j, -0.2, 0 in decreasing order.\nAnswer: j, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1714, 6892, 15520, 27598, 43126, 62104?\nAnswer: 84532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 9) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2. Let b be n(1). Solve 4*l = b + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 2476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*p - 103*p - 71*p + 204*p.\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 429535, 429553, 429601, 429691, 429835, 430045?\n\"Answer: 2*a**3 + 3*a**2 - 5*a + 429535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14427, -30310, -46193?\nAnswer: -62076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 6, 0*f - 4*b = -2*f + 14. Let p = 3 + f. Let w be 4 + -1 - 31\/(465\/90). Put w, -32, p in descending order.\nAnswer: p, w, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 33. Suppose -s = 2*k - 7*k. Suppose -2*z - k*z = -40. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1173*b - 260 - 662 + 4229*b + 168 with respect to b.\nAnswer: 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -3 - 4 - (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 2\/11  (c) 0.15  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1067 and 1649?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 198 and 12 - 18962\/(-133) - (-4)\/(-7)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 11:38 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -109 in 3, -0.5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.809652 millimeters in micrometers?\nAnswer: 4809.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7054087081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -638 - -645. What is the remainder when 74 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 36*b**3 + 7*b**2 - 3*b - 5. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -5*z + 2 - 2*z**2 + 0*z**2 + 3*z**2. Let x(w) = -w**2 - 13*w - 16. Let b be x(-11). Give k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220021220102 (base 3) in base 12?\nAnswer: 1b0862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1131 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2117*s - 3*q = -2119*s - 36, 3*s + 54 = 5*q for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -657977*r + 657990*r = -208 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.76379168 rounded to three decimal places?\nAnswer: -0.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 7 - (2 - 3) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1339262261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -28*x**2 + 154*x - 1. Let v(j) = -82*j. Give v(c(z)).\nAnswer: 2296*z**2 - 12628*z + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 486 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 0 + (-2 - -2). Suppose 5*v - 115 = 5*z - y*z, -v = -3*z - 75. Let o = z - -38. What is the highest common factor of 120 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87845704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 d when four letters picked without replacement from dddddddidddiddiddd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348099 - -0.12.\nAnswer: -348098.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 7:06 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of b**4\/6 - 5*b**3\/6 - 7*b**2 - 7*b. Let w be y(6). What is the lowest common multiple of 11 and 16 + (3 - w\/4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-2) - 5\/(-2). Suppose 4*j + 5*c = 28, 0*c + 2 = 5*j - n*c. Suppose -j*r = r - 45. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 553 - 551. What is the biggest value in 5, 3, u, -37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4*(-1)\/(2\/2). Let b be (0 - (-2)\/y)*4. Solve 3*f + b = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, b: 4, y: 1, g: 2, n: 1}. What is prob of picking 1 n, 1 g, and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -3*v**2\/2 - 17*v - 5. Let u be z(-5). What is the units digit of 40\/(-30)*21\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 20. Calculate the common denominator of -149 + 138 - (-6)\/(-20) and (-66)\/u - (-3)\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2140471 is divided by 37552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1054128661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 21 + (-21 - -4) + (30 + 2 - -2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, w: 1, v: 1, m: 2, u: 2}. Give prob of picking 1 v and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -43  (b) 41  (c) -3\/5  (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1588, -1586, -1580, -1570, -1556?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (-1)\/(-5) - 59\/10*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3852)\/428*((-2)\/6)\/((-1)\/9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o**3 - 4*o**2 + 5*o - 14. Calculate m(-5).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 2*h - 26 = -h, 0 = -4*l - h + 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -3, -15, 0.4, 5\/18, 0.5 in ascending order.\nAnswer: -19, -15, -3, 5\/18, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 2*p - 3. Suppose -2*t = -0*t - 8. Let r be i(t). Let x = -6 - -10. Solve -z + 1 + 10 = 4*g, x*z = -r*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103700 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 6\/7 and 8818 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4050 - 2308. What are the prime factors of g?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 7, 1, -11, -29?\n\"Answer: -3*q**2 + 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 44712, 1\/6, 1, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-6))\/(7\/(-14))*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -835*y**2 - 54*y + 1299. Let f(j) = 1044*j**2 + 68*j - 1624. Let g(t) = 11*f(t) + 14*x(t). Differentiate g(o) with respect to o.\nAnswer: -412*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2164 greater than or equal to 205263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 127973\nAnswer: 639865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1653, 5, -3, -4, -2 in increasing order.\nAnswer: -4, -3, -2, 5, 1653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 + -1220?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -880 divided by -220?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/3 - 101*t\/3 + 140.\nAnswer: -(t - 4)*(t + 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1368085.8 rounded to the nearest one hundred?\nAnswer: -1368100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 2021?\nAnswer: 201a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10587405.\nAnswer: 3, 5, 705827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*-1*6 + sqrt(66) + sqrt(66))\/((sqrt(162)\/sqrt(3))\/sqrt(9) + sqrt(6)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (2 - -1) + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, r: 7}. What is prob of sequence rrrj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/30 - 6\/(-12). What is the nearest to -2 in -3, 1, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1876 divided by 28.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, s: 7}. What is prob of sequence ss?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7099, 7139, 7261, 7507, 7919, 8539?\n\"Answer: 7*b**3 - b**2 - 6*b + 7099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15744192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 16*a**2 - 17*a + 29. Suppose -5*u + 25 = 3*n, -7*u + 25 = -2*u + 2*n. Suppose -6*w + u*w - 17 = 0. What is the tens digit of v(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 159354 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (13 - -1) - (14 + (-21 - -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 3*n - 101 = 3*k - 133, 105*k - 4*n + 452 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83506.3nm to meters.\nAnswer: 0.0000835063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-3)\/6) - -4. Suppose 0 = -k*n + 5*n. Is n greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-3))\/d)\/d**8 assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*s + 2*s = 32, 0 = -2*s + 10. Is z\/(-12)*-6 - -1496 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3\/2 + 12*q**2 + 111*q\/2 - 66.\nAnswer: -3*(q - 11)*(q - 1)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**2*h*p*s - 26*g**2*p**3*s - g**2*p**3 + g*h*p**3*s + 5*h*p**3*s + p*s wrt h.\nAnswer: g**2*p*s + g*p**3*s + 5*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - 2. Let t be (6\/v)\/(4\/(-20)*1). Let u(d) = 8*d**2 - 3*d. Give u(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kttn when four letters picked without replacement from nnntnktnnkttnknt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3118209550 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: Let g be -11 - (-17 - -5 - 4). Solve 371 = g*p + 381 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -10 - (-3 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71433, 71741, 72567, 74169, 76805?\nAnswer: 80733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 - -66. Suppose -42*i = -x*i - 18. Which is the third smallest value?  (a) -1  (b) i  (c) -3  (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 0*u + 0*u)*(-4*u**3 - 2*u**3 + 3*u**3)*(5*u - 8*u - 4*u).\nAnswer: 42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -411 - -446. Let f(a) = 2*a**2 - y*a**2 + 4*a**2. Let w(b) = 5*b**2. What is f(w(o))?\nAnswer: -725*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 163 + -199. Put l, 5, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c. Let t(i) = -i + 4. Let z(w) = -3*w + 11. Let a(d) = -11*t(d) + 4*z(d). Calculate m(a(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - 4*u + 4*u)*(10*u + 5*u**2 - 10*u + (0*u**2 - u**2 - u**2)*(-1 + 2 - 3))*(-43 + 3*u + 43).\nAnswer: 54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 4, t: 2, g: 2, l: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*s + 24*s**2 + 4*s + 13*s - 39*s**3 wrt s?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 18 - 8. Let l = z + 27\/2. Suppose 0 = -12*v + 9910 - 10042. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 448 and 622090.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 s, and 1 h when three letters picked without replacement from hzzszhsshhshhh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/27*14\/455.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 297811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2041802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1 + sqrt(20) - -6*-2*sqrt(5)*-2.\nAnswer: -2 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74212 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-15)*f)\/f)\/f**(-20) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/10 and -139\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 252 + -256 - (-1)\/(1\/132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 8 = 2*q, -2*a - 4*q + 2034 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148706889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 588 divided by -44.\nAnswer: -147\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(-4*sqrt(700)).\nAnswer: -sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 2*u + (-5*u + 5*u + 2*u)*(15 + 35 + 89) to x*u + q and give x.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/17)*d)\/(d*d**(-1\/3)*d)*d*d**(-1)*((d*d\/(d*d**(-2\/3)*d*d))\/d*d*d)\/d*(d*d**(-9)*d*d**0)\/((d**(5\/2)\/d)\/d*d*d**0) assuming d is positive.\nAnswer: d**(-293\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25665917 is divided by 1120?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1)\/((-171)\/(-18)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = 46*v + 216 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13\/4 - 19\/4. Let r(d) = 8*d**2 + 4*d - 9*d**2 - 5 - 10*d. Let g be r(-5). What is the closest to -1 in o, -0.2, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*z - 5741 + 5741)*(-z - 2*z + 5*z).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -1\/7*z**3 - 2 - 1\/21*z**4 - 3*z**2 + 0*z - 1\/210*z**5. Let o(g) be the second derivative of q(g). Factor o(c).\nAnswer: -2*(c + 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -9. Suppose 2*u + 5*k + 1 = 0, x = 2*u - k - 17. What is the derivative of 2*z**3 + 55 - 57 - u*z**3 wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74\/176 + (-38)\/(-304)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 279 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 867.97 and -0.5?\nAnswer: -433.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 87849*i - 3 + 2.\nAnswer: -87849*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p, 2*p - 20 = 5*g - 110. Suppose -11*n + 44 = -0*n. Suppose 23 = 4*m + k, 2*k = m + n*m - 19. Solve -2*f + 3 - g = m*v, 5*v + 4*f = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7806?\nAnswer: 2, 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -22*i + 5. Let w(s) = 2*s**2. What is j(w(t))?\nAnswer: -44*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -143*v + 41*v - 44*v - 11680 for v.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) - 4*sqrt(156)*-4)))\/(sqrt(588)*-1).\nAnswer: -17*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/4*(-1)\/20.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 + 2)*(-240*a + 486*a - 250*a - 3) to the form j*a + k and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39763 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/3, -3, 0.1, -41\/26 in increasing order.\nAnswer: -3, -41\/26, 0.1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express i**3 + 2*i**3 - i**3 + (0*i + 0*i + 2*i)*(-3 + 3 - 2*i**2) + 0*i**3 - 2*i**3 + 0*i**3 as x*i**2 + w*i**3 + v*i + h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*n + 3 = 0, -4*n + 8 = -5*t + 29. Suppose 29*u - 140 = t. Calculate the lowest common multiple of 36 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 9*a**2 + 4*a**2 - 11*a**2. Let v(t) = -3*t**2 + 2*t - 2. Let y(j) = -j**2 + j - 1. Let k(b) = -v(b) + 2*y(b). Calculate k(g(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246202319 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -387*j - 53 + 2*j**3 + 387*j to g*j**3 + w + q*j + c*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*h - 58*h - 3*c + 138 = 0, 4*h - 2 = -2*c + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 188.7 - 189. Let r be -1 + ((-1)\/(-3))\/1. Which is the second smallest value?  (a) r  (b) 2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 73 = -5*y, -4*r + 3*y - 83 = -2. Let m be (-16)\/33 - r\/36. Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 + 100 = 5*w + 4*l, 169 = 5*w + l. Suppose 12 = 2*a - a + 5*r, -a + 2*r = -w. Let d = 350\/13 - a. Are -1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64186659?\nAnswer: 3, 43, 165857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -23*p**3 - 1142*p**2 - 1095*p - 2. Let n(a) = 70*a**3 + 3439*a**2 + 3285*a + 7. Let i(b) = -2*n(b) - 7*v(b). Factor i(u).\nAnswer: 3*u*(u + 1)*(7*u + 365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 844\/15 + -5863\/105. Put 3\/4, a, 0, 554, 5 in ascending order.\nAnswer: 0, a, 3\/4, 5, 554","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 5, 3, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 - (-7)\/(-20)*174\/28 and -67\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 323 - 347 = -2*r. Solve 1 = -s + 5*a, 3*s - 12 = -s + r*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2670580 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-2 + (-8)\/(-8). Find the common denominator of (-1138)\/468 - f\/((-18)\/4) and 17\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Suppose -g*f - 5*v + 1 = 24, f + 4*v = -13. Let o be (0 + -3)*(-15)\/f. Sort o, -2, 1 in increasing order.\nAnswer: o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 375, 7, 8 in ascending order.\nAnswer: 4, 7, 8, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1783, -14106, -47551, -112678, -220047, -380218, -603751?\nAnswer: -901206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/2  (b) -1  (c) -0.4  (d) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.45 times 0.42163?\nAnswer: 0.6113635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 751213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -33*m + 24*m + 0 - 9*m**2 - m**3 + 1. Let s be v(-8). Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49347 rounded to the nearest one hundred?\nAnswer: 49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -2177.\nAnswer: 2\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -0.009042?\nAnswer: -0.0027126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -3*q - 146 - 36, -c - q + 30 = 0. Let v be (-21)\/(-7) + c + 0. What is the derivative of v - 21 - 2 - 17*b wrt b?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 163.38 + -162.38. Which is the third biggest value?  (a) -27  (b) r  (c) -3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 6*h - h. Let k(r) = 1 + 3*r**2 + r - r**h + 0 - 3*r. Let n = -2 + 5. What is k(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*h + 68*h**2 + h - 43*h + 1 + (2*h + 2*h - 2*h)*(0*h + h + h) in the form c*h + b + n*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - (3 - 4)) + (6 - (-12 - -17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2 + 4*j - 8. Calculate x(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30563 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1376172, 1376173, 1376174, 1376175, 1376176?\n\"Answer: t + 1376171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*b**3 - 269*b + 234*b + 35*b.\nAnswer: -62*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-657)\/6*(-7)\/((-14)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/9073 + 335199\/2277323. Calculate the common denominator of -43\/2510 and j.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -2  (c) 3\/4  (d) -115221  (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23261 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*(-4*2*sqrt(1100) + sqrt(1100) - (-4 + 1*sqrt(1100)))*5)**2.\nAnswer: -12800*sqrt(11) + 1760256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 6*c + 193. Determine z(-36).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 23, 41, 85, 167, 299, 493?\n\"Answer: 2*t**3 + t**2 + t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 794002888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5328 or -218408\/41?\nAnswer: -218408\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -5*n. Let l(j) = 2*j - j + 0*j + j. Give u(l(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 560 = 5*c - 3*p, 3*c - p - 63 - 269 = 0. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -10\/9, 2030, -8.1?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 3*n**2 - 18*n + 2627. Let z(m) = 4*m**2. Calculate d(z(j)).\nAnswer: 24*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.44 - 2.84. Which is the fourth smallest value?  (a) 169  (b) -2  (c) m  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16929.7 + 16930. Which is the nearest to 13?  (a) o  (b) 1  (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/1)\/432)\/((-44)\/(-66))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 22332101 (base 5) to base 16\nAnswer: 30972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10411301 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -15. Suppose -12 = -x*y - 2*y. Let w = y + -11. Which is greater: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 - 40. Suppose -2*m + 2461 = -d, -4*m + m + 2*d + 3691 = b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -1139*u - 171. Let d be x(-32). Let f = -16858 + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 3:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 + 8*m - 24. Let w be o(2). Sort 4, -4, 366, w in descending order.\nAnswer: 366, 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-18)\/81 + 7\/(-9) - -45 and 4392\/100 + 2\/25.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1883 divided by 9909\nAnswer: 1883\/9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 + -22. Solve -l = -4*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -86 in 2\/21, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, y: 4, f: 13}. Give prob of picking 2 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43543589*i**5 + 25948129*i wrt i?\nAnswer: 870871780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t + 25*t - 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/42*(-24)\/(-156)*13\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6153 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 9071, 36301, 81695, 145253, 226975, 326861, 444911?\n\"Answer: 9082*d**2 - 16*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.181 + 0.069. Let s = -0.71 + n. Let j = s + 0.26. What is the nearest to -0.1 in -0.9, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**3 - 2*q**3 - 3*q**3 + 0*q**3 + 63*q**3 - 114*q**3 + (2*q - q - 2*q)*(0*q**2 + 2*q**2 + q**2).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11044 - -38055. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -1. Let t = -107 - -111. Which is the smallest value?  (a) -2  (b) t  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5428*s - 143. What are the prime factors of u(1)?\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7688 by 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {c: 7, f: 2, p: 1, e: 9}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 300915868157 plus -0.1?\nAnswer: 300915868156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 7:25 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/71100 and 31\/135090?\nAnswer: 1350900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 3:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6c98d + 12?\nAnswer: -6c97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 150298628?\nAnswer: -150298627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 166*a**2 - 450*a + 3. List the prime factors of x(-6).\nAnswer: 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4119754348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1222211021 + 10012201?\nAnswer: 2010000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2617.91853 rounded to 0 decimal places?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -62.62 and -4359.\nAnswer: 272960.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2*b**2 - 2 + 2 + 2*b in the form s*b + y*b**2 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 14*t + 28. Let i be k(12). Suppose -6*h + i = 4. Solve -1 = o - h*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2771657811 to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4 + 1*sqrt(20) + (1*sqrt(60)*-2)\/(sqrt(132)\/(sqrt(22)\/sqrt(2))))*-5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-3) - 44\/(-3)) + -3. Suppose -5*p - 4*j + 5*j = 23, p + 5*j = f. Let d(g) be the first derivative of g**3\/3 + 2*g**2 + 6*g - 1. Calculate d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 499 - -478. What are the prime factors of k?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -28. Let q = t - -13. Let w = q + -6. Which is the third smallest value?  (a) -0.3  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) -0.1  (c) -136  (d) 1\/952\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 2. Let s(q) = 11*q**3 - 2*q + 9*q**g - 19*q**3 - 1. Let v(n) = n**3 - n - 1. Give -s(a) + 2*v(a).\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -74\/9 and -4 + ((-6223)\/(-658) - 6).\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - a - 3*a = 7, 3*v + 5*a + 12 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*s = -o, -s + 5 = 0. Suppose 3*c - 2*m - 220 = 0, c - 248 = -2*c - o*m. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4050) - -5*sqrt(4050))\/(sqrt(490)*-2)*3.\nAnswer: -81*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 16*d**2 + 12900*d + 168274. Calculate w(-13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h - 188 = -23. Suppose 17*j = h*j + 24. Let z be (-4)\/(-15) + (-4)\/(-10). Which is the third smallest value?  (a) -0.5  (b) j  (c) z  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wyzz when four letters picked without replacement from {y: 3, w: 1, o: 1, z: 9, p: 1, t: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 37 = 133. Let k be -5*(2 + r\/(-10)). Let z be (1\/k + 0)*0. Solve 5*b + s + 24 = z, -2*b + 2*s = -0*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39748556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38307174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 2:24 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z**2 - 6134*z + 12246*z - 6112*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 2*y = -8, 5*w = -20*y + 21*y - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280 and 14172520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - f + 52. Let t = 15 - f. Let q be 1\/t - (-5)\/2. Solve 5*u = q*z + 1, 5*z - z + 6 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 11*f**8\/336 + f**5\/6 + 10*f**2 - 15. Let d(z) be the second derivative of k(z). Find the third derivative of d(y) wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.68387 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, n: 2, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o**3 - 2*o**2 - 1. Let g be c(-1). Let v = 3 - g. Solve 3*p - 5*i - 11 = -v*i, -p = 3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58530863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23711436 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 57700372 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence js when two letters picked without replacement from {s: 1, j: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, h: 8}. Give prob of picking 1 t and 1 h.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - 639\/(-36)) + -12. Suppose -4*h + 2*v = -6, -2*h + 3*v = -v. Solve -z*t**h - 9\/4*t - 3\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uurtrttohbtu. What is prob of sequence rhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101249767?\nAnswer: 101249767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 27, -2, 1 in increasing order.\nAnswer: -2, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10471361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 92583307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 0*g - 12*g + g. Let w(o) = o**3 - 11*o**2 - 11*o - 10. Let d be w(12). Let i(c) = -3 - 4*c + d*c + 3. Calculate i(h(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*y = -116*y + 5. Suppose -2 = d + 3*f + 4, -5*d - y*f - 10 = 0. Is d != -10\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xzxx when four letters picked without replacement from zzxxxzzz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 - 21. Suppose 4*s - 16 = -k*u, -6*s = -3*s - 2*u - 22. Suppose 4*h - y = -s*y + 472, 357 = 3*h + 3*y. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417630150 rounded to the nearest one million?\nAnswer: 418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(2232\/31)*-14*3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 159377 and 159378 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 848 is divided by 173.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 0 + 0 + 5 + h + 2*h**2 - 6. Let y be ((-1)\/4)\/((-3)\/(-4) - 1). Let d be z(y). Solve -d*q + 4*o + 11 = -3*q, 17 = 2*q - 5*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dldvlvldd. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 23*r - 56980000. Round r to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -d85?\nAnswer: -d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*o**3 - 48*o**3 - 40*o**3.\nAnswer: -147*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-15))\/(4\/(-5))*13560\/(-9492).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5*-195\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 12:47 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 11:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 272\/9 less than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, -4, 22, -2\/19, 0.5 in descending order.\nAnswer: 22, 0.5, 0.17, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 76067190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yynyynynyymnnny. Give prob of picking 2 n and 1 y.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i**3 - 40*i**2 - 20*i + 160 = 0 for i.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 2. Let y be (0 - -1)\/((-1)\/(-5)). Let v be (-20)\/(-3)*6\/y. Solve t*i + r + v = -3*i, 0 = -i + r - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 635 divide 1035707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(85))\/sqrt(5) + (sqrt(2448) + (sqrt(2448) + 0)**2 - sqrt(2448)) + (sqrt(204)*1)\/sqrt(3).\nAnswer: 3*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*y**4 - 10*y**3 + 296.\nAnswer: 64*y**3 - 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*y**4 - 51985 + 3*y**4 + 65998 - 30*y - 5*y**3 wrt y.\nAnswer: 20*y**3 - 15*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 32 = -5*k, 2*k + 0*s + 2*s - 10 = 0. Let m(z) = -3*z - 3*z + 2*z + 70*z**2 - 144*z**2 + 6 + 75*z**2. Give m(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74 - -149\/2. Factor 0*z**3 + 0 + 0*z + 0*z**2 + d*z**4 + 1\/2*z**5.\nAnswer: z**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 51*(-8)\/32) + -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 1. Let p(c) = 11*c**2 - 7*c + 3. Let n(y) = -3*o(y) - p(y). What is the second derivative of n(z) wrt z?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -26  (c) -18  (d) 0.5  (e) 1\/8  (f) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -39862, -39861, -39868, -39889, -39930, -39997, -40096?\n\"Answer: -t**3 + 2*t**2 + 2*t - 39865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**3 - 13*j**2 + 82*j - 308. Calculate d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 + 0. Let n = 0.3 + -0.4. Let v be 1\/2*(-1 - -1). Which is the closest to n?  (a) g  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -411865736*d*o**2*z**3 + 5*d*o + 428*d*z**2 + o*z**3 - 6*o - 2*z**3 - z**2 + 2 wrt o?\nAnswer: -823731472*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8814942 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 555 * -774855\nAnswer: -430044525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 4*s**3 + 4*s - 6. Let i be (2*-1)\/(4\/(-10)). Let b(k) = -5*k**3 + k**2 - 4*k + 6. Let v(y) = i*b(y) + 6*o(y). What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -5*v - 17. Let l be z(-6). Let n be l - (0 + (4 - 0)). Let y(h) = 2*h - 12. Let q be y(n). What is the highest common factor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 4:32 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -3*u + n - 3*n + 60, -2*u = 5*n - 287 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -26703, -51889, -75561, -97719, -118363?\n\"Answer: 757*o**2 - 27457*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*w + 196758 = -3894*w for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5867 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.13 - -0.05. Let z = -40 + 40.2. Is z bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**14*v**(-2)\/v)**(-1\/16) assuming v is positive.\nAnswer: v**(-11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74 (base 12) to base 8.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + -0.05705.\nAnswer: 2.94295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 4*v + 3*l, 2*v + 9 = -3*l + 4*l. Which is bigger: -1\/1850 or v?\nAnswer: -1\/1850","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s - 3. Suppose 0 = -3*c - 2*c + 15. Let g = c - -2. Let f be w(g). Solve 5*u + 9 = -f*d, 0 = -d - 3 + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 70 = x. Suppose 0*n + 3*n + 3*h - 672 = 0, 0 = -3*n + 4*h + 679. Let t = n - 129. Calculate the remainder when t is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 9*i**3 + 5*i**2 + 10*i - 552. Let n(o) = -17*o**3 - 9*o**2 - 18*o + 1105. Give -5*n(b) - 9*p(b).\nAnswer: 4*b**3 - 557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-13 - (17 - 31))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2849 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - -0.5. Let u = v - -2. Let k be (-3 + 0)*1\/7. Which is the closest to 1\/3?  (a) u  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**5\/6 - x**4\/2 - 8*x**3\/3 - 2*x**2.\nAnswer: x**2*(x - 6)*(x + 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)\/w*w**(4\/5))**(-31)*w**(-39)*w**4*w**5 assuming w is positive.\nAnswer: w**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 341.853 + -342. Round h to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7129?\nAnswer: 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(-7*j**4 - 48*j + 48*j) + j + j**4 - j.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5320867.\nAnswer: 1559, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21\/79 - -384\/553. Which is the closest to -0.1?  (a) 91\/3  (b) m  (c) 4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*y + 4*c, -2*c = 5*y + 2 - 8. Calculate the lowest common multiple of (-78)\/(-12) - 1\/2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58320392 divided by -488\nAnswer: 119509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -17669.1  (b) 3.2  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 13*d**2 + 10*d + 76. Let z be w(-5). Let x = z + -1054\/3. Which is the biggest value?  (a) 1  (b) -4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -446969*s. Let b(i) = 8*i. Give w(b(r)).\nAnswer: -3575752*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 855352518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6351 = -6*d + 1017. Suppose -b + 5*b - 2*r = d, -622 = -2*b + 3*r. Suppose 3*o = -2*a + 752 + 163, -o = -a - b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 333844, 333828, 333812, 333796?\nAnswer: 333780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 5*i**3\/3 + 4. Suppose 9 = -7*b + 37. Let p(u) = -3*u - 16*u + b*u. Calculate m(p(x)).\nAnswer: 1125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -23*y + 72. Let v be k(3). Solve -v*j + 2*j - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(-1 - 5 - 13)*(-11*w**4 + 7 - 7).\nAnswer: 418*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 3*u - 3. Suppose 0 = 3*i - 27 - 3. Let x(o) = -4*o**2 + 10*o - 10. Let g(z) = i*h(z) - 3*x(z). Let c(s) = 2*s**2. What is g(c(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -59*d**2. Let p(l) be the second derivative of -7*l**4\/4 - 1979*l. Determine p(q(c)).\nAnswer: -73101*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -2\/13  (c) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5*j - 28 = 0, -6*w + j + 6 = -5*w. Find the third derivative of -807 + 401 - 2*y**6 - 6*y**3 + 403 + y**w wrt y.\nAnswer: -240*y**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 2 = t + 11 - 7, 0 = -17*t + b + 55 - 157 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**3 - 3*x**2 - 2*x - 2. Let h(r) = 2*r**3 - 2*r**2 - r - 1. Let t(u) = -u**3 - 20*u**2 + 2. Let d be t(-20). Determine d*i(z) - 3*h(z).\nAnswer: -2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + s - 20, 3*i - 5*s = 4*i - 28. Suppose 3*p = 3*l - 12, i*p = 5*p - 2. Let x = 6 - 3. Solve -4*b = -l - x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 + 2 + (345 - -15)\/18. Let m(q) = -3 - 3 + q**3 + 18 - q - 14*q**2. Determine m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 133 + 143 = 0. Suppose 5*k + u = 2*u + r, 0 = -2*k - 2*u + 14. Solve -k*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 97.9 + -96.847. Let a = r - 0.67. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -17574?\nAnswer: 17571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 12*h + 69. What is the units digit of s(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1126166*w**2 + 1181205*w?\nAnswer: -2252332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1206999674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/27815 and -63\/3515816.\nAnswer: 17579080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 5*h**2 + 4*h - 11. Let m be n(-6). Suppose 2*i - 7 - 11 = -2*b, 4*b = 4*i - 4. Solve -6 = i*y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-21)\/9)\/(2\/(-6)). Suppose -5*o = -5*h + 15, 0 = 2*h - 5*o + 1 - s. Solve -5*q + h*q + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26496, -0.4, -2 in decreasing order.\nAnswer: -0.4, -2, -26496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -624, -1264, -1906, -2550, -3196, -3844, -4494?\n\"Answer: -b**2 - 637*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.004, -25, 2\/5 in descending order.\nAnswer: 2\/5, -0.004, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 5  (b) 8  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**4 - 2*l**4 + 3*l**4 + (-5 + 5 - 2*l)*(-l**3 + l - l) + 57*l**2 - 57*l**2 - 46*l**4.\nAnswer: -45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5966038264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34000 (base 5) in base 10?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 2*s - 1. Let m be h(1). Suppose 4*a - 2*l - 36 = m*a, 0 = -a + 5*l + 18. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/51 and 1\/585?\nAnswer: 9945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23, -41, -63, -83, -95, -93, -71, -23?\n\"Answer: q**3 - 8*q**2 - q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 36*k = -56. What is the second biggest value in 7, -1, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2376.77 to the nearest 10.\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/7 + 25510*q\/7 - 2455652\/7.\nAnswer: -2*(q - 12658)*(q - 97)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 327 + -330. Let z(l) = -l**2 + 2*l - 2. Let i(c) = -c - c**2 + c - 3 + 2*c. Calculate r*z(n) + 2*i(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2871716 + -0.3?\nAnswer: 2871715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55.204 + 54.97. What is the fourth smallest value in 2\/9, h, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**4 - 314*o**3 + 22980*o**2 + 270216*o - 629856 = 0. What is o?\nAnswer: -12, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -9*((-28)\/(-21))\/(-1). Suppose -v - l = -4*z, 2*z - 6 = -5*v - 22. Solve z*a - 13 = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75 - -75. Calculate the remainder when h + 2 + 22 - 3 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) -17211  (c) -0.3  (d) -8  (e) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 + 2*k**3 + 0*k**2)*(-1 + 3 - 4) - 2*k**3 - k**3 + 4*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(2\/5)*y*y)\/y)**(-33))**(2\/19)\/(((((y\/((y\/y**(1\/5))\/y))\/y)\/y*y)\/y*y*y**8)\/(y**(2\/3))**(-1)) assuming y is positive.\nAnswer: y**(-3913\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-9)\/(-3)*(1150\/6)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**6\/60 - o**5\/20 - 7*o**4\/8 + 41*o**3\/6 - 27*o**2. Is v(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 400547644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 6. Let f be -48*((-5)\/2 + (-1)\/(-2)). Let d = 102 - f. Let u be d - (4\/10 - (-12)\/20). Give r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*x. Suppose -72 = -4*r + 3*h, -5*h + 8 + 12 = x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-634)\/(-8) - (-7)\/(-28). Let b be (y*(-1 - 0))\/(-1). Suppose g = 4*d - 47 - 18, -5*d - g = -b. What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + 3)\/(3 - 0). Let m = 7 - c. Solve 2*v - 1 - 7 = -g, 2*g - m = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-2*sqrt(468) + sqrt(468) + -1 + -3.\nAnswer: -4 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 40\/24 + 10\/(-6). Sort 3, -31, 5, f in descending order.\nAnswer: 5, 3, f, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43789 (base 13) in base 8?\nAnswer: 356423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 1 = 0, 3*x = -4*s - s + 17. Suppose 5*r + 1355 = 4*f, 3*f + s*r = -f + 1364. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -0.1008.\nAnswer: 0.03024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (170\/102)\/(25\/(-180))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46512 is divided by 1722.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of 37*b**3\/3 - 82*b**2 - 2*b - 7. What is the derivative of z(i) wrt i?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**3 - 20*f**2 + f + 18. Calculate y(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 20*o**3\/3 + 19*o**2\/2 + 18. Find the second derivative of g(n) wrt n.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 10) + 12 + -14 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3300 - 318*i + 2479 - 4525*i + 70 with respect to i.\nAnswer: -4843","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 16\/(-10))\/((-10)\/75). Let a be (45\/m + 0)\/(5\/(-140)). Let v be (2 + -227)*7\/(a\/680). Round v to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -1. Suppose s - y - y = 4, 4*y = 4*s - 24. Let g be ((-2)\/s*-2)\/(342\/(-304)). Which is the smallest value?  (a) g  (b) q  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4121 - 430*v**3 + 4121.\nAnswer: -430*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0 + (-3 + 3 - 2)*(-3 + 2 + 0)*(2 + 2 - 6))*(-5*d + 0*d + d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.27, -3 in descending order.\nAnswer: 0.27, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 14)\/(3\/((-90)\/(-50)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1941703?\nAnswer: 127, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 4:39 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1817 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 2 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/8742 and -37\/6771609?\nAnswer: 636531246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 316922 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + (7 - (1 + 6) - (3 + (-16)\/(-4))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -11  (b) -1.5  (c) -1383  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-1))**(2\/59))**(10\/9))**(-6\/7) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/18193 and 41\/92?\nAnswer: 72772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13.1 + -9.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fuoiq. What is prob of sequence ouiq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 699 a factor of 17880420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1297472646*0.3\nAnswer: 389241793.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13435590 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -7. Suppose -3*p = -0*z + z - 64, 4*p = 4*z + 64. Suppose 2*k - 15 + 3 = -3*r, -5*r - k = -p. What is the greatest common divisor of r and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 208, 215, 222, 229?\n\"Answer: 7*h + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*z**5 - 17493*z**4 + 445410*z**3 = 0.\nAnswer: -7070\/59, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 9:21 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 18 = -2*m, 4 = 3*m - 2*m - x. Let c be ((-4)\/(-8))\/(m + 15\/5). Sort c, -7, 3 in descending order.\nAnswer: 3, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 63*v + 3539 - 4358 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 207, 457, 757, 1107, 1507, 1957, 2457?\nAnswer: 3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -806, -275\/2, -0.3?\nAnswer: -806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4245 = 4*l, 9*l - 7*l = -3*c + 2119. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6327 * 1\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 6 = 3*v, -11 = -f - 3*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of -w**3\/9 - 22*w**2 - 131*w\/3 + 1087. Factor k(x).\nAnswer: -(x + 1)*(x + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1816003539.\nAnswer: 3, 7, 59, 488567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 141280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 3*a**2 - 13*a - 15. Let v be q(-5). Let w = 18 + -14. Suppose 5*p - z = 625, z - w*z = v. Calculate the remainder when p is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-58)\/522 - (-58)\/198\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 147\/760096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3 + 56796*v**2 + 170409*v + 113610.\nAnswer: -3*(v - 18935)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.209 - -0.07. Let j = i + -5.349. Let w = j + 0.07. Which is the smallest value?  (a) w  (b) 0.5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*u**3 + 36*u + u - 193172*u**5 - 14 - 9*u**3 + 193177*u**5 + 5 wrt u.\nAnswer: 100*u**3 + 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**3 - 2*m**3 + 7*m**3)*(-4*m + 4*m + 3*m).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 9*f**2 - 188*f + 31. Let u be v(21). Solve 19*a = -u*a + 142 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2686799, -5373602, -8060405?\n\"Answer: -2686803*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 3)*(-4*s - 2*s**2 + 4*s) + 2*s**2 + s**2 - 5*s**2 - 3*s - 2*s**2 + s**2 + 4*s**2.\nAnswer: -7*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/(-8)*((-168)\/(-9))\/7. Solve -2*i = y - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-231)*((-19360)\/64)\/(-55).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(288) + (sqrt(6)*2)\/sqrt(3))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 3490414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4852)\/(-102) - 11\/66. Let g = 4\/17 - b. Let l = g + 47. Are 1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 - 4*b**4 - 4*b**4 + (-2*b**3 - 1 + 1)*(3*b - 2*b + b) - 75*b**4 + 59*b**4 - 154*b**4.\nAnswer: -183*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -423 < 437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 662717066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.588 - -35.\nAnswer: 40.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 1. Suppose -k + 3*v = -13, -2*v = -d*k + 5*k - 116. Suppose 3*z - k = -r + 23, -3*r = -4*z + 60. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1224 + -0.0776. What is the nearest to w in -0.2, -5, -6, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bddddcdeedbdddde. Give prob of picking 1 b and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*v - 627610 = 0, -174375 = -2*a - 4*v + 139405. Suppose 0 = 60*f - 57*f + a. What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20*(-8*9\/(-144)*-1)\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d65 (base 16) in base 5?\nAnswer: -220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 3*k + 21, a - 21 = -4*a + 2*k. Factor -3 - 3*l + 3*l**2 + 4*l**a + 8*l**3 - 9*l**3.\nAnswer: 3*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 532 is divided by 139.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/2 and 31\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40270768 + -1.124.\nAnswer: -40270769.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -8*s + 26. Let d(w) be the third derivative of w**5\/60 - 49*w**2. Give k(d(a)).\nAnswer: -8*a**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144 = 6171*x - 6165*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 137000189999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 105190487 to the power of 1\/2, to the nearest integer?\nAnswer: 10256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o**3 + 4*o**3 + o**3 + (1 + 1 - 1)*(1 + 2*o**3 - 1) + 0*o**3 + 0*o**3 + o**3 to w + l*o**3 + s*o**2 + f*o and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -23, -30, -49, -86, -147, -238, -365?\n\"Answer: -i**3 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30436 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 937 divide 32260910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 8:42 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 1. Let w = -1.1 - -0.1. Let n be (1 + 14\/(-20))*(-7)\/(315\/60). Sort n, u, w in increasing order.\nAnswer: w, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*i**3 - 2028*i**2 + 4057*i**2 + 2*i**4 + 2 + i - 2029*i**2 to the form w*i**4 + x*i**3 + z + o*i**2 + q*i and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -6\/7 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 6 = -11. Suppose -i*a + 27 = -4*j, 8*a + 2*j = 3*a + 9. Let s(k) = -213*k**2 + 7*k - k**3 - 4*k + 216*k**2 - 2. Calculate s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in thirteen sevenths of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 180 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 12) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31915979 by -5.\nAnswer: 31915979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -b70756 (base 12) in base 3?\nAnswer: -12102111020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13062.106 minus -4?\nAnswer: -13058.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -4*s**2 + 14*s - 14. Let z(u) = 5*u**2 - 13*u + 14. Let m(j) = 4*r(j) + 3*z(j). Let x be m(16). Calculate the greatest common divisor of 26 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 310 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 99\/18 - (6 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 60*o + 1013. Calculate s(-16).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (96 - -18) + -29\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*q - q - 3*q)*(q - 4*q + 5*q) + (-3*q**2 - 7*q**2 + 15*q**2 + (-2 + 2 + 1)*(0*q**2 - 2*q**2 + q**2))*(-2 + 1 - 3) as c*q**2 + b + n*q and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 4*i**2 - 2*i - 14. Let h be (-43)\/(-7) + (-14)\/98. What are the prime factors of q(h)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -142 + 141.33. Let v = d - 0.03. Suppose -4*b = 2*r + 6, 0 = 5*b + 5*r - 3*r + 9. Put v, 0.1, b in decreasing order.\nAnswer: 0.1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245901 bigger than 245998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4389, -4391, -4395, -4401, -4409, -4419, -4431?\nAnswer: -4445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from kxllklkllx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.32 * 1702.\nAnswer: -544.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 16*g - g**3 + 17*g + 10*g**2 - 11*g - 31*g + 4. Determine j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/((-1148)\/(-126))*-9*4\/(-54)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5995530 * -10\nAnswer: -59955300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 166383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -106\/21, 1, 43, -0.3 in increasing order.\nAnswer: -106\/21, -0.3, 1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -250, -5655, -4 in descending order.\nAnswer: -4, -250, -5655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 132438185 to the nearest integer?\nAnswer: 11508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 + p**4 + 3*p**4)*(643 - 15*p + p - 653) + 8*p**5 - 4 + 4.\nAnswer: -20*p**5 - 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -11065141 (base 9) to base 4\nAnswer: -110123333203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -70 + 39. Let z(x) = -x**3 + 3*x**2 - 4*x - 4. Let v be z(4). Let p = v - k. What is the second biggest value in -7, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5967 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -58, -688 in ascending order.\nAnswer: -688, -58, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (216\/(-26))\/3 - -3. Is -1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57658759*f**5 - 2*f + 10320203 wrt f?\nAnswer: -1153175180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/58  (b) 0  (c) -522\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14505?\nAnswer: 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m**10\/7560 + m**7\/360 - 5*m**4\/4 - 3*m. Let n(q) be the third derivative of j(q). Find the third derivative of n(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/(1*sqrt(96)))\/(sqrt(77)\/(2*sqrt(22)\/sqrt(2))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5270015.6 or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21141 times 0.1?\nAnswer: 0.021141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -382424*r**4 + 425*r**3 - 455160560*r?\nAnswer: -4589088*r**2 + 2550*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 8*q - 4. Calculate m(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 367.048 + -365. Let o = 0.048 - g. Which is the second biggest value?  (a) 0.3  (b) o  (c) -0.1  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11379 + 11388. Suppose 2*r + 28 = u, -2*u + r = 2*u - 77. Let k = u - -17. Calculate the remainder when k is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*h + 2572 = 7*h - 5582. Is h less than 749\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 10*b - 6. Let r be x(-8). Is 17 a factor of 15*(-30)\/(-9)*12\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ctetcacatc. What is prob of sequence teat?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 212373 - 27?\nAnswer: 212344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3854071*s**2 + 3*s**3 - 3854071*s**2 + 1200*s as t + i*s + m*s**3 + f*s**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-1\/2)*t*t**(-1\/7)*t*(t**7*t)\/t**3*(t**(-4\/9)*t**(1\/3)\/t)\/((t*t**(2\/5))\/t**(-3)) assuming t is positive.\nAnswer: t**(1793\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2*-1)\/(19\/152)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284 + 3*k + 756*k**2 + 4*k**3 - 756*k**2 - 3*k.\nAnswer: 4*k**3 + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.6769 - 0.5579?\nAnswer: -28.2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1130 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -a - b - 91, 4*a + 487 = -b. Let z = 73 + a. Let n = z + 76. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -15*((-13508)\/385 + 2\/7). Suppose 8*h - 11*h + y = 0. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/2*10\/(-4). Let b = g - -41. Suppose 21 = -3*m + b. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4*(-9)\/48)\/(2\/(-24)). Suppose 0 = -h*m - m. Solve -5*y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*a - 19*a = -4*m - 3, 2*a - 3*m - 6 = 0. Solve 3*c - 2*b + 5 = -0*b, -3*c - 6 = -a*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 6.5. What is the biggest value in w, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14423 - 5761 = 251*l + 590*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25996, 103890, 233714, 415468, 649152, 934766?\nAnswer: 1272310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 628 and 22783997.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -974.03 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.03485236 from 1.243.\nAnswer: 1.20814764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6143181 is divided by 323325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 8. Suppose -2*k + 5*q = -154, -4*q = 2*k - 2*q - 154. What is the highest common factor of k and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2990 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 523603.\nAnswer: 2618015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.4  (c) 1  (d) -11  (e) 2\/13  (f) 76\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -3*k - 5*j, 5*j + 15 = k - 0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2183645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 5*u + 26059. Give x(-159).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1213 - 0.0581. Let t = 16.0632 - o. Which is the fourth smallest value?  (a) -3  (b) -0.2  (c) 2  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 3, 0, -1 in descending order.\nAnswer: 4, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*s**2 - s**3 - 9*s**2)*(s - s + 2*s + (0*s + 4*s - 3*s)*(3 + 4 - 6) + 2*s - 3 + 3 - 2 + 2 - 2*s).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rdxlddf. Give prob of sequence ddrx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.91 + -0.09. Let l = 179 - 182. Which is the biggest value?  (a) -4  (b) l  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5339 + 619.\nAnswer: 5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pddppdpdsppcpddpddd. What is prob of picking 1 d and 1 c?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-112))\/(96\/(13824\/90))*-2.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, i: 1, l: 1, m: 2, d: 1}. Give prob of sequence yv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -8. Solve -5*t + 1 = -i*t + 4*n, 0 = t + 2*n - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-167)\/28 + 884\/(-24752).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sye when three letters picked without replacement from {f: 3, e: 3, y: 2, s: 6, t: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7888601165+21\nAnswer: 7888601186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.33 + -33.13. Let n = -29.8 - r. What is the second biggest value in 39, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -275.99 * -0.01\nAnswer: 2.7599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 2:10 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (12\/(-18))\/(4\/(-246)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 1. Let o be x(5). Let a be -13 + 2 + o + 0. Let b = 24 + a. What is the remainder when 15 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d + 28 - 2*d + 3*d - 7.\nAnswer: -2*d + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6029, -12047, -18065, -24083?\nAnswer: -30101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h**2. Let l(o) = -11*o + 18*o - 8*o + 4. Suppose 0 = -v + 6*v - 20. Let j(r) = -3*r + 11. Let d(y) = v*j(y) - 11*l(y). Give g(d(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 16*u + 81. Let q be w(-5). Let t = q + 18. Let p(h) = h - 7. Let f be p(12). Solve -j = k + 5, -t + 3 = f*j - 4*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*b + 4*b + 375 = 0. Solve -13 = -b*u - 2*p, 3*u + 9 = 2*p + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/21 - (40\/(-7) - -4). Let d = 4 + -3. Which is the smallest value?  (a) m  (b) -2\/7  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -37415, -37416, -37415, -37412, -37407?\n\"Answer: u**2 - 4*u - 37412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*s = 34, i + 18 = 3*i + s. Suppose i = 2*l + 3. Suppose 4*r - 5*r = -o - 2, 0 = -o + 1. Solve -5*f - l*z + 8 = 0, 0 = -r*f + 2*z - 3*z + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4*x**2 + 3*x. Let m(a) = 5606*a. What is m(q(t))?\nAnswer: 22424*t**2 + 16818*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 382916921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i - 2. Let q(l) = -232*l**3 + 16*l - 40. Let n(u) = -q(u) + 8*t(u). Find the first derivative of n(a) wrt a.\nAnswer: 696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 382*p + 98*p - 5*p**3 - 480*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3840\/(-12480) - (-116)\/(-130)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8965 + 10171 = 201*m. Let h(q) = 2*q + 8. Let r(w) = -2*w - 7. Let y = -2 - -7. Calculate m*r(i) + y*h(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 1229547.\nAnswer: -5\/1229547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -4*a**2 + 64*a - 14. Let n be f(10). What is the remainder when (-938)\/(-8) - 12\/n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -13*x + 16. Let v(i) = 26*i - 26. Let w(j) = 5*f(j) + 3*v(j). Let s(z) = -z. Calculate w(s(l)).\nAnswer: -13*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 358620632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ovuuvuuvuuun. Give prob of sequence ovu.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*(-9*a**3 - 8*a**3 - 6*a**3)*(a + 2*a - 5*a).\nAnswer: 46*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*k = 1300, -n + 697 = -4*k + 277. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1170 - -5857\/5. Which is the third biggest value?  (a) 2  (b) 0.4  (c) 0  (d) 0.26  (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 10*o**3 + 19*o**3 - 2.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06615071 to five decimal places.\nAnswer: -0.06615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 5632?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 53 - 35. Suppose 3*b + 0*b = 3*a + c, 2*a = -b + 3. Let o(n) = -3*n - 7. Let l(y) = y + 1. What is b*l(p) + o(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -184 or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - 8*s - 8*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (389 - 205 - 275)*(0 + v + 0)*(-1 + 2 - 3)*((3 + 2 - 4)*(v**4 - 2*v**2 + 2*v**2) - 3*v**4 + 3*v**4 - 2*v**4 + 3 - v**4 - 3).\nAnswer: -364*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5680 is divided by 124.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*a - 14*a + 28*a + 47*a - 7*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 111*n**3 - 20*n**2 - 3*n. Let w(v) = 110*v**3 - 20*v**2 - 3*v. Let g(x) = -3*p(x) + 4*w(x). What is the third derivative of g(i) wrt i?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1728157 divided by 2\nAnswer: 1728157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15666 - -20606. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -8 - 7. Suppose 9*c = -m + 75. Solve 19*a**2 + 11*a - 23*a**2 + a - c = 0 for a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03075 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(1\/8))**(-17\/4) assuming l is positive.\nAnswer: l**(-119\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, x: 11}. Give prob of sequence xi.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 116405 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/4*22\/(-220). Let f(q) be the first derivative of 1 + 0*q**3 + 1\/2*q**2 - p*q**4 + 0*q. Find the second derivative of f(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 21\/(-35)*40\/(-12). Let c(r) be the first derivative of 1\/8*r**3 - 1\/16*r**d + 14 + 1\/32*r**4 - 3\/8*r. Factor c(n).\nAnswer: (n - 1)*(n + 1)*(n + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((-1 - -10 - 17) + 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -13 + 49*w**2 + 5*w - 16 + 34. Is q(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(2\/21))**20 assuming i is positive.\nAnswer: i**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3465*l = 3694*l + 12366 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 11:45 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 12:36 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1762 divided by 881.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -24\/4033?\nAnswer: -24\/4033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 596 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 3 - 0. Let h(c) be the third derivative of -19*c**6\/120 - c**4\/24 - c**3\/6 - 2*c**2. Calculate the remainder when h(g) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -0.4, -10, -1 in decreasing order.\nAnswer: -0.4, -4\/7, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 16. Let x = 26 - j. Suppose 2*m - 100 = -x. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 132 and 10287060?\nAnswer: 113157660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 17*o**2 - 33*o - 5. Let b be u(-15). Let f = 69 - 49. What is the greatest common divisor of f and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 18*t. Let k be r(-18). Suppose 4*b - 8 = k, -l + 0*l + b - 2 = 0. Let g(x) be the first derivative of -x**2\/2 + 3*x - 76. Determine g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 444\/9*2\/(8\/6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 92. Let r = o + -0.6. Round r to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*s**6*t**2 - 2*s**4*t**2 + 2*s**2*t**2 + 15*s**2*t + 52*t wrt s.\nAnswer: 600*s**3*t**2 - 48*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001798 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aam when three letters picked without replacement from {n: 1, m: 2, a: 2, e: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.00515 + -0.29485. Let r = 0 + -4. Which is the nearest to 2\/7?  (a) r  (b) 75  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12171763073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 252.7078 litres in millilitres?\nAnswer: 252707.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 2*a + 5. Let p be l(0). Is 20 a factor of p\/((-5)\/(-103 - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**5\/100 + 49*i**4\/6 + 20331*i**3\/10 + 118098*i**2\/5 + i + 2263. Factor g(l).\nAnswer: (l + 4)*(l + 243)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1446, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + l - 1)*(300*l - 923*l + 634*l - 419) in the form b*l + s*l**2 + c and give b.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-792)*(-1760)\/(-320)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -186570515*h - 79975253.\nAnswer: -186570515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4  (b) -6  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**3 - 1350*w**2 + 43769*w - 2101. Calculate r(-706).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 557893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*5*(((sqrt(28) + sqrt(448))\/sqrt(4))**2 + -2*sqrt(7)*-1)*2.\nAnswer: 100*sqrt(7) + 8750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 66850 and 2483.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12075.67 years in months?\nAnswer: 144908.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 318 - 322.01. Let f = q - -3.4. Which is greater: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 4 = 3*b + 2*n, -5*b - 4*n - 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*r + 71*r + 241*r = -441*r + 17739 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -19, -42, -83, -148, -243, -374, -547?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*x - 106 = -40, -5*x = -3*u + 174. What is the highest common divisor of 378 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1198088 to the power of 1\/2, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (26\/12)\/(7*10*28\/(-1470))*-8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 6*j**2 + 3. Let l = -1 - -7. Let d be x(l). What is the remainder when 9*d + 1 + -5 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 12) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -102121102 (base 3) to base 2\nAnswer: -10000100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z**4\/5 - 13*z**3\/5 - 9*z**2 - 47*z\/5 - 16\/5 = 0. What is z?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8454321 minutes in days?\nAnswer: 0.000587105625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 6*g**2 + 2*g - 4. Let v(l) = 5*l**2 + l - 3. Let s(u) = -u**2 - 528*u - 3645. Let c be s(-7). Suppose -2*f - f - 9 = 0. Calculate c*a(r) + f*v(r).\nAnswer: -3*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**2 + 1. Let q(v) = -4*v**3 - 116*v**2 + 520*v - 724. Let c(u) = -12*i(u) + q(u). Factor c(b).\nAnswer: -4*(b - 4)*(b - 2)*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 0 + 3 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -36*r**3 + 4*r - 3. Let a be c(-4). Let p(g) = 3*g + 15. Let i be p(-4). Suppose i*q + 2*t = t + a, 0 = -2*q - 4*t + 1530. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-5))\/(-2)*(-26820)\/4023\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 2 - 10. Suppose 0 = n*k - k - 48. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -283244 + 283247. Let f(x) = -2*x**2 + 8*x - 8. Let b(z) = -z**2 + 1 - z - 4 + 4*z. Give t*f(c) - 8*b(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8020979l?\nAnswer: 802.0979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - q + 2. Let j be i(2). Let g(n) = -8*n - 226. Let k be g(-29). Sort j, 2, k in increasing order.\nAnswer: j, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -o**2 - 5*o + 2. Let w be s(9). Let z = -11 - w. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -81?  (a) 1\/4  (b) 3  (c) 75  (d) 8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99104185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 365, 2938, 9927, 23540, 45985, 79470?\n\"Answer: 368*r**3 - 3*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*g - 4 = -0*g, -5*n = 2*g + 4. Let t be 6*(3\/6 - n). Let -2*u**2 - 3*u - 3*u - u + 2*u**t + 3*u = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - (-22 + 36) - -10) + 50.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -i - 5*k - 45, k - 16 = -4*i. Suppose -i*w + 10 = -3*w. Suppose 3*b = -4*v + 225 + 139, -w*v + 455 = b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 17 + 3 = 0. Suppose -3*d - 1 = 3*a + 5, 3*d - z*a - 1 = 0. Let w = 27 - d. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 34.21646 litres?\nAnswer: 34216.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3 + sqrt(1377) + -1 - (4 + (sqrt(1377)*-1 - sqrt(1377))))*5*-5)**2.\nAnswer: -1080000*sqrt(17) + 31142500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**2 - 20*y - 10. Determine h(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -1. Suppose 0 = 2*h, -2*r - h + 38 = -c*h. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1356 and 21924398279.\nAnswer: 21924398279.1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of q**5\/20 + q**4\/2 + q**3\/3 - 28*q. Calculate d(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**3\/6 + 2*q**2 - 9*q. Let n(l) = -2. Calculate -5*n(o) - 2*u(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/11, 3, 20\/27, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4, o: 2, h: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 198\/12*(1 - 5\/15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 5*r + 8. Let k be d(-6). Let h be (2\/3)\/(k\/6). Differentiate s + 1 + 0 - h wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/4 + -3*44\/33\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 34, 71, 114, 163, 218, 279, 346?\n\"Answer: 3*y**2 + 28*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1058 = -3*a - 0*a + g, 2*a + 711 = -5*g. Let z = a - -199. Let d = 224 + z. Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 6 = c - 9, 0 = -3*u + 3*c. Put u, 5, 0, 8 in descending order.\nAnswer: 8, 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09*-0.018.\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*h - 36 - 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 3:35 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.566 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(176) + -2)**2 - (-1*sqrt(176) + 2))*3 - (3*-4*sqrt(176) - (2 + (sqrt(176) + -2)**2)).\nAnswer: -4*sqrt(11) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + x - x**2)*(0*x**3 + 0*x**3 - 2*x**3) - 5633*x + 5633*x + 6*x**2 + 16*x**5.\nAnswer: 18*x**5 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 5:44 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 121220 and 63.\nAnswer: 7636860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (88 - 3) + -175 + 168 + (-1 - -2)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3618?  (a) 4\/3  (b) 0.3  (c) 41  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z - 5 = 25*d - 24*d, -4*z - 3*d = 3 - 38 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-5) + (5036\/(-20))\/1. Let m = h + 272. Calculate the greatest common factor of 180 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 31*g - 200. Let a be x(37). What is the highest common divisor of 506 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4836.177 to 0 decimal places.\nAnswer: -4836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minus -82?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w - 4. Let j be h(-6). Is j - (2 - 674\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*t**2 - 46772*t + 327747.\nAnswer: -(t - 7)*(7*t + 46821)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**4\/24 + 173*n**2\/2 + 207. Let w(v) be the second derivative of a(v). Let l(t) = 34*t**2. Determine l(w(z)).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 132\/351 - (-4)\/(-26). Sort 3\/5, -1, w.\nAnswer: -1, w, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158 - 7*s**3 + 39*s**3 - 294 + 136.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -211 (base 5) to base 16\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + -2*sqrt(98)).\nAnswer: -2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 0*o - 34 = 0. Let r = -9 + o. Solve -2*b - 2*h = b - r, 4*b + 2*h = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t*t*t**(1\/11)*t*t\/(t\/t**(-2\/31)))**(-15\/4) assuming t is positive.\nAnswer: t**(-12855\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 819972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*s + 10 = 0, -23 = 4*p + p + s. Let a be 9 + 1 + p + -2. Suppose -133 = 5*i - a*i. What is i rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b\/b**(-1)*b)\/((b**9\/b)\/b))\/((b**2\/b)\/b)**(1\/10) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38.65 - -39. Let w = d + -0.25. Let s = -526\/5 + 106. Which is the nearest to w?  (a) s  (b) -12  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 4:07 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6361 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*b - 3*f - 43, 0 = -4*b + 5*f + 38. Do b and 40\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127230216881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1138 - -1138) + (-2 + -1 + -10 - (0 - 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13434287*o**2 - 10112135 wrt o?\nAnswer: -26868574*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 516.993 and 0.5?\nAnswer: 516.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84.32999 decades to millennia.\nAnswer: 0.8432999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.6 - 4.4. Let b = -147.96 - -154. Let z = s + b. Is z != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -3*g - 4*g + 0*g. Let m(i) be the second derivative of 0 + 0*i**2 - i - 1\/6*i**3. Calculate l(m(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 312 and 1144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(8\/10 + (-24)\/(-120)). Solve -5 = -v*i + 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -6*d - 5. Let r(h) = -3*h - 2. Calculate -6*i(y) + 14*r(y).\nAnswer: -6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 30 = -0*l + 5*m, -2*l + 5*m = -75. Suppose -3*n = -n - 4. Suppose -88 - n = -5*f. What is the highest common factor of l and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*b = -60, -126 = -3*n + 3*b + 54. Suppose v + 3*v = n. Calculate the remainder when 59 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d - 108?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-30)\/(-50))\/(2\/1570) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225102361.\nAnswer: 11, 157, 130343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/110  (b) -291\/2  (c) 97  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 44\/33*(-192)\/160\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18583737.\nAnswer: 3, 17, 109, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 4*z = -535, -4*y - y = 3*z + 910. Let g = -116 - y. Suppose 5*b - 99 = -m, 0 = -5*b + m + 32 + g. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*m**2 + 11*m**3 - m**3 - m**3 - 31*m**2 as t*m**2 + w + z*m**3 + o*m and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 101096783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 280 = 2*z, -5*n = -3*z + 78 + 350. Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 c when four letters picked without replacement from yvccoccovvcwoyw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -35956.31 rounded to the nearest 10?\nAnswer: -35960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*r - 1, 4*c - 3*r = 14. Suppose -w - 3*y = -0*y + 15, 5*y + 29 = -c*w. Which is greater: -9 or w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**6\/120 + 2*z**5\/15 - 11*z**4\/24 - 23*z**2. Let r be a(6). Let v be (-1)\/5 - 42\/(-10). Solve r*i - v*i = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14 - -1137955?\nAnswer: 1137941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -6*f + 22. List the prime factors of n(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 23*y**2 + 116*y + 9. Let m be c(-5). Let x = -8 + 7.4. Let p = x - -0.5. What is the closest to p in m, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 302*r**2 + 208*r - 3216. List the prime factors of h(15).\nAnswer: 2, 3, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from euddedddudgueuue. Give prob of sequence ueg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*g - 1146*g**2 + 67*g**2 - 80*g + 25*g + 24*g to the form h*g + q + n*g**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-7) - (-42)\/(-252))\/((-480)\/(-112))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -3*c + 180. Let b be 24\/c*(-10)\/4. Suppose 5*a + 2*f - f - 86 = 0, -b*f = -a + 26. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 36 = 2*v. Suppose -13*t + v*t = 0. Suppose l + 0*l - 17 = t. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -165, -340, -513, -684, -853, -1020, -1185?\n\"Answer: w**2 - 178*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuujjjjjjju. What is prob of picking 4 j?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/11, -2\/7, -0.07, -10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 + 8*c**2 - 3*c - 8. Let k be y(-4). Let j be 114\/k*4\/24*4. What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 310\/3 - 2\/(-3). Let y be 11 - ((-1)\/3)\/((-2)\/(-12)). What is the greatest common divisor of r and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.7  (b) 0.2  (c) 50\/9  (d) -2\/3  (e) 1469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-5\/3)\/i*i)\/(i\/(i\/((i\/i**(-3))\/i))))**(-1\/22)\/(i*i*i**(-6)*i**6*i*i**(2\/5)\/i**(-2\/11)) assuming i is positive.\nAnswer: i**(-556\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 PM and 5:18 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 92 - 32 = 0. Solve 11 + 19 = -q*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22037 (base 12) to base 11\nAnswer: 30873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -6, -k - k - 638 = -3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z**2 + 3 - 5*z**2 + 9*z**2 - 17.\nAnswer: 9*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14673385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 303 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 322677*d - 161334*d - 161341*d. Let w(g) = 2235*g + 1. Give w(r(y)).\nAnswer: 4470*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 80  (b) -5  (c) -0.1422  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 236660 divided by 20.\nAnswer: 11833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*r = 163*r + 936 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 20616417 divided by 6872139\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 9*d - 31. Let r(s) = 14*s - 48. What is 5*r(u) - 8*t(u)?\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3416 = -21*w + 59*w + 18*w. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -129.495 - -130. Let b = o - -0.957. Round b to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 184*b**4 + 6246*b**2 - 1439085*b.\nAnswer: 2208*b**2 + 12492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z - 9. Let n be l(-6). Find the third derivative of -3 - 2*h**5 + h**2 + n wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11117.\nAnswer: 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67961075.\nAnswer: 5, 7, 13, 29873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of r**6\/15 - r**5\/30 + 59*r**4\/24 - 13*r**3\/6 + 3*r**2 + 640. What is the second derivative of f(p) wrt p?\nAnswer: 48*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 3, -9\/8, -25, 0.4.\nAnswer: -25, -9\/8, 2\/13, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.9327, 1\/2, 225 in ascending order.\nAnswer: 0.3, 1\/2, 0.9327, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 698954.1 nanoseconds to minutes.\nAnswer: 0.000011649235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i**2 + 6*i**2 - i**3)*(1 - 2 + 0) + 0 + 0 + i**3 + (-1 + 1 - 2*i)*(-i**2 + 0*i**2 + 0*i**2).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 27 = 9*l + m - 0*m, -493 + 214 = 5*l - 5*m - 254 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 3) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + -2)\/((-2)\/2). Let y be 0 + 345\/27 + 2\/9. Let z(n) = 2*n - 23. Let j be z(y). Is j equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1842 divided by 358469?\nAnswer: -1842\/358469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d - 2*d + 6*d)*(5*d**2 + 31 - 7*d**2 + 7*d**2 + 2*d**3) to g + o*d**2 + z*d**3 + r*d**4 + y*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17925 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*c - 1590 + 456 = -24*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 4. Sort m, 5, -0.3.\nAnswer: m, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2. Let k(y) be the third derivative of -y**7\/5040 + 19*y**5\/60 + 5*y**2. Let m(i) be the third derivative of k(i). Give w(m(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 + 39)\/(20\/(11 - 1)). Suppose 27764 = x*n - 20135. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 + -52. Suppose 5*z + l*p + 360 = 0, -2*z + p + 2*p - 154 = 0. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92*c**2 + 147*c**2 + 255*c**2 to the form d*c**2 + o*c + x and give d.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(5\/10*(-14)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 + 7*d + 10. Let j be k(9). Let z be (-11)\/(-4) + (-2)\/j. Suppose -4*m - 3 = z*g - m, -2*g + m + 1 = 0. Which is smaller: g or 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7.3 in -2, -1, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2*v - 12 = 0, -t - t + 8 = 2*v. Calculate the lowest common multiple of t and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-5*(((1*sqrt(539) + sqrt(539))*6 - sqrt(539))*1 + 0 + ((sqrt(99) + sqrt(11))*5 - sqrt(11)*2*4)))**2.\nAnswer: 54456875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i**2 - 7095*i + 71430. Calculate z(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4450 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*d**3*r + 2*d**3*t - 32*i*r**3*t + 2*i*r**3 + 25*i*r**2 + i*t with respect to t.\nAnswer: 2*d**3 - 32*i*r**3 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 6638*j**3 - j**2 + 2*j - 2. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mgb when three letters picked without replacement from {b: 1, m: 2, g: 2, j: 1, h: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -263 - 12*q - 185 + 456. Give n(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 51.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -206*d + 9 - d**2 + 10 + 199*d. What is the tens digit of v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 7*b**2 - 21*b + 20. Let m be k(-11). Suppose -6 + 9*w - 3*w**3 - 735*w**2 + m*w**2 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26668 or 26666?\nAnswer: 26668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*t + 75 - 75 + (1 + 0 - 3)*(t - 5*t + 2*t) - 102*t + 221*t + 193*t to p*t + g and give p.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g**2 - 190236476*g - 190236480 = 0.\nAnswer: -1, 47559120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000022576 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 104 + 175. Find the common denominator of a\/10 + (-12)\/16*-4 and 6\/(2 + (-36)\/(-58)).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.734606 * -310.\nAnswer: -227.72786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(-4*f + 5*f + f) + 2606*f + 2091*f + 819*f + 4129*f - 1199*f.\nAnswer: 8450*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1622 and 12976?\nAnswer: 12976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*(sqrt(56)*2*-2)\/(sqrt(10)\/(sqrt(80) + sqrt(5))))**2.\nAnswer: 44801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 1:41 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -s - 7575. Suppose -4*n - n - s = 0. Is (n - 1)*8\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-2 + (-2 - -9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57023 = -73*p + 145426. What is the remainder when p is divided by 399?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2635 - 2146 = 7*m. Let s = m + 688. Solve -3 = -8*q + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, b: 1, u: 5, t: 8}. What is prob of picking 2 v, 1 t, and 1 b?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*h = 1 - 19, -4*h - 15 = 5*u. Let l(w) = w + 9. Let y be l(-6). Suppose -y*r = -2*i + 8, -4*i = -4*r - 3*i - 9. Sort 0, u, r in descending order.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.169*0.3914.\nAnswer: 0.0661466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -5*w + 4. Let k be p(8). Let n(r) = r**2 + 8*r + 40. Let u be n(-9). Let l = k + u. Calculate the greatest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 37 - -5665?\nAnswer: 569c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0551 - 328.9449. Let m = i - -329.0267. Round m to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -401852.\nAnswer: -3\/401852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(288)*-2.\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**4\/10 - 13*a**3\/10 + 31*a**2\/5 - 64*a\/5 + 48\/5 = 0.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/33 + (-2 - (10 - 18))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 29, -4, 3, -0.1 in descending order.\nAnswer: 29, 7, 3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21771456 is divided by 16296?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - 11 - -10) + 12 + 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3308528 and -86630.\nAnswer: 3221898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144 and 130824?\nAnswer: 261648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddegxxff. What is prob of sequence xded?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 167 - 19. Calculate the common denominator of 151\/18 and (2\/b)\/((-8340)\/1386 - -6).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((0 + -2 + sqrt(72) - (sqrt(72) + -1*sqrt(72)*-4 - sqrt(72))) + 1)*-3)**2.\nAnswer: 324*sqrt(2) + 5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49.30718 - -125.306734. Let q = 76 - m. Round q to 5 decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14217)\/(-35) + 2\/(-10) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*4478.\nAnswer: 895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -621 - -14044?\nAnswer: 13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 2241021?\nAnswer: 2241022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -m**7\/5040 + m**6\/432 + m**5\/120 + 103*m**3\/6 + 6*m - 1. Let p(x) be the second derivative of k(x). Factor p(i).\nAnswer: -i*(i - 6)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -460 = -461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l = -27 - 43 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 6. Let o(s) = -s + 11. Let r(f) be the first derivative of f**2 - 23*f - 1. Let u(c) = 9*o(c) + 4*r(c). Let y(j) = 5*d(j) + 6*u(j). Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hylinji. Give prob of sequence yl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11100033142301 + 10?\nAnswer: -11100033142241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 - 10\/(30\/9). Suppose 3*c - 5 = 2*q + 6, p*c = -5*q + 25. Solve -2*s - q = -k + 3*k, -2*k = 4*s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 440 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.08 + 2. Let q = r + 0.4. Let d = q + 0.08. Sort -3, -5, d.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -4*o**2. Let i(b) = -2*b**2. Let u(q) = q**2 + 6*q + 3. Let p be u(-2). Let m(l) = -4*l**2. Let w(t) = p*i(t) + 3*m(t). Determine v(w(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 + 43. Let x(d) = d**3 - 7*d**2 - 2*d + 17. Let l be x(p). Solve -l*k = -0*k - 2*z - 4, k - 5*z + 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 16*n + 3*n**3 - 5*n**3 - 11 - 14*n in the form t*n + i*n**2 + x*n**3 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -352*g + 2120. Let i be z(6). Solve 17*o = 13*o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*u + 13 - 5 = 0, 0 = -4*m - 3*u + 38. Suppose 2*t - t - m = 0. What is the remainder when 14 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13\/7, 2, -296, -0.0141 in ascending order.\nAnswer: -296, -0.0141, 13\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/17)\/q)**18 assuming q is positive.\nAnswer: q**(-342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3480 divide 59393717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68428 = 42*k + 24790. List the prime factors of k.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 2*n**2 - n + 1. Let m be a(1). Let p be 1 + -2 - (-2 + 2). Let h be (1 + p)\/(12\/(-6)). Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -15) + 40 + -5 + 1 + -13.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313613 is divided by 93.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - (1 - 0))*5. Suppose 0 = q*r - 3*f - 6, -2*r - 3*f = f - 18. Suppose 0 = 3*i - r*j - 0*j - 27, 5*i - 57 = j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -5*g**5 - 365*g**4 - 1365*g**3 + 1125*g**2 + 6210*g = 0?\nAnswer: -69, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1769632 divided by -104096\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 91.21 - 92.21. Suppose 3*g = -0*g. Suppose -m - 4*m = g. Do m and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -132711579 - -132711645.0000155. Let d = t - 66. Round d to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*6\/(-27))\/2*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1051405632 divided by 29205712\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 0.15  (b) 0.1  (c) 3\/10  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13848, -13937, -14026, -14115, -14204?\nAnswer: -14293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -918*x**3 - 2*x + 3148*x**2 + 405*x**4 - 900*x**3 + 1829*x**3 wrt x?\nAnswer: 9720*x + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 15*f**2 - 50*f - 546. Give w(-9).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18700*f = 573367 + 1053533 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 231*t = 270*t - 591*t + 175536. Calculate the least common multiple of 1590 and t.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p - 3. Let z be g(-4). Let c(u) = u + u - u + 0. Let q(n) = -2*n. Let t(d) = z*q(d) + 4*c(d). Let l(j) = -2*j. Give l(t(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*-0.8.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k - 1. Let g be 3\/(-15) - (1 - 11\/5). Let s(h) = g + 3 - 68*h + 61*h. Determine -6*j(n) - s(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 1. Let g = 430 - 425. Are g and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50002932?\nAnswer: 2, 3, 7, 277, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 6*n + 5. Let t(d) = d**2 - 22*d - 552. Let a be t(-15). Let c(b) = -6*b - 4. Calculate a*h(y) + 4*c(y).\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 169756, 339539, 509322, 679105, 848888, 1018671?\n\"Answer: 169783*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3 = -7. Find the third derivative of 63*w**5 - 12*w**2 + 67*w**5 - 137*w**j + 16*w**5 wrt w.\nAnswer: 8760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.9, -4, -0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 176420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-675*t + 490*t - 584*t)*(0 + 3 - 2)*(-14*t + 5*t + 3*t) to p + g*t**2 + d*t and give g.\nAnswer: 4614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1151, 1, 1\/16, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1747943?\nAnswer: 19, 91997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -2*k - 5043 + 227, 0 = -5*g + 15. Is (21\/7)\/(-1 - k\/2396) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 171 - (30 + 147) - (1 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (35*z - 154*z - 50*z - z + 0*z + 0*z + (0 - 1 + 3)*(0*z + z - 3*z))*(-16*z + 7*z**2 + 16*z) in the form g*z + c + r*z**2 + k*z**3 and give k.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13103\/38304 - 15\/133. What is the common denominator of z and 41\/6?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1856627625 divided by -371325525\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 118.93 + -118.53. Which is the biggest value?  (a) 0.5  (b) -212  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64578 is divided by 376?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -3*b**3 + 2*b**2 - b + 1. Let w be y(-2). Let g = w + -21. Calculate the remainder when 53 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4*h. Suppose -o = -c + 10, h*o - 5*o = -c - 10. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 158*n**2. Let p(k) = -k + 3. Let z(x) = -x + 1. Let d(m) = -2*p(m) + 3*z(m). Let l(v) = -12*v - 33. Let s(t) = -22*d(t) + 2*l(t). Give s(b(q)).\nAnswer: -316*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20\/3 - -106\/15. Let v be 5\/10*4*2\/(-18). What is the closest to o in -2\/5, -6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7231*p - 14450*p + 7221*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/11 + 12\/(-66). Let d = -18 - -73\/4. Are l and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 1:10 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 7. What is the derivative of -1 - 3*c**2 + a - 2*c + 2*c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -1) + (-2 - (4 + -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 7896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(3*b + 2*b - 3*b)*(-3 + 1 + 4).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ubuu when four letters picked without replacement from bbuubbuuvvb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141428684?\nAnswer: 2, 101, 283, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.1999845 - -5.2. Round r to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*p - 20 = 3655. Let t(c) be the third derivative of 2\/9*c**4 + 0*c + 0 - 1\/180*c**6 - 4\/3*c**3 + p*c**2 + 1\/90*c**5. Factor t(y).\nAnswer: -2*(y - 2)**2*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44812427 to the power of 1\/2, to the nearest integer?\nAnswer: 6694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(((x*x**(2\/7))\/x)\/x))**(1\/69)\/(x*x**(-6)*x*x\/(x\/((x\/(x\/x**(2\/9)))\/x)*x)))**45 assuming x is positive.\nAnswer: x**(42040\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 712687835 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 136 + -119 + (0 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1391899*i**2 + 2017997*i wrt i.\nAnswer: -2783798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 101?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 69*w**2 + 72*w**2 - 291*w**2 + 67*w**2 + 70*w**2. Let i(t) = -t**2 + 15*t. Determine i(f(n)).\nAnswer: -169*n**4 - 195*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 7, 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.459153 decades in millennia?\nAnswer: 0.08459153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 3 - -5 - (2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xolwolxxwwoowgppwoll. Give prob of sequence wg.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**4\/5 + 1704*f**3\/5 + 36388*f**2 + 173520*f = 0. What is f?\nAnswer: -241, -180, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1 + (0 - 3 + 1)*(-3 + 0 + 2))*(8*j + 1 - 1 + (-3 - 4 + 5)*(-2*j + j + 2*j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3297, -3292, -3285, -3276?\n\"Answer: r**2 + 2*r - 3300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*l**4\/5 - 1320199*l**3 - 1885998*l**2\/5.\nAnswer: -l**2*(l + 942999)*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Is 391241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8394867 and 261.\nAnswer: 243451143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 0 + 6*h**2 + 0*h**4 + 1\/30*h**5 + 0*h + 0*h**3. Let l(g) = -6*g. Determine l(n(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 2 + 2*l + 2*l**2 + 6 - 6*l**2. Let k(a) = -4*a + 12. Let z be k(2). Calculate j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44*k**3 + 5 - 2*k - 35*k - 5 wrt k.\nAnswer: 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -4. Suppose t - 7 - o = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -54  (b) -2\/7  (c) -5  (d) 3\/5  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -519, 0 in decreasing order.\nAnswer: 4, 0, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*m**2 - 13*m**2 + m**2 - 12*m**4 + 8*m**2 wrt m.\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1652 = -443*y + 2538 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*i + 2. Suppose -8*g + 95 = -i*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.03 and -0.0444.\nAnswer: -0.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510 a factor of 196685050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64 - 5*v - 34 + 109*v**2 + 36 + 19*v + 43 wrt v?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 92*s + 3631. Calculate m(122).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 122 + 40. Let v(d) = d**2 + 8*d + 15. Let n be v(-5). Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 1:21 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = n + 3*m, -2*n - 2*m = -0*n - 16. Let z = -2 - -17. Suppose -n*a + z = -a. Solve 4*l + a = 3*r, r = -3*l - 2*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -677592 divided by 4?\nAnswer: -169398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 1995455?\nAnswer: 11972730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1cadd (base 14) to base 16\nAnswer: 11f1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*h - 68*h + 2814 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7802 (base 15) to base 7\nAnswer: 134063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k + 4. What is s(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1698*(-40)\/(-15) - 14.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1053) + -3)*4 + (2 + 2*sqrt(637))**2*-5 + -4.\nAnswer: -12776 - 244*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -392\/5 + 5156\/65. Is a >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/5039 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - o = -4*o, 0 = -5*o - 10. Let s be ((-8)\/3)\/(h\/(-3)). Let r(c) = c**2 - 3*c + 3. What is r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 13877, 30 in increasing order.\nAnswer: 13, 30, 13877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of 4*v**2 + v - 11. Determine o(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 - 5 = -x + 3*k, -467 = 22*x - k for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.1. Let g = 0.04 + 0.04. Let f = -0.22 - g. Put 3\/7, f, z in descending order.\nAnswer: 3\/7, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25564045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15\/238 + -9655\/2142. Is -3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000756715 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 19. Suppose -1151 - 4 = -5*s - r*d, -5*d + 691 = 3*s. Calculate the greatest common divisor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**3 + 27*t**2 + 15*t + 14. Calculate m(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3429 divided by 1\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of 2*l**3\/3 - 2*l**2 - 18*l. Let u be w(7). Suppose u*t - 20*t - 24 = 0. Solve -t*z + 11*z = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/10 - 396\/(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.279\nAnswer: -0.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*w**2 - 2390 + 2390.\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.136571632 to 2 dps.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/815409 and 85\/22188.\nAnswer: 3261636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10452 (base 9) to base 3\nAnswer: 100111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 12 + 3. Factor -1\/2*f**v + 3\/2*f**2 + 1\/2 - 3\/2*f.\nAnswer: -(f - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19431 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*u - 8*u**2 + 1156 - 1156 + 2*u in the form s*u**2 + d*u + r and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1211 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 2*n - 10 = 20, -15 = -5*j + 2*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 26 + (-12)\/6. Suppose 0 = t - j - 0. Suppose -29*q = -t*q + 75. Is -26 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*d**3 - 25*d + 25*d + (4 - 21*d**2 - 4)*(-6*d + 0*d - d) - d**3 + d**3 + 2*d**3 to c + o*d**3 + k*d**2 + l*d and give o.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18272218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 225204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 332815 * -0.64\nAnswer: -213001.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of x**5\/5 + x**4\/4 - 5*x - 5. Let p(f) be the first derivative of z(f). What is the third derivative of p(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/5 - 8*g**2 + 1651*g\/5 + 338.\nAnswer: -(g - 26)*(g + 1)*(g + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 3*x**2. Let n(v) = -11*v - 15*v + 20*v. Let w(s) = -s**2 + 13*s. Let p(k) = 13*n(k) + 6*w(k). Calculate m(p(c)).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 9, -402.651 in decreasing order.\nAnswer: 9, -3, -402.651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*f + 5. Let w = f + -3. Suppose 5*l - 5*k = -0*k + 40, -l - w*k = -3. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x + 5400*x**3 + 5673*x**3 - 2668*x**3 + 3150*x**3.\nAnswer: 11555*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 7*h = -12*h + 294, h = 5*l - 1366. Which is the smallest value?  (a) 0.3  (b) l  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28700 and 1120?\nAnswer: 229600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.37 - -0.17. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 687565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -19*n + 0 + 1\/2*n**2 + 1\/6*n**3. Give b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/59, 0.01, 4 in decreasing order.\nAnswer: 4, 0.01, -2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*d + 56 = 0, -5*z + 3*d + 160 = -2*d. Suppose 2*f - 2*x - 2 = f, -2*x = f - 6. Suppose 4*w + 5*y - z = 0, 9*y + 36 = f*w + 4*y. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 4:08 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -57 + 61. Suppose 2*f - 4*t = -2*f + 72, -a*f - 2*t + 66 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -22*r - 34. Let w(z) = 7*z + 11. Let s(y) = -3*j(y) - 10*w(y). Let h be s(-4). Calculate the highest common factor of 24 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 29*r**2 - 140*r + 24. Calculate x(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 7*k - 37. Let j be q(8). What is the derivative of 400*h**2 - 6 - j*h**4 - 55 - 401*h**2 + 4 wrt h?\nAnswer: -76*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2235 is divided by 95.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(228)*-6 - sqrt(228))\/((sqrt(3456)\/sqrt(4))\/sqrt(2)).\nAnswer: -19*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000000111 + 1011110010110?\nAnswer: 1001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 3 = a - n, -a - n - 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) 5  (b) -3\/2  (c) 1  (d) -40\/117  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**4\/4 - 13*u**3\/2 + 40*u**2 = 0. Calculate u.\nAnswer: 0, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**2 - 7*m - 2. Let f(p) = 3*p - 26*p**2 + 1 + 0*p - 2*p + 25*p**2. Determine -4*f(t) - z(t).\nAnswer: t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence brkr when four letters picked without replacement from {r: 3, b: 4, k: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + x = -2*u + 15, -5*u = 3*x - 24. Suppose -u*f + 786 = 3*z, 1314 = 5*f + 3*z - 0*z. Calculate the highest common divisor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 13*z**2 - 8*z + 8. Let q be h(12). Suppose q = a - 35. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 25*x**2. Let z(q) = 4*q + 1072599. Calculate z(k(m)).\nAnswer: 100*m**2 + 1072599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9798\/11 - -890. Let b = -44.33 - -44. Let q = -0.33 - b. Put o, q, 0.2 in increasing order.\nAnswer: o, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3348.96 times -0.61\nAnswer: 2042.8656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2*h - h + 13, 0 = -5*y - 2*h + 13. Calculate the least common multiple of 22*y + (-2 - -2) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-56) - (-12)\/((-7560)\/285).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/22 - -15*(-1098)\/(-10065)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/3*(-15)\/20. Solve 14*t**a - 69 + 24*t - 17*t**2 + 21 + 0*t = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, p: 2, a: 1, s: 3, u: 2, g: 3}. What is prob of picking 1 s, 1 a, and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 22 = 8. Suppose -i*k + 2*k = 36. Let r be 3 + k\/(-6)*-2. Solve -b + r*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1022 + 212111?\nAnswer: 211023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001010100110 + -1000110011?\nAnswer: 1000001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96.373 + 101.74. Let w = j + 0.033. Let c = -8.1 - w. Round c to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 AM and 12:10 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - 28. Let j be (27\/12 - 2)*(-8)\/(-4). Let o = j + -9\/14. Which is the smallest value?  (a) o  (b) w  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 4 - 1 + 2 - 1 + 1 - 3 + 2 + 0 - 5 + 1 + 3 + (-5 - 3 + 6)*(-2 - 2 + 3))*(-11*n**3 + 114*n**2 - 114*n**2) to u*n + r*n**3 + j + f*n**2 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*n - 1026*n - 3503 = 6527 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u - 2 + 0*u + u)*(1 - 13*u**3 - 1 - 2 + 2 - u**3 + (1 - 1 + 2*u)*(-4 + 4 - 2*u**2)) to v*u**3 + o*u**4 + y*u**2 + t + k*u and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*g - 14, -2 + 8 = 3*g - 3*w. Suppose 2*o = g*o - 32. Is 1452\/o - (-3)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4569630 divided by 195\nAnswer: -23434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/15 and -37\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2969, -5892, -8821, -11762, -14721, -17704?\n\"Answer: -f**3 + 3*f**2 - 2925*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g + 1. Let h(w) = -6 - 2*w + 1 + 3 - 2. What is -2*h(m) - 6*n(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = z + 2*z. Let k = 73 - 25. Calculate the highest common factor of k and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 2059346592?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/5*(-15)\/(-9). Let z = 25.355 + -0.255. Let r = -24.9 + z. Sort r, 5, t, 2\/17 in decreasing order.\nAnswer: 5, t, r, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 - 0.34. Let k = u - -0.3. Let t = 48 + -52. What is the third biggest value in -0.5, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 14*a**2 + 12*a + 24. Let u be f(13). Suppose -u*k = -7 - 59. Suppose -j = -4*j + 144. What is the greatest common factor of k and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 96 - 94 + 5*t**2 + 3*t**2 + 2*t**3 - 2*t wrt t?\nAnswer: 12*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*t + 10*t - 57*t + 28*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.5 - 2. Suppose 0 = -4*a + g + 2, 0 = -5*g + 10. Let x be a\/4 - (-44)\/(-112). What is the smallest value in x, 5, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -6. Let a(j) be the third derivative of 0*j - 1\/180*j**5 + 0*j**3 + 1\/630*j**7 + 2*j**u + 0 - 1\/72*j**4 + 1\/360*j**6. Find h such that a(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 29*f**3\/3 - 59*f**2\/3 - 146*f\/3 + 176\/3 = 0. What is f?\nAnswer: -2, 1, 88\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**3 - 5*t**2 - 3*t. Let r be w(3). Solve -5*n + 3*i - 13 = -r, -3*n - 2*i = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -23, -359, 0, 5, -3 in decreasing order.\nAnswer: 5, 0, -3, -8, -23, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y - 1. Let w(z) be the first derivative of 2*z**2 - z + 3. Let i(q) = -3*b(q) + 4*w(q). Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*49\/42*(-21)\/(-14).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**3\/(u**5\/u*u))**(-16) assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 225181.8 years?\nAnswer: 225.1818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/25 - 5\/(-100). What is the closest to 1 in f, 0, 1\/5, 30?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 878932 is divided by 613?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -201.46405 rounded to 1 dp?\nAnswer: -201.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - q**2 + 10. Calculate the smallest common multiple of g(0) and (8\/(-6))\/(4 - 225\/54).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/93672 and 13\/296628.\nAnswer: 1779768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4307 + -4311. Let m = -86 - -86.07. What is the fourth biggest value in -4\/3, m, 2.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -86*l**2 + 1576*l + 310476. Let z(u) = 108*u**2 - 1576*u - 310477. Let k(o) = 5*i(o) + 4*z(o). Solve k(g) = 0 for g.\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (34\/10)\/((-6)\/(-30)). Let z(p) = -p**2 - 7*p - 7. Let k be z(-5). Solve d = -k*n + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16218, 16224, 16230, 16236?\nAnswer: 16242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.143933ng to tonnes.\nAnswer: 0.000000000000001143933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 6*p - 210. Let h be g(37). Let r be ((-75)\/(-10))\/(3\/16). Suppose -16*a + h*a = -r. Solve a = -2*y + 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c. Let y(i) be the second derivative of 4*i**3\/3 + 280*i. Give y(t(r)).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -1473*o + 456. List the prime factors of k(-6).\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18665799 to the nearest integer?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 17*l + 133. Give o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 4)*(1 - 11*b - 45*b + 431*b) + (-2*b + 4*b + 0*b)*(4 + 0 - 2) + 2 - 2*b - 2.\nAnswer: 752*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 83.5924482 + -83.581. Let w = p + -0.0114. Round w to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-3)*(1 + (128 - 0)). Differentiate -491*v**3 + 65 - 25 + c*v**3 wrt v.\nAnswer: -183*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -3*r**3 - 1\/2*r**2 + 5 + 0*r. What is the second derivative of o(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 217 - 213. Suppose 0 = 4*g - b*q - 1816, 2*q = -0*g - 2*g + 928. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1\/2))\/j**3*((j*j**1*j)\/j)**(-28)*(j**1\/j)**(-3\/5)\/(j*(j\/(j\/(j**5\/j)))\/j*j*j**(2\/3)) assuming j is positive.\nAnswer: j**(-379\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44107561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 753 = -877. Suppose -12*g + m = -101. What is the smallest common multiple of g and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-27))\/(g*g**(9\/4)) assuming g is positive.\nAnswer: g**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - f = 3*o - 125, -5*o = -3*f - 163. What is the highest common factor of 175 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/2275 and 29\/1625.\nAnswer: 11375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -322 - -318. Which is the nearest to -2?  (a) -9  (b) -0.8  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*s**2 + 162*s + 8*s**2 + 6*s**2 - 12*s**2 - 2*s**2 as n*s + m*s**2 + c and give n.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/4))**13)**32*(z\/z**2*z\/(z\/(z**1\/z))*z)\/(z**(-3\/4)*z*z**4) assuming z is positive.\nAnswer: z**(399\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 5*s + 24. Let p(d) = d - 2. Determine p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09353 rounded to three dps?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/9572 and 31\/134008.\nAnswer: 134008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/60?  (a) -1\/6  (b) -49  (c) 1  (d) 0  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/231 and -1\/16049250.\nAnswer: 176541750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 4, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34 (base 8) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.4  (b) -12  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 521 is divided by 262?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.10254 - -0.89746. Let q = 10 - 5. Let o(n) = n**2 - 5*n + 5. Let r be o(q). Which is the closest to r?  (a) s  (b) -2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/135 and -10\/2943?\nAnswer: 14715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**4 + 691*a**3 + 2823*a**2 + 2109*a - 3. Let d(o) = 3*o**4 + 3453*o**3 + 14109*o**2 + 10547*o - 14. Let i(b) = 3*d(b) - 14*x(b). Factor i(g).\nAnswer: -5*g*(g - 141)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3115 - 2636 + n**2 - 3*n**2 + 5187 to v*n + t + f*n**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 179617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00885465991 rounded to four dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 r when three letters picked without replacement from {o: 3, p: 4, r: 5, w: 1, y: 1}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1446773.\nAnswer: 83, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -2) + 0 + (5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u + 6. Suppose 7*h + 20*h - 216 = 0. Suppose l = -3 + 24. Suppose -h = 2*i + 3*v, 5*i + 60 = 2*v + l. Give a(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3998, -4008, -4018, -4028?\nAnswer: -4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -42*v + 544. Let i = -8 - -24. Calculate the least common multiple of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/4*(-8)\/3. Let o(m) = -m**3 - 7*m**2 - 6*m + 4. Let q be o(f). Suppose q*x - 4 = 3*x. Let w(r) = -r**2 + 5*r - 1. Determine w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 2*m + 57. Let h = 15 + -15. Let k be n(h). Suppose 3*t = k + 69. Calculate the highest common factor of 42 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -9*v - 1. Let j be o(-1). Suppose 5 = -j*l + 21. What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5178910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -7*u + 5. What is the nearest to 0 in u, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1447*l - 27 = -3*b - 1443*l, -3*l + 35 = 2*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 d, and 1 a when three letters picked without replacement from {t: 1, a: 3, d: 1, y: 7, v: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and -0.58 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 1:16 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1088*12\/(-936) - 14.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13828663.\nAnswer: 883, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 147*k**3 - 6006*k**2 + 61347*k = 0. Calculate k.\nAnswer: 0, 143\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2572 + -0.7428. What is the third smallest value in 5\/3, z, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10728 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15168 - 14995. Calculate the remainder when 995 is divided by o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -50 - -19. Let o be (i\/4)\/(2\/(-11432)). Suppose -o - 96201 = -5*h. What is h rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13786 and 915.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2893521.\nAnswer: 3, 964507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -4*x**2 - 6*x - 111. Let t(n) = -2*n**2 - 4*n - 111. Determine -2*s(o) + 3*t(o).\nAnswer: 2*o**2 - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48885.09 litres?\nAnswer: 48885090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003064 to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0  (b) 0.6  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1290 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -324, -2 in decreasing order.\nAnswer: 3, -2, -3, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/9 - 24508*p\/9.\nAnswer: -2*p*(p + 12254)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -9, -3, -1 in decreasing order.\nAnswer: -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 739591.86 rounded to the nearest 1000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-6\/5)\/b)\/b**(-2\/9)*(b**(-1))**(-39))**(1\/13))**(-10\/7) assuming b is positive.\nAnswer: b**(-476\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in -0.3, 6, 15, -6, 0.038?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86 + -82. Solve i*l - 14 = -34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -771.0683 to the nearest ten.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2479 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 981547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 7528*o**2 - 135 + 4*o**3 + 3763*o**2 + 3763*o**2 in the form z*o + h*o**2 + b*o**3 + r and give r.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/24282 and 23\/90.\nAnswer: 121410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g + 4*s - 208 = 0, 26145*s - 26140*s = 2*g - 30 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -417*y + 5. Let c(q) = 89*q**2. Give a(c(v)).\nAnswer: -37113*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42\/4*(-8)\/(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-140)\/1700 - 2\/(-10). Let a = 0 + 0. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.7906 + 1.4906. Let d = 2.5 + -3. What is the nearest to -0.1 in -5, c, 4, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -2*z - 2*z - 12, -a - 24 = 4*z. Let w = a - -19. Solve -s = 4*s - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 85 + -68. Solve m + 2 = -t - 5*r, -3*t + 3 = -5*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/11, -22, -0.3, 0, 4, 3 in decreasing order.\nAnswer: 4, 3, 0, -3\/11, -0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 14952  (b) -0.2  (c) -4  (d) -0.03  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 395 = -5*s, 73 = -0*s + s - 4*p. Let n = s + -84. Calculate the common denominator of 476\/(-64) - (n - 2) and 19\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8944.616 weeks?\nAnswer: 5409703756800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 117453108*f**3 - 127314173*f**2?\nAnswer: 704718648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)\/(sqrt(10)*1))\/(sqrt(72) - ((sqrt(72)*-1 - sqrt(72)) + sqrt(72))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 15*z - 250. Let d be s(14). Put -5, 0, d in descending order.\nAnswer: 0, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 1\/6  (c) -6  (d) -9  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 9 + 5 = 0. Suppose -j + n = -0. Let f be (-1 - -2)*(0 + 1 - j). Solve -2*q - 2 = 3*t - 3, f = -2*t + 5*q - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 31 + (3 - (-4)\/(-2)). Let h = 373 - 284. Calculate the remainder when h is divided by s - (-1 - 3*-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41 - (15 - (12 - -24) - -40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 243408 and 2904.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.31 + -0.05. Let t = -32.26 + s. Let o = t + 31.989. What is o rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 1. Let n = -4 - -9. Which is the second biggest value?  (a) w  (b) n  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1835227347 - 0.1\nAnswer: -1835227347.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*k, -53*k = 5*j - 50*k - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -108*h + 104*h - 16. Put 5, -131, h in decreasing order.\nAnswer: 5, h, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = j + 9. Suppose -5*b + 15 = j. Suppose 4*u = -4*l + 20, b*u + 25 = 7*u - l. Solve u*g - 5 = -c - 27, -4*g - 10 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(18))*6.\nAnswer: 24 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 9*j - 8. Let h be c(7). Let s be 4*(1 + (-3)\/6). Suppose s*z = z. Solve z = -5*l - 2*i - 23, 0 = -h*l + 2*l - 2*i - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 854?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1153 + -130?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -8089*v + 56625. Let w be r(7). Let x(n) be the second derivative of n**3\/6 + 2*n. Let b(s) = 6*s + 1. Calculate w*b(p) - 11*x(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-389)\/30 + (-30)\/(-100). Put -0.1, -5, 2, m in ascending order.\nAnswer: m, -5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22 + 7*v**5 - 13 + v**4 + 31 + (3*v**3 - 2*v**3 + 0*v**3)*(-2*v - 2*v**2 + 2*v) + 8*v**3 + 5*v**5 - 8*v**3.\nAnswer: 10*v**5 + v**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 28*d - 38. Let u(y) = 10. Let g(h) = r(h) + 3*u(h). Give g(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 29, -3, 0, 7 in increasing order.\nAnswer: -5, -3, 0, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**2 - 3*q + 1. Let a(t) = -t**3 - 4*t**2 + 3*t - 2. Let v(s) = 3*a(s) + 4*u(s). Let r be v(-2). Suppose 3*p - r = 8. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 60724550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20.75 - -20.35. Which is the nearest to -1?  (a) y  (b) 5  (c) 2  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**5 + 4*t**5 - 6*t**5)*(10 + 0 - 3).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.019 + 0.019. Let p(a) = a - 9. Let w be p(14). Suppose -w*n = k + 44, -5*n + n - 3*k = 33. What is the smallest value in m, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + o - 20. Let a be (o\/(-7))\/(10\/(-35)). Let q = a + 8. Calculate the highest common factor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21.71784 kilograms to micrograms.\nAnswer: 21717840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**2 - 3*x + 10. Let w(c) = c**2 - c + 1. Determine -p(b) + 5*w(b).\nAnswer: 2*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -357*l + 356*l = 20, -4*l = 11*o + 47 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 231, 336?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 1:07 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19\/18015051 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25311 + 25311 - 692*x**2)*(1 + 1 - 1).\nAnswer: -692*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 136 + -135. Solve 0 = -2*i + 3*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 24 = -2*u. Calculate the smallest common multiple of u and (3 + (-1 - -2))\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 220003953 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48162 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -r + 504. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7887099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -28 - (72 - 243 - -169).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 + 10021212202212012?\nAnswer: 10021212202212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15004 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 375745179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qitcciiciiyt. What is prob of picking 1 i, 1 y, and 1 q?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h = 42 + 118. Which is greater: h or -60?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 + 0*a**3 - 6*a**3)*(2*a**2 - a + a).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -110905192?\nAnswer: 1\/55452596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 6*p**2 + 3. Suppose -5*r - y = -0*y + 31, y - 11 = 2*r. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5b661 (base 13) to base 10\nAnswer: 168065","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 19, 11, -2, 3.\nAnswer: -2, -1, 3, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 7:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8623, -17571, -26519, -35467, -44415, -53363?\n\"Answer: -8948*o + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 549250357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1546796, -1546794, -1546792, -1546790, -1546788, -1546786?\n\"Answer: 2*j - 1546798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*w - 102*w**2 + 167*w - 87*w.\nAnswer: -102*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140)\/(sqrt(42)\/sqrt(6)))\/(sqrt(20)\/sqrt(320)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21571 + 2476.6.\nAnswer: 24047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.388 - -156.612. Let p = t + -162. Which is the biggest value?  (a) p  (b) -0.21  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*g - 3*g - g + 5*a - 71, -13*a + 13 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106018267 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6917.922 rounded to the nearest 100?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2171*q**3 + 7*q**2 - 194.\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 632063?\nAnswer: 23, 27481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - o = 8, -5*w + 4*w + 18 = 3*o. Let h be 1*10*3\/w. Suppose 5*t - 75 = -h*p, -4*p = -4*t + 2*t + 6. Calculate the lowest common multiple of t and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + 2 + 3)*2. Solve -n*v = -2*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 - -21. Suppose -s*n = -n - 255. What is the remainder when n is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 5*f**2 + 7*f**2 - 4*f**2. Let v = 208 + -206. Let r(i) = -137*i + i**2 + i**v + 137*i. Determine c(r(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q + 1. Let j(d) = 4*d - 5. Let y(i) = 5*g(i) - j(i). Let c be y(-5). Suppose 0 = f - c. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42291740 divided by 9\nAnswer: 42291740\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 266*a**3 - 280*a**3 - 3*a + 3*a.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -20. Suppose 4*r + 141 = -x + 60, -65 = j*r + 5*x. Let p be (1 + 1)*4\/r. What is the nearest to 1 in 1, p, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x + 14 + 26 = 0. Let k be (-4)\/x*(-10)\/(-4). Solve -4 = -4*h - 4*u, h - k*h - 2*u - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-2 - -1)*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -1 - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -130 - 683?\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q**3 - 46*q**2 - 10*q + 77. Let m be z(-15). What is the smallest value in -0.3, -2, 0.37, 0, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-1*60\/280*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -483*c**4 - 240*c**2 - 419*c**2 - 149*c**4 - 73*c**4 + 106*c**4 wrt c?\nAnswer: -14376*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1761756 (base 8) to base 2\nAnswer: 1111110001111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10517 + -10509. What is the least common multiple of (0 - 4)*(-4)\/8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 975899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*y + 41*y + 425 = 0. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 14) in base 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 315\/(-105) + 0 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 864871 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 849134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.7903091523624 + 0\nAnswer: 0.7903091523624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2662 = 2*f - 2*r - 2682, -5*r = 50 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + 2*g + (-10*g - g - 3*g)*(-1 - 3 + 3) - 2*g + g + 2*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1586.305884 rounded to zero decimal places?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2*sqrt(13)*-2)**2)*4.\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**5\/4 - 255*x**4\/4 - 7545*x**3\/4 - 86265*x**2\/4 - 65610*x - 59049.\nAnswer: -3*(x + 2)**2*(x + 27)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t**2 - 1866*t + 4*t**2 - 1867*t + 3723*t.\nAnswer: 10*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.85  (b) 4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) 0.1  (c) 3  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 962 = 2*p, -2*p = -4*m - 648 - 296. Let q = p - 452. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/2 - 1\/(-2). Let x be 124\/10 + (-6)\/15. Let q = x - h. Calculate the smallest common multiple of 3 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = w - 4*w. Let a = -65\/3 - -22. Put a, w, 1 in ascending order.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 + 5*v**3 - 2*v**3 + (1 - 1 - 2*v**2)*(0*v + 4*v - 2*v) + 3 - 10 + 2*v**3 + 237*v**2 - 244*v**2 as o*v + d*v**2 + z*v**3 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/6 + (-5820)\/2250?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, y: 2}. Give prob of sequence yx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-1*sqrt(132))\/sqrt(12))**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 354326298*p**3 + 362633910 wrt p?\nAnswer: 1062978894*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 215059  (b) -2\/3  (c) -352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 477891?\nAnswer: 3, 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z. Let d(x) = -240*x - 6. Calculate d(y(b)).\nAnswer: -1200*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -49*(-10)\/(-35)*(-12)\/14. Suppose 23 = d - 349. What is the highest common factor of d and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11921633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7550 - 10574. Does 11 divide c\/(-135) + 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1903172334.\nAnswer: 2, 3, 7, 45313627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*3 + 14\/(-7). Let u be (-9)\/(-15) - p\/5 - -4. What is the units digit of (u\/10)\/((-2)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, -1\/12, -0.02, 3\/7, -0.3 in decreasing order.\nAnswer: 3\/7, -0.02, -1\/12, -1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 238633116 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/2 and 68\/3956697.\nAnswer: 7913394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -328*u + 23612. Determine w(72).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*k**2 - 4)*(k**3 + k**3 + 2*k**3) + (-2 + 4 + 0)*(0*k**2 - k**5 + 0*k**2) + 0*k**5 + 0*k**5 + 6*k**5.\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 7*a + 5. Let w(t) = 19*t**2 + 25*t - 16. Let s(n) = -w(n) - 3*x(n). Let i(b) = 5*b**2 + b. Calculate 7*i(m) + 2*s(m).\nAnswer: 3*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 7) to base 12\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*v = -2*f + 87, -2*v + 2 = 0. What is the remainder when 65 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (96\/(-112))\/((-6)\/2). Let m = -3 + 1. What is the second biggest value in m, -5, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -385 divided by -77\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*m + 465 = 13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2823*t = 292404 - 46687 - 33992 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -19*z - 9. Let a(g) = 76*g + 18. Let o(n) = 90*n + 16. Let i(k) = -3*a(k) + 2*o(k). Determine -5*i(d) + 12*u(d).\nAnswer: 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73690480 or -73690490?\nAnswer: -73690490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 247288, 247290, 247294, 247300, 247308, 247318, 247330?\n\"Answer: q**2 - q + 247288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35.83*5.\nAnswer: 179.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 15. Suppose 6*u - u = 4*k + 16, -k - 4 = 5*u. Let o be (k\/(-28))\/(4\/14)*0. Determine f(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 4*m + 0 - 6 + 5*m. Let o(h) = h**3 - 28*h**2 + h - 24. Let q be o(28). What is the remainder when i(q) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r + 2. Suppose -2*w = -1 - 7. Let s be -2 - (0 - (2 + w)). List the prime factors of p(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.3  (b) -1\/5  (c) -0.51896  (d) -1\/8  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-6))\/((-1)\/(-3)). Let l be 2\/j - 1 - -28. Suppose 0*p + 4*p = 12. Solve -4*q + b = q - 22, 5*q - p*b = l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 231750 + 104414. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m = -4*v - 139, -2*m - 5*v = -252. Let i = m - 86. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n = -20. Suppose -a + 3 = 4*i, a = -n*i - 4*a + 15. Let g(h) = h**2 + h + 6. Let s be g(i). Solve 4*m - 2*m = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3567729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(-6*f + 3*f + 2*f) + (0 + 4 - 5)*(-2*f + 3*f - 2*f) + 3 - 3 + f + f - 3*f - f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 72905 take away -0.1?\nAnswer: 72905.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 1)*((2 + 3 - 3)*(-3*x - 3*x + 3*x) - x + 5*x - 3*x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4*146\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 3:29 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*b = 12, -2*r - 2*b + 12 = -b. Suppose 223 = j - r*c, -5*j + 2*c = 4*c - 1115. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**2 - 6*a*l*q - 2*a*l - 36*a*q - 2333*l*q wrt a?\nAnswer: -2*a - 6*l*q - 2*l - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6692 to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 209189 + 980811. Round o to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-seven halves of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 12:19 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 546 = -9*o - 7*o. Put 2, o, -3\/8 in decreasing order.\nAnswer: 2, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -2*m + 149, -6*w = -m - 2*w + 81. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(3*sqrt(2736) + sqrt(2736) + sqrt(2736))*-6)*4 + 5.\nAnswer: 1 + 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 6, o: 6, a: 4, q: 1}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 116487289 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176 is divided by 18\/((-4)\/(-192)*18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1292\/6*1602\/4539. Solve -19*h - 209 + n = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + c + 1. Let m(y) = -9*y**2 - 3*y - 2. Calculate m(b) + 3*t(b).\nAnswer: -6*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.030920323 to 4 dps.\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43 + -36 + 3 + 5 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**5\/5 - 6*r**4 + 144*r**3\/5 - 216*r**2\/5.\nAnswer: 2*r**2*(r - 6)**2*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 28074 divided by -14037?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hochx. Give prob of picking 2 h, 1 x, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 3243 = 12693. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 639?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 + 66294*x + 1925049.\nAnswer: -3*(x - 22127)*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/(-66) + 1\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8981\/1258 - -287\/37. Let h = -2\/17 + l. Let m = 3035.9 - 3036. What is the closest to m in 0.1, -1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 755.9999065 - 756. Round j to 6 decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 divided by 12?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 + o - 22. What is the remainder when k(-7) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41153679119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -135 - -305. Calculate the highest common divisor of t and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11569 - -11568.96975. Which is greater: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101100111101110011101 (base 2) to base 6\nAnswer: -51325245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (11 + (-5 - (1 - 8)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -5868233 <= -5868235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/3*(5 + -2). Let x = 9 + -7. Suppose 3*a - 65 = 5*o, 0 = -o + 1 - x. Solve m*z + 4*g = -g - 10, -g = 4*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/6)\/(-4)*(-16)\/200*-3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1071*n**2 - 355*n**2 + 441*n**2)*(0*n - 2*n + 5*n) - 3*n**3 + 2*n**3 + 2*n**3.\nAnswer: -2954*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-120)\/(-8))\/(-135) + 16\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13900 + 13907. Solve -i + f = s, 5*i = -74*s + 71*s + 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*t + 4*t = -40 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -665328106?\nAnswer: -665328105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1370 = 176*z + 438 - 756 - 952 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -s + 0*s**3 - s**4 + 0*s**4 - s + s**3 as y*s**3 + k + p*s**2 + l*s**4 + r*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 8) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -28 + 24 + 1 + 7 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4401588?\nAnswer: 2, 3, 349, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86 + 80. Let y be (-27)\/15 - v\/2. Let d = y + -13\/15. What is the nearest to -0.1 in -2\/5, d, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -38 and -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1, 22443, -6.\nAnswer: -8, -6, -1, 22443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20044243310 + -4?\nAnswer: 20044243301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.22252 to three dps.\nAnswer: -0.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 1. Let i(b) = -4*b**2 + b - 56. Let a(r) = 6*f(r) - i(r). Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59041814*l**2*w**2 + 9*l*w**2 - 3*l*w - 756*w - 90 wrt l?\nAnswer: -118083628*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1112.07 - 1121. Let d = -0.07 + m. Let h = d + 7.97. Round h to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20322 (base 5) to base 16.\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3210 and 6861165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -32*i**3 - i - 1. Let v be b(-1). Differentiate 2*m**3 + 2*m**3 + 4*m**3 + 27 - v wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -7*x + 3*x - 4, -2*c + 4*x = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 36*v + 472. Let y be x(-13). Solve 8*g = -y - 36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-7)\/3)\/((-1)\/6). Suppose 5*y + s - 9 - 7 = 0, -5*y + s = -b. Let z be 2\/3 - (-13)\/y. Solve -2*g + z*k = -15, -26 = -5*g - 2*k + 3*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4590, -4592, -4596, -4602?\nAnswer: -4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y. Let o be -9*(-3)\/(-6)*12\/9. Let a(u) = -8*u - 1. Give o*n(q) + a(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10153511 to the power of 1\/2, to the nearest integer?\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/12 - 10\/(-8). Suppose 39 = 2*w + z + 4*z, -5*w = d*z - 45. Solve -w*h + 25 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -666970260 divided by -3?\nAnswer: 222323420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 11. Suppose -2*s = x*w - 11 - 15, 2*w + 4*s = 28. Let f be 0\/(-2) + w + -1. Solve -f*h = 2*q + 1, h - 5*q = -4*h + 40 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -163, -164, -165, -166?\n\"Answer: -i - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2826)\/(-117) - 25) + -5*(-4)\/(-130).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003 + 0.505496?\nAnswer: 0.508496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 40 = 7. Let f be (-2)\/(-3) + (-11)\/q. Let x be f\/(-2)*-6 + 0. Solve x*d + 5 = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -4 - 6. Let d(o) = o + 2. What is the smallest common multiple of d(0) and 3\/i*224\/48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -14 + (-13 - -18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-45)\/(-10))\/(1\/(-2)). Let o = 12 + g. Let -50\/9*d**o - 40\/9*d**2 + 0 - 8\/9*d = 0. What is d?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 8) + 2 + -8 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4230571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3363813979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lwir when four letters picked without replacement from rlwwwiirrw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -164\/3 - 2\/9*m**2 + 170\/9*m.\nAnswer: -2*(m - 82)*(m - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2300 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 8*o - 3. Let l = 108 + -38. Let u(q) = -l*q**2 + 130*q**2 - 58*q**2. Give r(u(a)).\nAnswer: 16*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 7:44 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 567\/(-90)*210\/756.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -k - k - 4*o, -4*k = 2*o - 10. Suppose 5*u - 5*s = 25, -7*u + k*u = -3*s - 19. Solve 20 = -3*h - 2*h + u*v, 0 = -3*h - v + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -8*c**5\/5 + 22*c**4\/5 - 18*c**3\/5 + 2*c**2\/5 + 2*c\/5 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000000010100 - -1?\nAnswer: 1000000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -343*-45298.\nAnswer: 15537214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(-1 - 6\/(-3)). Let c = -4 - -3.7. Let j = c + -0.1. What is the second biggest value in 0.1, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 0. Let o = 57.9 + -55. Let r = -3 + o. Which is the biggest value?  (a) -4  (b) j  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -2\/5  (c) -3  (d) 21  (e) -5  (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -19. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 1:54 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 169, -8, -307, -728, -1271, -1936?\n\"Answer: -61*q**2 + 6*q + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 555857544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93293 divided by -50.\nAnswer: -93293\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 6 + 10 = -2*t + t, 1 = 56*t + i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3 + 30*o**2 - 63*o.\nAnswer: -3*o*(o - 7)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 1:31 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1059 - -1079. Suppose -u = -2*o, u - 5*u - 2*o = -x. Let g = 1 + -1. Solve g*j = -h + 4*j + 4, 0 = -u*h - 3*j + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26 and -0.3?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - 2) + 45 + -90 + 24 - (-1 - 23)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1020001 is divided by 98?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75 by -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 6. Suppose -7*h + 11 = -j*h - 3*s, -3*h + 33 = s. Suppose -m - m = -h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3566 + -3503. What is the greatest common factor of 99 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + 6)\/(-3 - -2). Find the common denominator of (n + (-66)\/(-20))*(-96)\/99 and 53\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from {e: 2, k: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20649240*p**2 + 20525358*p.\nAnswer: -41298480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 345\/161)\/1*1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -g + 416. Is 46 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -100172994050351 and 0.2.\nAnswer: -100172994050350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 1106*b = -1101*b + 2, -5*k = -b - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7\/13 - -1\/26. Suppose 11*w + 17 = -27. Which is the closest to -0.1?  (a) s  (b) 3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -839 in 0, 8, 0.3, 5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-148)\/(-222))\/(2\/6). Solve 3*p = u*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 15*a**2. Suppose 56 = 9*p + 38. Let i(x) = 4*x**p + 123*x - 123*x. Give i(t(s)).\nAnswer: 900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 0.04713.\nAnswer: 0.018852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*z**2 + 2*z - 2*z**2 - 82 - 15*z**2 - 8*z**2 wrt z?\nAnswer: -44*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58 - 56. Suppose u*x = -3*c + 130, 3*c = x + 5*c - 65. What is the remainder when x is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 12:44 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19053993 and 7203?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -188256609\/30055 - 380\/6011. Let b = -6299 - k. Let g = b + 35. Is -1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/(-6)*(280\/(-3))\/7. Solve 2*q + 5*h = 15, -q - 4*h - h = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*f + 40 = 0, 0*w - 4*w + 40 = -3*f. Suppose -4 = -n, -5*n + 8 = -3*m - m. Calculate the remainder when w is divided by (0\/m)\/(-5) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24608220 and 2925.\nAnswer: 369123300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2328 and 788028?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28485808 by -1.\nAnswer: -28485808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190*x**3 + 92*x**3 + 140*x**3 - 48*x**3.\nAnswer: 374*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k**3 - 56*k**2 + 321*k + 63. Give c(5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89.1342 months to decades.\nAnswer: 0.742785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - -21) + (-12 + -4 - (0 + -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -6 + (-1 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*x**2 + 21064*x - 50*x**2 + 963*x.\nAnswer: 2*x**2 + 22027*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6453?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5759, 22839, 51287, 91103, 142287, 204839, 278759?\n\"Answer: 5684*x**2 + 28*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/6, -9, 3, 5 in increasing order.\nAnswer: -9, -7\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22631667 + 6031667. Round g to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2023*n - 39 = 2010*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -265627 and 56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15485 = 4061*y - 1123*y - 10624 + 15705 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1712*w + 149. Is r(-88) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 3.4, 3814\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.233394 + 0.15.\nAnswer: 2.383394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1493*n + 1790*n + 4736*n + 304*n + 963*n.\nAnswer: 9286*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**7\/5040 + i**6\/360 + 2*i**5\/5 + 26*i**2. Let u(a) be the third derivative of x(a). Calculate u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -15 and -3220574.\nAnswer: 48308610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t. Let j(i) = -28*i - 86. Give j(a(f)).\nAnswer: -28*f - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2278 and 102?\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 4*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1326, -2758, -4292, -5922, -7642?\nAnswer: -9446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47 + -43. Suppose -2*h = -g*x + 56, -3*x + h + 64 = 5*h. Let m(z) = 14*z**2 + 2*z - 4. Let y be m(3). What is the highest common factor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 579053458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -6 - (0 - -1)) + (-10764 - -10766).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210200220122200 - -12?\nAnswer: 210200220122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g + 4130969 = -3711891. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 - -18. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -6\/7, -86, 7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(11) + -1 + sqrt(11)) + sqrt(11) + (sqrt(77)\/(sqrt(7)*2) - sqrt(11)).\nAnswer: -3*sqrt(11)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1033768284 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1290813 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12523 - -5?\nAnswer: 12528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -871, -1067, -1253, -1423, -1571, -1691, -1777, -1823?\n\"Answer: c**3 - c**2 - 200*c - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*k + 179656 = 180386 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 13)*1392\/928?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 2*q - 4. Let a be t(3). Suppose 70*c - 21*c + 40*c = 0. Factor c - 1\/3*i**3 - i**a - 2\/3*i.\nAnswer: -i*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 354496721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 4*k + 32. Let b be c(-7). Let d be b\/1 - (-980 - 0). Suppose 2*q + 1631 + d = 5*m, -m + 546 = -5*q. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 894164580.\nAnswer: 2, 3, 5, 67, 74143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 - 33466*h - 39086*h - 55058*h.\nAnswer: -2*h**2 - 127610*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3596792 divided by 424.\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 4*h - 121. Give d(20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 + 34*i - 55. Let w be c(32). Let z be 7\/(-14) - w\/(-6). Sort -2, 0, 10, z in descending order.\nAnswer: 10, z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273348 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: Solve u**3\/2 + 3*u**2\/2 - 12*u + 14 = 0 for u.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 112*s**5 + 0*s + 161019 - 161397 - 2*s wrt s.\nAnswer: 2240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*w + 5 = 34*w + 3*d, 18 = -6*w + 4*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*v + 200, -2*v = -a - 0*v + 197. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 13*k**4\/2 - 17*k**3\/3 - 17*k**2 + 11*k - 26. Let f(d) = -7*d**2 + 3*d + 3. What is 68*f(h) + 6*y(h)?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 188*c*g**4*v - 3*c*g**2 - 3162*c*v + 3*g**4 + 260*g**3*v + 5*g*v wrt g.\nAnswer: 4512*c*g*v + 72*g + 1560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b + -ad2?\nAnswer: -ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 3 = 2*u. Let f be 9\/4 + (-6)\/u. Does 4 divide f\/2*20\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*m + 0*m + m)*(2*m + 2 - 2)*(5 + 262 - 34) to the form o*m + s + j*m**2 and give j.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from {s: 7, y: 2, f: 6}.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -47*b**2*s**2 - b*s**2 - 26*s**2 + 5 wrt b?\nAnswer: -94*b*s**2 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*i - 12 = 0. Let n(z) = z**3 + z**2 - 183*z - 526. Let r be n(-3). Solve -4*k - 27 = r*u, -18 = i*u + 5*k - 2*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56563 (base 7) in base 8?\nAnswer: 34021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/4*(13 + 1). Let a = -41\/2 - x. Let z = 3.25 + 0.75. Sort a, 0, z.\nAnswer: 0, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-165)\/42*1\/(-10) and -1 + 8\/((-640)\/(-265))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 8, w: 5, q: 2, v: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2  (b) 1\/11  (c) -2\/13  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2 - 141*d - 141. Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -135*f**2*n**2 + 2*f**2*n - 25*f*n - 2*f + n**2 wrt f.\nAnswer: -270*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - 2*y + 6*y)*(4 - 2 - 4) + (5 + 2 - 5)*(-2*y + 3*y - 2*y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -0.4  (c) 14  (d) 85730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -4*m + 6, -38 + 181 = -2*v + 64*m + 77 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162.5 + -146. Let z = 8.5 - t. Sort z, 3\/4, 2, 3.\nAnswer: z, 3\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/6721 + 309137\/194909. Find the common denominator of -11\/4 and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -270*h - 14. Let u be j(4). Let z = -1880 - u. What is the units digit of 8\/(-28) - z\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 12, 9, 0, -15, -36, -63?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is aa207 + -67?\nAnswer: aa170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1597882736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 857 = -5*v, l + 2*v - 893 = -2*v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 + 5 - (1 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4515.9  (b) -9  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -26*h**3 - 141*h**2 + 1772*h. Let y(m) = -39*m**3 - 211*m**2 + 2659*m. Let b(f) = -14*n(f) + 9*y(f). Find the second derivative of b(r) wrt r.\nAnswer: 78*r + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 247, 243, 239, 235, 231, 227?\n\"Answer: -4*j + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1313\/6 + 45601\/210. Let p be (-2117)\/(-1015) - (-1 - 27\/(-15)). Let r = p + f. Is 0.2 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 14*l**2 + 6. Let w(f) = -15*f**2 - 5. Determine 3*t(n) + 4*w(n).\nAnswer: -18*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 429 - 670. Let p = s - -245. Let k(v) = -3*v - 2. Give k(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 4*p**2 + 7. Let s be t(5). Suppose -w = -4*z - 44, -z - s = -2*w + w. Let k = -24 - -34. Calculate the remainder when w is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 6*g - 6. Let s be l(-7). Let c(q) = 0*q + 3*q - 4*q + 1 + 14*q**3 - q**2. What is c(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*x = 13. Let h = 0 - x. Let r = h - -29. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*a + 3*q, 0 = q - 2 - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186938*z - 2112 = 186762*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*z = 7074, 3*x - 3*z + 13444 = -7802. Which is smaller: -21257\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -232332?\nAnswer: 232334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((15\/12)\/((-392)\/448))\/(1\/42)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/1950 and -137\/390?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**3\/3 - 9*d - 4. Let n(z) = 18*z**2. Let w(k) = -k**2. Let y(x) = -3*n(x) - 48*w(x). Determine t(y(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + (sqrt(288) - -3*sqrt(288)))\/sqrt(6))**2 + sqrt(15)\/sqrt(5)*-3 + (sqrt(12)*-1)\/sqrt(4).\nAnswer: -4*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 43 + 88 = 0. Suppose 40 = l + 4*o, 3*o + 102 = -180*l + 182*l. Which is the second biggest value?  (a) m  (b) l  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of -1\/12*o**4 - 8*o**2 + 0*o**3 + 0 + 0*o. Let t(y) be the second derivative of y**4 - 3*y. What is n(t(k))?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -116*y**4 - 4*y**3 + 12896.\nAnswer: -464*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -124, 2 in decreasing order.\nAnswer: 2, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j**3 + 15*j**2 - 116*j - 65. Give n(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 46186337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 6. Solve -2*u + n = -6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -211011120 (base 4) in base 9?\nAnswer: -251323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*f**2 - 7*f**2 - 21*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15939 + -10922. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from xixiiiiiii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 3, g - a - 5 = -6*a. Let u be g\/45 - 104\/(-18). Let p(d) = d**2 - 4*d + 2. What are the prime factors of p(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 + 37 + 22*u + 17.\nAnswer: 22*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 16087 and 0.010287.\nAnswer: 16087.010287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 83*u**4 - 2 + 488*u**2 + 494*u**2 - 979*u**2 - 2*u in the form d*u**4 + m*u + s*u**2 + c*u**3 + l and give d.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, c: 5, x: 8}. Give prob of picking 2 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6*(-7)\/924 + (-28440)\/(-6160)\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 5\/6*w**3 - 1\/2*w**4 + w + 0. Find the second derivative of n(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2802074081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 0.10271998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -130. Suppose -v = 2*q - 107, 0*v + v = -q + b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69437321.\nAnswer: 69437321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b**2 - 4*b. Let h(p) = -4*p**3 + 9*p - 13. Let g be h(2). Let k = 13 - 9. Let f be k\/6 + 315\/g. Let u(j) = -7*j**2 - 7*j. Give f*s(t) + 6*u(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 362*k + 517*k + 628*k to the form w*k + p and give w.\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3168082, -12672279, -28512592, -50689027, -79201590, -114050287, -155235124, -202756107?\nAnswer: -256613242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v. Let o = 19158 - 19158. Let y(x) be the third derivative of o*x**3 + 0*x**4 - 40*x**2 + 0*x + 0 + 1\/30*x**5. What is n(y(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2a5 - 3?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/72 - 1\/4. Let o = j + 1\/3. Which is the third smallest value?  (a) o  (b) 0.4  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + 0.2. Let y = -1 + 1.1. Which is the closest to y?  (a) 5  (b) 2\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1192988 is divided by 73.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 678.3 - 1.047855297\nAnswer: 677.252144703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*l**2 - 3*l**2 + l**2)*(-17*l + 56*l - 345*l) in the form q*l + j*l**3 + c + k*l**2 and give j.\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 7571482*j. Let a(v) = 6*v**2. What is w(a(n))?\nAnswer: 45428892*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, w: 1, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k**2 - 17*k + 7. Suppose 30*n + 100 = -83 - 57. Give x(n).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 256 - 141. What is the highest common divisor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -189 in -52, -0.4, 0, -5, -10?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -405*i + 3. Let a(j) = 253*j - 2. Let w(d) = 8*a(d) + 5*f(d). Let g(x) = 25*x - 4. Calculate -g(t) + 4*w(t).\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*u + 4*u. Let w(q) = -3*q - q + u*q. Let d(z) be the third derivative of -z**4\/12 + z**2. Determine d(w(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -279 - -279.2. Let o = -15903\/37 + 430. Let j = 137\/333 - o. Which is the second biggest value?  (a) j  (b) h  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-2)*y**6*y**(-3\/7)\/y)**(-7\/2) assuming y is positive.\nAnswer: y**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 322403506*z**5 + 459942197*z**2 + 2*z wrt z.\nAnswer: 19344210360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 283225702\/3 != 94408567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -6. Let y = -169.84 + 166. Let s = 0.84 + y. What is the closest to i in 5, 4\/7, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 86255*n - 603571. Determine j(7).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**3 + 3*u**3 - 4*u**3)*(-14 - 810*u - 816*u + 1656*u).\nAnswer: 30*u**4 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1390*m**2 + 1337*m**2 - 1294*m**2 to the form z + y*m**2 + l*m and give y.\nAnswer: 1433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + z - 1. Let q(d) = -2*d**2 - d + 1. Suppose 3*y + 3*n + 9 = 0, y - n - 1 = -8. Let o = 0 + y. What is o*u(f) - 4*q(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 43.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -14, -25, -38, -53, -70, -89?\n\"Answer: -p**2 - 8*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 7*y + 4. Let n be -2*((-1)\/1)\/1. Let v(h) = -3*h - 2. Let s(c) = n*t(c) + 5*v(c). Differentiate s(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 10*b**3 + 40*b**2 + 65*b + 25. Let p(q) = -9*q**3 - 40*q**2 - 65*q - 26. Let k(j) = 5*p(j) + 4*s(j). Solve k(w) = 0 for w.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -m**6\/90 + 14*m**5\/15 - 98*m**4\/3 - 41*m**3\/3 + 33*m - 2. Let a(p) be the second derivative of h(p). Factor a(c).\nAnswer: -4*(c - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of 139*g**4\/24 + 5*g**3\/6 + 5*g**2 + 6. Let u(h) = h**2. Calculate f(u(w)).\nAnswer: 139*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - 71 + 23. Let r = -15 - f. Calculate the least common multiple of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 800.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -427, 265, 1\/2 in increasing order.\nAnswer: -427, 1\/2, 2, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 3*l - 2. Let c be 2*(-2)\/4 - -1. Suppose c - 4 = -2*q. Let m be i(q). What is the highest common divisor of 88 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (0 - 6) - (5 + 18 + -55).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 - -43. Solve -30*q = -33*q - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5815\/(-2326)*(2 + 48\/5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1)*l**(1\/9))\/(l**(-1\/3))**36 assuming l is positive.\nAnswer: l**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -974505*m**3 + 2281332*m**2 - m wrt m.\nAnswer: -5847030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2351755 (base 10) to base 8.\nAnswer: 10761213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(32)\/sqrt(16))\/sqrt(4) - (5*sqrt(320))\/sqrt(10)).\nAnswer: -39*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45487118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -14793.4648007?\nAnswer: -14793.5648007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -202*j + 285.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = -26*r - 22*r + 89 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 3976*h + 4 = -3975*h, -5*r - 20 = -4*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 71711 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4191*t**6 - 813*t**2 + 2 wrt t?\nAnswer: -502920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/v**14)**(9\/4))**24 assuming v is positive.\nAnswer: v**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/2  (b) 0.5  (c) 3577  (d) 30  (e) 1  (f) 1\/11  (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 741. Let x(m) be the third derivative of -m**4\/12 - m**3 + 20*m**2. Give s(x(v)).\nAnswer: 4*v**2 + 24*v + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-14)*(-4888)\/(-74542)?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.5343 or -2706?\nAnswer: -2706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*m**4 - 3*m**2 + 3*m**2 + (8*m**2 + 4*m**2 - 5*m**2)*(2*m**2 - m**2 + m**2).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1900 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 664 - 450. Let n = i - 401. Let l = n - -266. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that n**2\/2 - 148*n + 3510 = 0.\nAnswer: 26, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (136\/544*64\/(-10))\/(((-18)\/(-435))\/3)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 581 + -552. Solve 5*s + 0*s + 21 = -w, 5*s - w = -d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.591 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/46 smaller than 2.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 7*q**6\/120 + q**5\/10 - q**3\/3 - 32*q**2. Find the third derivative of u(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.46 times -0.9\nAnswer: 0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -43 - (-4 - -4) - (-1146 - -1126)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6167730 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 7.6  (b) -64  (c) -1  (d) 2\/3643\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3\/(84\/8) + (-292)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaalaaa. What is prob of sequence al?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, w: 3, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -9\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.06556347 + 2953478.06556347. Let q = 2953477.4000015 - h. Let l = q + 0.6. What is l rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.1 or 4\/13567?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -2, -2.9, -14\/15?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**2 - 4*o - 5. Give u(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3840, -15460, -34846, -61992, -96892, -139540, -189930?\n\"Answer: u**3 - 3889*u**2 + 40*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4021*q = -15029*q - 177210 + 892730 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10461091, -10461093, -10461095, -10461097, -10461099?\nAnswer: -10461101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.08 in 0.5, 251, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3765633 is divided by 189?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 533780 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 335212.\nAnswer: 2, 181, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/((-14)\/(-3674)) - (0 + (-3)\/3).\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ab7 (base 13) in base 3?\nAnswer: 2112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.3 and -17735636?\nAnswer: 17735634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -668.32 + 666. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10076066 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8b4 + -4?\nAnswer: -8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (376\/((-4)\/1))\/(((-180)\/(-10))\/(-9))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**2 - 2*y**2 - 2*y**2 + 5*y - 1 - 3 + 61*y**3. Let s = -2096 - -2097. What is the tens digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 3, -2327, -3, -117, 5 in increasing order.\nAnswer: -2327, -117, -5, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 6*u**2 - 6*u - 3. Let l be g(7). Suppose -l = 2*h - 12. Solve -2 = -5*z - 2*f, -h*f = z + 3*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 46256\/21*6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8157708 millilitres in litres?\nAnswer: 0.0008157708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-23)\/18 + 27\/18. Suppose -2*s + 10 = 2*c - 0*s, -10 = c - 2*s. Find z, given that -2\/9*z**2 + c + 2\/9*z**4 + u*z - 2\/9*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6723840 divided by 30\nAnswer: -224128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 469064 and 3152386.\nAnswer: 214362248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -0.2, 2192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 292 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 - -1 - (108 - 163).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 6898724*d - 6.\nAnswer: -6898724*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -5*v - 5*y, v = 3*y - 16 + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 441455305 (base 6) to base 9.\nAnswer: 15816165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 0.1754\nAnswer: -0.5262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3)\/((-2)\/(-6)). Let r(k) = -2*k - 13. Let u be r(-9). Suppose i - 2*y - 3 = 0, 5*i - 18 + 3 = u*y. Calculate the highest common factor of i and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y - y - 12 + 2)*(0*y + 4*y - 2*y) as j + x*y + b*y**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 10 = 18. What is the remainder when 468\/8*6\/9 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {r: 1, f: 1, l: 1, i: 3, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2)\/(o*o\/((o*o**(2\/13)*o)\/o)))\/((o\/o**(1\/3))\/o**(-1\/7)))**3 assuming o is positive.\nAnswer: o**(-998\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6766 - 1?\nAnswer: -6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -291597.3 * -0.4.\nAnswer: 116638.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16974 = 1250*a + 636*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n + 2. Let d be m(5). Let q = -0.398 - -4.168. Let o = -3.57 + q. Which is the nearest to 1?  (a) o  (b) 0.4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-52)\/(-20) + -3)\/(22\/10). Let p = l - -37\/143. Let g(w) = -w**3 + 6*w**2 + 1. Let d be g(6). Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3061 by 3061.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**3 - 5*b**2 - 22*b - 17. Let v be s(9). Suppose 3*k + 3*y = 2454, 8*k = 7*k + 3*y + v. What are the prime factors of k?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + w**2 + w. Let z(k) be the first derivative of k**3\/3 - k**2 + 6. Calculate 2*x(r) + z(r).\nAnswer: -2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 73, -35 in increasing order.\nAnswer: -35, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 67.488 and -863119.4.\nAnswer: -863051.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*o - o**3 + 4*o**4 + 0*o**4 + 4*o to a*o + s*o**2 + u*o**3 + m*o**4 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17143, -18778, -20411, -22042, -23671, -25298?\nAnswer: -26923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86487747 to the nearest integer?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -20, 2 in descending order.\nAnswer: 3, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.496459ug in nanograms?\nAnswer: 1496.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 12:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 171*c - 170*c + 352478, -493493 = -7*o - 2*c. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**4 - 1214*w**3 + 255505*w**2 + 73199100*w = 0?\nAnswer: -156, 0, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 303 + -624. Let m = -327.97 - k. Let w = m - -7. Are 1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104230532 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -12*b**4 - 8*b**3 - 17*b + 323. Let w(t) = 4*t**4 + 3*t**3 + 6*t - 108. Let y(k) = -6*o(k) - 17*w(k). What is the first derivative of y(x) wrt x?\nAnswer: 16*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19822 is divided by 76.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2099*u. Let v(z) = -8*z. Give p(v(m)).\nAnswer: 16792*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of o**3\/3 + 5*o**2 - 2*o - 1. Let v be l(-7). Is (1 - v) + -2 + 0 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 20 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, n: 1, s: 10, f: 2}. Give prob of picking 1 n, 1 o, and 1 f.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -8. Let d = -4.0166 - g. Round d to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 4, -1, -1\/193, 0.06, -7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 0*f**3 + 0*f**2 + 0*f**5 + 0 + 1\/2*f**7 + 5\/3*f**4 + 0*f**6 - 4*f. Find the third derivative of s(i) wrt i.\nAnswer: 1260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 - 436\/7. Let o = 94 - 66. Let n = o - 27.6. What is the nearest to r in n, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 88 = c, 191 = -2*c - 5*v + 2*v. Which is smaller: -111 or c?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 120*h + 198. Is u(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 divided by -1005094?\nAnswer: -157\/502547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -18513481007477 from -0.3.\nAnswer: 18513481007476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 53, 87, 123, 161?\n\"Answer: w**2 + 31*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7980 and 55139.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 118 = 361. Suppose -44 + 7 = -w - 4*y, 3*y = -3*w + 129. Let h = l - w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 896 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -3*s - 5*j, 0*j - 74 = -2*s + 3*j. Let q = 33 - s. Solve 3*r - q*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1212025671?\nAnswer: 3, 2557, 52667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.52 + -29. Let l = i - 0.02. Sort -3, l, -1 in decreasing order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 6*c**2 + 5*c - 8. Calculate i(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 513.3 - 506.3. What is the fifth biggest value in 5\/3, -4, -0.4, h, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/(-18))\/((-7)\/(-6)). Put -0.5, -5, o in descending order.\nAnswer: -0.5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v*v\/v**(-26\/3)*v*(v*v**31*v)\/v*v*v**(14\/5)*v\/v**(-26) assuming v is positive.\nAnswer: v**(1132\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jhpd when four letters picked without replacement from {v: 1, h: 1, p: 3, b: 5, d: 1, j: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 7*f**6\/36 + 8*f**5\/15 - f**4\/24 - 5*f**3\/9 + 1923. Suppose z(a) = 0. Calculate a.\nAnswer: -2, -1, 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 6*t. Suppose -3*m - 195 = -t*m. Let w = -33 - m. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*q = 86, -5*a + a = 5*q - 170. Calculate the greatest common factor of a and 3285.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -919*v**3 + v + 2. Is t(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -45.96 + 46. Let j = b - 0.0399936. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*c + 71*c + 101239 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1283190929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 2.8. Let x = 0.68 - 0.18. What is the smallest value in x, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(34) - 4*sqrt(238)\/sqrt(7))*-2)\/(-1*-6*sqrt(2)*-2)*-1*-2.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 248, 2169, 7496, 17975, 35352?\n\"Answer: 291*f**3 - 43*f**2 + 13*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2808 + 19.\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 + 4*v**4 - 2*v**4 + 0*v**4 + 2*v**4 - v**4 + (6*v**2 - 2*v**2 + 0*v**2)*(-5*v**2 - 4*v**2 + 0*v**2).\nAnswer: -34*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5718754, -5718766, -5718786, -5718814, -5718850, -5718894, -5718946?\n\"Answer: -4*k**2 - 5718750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**2 - 2348*h + 718696. What is n(252)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 388679637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 160 = -2*v. Suppose -2*q - 4*i + i - 39 = 0, -4*i + v = -5*q. Does 10 divide 15\/(-2)*32\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**5 - 3*f**4 + 3*f**4 + (2*f**2 - 3*f**2 - f**2)*(-2*f**2 + 2*f**3 + 2*f**2) - 123*f**5 + 34*f**5 - 37*f**5 - f - 2*f**4.\nAnswer: -129*f**5 - 2*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xjltp. Give prob of picking 1 j and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000007901702 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 1 - (-3 + (-1 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.45 - 1. Let b = 2.7681148 - 3.218119. Let h = r + b. What is h rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/3 + 121640*l**3\/3 - 22720546*l**2\/3 + 357681968*l - 350148999 = 0?\nAnswer: 1, 93, 121453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 93 or -6887?\nAnswer: -6887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30123\/4305455 - -1\/7385. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378 is divided by 124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*g + 15 = 5*k, 2*g - 2*k - 1 + 6 = 1 - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00006576321 rounded to 7 decimal places?\nAnswer: 0.0000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3d01 - 277e?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from srs. What is prob of sequence rr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*l - 4*l - 3045 = 76*l + 96*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16, 564387.7, 5?\nAnswer: 564387.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 22*t - 1. Let x be j(1). Let i = -11 - -25. Suppose 3*s = s + i. Calculate the highest common divisor of s and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34366, 34423, 34482, 34543?\nAnswer: 34606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fjcjsojcmscmmcjmsfs. Give prob of picking 2 j and 1 s.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12682.0679 - 12681. What is k rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(2\/11)*w*w))\/(w**7*w))**(-1\/4) assuming w is positive.\nAnswer: w**(101\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (44*-1)\/(3\/(-3)). Suppose -5*s + 141 = -w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -13*i - 3*i - 6 - 2 + 3. List the prime factors of h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 0*u + 52 = 4*u, -6*p - 3530 = u - 3485 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 855, 1832, 2811, 3792, 4775, 5760, 6747?\n\"Answer: w**2 + 974*w - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -52*t - 52. Let x(k) = -5*k**2 + 36*k - 6. Let c be x(7). Let j(b) = b + 2. Let v(p) = c*l(p) + 26*j(p). Let h(u) = 2*u. What is h(v(g))?\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*i, 0*x + 1119 = 3*x - 3*i. Let r = x + -375. Let s(y) = 8*y + 1. Let m(u) = u. What is r*s(o) - 6*m(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zekz when four letters picked without replacement from zzzklezxzee.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 11. Suppose d + 4*i - 3 + 4 = 0, o*d - 3*i = 41. Calculate the remainder when 18 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8069832 and 7344.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 97 - 403.8.\nAnswer: -306.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16042151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9522 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 4*c, -2*c + 7 = -3*o - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*d - 289 = 0, a - 5*a + 277 = d. Let i(g) = -3*g - 3 + 3 + 3 - 2. Let y be i(-9). What is the greatest common divisor of y and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 775 and 18197.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = 263774 + 35316. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*j - 0*x - 612, 5*j - 772 = x. Let u(g) = -g**2 - 6. Let t be u(5). Let r = -17 - t. Calculate the greatest common factor of j and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 640*v - 6. Determine p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 987300 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-1)*-66*(-16)\/(-96)*(-14)\/6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, e: 5, n: 2}. Give prob of picking 2 e and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -11146 and -11681 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/465 - 188\/465. Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 429 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 2*r + r)*(-28*r - 14*r - 3*r).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3523660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w**2 + 0*w**2 - 2292*w + 2293*w)*(1 + 2 - 4).\nAnswer: 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*k + 3*k. Let u be (-5 - -2)\/((-3)\/k). Let n = -2057 + 2057. Solve n = -c - c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*z**4 + 972*z**3 + 303*z - 3566351.\nAnswer: 8*z**3 + 2916*z**2 + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -8\/9, 3\/5, -0.04, -10, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -476853 rounded to the nearest 1000?\nAnswer: -477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uululu. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20 + -26)*((-8)\/64)\/((-1)\/12). Does -28 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2781 is divided by 772.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -167 + 173. Let m(l) = -15*l + 95. Give m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 668 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - a**2 - 3*a + 5. Give f(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 11*c + 5. Let t be y(11). Let v be (-4 - t - -1)*-1. Let j = -21 + 23. Solve 2*f - d = -0*f + v, f - 4 = -j*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 148569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4*n = 4 - 12, -g + 13 = 2*n. Let c = 29 + -24. Solve i + c*b = -25, -i - g*b = -3*i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.058 + 0.058. Which is the fourth smallest value?  (a) 0  (b) 4  (c) -2  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + w = 1197, -178 - 50 = m - 4*w. Does 17 divide m\/40*(-323)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-826)\/532)\/(-59)*-2\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -70905995894+1706\nAnswer: -70905994188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(2 + 1 - 1)*(-2*y + 3*y + 11*y).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -27.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-48)\/(-36))\/((-3)\/10). Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 460 and 58420.\nAnswer: 58420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 1:33 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 29*t**3 - 1. What is o(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 11:27 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53931*r**3 + 53737*r**3 - 107667*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**4\/3 - 5*y**3\/6 + 49*y**2. Let s be z(1). Solve 15 = -s*v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 0 - 8*m**3 + 244 - 253.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 57 and 1589711?\nAnswer: 4769133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10332 or -10334?\nAnswer: -10332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2. Let y(t) = 2754*t - 18052*t**2 - 5539*t + 2785*t. Calculate r(y(m)).\nAnswer: 325874704*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 499 a factor of 6353611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9091972*d*u**4 - 2*d*u**2 - 11*d*u - 30*d - u**6 + 45*u**2 + 2*u + 4 wrt u?\nAnswer: -218207328*d*u - 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -7503.\nAnswer: -1\/7503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/75384 and 53\/648?\nAnswer: 226152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16427 is divided by 411.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6054.142 millennia?\nAnswer: 72649704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1119*g + 1152*g + 1122 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 6*z**3 - z. Let n be j(1). Suppose -i + 2*q = 4*i - 217, -2*i + 4*q + 74 = 0. What is the greatest common factor of i and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + 314*y**2 - 4941*y - 2152. Calculate v(-329).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137357 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -1. Let s = h + 2.1. Suppose 0 - 7 = -n + 4*y, 0 = -2*n - 5*y + 1. Which is the second biggest value?  (a) n  (b) s  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2944*d**4 - d**2 - 204.\nAnswer: -70656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 24 + 4*o - 2*o**2 + o**3 - 2*o**3 - 22. Let b = -8 + 4. Is m(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 610515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22586, 90365, 203330, 361481, 564818?\nAnswer: 813341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2 = 4*w, -5*u = -2*w + 21 - 2. Let t(m) = -11*m + 31. Let v be t(3). Put v, 1, 18, w in increasing order.\nAnswer: v, 1, w, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 3 - 12. Let a be ((-5 - -6) + 1)\/((-1)\/(-13)). Suppose 5*i = k - a, 0 = -k - d*i + 16. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 176. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, -2, -4, 3.\nAnswer: -4, -2, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(405)*2)\/sqrt(9) + 1)*-2)**2.\nAnswer: -240*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, f: 6, i: 3, n: 1, m: 2, v: 1}. Give prob of sequence ibn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*q**3 + 0 + 2 - 5 + 4 wrt q?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 365190?\nAnswer: 2, 3, 5, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3351.4 - -3726. Let x = -375 + q. Let i = -12.6 - -14. Which is the smallest value?  (a) 4  (b) i  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2980, 742, -2990, -8216?\nAnswer: -14936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 19 = -5*r + k, -3*r + 11 = -k. Let n be 153 + 27\/(-18)*(2 - 0). Suppose r*i + n = 9*i. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, l: 4, t: 6}. Give prob of sequence lltl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3812\/(-28590) - 3010\/(-75)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + sqrt(98) + 2 - (sqrt(98) + sqrt(98) + 0)**2*6)*5.\nAnswer: -11735 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1374*q = -1401*q - 125 + 476 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*s - 38*s + 1430 = 0. Let t = 210 - s. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 936*o - 1004*o + 7888. Solve o - 16 = 20*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/sqrt(96) + -1 + -3.\nAnswer: -4 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1669*j + 6 - 13170*j + 10 - 21.\nAnswer: -11501*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10229584713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 53504, 105650, 157794, 209936, 262076, 314214, 366350?\n\"Answer: -g**2 + 52149*g + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13005 - -13389. Which is smaller: 2303\/6 or z?\nAnswer: 2303\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -l**5\/30 - 2*l**2 - 3. Let x(g) be the second derivative of b(g). Let y(u) = 3*u. Give y(x(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*q - 34*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 14) to base 2.\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -17*r. Let i(m) = -3*m**2. Calculate y(i(l)).\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 282243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3)*a)**(5\/13))**8*((a\/(a\/a**8)*a)\/a**(-4))**48 assuming a is positive.\nAnswer: a**(8032\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/5)\/(-4) - (-2124)\/(-90). Let b(t) = -2*t + 29. Calculate the remainder when b(d) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 4:21 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5))**(-4\/17)*((v\/v**12)\/v)\/v*v**(10\/3)*v assuming v is positive.\nAnswer: v**(-382\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -802  (b) -867\/2  (c) 1\/5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-5 - (3 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of -w**5\/120 + w**3\/6 - w. Let f(n) be the second derivative of u(n). Let o(z) = z**2. Determine f(o(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*d - 646 = -1828, 0 = -4*d - 12. What is the greatest common divisor of b and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 969819528 to the power of 1\/3, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l + 10*l + 57*l.\nAnswer: 81*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 1) + 600\/4. Let l(u) = -89*u**2 + 2. Let w be l(-1). Let i = v + w. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 + 91999116*h - 183998224.\nAnswer: -2*(h - 45999556)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2346 divided by -391?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -12*y**2 + 5*y - 5. Let n(j) = -j**2 + j. Let i(v) = 4*n(v) - p(v). Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 7:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -14*r + 172. Let n be t(19). Let z = -1117\/270 + 55\/27. Calculate the common denominator of z and ((n\/(-3))\/(8\/6))\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1 = -d - 0, -5*d = 5*k - 15. Let r(y) = 3*y**3 - 4*y**2 - 4*y - 7. Let i be r(d). Determine q so that -245*q**2 - 36 + i*q**2 + 54*q + 279 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmc when three letters picked without replacement from bhuhccccbuhhhhmmcucb.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -17. Suppose -3*f = -0*i - i - 55, -4*f - 4*i + 52 = p. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -3\/1325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -601, -1020, -1439, -1858, -2277?\n\"Answer: -419*s - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 424 and 4.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 3*h - 15. Suppose 0 = 8*x - 50*x - 17*x + 118. Sort x, -14, h in increasing order.\nAnswer: -14, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1282, 1.\nAnswer: -1282, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*u**4 + 3*u**3 - 22*u**2 + 725038?\nAnswer: -40*u**3 + 9*u**2 - 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q - 33*q + 33 + 50 + 63*q.\nAnswer: 26*q + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5, -11, -39, -85, -155, -255, -391, -569?\n\"Answer: -d**3 - 9*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4066 = 200*q - 334 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30598689 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**3 - 19*s**2 - 262*s - 474. Give y(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**3 + u**2 + 2*u - 2. Let n(k) = -2*k**3 - k + 1. Determine -g(p) - 2*n(p).\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3125 - -8313. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 8*r**2. Let d(t) = -333*t**2 - 5*t. Determine d(u(c)).\nAnswer: -21312*c**4 - 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -166*r + 8 + 5*r**2 + 80*r**4 + r**2 + 202*r - 32*r**4 - 73*r**3 - 9*r**5.\nAnswer: -(r - 2)**3*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 - 4 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*h + 240*h - 14790 = 416*h for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 35*i. Let x(v) = -13*v + 12*v + 6*v. Let d(s) = 3*k(s) - 20*x(s). Let n(h) = h. Determine d(n(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 42*d - 129 = 0, 0 = -5*j - 1495*d + 1499*d - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z + 1. Let r be 20*(5 - (-2)\/(-2)). Suppose 3*a - 48 = -h - 2*h, 0 = -5*h - 4*a + r. Suppose s = -7*s - h. Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2680 is divided by 225?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231*x + 46116 = 98*x - 233*x for x.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = -14*x + 6. Let a(p) = 9*p**2 + 9*p**x - 22*p**2. Let d(n) = -3*n**2. Calculate a(d(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - m + 327. Let g be 2 + m\/4*1. Let h = 29 - g. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 647*r - 129609 = -113434 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 127, 247, 369, 493, 619, 747?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 - -4. Suppose 71 + k = 2*n + 3*i, -240 = -5*n - 5*i. Suppose -7*u = -3*v - 3*u + n, -25 = -3*v - 2*u. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of s*y**4 - 2*s*y**2 - 9*s*y + 13*s - 275*y**4 wrt y?\nAnswer: 12*s*y**2 - 4*s - 3300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -482*l**2. Let p(x) = -4*x**2. Determine c(p(t)).\nAnswer: -7712*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = s - 8, 10 = -5*i - 5. Suppose 6*f = s*f + 50. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 4*o + 1 + o)*(-16*o**2 + 4*o**2 - 10*o**2).\nAnswer: -66*o**3 - 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*(-1)\/(-2)*285\/(-342). Sort 3, g, 0, 178, -3 in descending order.\nAnswer: 178, 3, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 - 418. Suppose -105*j + 108*j - 12 = 0, p + 2*j = 15. What is the remainder when t\/(-18) - (-2)\/(-9) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.437823cm to nanometers.\nAnswer: 44378230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28956103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4487 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272*z - 273*z + 4 = 0. Factor -4\/3*n - 2\/3*n**z + 0*n**3 + 0 + 2*n**2.\nAnswer: -2*n*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 9:05 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*m = 8. Let a be (-1)\/m - (-42)\/8. Suppose -2*d - a*g = -1 - 37, g + 95 = 5*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*i = -1 - 0, 4*f + i + 4 = 0. Let p(m) be the first derivative of -18*m**2 + 5*m - 30. What is the tens digit of p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2577965, -2577961, -2577957, -2577953?\nAnswer: -2577949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 432 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3384 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 659 is divided by 323?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 2, v: 2, p: 1, r: 1, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 30565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361 is divided by 93.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -85570330 divided by -10\nAnswer: 8557033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.5 + 4.5. What is the smallest value in -2\/21, 22, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (2 - 10\/(-2)). Suppose 3*p + b = 2*c, -5*p - 2*c + c + 3 = 0. Suppose p*a - 27 = 3*a. Is -9 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24968 by -43.\nAnswer: 24968\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 38384082 + -7?\nAnswer: 38384074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.409 + 20.591. Let d = 3 + -2. Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5 - 5*i + 11*i**2 - 21 + 11. Is c(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27*14\/105)\/((-84)\/60*1)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/299*26\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (202\/99 - 2) + 12\/66?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 420, 412, 394, 360, 304, 220, 102?\n\"Answer: -d**3 + d**2 - 4*d + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 d, 1 w, and 1 v when four letters picked without replacement from fvwwwddvdwwdv?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-18)*(-12)\/(-8)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-88)\/(-132) + (-38)\/12)*2. Sort 421, 5, z in descending order.\nAnswer: 421, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-31 + 83 + -58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 3, -23, -3, -4, -19 in descending order.\nAnswer: 3, 1, 0, -3, -4, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26027932.24719 - -26028087. Let r = 0.03281 - q. Let p = r - -152. What is p rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 119174101.2ms?\nAnswer: 0.197047125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 10 = 4*f. Let d be (4\/10)\/(2*f\/(-20)). Which is the nearest to 1?  (a) -0.09  (b) -3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1581 + 1570. Let q(h) = -5*h**2 - 2*h - 2. Let d(w) = 14*w**2 + 6*w + 6. Suppose 4 = 2*y - 3*v, 3*y + 3*v = -0*y - 24. Determine j*q(r) + y*d(r).\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 + 2*s - 4. Let d(z) = -z**2 - 11*z + 9. Let f be d(-12). Let b be (-1 + f + 1)*(-4)\/(-4). Calculate the lowest common multiple of 14 and w(b).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14852 to the nearest 100.\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-38)\/(-14) - 6\/(-21). Find the third derivative of 32 - 32 - 3*z**2 - j*z**3 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.98 - -13.66. Let o = v - 2.68. Which is the nearest to o?  (a) -0.2  (b) 2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 63627.8 and -0.129?\nAnswer: -8207.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k - 6. Let p be y(15). Suppose -20*l - 568 = -p*l. Suppose -51 = c - l. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/459 and 42.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -41*k**6\/60 + 13*k**4\/8 - k**2 - k. What is the second derivative of a(q) wrt q?\nAnswer: -492*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 92 + -82. Let l(x) = 15*x - 5*x - 2*x + 2*x - 8*x - 19. Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 319721200?\nAnswer: 2, 5, 799303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10263.35 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -20, 5, 0.114, 2\/5, -0.3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*w - f, 5*w - 2*f = 0. Let k(n) = n**2 + 3*n - 4. Let t be k(-5). Let m(d) = t - 3*d + 0*d + 2*d. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 98632, 396032, 891698, 1585630?\n\"Answer: 99133*x**2 + x - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -23. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + sqrt(19) + sqrt(76) - (-3 + (sqrt(19) - (sqrt(19) + -1 - sqrt(19))))).\nAnswer: 2*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -30001 (base 6) to base 16\nAnswer: -f31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*(2\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20810791\/1638 - 12705. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -84 - -3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -94  (b) 1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(3\/(9*-2)*-15). Suppose x + u*x = -c + 1970707, x - 9853563 = -5*c. Let z = -2099287 - c. Round z to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by (-2196)\/(-54) + (-1)\/(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57553 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dcokzdhzdooo. What is prob of sequence zkz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403391 is divided by 1842?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 2*p**2 + 5*p**2)*(-7 + 4 - 3)*(1 + 1 + 1)*(-1 + 0 + 0).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*(-2)\/8)\/(3\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43.692 + 44. Round y to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5135777 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4204183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 35*n - 34*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -72071330 divided by 4?\nAnswer: -36035665\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -123.47887, -0.02, 4\/5.\nAnswer: -123.47887, -0.02, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**4 - 4*d**2 + 4*d**2 + (4*d**3 - 3*d**3 - 3*d**3)*(9*d + 6*d - 14*d))*(3 - 5 + 1) + (-9*d**2 - 13*d**2 + 6*d**2)*(3*d - 7*d - 4*d)*(3 - 3 + 2*d).\nAnswer: 255*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 227767303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 567 and 562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 6:55 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/7, 3, 0.302, 1434.8?\nAnswer: 0.302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 5, 1 in decreasing order.\nAnswer: 5, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 0 - 37 + 2 - 2*t + 3 + 3 + 37. Suppose -22 = -2*q - 3*w, -q + 4*q - 3 = 3*w. What is k(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-2))\/(4\/8 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4213424, 4213422, 4213420, 4213418, 4213416, 4213414?\nAnswer: 4213412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 4) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 27 = -9. Solve -3*f = -5*l + q, 2*f = 5*l - 2*f - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**2*t**3 - 1003*o**2*t**2 + 5*o**2 - 17*o*t**3 - o*t + 5*o + 643*t**3 wrt o.\nAnswer: 4*t**3 - 2006*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 73 - (12 - 11) - (1 + 16)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 - -36. Suppose 0 = -5*m + 124 - k. Calculate the lowest common multiple of 10*(6 - (-19)\/(-5)) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 523582733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, -33904, 4, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 4*b = -1888, 601 + 1279 = 4*x + 2*b. Suppose -40*f + x = -f. Calculate the highest common factor of f and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*z - 3 - 6 + 0 as m + t*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*n - r, -6*n + 4*r - 25 = -n. Let s = 7 - 12. Is n < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q + 93*q**2 + 24*q**2 + 7*q - 141*q**2 + 2*q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 469 a factor of 693447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -635*s**7\/7 - 2*s**5\/5 - s**3\/3 - 299*s - 1171. What is the third derivative of t(g) wrt g?\nAnswer: -76200*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of m**6\/120 + m**5\/30 - m**4\/8 + m**3\/2 - 3*m**2. Let f be y(-3). Suppose 0*g + g - f = 0. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 12 + 4 = 0. Solve c*t = -d + 6*d - 1, -2*t - 11 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -3. Let y = 731.2954 + -731. Let x = y - -0.0046. Which is the nearest to h?  (a) -0.5  (b) 0.1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12 * -7\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 380495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18, -79, -200, -399, -694, -1103?\n\"Answer: -3*y**3 - 12*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + 3*v - 1, 0 = 3*h + 5*v - 3 - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 7, a: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(272) + 1 - sqrt(272)) + sqrt(272))*-1*5 + sqrt(612) + (-2*1*sqrt(612) - sqrt(612)) + -3)**2.\nAnswer: 1024*sqrt(17) + 34944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l - 2699 = -935. What is the remainder when l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of f**5\/5 - f**4\/2 + 7*f**3\/6 - 3*f**2\/2 + 12*f. Let k(q) = q**3 - 2*q**2 + 2*q - 1. What is -2*i(o) + 7*k(o)?\nAnswer: -o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**4 + 4*i**2 - 2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 2\/3  (c) -951  (d) -2\/5  (e) -766\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c - 2*c**3 + 29*c + 22*c + 12*c**4 wrt c?\nAnswer: 144*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*(sqrt(15) - -4*sqrt(1215))\/(4*1*sqrt(3)).\nAnswer: 333*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-60)\/(-1) - 0\/1. Let y be (-19)\/1482*-52 - 5\/(30\/(-92)). What is the highest common divisor of c and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -345, 3, 1143 in increasing order.\nAnswer: -345, 3, 1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*j - 0. Let d(m) = m**3 + 5*m**2 + 4*m - 2. Let z be d(-4). Which is bigger: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/26144112 and 95\/264?\nAnswer: 287585232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j. Let w be o(0). Let q = -273 - -268. Put w, q, 5 in decreasing order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66283531.\nAnswer: 29, 2285639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = -152. Calculate the remainder when q is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -u - 14, 0 = 5*r - 3*u + 4*u - 22. Suppose 0 = -r*i + 4*w + 399 - 1483, 0 = -2*i - 5*w - 570. Let g = -118 - i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 17. Calculate the greatest common factor of 16 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21318878*v**6 + 22398387*v**2.\nAnswer: -2558265360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1424000 - 874649.\nAnswer: -2298649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 32*z - 145. Let f be c(-6). Solve 4*i - f = -5*x - 0, 0 = -5*x + 4*i - 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - daa69?\nAnswer: -daa6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -96 + 10. Let d = -83 - w. Let m(h) = 11*h - 3. Let i be m(d). What is the greatest common divisor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1206 times 3599.6?\nAnswer: -4341117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -3*a - 51, -3*k + a - 51 = -7*k. Let n(p) = p**2 - 13*p + 18. Let s be n(k). Does 13 divide 4\/s + (-726)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1616\/(-12) + 10\/6. Let b = -99 - h. Round b to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2. Let n(f) = 1487*f**2. What is a(n(p))?\nAnswer: 4422338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 2*p - 3. Let f be x(2). Solve 0 = 2*y + 3*t - 5, -4*y + t = -f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*x**3*z**2 - 3*x**3*z - x**2*z + 17*x*z**2 - x*z + 85*z**2 + 2801*z wrt z?\nAnswer: 44*x**3 + 34*x + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*d - 3 = 0. Suppose -278 = -3*c - 5*h, d*h - 185 = -0*c - 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((4*1*sqrt(405) + sqrt(405))**2 + sqrt(405) + -2*sqrt(405)*-4 - (-1 + ((sqrt(500) - 2*sqrt(500)) + -4)**2)).\nAnswer: sqrt(5) + 9609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.769 - -7.769014988. What is u rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*h - 3 = 0, -154*o + h = -157*o - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -377, -754, -1131, -1508, -1885?\n\"Answer: -377*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 369225*u - 2215242.\nAnswer: -3*(u - 123069)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 645162899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8849 or 8?\nAnswer: -8849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/16*(-11 - -5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2605.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9 - (-90)\/9) + 1. Solve w - 2*w = y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 6*x + 1 + 5*x**2 - x**2 - 3*x**2. Let f be u(-6). Differentiate f + 6 - 2*z + 11*z with respect to z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 a factor of 4487150432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 0.9999554. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -42*q**2. Let o(l) = -4*l - 34. Determine o(s(i)).\nAnswer: 168*i**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1012429545, -2024859090, -3037288635, -4049718180, -5062147725, -6074577270?\n\"Answer: -1012429545*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n - 41. Let w be f(-12). Let l(t) = -2*t + 13. Let y be l(w). Let m = -16 - -14. Which is the nearest to 0.1?  (a) m  (b) y  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11829, 11637, 11119, 10113, 8457, 5989, 2547, -2031?\nAnswer: -7907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1725 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**3 + p**2 - p. Let j be i(1). Let g be 2\/(-12) - 76\/(-24). What is the nearest to -1 in j, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/30 + 2 + 1022\/210. Solve 0 = -4*q + 5*g - 41, -t*g + 3*g + 28 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 1208 = -1720*u + 1715*u, -3*u + z = -722. What is the greatest common divisor of 17280 and u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q - 43 = -20. Let d(x) = -8*x**3 + 2*x + 2. Let b(v) = v**3 + v + 1. Determine q*d(c) + 2*b(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6b + -358?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pphhhpthpghtpphppp. Give prob of picking 1 p and 1 g.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -4. Let a = l - -8. Let b be 4\/a*9\/(-6). Which is bigger: b or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 3*p**2 - p. Let i be r(-3). Suppose i*h - 8 = -v, 0*h + 16 = 5*h - v. Solve -9 = -l + 3*x + h, -4*l - 2 = -2*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 15*m + 1. Let y(g) = -g**3 + 6*g**2 + 10*g - 15. What is the remainder when n(1) is divided by y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 4*m, 3*m + 0*m = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -260 - -260.02. Let i = -0.084 + -0.016. What is the closest to 2\/5 in i, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -40?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 16*u**2 + 15*u - 11. Let f be s(-15). Let z(y) = -2*y - 6. Calculate the lowest common multiple of 10 and z(f).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -0.19.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**4 - 12*c**3 - 99*c**2 + 432*c - 324 = 0. What is c?\nAnswer: -6, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.825506 decades in years?\nAnswer: 28.25506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b - -11?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1306962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18409.38 - -21487.328. Let y = -3072 + r. Let s = y - 6. What is s rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1109*h - 354?\nAnswer: 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 4, -151, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -2. Suppose 5*t - 3*v + 5 = 0, v - 39 = -2*t - 30. Suppose h = -0*h - 3*m + 20, -m = -2*h + 5. Sort h, -3, n, t.\nAnswer: -3, n, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -471.94911527 + 3.94933427. Let y = d - -468. Round y to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + p. Let l(c) = -44*c**2 + 9*c. Let t(q) = -3*h(q) + l(q). Find the second derivative of t(j) wrt j.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142512 is divided by 321.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/104 and -111\/9640.\nAnswer: 125320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -496 = -n + 280. Suppose f = 3*f - n. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (14\/(-6))\/((-25 + 26)\/(1572\/(-4)))?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174965353721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 5. Let v = 13 - g. Suppose -4*j = 2*s + 2, -v*s - 2*j + 5 = -6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + -3 + -3 - sqrt(19)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27a40 (base 11) to base 4.\nAnswer: -21232231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 7*g + 15. Let c(f) = -5*f. Let y be c(-1). Suppose -2*p - 3 - 3 = -y*r, p - 2*r = -1. List the prime factors of w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2023 greater than or equal to 2006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 611 = 170*k - 379. Solve 19*h = 18*h - k for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -345 - -1126. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-28)\/21)\/((-2)\/3). What is the third derivative of -29*s**3 + 7*s**2 - 2*s**j - 3*s**2 + 33*s**3 wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 111 + -109. Suppose 4*p + 3*i - 1188 = 0, -p + d*i = -2*p + 297. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4213.17 times -0.2?\nAnswer: -842.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 32. Suppose 173 = k*c + 69. Let p = c - 103\/2. What is the smallest value in -0.07, -2\/9, 0.3, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1514*h + 1676*h - 25*h)*(h - 2 + 3 - 4*h).\nAnswer: -9495*h**2 + 3165*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -155 + 155.3. Which is the third smallest value?  (a) -0.02  (b) h  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432.9843 months to decades.\nAnswer: 3.6082025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 41926036.18 to the nearest one hundred thousand.\nAnswer: 41900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 1460 = 3*m - 24392, -15282 = -2*m - 4*j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, c: 5, y: 5}. What is prob of picking 3 y and 1 c?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/7 + 620\/(-35). Let z be 6\/s + 118\/3. What is the greatest common divisor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l + 43 + 79 + 77 + 2*l**2 + 77 - 276.\nAnswer: 2*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 5 = -g, 4*c + 69 = -41*g + 46*g. What is the third derivative of 7*k**3 + g*k**3 + 1 + 87*k**3 - 106*k**2 - 1 wrt k?\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11*-0.015127\nAnswer: -0.166397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 735131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -79*q**2 + 4396*q + 15630. Calculate k(59).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 1521 = -5*y + 1526, 2*y - 3*m = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 24 = -2*z + 3*h, -5*h + 30 = 5*z. Factor 6*q**5 + 25*q**4 - 30*q**3 + 40*q - 9*q**5 - 12*q**z - 8*q**2 - 2*q**5.\nAnswer: -5*q*(q - 2)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17146 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**3\/5 + 13*f**2\/5 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -19 + (49 - 55).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -4, -0.4, 0.4, 5, -304, -21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7226 plus 42?\nAnswer: -7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 579487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-100)\/375*25)\/(2\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u = -2*u + 5*u + 168 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 7 + (5 + -3 - 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7518 + 105237\/14. What is the second smallest value in 4, p, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -2*d - 10, -d - 4*v - 923 + 909 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 4845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**3 - z. Suppose 4*x = -5*w + 6, -4 = -2*x - 4*w + w. Let y be u(x). Suppose -3*m = -y*s - 5*m + 70, -92 = -5*s - m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4562627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Suppose l = -5*n + 4*o + 36, -3*n - o + 16 = 2*n. Suppose 3*i - i + 12 = n*v, 9 = v + i. Put 1, -2, v in increasing order.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*c*l**5 - 19*c*l**2 + 174*c*l wrt l.\nAnswer: -300*c*l**3 - 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -3*d + 293 + 286, -5*d + 4*z + 991 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 3, 1, -1.\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -1.3. Let w = 23\/12 - 2\/3. Let d be (2\/(-12) - 0)*-2. What is the nearest to d in 4\/7, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 0 + 0*q - 1\/24*q**4 + 0*q**3 - q**2. Let y be d(-2). Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-8))\/(w\/(w**(-1\/3)*w)))\/(w*((w\/(w**(-3\/7)*w))\/w)\/w*w*w**(-7\/4)*w) assuming w is positive.\nAnswer: w**(-589\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6930425 to the power of 1\/2, to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -6*p**4 - 6*p**2 - 4*p - 6. Let s(v) = -5*v**4 - 7*v**2 - 3*v - 7. Let r(o) = -7*c(o) + 6*s(o). Find the second derivative of r(k) wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 - 1084*q - 3288.\nAnswer: 4*(q - 274)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*m**2 + 4*m**2 - 5 - m**2 - 2*m**4 + 3 to the form h + l*m**3 + k*m + d*m**4 + y*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -9*n**2 - 12*n**2 + 9 + 18*n**2. Let u(c) = c**2. Give i(u(s)).\nAnswer: -3*s**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -294832390.79200677 - -294832392. Let g = -1.208 + v. Round g to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 15. Suppose v + j*v - 55 = 0. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -171952580, -171952583, -171952586?\nAnswer: -171952589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**4 - 328*s + 1 - 2 + 323*s + s**2 + 2*s**3 in the form m*s**3 + j*s + p + k*s**2 + q*s**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b (base 13) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 8:41 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - z = 3*x - 20, -3*x + 2*z = -32. Let v be (-1)\/(-4) + (-98)\/8 - 0. Let l = v + x. Is l greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*u + 42 - 42)*(1 - 1 + 2*u) + (-1 - 1 + 3)*(2*u**2 - 4*u + 4*u) + 2*u - 2*u + 2*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -11. Let s(i) = -2*i. Let o be s(-1). Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4\/5 - 3*n**3\/5 - 12*n**2\/5 + 12*n\/5.\nAnswer: 3*n*(n - 2)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3403, -13815, -31241, -55687, -87159?\n\"Answer: -k**3 - 3501*k**2 + 98*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is aa + -11940?\nAnswer: -11863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9393.\nAnswer: 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is eab + -5?\nAnswer: ea6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 715039979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 90255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*q - 84*q = -26. Suppose -20 = 2*z - 5*h, -q*z + 7*h = 6*h + 4. Solve 14*x - 12*x + 2 = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -3)*-5 + sqrt(539) + 3 + sqrt(539).\nAnswer: 18 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 1315*g - 169 + 1325*g to j*g + n and give n.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/((-1)\/4) + 3. Let t be (-2)\/p - 30\/(-7). Suppose -t*r - 5*w + 70 = r, 3*r - 42 = 2*w. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 7 = -4*l, 23*l - 51*l + 59 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/((-35)\/(-12)) + -2. Let x = 0.23 - 0.2. Let r = 0.07 + x. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -3*k**4 - 411*k**3 - 15786*k**2 - 115968*k - 172032 = 0.\nAnswer: -64, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 AM and 10:39 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 142463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3485*l + 3484*l + 35364. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-22165)*533 - 106\/(-1643)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3417, -13875, -31327, -55779, -87237, -125707, -171195, -223707?\n\"Answer: -v**3 - 3491*v**2 + 22*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-453)\/(-604)*(114\/(-9) + -2) + (-1 - -93)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c - 6. Let f(u) = 2*u - 13. Suppose -2*i = 13 - 1. Let j(h) = i*f(h) + 13*p(h). Let r(g) = 0 + 2*g**2 + 0. What is r(j(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -123, -121, -119, -117, -115?\n\"Answer: 2*p - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**19)\/((m*m**(2\/31)\/m)\/m)*m**(-10)*m**(1\/29) assuming m is positive.\nAnswer: m**(9862\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8769702 - -157794281\/18. Let m = -3354 - s. Calculate the common denominator of m and -3 - (-676)\/72 - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of 2*v**3\/3 + 2. Let l(j) = -190*j - 194*j + 382*j. Calculate h(l(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 383 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: Solve -2*o = -3*w + 2, 91*w + 45 = 96*w + 5*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 3*x + 24, -g - 3*g = -4*x. Let b = 34 + x. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**5\/20 + 3*s**4\/2 - 5*s. Find the third derivative of t(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 467557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -292*l**4 + 70767*l**2 - 13935296*l?\nAnswer: -3504*l**2 + 141534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 0.2, 6.5, 0.3?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 12. Suppose s*k - 5*k + 4 = 0. Solve -y - 7 = k*t, -4*y + 6*y + 11 = -5*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37.8 + -38. Let n be (3 - 1)*5\/(-2). Let z be ((-1)\/(-15))\/(n\/(-30)). Sort 2\/7, s, z in decreasing order.\nAnswer: z, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/x**9*x)**(-12)\/(x**(3\/2)\/(((x*x**(-7\/5))\/x)\/x)))**(2\/29) assuming x is positive.\nAnswer: x**(561\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -53160 + 1391.9?\nAnswer: -51768.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48260963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 4 + s + (4*s + 5*s + 0*s)*(17 - 3 - 3) - 3*s - 3*s + 4*s in the form m + i*s and give i.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -11*v**2 + 12*v + 2669. What is i(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 90.4914ug?\nAnswer: 90491.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19251 + 19246. Put 1\/203, -1\/2, m in decreasing order.\nAnswer: 1\/203, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.06 + 10.06. Let v = r + -9. Let s = 5.42 - 3.42. Which is the nearest to -1?  (a) s  (b) v  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 - 78. Let q = f + 65. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -897, 0, -4, 123.\nAnswer: -897, -4, 0, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 20. Let g = 1.1 + 3.9. Let d = p + g. Sort d, 3\/2, 2 in ascending order.\nAnswer: d, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 456c1 (base 13) to base 6.\nAnswer: 2413104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 0*g - 8*g)*(-34*g - 14*g - 61*g)*(11*g**3 + 2*g**2 - 2*g**2).\nAnswer: 7194*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of 0*c**2 + 0*c**5 + 0*c**4 - c**3 + 1\/72*c**6 - 8 + 0*c. Let d(b) be the third derivative of p(b). Factor d(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-9) + (-679)\/(-63). What is the derivative of 42*w**2 + u*w**2 + 4*w - 79 - 47*w**2 wrt w?\nAnswer: 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66072 divided by 6\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 31349224, 31349225, 31349226?\n\"Answer: l + 31349223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 40 = -3*h + 3*v, v = -5. Solve -h = -n - 0*n - 2*x, 2*n + 5*x = 26 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21\/179 or -1?\nAnswer: -21\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 789999?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2486 is divided by 1657?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*m + 316*m + 308*m + (-2 - 1 + 4)*(-m + 4*m - m) in the form o*m + u and give o.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 7076518 divided by -8651\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271795 is divided by 359.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vkdhdhhhkkd. What is prob of picking 2 h, 1 v, and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1698, 3408, 5116, 6822?\nAnswer: 8526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 281 + -257. Suppose 2*p = r + 16. Calculate the remainder when 58 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 326 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 4*r**2 + 6*r - 7. Let z be m(-5). Let q = -8 - z. Solve 3*w - q - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -18*i + 37*i + 1 - 23*i + 2*i**2. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/4))**24\/(d\/(d*((d*d*(d*d*d**(-1)*d)\/d)\/d*d)\/d)*d)**(2\/49)*(d\/d**(2\/5))\/d*d**(-2\/5)*(d*d**1)**(-2) assuming d is positive.\nAnswer: d**(6184\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -107.96 less than 4?\nAnswer: 111.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + 9*s**2 + 3*s - 5. Suppose 27 = 2*d + d. Calculate the smallest common multiple of 4 and f(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2984, 7.\nAnswer: -2984, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 328*u + 103*u + 101*u - 523*u - 1.\nAnswer: 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.101 - -0.039. Let i be (-4)\/(-18) - 0 - 1037\/2196. Which is the closest to i?  (a) -0.4  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 344151?\nAnswer: 3, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9816 + -0.0184. Which is the third smallest value?  (a) -0.1  (b) n  (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 82?  (a) 2\/13  (b) 4  (c) -0.3  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -10110010011011100101100010?\nAnswer: -10110010011011100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15205 - 15201. Let i be (1 - (1 + -1))\/1. Let a(k) = -5*k**3 + 4*k**2 - 2*k - 2. Let q(l) = l**3 - l**2 + l. Determine i*a(z) + t*q(z).\nAnswer: -z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2*l)*(-1 + 1 + l) - 3*l**2 + 2*l**2 - 3*l**2 - 3*l to the form r + x*l + s*l**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**5 + 5*f**5 - f**5 + (-2*f**5 - 3*f**4 + 3*f**4)*(0 - 3 + 4) + 555*f + 5*f**5 + 6*f**5 - 551*f.\nAnswer: 10*f**5 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4691577745 less than 0.8161?\nAnswer: -4691577744.1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g + 0*g - 4*g. Let p(h) be the second derivative of 0*h**2 - 1\/6*h**3 + 0 - h. Give p(s(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12964993.4 + -539.\nAnswer: -12965532.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 - -67?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 24 = 5*w + 194, 0 = -5*m + 3*w + 172. Suppose -m = -4*g - g + 3*c, 3*c = -15. Factor -1\/5*z**5 - 3\/5*z**g - 1\/5*z**2 - 3\/5*z**3 + 0 + 0*z.\nAnswer: -z**2*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 6 - 4. Let o be (-16)\/10*5\/u. Suppose -q + o*q = 159. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*h**3 - h**3 + 5*h**3 + (-1 + 2*h + 1)*(2*h - 2*h - 3*h**2) + 7*h**3 + 0*h**3 - 4*h**3 - 14*h**3 - 2*h**3 - 9*h**3 + h + h**3 - h.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68661987 by -257161.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*w**3\/7 - 4400*w**2\/7 + 1218752*w\/7 - 4804864\/7 = 0. Calculate w.\nAnswer: 4, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u*u**(2\/11)*u)*u)*u**14)**46 assuming u is positive.\nAnswer: u**(7682\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/10 - (-11744)\/(-20). Which is smaller: z or -587?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-343)\/(-70) - (-15)\/150.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -2ccd?\nAnswer: -2cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 10*g - 168. Let y be z(17). Solve -y*c - 3 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*(-4)\/(-5) + 24 + -23. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 11:48 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-10 - (8 - 3 - 9)) - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 52?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5273\/7 + (-104)\/364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2917065 by 972355.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1063 + 1073. Solve -2*a = 2*j + r, 4*j + 8*a + 16 = 5*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 3*g + 4 = 0. Let p be (195\/3 - 1) + g. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*u + 1148. Let f(s) = -s**3 + 20*s**2 + 2*s + 1. Suppose 75*b - 74*b = 20. Let j be f(b). What is the greatest common divisor of u and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/3 and -51\/34472?\nAnswer: 103416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 983163493 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 90143804 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 3*r = -84. Suppose -5*b - 6 = -r. Suppose 0 = -2*n - b*n + 165. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(-1 + 2 + p - 2*p)*(-4 + 4 + 1)*(43 - 92 + 51).\nAnswer: 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 0*m - 89 = 4*m, 0 = -n + 4*m - 35. Let w(c) = -60*c - 243. Is 49 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69 - -74. Suppose 0*d - 3*y + 195 = 4*d, 0 = m*y - 25. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2 + 2*((sqrt(396) + -1 - sqrt(396))*5 + sqrt(396) + (sqrt(396)*2 - sqrt(396)) + 4 + sqrt(396)))**2*2.\nAnswer: -288*sqrt(11) + 28520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from efegwge. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -68327\/25 - -2733. Which is the second smallest value?  (a) 2  (b) -0.8  (c) 1\/4  (d) u  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1271.573661 to zero dps.\nAnswer: -1272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3556 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-3)\/(-3))*0 + 31260. Suppose 5*x - m = -x. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.288 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e + 9e?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4762151\/5 - 952429. Factor 0 + a*z**4 + 3\/5*z**3 + 0*z**2 + 0*z + 3\/5*z**5.\nAnswer: 3*z**3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -0.22  (c) -5  (d) 2\/83  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-4))\/(9\/(-60)). Let h = p + -8. Solve -3*g - 3 = -h*t, -5*t = 3*g - 4*g - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 566\/7 + -81. Suppose -4*o + 3*m = -25, -m = o - 1 - 0. Suppose 0*r - o*n = -3*r + 19, 4*r - 2*n - 12 = 0. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -701*z**6\/15 + z**3 + 15*z**2\/2 + 554*z. What is the second derivative of f(t) wrt t?\nAnswer: -16824*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4402 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pagsj. Give prob of sequence gjsp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 52 - 136 = 0. Round i to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*u = 5*p - 161390, 3*u + 201751 = 5*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*q - 668250 = -512*q. What is the remainder when q is divided by 338?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (2 - -5 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1178 + -1174. Solve 0*l = s*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 171*z - 165*z - 17538. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148 a factor of 8052072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 4*z**2 - 3\/2*z**3 + 0 + 0*z + 1\/15*z**5 + 0*z**4. Let j(b) = b**2 - 2. What is 4*f(y) - 18*j(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 35715316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 40 = 16*v. Let d(y) = 2*y**2 + v*y**2 - 1 + 6*y - 6*y**2 + 2*y**2. Let q(s) = -s**2 - s. Give d(l) + 4*q(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3\/7, 0.7281, -3, -9 in decreasing order.\nAnswer: 0.7281, -3\/7, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*k - 19*k - 150 = 0. Let n = -16 - -27. Suppose n*f + 28 = k*f. What is the smallest common multiple of f and 17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 14. Let m(r) = 2*r**3 - 2*r**2 - 6*r + 8. Let t be m(2). Calculate the greatest common divisor of h and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(4 - (10 - 5)). Suppose 4*q + 11 + 1 = n, b = -2*q + 34. Differentiate -2*i + 9 + 255*i**2 - 3 - 252*i**2 + b with respect to i.\nAnswer: 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 5*g**2 - 157*g + 794. Determine j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + (-6*-1*sqrt(21)\/sqrt(3))**2).\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1769?  (a) 0.4  (b) 4.3  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22300 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 35*c**3 + 286*c**2 + 396*c - 648.\nAnswer: (c - 18)**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1752944, 1752955, 1752966?\nAnswer: 1752977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (-1 - 19)\/(-5). Suppose -2*k = 3*k + 5*a, 3*a + 16 = k. Is k < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -3\/5  (c) 1\/18549320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -17 - 8. Suppose 2*w - i*w = 246. Let b = -50 - w. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*y - 4*j, -3*y - 2*y = 2*j + 24. Let f(a) = 7*a**2 - 5 + 6*a**2 - 12*a**2. Is f(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 12*j**2 - 3. Let p be h(-3). Let y(q) = 18*q + 624. Let i be y(-29). Let z = p - i. Put -28, 2, z in descending order.\nAnswer: z, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t\/(t\/t**(-3)*t)*t))\/t)\/(t**(-1\/9)*t*t))\/(t**(-4\/5)*t*t\/(((t\/t**(-2\/13))\/t*t*t)\/t*t)*t) assuming t is positive.\nAnswer: t**(623\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2209978 is divided by 230.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4542*c**2\/5 - 40882*c\/5 + 36\/5.\nAnswer: 2*(c - 9)*(2271*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43701351?\nAnswer: 3, 31, 469907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2944, 5548, 8154, 10762, 13372?\nAnswer: 15984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 7 = -3*h + 1, c + 3 = -4*h. Is 1\/4 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 24393 = -3*j, 73227 = 3*c + 682*j - 679*j. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 - 5*c**2 - 3*c**2 + 2*c**2. Let q(h) = -13*h + 5. Let j(b) = -7*b + 3. Let g(y) = 5*j(y) - 3*q(y). Give u(g(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(2\/7))\/(x*x\/x**(-13)*x))**(-9\/2) assuming x is positive.\nAnswer: x**(927\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58 - -65. Let n = h - -15. Suppose -n*f + 46641 + 47497 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*l + 18247 + 5063 = 0. Let z = -324 - l. Calculate the greatest common factor of 99 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of u**3\/6 + 608*u. Let n(y) be the third derivative of -5*y**5\/3 - y**2. Give n(c(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -64 - -68. Put -5, -2, d, 5 in increasing order.\nAnswer: -5, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1862897.29 and 1633.\nAnswer: 1864530.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/1491918 and -38\/353349.\nAnswer: 13427262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**5\/20 + 2*y**2 - y. Differentiate c(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -741 less than -743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33808 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/11, -6, -2\/39?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1204 + 2568. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 greater than or equal to 122\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1325 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: Suppose 8*l + 6*l = 56. Calculate the remainder when 30 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 118285 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 256\/(-96)*3\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of 7\/3*l**3 - 6*l + 0*l**2 - 25. Differentiate v(w) with respect to w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + x - 1. Let u(v) = 6*v**3 - 2*v**2 + 5*v - 5. Let f(r) = u(r) - 3*z(r). Let j be f(1). Is (-3625)\/(-35) - 4\/j a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 890*q = -123*q + 54638 + 74013 for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2087050 = -121*l + 2096004 for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - -5 - (-2 - 1). Suppose -1 = 2*g + 5. Sort g, 3, x.\nAnswer: g, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -764.8, 15 in descending order.\nAnswer: 15, -3, -764.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 1)\/((-2)\/(-6)). Let k(d) be the first derivative of -d**2 - 27*d - 7. Let b be k(-15). Solve 6 = b*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 86 or 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzhzohzohozzzzhhooz. What is prob of sequence ow?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7187, -13588, -19987, -26384, -32779?\n\"Answer: j**2 - 6404*j - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.642119 months to decades.\nAnswer: 0.138684325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by 188.\nAnswer: 11\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**(-8))\/o)**(1\/32)*(o\/(o\/((o**(-1)\/o)\/o)))**(-7) assuming o is positive.\nAnswer: o**(665\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k**2\/k))\/(k**2\/k))\/((k*k\/k**(-1\/8)*k)\/k*k*((k\/((k\/(k\/k**(-1\/10)))\/k*k)*k)\/k)\/k))\/((k**(-1\/3)\/k)**26\/(k*k**(-7)*k*k**8)) assuming k is positive.\nAnswer: k**(3893\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(931) - sqrt(19)) + 0).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -126 - -0.441\nAnswer: -125.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2561878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.4  (b) 7  (c) 0.3  (d) -4462  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*(sqrt(1584)*4*-1 + sqrt(1584) + (-1 + -2 + sqrt(1584) - sqrt(1584)))*6*3)**2.\nAnswer: 1749600*sqrt(11) + 115546500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(7) + 1 - (sqrt(63) + (sqrt(315)\/sqrt(5) - sqrt(63)))) + -1.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2403 from -830.\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 206 (base 9) to base 10\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**8*d\/(d**(1\/5)\/d))\/(d**0)**9 assuming d is positive.\nAnswer: d**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**2 + 3*o**2 + o**2 + (-2 + 2 - o)*(3*o + 5*o - 6*o) - o**2 + 5*o**2 - 2*o**2 + (-2*o - 2*o + 2*o)*(4 - 4 - 2*o) - 3*o**2 + 4*o**2 + 0*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 91 - 1 = 0. What is the highest common factor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1438695 - -133.4?\nAnswer: -1438561.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22981916 or -8?\nAnswer: 22981916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-2 + 7)*-25. Let o = 34 + c. Suppose -z = -53 - o. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5761, 5749, 5729, 5701?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 + -14269885595?\nAnswer: -14269885595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b - 12 = -7*b - 6*m, -4*b - 4*m + 8 = 0. Solve b = 22*x - 7 - 59 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r**2 + 16*r - 16. Let v(w) = -2*w**2 - 3*w + 3. Suppose 6 = 3*l - 0. Suppose -l*u + 9 = 3. Give u*s(o) + 16*v(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4 = -3*b - 0*a, 4*b = a - 13. Let w(c) = c + 1. Determine w(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 j, and 1 l when three letters picked without replacement from brjldjjjdjjjebj?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - 4)\/((351\/(-6))\/13). Let o = -3.3 - -3. Put o, l, -3\/5 in ascending order.\nAnswer: -3\/5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 308282452985 and 0.1.\nAnswer: 308282452985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from atytooaataaaayttaaat.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/697 or 696?\nAnswer: -2\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 34, -0.2, 3, 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.79 + -4.6. Is j >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 1477*t - 10350. Determine l(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 849, 1219, 1837, 2703, 3817, 5179?\nAnswer: 6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 707, 1419, 2129, 2837, 3543, 4247?\n\"Answer: -u**2 + 715*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-1)\/((-1)\/6) + 2 and (2*-1)\/((-2)\/7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -3)\/(1\/7). Let o be ((-12)\/s)\/(8\/(-56)). Is (o\/(-15))\/((-1)\/85) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97 - -98. Let t be (5\/20*z)\/(5\/(-4)). Let f = -0.1 - -0.4. What is the nearest to 10 in t, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-125)\/(-50)*24\/(-20)*6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 104859\/22 + -4765. What is the common denominator of i and (-1)\/(-8)*58\/(-4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (sqrt(13) - (sqrt(13) - (1 + sqrt(26)\/sqrt(2)))**2))*5 - (sqrt(130)\/(-4*sqrt(10)) + 3 + sqrt(13) + -3)) + 5 + -5.\nAnswer: 5 + 17*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14528.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*k + 198*k = -20 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z**3 - 5*z**3 + z**3)*(3 - 3 - 3*z) to the form c*z**3 + u*z**2 + n*z + s + a*z**4 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 26 - 13 - 16*t)*(1 + 2 - 2).\nAnswer: -16*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -42. Let d be v\/8 - 185\/280. Which is the nearest to 0.1?  (a) 0.5  (b) d  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 9*a**2 - 7*a + 10. Let p be k(-8). Suppose -4*z = -0*z + 60. Calculate the least common multiple of (z\/10)\/((-3)\/p) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8848 divided by 8?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 0*n**5 - 2*n**2 - 1\/15*n**6 + 0*n**4 + 0 + 0*n + 1\/6*n**3. Let r = 4 - 3. Give c(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21360?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273*m**4\/4 - 17*m**3\/2 + 273*m**2 + 34*m = 0. Calculate m.\nAnswer: -2, -34\/273, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -617280 divided by 154320.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - i = -q + 11, 4*q + 4*i + 28 = 0. Sort -1, q, -8, 0.\nAnswer: -8, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3531674369644 - 0.3\nAnswer: -3531674369644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1249, 6, -2, 1\/6, -2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -6623?\nAnswer: -13246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 2.8  (c) 2190  (d) 296\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r**2 + 32*r + 67. Let n be -3 + 23 + (2 - 2). Let w(d) = -28*d**2 - 224*d - 468. Let j(i) = n*s(i) + 3*w(i). What is y in j(y) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 113239, 4, -8 in ascending order.\nAnswer: -8, -4, 4, 113239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4074888 + 93963 = -98*n - 127*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvgg when four letters picked without replacement from {l: 1, v: 2, w: 7, m: 2, g: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (58\/(-12))\/((-13)\/78). Suppose 6 = -i - 5*y - 16, -4*y = -3*i + t. Differentiate -12*h**i + 35*h**3 + 5*h**3 - 35 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 8 = -6*t. Let i = -3 + t. Let h be (-3 - -2)*-1*i. Calculate the greatest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c962 + -18b3?\nAnswer: 1b07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7831 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(-6)\/14 - 6\/14. Let g(b) = -b**2 + b + 1. Calculate g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34\/148638805 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 h when four letters picked without replacement from {m: 6, h: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/8  (b) -0.092  (c) 9738\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -693065 divided by -79.\nAnswer: 693065\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15952128*y + 1293549*y + 1882686*y.\nAnswer: -12775893*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392261968?\nAnswer: 2, 7, 379, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -75 - -13. Let l = 61 + v. Let c(u) = 6*u**3 + 2*u + 1. Give c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**5 - 12*r**4 + 1153*r**3 + 29880715*r?\nAnswer: -40*r**3 - 144*r**2 + 6918*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(9\/(-6) + 1)*-10. Suppose -3*n = l*n + 8. Which is smaller: 6\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*v + 96 = -5*s, 15*s + 20*s = 33*s - 4*v + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 264*n + 1060, -3*n + 8 = 231300*t - 231298*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(20)*-1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 13 - 1 + 15 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64549184?\nAnswer: 2, 7, 149, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/5))**(2\/7)\/(h*h\/(h\/h**(1\/2)*h))**(-29\/2))**36 assuming h is positive.\nAnswer: h**(8991\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1434790 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 1043\/248?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 99339396 >= 99339398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 38*f**2 - 20*f - 456. Give m(39).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 11*g + 78. Let l be u(-7). Let x(b) = -19*b - 3. Let m be x(-3). Let j = m + -215\/4. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 3*s - 6. Let t be z(2). Solve t*c + 24 - 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.114 take away -319898?\nAnswer: 319846.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -163 - 959. Let g = c - 108. What is the remainder when g is divided by (-2 - 1) + 8 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -274500 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*r - 225*r - 77*r.\nAnswer: -258*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - -30. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-1\/3))*p)**43\/(p**(-4\/7)\/(p*p\/p**(1\/3))) assuming p is positive.\nAnswer: p**(649\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 8:48 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, y: 1, r: 2, w: 1, k: 5, e: 5}. What is prob of picking 1 f and 2 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12665155?\nAnswer: 5, 2533031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51354*d - 8610 = 51564*d for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 12 = 4*r, 4*u - 5*u = 5*r - 4. Let f = 11089 - 11088. What is the closest to -3 in 5, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 430189223 or 430189224?\nAnswer: 430189224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v + 35 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 7 = 2*s, 2*t + 6 = -168*s + 174*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -5*n + 69. Let y(f) = -32*f**2. Give y(v(q)).\nAnswer: -800*q**2 + 22080*q - 152352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 346, 663, 974, 1279, 1578?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 115 - 130. Let t = z + 29\/2. What is the nearest to 0 in -6, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12\/5  (b) -2  (c) -2\/11  (d) 147449  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8987961 weeks to days.\nAnswer: 6.2915727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 3 + (-1 - (6 + -3)) + (-3209 - -3204)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 109 + -61. Let m be 16\/(-6)*l\/(-32). Let s be 4 + ((-3)\/14 - m). Do s and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 8*u - 18 + 6*u - 11*u. Let a be n(7). Sort -2, 0, a, -4 in descending order.\nAnswer: a, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 199248 and 29540.\nAnswer: 210206640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 590 and 165023?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v - 15. Let c(l) = 5*l - 23. Calculate 5*c(m) - 8*x(m).\nAnswer: m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -33  (b) 43\/73  (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3 + 2)\/(5\/(-180)*2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/192 and -79\/2.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 278*u + 38. What are the prime factors of i(20)?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + (sqrt(1100) + 1 + sqrt(1100) + 2 + (2*sqrt(1100) - sqrt(1100))*-5)**2)*5*-5.\nAnswer: -1238375 + 22500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 121 - 60. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y**3 - 80*y**2 + 919*y + 6720 = 0. Calculate y.\nAnswer: -5, 21, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/21 - 0) + (-1760)\/(-2240) + (-1)\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*l = 5*w - 8, 3*l + 6 = -5*w. Let i(b) = -1 - b**2 + b**3 - 2*b**3 - 3. Let c be i(-3). Solve -2*z + w*s + c = 4*s, s - 20 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/8250300 and -149\/40050.\nAnswer: 8250300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1496, 3968, 7420, 11852, 17264, 23656, 31028?\n\"Answer: 490*m**2 + 1002*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0270366 and 2.06.\nAnswer: -0.055695396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 8. Let v(q) = 8*q - 7. Let m be v(r). What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -4, -8, 165 in increasing order.\nAnswer: -8, -4, -1, 1, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -14.8515  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.131 - 35.669. Let m = 5.8 + l. Let h = m + 30.5. Which is the second smallest value?  (a) h  (b) -6\/19  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12, -23, -34, -57, -104, -187, -318, -509?\n\"Answer: -2*i**3 + 12*i**2 - 33*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-10) - (-177)\/5. Let c be (-760)\/(-57)*(450\/20)\/15. Calculate the highest common factor of c and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 271*l**2 + 658*l + 26*l**3 - 1911\/2 + 1\/2*l**4 = 0. What is l?\nAnswer: -39, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 + 59. Let h = 112 - 114.95. Let g = h + -0.05. What is the nearest to -1 in y, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**0)**(-5\/13)*(m**(2\/7))**(-2\/11)*((m*m\/(m*m\/(m*m**(-1\/3))))**(-37))**(-3\/5) assuming m is positive.\nAnswer: m**(71889\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 10 = -0*x. Let i(d) = -2*d**2 + 2*d - 2. Let v be i(2). What is the units digit of x + 2\/(-2)*v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -179, 3, 5 in descending order.\nAnswer: 5, 3, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*h - 23*h - 5. Let u be h\/((-4)\/(-40)*5) - -3. Which is smaller: 1\/38 or u?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 7*t**3 - 202*t**2 - 12*t. Let u(b) = -6*b**3 + 201*b**2 + 10*b. Determine -5*m(v) - 6*u(v).\nAnswer: v**3 - 196*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 56349280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 63*c**5 + 153*c**5 - 65*c**5 - 605*c**2 + 26 + 605*c**2 - c**5 + (6*c**3 - c**3 - 2*c**3)*(2*c**2 - 4*c**2 + 3*c**2).\nAnswer: 153*c**5 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + -290 + 295 + -32\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9570 is divided by 2379.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(2\/(-1)))\/((-3)\/(-3)*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.14 + 5.14. Do 317 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427519928 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1819556.6 times -0.5\nAnswer: -909778.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/72)\/((-375)\/675)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-64103720)\/(-266) + ((-12)\/(-56))\/(2\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -88\/455 or -1?\nAnswer: -88\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -179 times -4\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*y = -2*y + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34100, 34091, 34076, 34055?\nAnswer: 34028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -10*u**2 + 25. Let i(m) = -12*m**2 + 24. Let w(b) = 4*i(b) - 5*j(b). Let s(p) = 2*p. What is s(w(f))?\nAnswer: 4*f**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(336)*3*2)\/sqrt(12))\/(-6*sqrt(400)*-1) + -5.\nAnswer: -5 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 17*w**2 - 13*w + 16. What is the tens digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-84)\/(-280) - (-2)\/(-4). What is the nearest to 4\/9 in x, 0.2, 4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-17)\/(u\/(u*u*u*u\/u**(1\/5)*u*u)))\/(u**(-6\/13)*u*u*u\/u**(-13)) assuming u is positive.\nAnswer: u**(-1803\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z + 0 = 22. Calculate the remainder when 56 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/6)\/(((-3)\/(-1))\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y*y*y**(-4)*y*y)))\/y)\/y**(-2\/7)*y**(1\/8)\/y*y**9 assuming y is positive.\nAnswer: y**(415\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 4*s + 2*s = -10, -t - 4*s + 8 = 0. Let b = t - 2. Suppose 5*f - 96 = -3*q, -3*f - q = 4*q - 64. What is the highest common factor of f and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {s: 5, e: 2, m: 3, f: 2, u: 2, y: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 0*g - 3*g)*(1 + 2 - 2) + g - 4*g + g - 3*g - 2*g + 7*g - 2 + 2 - 2*g + (-3*g - 3*g + 5*g)*(118 + 70 - 805).\nAnswer: 614*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13717867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0*g - 2*g + 2)*(-16*g + 20*g - 12*g).\nAnswer: 16*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 2. Let h(l) = 15*l + 15. Let v(g) = 7*g + 8. Let w(a) = 2*h(a) - 5*v(a). What is -11*n(j) + 2*w(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(0 - (-6)\/16). Let r(n) = n**3 + 8*n**2 - 2*n + 2. Suppose -2*a - 204 = -8*a. Calculate the remainder when a is divided by r(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 0 = s. Suppose -v = -s*v + 6. Let y be (3\/(-2))\/(9\/(-12)). Solve -y = v*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n**(-1\/6)*n*n)\/n*n)\/(n\/n**(2\/9)*n*n))\/(n*n*n\/n**4*(n\/n**(4\/3))\/n))**(-1\/27) assuming n is positive.\nAnswer: n**(-43\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 320\/116560*93\/6?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + 3. Let y(d) = 21*d**2 + 490*d + 10. Let p(v) = -14*v**2 - 343*v - 7. Let c(j) = 10*p(j) + 7*y(j). Give b(c(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 211?  (a) 0.2  (b) 1\/8  (c) -4  (d) 0.5  (e) -9\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15312 and 7986?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 5:31 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10  (b) 4\/17  (c) -0.1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-18)\/126)\/((-2)\/7). Let t be 3\/6*1 - 2. Let z be -1 + (-7)\/(-5) - 0. What is the third biggest value in t, z, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*j. Suppose -5*k = -4*o - 191, -5*k + j*k - 4*o = -159. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/4)\/(7\/42). Let k(g) = g**3 - 8*g**2 - 8*g - 12. Let p be k(t). Let d be (33\/(-27))\/((-1)\/p). Is -4 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/6 + (-9)\/2. Let x = 3.96 - -0.04. What is the second biggest value in -2\/5, x, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {f: 2, i: 4, w: 3, d: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16786096*c**4 + 2*c + 2591391?\nAnswer: 201433152*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*d - 55*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-1 - (4 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.09 less than or equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3\/7, -4, 2, 0.3, -13\/7 in descending order.\nAnswer: 2, 3\/7, 0.3, -13\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-1 + 10 + 13 + -9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 0*w + 11*w)*((w - 2*w + 2*w**2 + 3*w)*(0*w**2 + 2*w**2 - 3*w**2) - 3*w**4 - 2*w**4 - 3*w**4).\nAnswer: -110*w**5 - 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 4*g**4\/7 - 64*g**3\/7 + 60*g**2\/7 = 0?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11\/4?  (a) 2  (b) -3  (c) -3\/8  (d) 3  (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -7. Suppose -2*o - 24 = -z*o. Let w be (2\/(-6))\/(10\/o). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/5, 14, 129679?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002728743 to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 863413.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 + -26 + 49 - 22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -0.5, -335969, 2 in descending order.\nAnswer: 2, 2\/3, -0.5, -335969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 4*i + 3. Let j be ((1 + i)\/((-20)\/30))\/(-1). Suppose 10 = t + j*s, 4*s - 5*s - 92 = -4*t. What is the least common multiple of t and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 4 = -1. Let w(s) = -4*s**3 - s - 1. Let f be w(d). Suppose 6*l - f*l - 110 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -7.98. Let f = -6881 - -6881.12. Which is the biggest value?  (a) 0.2  (b) -1  (c) f  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 25*l**9\/504 - 7*l**5\/20 + 2*l**2. Find the third derivative of v(i) wrt i.\nAnswer: 3000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30.81 + 5.89. Let t = y - 37.7. Which is smaller: 469\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -728 or -81659?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -3*q**2 + 14 - 30 + 16. Let j(v) = 3*v**2. What is j(m(i))?\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*w - 5*w. Is 6 - (-130)\/(-25) - (-61741)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*a = 23*a - 4*l + 36, -4*a + 37 = -5*l. Calculate the lowest common multiple of a and 3014.\nAnswer: 12056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**5 - 1 - 2*r**2 + 1 + r**5 - 2*r**5 - 4*r**5 + (-26*r**2 + 74*r**2 - 20*r**2)*(-5*r**3 + 0*r**3 + 9*r**3).\nAnswer: 109*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 + 28. Which is bigger: h or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 223\/7 + -32. Put 1, -0.4, t in increasing order.\nAnswer: -0.4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -131, -288, -497, -752, -1047, -1376?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3876 + 3876 - 2*x. Let l(i) = -3*i**2 + 3*i**2 - i**2. Give u(l(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 10*x + 5. Let g(u) = 5*u + 2. Determine 9*g(r) - 4*z(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -18, 0.2, -0.5, 13, 5171?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**2. Let r(d) = 1. Suppose 4*i - 8 = 2*i. Let j(x) = -x + 9. Let a(u) = i*j(u) - 36*r(u). Give c(a(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 10:29 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 194*m*n**2 - 42169288*m*n + 3*n**4 + 66178*n**3 + 4*n wrt n?\nAnswer: 388*m + 36*n**2 + 397068*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 193369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.115012 and 0.5.\nAnswer: 0.615012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.021, -4, 0 in descending order.\nAnswer: 0, -0.021, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11)\/(308\/10353) + -1. Let o = -371 - w. What is the nearest to o in -5, -3, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.76 + -33.76. Is z equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/(-30)*(-1 - -1665). What is the highest common factor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 157183 - 157183 + 15*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = i + 2*z + z, -110 = -5*i + 5*z. Calculate the highest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3943921\/58 + 67997. Find the common denominator of v and -13\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 times 2.03\nAnswer: 123.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*0\/(-1 - 1) - -3. Suppose -z*d + 22 = 7. Suppose 6 = 3*c - 0*c. Solve v + d*q + 34 = -c*v, 0 = -4*v + 4*q + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6736003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -28958*(-1)\/5 - 248\/(-620)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.039 to 1 decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*r = 57, 0*a - r = -a + 21. Calculate the smallest common multiple of a and 147\/9 + (-3)\/9.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 + 452 = -30*l - 38*l. What is the fourth smallest value in -3, l, 0.2, 0.32, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -407.706 rounded to 0 dps?\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*d + 16762 = -281*d - d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 179 + -169. What is the remainder when 89 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 168?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**3 + 184212*y**2 - 2086483212*y - 795195768996 = 0.\nAnswer: -369, 23211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 - 208.547.\nAnswer: -208.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72101398?\nAnswer: 2, 149, 241951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 222472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 15) + (-47 - 7) + 20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -10383\nAnswer: -1\/10383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -171000 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 10:53 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3*z + 13, -2*z + z - 6 = 2*h. Let j(x) = -5*x + 4 + 0*x - 3. What is j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(102) + (sqrt(102)*-1 - sqrt(102))*-3)\/(sqrt(60)\/(sqrt(10)*-2)) + (sqrt(17) + 3*sqrt(17)*4 + sqrt(17) - sqrt(153)\/sqrt(441))).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - 2*((1*sqrt(114) - sqrt(114)) + sqrt(114) + sqrt(114) - sqrt(114)))\/(-6*sqrt(30)\/sqrt(5)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 116 + -82. Let l = q - 32. Suppose 28 + 166 = l*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 1978*q - 383710. Calculate j(194).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7918 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1, 4, -2\/5, 0.22, 116, -4 in descending order.\nAnswer: 116, 6, 4, 0.22, -2\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 43844 (base 12) to base 4\nAnswer: 111303310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q + 2*q - 3*q + (0 + 3 - 4)*(5*q + 0*q - 2*q) - 2*q - 3 + 3.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*h**3 - 2 - 2*h**4 - 5*h**3 - 10*h**3 + h in the form k*h**2 + v*h**3 + f*h + u*h**4 + c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + 8*k - 36, -22*y + 11*y = -6*y - 12*k + 87 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 104896 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*(-1)\/16*14\/49.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of x**6\/160 - x**5\/240 - 5*x**3\/6 - 4*x. Let u(v) be the second derivative of f(v). Factor u(r).\nAnswer: r*(9*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/200 and -23\/112769960.\nAnswer: 563849800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/8 - (-21)\/(-8). Let z(t) = -3*t - 9. Let v be z(r). Let f = 9 + -15. Put -1, v, f in decreasing order.\nAnswer: v, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 82643, 165443, 248243?\nAnswer: 331043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 3*t = -31157, -s - t + 1250 = -4975. Let h = 8730 - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 2*d + 4*d)*(0*d - 4*d + d + (1 + 4 + 4 - d)*(-1 + 2 + 4)).\nAnswer: -16*d**2 + 90*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -117*s**2 + 8*s - 8. Let t(l) = -39*l**2 + 3*l - 3. Give -8*t(v) + 3*y(v).\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -13476088.\nAnswer: 5\/13476088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3939490202 - -1.\nAnswer: -3939490201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 6933*n + 2525*n + 588*n + 4208*n as h*n + j and give h.\nAnswer: 14254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -1931*u**4\/4 - 995*u - 89. What is the derivative of d(w) wrt w?\nAnswer: -5793*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by -1172753\nAnswer: 42\/1172753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwwkw. What is prob of sequence wk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 1:41 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-609)\/(-12) + 3\/12)*1 is divided by (-177)\/(-6) + (-12)\/144*-6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -173, -174, -175, -176, -177?\n\"Answer: -n - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((((-50)\/(-30))\/((-15)\/27))\/(-8))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10\/6439 - -598637\/122341. Let m = -4543\/342 + r. What is the common denominator of 53\/18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27438 (base 11) to base 2\nAnswer: 1001100011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 306752 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -1. Let p(a) be the second derivative of -a**8\/3360 + a**5\/20 + 2*a**4 - 30*a - 1. Let t(b) be the third derivative of p(b). What is 3*n(h) + t(h)?\nAnswer: -2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 275\/10*87\/15. Let p = j + -3497\/22. Find c such that 6\/11*c - 2\/11 - p*c**2 + 2\/11*c**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 1021*g**4 - 5*g**2 + 914*g + 1. Let r(m) = 1022*m**4 - 6*m**2 + 914*m + 1. Let l(o) = 5*r(o) - 6*z(o). Find the second derivative of l(p) wrt p.\nAnswer: -12192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -2. Let t = 7 + -18. Let d = t + f. Which is the biggest value?  (a) d  (b) 3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjqjj. What is prob of sequence jqj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 570 divide 85582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 789*n - 5522. Calculate i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06 - 0.11. Let y = o + -1.95. Let z = -3 - y. Sort 0.2, z, -6\/7 in increasing order.\nAnswer: z, -6\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188564 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1339 is divided by 1339.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 403476.\nAnswer: 3\/134492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f - 10*f = 252 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9937 + 10010. Suppose 6*f = a + f - 6, -15 = -a - 4*f. Calculate the smallest common multiple of b and a.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 116*x**2 - 25.\nAnswer: 232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 601*f = 637*f - 541512. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 * -106074\nAnswer: 1591110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 103307427 and 8721.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 35, 63, 87, 107, 123, 135, 143?\n\"Answer: -2*s**2 + 34*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + 2*sqrt(84)))))\/sqrt(12) + 2*(1 + sqrt(7)) + 2 + ((-1*sqrt(14))\/sqrt(2) - sqrt(7)))**2.\nAnswer: -16*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**2 - 12*z + 15. Let n be 1*(-7 + (-8)\/(-2)). Let j(q) = 3*q**2 - 12*q + 14. Let b(x) = n*j(x) + 2*u(x). Factor b(c).\nAnswer: -3*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 248094751.\nAnswer: 1933, 128347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -2*g**4 + 1524*g**3 - 22410*g**2 - 1000*g + 747000 = 0?\nAnswer: -5, 10, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l = -2*q + 3*l + 8, -919 = -7*q - 8*l - 915 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 8*n**2 - 23. Let u be p(7). Let z = u + -24. Suppose 7*f - 1615 = z*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - g - 71 = -4*j - 7*g, -5*j + 2*g + 60 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00028832884 to seven decimal places.\nAnswer: -0.0002883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -59 + 171 - 60 - 59 - 6*m. Let b(q) = 2*q**2. Determine h(b(d)).\nAnswer: -12*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 123 - 110. Suppose l = -4*w, -4*l - 3*w = -0*l - t. Suppose -4*h - 4*i + 0 - l = 0, -3*h = -i - 17. Solve -3*n + 12 = -0*n, -h*y = 3*n - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(76) - sqrt(38)\/sqrt(2)*1.\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 341 a factor of 35765693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.3  (b) 1\/52  (c) 0  (d) -717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 232443 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p**4 + 13008*p**3 - 2433320*p**2 + 9564336*p - 7144020 = 0.\nAnswer: 1, 3, 195, 3053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3561521 (base 9) to base 11.\nAnswer: -10a9115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -5*m - 4. Let c(y) = y + 1. Let a = -274635 + 274633. Let n be (-2)\/3 - (-64)\/(-12). Calculate a*x(d) + n*c(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -2*w**2 + 3. Let s = -6 + 8. Let q(l) = -s*l + 3 - 3. Give f(q(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -685 - -685. Solve -6*p - 5*p = r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 7*g**2 + g - 2. Let u be z(7). Suppose -6*c = -c + u. Let k be (3 + -2 + -22)*c. What is the highest common divisor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 16) in base 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 668596430 and -150.67?\nAnswer: 668596580.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 0.4. Let g be -2 - -1 - 4\/(-3). What is the closest to p in -3, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, n: 8}. Give prob of sequence nnr.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.9718078 millennia?\nAnswer: 97.18078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 30\/12 + 43\/2. Suppose 0 = -0*p + 2*p + 1124. Does 23 divide p\/(-7) + k\/(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 1370*y + 65754. Give q(-48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10238?\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15204 and 42716.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 10:27 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7, 11, 27, 61, 119, 207?\n\"Answer: h**3 - 3*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -306134\/72471 - -737\/174. Calculate the common denominator of 25\/374 and s.\nAnswer: 18326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 11 = -3*k - 5, -2*l = 2*k + 4. Sort l, 0.2, -143.\nAnswer: -143, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -117*b**4 - 21*b**2 + 7*b + 17. Let c(u) = -59*u**4 - 11*u**2 + 4*u + 9. Let x(t) = -7*c(t) + 4*s(t). What is the third derivative of x(m) wrt m?\nAnswer: -1320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 62*s. Let x(c) = 7*c + 5. What is l(x(r))?\nAnswer: 434*r + 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6978, -4, 4.\nAnswer: -6978, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asasaamsary. Give prob of sequence am.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*b, -b = -53*p + 57*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 79\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.00254 + -0.09746. What is the biggest value in 0, 0.02, d, -2\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (53 - 57) + 7 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3*d + 14 + 17 - 2 - 4. Let m be y(10). Let j(n) = -2*n + 4. Let h(v) = -v - 1. Let r(x) = -3*h(x) + j(x). Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 11647178\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7567107 - 1036850. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 70*m**2 - 404317*m. Let l(t) = -19*t. Give j(l(a)).\nAnswer: 25270*a**2 + 7682023*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2773552429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 4\/3*l**3 - 2*l**2 + 0*l - 7\/24*l**4 + 0 - 1\/60*l**5. Let q be o(-8). Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 4*z + 2 = 0, 3*q + 516*z - 19 = 3*q - 4*q + 521*z for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 14*u**2 + 2*u + 2. Does 25 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 57*m + 11. Let x(j) = 9*j + 1. Determine -v(y) + 7*x(y).\nAnswer: 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c = 26 - 50 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2266 - -8255. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*t - 1259 - 4*t + 1259.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2163092.\nAnswer: 2, 540773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*s - 35\/2*s**3 + 11\/2*s**4 + 0 + 25\/2*s**2 - 1\/2*s**5 = 0. Calculate s.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 69.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**5 - i**5 - i**5 + (4*i**3 + 0*i**3 - i**3)*(3*i + 2*i**2 - 3*i) + 2*i**5 + 4*i**4 - 4*i**4 + (-18*i**3 - 11*i**3 + 6*i**3)*(5 + 2*i**2 + 8 - 1).\nAnswer: -40*i**5 - 276*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/99 and -109\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (1 - (-51)\/18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -4\/5  (c) 2  (d) -4.058  (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p + 1. Let x(l) = 12*l**2 - 9*l. Let b(s) = x(s) + 3*z(s). Factor b(q).\nAnswer: 3*(2*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 46*r**3 - 4*r**2 + 4*r + 19. What is the thousands digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6547189 and -134.\nAnswer: -6547323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y. Let i = 17 - 9. Let k(u) = 4*u**2 - 5*u**2 + 2*u**2 + i*u. Let p(n) = n**2 + n. Let m be p(2). Give m*f(z) - k(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1636145 - 0.16?\nAnswer: 0.0036145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*x - 1181 - 470. Let t = -117 - x. Solve t*q - 6*q + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -21.8, 2\/4133, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -5*1654\/(-30) - (-5)\/15 and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2662 = 6520*m - 6762*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 688987 or 688985?\nAnswer: 688985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, -156, -0.027, -4, -2?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (22\/(-8))\/(-11)*1. What is the closest to p in -2, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25 - -47. Let i = 1857 - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 10) + 8 + 4 + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (5 - 9) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2\/3*v - 8\/5*v**2 + 2\/15*v**3 + 20 = 0?\nAnswer: -3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31835 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 2*h**2 - 27*h + 181. What is c(4)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75.6 + -60.4465768.\nAnswer: 15.1534232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-400)\/(-180) + 2\/(-9). Suppose 0 = -4*k + 8, 508 = 3*n + j*n - k. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 5*z + 341, 14 = 3*y - 3*z - 241. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3 - y**4 + 116*y**4 - 83*y - 153*y**5 - 37*y + 151*y**5 wrt y?\nAnswer: -40*y**3 + 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 7*d - 2. Let r(x) = -4*x + 1. Let m(b) = 5*r(b) + 3*w(b). Let j be m(7). Which is bigger: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*k**3 + 138*k**3 + 60*k**3 + 3*k**3)*(6*k - 26*k - 16*k).\nAnswer: -6516*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -6*a + a. Let c be 2\/a + 14\/144. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.3 and -0.7?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1719.35732 rounded to one dp?\nAnswer: 1719.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 171979118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -10658778.\nAnswer: -4263511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1145\/13?  (a) -4  (b) -1  (c) 12\/103  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b\/(b*b**(-4)))*b*b**(-2\/55))\/(b*b**29*b*b*b**(-5)) assuming b is positive.\nAnswer: b**(-1652\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2188*o*q**2 - 3475*o - 2*q**3 wrt q?\nAnswer: -4376*o*q - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/234 - 8\/(-52). Sort j, 0.2, 0.\nAnswer: 0, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssossssssssssssss. Give prob of picking 2 s.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -44 - (34 - 144 - -25)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbmfbhbh. What is prob of sequence fh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 8*k - 48 = 0. Suppose -3*t + 5*b + 12 = 0, 0 = t - 5*t - b + k. Suppose -t*g = -5*g + 4. Solve g*c + 6 + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -6*b + 26. Let t be w(4). Let i be 5 - t*7\/((-56)\/36). Solve 8*g - g = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - 2. Let j(q) = -72*q**2 - 82*q**2 + 158*q**2 + 7. Give 21*i(l) + 6*j(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 7:27 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 0  (c) -4\/9  (d) -1825  (e) -9  (f) -2\/15  (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c99 + 3?\nAnswer: -1c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, n: 1, u: 1, o: 4, l: 2}. What is prob of sequence on?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -915085479304 - -462.\nAnswer: -915085478842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.7592761 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-63)\/(-15))\/(9\/(-6)). Let j(q) = -q - 2 + 0*q + 6 + 3. Let s be j(9). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*j**3 - 94*j**2 - 132*j + 18.\nAnswer: -2*(j + 3)**2*(8*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is d (base 16) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + t + 1. Let h(n) = 16*n**2 - 14*n - 14. Let s(p) = 3*h(p) + 42*i(p). Let a(w) = 4*w**2. Give a(s(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(128) + 0.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6048 - -6044. What is the third biggest value in o, -2\/443, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5601, 5586, 5563, 5532?\nAnswer: 5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 14390*b - 2 + 1.\nAnswer: -14390*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*o - 2365 = -2021 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -31ad (base 14) in base 11?\nAnswer: -64a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44028)\/(-40359))\/((-2)\/(-99))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 3:43 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m - 1. Let p be j(-5). Suppose -5*f + 4*n + n + 40 = 0, -f = 2*n + 7. Suppose -f*q + 21 = -3*o, 0 = -0*o - 5*o + 2*q - 29. Does p = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -0.1  (c) 4  (d) 4\/1375  (e) -1\/3  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a + 7*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 538423.\nAnswer: 538423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 1333*y - 10 - 2649*y + 1322*y. Let m(a) = -1. Determine 40*m(d) - 4*p(d).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1422*z**2 - 1422*z**2 - 555*z**5)*(1 - 1 + 4).\nAnswer: -2220*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 678.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q - q - 2*q + 6*q to the form s*q + k and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*s - 3*s + s)*(2*s - 4*s - 2*s) - 162*s**2 - 198*s**2 + 710*s**2 to the form q + o*s**2 + l*s and give o.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 4 + 2*(1 + sqrt(128) - sqrt(128) - sqrt(128)) - (5 + 3 + (sqrt(128) - (sqrt(128) + 0)) + 1))**2.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 4053816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -513, -511, -509?\n\"Answer: 2*c - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(12\/11)*r*r\/(r\/(r\/(r*r*r**15))))**(-19))**(9\/4) assuming r is positive.\nAnswer: r**(26163\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-61360)\/(-19175))\/((-2)\/20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 14*y**2 - 2*y - 1. Let m be b(-1). Suppose 78*u - 19 = 72*u + 11. Solve -3*x - 3*l - m = 0, u*x + 39 = -4*l + 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(((sqrt(96)*-1)\/sqrt(8))\/(sqrt(216) + sqrt(216)*1 + sqrt(216) - sqrt(216)) - (-3*sqrt(2)*-5 - -1*sqrt(50)))*-2)**2.\nAnswer: 1452025\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 0*h = -12. Suppose -8*t = -h*t + 16. Let i be 48\/9 - (-2)\/3. Solve t = 2*f - i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m**4 + m**2 - 2*m**3 + 676 - 3*m**4 - 674 - 4*m**4 to a*m**2 + l*m**3 + q*m**4 + y + x*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.095 plus -819434043675?\nAnswer: -819434043675.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvhhh. Give prob of sequence hhv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3c91b - -78?\nAnswer: 3c995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -n + 4*o + 17, -5*n = 3*o + 4. Let y = -62 - -119. Let x(p) = y - p - 27 - 7*p**2 - 29. What is x(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = p - 12. Let a(w) = -w**2 + 25*w - 132. Let m be a(8). Calculate the highest common factor of m and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -c**6\/72 - c**5\/60 - c**3 - 2. Let a(f) be the third derivative of l(f). Factor a(r).\nAnswer: -r*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 234633.913 to the nearest 100.\nAnswer: 234600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbnbbbnbnbnnnbnbbnn. Give prob of sequence nnbn.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 266623 in -5, -25\/3, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8037.693 centuries to decades.\nAnswer: 80376.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 2*j**2 + 19234*j - 598176 = 0.\nAnswer: -9648, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, 2\/9, -758?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 23389335 divided by -15\nAnswer: -1559289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 458491374 rounded to the nearest one million?\nAnswer: 458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.139 times -174.083?\nAnswer: -24.197537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13.9622 and 1738?\nAnswer: -24266.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a**2 - 12*a + 35. Determine t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 + 0. Let s be (3\/6)\/((-14)\/(-35)). What is the biggest value in s, o, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c + a?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*i, -4*i = 2*n + 3*n + 15. Let f be (-487)\/(-12) + 2\/(-8). Let y = 41 - f. Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 11*f**2 + 2*f - 44. Let y(z) = -13*z**2 - z + 46. Determine -6*n(l) - 5*y(l).\nAnswer: -l**2 - 7*l + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 817830 + -817849. Let i be (-87)\/6*(-1 + 3). Is y at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/9 + 3416*o\/3.\nAnswer: -2*o*(o - 5124)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {n: 1, h: 1, y: 4, e: 2, t: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q**2. Let o(a) = 147 + 152 - 307 + 3*a**2. Calculate w(o(x)).\nAnswer: -27*x**4 + 144*x**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1761 - -2?\nAnswer: -175a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + t - t - t**2)*(-13*t**3 - 11982 + 11982).\nAnswer: 13*t**5 + 26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 7 = 6*h - 4*h - z, 0 = 27*h - 4*z - 23 - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(2\/7)*v)\/v)**(-14) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/918255 and 127\/1836510?\nAnswer: 1836510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -32, -6, 36, 100, 192, 318, 484?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 441679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -1 + (3 - 4 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1489*v = 1482*v + 28. What is the remainder when 219 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 13) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 80?  (a) 5  (b) -1\/5  (c) -2\/11  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 27059900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 110410741 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42 + 44. Suppose -v*a = 2*m - 29 - 35, 36 = m + 2*a. Suppose m*i + 31 = 29*i. Calculate the remainder when i is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, -57, -4, 75?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000 (base 2) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 108 + -105. Find the first derivative of -15*p**4 + d - 16*p**4 - 26 wrt p.\nAnswer: -124*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 10, -4, 2\/23, -4\/3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 - 37. Let k = 10 + s. Suppose k*g = -5*y + 334, 5*g + y = -472 + 1261. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -108*p**2 + 9*p - 9. Let m(a) = 27*a**2 - 2*a + 2. Calculate -9*m(y) - 2*z(y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1735568*m**3 - 1364748 wrt m?\nAnswer: 5206704*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z = -8*z + 13*z - 105 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -125 - -445. Solve -316 + c = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -863, -54, 0 in descending order.\nAnswer: 0, -9, -54, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 17 and -0.1139932016.\nAnswer: 16.8860067984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7 = 2*o - 36, -5*o + 2*t = -71. Suppose m - 168 = 9*d - o*d, -d + 42 = -m. Calculate the greatest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g + 38. Let f(o) = -9*o - 62. Let c(q) = 8*q + 60. Let u(l) = -3*c(l) - 2*f(l). Let s(v) = -5*u(v) - 8*x(v). Let w(p) = 2*p**2. Calculate s(w(k)).\nAnswer: -4*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.4 - -2.6. Let b be (2\/4*2)\/(-4). What is the nearest to 0 in -0.3, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4503679*o**2 + o**3 + 4503679*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, e: 9}. What is prob of sequence ieii?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**2*j**2 - 2479*g**2*z**2 - g*j**2*z**2 - 1016*j**2*z + 96*z**2 - 23*z wrt z.\nAnswer: -4958*g**2 - 2*g*j**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -475 + 948. Solve -k*s = -468*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 255 (base 6) to base 15\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(4*sqrt(2)*4) - (sqrt(3200)\/sqrt(10) + sqrt(5) + sqrt(5) + 2).\nAnswer: -159*sqrt(5)\/16 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1419 - -4395. Does 96 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 5:19 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 6. Suppose -4*d = -5*k + 19, -q*d + 2*d = -4*k + 24. Solve -5*o - k = 5*x + 3, -2*x - o - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417355877 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2010 = -17*h - 701. Calculate the highest common divisor of 88 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106092 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10429*k**2 + 16*k - 153189 wrt k?\nAnswer: 20858*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f**4 - 31873691*f**3 + f**2 + 285396966 wrt f?\nAnswer: 8*f**3 - 95621073*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 400287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*f**3*v**2*y**2 + 160*f**3*v + 12793*f**3*y**2 - 2*f**2*v**2 + 109*f*v*y + 2*v wrt y?\nAnswer: 16*f**3*v**2 + 25586*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7468068 or -0.1?\nAnswer: 7468068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 395*n - 1950. Let i be u(-5). Determine t, given that -15\/2*t + 10*t**3 - 5*t**2 + 5 + i*t**4 - 5\/2*t**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 73?  (a) -1\/8  (b) -5  (c) -1  (d) 11  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*l = -2*m - 10, -l + 16 = 4*m. Let w(t) = -t - t + m*t + 1. List the prime factors of w(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142 + 132 + (-2 - 15) + 5 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 0.9. What is the second biggest value in 4, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 11*o**2 - 12*o + 10. Let s be p(-10). Let c be (-6)\/15 - (-21312)\/s. Suppose 7*k - c = 2*k + m, 5*k = 5*m + 690. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 5:30 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 1. Let n be d(2). Suppose -10 = -3*p - h, 3*h - n + 16 = 0. Suppose 2*u + 123 = t - 0*t, -t - p*u = -95. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.07  (b) -0.4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -13*c**2 - 1294*c + 10967. What is l(8)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1011011110010101011101?\nAnswer: 1011011110010101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 7. Suppose 5*h - 3*k + 5 = i, -5 = -h - k - 14. Let x be (-21)\/h + (-4)\/16. Solve 0 = 5*f + 5*w, 0 = x*f - 0*f - 5*w + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/3)\/(q*q**(1\/2)))\/(q\/q**(-3)*q\/(q\/(q**(6\/11)\/q)*q*q)*q))**(-4\/7) assuming q is positive.\nAnswer: q**(446\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-6\/7)\/(c\/c**9)*(c\/((c*c**(-1\/21)*c)\/c))\/c*c**(5\/7) assuming c is positive.\nAnswer: c**(145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(3\/(-6)*-1). Let t = -2 - m. Let q = 0 + -4. Put -0.3, q, t in ascending order.\nAnswer: q, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(2\/3)\/z*z*z*(z\/(((z\/z**4*z)\/z)\/z))\/z)\/(z**(-1))**(-7\/5)*(z\/((z*z\/z**(2\/7))\/z))**47\/(z**(-3\/7)*z**(1\/13)) assuming z is positive.\nAnswer: z**(25999\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x + 3. Let o(y) = 16*y + 10. Let k(i) = -3*o(i) + 10*p(i). Let z(b) be the third derivative of 9*b**5\/2 + 112*b**2. Determine z(k(m)).\nAnswer: 1080*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 167*q**2 - 7*q**3 + 167*q**2 in the form t*q**2 + w*q + l + a*q**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2431 = 5*m + 4*w, -4*w - 2479 = 2*m - 7*m. Does 485 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -139, -138, -137, -136?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 - 30. Suppose -o = 2*b + 4, -2*b + 5*o = -b - g. Which is smaller: b or 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6526, -6561, -6596?\n\"Answer: -35*r - 6491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -24694*a - 1307. What is the units digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 4*x**2 - 5*x + 2. Let c be r(-5). Let o(n) = -n**2 - 10*n + 2. Let w be o(-10). Is (1 - c)\/(w\/(-262)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227*i**2 - 4 + 7 - 27*i + 23*i + 4*i.\nAnswer: 227*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3549943?\nAnswer: 89, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*s - 320, 11 = 4*s - 9. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64833600 divided by -3.\nAnswer: -21611200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -21, 3, -5, -13 in decreasing order.\nAnswer: 3, 1, -5, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r = 9*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of 1\/6*s**6 - 49*s + 0 - s**5 + 0*s**3 + 5\/42*s**7 + 0*s**2 - 5\/3*s**4. Let y(k) = 0. Calculate k.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2470459 is divided by 14280?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10553?  (a) 1\/4  (b) 8  (c) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011100100 + -100001111?\nAnswer: 111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(3\/7)\/j*j\/(j*j\/j**(-3\/16)))\/(j**14\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(279\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -209 + 1756. Solve 476 - j = -119*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m - 2*m**2 - 2*m - 12*m + 14*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4258 + 1.6258. What is the third smallest value in -0.07, i, -0.4, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from kklivjilkkkkkikklkli.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 - 58. Let o = 1321\/11373 - -1\/669. Suppose 4*n = -w - 2*w - 4, -5*w = 5*n + 5. What is the nearest to n in -2, p, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, 3, 52, -5 in decreasing order.\nAnswer: 52, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, h: 3, t: 1, w: 5, r: 1, n: 1}. What is prob of picking 1 t and 2 h?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-163746)\/17367 + 876\/93?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*w + 11. What is s in 5*s**3 + 3*s**w + 100*s**2 + 15*s**3 - 2*s**4 = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 728074, 728233, 728392, 728551?\nAnswer: 728710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**3 - 3769594*p**2 - 1776227980806*p + 1776231750402 = 0. What is p?\nAnswer: -942399, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96326387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 3*g**2 + 5*g. Let s(h) = -7*h**2 - 11*h - 1. Let j(n) = -5*b(n) - 2*s(n). Let i be j(-3). Solve -2*m = -p - 3, 0 = -i*m + 3*m - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 117*l**4 + 233*l**2 + 84690*l.\nAnswer: 1404*l**2 + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + 17 = q + 89 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 7 = -4*i - 22, 23 = -3*q - i. Let z be (6\/q)\/((-3)\/(-9)). Let r = z - -8. What is the remainder when 17 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-3)*((-10)\/(-6))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*0.03492.\nAnswer: 0.06984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2221120100002 + 2002?\nAnswer: 2221120102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20168 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 2*d**3\/3 + 593*d**2\/2 + 1415*d + 1159. Find the first derivative of p(i) wrt i.\nAnswer: 4*i + 593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 98*r*x**3 + 3*r*x**2 - r*x - 3203*r wrt x?\nAnswer: 294*r*x**2 + 6*r*x - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 53 = -22. Let d be w\/3 - 4\/12. Solve 3*b + 0*b - 4*x + d = 0, -x + 17 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 18 = -4*i. Suppose 0 = 4*t + 3*m + 15, -3*m - 9 - i = 5*t. Let u(j) = -11*j + 14. Let s(k) = -5*k + k + 0 + 5. What is t*u(y) + 17*s(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -1286, 21, 182 in descending order.\nAnswer: 182, 21, 13, -1286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 2*q. Suppose h - 6*h = -10. Let g be v(h). Let y be (g\/3)\/(-1*2). Which is smaller: 1\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2287, -2399, -2585, -2845, -3179?\nAnswer: -3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {e: 16, q: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4639 + 757.4361. What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {l: 2, e: 1, i: 1, q: 6, f: 2, z: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -801*h. Let x(a) = 247*a**2 + a. What is x(w(m))?\nAnswer: 158475447*m**2 - 801*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4 + 8 = 0. Solve b*m - 1 + 5 = 0, -11 = 3*x + 2*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20871 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4690 - (4 + (2 - 2)). Let m(l) = 76112*l - 22 - x*l + 4. Let f be m(-7). Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.3732834943 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7632 is divided by 7336.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6377 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 6*r - 43. Let h(t) = 19*t - 118. What is -5*h(l) + 14*m(l)?\nAnswer: -11*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*t**2 + 0*t**2 + 0*t**2)*(-2 + 6 - 2) + 3*t**2 - 3*t**2 + 2*t**2)*(0*t - 4*t + 5*t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 2*p - 14, 5*p = -5*n - 5 + 20. Solve 0 = -n*c - 1 + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.11 + -1.59. Let o = 1.79 + k. Round o to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5369870 is divided by 81361?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x + 70 - 958 = 0. Calculate the highest common divisor of 185 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 317.9 - 318.8098. What is c rounded to two decimal places?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3)) + 3.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*p**3 - 54*p**2 + 9*p?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6922, 657, 0.\nAnswer: 0, 657, 6922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0  (b) -19  (c) 0.5  (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 27 = 4*y, -4*y + 12 + 4 - 53 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-13) + 201\/(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 18. Let o(v) = -v**3 - 4*v**2 - 3*v. Let h be o(-3). Solve -2*f - z*y - y + 26 = h, -3*y = -2*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/9 - 44*u**2\/9 - 38*u\/9 + 28\/3.\nAnswer: -2*(u - 1)*(u + 2)*(u + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 15 = 5*u, -5*u = -10*u - 2*p + 36. What is the third derivative of 9*d**6 + 11*d**u - 8*d**2 + 21*d**6 - 8*d**2 wrt d?\nAnswer: 4920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/8)*w*w)\/w)\/w**(-2)*w**(-3)*w*w**7*(w**(1\/2))**(-23)\/(w*w**0)**(-1\/14) assuming w is positive.\nAnswer: w**(-213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(288)\/sqrt(9) - sqrt(2)) + (sqrt(65)\/(sqrt(5)*1 + sqrt(5)) - (sqrt(325) + -1)))*-4.\nAnswer: -4 + 50*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -2\/1846083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20766687?\nAnswer: 3, 6922229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**5 - 35*x**4 + 222*x**3 + 2054*x**2 - 9823*x + 7581 = 0.\nAnswer: -7, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 61, 57, 53, 49, 45, 41?\n\"Answer: -4*d + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1662629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -0.1. Suppose 3*y + 35 = 3*d - 7*d, -d + 4*y = -15. Let p = -314 + 314.5. Which is the closest to j?  (a) d  (b) p  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -19  (b) -10  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 2\/(2 + -1). Suppose -12 = -4*j - n, -3*j - 3*n = 2*j - 15. Let x be 2\/j - 4\/6. Solve -u = w - x - f, 3*w - 5*u = -37 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/(-5) - 4*2\/8. What is the derivative of 330 - 195 - 9*m**w - 172 wrt m?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**3 - 7*k**2 + 42*k - 34. Calculate c(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*u - 51*u = 164*u + 1695 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 8*c - 10. Let o be l(7). Let m(b) = 7*b**3 + 5*b**2. Let h(n) = -20*n**3 - 14*n**2. Let d(v) = o*m(v) - 6*h(v). Find f, given that d(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2346)\/170*(-1350)\/405?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 172 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 10:33 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 12\/15*1\/(-2) + (-278508)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174*m = 153*m + 1092. Which is smaller: m or 53?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2590559 is divided by 1008.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q + 28. Let m be n(-26). Let i be (15\/m)\/(35\/(-28)). Which is the nearest to 1?  (a) i  (b) 3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**5 + 23690*s**4 - s**3 + 8575*s**2 wrt s.\nAnswer: 60*s**2 + 568560*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10867077*h**3 + 3*h**2 - 81*h + 6732 wrt h.\nAnswer: 65202462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5\/2 - 41*t**4\/2 + 77*t**3 - 113*t**2 + 149*t\/2 - 37\/2.\nAnswer: (t - 37)*(t - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115738 is divided by 16527?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 5:06 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -119\/3183 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -30. Suppose -k*u + 23*u - 4 = 0. Let g be 90\/u*(-8)\/12. What is the greatest common divisor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 50271*z - 201082. Let q be k(4). Solve 2\/9*r**q + 134\/9 + 136\/9*r = 0 for r.\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2434?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 139774 + 5946*i + 2*i**3 + 1253*i - 46462 + 577*i + 216*i**2.\nAnswer: 2*(i + 36)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36.92 - -37. Which is smaller: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 5*y + 9, -4*y = -2269 + 2257 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21\/10 - -19\/15. Which is the smallest value?  (a) 5  (b) t  (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5830650284 to the nearest 100000.\nAnswer: 5830700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84389*g + 83106*g - 1283 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -156 by 4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 3, 0.10119, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1487169.528999538 + -1487149.229. Let l = 20.3 - d. What is l rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 134*o - 9 - 137*o + 11 + 4*o**2 to h*o**2 + c + b*o and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30 or 3238\/105?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2076 - -2526. Is p >= 450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 3:08 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8879874 by 6.\nAnswer: -1479979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 2*i + 740 = -2*z, 4*z + 2*i - 574 = 0. Suppose 0 = -2*x + 216 - z. Is 7 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5073?\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -15. Let f = -3 - n. Let l = f + 0.9. What is the second biggest value in 2\/15, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*m*r*s**2 + m*r*s + m*r + 360*m*s**2 + m*s - 46*r*s**2 - r*s - 193059*r - s**2 - s wrt s?\nAnswer: 30*m*r + 720*m - 92*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -22, 0.4, -0.5, -18, 0.3, 1\/4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*n - 185*n - 4538 - 4834 = -99*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/3*-1)\/(6\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -271*d + 134*d + 148*d. Let s(i) = 22*i. Calculate s(h(a)).\nAnswer: 242*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**2 - 2*g**2 + 4*g**2 + 4*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -5*z. Let i(v) be the first derivative of -v**3\/3 + 3. Determine q(i(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 60261747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 276347\/4 != -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 127*h**3 - 32*h**2 - 24*h**3 - 45*h**2 + 362*h**3 + 60*h**2 to m*h**3 + c*h + t + y*h**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 4*s - 4433, 4*c - 8*c + 5889 = s. What are the prime factors of c?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134830, 269826, 404824, 539824, 674826, 809830?\nAnswer: 944836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 46 + (-13 - 29) + -76 + 1\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 28*l - 9. Let v(f) = -9*f + 3. Calculate -3*q(d) - 8*v(d).\nAnswer: -12*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15?  (a) -3\/8  (b) 0.04  (c) -4\/5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254 is divided by 138.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 1, -12, 4, -2 in increasing order.\nAnswer: -12, -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16035*g**2 - 12578*g**2 + 8669*g**2 - 8868*g**2.\nAnswer: -28812*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 20. Solve -2*w - 4 = l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3040?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g - 1. Let v(m) = 3*m - 306. Let n(t) = -t + 51. Let h(o) = -6*n(o) - v(o). Give -2*c(f) + 3*h(f).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*s**5 + 3738*s**4 - 96378*s**3 - 553092*s**2 + 278067*s + 731010 = 0.\nAnswer: -5, -1, 14\/11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 12*x**2 + 29*x + 10. Let o be v(-9). Put o, 4, -3 in descending order.\nAnswer: 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 338 - -1226. Suppose -2*x - p = -4*q, -2*x - 2*x = -3*q + 1173. List the prime factors of q.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*x**2 + 4*x**2 - 3*x - 8*x**2)*(x**3 - 4*x**3 + x**3).\nAnswer: 46*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 9:11 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -450990258397 - 0.11.\nAnswer: -450990258397.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r**2. Let a(z) = 2*z**2 + 1027*z - 33. What is a(v(m))?\nAnswer: 32*m**4 - 4108*m**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4041*c + 14061*c = -4604*c + 3703*c + 2280360 for c.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -610*m**2 - 72*m**2 + 21 - 21.\nAnswer: -682*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -10*g**3 + 2*g**2 + 3*g - 11. Let y(q) = -9*q**3 + 2*q**2 + 5*q - 15. Let l(r) = -4*w(r) + 3*y(r). Give l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + ((-22)\/12 - -2). Let s = 332 + -330. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11160 and 0.01077.\nAnswer: 120.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1266 - 1259. Let o(d) = d**2 - 4*d - 7. Let h be o(6). Suppose -h = -n - 1. Calculate the remainder when p is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {u: 1, h: 5, v: 2, t: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21867890, 21867887, 21867882, 21867875, 21867866, 21867855?\nAnswer: 21867842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of d**6\/120 + 2*d**4\/3 + 2*d**2. Let a(p) = 26*p - 47*p - 42*p + 87*p - p**3 - 35*p. Give -7*a(i) - 5*g(i).\nAnswer: 2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2416, 4847, 7308, 9811, 12368, 14991, 17692?\n\"Answer: 2*j**3 + 3*j**2 + 2408*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnhhnfhnhhnnnnnnhh?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6236\/7 + -6234\/7. Suppose 6\/7*l**2 + j*l**3 + 4\/7 - 2\/7*l**4 - 10\/7*l = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171 + 87. Let y be (393\/u - -2) + 0. Let z = y + 9\/4. Is -1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -7*h**3 + 6*h**2 + 13*h + 6. Let w(b) = -23*b**3 + 17*b**2 + 38*b + 17. Give 17*a(x) - 6*w(x).\nAnswer: 19*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 12*q - 1. Let f(b) = 38*b + 10. Let p be f(0). What is a(p)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 952524187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -3*a + 27, 137 - 153 = -s - 4*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1147)\/(-210) + (-106)\/(-210) + (-21)\/35 and -121\/2016.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence afaf when four letters picked without replacement from {f: 19, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.17 + 2.2. Let h = 16.727 + -16.8. Let o = z + h. What is o rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -371.8 + 383. Let x = 14.2 - t. Let g be (-1 + 2)\/(1\/(-3)). What is the second smallest value in g, -5, x, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09*-0.141.\nAnswer: 0.01269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/(-78))\/(112\/(-576)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - -0.016.\nAnswer: -45.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25413553 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7308890 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -54915+18638.092\nAnswer: -36276.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2042 by -50.\nAnswer: 1021\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4626756 = -31*j + 678105 + 15979. Round j to the nearest one thousand.\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -8*r - 239. Let b(w) = 11*w - 57. Let i(u) = -15*u + 76. Let q(v) = -4*b(v) - 3*i(v). Give k(q(n)).\nAnswer: -8*n - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand l + 0*l + 5*l + (4 + 1 + 4)*(-1 + 1 - l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 485895960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -512*o**2. Let k(j) = -19*j. Calculate s(k(u)).\nAnswer: -184832*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 9:49 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8227243 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.07 - 0.07. Let r = -0.2 + d. What is the second smallest value in -1, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**3\/10 + k**2\/5 + 39*k\/10 + 36\/5 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 9 - p**2 + p**2 - 9*p. Let u(f) = -2*f**2 - f + 2. Let x be u(2). Let b be v(x). Which is smaller: b or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/3)\/((-1)\/2). Let n = 8 + c. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 9) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/12)\/(45\/(-90)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/(-18) - 0 - (-24)\/108. What is the closest to -0.1 in -2\/13, 1, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/11  (b) 0.3  (c) -15\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*w + 10, 0*g = 2*g - 4. Calculate the smallest common multiple of -1*(-1 - w) + 3 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -16*w + 5. Let x(q) = -q - 1. Let f(p) = -g(p) - 5*x(p). Let o(v) = -115*v - 52*v + 283*v - 114*v. Calculate o(f(t)).\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 218 - 200. Let y(i) = 9*i**4 - 168*i**3 + 261*i**2 - 36*i. Let h(x) = x**4 + x**2 - x. Let q(k) = a*h(k) + y(k). Factor q(b).\nAnswer: 3*b*(b - 3)**2*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124948 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of -3*z**4\/8 + 2*z**3 + 805*z**2. Let p(u) = 5*u - 6. Determine 4*k(w) + 7*p(w).\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is -84.8703291 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 30290 = -h + 30284, -18 = 5*m + 3*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 162090, 162091, 162094, 162099, 162106?\nAnswer: 162115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 9) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uxuu when four letters picked without replacement from xxoouxoxuooxouxoxo?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 159, 1, -0.2, -1\/6, 258, -4.\nAnswer: -4, -0.2, -1\/6, 1, 159, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81533?\nAnswer: 81533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 48*d + 469. Give p(23).\nAnswer: -1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - d - 1 - d**2 - 4*d**3 - 5 + 4 to s*d**2 + v*d + h*d**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*d - 1023 + 264 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*m + 531 + 12199, r = -5*m + 6341. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -13*b - 1. Let v be (3 - 1 - 0) + -1. Suppose c + m = -2*m + 2, 0 = 2*c + m + v. Is s(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16684 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 3*f**2 - 3. What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h. Let k(l) = -35*l - 3*l - 414 + 416. Calculate b(k(z)).\nAnswer: -76*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16603956*w*x**2 - 12286790*x**2 - 2*x wrt w.\nAnswer: 16603956*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmvpvfrvvvfvvv. Give prob of sequence mp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -687*b - t = -684*b - 8, 6*t = 2*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 3. Suppose 0 = i - b - b, 4*b - c = i. Suppose -z + 4*z - 192 = 5*w, -5*z + i*w = -301. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + c + 5 = 0. Let x(d) be the third derivative of 0*d**4 + 0*d**3 + d**2 + 0*d**c + 0*d - 1\/120*d**6 + 0. Factor x(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 417 - 417 + 3*z - 6*z**2. Calculate u(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -74474 (base 9) to base 2\nAnswer: -1100000001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 162607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -453  (b) 25349  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -131 - -134. What is the closest to 4 in -3\/5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7 + (4\/(-1))\/2. Let a be -1*j*(-2)\/5. Suppose -4*x = -5*w + w + 4, -2*w + 2 = -5*x. Solve x = 3*y + 5*b - 22, -y = 4*y - a*b - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/4)\/(4\/(-116)). Let i = 3 - d. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 233. Let d(v) = v. Give d(f(n)).\nAnswer: -n**2 - 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.8 - -3. Let q = 0.38 - 0.07. Let s = q - 0.01. Is s bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 5*x = 4. List the prime factors of (30\/(-12) + -4)\/(x\/8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-5))\/((-3)\/5). What is the second smallest value in f, 3\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7414 by 216.\nAnswer: -3707\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**3*w*w**(3\/8)*w**17*w\/(w*w**(-1\/49)) assuming w is positive.\nAnswer: w**(6427\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*x - 5. Suppose 0 = -2*p - 4*z + 10, 6 = -5*p + 2*z - 17. Let l = p + 0. Sort x, 1, l.\nAnswer: l, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of 0*v**2 - 15 + 0*v + v**4 + 13\/3*v**3. Find the third derivative of s(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jgzjngfjzg. Give prob of sequence gz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + sqrt(242) + (sqrt(242) + sqrt(242) + 1)*-6 + (sqrt(48)\/sqrt(2))\/sqrt(12)*-3)*3*6.\nAnswer: -2034*sqrt(2) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 5*s = 1, -5*o + 2*o + 5*s = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 569.7912 kilometers in centimeters?\nAnswer: 56979120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggoo when four letters picked without replacement from {o: 2, g: 4, x: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 619024.\nAnswer: 2, 7, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(1573) + -1 + sqrt(1573))*-1 + 3)*-2 + 2) + 0.\nAnswer: -176*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 589847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 minus 22.1?\nAnswer: -115.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 10 = w, 4*f - 56 = -4*w. Let b = f + -19. Suppose b = -5*t + 9*t - 24. Calculate the lowest common multiple of t and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 5456704.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(13) + (sqrt(637))**2 + 4).\nAnswer: 2*sqrt(13) + 1282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13404531 - -1311?\nAnswer: 13410242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31427483911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3\/245996 - 434641\/4702705532. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47101992583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 - 226584*h - 453152.\nAnswer: -4*(h + 2)*(h + 56644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -5, -17, -24, -1640 in decreasing order.\nAnswer: -1, -4, -5, -17, -24, -1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/311?  (a) -5  (b) -1  (c) 2\/15  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6 + (-364)\/(-63) + 620\/6435. Do -1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 47 = -11. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 904\/(-565) + (-3)\/(-15). Which is the nearest to f?  (a) -2\/7  (b) -0.13  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 460 = -2834*z + 2857*z. Solve 25*u = z*u - 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-80))\/((-1)\/4*-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44151521 to the power of 1\/2, to the nearest integer?\nAnswer: 6645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -84 + 124. Let p = -40.0057 + k. Round p to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20176 - -32576. What is m rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59784215239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from ooooowoowooowoo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 190995769 take away 150?\nAnswer: 190995619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -152, -3 in descending order.\nAnswer: 5, -3, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 3360.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 5*o + 15, 90*o = 91*o - a - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50312 is divided by 416.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 337 = -102. Calculate the remainder when 15 + ((-774)\/(-1806))\/((-1)\/(-350)) is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29460 - 29460 + 41790*d to i + f*d and give f.\nAnswer: 41790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -80, 2\/45 in decreasing order.\nAnswer: 2\/45, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 7*w**3 + 12. Let a(x) = 3*x**2. Calculate a(r(j)).\nAnswer: 1323*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 29, -1, 6, 105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 9*q + 18. Suppose 35*u - 34*u = -4. Determine b(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 7*b - 308. Calculate x(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 158 + -473\/3. Determine w, given that -b*w**2 + 1\/3*w - 1\/3*w**3 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -725*x**3 - 4*x**2 - 12*x + 8. Let u(c) = 161676*c**3 + 891*c**2 + 2673*c - 1782. Give -891*g(k) - 4*u(k).\nAnswer: -729*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t\/t**(-8\/5)*t*t**9*t assuming t is positive.\nAnswer: t**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.71714783 to 4 decimal places.\nAnswer: 4.7171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttp when three letters picked without replacement from tkkphpthhkpkhqpppa.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78175 is divided by 416?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - 0) + (-2 - (1 + -4)) - (-4 - -32).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 10*g + 38. Let u be h(-5). Let d be (-1)\/2 - (-53)\/2. What is the highest common divisor of d and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -219, -418, -597, -756, -895, -1014, -1113?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12188\/7 not equal to 1741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2)*(79 + 59 - 120)*(-2*z + 6*z - 2*z).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, d: 2}. Give prob of picking 1 b and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*g - r = -859, -r = -4*g + 680. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q - 3*q - 2*q + 11*q + q**2 + 3*q.\nAnswer: q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3632 and 23328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*56125.\nAnswer: -112250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**4*h*h**(-2\/15)*h*h*h\/(h*h\/(h*(h*h**2*h)\/h*h))*h\/(h**(1\/6)*h*h))\/((h*h\/(h\/(h*h\/(h\/(h\/h**(-1\/3))))))\/h**(-5\/4)*h**6\/h**6) assuming h is positive.\nAnswer: h**(307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -307*i - 425*i + 725*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 72.14719 years?\nAnswer: 0.7214719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 7*v - 1. Is o(6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 86 in -3, -4, -2\/25, 0.4, 0.064?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**3 + 59379*k**2 + 4613073*k - 4672455 = 0. Calculate k.\nAnswer: -19715, -79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7141682 or -28566729\/4?\nAnswer: -28566729\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3275654, 3275740, 3275828, 3275918, 3276010, 3276104, 3276200?\nAnswer: 3276298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((192594\/14536)\/(6\/48))\/4. Let w = 2\/1817 + b. What is the common denominator of 81\/10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-62) - (36 + 103320\/(-1395)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -440 - -441. Let c be (2\/(-8) - (-104)\/32)\/p. Solve 5*b - 4*m = -c, -5*m = -8 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*g + 4. Let p(q) = q**2 + 2*q. Let o be p(g). Factor 3*d + o*d**2 - 8*d + 2*d.\nAnswer: 3*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685736 to the power of 1\/2, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -3 + -39 + 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31572*i**3*t**3 + 6033*i**3 + 57*i**2*t**3 - 2*i**2*t**2 - 2*i**2 + i*t**3 - 13*i*t + 1107*t**3 wrt i.\nAnswer: 189432*t**3 + 36198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30745*d - 30760*d - 30751*d + 123012*d - 30749*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**3 - 39*k**2 - 6*k + 2. Let x be v(10). Suppose -320 = -8*i + 800. Calculate the highest common divisor of i and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 13, n: 2, w: 3}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -2*u**5\/11 - 756*u**4\/11 + 381704*u**3\/11 - 36033556*u**2\/11 + 382775034*u\/11 - 31556584 = 0.\nAnswer: -692, 1, 11, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2 - 54*l - 369. What is the least common multiple of 7 and j(42)?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 5*i + 3. Let u(y) = y**2 + 6*y + 4. Let a be u(-4). Let o be 5\/a - (-1)\/(-4). Is i > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 174 = 108. Calculate the lowest common multiple of 30 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/791 or -1416?\nAnswer: -1416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 5691740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -57 - -85. Let v(q) = 3*q - 4*q + l - q - 25. Let y(f) = f. Let d be 2\/(24\/(-10) + 4\/10). What is d*v(s) - 3*y(s)?\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*m - 12. Solve 5 = m*y + 4*q, -3*y + 3*q - 12 - 18 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + f - 2*f = -5, 0 = -4*n + 4*f - 12. Let g = -12949\/38874 + -3\/12958. Let x = -691\/932 - 2\/233. Sort x, g, -1\/9, n in ascending order.\nAnswer: n, x, g, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 4*u**2 - 2*u + 2. Let y be s(-3). Let k(j) be the first derivative of -3*j**4\/4 + j**2\/2 + j - 4. Let t be k(y). Which is greater: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 15\/3 + 5. Let j(p) = -o + 0*p - 2 + 2 - 7*p. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + 27 + -45 + -19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00212623 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*g - 71874 - 746580 = 0. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/1*((-3)\/(-1))\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -98663666?\nAnswer: 1\/98663666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14037771*a*c*z**2 + 7*a*c*z + 199409193*c*z**2 wrt a?\nAnswer: 14037771*c*z**2 + 7*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2480 by 155.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -4*q + 3*p, 159*q + p = 152*q + 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -682 = 77*x + 41*x + 380 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/60)\/((-308)\/(-140))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -170*m**7\/7 - 33*m**3 + 31. Find the third derivative of q(l) wrt l.\nAnswer: -20400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(396) + 1 + sqrt(396))**2.\nAnswer: 120*sqrt(11) + 7925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -6625478586950?\nAnswer: 6625478586949.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-3*19\/(-342)*1)\/(7\/(-1050))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2633398, -2633399, -2633400, -2633401, -2633402, -2633403?\nAnswer: -2633404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-20))\/(99\/132)*10 - -8.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 7) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 1383, 0.5?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 2, -370\/9, 6\/7 in descending order.\nAnswer: 28, 2, 6\/7, -370\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 264 + -264. Which is the closest to j?  (a) -0.7  (b) -1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (6 - (9 - (3 + 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*i - 72 = -164 - 298 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/((k**0*k)\/k*k*k)*k))\/k**1)\/(k**(-6)\/k*k\/k**4) assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**10\/(d\/(d*(d**(-3\/8)*d*d)\/d)))\/(d*d\/d**(7\/4)*d**(-4\/11)) assuming d is positive.\nAnswer: d**(945\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 10:17 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 2504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 10, -0.05, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1d29 + -c3?\nAnswer: -1dec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 158072*h**2 - 394983*h wrt h?\nAnswer: 316144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*n - 551 + 551 = 0. Which is the fifth smallest value?  (a) -1\/4  (b) -0.02  (c) n  (d) -0.5  (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/9, 0.1, 0.7, -2\/13, -0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*i = 8 - 1, -2*g = 5*i - 30. Suppose 2*h - 3*h + 48 = -2*n, 2*h + 120 = -g*n. Is (-27)\/(-2)*(-16)\/n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n - 2*o = 8*n + 11, -3*n + 25 = 5*o. Suppose 3*a + 5*f - 55167 = a, -n*a + 137902 = -3*f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -33*l - 699. What is w(-19)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38 and 7619?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45427?\nAnswer: 45427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 21229.37 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31642.\nAnswer: 2, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2. Let v(c) = 163*c**2 - 4*c - 2. Let o(a) = -327*a**2 + 10*a + 6. Let m(x) = -2*o(x) - 5*v(x). Calculate u(m(r)).\nAnswer: 25921*r**4 + 644*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2519018 divided by -2519018\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 282450.91 to the nearest one thousand.\nAnswer: 282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b**(-1\/14)*b*b)\/b)**43*b**(-1\/3)*b**(-6) assuming b is positive.\nAnswer: b**(3217\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 2 - 8\/2)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/4 and 5\/920*-1*(-1 + -1).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (75 + -150 - -83) + -99\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10128621 and 10984.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8584)\/(-87) - (-5)\/15. Solve 95*i - m*i + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12341 divided by 44?\nAnswer: -12341\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 12:59 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 2*x**2 - 10*x. What is w(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w**5 - 5544*w**4 + 2190*w**3 + 14392*w**2 + 6648*w = 0. What is w?\nAnswer: -1, -3\/5, 0, 2, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -4*g**5 + 180*g**3 - 4200 + 188*g**2 - 17*g + 81*g + 52*g**4 + 4200 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -3*k. Factor 5 + r**4 - 5 + r**3 + k.\nAnswer: r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -734, -1509, -2284, -3059, -3834?\nAnswer: -4609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 10 = 2*u, -5*u - 2*b - b - 6 = 0. Suppose u = -3*q + 64037 - 10037. Round q to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*j + 19 - 18 + 10*j + 2*j.\nAnswer: 30*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1678522 litres to millilitres.\nAnswer: 167.8522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*l - 346*l + 21070 = 66871 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 3 = -49*y - 43 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 961396.\nAnswer: -5\/961396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 309\/2 - 154. Suppose 24 = -10*z + 64. Which is the closest to 2\/5?  (a) z  (b) x  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4042 - -0.0958. Suppose -24 = -0*o - 4*o - 2*i, o - i - 3 = 0. Suppose 2*w - 2*t = 6*w - 4, -2*t = -o*w + 23. What is the smallest value in 1, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415633938 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((117\/18)\/(-13))\/((-7)\/(-112)*8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18935, -37824, -56707, -75584, -94455, -113320?\nAnswer: -132179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 126812*x + 126810*x - 16.\nAnswer: -2*x - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5355.9767 rounded to the nearest ten?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, 0, 20, -14 in decreasing order.\nAnswer: 20, 5, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 13.91.\nAnswer: 55.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-18) - (-4760)\/3060)\/(1\/(-12))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00033044 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -13, -28, -49, -76, -109?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(108)\/(sqrt(8)\/sqrt(2)*-1))\/(5*(sqrt(900) - sqrt(900)*1*-6)) + -1.\nAnswer: -1 + 3*sqrt(3)\/350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 42 + 53. Suppose 12 = -i*w + 20*w. Suppose -w = -t + 15. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 23. Let k be i(21). Let y be (0 - k) + (-4)\/(-8)*38. Solve -4*d + 20 = -5*t - y, 4*t + 16 = -d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 408*c. Let q(x) = -9*x**2 - 26*x**2 + 33*x**2. Give o(q(m)).\nAnswer: -816*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5996 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide -4*((-10258)\/8 - 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-5\/2)\/u*u*u*((u**(-7)*u)\/u)\/u)**(3\/5))**(1\/10) assuming u is positive.\nAnswer: u**(-51\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3*p = 0, 13 = 4*k + 3*p - 8. Does 7 divide 138\/(-9)*k\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 433*n**3\/4 - 864*n**2 + 2085*n\/4 + 10925\/2.\nAnswer: (n - 5)**2*(433*n + 874)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2. Let v = -1 + 11. Let o(k) = v*k + 12*k + 3*k + 5*k. Give f(o(z)).\nAnswer: 1800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-3\/4)*x**(9\/5))**10)**49 assuming x is positive.\nAnswer: x**(3479\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 55212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3579 is divided by 2421?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 8*a**2. Let v(y) = -40666*y**2 - 6*y - 1. Determine v(i(h)).\nAnswer: -2602624*h**4 - 48*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 7*v = 40. Let a be v*2\/(-4)*1. Let o(r) = r**3 - 4*r**2 + r + 4. Let n be o(a). Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.23 + 0.14. Let u = x - -0.09. Which is the second biggest value?  (a) -2\/3  (b) -2\/7  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92880386 is divided by 4126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -k + 4, z + 7*k - 4*k - 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 32*h + 171. Give l(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*w**2 + 340*w - 140.\nAnswer: 5*(w + 14)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2105?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*z - 3*b, -z + 2*z - 22 = -4*b. Let x(a) = -9 + 3*a**z + 9. Let q(r) = -4 + 5 - 9*r**2 - 1. Calculate q(x(l)).\nAnswer: -81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 11*h**2 - 53*h - 480. Let z be k(-12). Solve 33*i + 405 = -z*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {c: 1, e: 1, h: 2, x: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-418)\/(-114))\/((-2)\/(-36)). What is the first derivative of -162*t**3 + 62*t**3 + 50*t**3 + 178 + z*t**3 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - ((6 - -5) + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sabaoqsusquosuu. What is prob of sequence uq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 153887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 859 + -832. What is the greatest common factor of 243 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -6*j**5 - 15*j**4 + 18*j**3 + 24*j**2 - 12*j - 9 = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/8 and 48\/373?\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7329 or 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68, 173, 378, 731, 1280, 2073?\nAnswer: 3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5172\/(-5172)*(47 + 0)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, 0, 4 in ascending order.\nAnswer: -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l + 1155 - 1235 = 0. Which is the biggest value?  (a) 1\/112  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-8)*(-16)\/(-18). Let y = -20 + 23. Let k be 1 - (-4)\/18*-3. Which is the nearest to 0.1?  (a) i  (b) y  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 0, 9288, -6\/7?\nAnswer: 9288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -17475*q**2 - 9938*q**2 + 4118*q**2 + 5756*q**2 - 8980*q**2 as j + w*q + o*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/5 - 17*v**2\/5 - 316*v\/5 - 928\/5.\nAnswer: (v - 29)*(v + 4)*(v + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 7*k**2 + 8*k. Let i(t) = 2*t - 47215. What is i(l(s))?\nAnswer: 14*s**2 + 16*s - 47215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25.5 + 0.11952.\nAnswer: 25.61952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 60876071, 60876073, 60876075, 60876077, 60876079, 60876081?\n\"Answer: 2*r + 60876069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.4, 3\/8, 1\/5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*q - 8*p + 57, 4*q = -p + 79. Let r be q\/11 + (-2)\/(-11). Differentiate -2 - 2 + z**r + 3 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2517212.91*-0.4.\nAnswer: 1006885.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k\/k**(-1\/15)))\/k**(-7\/6) assuming k is positive.\nAnswer: k**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16571 bigger than 16571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 1. Let h be j*(-1)\/(-14)*-2. Let p = -0.216 + 0.016. Which is the nearest to p?  (a) 4  (b) h  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2339\/23390)\/(64\/(-30) + 0). Which is smaller: -112 or n?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 3*f**2 - 43*f + 8. Let s be y(-14). What is the highest common divisor of 54 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -178.7005 to the nearest integer.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4990 - 5092. Which is greater: -0.18 or a?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10.2 - 10.094. Let o = c + -0.306. Is -3.6 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -765120 divided by 3985\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f + 6177 - 6367 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjjjp. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.79982 months in centuries?\nAnswer: 0.04649985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140\/9 + -134\/9. What is the closest to -1\/4 in -1\/4, q, -0.34?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j + 19 - 21 - 20. Let u be b(12). Solve 10 = 4*a - w, -3*a = u*a + 5*w - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*d = 39*d - 12. Let x = 4.7 - -0.3. What is the third smallest value in d, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 4*l**2 + 4. Let g be n(-4). Suppose -19 - 37 = -g*m. Let a(o) = 5*o**2 - 22*o - 8. Calculate the remainder when a(6) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - (-69 + 33 + 71))*110.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2321 divided by -11?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*v**3 + 5*v**3 + 3*v**4 + (v + v - v)*(190*v + 2*v**3 - 190*v - 16).\nAnswer: 5*v**4 - 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -142 - 716a2?\nAnswer: -71834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**3 + 2*w**2 + 2*w + 2. Let k(g) = -16*g**3 - 13*g**2 - 12*g + 4. Calculate k(j) + 6*n(j).\nAnswer: -4*j**3 - j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 419379 or -17.28?\nAnswer: 419379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/2  (b) 29  (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, g: 1, s: 2}. Give prob of sequence vgss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u**5 - 3394*u**4 + 3*u**3 - 20*u + 346 wrt u.\nAnswer: 20*u**3 - 40728*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27.704193 * -0.4.\nAnswer: -11.0816772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-315)\/30*(448\/(-3) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 112.799996355 + -112.8. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -540 - -543. Solve 9 = -5*x + 3*s, 0 = u*x + s - 0*s - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/32 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3*h + h + 270, 3*f + 2*h + 178 = 0. Let m = -65 - f. Calculate the remainder when (-3334)\/(-16) + m\/24 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.162 * -18221.\nAnswer: 21172.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p**2 - 2*p + 1. Let c be w(1). Is 4*(-2)\/c + 67 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 5, 1\/6, 4, -5, 1.09?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-1\/29)*w)\/w**18*w**(1\/23)*(w\/(w**(-26)\/w*w))\/w)**(-22\/5) assuming w is positive.\nAnswer: w**(-146872\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.12281 + -0.37719. Let o(n) = n**3 - 6*n**2 + 3*n + 2. Let g be o(5). Sort 4, k, g.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, h: 2}. Give prob of picking 1 h and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 0.051, 7\/2, -2.1, -1\/3?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2826187 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -37270000 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1105 + 1105 - 38*n in the form l + z*n and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**2 - 55*y - 211. Let q be f(-4). Which is smaller: 48 or q?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (724\/(-3258) + (-106)\/(-72))*6\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -2*t**6\/5 + 7*t**5\/9 - t**4\/3 + 9*t**2 - 48*t. Let o(r) be the first derivative of n(r). Factor o(y).\nAnswer: -4*y*(4*y - 3)*(9*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 66 + 12 = 0. Let l be (5 - t\/10)\/2. Factor l*h + 4\/5 + 2\/5*h**2.\nAnswer: 2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**3 + 11*r**2 - 11*r. Let q(h) = h**3 - 6*h**2 + 6*h. Calculate -6*l(z) - 11*q(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 45\/12 + 24\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/22*(-2453)\/(-223)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l + 9. Let q be d(2). Let a = 1379 + -397. Is (15\/(-6) + q)*a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.71 + -10405.8090536\nAnswer: -10405.0990536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1645 and 19369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96.73 - 2.27. Let i = j + 94. What is the biggest value in i, 3, -1, -2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -189?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = p, -p - 37 = 5*q - 163. Calculate the remainder when 44 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 13*l**2 + l - 2. Let u be q(-13). Let b = 15 + u. What is the third derivative of -3*h**3 - 7*h**3 + 12*h**2 + 6*h**2 + b*h**3 wrt h?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 134 + -133 + (0 - 1) + 5 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that y**4\/6 - 265*y**3\/2 + 158921*y**2\/6 - 3094515*y\/2 - 3201525 = 0.\nAnswer: -2, 135, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-2 + 0 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 59*u**2 + 99*u + 834. What is the units digit of y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7811*y = 7699*y + 1441 - 97 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, -5, 11046 in ascending order.\nAnswer: -5, 33, 11046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -352, -1\/4, 0.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 980 divided by -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00152969 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 90419354 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: Let k be (-2)\/11 - (-20)\/110. Suppose -q + 4*j - 5829 = -2*q, k = 4*j - 12. Let d = 8396 - q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b6 - 2?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/8 in -1\/3, 5, -4, -3, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 1958.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of 0*a + 1\/12*a**3 + 1\/160*a**6 - 1\/840*a**7 + 0 - 1\/240*a**5 + 5*a**2 - 1\/32*a**4. Factor f(i).\nAnswer: -(i - 2)*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**2*p**2 + o*p**2 - 10*o*p - 282*p**2 with respect to o.\nAnswer: 6*o*p**2 + p**2 - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21540 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (9 - (-20 - (0 + 5 + -9)) - 15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1 - 1 - (-1593)\/27 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1119 - 34694\/31. What is the common denominator of u and 23\/11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 31027.71 from 1212.\nAnswer: -29815.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42692.97m to micrometers.\nAnswer: 42692970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 576285778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -5*w - 171. Let k be p(-33). Let g(j) = j**2 - j. Let m(n) = -5*n**2 + 4*n. Determine k*g(s) - m(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + n)*(-3*n + 4*n + 11*n) + 9*n**2 + 19*n**2 - 4*n**2.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kng when three letters picked without replacement from koknmkgk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -20*o + 150. Give d(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1095 at least as big as -1097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -1, -4 in descending order.\nAnswer: -1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 1673\/351927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -131021?\nAnswer: -131011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -0.015208 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 136 + (-1 - -1). Suppose -2*k + 0*k = -5*x + c, 3*x - k = 80. Suppose -x*h + 23*h = -160. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2602216 and 9296?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -910*-0.5\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.02 + 2.02. Let k = -937 - -932. Which is the biggest value?  (a) k  (b) v  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/4)\/(2\/4). Suppose -n*m = 2*m. Suppose 2*y + 3*y - 155 = m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 46 - -162310?\nAnswer: 162356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5.617+799131.8494\nAnswer: 799137.4664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/5)\/(o\/(o*o**(2\/19)))*o**3*o**(-1\/2)*(o**0\/o*o\/o**(-13))**(-34) assuming o is positive.\nAnswer: o**(-83447\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 61 and 334210.\nAnswer: 20386810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/13, 4, -0.5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.041 - -158.041. Let d = -181 + q. Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -294548892 divided by 66\nAnswer: -4462862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -31*l**3*r + 34*l*r**2 - 3*l - 28*r**2 - 88 wrt l?\nAnswer: -93*l**2*r + 34*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by 63\nAnswer: -44\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.1269598 - -2.125. Round f to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 27660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -905 + 909. Which is the closest to 2?  (a) -0.3  (b) -1\/2  (c) -43  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61 - 1564*v - 109 + 1585*v to p + g*v and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 9 - 10 = -5*k, -5*j + 2*k + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3122 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 + 13. Let u = 32 + m. What is the remainder when u is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eelllelellelelleeell. What is prob of sequence lell?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1067428 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6184620\/12 + 8 + -8 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3373, 6655, 9937, 13219?\n\"Answer: 3282*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2690.709ml in litres?\nAnswer: 2.690709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -63 + 55 + (5 + 1 + -7 - (2 - -43))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 5*a = 6*a. Let v(c) be the first derivative of -2\/3*c**3 + 3 + 0*c**2 + a*c. Let s(y) = 6*y. Calculate v(s(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101011 + -121?\nAnswer: -101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.81 + 2.19. What is the closest to o in 1\/2, -0.2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 454.32805*1.\nAnswer: 454.32805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbbbbrbbbbrrb. What is prob of sequence bbbr?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4197 - 592*j**3 - 4197 + (3 - 3 - 2*j)*(3*j**2 + j**2 - 6*j**2))*(0 + 5 + 2).\nAnswer: -4116*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 19*a**2 + 80 - 17*a**2 + 16*a + 64*a. Let o be x(-39). Solve -y = -o*n - n - 8, -n - 5 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -79 - -78. Let o = 245\/6 + -40. Which is the nearest to -1?  (a) v  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 3)\/((-3)\/(-12)). Let m be 16 - (28\/7)\/(k\/1). What is the greatest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 3*c**2 - 4*c + 3. Let p be v(-4). Solve -p*g + 1 = -f, -7*g = -2*g - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 98 = -0*o. Suppose -3*j + 158 = -o. Let f = j - 45. What is the greatest common divisor of 72 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = k. Suppose -8*a + 6*a = k. Suppose 7*x - 54 - 177 = a. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2367 and 47046492.\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g - 34. Let o = -58 - -56. Let m(s) = 5*s + 67. Let n(u) = o*m(u) - 5*q(u). Is 25 a factor of n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - f + 5. Let n be q(0). Solve -32 = -n*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -25a + -103c?\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*a - 82*a - 3404 = 1563 + 73 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -160155211 - 5?\nAnswer: -160155216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*h - 10 = -0*h, -4*h = a - 8. Suppose a*n = 2*p + n - 6, 5*p - 3*n - 15 = 0. Find the second derivative of -i + 0 + 15*i**p + 0 + 17*i wrt i.\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*h**3 - 8*h**3 + 11*h**3 + h**3 + 0*h**3 + 0*h**3 + (h + h**2 - h)*(2*h + 1 - 1) + (4*h + 0*h - 5*h)*(h + h**2 - h) + 390*h - 390*h - 22*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 8. Let q be h(-5). Suppose 8*u - 65 = q*u. Calculate the greatest common factor of 143 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 2*g - 4 = 0, -7*g + 10*g - 6 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 176863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/58 + -140 + 573204\/3219?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 94776407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 15, -4*j + 13 = -4*t + 33. Let m = -4 + t. What is the third derivative of 2*f**2 + 0*f**2 - 3*f**2 + 2*f**m wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13  (b) -9  (c) -2  (d) -13\/8  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (388\/(-485))\/(6\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.08 + 0.07. Let b = 0.05 - i. Let r = -3 - -1. What is the closest to 0 in b, r, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 1300*a - 5. Let h(g) = 6502*g - 26. Give 3*h(b) - 14*y(b).\nAnswer: 1306*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 - (-451370)\/15)\/(1 + (-4)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, 5, 69, 185, 371, 645?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 446, 872, 1296, 1718?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g = 5*q + 40, -7*g + 5*g + 10 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 379*p - 1786 - 668*p - 1181*p + 1786. Let d(u) = 4*u**2. Calculate d(f(g)).\nAnswer: 8643600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 8, 15, 36, 77, 144, 243?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4 = w - 14, -2*n + 20 = w. Let h(p) = 32*p + 35. Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4255 and 2594699?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 46*c + 1 = -47*c, 0 = -4*s + 5*c + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 10 + 14. Let n(u) be the second derivative of 0 + 1\/12*u**3 + 3*u - 1\/24*u**4 + 1\/2*u**p. Factor n(x).\nAnswer: -(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -19*g**2 - 61459*g + 122897*g - 61515*g + 3. Calculate h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 3*t + 3 = 0. Let p be 0 + t + (-15)\/21. Let i(o) = o**3 + o**2. Let s be i(-1). Which is the smallest value?  (a) p  (b) s  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 17*f + 5635 = 0. Let -3*a**3 + 5*a**4 + 47*a**3 + 68*a + f + 16*a**3 - 488*a + 110*a**2 = 0. Calculate a.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/6*2*2. Let q be (-64)\/(-10) - m\/(-5). Suppose q*d + 10 = d. Round d to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of 0*b - 1\/140*b**7 + 14*b**2 - 1\/80*b**6 + 1\/16*b**4 + 1\/40*b**5 + 0*b**3 + 0. Solve z(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*b**4 + 5262769*b**2 - 1172653129*b?\nAnswer: 168*b**2 + 10525538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - i + 34 = 0, 5*i = r + 5 - 3. Let j be (-8)\/2 + 8 - r. List the prime factors of 2015\/45 + j\/(-18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 3. Let s = -15 + 25. Let o = -10 + s. Which is the closest to -1?  (a) 4  (b) o  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2328*p - 5054 - 4978 = -180*p. Suppose 3*i + 1 = 4*i. Suppose -4*d + i = -3*d. Calculate the least common multiple of p and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1890103 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 172409230 and 35.\nAnswer: 172409230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - d**2 - 5*d. Let o(b) = -b**2 + 238*b - 469. Let m be o(2). Calculate s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6\/2479 + 448735\/14874. Let v = -30 + s. Let p be (3 - 7)*(-9)\/(-12). Sort 0.4, p, v.\nAnswer: p, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -14 - -2) + 0 + -6 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395972527?\nAnswer: 97, 911, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 38827510 a multiple of 2410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + (4 - 20) + 38?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w**3 + 100*w - 84515*w**2 + 84515*w**2 in the form i*w**2 + j*w + l*w**3 + q and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 21*a + 112. Give y(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 3*l - 300. Suppose -l = 3*f - 246. Let r = f + -16. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207 at least as big as 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4618, -7978, -11364, -14788, -18262?\nAnswer: -21798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 - o**2 - 10 + 3*o**4 + 54*o**3 + 50 - 17 - 6 + 3*o as j*o**4 + l*o**3 + w*o + f*o**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -127 divided by 1191\nAnswer: -127\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*o**3 - 11*o**3 + 26*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93507.\nAnswer: 3, 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2633577236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 0.5  (c) 4  (d) -1  (e) 0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 - 331 = 235*t - 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -52. Calculate the remainder when v is divided by -9*(1 - (-20)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -124*d*n**3*w + 3*d*n - d + 41*n**3*w + 12*n**3 - 21*n*w wrt d?\nAnswer: -124*n**3*w + 3*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 3)*(-o + 1 - 1) + (28 - 28 - o)*(4 - 1 - 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3*n. Let l(i) = 188*i. Give l(q(c)).\nAnswer: -564*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 16 = 5*k, 6*o - 5 = o + 2*k. Suppose -25 = 5*c, 4*c + 29 - 3 = 2*f. Suppose -o = f*g - 36. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*r - 478 = 0, 8*b - 3*b + 5*r = -1180. Is (-2)\/((2\/b)\/(9\/27)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4*l**2 + 2129*l + 21. Let f(u) = -u**2 - 532*u - 5. Give 2*b(o) + 9*f(o).\nAnswer: -o**2 - 530*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -655843\/5 or -131169?\nAnswer: -131169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 3:59 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 486*d + 18464. What is a(-38)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-20)*-2 - 9138\/(-10). Let t = 3154 - y. Suppose -v - 5960 = t. Round v to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7*(3\/(-1) + 2). Let n = -298 + 302. Let f(b) = b - 4. Let m(w) = 2*w - 7. Determine j*f(g) + n*m(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5*a = 4*q - 26, -107 = -5*q + 2*a. Suppose -5*v = 2*d - 151, -4*v + 453 = 4*d + 181. Calculate the highest common divisor of d and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q - 1. Let d be b(-2). Suppose 17*g = d*g - 60. What is the common denominator of ((-3)\/g*26)\/((-18)\/(-5)) and 103\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 5*g = 47817, -2*t + g - 3*g = -31894. Let z be t\/(-7) - (-4)\/(-14). Let c be 9\/18 + z\/(-4). Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90)\/15)\/(108\/81)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 37 + 3 = 0, -3172*t = -3174*t - 3*v + 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -j**7\/63 - 163*j**6\/45 - 688*j**5\/3 - 3200*j**4\/3 - 213*j + 8. Solve a(q) = 0.\nAnswer: -80, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 12 - 1)*(3*f - 4 + 4) in the form w*f + b and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/(14\/(-4))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 divided by -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 7 = r - 14, -5*s + 75 = -2*r. Let k(l) = l**2 + 6 - 8*l - s - 6. What is the units digit of k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 0.06, -0.22, -2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(30)\/sqrt(3)) + sqrt(6))\/(-1*2*sqrt(3)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52 + -2 + ((8 - -7) + -15 - (-2 - -3)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 4 - 2 + 1 = 0, -18*g - 4*a - 35 = -5*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 9746.\nAnswer: 19492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*s - 68. Let d be -4 + -1*(-4)\/(-2). Let r = d + s. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 + -17. Let y be (-2)\/((-18)\/(-947)) + w. Let h = 102 + y. Which is the nearest to 1\/3?  (a) -1  (b) h  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*w**5 - 4*w**4 + 55*w**3 + 7747*w**2 wrt w.\nAnswer: 360*w**2 - 96*w + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 0.13  (c) -0.1  (d) -1\/5  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 7.2. Let f = w - -0.7. Let d be -1 - (-62)\/40 - (-14)\/56. What is the smallest value in f, d, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -0*r + 3*r - 2, -3*g - 3 = 0. Solve -6*l + r*l = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by 97613\nAnswer: -23\/97613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*u + 5*u = -8, 2*l + 5*u - 26 = 0. Let g(c) = 3*c**2 - 2*c + c**3 + l + 4*c + c**2. What is the units digit of g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1690972447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - q + 2 = 0. Find z, given that 0 - 2\/5*z**3 - 2\/5*z + 4\/5*z**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dododdooodddozd. Give prob of picking 1 z and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**37*j*j)**(23\/5))**(-2\/71) assuming j is positive.\nAnswer: j**(-1794\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 4 = 2*z, -4*p - 16*z = -14*z - 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*z + 35*z. Put -4, z, -2, -3 in increasing order.\nAnswer: -4, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-6 - (4 + -7))) + (75 - 65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qyyl when four letters picked without replacement from qlnybllyylylyyyybly?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from zhhhzhzzhzhzhhzzzh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + s - 3*q - 18, 0 = 2*s + 5*q + 16. Suppose s*o - 4 = 2*z - 0, -3 = -3*z. Let w(j) = 6*j**2 - 254*j + 82. Let f be w(42). Sort 4, f, o.\nAnswer: f, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 150.3 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(24)\/sqrt(4))\/(sqrt(21)\/(sqrt(14)\/sqrt(2) + sqrt(7))) + (sqrt(2) - (-4 + sqrt(2) + 0) - -1*sqrt(32))**2.\nAnswer: 48 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 32491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 20065710 to the nearest 10000.\nAnswer: 20070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1784855218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 286 - (2 + -5) - 4. Suppose -f + 2*f = i. Is 87 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 12:45 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 9:13 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**3 - o**3 + o**3)*(54 - 43 - 467).\nAnswer: 912*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/80941 and 9\/2984.\nAnswer: 647528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 746792678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -10042033?\nAnswer: -10042023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 - 38. Sort 5, y, -2 in ascending order.\nAnswer: y, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9058 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z - 2. Let s be i(-4). Let r be (-16)\/6 - s\/6. Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**3 + 19*m**2 + m - 19 = 0 for m.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 240 = 4*t, -5*t + 44 = 3*y - 144. What is the remainder when y is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2101 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3\/8 - 17301*u**2\/8 + 17307*u\/4.\nAnswer: -3*u*(u - 2)*(u + 5769)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**2 - 5*n + 5. Let l(d) be the first derivative of -d**3\/3 - d**2\/2 + d - 45. Determine -h(k) + 5*l(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 3 - 5) + (114 - 98) + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542323 is divided by 532.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5*2*(-3 + sqrt(700)*1)*5)**2 + 0.\nAnswer: -150000*sqrt(7) + 1772498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 118 + -2?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2825 + -5653\/2. Suppose 2*u = 75 - 21. Let o be 9\/u*(-9)\/4. Which is the nearest to -2?  (a) o  (b) 4\/9  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14322?\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18081936 + -361470369\/20. Let q = -8423 + f. What is the common denominator of -7\/8 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q + 405 - 405.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {g: 7, y: 2, i: 11}?\nAnswer: 77\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from dbbbbbbbdbb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 2 = -3*v, 18*v = 14*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -659\/12 - -55. Let f(l) be the second derivative of -1\/2*l**2 + 0 + 0*l**3 + k*l**4 + 3*l. Differentiate f(v) with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*sqrt(5445)*-2 - sqrt(5445))**2 - (-5*(5 + sqrt(45)*2)*-2)**2)*-6.\nAnswer: 36000*sqrt(5) + 711060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**2 - 969*z**3 - 4*z**2 - 3*z**2.\nAnswer: -969*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/6*(-15)\/(-15)*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 329166, 658336, 987506, 1316676, 1645846, 1975016?\n\"Answer: 329170*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 206*n - 1009. Determine x(8).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6293721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 780 = 2*u, -3*x + 0*u + 4*u = -2344. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d - 3*d + 8*d)*(d + 3 - 3) + d**2 + 0*d**2 + d**2 + (-d + 0*d + 0*d)*(-2*d - 3*d + 4*d) to the form k*d**2 + i*d + r and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*x**2 + 71*x**2 + 175*x**2 - 13*x**2 as n*x + b + o*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1593*x + 12918*x + 15679*x.\nAnswer: 27004*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 42 = i - 56, -i = -5*s + 102. Let o be (s\/12)\/((-1)\/(-3)). What is the first derivative of 4 - f - 5 + o wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44 + 81 - 3*l + 3*l - 2*l to v*l + t and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 7*n - 5. Let p be b(8). Suppose 2*i - t - 7 = 0, 0*i - i + t + p = 0. Let x(j) = 2*j**2 - 6*j + 3. What is x(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 8 = 50. Suppose 2*y - u*y + 8 = -3*h, 0 = y + 3*h - 17. Let w(k) = 8*k + 3. Is w(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 2. Let v = m - 1. Let o = 0.41 + 2.59. What is the closest to 0 in -2, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6919, -1\/3, 7 in increasing order.\nAnswer: -2, -1\/3, 7, 6919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/144 and -47\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 13 + 210*x**2 - 213*x**2 + 27 - 19.\nAnswer: -3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 5*c + 2*c)*(-c**4 + c**2 - c**2) - 7*c**3 + 7*c**3 - 4*c**5 + (-c - 2*c + 2*c)*(2*c**4 - 2*c**4 - c**4).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y - 8. Let r(h) = -4*h - 10. Let o(i) = 9*a(i) - 8*r(i). Determine o(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of -2*n**3\/3 - 2*n + 38. Let r(h) = 2*h + 28. Let k be r(-13). Let m(c) = -5*c**2 - 7. What is k*m(l) - 7*o(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 20749533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5464*j**3 + 12*j**2 - j + 988812 with respect to j.\nAnswer: 16392*j**2 + 24*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*a - 92 + 91 - 2*a**3 - a**4 - 3*a**3 - 107*a - a**4 wrt a?\nAnswer: -24*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - x = -152. Let c(i) = i**3 + 13*i**2 + i - 21. Let n be c(-13). Let m = n + x. Solve -m*l + 4 = -4*o, -5*l + 10 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -10*d + 97. Suppose -218 - 1318 = -d*a. Calculate the highest common factor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000011 - 1?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(900\/(-81))\/10*(-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 432 a factor of 22109760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.2 + 7. Let i = s - -1.7. What is the smallest value in -0.1, 2\/19, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*r - 10*r - 156. Suppose r = 5*p - 178. Suppose 3*t - 63 = -2*m, 3*t - m - 17 = p. Solve 5*c + t = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 1335178*f - 34. Let t be w(5). Let s = -68275856 + t. Round s to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 3*y + 6. Let m be g(-5). Let v = -1 + 2. Let q = 5 - 5. What is the closest to 0 in q, m, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -205?  (a) 2\/5  (b) 0.5  (c) -3  (d) 0  (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f - 8. Let i be 2\/8 - 559\/(-52). Let a be q(i). Let l = a - -47. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 5*c - 95. What is v(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -859\/7 - -123. Let g = -4455\/1688 - -3\/211. Let f = -89\/40 - g. What is the third biggest value in m, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.06  (b) -0.21  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25617469?\nAnswer: 23, 29, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from 103720.\nAnswer: 103715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v - 1. Suppose -34*k - 16*k = -5700. Suppose k*m - 115*m = 2. What is j(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14320 - 4?\nAnswer: -14324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 114*p**2 - 83 + 10 + 25*p - 11*p**3 - 177*p - 2*p**4 - 17*p**3 = 0. Calculate p.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -82*u - 2. Calculate c(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 776 and 10961.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 8:53 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13 + 25 + s**2 - 18 + (-2 - 1 + 1)*(3*s**2 - 3*s**2 - 2*s**2).\nAnswer: 5*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, n: 3, q: 1, p: 1, a: 1}. Give prob of sequence aq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 - f**2 - 6 + 3 + 2. Let c(j) = 30*j**2 - 33. Calculate -2*c(b) + 66*z(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 54, 61, 68?\n\"Answer: 7*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 >= 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(((-5)\/10)\/(-1)). Suppose v - 4 = f. What is the third derivative of -12*c**2 + c**v - 11*c**6 + 3*c**6 wrt c?\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -453, -1398, -3231, -6246, -10737?\nAnswer: -16998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.1, -76, 2\/15, 0.66, -3?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -30 + 24 + (2 - 16) - 41\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**4 + 192*q**3 + 2346*q**2 + 4124*q + 1968 = 0. Calculate q.\nAnswer: -82, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -4*9\/(-12). Let w = 11 - c. What is the units digit of 15\/w*(-14)\/(-35) + 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/((sqrt(33) - sqrt(132))\/sqrt(11)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/10449 and 38\/19737?\nAnswer: 177633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d - 6. Let q be c(8). Let w = q - 0. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {v: 3, a: 10, p: 1, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**4 - 2*q**2 - 5*q**4 - 6*q**3 + 2 + 3*q**4 + q**3 to n*q**3 + r + s*q**4 + u*q**2 + o*q and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 15*c - 57. What is z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30498 and 3285386?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 0.8. Let q = -2 - -3. Which is the closest to 0?  (a) d  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4535786162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2343*c + 4779*c - 2888*c.\nAnswer: -452*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/10 - 24\/15. Let l = 16 + -18. Are z and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.43005 rounded to 2 dps?\nAnswer: -16.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 6*i + 5. Let a be f(5). Suppose -2*r + a = -10. Suppose 2*d = -m + 14, -r*m + 0 = -3*d - 5. Solve -2*u - 3 = -3*n, 0*n - d*u = n + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/2198 and -113\/15386?\nAnswer: 15386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 22*m - 20. Let q be f(1). Solve 4*p = -2*x - 16, 2*p - 3*p - 4 = q*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2\/(z*z**(-8\/7)))\/(z**(-8))**(1\/10))**(-2\/25) assuming z is positive.\nAnswer: z**(-206\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**2\/3 + 474098*j - 1422300 = 0.\nAnswer: -711150, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3256\/(-16)*(-6)\/(-5). Let s = 245 + v. Suppose -7 = -2*y + 5*r, 3*r = 2*y - 6 + 1. Is s at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, j: 1, v: 2, w: 8}. What is prob of sequence ffv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 606 is divided by 198.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**3 + 2*n**2 + 5*n - 7. Suppose 6*p - 199 = -1909. Let o be (-3)\/12 + p\/60. Let g(s) = -3*s**3 - 3*s**2 - 7*s + 10. Determine o*g(d) - 7*f(d).\nAnswer: d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 l when four letters picked without replacement from {l: 4, i: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.03 or -446?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*k - 62*k - 136*k = 182*k - 18480 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -7. Suppose -4*p + 25 = -b, -4*p = -9*p - o*b + 5. Solve p*m + 4*a - 19 = 0, -a + 0 + 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -2*p**5\/5 + 551562*p**4\/5 - 7593975412*p**3 - 7959586099164*p**2\/5 - 3161052072178*p - 1576728938070 = 0?\nAnswer: -207, -1, 137995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 8214508*w**2\/3 - 65716066*w\/3 + 16\/3 = 0.\nAnswer: 1\/4107254, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12284 = 4*g + 2*j, 0 = 16*g - 14*g - 2*j - 6142. Is g at least as big as 3071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 3*l**2 - 5*l + 4. Let f be m(-3). Let p = -18 + f. Let d be 1 + p + (-36)\/2. Which is bigger: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (56 + 43 - 33)*(2*w**2 + 7 - 7)*(1 - 1 + 2) as z + b*w + p*w**2 and give p.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115 - 12*t**2 + 115)*(-7 - 7*t**2 + 7 + (3*t + 0*t - 2*t)*(0*t + 4*t - 3*t) - 1 + t**2 + 1 + 0*t**2 - 2*t**2 + 0*t**2).\nAnswer: 84*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.9984 and -0.08 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/7 - (-6)\/(-21). Suppose d = -d - 3*x + 24, 0 = p*d + 4*x - 22. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 3*c**2 + 22*c + 58. Let b be q(-5). Let r be (-4)\/2 - b*1\/(-9). What is i in -r*i**5 + 4\/9*i - 2*i**4 + 0 - 17\/9*i**3 + 0*i**2 = 0?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/2*(-95)\/(-285). Let f = -86.4 - -86. Let z = 6 + -6.3. What is the smallest value in 1, z, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 29 - 8 + 6*g**2 + 5*g - 22 - 4*g**3. Let u(d) = 5*d**3 - 7*d**2 - 6*d + 1. Calculate 5*u(p) + 6*y(p).\nAnswer: p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {d: 2, f: 1, l: 8, s: 2, a: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2554 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/10 + (-48)\/10. Let n = s - -7. Let j(i) = 4*i**n - 2*i**2 - 3*i**2 + 0*i**2 - 2. What is j(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*p = 110, 2*r - 3*p = r - 59. Let l = 49 + r. Solve -l*a + 25 = -7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 + -664 + 3 + 6?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6644 divided by 1661\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 529600693 to the nearest integer?\nAnswer: 23013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 120715 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2b + -366b1?\nAnswer: -36686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**3 + 26*a**2 - 24*a + 99. Determine l(-15).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -c**4\/24 + 2*c**3 + 353*c**2. Let y(l) = 13*l + 3*l**2 - 13*l - l**2. Calculate g(y(i)).\nAnswer: -2*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-2\/7))**(-12)*(l**(2\/3))**(-1\/2) assuming l is positive.\nAnswer: l**(-439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -35*l + 627. Calculate the remainder when k(8) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 4. Let j = -8 - k. Suppose -d + 2*d = j. Solve 2 = -4*s + d*p, 19 = -2*s - s - 5*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8804232 a multiple of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uyuysyu. Give prob of picking 1 u, 1 s, and 2 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-133)\/9)\/(-1) + 14\/63. Suppose -3*m = w, p - 2*p + 3*m = -226. List the prime factors of p.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06*-34\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 6*f**2 + 6*f + 6. Let g be x(-5). Let v be 362\/12 + 2\/6. Let z = v - 30. Which is the nearest to g?  (a) -5  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 89, 95, 99, 101, 101, 99, 95?\n\"Answer: -y**2 + 9*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 = 2*k. Let u be (-60122)\/(-149292) + 13\/(286\/(-4)). Let o = -1\/754 - u. What is the fourth biggest value in k, o, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 285 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -114, -443, -1120, -2241, -3902, -6199?\nAnswer: -9228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**3 - 5*x**5 - 3*x**3 + (6*x**2 - 5*x + 5*x)*(x**2 + 0*x**2 + x**2)*(2 + x - 2).\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-63)\/(-36))\/(2\/8). Let q(k) = -k**2 - 4*k + 81. What is q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6690847 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((5*(sqrt(1573) + 1) - ((0 + sqrt(1573) + -4 - sqrt(1573)) + sqrt(1573) - sqrt(1573)))**2 + 3 - (2*3*sqrt(1573) + 4*sqrt(1573)*-2)**2).\nAnswer: 1980*sqrt(13) + 66234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00726819 rounded to 5 dps?\nAnswer: 0.00727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**3 + 3*l**3 - 2*l**3)*(-3 - 3 + 5 + (1 + 1 - 4)*(-5 - 3 + 6)) - 6*l**3 - 5*l**3 - l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -15 - 4*z - 2 - 1 - 13. What is the tens digit of b(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 3. Let w(c) = -4*c**2 - 98*c + 49. Let q be w(0). Let s be 6\/3*(6 - -1). Let y be 52\/s - (-14)\/q. Determine r(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = j - 0*j - 10, 0 = 4*y - 3*j - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33233, -33247, -33271, -33305, -33349, -33403?\nAnswer: -33467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14987 is divided by 7368?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26?  (a) -2\/9  (b) -0.007  (c) 2\/9  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000038559394 rounded to 7 decimal places?\nAnswer: -0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7*h + 2. Let a be s(-1). Suppose -a = -n + 1. Calculate the remainder when 107 is divided by (2 + 1)*(n + 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**5\/3 + 9*v**4 - 23*v**3\/3 = 0 for v.\nAnswer: 0, 1, 23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**4 - 2*s - 24 + 57 - s**4 - 30 to the form l*s**2 + v*s**4 + g + h*s**3 + n*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -575 - -578. Which is the third biggest value?  (a) t  (b) -117  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + p + 24 = 0, 7*r + 43 = 10*r + 2*p for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 10 = 5*b, -4*l - 4*b = -8 - 0. Suppose l = -r - r. Is 1*(2 - r) + 77 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0\/((r\/((r*(r\/((r**(-1)*r*r)\/r))\/r)\/r))\/r*r*r)*r\/(r\/(r*(r\/(r*((r*r**(-1)*r*r)\/r*r)\/r)*r)\/r*r))*r*r\/(r\/r**(-2\/7)))**(-5\/2) assuming r is positive.\nAnswer: r**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-27)*x**(-4\/3)\/x*x**29*x*x**(2\/11) assuming x is positive.\nAnswer: x**(61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*p - 0. Suppose -4*l = -7 - 1. Find the second derivative of a**2 + 3*a**p - a - 3*a**l wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6 + 66\/6 - 64\/14. What is the closest to 1 in x, -0.1, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100001010011 - -11?\nAnswer: 10100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, b: 1, m: 2, v: 1}. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2492*o**2 - 58976*o\/3 - 41024.\nAnswer: 4*(7*o + 12)*(267*o - 2564)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 194\/6 + (-4)\/(-6). Suppose 0 = 5*a + 3*h - r, 0 = -0*a + a + h - 5. Find the second derivative of l - l**3 + l**3 - a*l**3 wrt l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + -2 + sqrt(98) + 1 + (3*sqrt(98)*2 - (-1 + 1 + sqrt(98))))**2.\nAnswer: -7106 + 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 901\/17 - (-26 - -32). Solve -n*x + 66 = -36*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*w + 9724 = 0, -m + 1722 + 1506 = 4*w. List the prime factors of m.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 263444123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1668757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -379, 0.13, 4, 0.2?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 16968204332 and 0.28204.\nAnswer: 16968204332.28204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**2 + a**2 - a**2 + (-2 + 13 - 12)*(3*a**2 - 18 + 18).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 55748 (base 14) in base 8?\nAnswer: 624604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*l = 21*l + 32. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 576 = 3*a, -367*a - 4*n + 926 = -362*a. Calculate the remainder when a is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (336\/(-72))\/(4\/6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*m + 34, 84*m - 7 = 2*q + 89*m. Let t(x) = -x**3 - 18*x**2 - 79*x - 20. Give t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and 1320?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, i: 8}. Give prob of picking 3 i.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/240 and -35\/351948?\nAnswer: 7038960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -j**8\/112 - 4*j**7\/35 - j**6\/2 - 4*j**5\/5 - 812*j**2. Factor b(i).\nAnswer: -3*i**2*(i + 2)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 3:32 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 43. Let q = 25 + z. Let m = q - -8. Sort 2, 2\/3, m.\nAnswer: m, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-114)\/(-9))\/19 - (-340)\/(-330)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 392  (b) 1  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -603, -2, 4, 3\/2, 1\/2, -0.5.\nAnswer: -603, -2, -0.5, 1\/2, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1951\/2 + -975. What is the third smallest value in 5\/6, -0.3, 2\/9, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 216 - 214. Which is the nearest to -2\/7?  (a) -2\/7  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**5\/9 + 617*b**4\/3 - 3706*b**3\/9 + 2*b**2\/9 + 1235*b\/3 - 1853\/9 = 0.\nAnswer: -1853, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 266377.29 and -1.\nAnswer: -266377.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*y + 300*y - 18 = 600*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 189*f + 187*f + 4 as r + g*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1817.4091 to the nearest 10.\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 5, y: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2392 and 157320.\nAnswer: 2045160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/370 and -54\/175.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/47272 and 3\/472720.\nAnswer: 472720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*u - 4*x, 5*x = u + 4*x - 8. Let l be (2 + -2)\/1 - 2. Let c be (-52)\/55 - l\/u. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*m + 200988 = -584566. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10466 or -10469?\nAnswer: -10466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -721*z - 238*z + 103*z.\nAnswer: -856*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*w = -70*w - 30. Let g = 3 + -1. Is w at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15393 and -5.\nAnswer: -76965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81371 + -81371. Let j be (-1 - -3) + -3 - 24. Put 5, k, -4, j in ascending order.\nAnswer: j, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 7 + 0*z**2 - 1\/6*z**4 + z - 2\/3*z**3. Solve k(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141120167 less than 141120167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqcnrfq. What is prob of sequence qfb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 10. Let v be 15 + 5 - h\/(-2). Suppose 0*f - 4*f**2 + 12*f - v*f - 3*f**3 - 8*f**2 = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of d**7\/30 - 7*d**3\/6 - 5*d**2 - 4. Let c(t) be the second derivative of z(t). What is the derivative of c(l) wrt l?\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 402 + -398. Solve -5*n - v*u = 13, 5*n + 3*u - 2*u = -22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1836.6 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 360419293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -145*h + 3. Let v(t) = 292*t - 7. Let a(y) = -5*n(y) - 2*v(y). What is the units digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3654 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 330384, 1321580, 2973586, 5286408, 8260052, 11894524, 16189830, 21145976?\n\"Answer: b**3 + 330399*b**2 - 8*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/1819 or -1202?\nAnswer: 6\/1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * -2246.\nAnswer: 26952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 1. Let n(v) = 2*v**2 - 4. Let a(l) = n(l) + 4*p(l). Let g(o) = -2*o**2. Determine a(g(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 4)*(0*h**3 - h**3 - 6 + 14 - h**2) to x*h**2 + n*h**3 + o + y*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**5 + 25*b**4 - 35*b**3 + 15*b**2.\nAnswer: -5*b**2*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = m - 5*l, 6 + 2 = -4*l. Suppose r + m = 9. Let s = 19 - r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of t**7\/1260 - t**6\/90 - t**5\/12 + t**4\/6 + 10*t**3\/3 + 6*t**2. Let v(u) be the second derivative of z(u). Factor v(h).\nAnswer: 2*(h - 5)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q + 41 - 81 + 40.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-124)\/3)\/(2\/6). Let j = -233 - z. Let c = j - -155. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/386274 and -67\/37842?\nAnswer: 20472522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - 17*k - 18. Let s(x) = -x**2 + x. Let m(u) = -2*s(u) - y(u). Let p be m(-14). Let z(d) = 2*d + 3. Let l be z(p). Solve -l + 1 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3508, -3466, -3414, -3346, -3256?\nAnswer: -3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 times -14318.4?\nAnswer: -11454.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 0*p**2 + 3*p**2 - 5*p**2 + 0*p**2. Let a(v) = 5*v**2. Calculate a(i(q)).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*n**2*w**4 + 10*n**2*w - 3*n**2 + 19*w**6 + 2*w**2 wrt w.\nAnswer: 96*n**2*w + 2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13833 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0178276 - 344953.\nAnswer: -344953.0178276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 117.93 + -10.23. Let l = 0.073 - 101.073. Let x = l + v. What is x rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3 + sqrt(128) + -2 - (sqrt(128) + (sqrt(128) - sqrt(128)*1*-4))) + 3)**2 + 0)*5 + 4.\nAnswer: -1600*sqrt(2) + 16084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 82278.51 decades in centuries?\nAnswer: 8227.851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g**2 - 2. Let c be 3 + (-12)\/8*6. Let v be p(c). Suppose -2*f - 3*f = -v. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 9\/5)\/((-46)\/(-115)). Let m(w) be the first derivative of -5\/2*w**z + 5 + 0*w. Let c(b) = -3*b. What is c(m(a))?\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -0*u + 3*u + 31 + 4, -6*l + 16*u - 2*u + 182 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -0.3, 1\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -5*i**4 - 4530*i**3 - 35600*i**2 + 289920*i + 2298880 = 0.\nAnswer: -898, -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-2)*(-1)\/(-18)*(-466)\/(-233).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80*w**3 - 857*w**2 wrt w?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ukkewuheehewkkdkk. Give prob of picking 2 u and 1 e.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 9 - -16) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.4, -13, 4.\nAnswer: -13, -0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/(-10)*((-16 - -3)\/(-39) - -3). Solve 0 = y - q*u + 27, -5*y + 3*u + 3 = 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57 - 56.7. Suppose -5*c - 5*b + 30 = 0, 5*c = 2*b + b + 30. Let k(n) = n**3 - 6*n**2 - n + 6. Let l be k(c). Is t at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385 is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*q - 1064*q - 226982 = -220101 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 6 - (-20)\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2594, 20493, 69034, 163541, 319338?\n\"Answer: 2554*t**3 - 3*t**2 + 30*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 937795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 6*r**2. Suppose 0 = -2*n + 200 + 24. Suppose -16*o + n = -0*o. Let c(s) = 5*s**2 - o*s**2 + 6*s**2. Calculate w(c(v)).\nAnswer: 96*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34 - -37. Suppose 39 = 3*r - 2*d, -54 = -4*r - 0*r + 2*d. Suppose h - r = -5*v - h, l = v + h. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-5)*-1)\/(72\/540). Suppose 35 - 11 = f*c. Suppose -k - 5772 = -c*x + x, k + 3 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20*k + 34 - 34)*(3*k + 3*k + 2*k) to n + g*k + w*k**2 and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/20 - 702\/(-24). Solve 4*w + 1 = 4*m + r, 5*m = -2*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 4*s + 39, 0 = 21*s - 20*s + 4. Suppose -g + 1 = -3*t + 103, 2*t - 4*g = 58. Find the first derivative of q - 6 + 35 - t*y**3 wrt y.\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 64246*h**2 - h - 64245*h**2 - 20 + 0*h. Give q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/95 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0*k - 3*x = -1823, -360 = -k + 4*x. Suppose o = 4*o - 3*r - 360, r + k = 3*o. Calculate the remainder when o is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.24 + 29.5.\nAnswer: 29.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100100010111 - 1110101?\nAnswer: 100100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 3*u**2 + 15*u + 14. Let t be z(-3). Is -1\/2 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15\/12)\/((-1)\/(-12)). Let m be (117\/(-12))\/(47\/(-1880)). Suppose m = -2*o + j*o. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1008*q**3 + 120*q**2 + q - 9 wrt q?\nAnswer: 6048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6 - (1 + -2)*-2. Let k be 2\/4*a - -31. Suppose -1 = -2*m + 21. Calculate the greatest common divisor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 3*k - k + 18, -14 = -2*k + 3*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 5, 14 in increasing order.\nAnswer: -25, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 2:10 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 5:56 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m + 8*m = 0. Let y(h) = -h**2 + 4*h. Let n be y(4). Solve n*q + 2*q + 6 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -100\/69 + -5\/23. Which is greater: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/11207124 and 163\/20546394.\nAnswer: 123278364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 1 - (-6 + 16 + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 13 = -41. Suppose -8 - b = -3*m. Calculate the highest common divisor of 45 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -846, -1631, -2416, -3201, -3986?\n\"Answer: -785*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2080 - 2080 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -891 - 674 = -5*o + 4*d, 0 = -5*o - d + 1565. List the prime factors of o.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149211 divided by -30\nAnswer: 49737\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*x - 2*d + 4, 2*x + 2*x = 7*d + 79 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 54*n**2 - 13. Let w(u) = 3*u. Calculate w(a(y)).\nAnswer: 162*y**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 59543934 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of g**4\/18 + 4*g**3\/27 - 29*g**2\/9 + 28*g\/3 + 2316. Factor y(u).\nAnswer: 2*(u - 3)*(u - 2)*(u + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3\/5))**44\/(f\/f**(-2\/35)*f**(-6)*f))**(-10\/3) assuming f is positive.\nAnswer: f**(524\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344793 = 50765*j - 50768*j. Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27045, 27046, 27047, 27048, 27049?\nAnswer: 27050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4681 times 3\nAnswer: -14043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 757.6 + -759.9066. Round o to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/48 and 31\/21238.\nAnswer: 509712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**5 - 2*o**5 + 5*o**5 + (3*o + 3 - 3)*(-10*o**4 + 9*o**4 - 11*o**4).\nAnswer: -33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 2438*n + 2435*n - 21 = 0, n = 4*d - 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 658, 2620, 5894, 10474, 16354, 23528, 31990?\nAnswer: 41734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.8, 21, 22?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2435101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 16*a**2 + 12*a**4 + 65*a + 2*a**2 + 17*a**2 + 30 - 17*a**4 - 5*a**3 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 1\/4  (b) -1\/2  (c) -919  (d) 0.5  (e) -1  (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, d: 7, s: 3, p: 2}. Give prob of picking 1 s, 1 u, and 1 p.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4757938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**2. Let q = 24 + -5. Let s(k) = -7 + q*k + 7. Calculate s(r(y)).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 5*l + 3, -8*y + 3*y + 4*l = 18. Let g be ((-2)\/y)\/(2\/12). What is the least common multiple of 2 and g\/4 + 33\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 88*h + 5280. Let i be y(-60). Which is the second smallest value?  (a) 1\/2  (b) -0.5  (c) -51  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-4)\/(b*b**(-1\/2)*b))\/(((b*b**(-6))\/b)\/b**(-2\/19)))**(6\/7))**(-2\/17) assuming b is positive.\nAnswer: b**(-90\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4152 and 9228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 141036689 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + (0 - -2) + 37. Let m be 26\/n - (-32)\/6. Let p = 8 + m. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -226 + 230. Sort h, 66, 5 in increasing order.\nAnswer: h, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 5)*(-358314 + 3965*b + 358314).\nAnswer: -7930*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23 and 15643.\nAnswer: 359789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/3)*i)**(4\/13)*(i*i*i\/i**(-1)*i*i)\/i**(-3\/11))**6 assuming i is positive.\nAnswer: i**(5470\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/3, 0, -6\/1681, 11\/2, 2\/5, 2?\nAnswer: -6\/1681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 4568 = -4*u + 4538, -26 = 4*u + 3*h for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 300592470?\nAnswer: 1202369880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 446 and 774925.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 228 and 2791480?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1460 - -1458. Which is the closest to v?  (a) 4  (b) -1  (c) -2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 22  (c) 0.5  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*f = -3*b - 3, 4*f - 3*b - 12 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 109*a - 25*a - 38*a - 3367 - 19*a - 25*a to s*a + c and give c.\nAnswer: -3367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 255769814171 - 255769812491.99999237. Let h = r - 1679. Round h to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 441 and 462?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32517 and 378?\nAnswer: 1365714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -67776 or -67775?\nAnswer: -67776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/((sqrt(3)*2 + sqrt(3) - sqrt(3))*4).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1726 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*v**2 - 10*v**2 + 6*v**4 + 32*v**2 - 10*v**2 + 31*v**3 in the form q*v + p*v**3 + k*v**2 + m*v**4 + l and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/3470016 and 25\/144.\nAnswer: 10410048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3360 and 6192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 19 - 1840?\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, j: 5, c: 8}. What is prob of picking 3 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 15*w**2 + 4*w + 27. Let r be g(15). Let k = r - 75. Factor 48*y - k*y**3 - 4*y**4 + 4*y**2 + 32 + y**2 + 3*y**2.\nAnswer: -4*(y - 2)*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -j**11\/55440 - j**7\/315 + j**4\/12 - j. Let x(z) be the third derivative of n(z). Find the third derivative of x(o) wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/28)\/(108\/567)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 734 + -744. Suppose 0 = y - 0*y - 10. Is m\/(-25) - (-6126)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2 + m. Let x be w(-3). What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 - -6) + 10\/2. Let s be 12*(l\/16 + 3\/12). Solve s*n = 2*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-18) + 161\/138?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 141777114 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11024 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1004, 4559, 13830, 26809?\n\"Answer: 1854*s**2 + s - 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -83*h + 1. Let f(o) = -20*o. Give f(l(i)).\nAnswer: 1660*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 27 = -3. Let p = 18 + n. Solve -3*i - 6 = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 578*g**3 + 187*g**2 + 187*g - 187. Let s(c) = c**3 - c**2 - c + 1. Give -748*s(o) - 4*u(o).\nAnswer: -3060*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*j**2 - 1 - 27*j**2 + j**3 - 12*j - 26*j**2 - 4*j as n*j**3 + u*j + r*j**2 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -7*z**3 + 8*z**2 + 6*z + 7. Let g(r) be the second derivative of 12 - 1\/2*r**2 - 1\/6*r**3 - 1\/12*r**4 - 2*r + 1\/20*r**5. What is f(b) + 6*g(b)?\nAnswer: -b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16936 = -0*c + 4*c. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 7:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 220030505 (base 7) in base 13?\nAnswer: 2967c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 - 4*l. Let c = -3 + -1. Let r be k(c). Solve -f - 5 = -r*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 931*r**2 - 239200 + 239200 + 819*r**2.\nAnswer: 1750*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 251*x - 6. Let p be f(-2). Let z = -291 - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1872) + -2) - sqrt(1872).\nAnswer: -6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -2*r - 0 + 9, 0 = -5*b - 2*r - 41 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 2)*(5*n + n + 5*n) in the form k*n + x and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8.513997+-20.9393\nAnswer: -29.453297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80787059 divided by 5293.\nAnswer: -15263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/(-1) - 0)*-1. Let s be (2 - 5)\/((-6)\/4). Suppose -v = s*v - h. Solve o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6264 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1319*c**3 - 1 + 824*c**3 + 1137*c**3.\nAnswer: 3280*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/6983 - 153380\/858909. Find the common denominator of m and 25\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 19 - -2 - (17 - 12). Let q be (14\/z - 1) + 1128\/(-192). Sort -1, q, 3 in descending order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((128\/8)\/(-8))\/(40\/(-25))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -0.1, -1\/4, 0.16, -3, 0.3 in increasing order.\nAnswer: -23, -3, -1\/4, -0.1, 0.16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 155043 and 99015.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 102*b**3\/5 + 32375*b**2 - 810333*b\/5 - 1592 = 0.\nAnswer: -1592, -1\/102, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**4 + k**2 + k - 1. Let c(p) = p**4 - p**2 + 1. Suppose g - 3 = 4*g. Let h(w) = g*c(w) - l(w). Find the second derivative of h(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2437 (base 12) in base 4?\nAnswer: 333223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/15 - i**4\/3 + 7*i**3\/6 - i**2. Calculate the remainder when m(6) is divided by ((-24)\/(-14))\/(3\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -6\/13  (b) -0.3  (c) 48  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4255 and 1665.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13\/(-52) - 17\/(-4). Let l be (54\/8)\/(36\/96). Calculate the highest common divisor of l and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**2 + 6*q + 8. Let l be r(-1). Sort 2, 1, 0, l.\nAnswer: l, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0066110729 to 6 decimal places.\nAnswer: 0.006611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -61, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*s**3 + 0 + 0*s + 43\/5*s**2.\nAnswer: -s**2*(s - 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34698 - 19120. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (9 - 23) - 0 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 6. Let w be j(-1). What is the highest common factor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208263961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1))**39*n\/((n*n**4)\/n)*n**(-2)\/n)**(2\/69) assuming n is positive.\nAnswer: n**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 18 = 3*b, 35*b = -p + 13*b + 20*b + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100010111011 + 1111?\nAnswer: -10100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6800 minus 0?\nAnswer: -6800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, z: 5, d: 3, f: 4}. Give prob of sequence zfft.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 14*a - 1. What is the remainder when 51 is divided by l(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -3\/11  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -603 (base 8) in base 12?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468) + 5*(-1*sqrt(468))**2 - (4*sqrt(468) + -2).\nAnswer: -18*sqrt(13) + 2342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.039 + 0.047. Let w = m + 42.914. Let k = -43.00000063 + w. What is k rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 3*k**4\/4 - 9*k**3 - 78*k**2 + 606. Suppose s(o) = 0. What is o?\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*g + 6*g + 143 = 0, -5*j - 2*g = -220. Suppose 5*y - 49 = -6*w + 2*w, 12 = -4*y. Calculate the remainder when j is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 9*u + 5. Let x be z(-9). Let h(k) = 51*k**2 - 4*k + 17. Let n be h(x). Find the third derivative of -o**2 + 1272 + 25*o**3 - n wrt o.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1634.635 nanograms?\nAnswer: 0.000000001634635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -472 (base 8) in base 9?\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 722.2383 minutes in weeks?\nAnswer: 0.071650625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 34 = 4*t - 34, -2 = -i + 5*t. Let b = 9 - i. Let o(a) = a**3 + a - 1. Let p(n) = 2*n**3 + 3*n - 3. Give b*o(z) + p(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(11\/2)\/(l\/(l\/(l*l**(-8\/15)*l))))\/(l*((l**10\/l)\/l)\/l*l*l*l**(-21)*l) assuming l is positive.\nAnswer: l**(421\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*j**4 - 11*j**3 + 17*j**2 + 11*j - 3.\nAnswer: -(j - 1)*(j + 1)**2*(14*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oryoy. Give prob of picking 1 o and 1 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4890945?\nAnswer: 3, 5, 326063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1780566, 3561440, 5342314, 7123188, 8904062?\n\"Answer: 1780874*i - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of w**4\/12 - w**3\/6 + w**2 + w. Suppose 4*u = 9 + 3. What is the units digit of q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 81661 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 112.\nAnswer: -5\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.1, -17, 3, -3367, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -67, -45, -15, 29, 93?\n\"Answer: j**3 - 2*j**2 + 21*j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1134348270 divided by 6874838?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 341, 665, 1027, 1439, 1913, 2461, 3095?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + u + 100. Let f = u + 41. Calculate the greatest common divisor of 48 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-50)\/15 + 4)*3. Suppose -n*t + 2 = -t. Suppose -2 = t*j - 0. Which is smaller: j or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -3\/4, 74 in decreasing order.\nAnswer: 74, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/6  (b) 7  (c) 3  (d) 4  (e) 62  (f) -182  (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -320 smaller than -346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 757681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/153, -0.93, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ittgig. What is prob of sequence ig?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -283828*w**2 - 7*w. Let o(x) = -2*x. What is a(o(c))?\nAnswer: -1135312*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + 1032200020?\nAnswer: 1032200033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 55 + 32*g - 58.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (7 - 6) - (0 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-6)*((-240)\/10)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5\/8*m**2 + 1\/8*m**4 + 0 - 1\/4*m + 1\/8*m**5 - 3\/8*m**3 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -210 - (146 - 346) - (1 + -36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/2 + 2)*7. Let l(u) be the second derivative of 1\/5*u**5 + 0 - 1\/8*u**6 + 1\/42*u**j + u - 1\/12*u**3 - 1\/16*u**4 + 0*u**2. Let l(c) = 0. What is c?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*b - 1)*(5 - 1 - 6) + (-2*b - 3*b + 3*b)*(-2 + 1 + 0)*((1 - 2 - 1)*(-1 + 2 - 4) - 23 - 110 + 0 - 2 + 0 + 0).\nAnswer: -262*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33*243.0436.\nAnswer: 8020.4388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 2:19 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 + 63*u**2 + 553*u + 125. What is the tens digit of i(46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5375480101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**34*(d\/(d**(-26)*d*d))\/d*d*d assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (12 + 1 + -5 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d - 46*d**2 + 18757 - 18280 + 47*d**2.\nAnswer: d**2 - 5*d + 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0368735 smaller than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + 1*(sqrt(117)*1 + -3)**2 + 3.\nAnswer: -18*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136 = -50*d + 52*d, 0 = -15*t - 3*d + 5*d - 106 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.29  (b) 6\/7  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h**3 - h**2. Let w be j(1). Let z(t) = -t**2 + 5 + 4*t**2 - 4*t - 5 + 5. Is z(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**3\/3 - 9766*r**2 - 29304*r = 0.\nAnswer: -3, 0, 14652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by (2*39)\/((-6)\/(-4)) - 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3553256207 to the nearest integer?\nAnswer: 59609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 7*b**2 - b - 9. Let q be d(-7). Sort q, -3, 2 in descending order.\nAnswer: 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7866194?\nAnswer: 2, 7, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + h - 4 = 0. Suppose 1 = -h*r + r. Let i be 124\/10 - 14\/35. Put -0.2, r, i in descending order.\nAnswer: i, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 8*a**2 + 6*a + 7. Let n(o) = -o**3 + 9*o**2 - 7*o - 8. Let p(h) = -3*b(h) - 2*n(h). Let q = -15 + 19. Suppose 7 = q*x - 9. Determine p(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46 - 49. Let z be ((-6)\/4)\/(a\/(-8)). Let w(y) = 3*y**2 + 5*y + 8. Let f(t) = 2*t**2 + 4*t + 7. Calculate z*w(x) + 5*f(x).\nAnswer: -2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 9) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/32 or 6.2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c - 1. Let t(r) = 2*r + 6. Determine -3*p(o) - t(o).\nAnswer: -5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b**5\/2 - 46835*b**4\/2 - 374729*b**3\/2 - 702653*b**2\/2 + 187364*b + 374744 = 0. Calculate b.\nAnswer: -4, -1, 1, 46843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 13*v - 2380. Let s(i) = -24*i + 4758. Give -13*n(j) - 7*s(j).\nAnswer: -j - 2366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -88*o + 29*o + 47*o + 12. Let h(s) = -16*s + 3. Give h(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 5*l + 29, l + 1 + 0 = 0. Suppose 0 = -6*f + 10 + v. Solve -4*s - 16 = 2*q, 5*q - 1 + 6 = -f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 163?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**3*w**2 + 120*n**3*w - 223*n**2*w + 5380*n*w**2 + w**2 wrt n?\nAnswer: 18*n*w**2 + 720*n*w - 446*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -143 (base 11) to base 14.\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 35*o - 6 + 13 as m*o + z and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by (7 + -2)*((-117)\/99 + 1)*-33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 61a321?\nAnswer: 61a31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11478265590 - 11478265789.99999676. Let y = c - -200. Round y to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.039 and -2136.\nAnswer: -83.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.06 - 0.94. Let u = a + 0.8. Let q = -0.1 - -0.1. Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 5 + 5)*(10*l**3 - 20 + 20) + 8*l**4 - 4*l**3 + 4*l**3.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147977 = -6946*x - 848683 - 125868 for x.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (10 + (-45)\/3)*-293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3353, 279, -272.\nAnswer: -272, 279, 3353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -45 - 49*o + 45 - 59*o as c*o + s and give c.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 h when four letters picked without replacement from {h: 3, b: 1, j: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4842206 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 13860*q.\nAnswer: 2*q*(q - 6930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 206533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -79724, -79618, -79442, -79196, -78880, -78494, -78038?\n\"Answer: 35*f**2 + f - 79760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1958 + -1950. Let m(s) be the third derivative of 8*s**2 + 0*s**7 + 0*s + 0*s**5 + 1\/84*s**b + 0*s**3 + 0 + 0*s**6 + 0*s**4. Factor m(n).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, -200959, -87 in increasing order.\nAnswer: -200959, -87, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 51354377 to the power of 1\/2, to the nearest integer?\nAnswer: 7166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3 = -6. What is the second smallest value in -0.3, -1, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of 1 + 4*h + h - 2*h**2 - 3*h + 1. Does 10 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6305 and -0.08.\nAnswer: 504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 12) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13584 (base 12) in base 8?\nAnswer: 64164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*z + 8, 4*z - 5*x + 1 + 1 = 0. Solve -w = w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -67*r + 1. Let m be n(0). What is the second biggest value in 2, -4\/3, m, -43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 11*c = -4*g - 929, 2*c + g = 601. Let r = c - 260. Calculate the remainder when 138 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -19*r - 98. What is i(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5cccec + 5?\nAnswer: 5ccd02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/18*24\/(-10)*(-1)\/40?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.157, -12284, 2\/17 in descending order.\nAnswer: 2\/17, -0.157, -12284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.1 - -1.1. Let i = -0.14587 - -0.64587. Which is the nearest to i?  (a) 0.1  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + i - 16. Let t be h(0). Let m = 40 + t. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -11. Suppose 51 + 78 = t*c. Suppose -c + 4 = -g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -0.02, 0.297?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1 + 0 + 3 + 58 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*d - 216*d**3 - 31195*d**2 + 31195*d**2 + 843 wrt d.\nAnswer: -648*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -123 != -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -23*k**3 - 2*k**2 - k. Is 22 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -1747836?\nAnswer: -1\/1747836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 81863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 11:48 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 81 + 81a?\nAnswer: 89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*u**2 + 249\/2 - 123*u.\nAnswer: -3*(u - 1)*(u + 83)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04010907 rounded to five decimal places?\nAnswer: 0.04011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 4. Let k(w) = -9*w**3 - w. Let l be k(-1). Let u = l + h. Let g(v) = v**2 - 7*v + 4. Calculate g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29131 + 1924 = -310*p - 4710 - 4535 for p.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + y + 18 = 0, -5*g - 98 = 3*y - 2*y - 110 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113309467 divided by -5.\nAnswer: 113309467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13.25 + -10.1. Let c = x - 0.15. What is the nearest to -1 in c, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*z**2 + 2*z**2 - 3*z**2)*(1 + 1 + 2)*(-4 - 3 + 5) to the form o + k*z**2 + c*z and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*k = -34 - 31, -2*k - 173 = -3*m. Calculate the remainder when 117 is divided by m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j = 5*j + 4*i + 11, -4*j + 5*i = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.19 - 0.19. Let f = -3.589 + 3.089. What is the nearest to v in f, -0.2, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001010110010011000 (base 2) to base 7\nAnswer: -2414041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 84470485807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.45 - 0.25. What is the third smallest value in n, 3, -0.3, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 14 = 5*d + 4*h, -2*h + 14 = d. What is the highest common factor of 6 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.07 + 4.93. Sort 0.1, t, -2\/7, -1.\nAnswer: -1, -2\/7, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 + 12*o - 4. Let l be (-26)\/(-3) - 40\/24. Let x be q(l). Let c be 1\/(-4) - (-134)\/(-8). Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 301.67 + -303. Let x = j + 0.33. Let h = -75 - -80. Sort 4, h, x, -1\/2 in ascending order.\nAnswer: x, -1\/2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.385*-40\nAnswer: -55.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*t = -15, 4*f + 2*t - 13 = 25. Suppose -3 = 3*a - 15. Let u = f - a. Solve -u*y + 7 = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13374 and 126?\nAnswer: 93618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14048, 24124, 30232, 32372?\nAnswer: 30544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -485969, -971894, -1457799, -1943684?\n\"Answer: 10*d**2 - 485955*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.766 - 0.234. Let k = -0.57 - -0.6. Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21*-349\nAnswer: -7329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4*f + 20 - 5*f - 16. Let v(n) = -3. Determine -2*s(b) - 3*v(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -2.6. Let j = r - -0.4. Which is the closest to 0.1?  (a) -5  (b) 1\/2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -225447 divided by -225447.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/182525 and -59\/2384.\nAnswer: 2920400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 669*b**2 + 7*b. Suppose -25 = -2*p + 5*v + 24, 3*v = -3*p + 42. Suppose -p = 2*y - 11. Let g be q(y). What is g rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 4*q**2 - 3. Calculate the lowest common multiple of 16 and c(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - 7*u + 8. Let p be y(-8). Find the second derivative of p*f**2 - 7*f + 0*f + 4*f**2 + 3*f**2 wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m**3 - 17*m**3 - 29*m**3.\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-6))\/(-8*12\/144)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3032358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14111473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238124067 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.24 + 0.14. Let i = 2.5 + -3. Let z = 0.4 - -0.1. What is the closest to n in i, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*q**2)*(0*q - q - q) + 1 - 1 - q**3 - 2*q**3 - 2*q**3 + 2*q**3 - 1 + 2*q**3 + 1 + 3*q**3 - q**3 - q**3 + 0*q**3 - q**3 - 3*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14 or -2\/25357?\nAnswer: -2\/25357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 (base 4) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c + 3*r = -5*c - 12, -3*c = 4*r + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 6*t + 18 = 3*t, -4*i = -7*t + 5. What is the nearest to i in 0, -97, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 133*x**2. Suppose 18*d + 120 = -2*d. Let i(n) = -19*n**2 - 6*n - 6. Let o(z) = -3*z**2 - z - 1. Let l(c) = d*o(c) + i(c). Calculate y(l(j)).\nAnswer: 133*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 - h + h - 5 + 2*h.\nAnswer: 2*h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -5676 not equal to -5843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/11 in -2, 0.2, 0.122, 1.5, -6?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.203 and -10\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 6.2. Let j = 15.3697 - 12.3697. Let n be 3 + (2 - 2) + -1. What is the closest to 2\/7 in j, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/6 - (-18 - ((-31347904)\/48)\/(-14)). Calculate the greatest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/44 and -33\/43424.\nAnswer: 477664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 5:51 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77554?\nAnswer: 2, 17, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 282591047 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38.9933*-60.\nAnswer: -2339.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s**3 - s + 1. Let z be r(1). Let l = 8 - z. Suppose 2*b + l = 4*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -0.2047\nAnswer: 0.10235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 340.7402 - -615.5\nAnswer: 956.2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31329 - 31326. Let s = 97 + 94. Which is the closest to -0.1?  (a) -0.2  (b) j  (c) s  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17454, -18682, -20728, -23592?\nAnswer: -27274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 7:58 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 13*a**2 + 3*a + 29. Determine g(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.59306 - -0.19306. Which is the fifth smallest value?  (a) i  (b) 4  (c) 67\/5  (d) 3  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -167*r**3*w**2 + 2*r**3*w - 2079740*w**5 - 163259297 wrt w?\nAnswer: -334*r**3 - 41594800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.0439 - 57462.13246\nAnswer: -57462.17636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 4*u - 24, -4*v = -2*v + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3574085, -3574088, -3574091, -3574094, -3574097?\n\"Answer: -3*g - 3574082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 2412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 q, and 1 e when three letters picked without replacement from emoyyemseseqeyy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -52. Let n = 59 - s. Solve 8*p = 4*p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5)*q\/(q*q**(-1\/2))*((q**(-2\/15)\/q)\/q)\/(q\/((q**(-2)*q*q)\/q*q)))\/(q**6\/q*q*q*q*q**(-5)*q*(q*q**(3\/7))\/q*q**(-1\/3)\/q) assuming q is positive.\nAnswer: q**(-751\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*d + 8*m - 0*m, 5236*d - 3*m + 15 = 5236*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence km when two letters picked without replacement from mkwwkx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -49*i. Let z(w) be the second derivative of -w**6\/120 + 23*w**3\/6 + 99*w. Let h(n) be the second derivative of z(n). Determine h(j(y)).\nAnswer: -7203*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 608 divide 802032864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-870*f + 898*f - 505*f)*(0 - 1 - 1)*(-5*f + 2*f + 2*f)*(1 + 2 + 0).\nAnswer: -2862*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gng when three letters picked without replacement from {g: 8, n: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f + f - 26 + 26 - 4*f**2 to v*f + a + t*f**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1*f\/f**(-4\/3))\/((f**(2\/13)*f)\/f**(-5\/3)) assuming f is positive.\nAnswer: f**(20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/624 and -69\/2.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-9)\/(l\/(l\/(l**(-2\/13)*l))))\/(l**(-3\/7)*l\/(l*l*l\/(l\/l**(2\/15))*l*l)) assuming l is positive.\nAnswer: l**(-8578\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12181 is divided by 2434?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1554\/3108)\/((54\/(-48))\/(6\/(-8)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -201 + 184 + (1 - 75) - (0 - (-4 + 4)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/179301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6453374249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -45, -152, -353, -678, -1157?\nAnswer: -1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 214 - 214.009. Let y = j - -0.029. Let f = 1\/76 - 235\/532. Which is the smallest value?  (a) -0.5  (b) f  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -934 + 938. Solve 2*k = m*b + 14, 2*b = -24*k + 21*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 550 = -90*i - 260 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*m, -40 = -3*w + 7*m - 3*m. Suppose 0 = s - 53 + w. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/4*-4*(-2)\/120?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -144 + -102. Suppose -z - 382 = -j + 2*z, 1196 = 3*j + z. Let i = m + j. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (11 - 4) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 97.6 + -98. Let s = -1357 + 9497\/7. What is the third smallest value in -0.9, s, 0.1, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 148 + -1334\/9. Let r be (2\/5)\/((-1)\/(-20)). Let q be (r\/50)\/(2\/10). Which is the third biggest value?  (a) -4  (b) h  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 + 3*b**3 + 8*b + 0 - 1 to the form l*b**2 + j*b**3 + o + r*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-20)\/(-6))\/((-2)\/(-3)). Suppose -u*o + 2 = -3. Let k be (-2)\/(o + (2 - 4)). Solve 8*c - 3*c + v = 19, 5*c - 18 = -k*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 - 7*t**2 - 7*t - 4. Calculate f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -8*l. Let o(s) = -2*s. Determine i(b) + o(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c + 3*c. Suppose 5*w + 5*j = 45, -3*w + 0*j + j + 31 = c. Suppose -h + 12 = w. Solve 4*v - 2*v + h = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -2*j - 16, 4*j - 6*b + 6 + 74 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-8))\/m)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -6*h - 78. Give x(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 53 - 3. Let v(q) = q + 12. Let d be v(i). Suppose -2*z = -3*t + 67, -3*t + z = -d*z - 66. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 557 - 557 - 2695*n - 2865*n + 5572*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 17*v - 996 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6 = -38. Let q = 14 - z. Suppose -2*r + 3 = m, -4*r + 3*r - q = -4*m. Let k(c) = -12*c**3 + 2*c**2 - 1. What is k(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-12)\/q**(-2\/21)*q*q**(-5)\/q*q**(-12) assuming q is positive.\nAnswer: q**(-607\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5449*c + 1570. What is the hundreds digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*sqrt(27) - sqrt(27))\/(1*sqrt(9)*-1) + -2.\nAnswer: -3*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 11 - -1 - ((-6 - -2) + -15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 75\/8 + -2999\/320. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o - 2. Let y(w) = 7585*w - 260. Calculate -390*q(u) + 3*y(u).\nAnswer: 23535*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of q**10\/15120 + q**7\/504 - q**4\/3 + 7*q. Let s(v) be the third derivative of w(v). Find the third derivative of s(x) wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**2 + 15*q - 11. Let m be a(4). Solve -i + m = 0, 1 = -p - 5*i + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((0\/2)\/(-2))\/2. Let n(f) = f + 4. Let o be n(-6). Let s(k) = -k**3 + 10*k**2 - 8*k - 12. Let m be s(9). Put o, m, j in decreasing order.\nAnswer: j, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 2. Let v = -19 - -12. Let w be l(v). Let y = 0.1 - -0.9. Which is the second smallest value?  (a) y  (b) 1\/4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -x - 16. Let p be 358\/6 + (-4)\/(-12). Suppose -5*u + 65 = -p. Solve 2*c + 0*l + 25 = 3*l, -c - u = -x*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -31888255*c. Let n(z) = z. What is n(y(l))?\nAnswer: -31888255*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 108991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p - 11. Let s(h) = -7*h - 22. Let t(w) = -5*o(w) + 2*s(w). What is the units digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13724 and 72662?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*w**2 - 6\/5*w + 108\/5.\nAnswer: -2*(w - 6)*(w + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 124 - 1489\/12. What is the common denominator of (2 - 358\/(-4))\/(-6) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (282\/51)\/((4\/43)\/2). Let w = y + -119. Which is the nearest to 1?  (a) w  (b) 0  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + 2)\/(1*2). Suppose 0 = 4*a - q*l + 2 - 4, 0 = -4*a + l + 7. What is the units digit of a\/(-15) - (-36)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -g**4\/4 + 5*g**3\/3 + g**2 - 3*g + 2. Let u be m(5). Is 178\/14 - (-2)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - z**2 - 9 - 2*z**2 + 8)*(2*z**3 + 0*z**2 + 0*z**2).\nAnswer: -6*z**5 + 2*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 3 - ((-72 - -80) + 0 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-4 + 6 + -6) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135624101077*k**2 - 135624101086*k**2 + 271248202164*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175162882?\nAnswer: 2, 113, 775057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-6) - -1)*3. Let d(a) = 3*a**2 + 2. Let h be d(s). Let c be 0 + -2 + 3 + h. Solve -4*l = l + c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 5*q. Let k be j(5). Suppose -2*x + 20 = -k. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42327 is divided by 115.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tyz when three letters picked without replacement from {w: 2, u: 4, y: 7, z: 1, t: 4, m: 1}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3*u + 150 = 13, -q + 2*u - 136 = 0. Let a = q - -212. Let z = a - -19. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**5\/210 + r**4\/21 + 4*r**3\/21 + 158*r**2. Factor x(b).\nAnswer: 2*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*t - 15*t + 4*t)*(-66 + 47*t**4 - 2*t + 67 + 3*t**4).\nAnswer: -1450*t**5 + 58*t**2 - 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -5*d + 15, d - 15*g + 17*g - 2 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188*o**2 - 247*o**2 - 33*o**2.\nAnswer: -468*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - 11*y - 6. Let d be l(-13). Let h = d + -312. Suppose 5 = -4*n - 19. Is h at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-6*(sqrt(1700) + 4*(sqrt(1700) + -1) - 3*(sqrt(1700) + 0)) + 3 + -4)**2.\nAnswer: -5520*sqrt(17) + 245334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -122\/3 + 42. What is the nearest to -1\/2 in 18, -0.04, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 0*y - 21 - 13*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/1057081 and 50\/3103913?\nAnswer: 487314341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 13062?\nAnswer: 65310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 34*y - 391. Let x be s(12). Solve 4 = -15*i + x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16587, 66357, 149313, 265455, 414783, 597297?\n\"Answer: 16593*g**2 - 9*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.1137 + -0.1137. Let t be ((-50)\/(-10))\/(2 - 1). What is the biggest value in z, t, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 268*x**2 - 91*x**2 - 87*x**2 - 91*x**2. Let s(k) = k. Determine s(n(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2989409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 2:35 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -214127 = -214127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36486 take away -0.0211008?\nAnswer: 36486.0211008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2 = 13*n - n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17005 and 5191.\nAnswer: 493145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*i**2 + 5*i**3 + 10*i**2 + 7*i**2 + 9*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 12:22 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 6*k - 7. Let z(s) = 5*s - 8. Let w(d) = 2*u(d) - 3*z(d). Let x be 1 - 7*15\/12 - (-6)\/8. Let a(n) = 2*n - 5. Give x*a(o) - 4*w(o).\nAnswer: -2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3023*-7.\nAnswer: -2.1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0310736 - 136.6146736. Let p = n + 137. Round p to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.736595m to nanometers.\nAnswer: 736595000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnjjnjnjjxnjjnjnnxgn. What is prob of picking 2 n and 1 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 4*z - 20. Let g be (-20)\/(-8)*z\/5. Suppose -g*h = -3*h + 39. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4411, -3 in descending order.\nAnswer: 4411, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.9 + 2. Suppose -202*q - 774 = -205*q. Let m be 0 + q\/(-63) + 0 - -4. Which is the nearest to u?  (a) 0.2  (b) m  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 20*r + 79. Let j be v(-4). Let f be (-2192)\/(-550) - 9\/((-81)\/(-36)). Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -3156080\nAnswer: -12624320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, q: 2, h: 2}. What is prob of picking 2 g and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of r**5\/30 - 5*r**4\/18 + 7*r**3\/9 - r**2 - 31*r. Factor u(x).\nAnswer: 2*(x - 3)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1101 (base 6) to base 13\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjh when three letters picked without replacement from jptjphpjjxxxjhpjj.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 12 + 0)*(0*g**3 + 3*g**3 - g**3).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5418, 6062, 7136, 8640, 10574?\n\"Answer: 215*z**2 - z + 5204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 112 and 1484140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 326\/(-9) - (-4)\/18. Let o = -15 - m. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 2:33 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20.4 + 20. Let z = -4.6 + 0.6. What is the smallest value in y, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 293575, 293574, 293573, 293572?\nAnswer: 293571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.307 * 1.\nAnswer: -0.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4, 17, 52, 121, 236, 409, 652?\n\"Answer: 2*n**3 - n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 11. Suppose 29 = -4*y + g*y. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.31 + 2.82. Let z = m - -4.3. Let g = -0.1895 - z. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + r = -4*r - 35, -4*r = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -130404 - -3324003?\nAnswer: 3143044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37\/52 + -6\/13. Let z = -3 - -5. Put z, o, 0.5 in decreasing order.\nAnswer: z, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1462788 is divided by 14341.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 115728 - 115732.5. Suppose -3*c - 4 = c. Is f < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 43 - 6 + 14. Solve -s = n + 4*t, 29*n + 5*t + 14 = 33*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**3\/2 - 123*k**2 + 498*k - 500 = 0.\nAnswer: -250, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1788157 is divided by 133?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -615298616 + 615295016.140008. Let c = -3608.86 - r. Let d = c + 9. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-874)\/80 - 24\/(-480) - -12. Determine t so that 7\/4 + u*t + 1\/8*t**2 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 253207 and 279427?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -7*t**4\/4 + 42*t**3 + 241*t**2\/2 - 93. Let d(r) be the second derivative of j(r). Find the first derivative of d(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/3)\/((o\/o**(2\/11)*o)\/o))\/(o*o**(-5)*o*o*o*o*(o\/o**(1\/6)*o)\/o))**(-40) assuming o is positive.\nAnswer: o**(1300\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2927 = -2*o, 3135 = 4*o - 3*f - 2724. Suppose o = 3*h + 2*h + c, 2*h = -2*c + 584. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4871 is divided by 617?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = q - 7, 3*t - 2*t = 3*q. Let y = t + -5. Sort -3, y, 2 in ascending order.\nAnswer: -3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 18 = 2*v + i, -3*i - 16 = -4*v. Is (13 - v)*3\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(2 - (-14)\/(-4)). Let w be 12*(t - (-40)\/(-21)). Solve 8\/7*q + 2\/7*q**3 - w*q**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 36*n**2 - 81*n - 1512. Give t(32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51066 = 8*n + 15642. Suppose -5*x = 5*q - 5535, -4*x = -4*q + x + n. List the prime factors of q.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2\/7)*g*g*g**(2\/5)\/g*g*g**(1\/2)*g**4*(g\/g**2*g**(-5))\/((g\/(g**0*g))\/g)**(4\/7) assuming g is positive.\nAnswer: g**(83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/1349 and 43\/3698027.\nAnswer: 262559917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {r: 3, n: 1, h: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 435215040 by -104619.\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (8 + (1 - 6)) - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + sqrt(175) + -2 + sqrt(175) + -2)**2 + (sqrt(84)\/sqrt(3) - (sqrt(7) - (-4 + sqrt(28)))).\nAnswer: -117*sqrt(7) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 4*n. Let p(z) = 8839*z. Calculate p(o(h)).\nAnswer: 35356*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (125 - 136) + 195\/1. Calculate the greatest common factor of 828 and z.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 127\/5 + (-2)\/5. Let w be (-6)\/(-10) - (-35)\/q. Suppose -4*s = 3*g - 20, -3*g + 13 = 3*s - 2. Solve -5*l + 28 = -w*c - g*l, -2*c = -2*l + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 14*h**2 + 86*h + 7. Determine s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15716?\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 264094925.2 to the nearest ten thousand.\nAnswer: 264090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25803413 to the nearest integer?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2896 divided by -58.\nAnswer: -1448\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c + 2. Calculate i(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 8. Calculate the remainder when 86\/18 + (-4)\/(-18) is divided by p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2019100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*z - 40 = 158*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 - 9. Let g = z + 34. Let c = -0.05 + 0.45. What is the smallest value in g, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1882.372 litres?\nAnswer: 1882372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 258, 183, -26, -435, -1110, -2117, -3522?\n\"Answer: -11*z**3 - z**2 + 5*z + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/19)\/(f\/(f*f**4)*f))\/(f\/(f**(-3\/11)*f))**(-38\/9) assuming f is positive.\nAnswer: f**(2702\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 0. Suppose -s = 4*b + 3*u, 3*b + 2 = -3*u - 1. Let l = -5 - b. Sort 3, -2, l in decreasing order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 27 + 2*w)*(-469*w**2 - 29*w**3 + 469*w**2 + (-2 + 2 + 2*w)*(0*w + 0*w - 2*w**2)).\nAnswer: -66*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-49 - -1) - (7 - (57 - 58)) - 9?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -14. Let s = v - -10. Is 19\/4 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -367 - -338.1. Let v = -29.04 + 0.04. Let b = v - t. What is the second biggest value in 0.3, -0.5, b, -4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 318974633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 242 - 139. Let a = 72 - b. Let n = a - -30.999895. Round n to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8225900 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*f**3 + 27*f**3 + 39*f**3 - 39*f.\nAnswer: 4*f**3 - 39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r**2 + 0*r**2 + r**2)*(-2*r - 2*r + 5*r)*(-1 - 2 + 4) + 61*r**3 - 24*r**3 + 73*r**3 as d + n*r + c*r**2 + o*r**3 and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 434 + 2420. Let y = c - -356. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 450969 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -14 - (2 - 6\/12)*-2. Let d(k) = -2*k**3 - 21*k**2 + 11*k + 16. Let t be d(v). Solve -4*r + h = 4, -2*r + 2*h = -3*h - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85880)\/30510*81\/(-3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 + 8*n**2 + 19*n + 10. Suppose -2*y - 13 = -3*y + 3*r, -y = 2*r - 8. Let z be x(y). Sort z, -1\/13, 4 in increasing order.\nAnswer: -1\/13, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 6. Let g be x(6). Let i(m) = -83*m**3 + 2*m**2 - 7*m - 8. Let l be i(-1). Let r be ((-11)\/((-77)\/l))\/(3\/2). Solve 3*t + t + r = g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -73 - 143. Suppose -7*q + f = -4*q. Solve -2*t + 10 = -5*z - q, -t - 3*z = 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of 13*s**2 + 65 - 70 - 6*s**2. Let d(o) = -1 + 129*o + 1 - 130*o. What is d(j(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 117 and 432.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/68 and 63\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1544 + 31.1544. What is the second smallest value in -2\/9, 1\/2, q, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*i - 7*i. Calculate the smallest common multiple of (-1)\/((1\/(-1))\/i) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285231378 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -204 + -1112b?\nAnswer: -11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79325950 divided by -5.\nAnswer: -15865190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 734 - 731. Which is the second biggest value?  (a) -307  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000217548 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 3*l + 4. Let f be p(-4). Let n(t) = -2*t + 25. Let h be n(f). What is the greatest common divisor of 39 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - ((-4 - -7) + -3). Suppose -2*l + 4*l = a. Suppose -2*g = -r + 5*r, l = g + 4*r + 6. Solve g*b = b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-4) - (-13)\/14. Let n = -0.121 + -2.959. Let a = n - -0.08. What is the nearest to 0.2 in i, a, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*2871.\nAnswer: 25839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 4. Let i be (-10 - -7)\/((-18)\/(-48)). Is ((-299)\/4)\/(h\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdcf when four letters picked without replacement from cfkxdfxdxxd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 284174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20295456 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2)*(574*n - 312*n - 334*n) - n + 0*n + 3*n - 2*n + 0*n + 3*n + (2 - 1 + 0)*(-2*n + 3*n + 0*n))*(-4 + 4 - 2*n**2).\nAnswer: 280*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 4*v**2 - v - 5. Suppose 0*c + 4*c = -16. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7258 - 7255. Solve -a - j = -3, -111*a = -113*a + z*j - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -1  (b) -0.1085  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-33))\/(((-9)\/24)\/((-9)\/(-4))).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 243 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 0*u**2 + 2*u**2 + 5*u**2. Let i(x) = x**2. Give c(i(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-258)\/45 - 3*6\/(-45)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2134 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 51 - 74. What are the prime factors of (b\/2)\/(1\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of y**4\/16 + y**3\/8 + 46*y - 2. Let f(z) be the first derivative of o(z). Factor f(a).\nAnswer: 3*a*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4143518 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 34211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8585613 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -20 + -12793\nAnswer: -12813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1467.6493818 rounded to the nearest 10?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26610 by -8870.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/(sqrt(9) - -5*sqrt(36)\/sqrt(4)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*k - 14 = 0, 4*n - 2 = -79*k + 76*k. Solve -2*r = n*t - 6, 4*r = r - 4*t + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*g + 225 = -41*g + 94*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 35. Suppose 2*b - 3*b = -f + 34, 3*b + 9 = 0. Let m be f\/11 + l\/8. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-4))\/((-33)\/132)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 7*q**2 - q + 5. Suppose 0*m + 28 = 4*m. Let j be w(m). Let v(c) = c**2 - 1. Let a be v(j). Solve -a*k = 4*b - 3 + 2, k + b = -1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1649\/2629 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 59939 divided by -3\nAnswer: -59939\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1756)\/(-4365) - (-12)\/(-30). Let s = q - -1712\/14841. Let z = -1 - -1.1. Which is the nearest to 1?  (a) s  (b) z  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/440 and 73\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1076736 divided by 16824.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -5*u**2\/2 - 1. Let k(l) = 275 - 43*l**2 - 275 + 42*l**2. Give k(r(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1.4, 2\/11017 in descending order.\nAnswer: 1.4, 0.1, 2\/11017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 73053?\nAnswer: 4\/73053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/((3\/4)\/3). Suppose -5*q - p = -4*i, 14 = 2*i + q - 2. Let v(b) = b**3 - 5*b**2 - 8*b + 8. Determine v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s + 1. Let t(f) be the third derivative of -f**4\/6 - f**3\/6 - 21*f**2. Suppose 0 = -0*x + x + 5. Give x*m(h) - 4*t(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -286a551?\nAnswer: 286a552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 2, c: 1, w: 1, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*j**3 - j**3 + 0*j**3)*(0*j + j - 2*j) as s*j**2 + u*j + g*j**3 + i + f*j**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 5*p + 1939 = 1955, -a + 2*p + 6 = 0. Let q be (-8)\/(-11)*6\/(-8). Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -22*f + 1635. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.417832 + 0.5?\nAnswer: 0.917832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 53, 1540.\nAnswer: 12, 53, 1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -54*f**2 - 368940*f - 1890510050\/3.\nAnswer: -2*(9*f + 30745)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2338231 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17558548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -391969 plus 380595?\nAnswer: -11374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, -2, 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*c**2 + 23*c**2 - 10*c**2)*(-1 + 6*c**2 + 4 + 2*c**2) as r*c**3 + d*c + t + q*c**4 + g*c**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41145969?\nAnswer: 3, 43, 467, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86637 and 225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -7748*-0.6\nAnswer: 4648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4\/n)**(-29)\/(n\/n**(-4\/7)*n*n**(-1\/11)) assuming n is positive.\nAnswer: n**(-6890\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, y: 1, p: 2, a: 4}. Give prob of sequence np.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -76690, -76821, -77040, -77347?\n\"Answer: -44*x**2 + x - 76647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237172?\nAnswer: 2, 13, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*y - 28 = 60*y + 7*v, 0 = 5*y - 4*v + 39. Suppose -16 = -3*m - m. Let a(h) = -6*h - 5. Let x(j) = -12*j - 9. Calculate m*x(b) + y*a(b).\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -317 + 29?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - -6) + -2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266880 divided by 320.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 9*q + 8*q**2 + 0 + 3 - 2*q**3 + 5 + q**3. Let y be z(9). Let i(o) = o + 23. What is the tens digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172924 = -2463*f - 918*f + 265*f - 1970*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*f - 2, -34 + 47 = -2*b + 3*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + 2*-1)\/(7\/28). Suppose -n*c = 0, -2*s + 6*s + 3*c = 0. Let t(k) be the third derivative of k**4\/24 + k**3\/3 - k**2. What is t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**5\/30 - 18*s**2. Let q(d) = -d**2. What is q(w(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -1\/6*c**3 + 0*c**4 - 2*c + 15\/2*c**2 + 0*c**5 + 22\/15*c**6 - 39. Find the second derivative of v(u) wrt u.\nAnswer: 528*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 240 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from igugugguiigiuug. What is prob of picking 3 i and 1 u?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 3*n + 58*w - 55*w, 6*n = -0*w - 5*w - 43 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 118 = 32. Is 3 a factor of (40\/c - 16\/3)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 9*y**2 - 3*y + 3. Let h be k(5). What is the greatest common factor of h and 3476?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 24 - 5)*(-t + 0*t + 4*t)*(2 - 7 + 2).\nAnswer: 207*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -125.03 - -125.16. Let h = 2.94 - -0.06. Put h, x, -1\/10 in increasing order.\nAnswer: -1\/10, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23.9?  (a) -5  (b) 49  (c) 0.1  (d) -0.2  (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 9361 - 2376. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p + 2*p - 3*p)*(-3 + 2 + 3) + (2*p + p - 4*p)*(-1 + 2 - 3) - 19*p + 37*p - 65*p to t + w*p and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 8*u - 45 - 221 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 420889238 and 2409.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 12 - 17 = 0. Let g(w) = 4 + 0 - 3 + 48*w**2. Let x be g(f). Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11298 - 11297.8. Let d = -0.3 - 0. What is the smallest value in d, i, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1532 is divided by 1530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -1232*y + 96009 - 96009 in the form p*y + b and give p.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2521 - 1334. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/102 + 6\/(-272)*-11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 80\/12 + (-14)\/21. Let h(q) = -q + 14. Let d be h(10). Suppose -d*o = 2*j - 18, -4*o + r = j - 9. Solve o*x - 4*x = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13272 and 784.\nAnswer: 185808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33976 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 3)*(-18)\/27 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 499 = 5*o + 4*b, -5*o = b - 3*b - 523. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 405 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4814 + -4a2?\nAnswer: -4cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k**2 + 0*k**2 + 2*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-6))\/((-4)\/(-6)). Let q = 0 - k. Let i = 1 + -3. Which is the nearest to 0?  (a) 0.5  (b) q  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.8 less than -10915.6?\nAnswer: -10867.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20591 and -0.054.\nAnswer: 1111.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 580938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9144 or -9138?\nAnswer: -9138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 10) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*k + 146 = s, -3*k + 383 = -5*s. Let m = 242 + s. Suppose m = 4*x - 201. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f**2 - 9*f - 1365. Let m(a) = -5*a + 68. Calculate y(m(l)).\nAnswer: -75*l**2 + 2085*l - 15849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 0*d + 2*d)*(1 - 3 + 3 + (-2 + 2 - 2)*(3 + 1 - 2) + 1 - 1 + 3 + 1 + 3 - 5).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.13, 17, 0.1, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -5. Suppose -4*i + z*i = -6. Solve -i*c - 6 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 801089 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - 7 - 23) + 41\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.126 + 0.874. Which is smaller: -197 or i?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4645 is divided by 522?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4116 + -3990. What is the greatest common divisor of 476 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 8:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(9\/2)*b*b*(b*b**(-1))\/b*(b*(b*b**(-2\/5))\/b)**39 assuming b is positive.\nAnswer: b**(289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.02  (b) -1  (c) 2  (d) -54747  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59018 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60764529 and 606?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -302, -4, 1 in ascending order.\nAnswer: -302, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**3\/3 - c**2\/2 - 3*c - 7. Let s(x) be the first derivative of w(x). Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5853092941 to the power of 1\/2, to the nearest integer?\nAnswer: 76506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**5\/15 + l**2 - 25. Let k(j) = -8*j**2. What is k(u(f))?\nAnswer: -128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 10402080 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**3 - 2*a**2 - 3*a**3 - a**4 - 4*a + 3*a to the form o + z*a**3 + q*a + c*a**4 + j*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29\/108 + 5\/27. Which is the third smallest value?  (a) 3\/5  (b) 2  (c) f  (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/58*14*(8\/(-4))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/2)\/(6 + -3). Let n = -1089\/5 + 217. Which is the nearest to 2\/7?  (a) t  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -419*m**5\/30 + 11*m**4\/3 + 405*m**2 - m. What is the second derivative of u(s) wrt s?\nAnswer: -1676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xccxcxccxaxxxccxcxxx. What is prob of picking 3 x and 1 c?\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (54\/(-810))\/((-9)\/150) - (-8)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -1\/2  (c) 19  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = n + 2*t, -5*n + 4*t - 22 - 30 = 0. Suppose -3*q + 3*r = -21, -2*q = -5*q - 4*r + 7. What is the remainder when (51\/(-12))\/(n\/32) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**4\/24 + p**3\/6 + 2*p**2. Let l = -521 + 520. What is k(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 67456, 71808, 79062, 89218, 102276, 118236?\n\"Answer: 1451*u**2 - u + 66006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (3 + -31 - -42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**5\/9 - 5848*i**4\/9 - 93182*i**3\/9 - 40712*i**2 = 0.\nAnswer: -2908, -9, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) 0.5  (c) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -9*g**4\/2 - 5*g**3\/3 - 10*g**2 + 3*g - 46. Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -35  (b) -0.3  (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (84*i**3 - 313*i**3 + 109*i**3)*(-5 + 5 - 2*i).\nAnswer: 240*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, -2, -65859, 47, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*o - 3*x, -3*x + 0 = -5*o + 31. Let g be -2 - 1 - -1 - o. Let h = 16 + g. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 278.7 and 2040.56296.\nAnswer: 2319.26296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 16*r + 4. Calculate x(-5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 5*u = 10*q + 29, 0 = u + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 112 = -2*l, -2*l = 3*y + 89 + 78. Is y equal to -107\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*n + 37*n = 31 + 579 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -6*n**2. Suppose 5*d + 39 = 2*b, 2 = b - d - 10. Let l(c) = 14*c + b*c**2 - 5*c**2 - 14*c. Give l(h(w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r - 142*r - 115*r - 15232 = -44*r for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 18567, 18321, 18075, 17829, 17583?\n\"Answer: -246*o + 18813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - 16. Solve j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482158119?\nAnswer: 3, 53, 3032441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13062 and 14.\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.874951l to millilitres.\nAnswer: 874.951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 39. Let u = -11 + f. Suppose u*s + 10 = 62. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(3300) - sqrt(3300)*3) + sqrt(3300)))\/(-5*sqrt(108)*5).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -71421463*z**4 - 4*z - 9720977?\nAnswer: -857057556*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.209 times 46?\nAnswer: -147.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 6*g + 1. Let r be i(5). Let u = r - -2. Is -2 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 11*y**3 + 78*y**2 - 7*y + 4. Let q be j(-7). Let m(z) = 2*z + 7. Let u be m(6). Suppose u*f - q = -919. Is -43 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of -28*d**2 + 8\/15*d**5 + 0*d**4 + 0*d**3 + 0*d**7 + 1\/28*d**8 + 0*d + 0*d**6 + 0. Find the third derivative of x(c) wrt c.\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -683595 divided by -3?\nAnswer: 227865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*i - 18, -7*s = 4*i - 3*s. Let h = 659 - 65. What is the third derivative of -31*j**4 - h + 594 + 26*j**i wrt j?\nAnswer: -744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -552, -889, -1232, -1581, -1936?\n\"Answer: -3*s**2 - 328*s - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1127\/4 - 6\/(-24)*1. Let h = a - 154. Let i = 200 - h. Calculate the remainder when i is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s + 30 = 26*s. Suppose -j + 0*j + 9 = 0. What is the remainder when j is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of o**2 - o + 2. List the prime factors of h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 189 and 145746?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 187 and 58157.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55219 is divided by 502?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1531527162 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-1) - (0 + 35\/5). Which is smaller: 1\/210 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -9. What is the common denominator of (-85)\/(-20)*(-1)\/a and (-1)\/5*(-25)\/(-18)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - -18 - (18 + (60 - 28))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2. Let s be 44\/(-11)*5*-6. Let t(l) = -140*l**2. Determine s*y(g) - t(g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -166178521377 and 74.\nAnswer: -166178521303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 301 a factor of 15235416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -11001010110101111001111000?\nAnswer: 11001010110101111001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -192910?\nAnswer: 19290a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-19) + (1 - 2) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6663.653nm?\nAnswer: 6.663653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 197794360 rounded to the nearest one million?\nAnswer: 198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + 48\/(-3) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 1720*i**3 - 317560*i + 4176*i**2 + 100*i**4 + 80 + 313368*i + 816 = 0. Calculate i.\nAnswer: -14, -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*r**2\/2 - 670883*r\/2 - 129015.\nAnswer: -(r + 51606)*(13*r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 u, and 1 h when four letters picked without replacement from cciqciqcciuhucuuhh?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.084 - 0.053. Let m = s + -0.02. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18186557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*i + 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 391 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q + 8. Let g be f(-6). Suppose 203*w - 98 = -28*s + 206*w, 3*s + 64 = -5*w. Solve -d - 2*d = g*t + 19, 0 = -s*d + 4*t - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 5*k + 15 + 8, 5*k = -3*o + 11. Let p = 0 + -0.1. Let z = p + -0.1. What is the closest to z in -4, o, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 4:54 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 17*y**2 + 31*y + 14. Let w be h(-15). Let k be (0\/w)\/(-4 - (-6 - -4)). Solve 8*r = -k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of o**6\/120 + o**5\/30 - o**4\/6 + 7*o**3\/6 - 29*o**2 - 11. What is p(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/2907 and -41\/2793.\nAnswer: 142443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12499.44149 rounded to 0 decimal places?\nAnswer: 12499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 44*(9\/4 - 1). Let j(w) = w + 10. Let x be j(12). What is the highest common factor of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 236)\/((-11)\/22). Let t = -201 - o. List the prime factors of t.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 15 + -3 + -4 + -1 + (-85 - -5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1193889, -2387768, -3581647?\n\"Answer: -1193879*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 118 in 2, 4, 1\/185, -8\/7, -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 5:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, l: 4, f: 5}. Give prob of picking 2 c and 2 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 12*s**3 + 2*s**4 - 18711*s + 15*s**2 + 18717*s + s**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103575 is divided by 192?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cchg when four letters picked without replacement from {c: 2, h: 1, k: 1, g: 1, d: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**2\/11 + 1906*j\/11 + 191292\/11 = 0?\nAnswer: -839, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -1. Let p(r) = -3*r**3 - r**2 + 1. Let l(u) = 2*d(u) + p(u). Let z = 3 - 5. Let g be l(z). Calculate the greatest common divisor of 133 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.3181124 minutes?\nAnswer: 19086744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of 5*t**8\/336 - 103*t**7\/42 + 295*t**6\/12 - 385*t**5\/6 - 985*t**4\/8 + 1455*t**3\/2 + 9329*t**2. Suppose a(o) = 0. What is o?\nAnswer: -1, 1, 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 963\/(-535)*(-15)\/(-9). Sort t, 17, 44 in decreasing order.\nAnswer: 44, 17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, r: 4, a: 2, c: 1, u: 5}. What is prob of picking 3 r and 1 b?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 5*q - 300, 2*q - 272 = -4*d + 6*q. Suppose -35 = -9*y + d. Solve -15 = -3*l, -u - 4*l + y + 14 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - -659 - 6) + (-4 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 3:38 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, r: 11, a: 1}. Give prob of picking 1 a and 2 q.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -306*s - 26712 = -330*s. List the prime factors of s.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x + 16*x**2 + 2*x - 13*x**2 - 6*x + 72*x**2 + (3 + 3 - 4)*(x**2 + 5*x**2 - 8*x**2).\nAnswer: 71*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.9 - -4.1. Let p = q + -8.4. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**3 - 3652672*v**2 + 3335499532221*v + 6671013675138 = 0. Calculate v.\nAnswer: -2, 1826337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/227289645 and -7\/15650.\nAnswer: 2272896450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1210) + sqrt(10))\/(sqrt(2) + sqrt(250)\/sqrt(5)).\nAnswer: 23*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -27. Suppose -2*j + 0*j + 38 = -2*i, 4*i - 64 = -3*j. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 1. Let l be q\/1 - 2*-1. Let j be (-31)\/(-7) + (-6 - -2). What is the third biggest value in j, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 5223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1. Let s(j) = 8. Let r(y) = 10*q(y) - s(y). Let g(z) = 2*z + 4. Give -2*g(h) + 4*r(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 102440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (-715)\/(-2) - ((-3)\/2 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/34 and -37\/996968?\nAnswer: 16948456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x = 12459 - 3639. What is the remainder when x is divided by 194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 222112010022?\nAnswer: -222112010032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**3 + 20*l**2 - 1566*l - 3202. What is r(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*q + 164*q = -q - 4536 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*m*q**4 - 3*m*q**3 - m*q**2 - 7*m + 63*q**4 - 4*q**3 - 9*q**2 + 26*q wrt q.\nAnswer: -48*m*q - 18*m + 1512*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 963050 divided by -18.\nAnswer: -481525\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 3*c - 2*i, 0*i = -3*c + 3*i + 75. Let x = 22 - c. Which is greater: -1\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/20  (b) 2\/9  (c) -3  (d) 33  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4375*f - 286*f + 2 + 1 - 385*f - 1 to the form q + c*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 4 + 6 + 2 + 30*w + 2*w**3 in the form p*w**3 + a*w**2 + b*w + y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/189  (b) 3\/4  (c) -0.2  (d) 2  (e) 0.001  (f) 3\/2  (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(6940\/174888)\/(-3 - (-14)\/3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -684800695*m**3 - 4679063*m**2 - 27.\nAnswer: -4108804170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 13*f + 6. Let q be c(6). Let y = -178\/5 - q. Let z = -74\/9 + 139\/18. What is the second biggest value in z, y, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 281*s**2 - 7*s - 35. Let v(p) = 281*p**2 - 8*p - 41. Determine -6*v(i) + 7*z(i).\nAnswer: 281*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001975 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*n - 42 = 4*g - 257*n, -g - 20 = -4*n for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 k, and 2 j when four letters picked without replacement from eegekekkgekegejjjjk?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -13651*f - 475. What is z(0)?\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 35*s**2 - 104*s**2 + 34*s**2 + 34*s**2. Let n(w) = -4*w**2. Let j(p) = -3*a(p) + n(p). Calculate j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -144554, -289117, -433688, -578267, -722854?\n\"Answer: -4*q**2 - 144551*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/3872 and 113\/224.\nAnswer: 27104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (37\/((-1406)\/(-57)))\/((-3)\/48*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 0 + 27\/2*v**4 + 81*v**3 + 3\/4*v**5 + 162*v**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 40*m - 57. Let u be p(11). Let b = 511 - u. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**3 - 14*l**2 + 29*l. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 2d5?\nAnswer: -2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 35688090 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: What is the highest common divisor of 291 and 3589?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 58*f + 212. Let j(m) = 3*m - 2 + 2. Give j(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -234935 divided by 3.\nAnswer: -234935\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -43443 not equal to -43446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 14.73337\nAnswer: 4.420011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(36)\/sqrt(3)*-5 + sqrt(33)\/((sqrt(11) - sqrt(11)*2)*-5))**2.\nAnswer: 7128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -556860 from 0.1.\nAnswer: 556860.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8940 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 824 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11773513 to the power of 1\/2, to the nearest integer?\nAnswer: 3431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of o**6\/120 + o**5\/10 + 4*o**3\/3 - 2*o**2. Let l be q(-6). Solve -m - m = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 3, 2506, -3\/8, -0.2, -146 in decreasing order.\nAnswer: 2506, 3, -0.2, -3\/8, -21, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*p - 24, -3*l + 0*l = 5*p - 24. Suppose p*g - 36 = -5*k, -4*k + 2*g + 45 = -g. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {c: 5, e: 6, h: 5, b: 2, u: 1, m: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 3807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 10, -4\/13, 1, -3 in decreasing order.\nAnswer: 10, 6, 1, -4\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 54*t**3 - 3*t**2 - 15*t + 167. Is n(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 144 - 233324143?\nAnswer: -233323444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10012211201 (base 3) in base 4?\nAnswer: 33131023","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157 - j**2 + 44568*j + 2032*j + 153.\nAnswer: -j**2 + 46600*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -2*w + 15, 22*g - 4*w - 157 = -27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -104061 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/(-429)*-143*2\/(-26)*31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.65, 1, -7\/4?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38759*b**4 - 2*b**3 - 87698*b**2 wrt b.\nAnswer: -930216*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 12:41 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 3 + 3 + 2 - 4 + 0 + 1 + 0 + 2 + 1 - 2 + (-2 + 2 - 2)*(3 - 5 + 4) + 2 + 8 + 1)*(0 + 0 - z) to y*z + k and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 27. Let j = u + -15.999851. Round j to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.879 - -0.121. Let m be 3\/(-4)*2\/3. What is the smallest value in 2\/9, k, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 17. Let r = -3 - w. Suppose r - 2 = o. Solve 2*n + 4 = o*n - 5*d, -6 = 3*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 17 - 3*s + 8 + 13 + 10 - 55. Determine k(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 9 - 5 + u)*(0 - 1 + 4 + 3 - 1 - 4 + 7 - 2 - 3 + (-5 + 3 + 4)*(-2 + 4 - 1) - 5 + 1 + 2 + 0 + 3 - 4 + 3 - 1 - 3).\nAnswer: u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0998 + -0.2002. What is the second biggest value in 0.129, 4, l?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39009 + 39011. Let r(z) = -13*z**3 + 10*z**2 - 7*z - 3. Let m(k) = -4*k**3 + 3*k**2 - 2*k - 1. Let y(c) = -7*m(c) + 2*r(c). Give y(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 3*w**2 + 9*w - 2*w + 9 - 40 - 13.\nAnswer: -3*w**2 + 7*w - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + 8)*(-15)\/12. Let r(d) = d**2 + 3*d - 4. Calculate r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 163268178 to the nearest integer?\nAnswer: 12778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 827267 and -2742?\nAnswer: 830009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1713 + 2002. Calculate the remainder when o is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/10 + 306\/45. Suppose -c*v - 81 = -16*v. Suppose -3*n + v = -2*z, -15 = 4*z + n - 4. Let y(l) = -3*l + 2. Give y(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 324647\/63 or 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 3878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 131024*l. Let h(k) = 1763*k. Give c(h(i)).\nAnswer: 3108169*i**2 + 230995312*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 8 = -4*i, 5*b + 182*i - 178*i = 40 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 537439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1 + sqrt(832))**2 - (4 + sqrt(13) + 0 + 1).\nAnswer: -33*sqrt(13) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12005 by -3610.\nAnswer: -2401\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16734 and 1238316?\nAnswer: 1238316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 449, 436, 407, 356, 277, 164, 11?\n\"Answer: -i**3 - 2*i**2 + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 52\/5 of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 292563201 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*((u\/(u\/(u\/u**(-1\/2))*u*u*u))\/u)\/u)\/(u*u**(5\/6))*(u\/(u\/(u*u**0)*u))**(-1\/11) assuming u is positive.\nAnswer: u**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 118831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {y: 1, e: 1, t: 1, s: 6, l: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**4 + w**2 - w + 0 + 2 - 5 to the form s*w**3 + d*w**2 + g*w**4 + o*w + y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -16575640 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -61. Let p = h + -36. What is the greatest common divisor of p and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2008349, 2008374, 2008423, 2008496?\n\"Answer: 12*v**2 - 11*v + 2008348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 13*h**2 + 3*h + 15. Let u be j(-13). Let m = -25 - u. Let v = -6 + m. Which is smaller: -28\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2 + 3*x + 1. Suppose 0 = -i + 4*y + 4, -2*y - 3*y = -5*i + 5. Suppose 3*c + 2*c + 10 = i. What is q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*i + 7151 = -2063 + 2659. Calculate the highest common divisor of i and 1178.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2456 - 1372. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 18*u**2 + 40*u + 1164. List the prime factors of x(44).\nAnswer: 2, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.06498 and 4.\nAnswer: -4.25992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4255066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35812895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.5876333929111406 - -490446458.3322321859111406. Let s = 490446443 - l. Let z = s + -0.2554. What is z rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -14.7. Which is the second smallest value?  (a) q  (b) 2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (0 - 1 - (-125 - -132)) + 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 - -36. Let u be (-6)\/24 + (5\/(-4))\/i. Let q = 0.4 - 0.2. Which is the closest to q?  (a) 3  (b) u  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 2\/47, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -267*f**3*g*w + 2*f**3*g + 8*f**3*w - 78*f**3 + 57*f**2*g*w + 46*f**2 - 3*f*w + 67*g*w - 2 wrt f.\nAnswer: -1602*g*w + 12*g + 48*w - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10*156\/(-260))\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**2 + 14*a - 4. Let q(s) = s**2 + 3*s - 1. Let j(m) = 4*q(m) - r(m). Let f(c) = 6 - 2*c**2 + 5 - 11. Determine f(j(t)).\nAnswer: -98*t**4 + 56*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**2 - 4*f**2 + f**2)*(3*f**3 + 462 + 498 - 962 + 10*f**2).\nAnswer: 3*f**5 + 10*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {f: 13, i: 2, y: 5}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12 - 0*(-5)\/20. List the prime factors of ((-57)\/6)\/((c\/64)\/(-3)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 271678786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*c*u*w**2 + 104*c*u*w - u*w**2 - 488*u wrt c.\nAnswer: -3*u*w**2 + 104*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1910*d + 5346 + 1997 - 333 + 2540. Factor 28 - 64\/7*f**4 + 268\/7*f**2 - 68*f - 16\/7*f**d + 92\/7*f**3.\nAnswer: -4*(f - 1)**3*(2*f + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2 - 2*t. Let x be -2 - 12\/(-7 + 3). Suppose -x = 4*w + 15. Calculate the remainder when y(w) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**4\/24 - 12*o**2. Let f(c) = -15*c**2 - 3. Give d(f(m)).\nAnswer: -15*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 10*k**2 - 11. Let w be h(-10). Let n = -9 - w. What is the biggest value in n, 0, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 12:09 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4054, -4050, -4044, -4036, -4026, -4014, -4000?\n\"Answer: f**2 + f - 4056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (1 + 12 + -12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(936)*-3)\/(sqrt(32)*2)*1.\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 1 = 4*x - 1, -4*d = -3*x - 4. Let m(w) = 11*w**3 + w + w + 9 - 8 - 4*w. Determine m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -3) + 3 + -4 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 145*x + 62. What is the remainder when q(1) is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*t + 381, 3*r = -7*t + 2*t + 569. Let d = 666 + r. List the prime factors of d.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -671, -5208, -17501, -41420, -80835, -139616, -221633?\n\"Answer: -645*v**3 - 8*v**2 + 2*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2333*o + 1034*o**2 - 106580 - 515*o**2 - 524*o**2 - 873*o = 0?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 390 and 6621940.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -581, -1\/2, 178, -1\/3, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5*u - 290, -2*u - u - 286 = -5*i. Let m = i + -45. Solve 0 = -d + 5*n - m, d - 3*n = 4*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 49740, 3.9 in ascending order.\nAnswer: -1, 3.9, 49740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 11 = -13. Suppose d*o - 7*o + 30 = 0. Suppose 0 = -2*w + o*w + 1600000. What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) + sqrt(104) + (sqrt(104) - sqrt(104)*2))\/sqrt(8)*-4.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 6*m - 10*m. Let z be 6\/((6\/20)\/(m\/35)). Solve 4*b = -3*s + 3, 4 + 19 = -b + z*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60788340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*z + 5*w = -1620, 0 = 5*w - 15. Let r = z - -607. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -47130235 (base 8) to base 5.\nAnswer: -10112100304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4762*b**6 + 11*b**3 + 79616*b**2.\nAnswer: -571440*b**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3686 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 12:45 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-5)\/v)\/v)\/v)\/v)\/(v*(v*v\/(v*v*v*v*v\/(v*v**(-1\/4))*v))\/v)*v\/v**(-5)*v*v\/v**(-3) assuming v is positive.\nAnswer: v**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2 - 6*i - 2*i + 12*i - 5*i. Give u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1300351 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-1 + sqrt(80) + -1 + sqrt(80) + (sqrt(80) - ((sqrt(80) - (-1 + sqrt(80))) + 2)))**2 - (1*(1*sqrt(80))**2*-6 + -2).\nAnswer: -120*sqrt(5) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2143 + 6562 + 3600 - 1188 + 6765 + 3558)*(0*d**4 + 3*d**4 + 0*d**4).\nAnswer: 51462*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-26) - (-48)\/832*-7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 - 8*u**2 + 7*u - 7. Let v be f(-5). Suppose -v*j - 1440 = -12*j. What is the highest common factor of j and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 46 + 19)*(3*m + m - m)*(5*m - 8 + 8).\nAnswer: 960*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4421105 and 2210?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50.2 - -54.94. Let j = l - 4.34. Which is the closest to 0.3?  (a) j  (b) -0.3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**3 - 14280*f**2 - 568222*f - 1576200 = 0?\nAnswer: -7100, -37, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + d**2 + 2*d**2 + (4 - 3*d - 4)*(-6*d + 4*d + 0*d) + (-2*d + 0*d + d)*(12*d + 14*d - 21*d) - 3*d + 2*d**2 + 3*d + 0*d**2 + 3*d**2 - 2*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 735549960?\nAnswer: 2, 3, 5, 6129583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + (19 - (1 + 6)). Let f(s) = -s**3 + 14*s**2 + 38*s + 3. Calculate the remainder when f(a) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 11  (b) 0.4  (c) -16.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1508287001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 786 a factor of 19839426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from afkckcaacck. Give prob of sequence ccf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 398 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 7*s + 25. Calculate m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -713*s**2 + 1 - 39*s + 71*s - 32*s - 578*s**2 as l*s + m + i*s**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 3*i + 2. Let j = 51 + -22. Suppose 4*h = 109 - j. Calculate the lowest common multiple of t(-6) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*q = -0*q - 804, 2*q = -2. Let y = b + -235. What is the greatest common divisor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**2*v*x**3 + 2*f**2*v*x**2 + 2*f**2*v - 57*f**2*x**3 + 4*f**2*x**2 wrt x?\nAnswer: 6*f**2*v - 342*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165, 367, 571, 771, 961?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -101498 divided by 1?\nAnswer: -101498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41776025 and 5?\nAnswer: 41776025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t + 61 - 16 - 29 + 11*t.\nAnswer: -2*t + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 909804600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 92840888 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: Collect the terms in 3896*a - 1954*a - 1957*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30125 - -456363624\/15149. Does -1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 2*r - 104. Suppose 4*g - r - 68 = 0. Suppose i - 2*i = -g. What is the greatest common divisor of i and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*b + 8 - 8)*(2 - 5 + 4) - 47*b - 108*b + 78*b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-6)*t**(2\/17)*t**(-2)*(t**(1\/5)\/t)\/t assuming t is positive.\nAnswer: t**(-823\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -3. Let i = 18 + -18.1. Which is the biggest value?  (a) t  (b) -5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -463215600*u**5 + u + 17633481 wrt u.\nAnswer: -9264312000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 5. Let a = 4.3 - c. What is the third biggest value in a, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - h = 12, -7*x + 3*x + 5*h = -5. Let i(s) = -4 + s**2 - 4*s + 10 - 3. Give i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26?  (a) 3  (b) 38  (c) 7\/4  (d) -0.05  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (9310 + -9267 - (2 + -11 + 2 + -2)) + 0\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 779434493*q**6 + 3*q**2 + 194*q - 482369?\nAnswer: 93532139160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82, -214, -330, -424, -490, -522, -514, -460?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -4. Calculate the least common multiple of n and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**3)**(1\/25))**(-47)\/(b*b*b**(-1\/6)*b*b*b*(b\/((b**5\/b)\/b))\/b)**(-20) assuming b is positive.\nAnswer: b**(2327\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9340607 is divided by 520?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 139411*a**3*s**2 + 138922*a**3 - 8*a**2*s**3 - a**2*s + 2*s**3 + 1 wrt s?\nAnswer: 278822*a**3 - 48*a**2*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o*(o*o*o**40)\/o*o*o*o**(-1)*o**(-7)\/o**(1\/38) assuming o is positive.\nAnswer: o**(1405\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 3*c)*(2*c**3 + 0*c**3 + 0*c**3 + (-3 - 3 + 4)*(2*c - c**3 - 2*c) + 923*c**3 + 1131*c**3 - 955*c**3).\nAnswer: 3309*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 3*p - 2*b, 4*p = 8*p - 2*b - 48. Sort -2, -3, p, 5.\nAnswer: -3, -2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 21340888?\nAnswer: 5\/10670444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272)*6 + -6*sqrt(34)\/sqrt(2))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100202 - 11?\nAnswer: -100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65305, 261265, 587835, 1044991, 1632709, 2350965, 3199735, 4178995?\nAnswer: 5288721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/19 + 4176*d**2\/19 + 604854*d\/19 + 21195972\/19.\nAnswer: -2*(d - 2226)*(d + 69)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 27*w - 26*w - 46, 2*w = 5*j - 95. Let o(p) = -26*p**3 - 3*p**2 - 23. Let b(u) = 9*u**3 + u**2 + 8. Give j*b(x) + 6*o(x).\nAnswer: -3*x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 2. Solve 4*m + 21 = x, -x + 2*m = -f - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5 - (-9)\/(-3)) + -10. Let f = 12 + p. Calculate the least common multiple of f and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6) - 58\/(-6). Suppose w - f = 3*w. Let p be 2\/10 - ((-84)\/35)\/3. Sort -4, p, w in ascending order.\nAnswer: w, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*n**2 - 55*n**2 + 8*n + 6*n - 35*n**2 - 16*n.\nAnswer: -98*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/12, 13, 0.9, -1, 0.09?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 124, 14, -278, -842, -1768, -3146?\n\"Answer: -15*x**3 - x**2 - 2*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + r = -22, 5*v = 3*v - 3*r. Suppose 0 = 2*z - v*z + 8. Let h be (6 - z - 3) + 1. Solve -4 = 2*l + h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3823568448775 minus 0.2?\nAnswer: -3823568448775.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 115 - 574\/5. Which is the third smallest value?  (a) 5  (b) -0.4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + g**2 - 2*g + 0 + 11)*(g**3 - 3*g**3 + 0*g**3) + 2*g**2 - 2*g**2 + 9*g**5.\nAnswer: 7*g**5 + 4*g**4 - 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3*sqrt(7)*-1 + 3)**2.\nAnswer: -144 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - -2)\/((-4)\/20). Let t be ((-2331)\/(-15))\/3 - 3\/z. Suppose -51*w + t*w = 30. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/7)\/(q\/q**(-11)))\/((q*q**(-14))\/q**(-25\/4)))**(-15\/7) assuming q is positive.\nAnswer: q**(2325\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 2*v + 0*v**2 + 2\/3*v**3 + 0 - 1\/12*v**4. Suppose -2*k + 17 = -3*c, -1 = 2*k + 4*c + 3. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83 minus 144.32115?\nAnswer: -227.32115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -6*k + 26. Let n(d) = 2*d - 10. Determine u(n(f)).\nAnswer: -12*f + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -182532630*f*u**2 - 93770002*u**2 with respect to f.\nAnswer: -182532630*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 653078071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 540775*w = 540831*w + 280 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7519 = -110*i - 2789 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -146 - 58. Let h = -48 - q. Which is smaller: 21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 224\/(-4) + -3 + -1. Find the common denominator of (17\/(4165\/14))\/(4\/(-485)) and -1 + (-5)\/(h\/(-81)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jorrmrrgrgrgr. What is prob of picking 1 r, 1 m, and 1 g?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 13368550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 - -46. Suppose -30 + 10 = -c*t. Solve 0 = -14*a + 13*a + t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 992 is divided by 323?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 535*w - 541*w = -36 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 94\/30 - 450\/3375. Solve -12 = 5*c - 67*z + 68*z, -z + y = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 820\/2919 - -2\/417. Which is the third smallest value?  (a) n  (b) 4  (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3858 - 2933. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 1)\/(2\/37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.132963 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1938 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) 4  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 19313, 18298, 15533, 10142, 1249, -12022, -30547, -55202?\n\"Answer: -146*c**3 + c**2 + 4*c + 19454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -707, -1558, -2561, -3722, -5047, -6542, -8213, -10066?\n\"Answer: -v**3 - 70*v**2 - 634*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 4*j - 20. Let z be -1 - 0 - (j + 0). Is -10 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135666083 is divided by 95.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10664 - 11.2.\nAnswer: 10652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**3 - 2*s**3 + 5*s**3)*(-2*s**2 + 23*s - 8763 + 8763 + s**2).\nAnswer: s**5 - 23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/1853285 and 37\/211804?\nAnswer: 7413140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 6*s**2 + 3*s. Suppose 0 = 3*z - 0*z + 12. Determine x(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*r - 11*r - 18*r)*(-3 + 3 + 1).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 6*n**2 + 4*n. Suppose -5 = 2*m - 3*m. Let i be q(m). Let b = 28 + i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 807 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 7*v**2 + 10*v - 7. Let j be f(-5). Let o be (-2460)\/(-355) - (0 - j). Is o >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162 + 298 + 5637*f**3 - 136.\nAnswer: 5637*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.319 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2752522 or -27525223\/10?\nAnswer: -27525223\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9004735 to the power of 1\/2, to the nearest integer?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 26*y**2 + 7*y + 7. Suppose -3*u - 20 + 11 = 0. Let v be l(u). What is the highest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5492907.027 rounded to the nearest ten thousand?\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 7*i**2 + i + 6. Calculate p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -u - 4*z, -4*u + 5*u + z = -5. Let x be (3 + (-10)\/4)*u. Let g = -11\/20 - -4\/5. Do x and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 6*x**2 - 69*x - 233. What is s(-6)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {d: 1, m: 1, j: 4, k: 1, r: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 3*d = -582796, -2*i + 3*d = -28128 - 88424. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2 + 48*n - 103. Let q be m(27). Let y be (-9 + q\/(-10))*(-2 - -4). Solve 4*z + 5 = 5*t, 7*z = 3*z - 3*t + y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 1314*b**2 - 136*b - 558. Let i be g(-4). Round i to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7774*m**3 - 3 - 1081*m**5 + 36*m + 3890*m**3 + 3884*m**3 wrt m.\nAnswer: -21620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4061880 by 338490.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7944, -15856, -23780, -31722, -39688, -47684, -55716?\n\"Answer: -h**3 - 7905*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 + 15*t - 47. Let a be d(-10). Solve 5*v - 6 = a*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5923 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6856184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 11*o. Let z(v) = -v. Calculate -g(a) - 22*z(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 17. Let t(c) = 3*c + 6*c - u*c. Let f(k) = -k**2. Calculate f(t(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/28)\/(((-44)\/2608)\/(-11)). Let w = k - 210. Which is the closest to 21?  (a) 0.5  (b) -2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**5 - q**5 - q**5 + (303*q - 237*q + 356*q)*(-3*q**4 + 2*q**4 + 3*q**4).\nAnswer: 846*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -96*n + 1036. Let j be g(7). Calculate the highest common factor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.064 and -0.8.\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 143*r**2. Let y(c) = -4*c. What is y(n(h))?\nAnswer: -572*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -715160?\nAnswer: 1\/357580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 444700 and 5400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 19 - -22 - -6 - -1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -1 + (-5 + -4 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((51\/2)\/(-17))\/((-9)\/49866) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 9. Let s(t) = -t - 3. Let f be s(-6). Suppose 2 = f*b + 20. What is the units digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 0*t + 0*t**3 + 0*t**5 - 7\/15*t**6 + 0 - 147*t**2 - 35\/4*t**4. What is the second derivative of k(p) wrt p?\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -6*q**2 + 6*q. Let o(v) = 1107*v. Give o(h(z)).\nAnswer: -6642*z**2 + 6642*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20\/15)\/(6\/(-9)). Is 10 + -8 + y\/(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(0 + p**3 + 0) + 2*p**3 + p**3 - 2*p**3 + p - p + 2*p**3 - 44 - 36*p**3 + 44.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123722, 247388, 371054, 494720, 618386, 742052?\nAnswer: 865718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.2 - 2.9. Let c = -0.3 + v. Let i be 1309\/1122*((-114)\/(-63) - 2). What is the second biggest value in -14, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d - 6*d + 4*d)*(6 - 19 - 17) + 9*d + 2*d - 5*d in the form h*d + k and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3*v + 60. Let x = v + -7. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4150 + -4148. Let i(a) be the third derivative of 0 + 7*a**q + 0*a - 1\/24*a**4 + 0*a**3. Let d(l) = -2*l**2. Determine d(i(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d. Let k(x) be the first derivative of -x**4\/4 + 3*x - 3. Let n(f) be the first derivative of k(f). Calculate n(l(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2\/z*z)\/(z\/z**(-1)))\/(z**0)**18*((z**(-5\/6)\/z*z)\/(z*z\/((z**(2\/11)\/z)\/z)))**25 assuming z is positive.\nAnswer: z**(-7675\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*g = -1133, -p - 1103 = -4*p - 2*g. Suppose 12*t - p = 469. Let j = 82 - t. Solve 0 = -u - u + o - j, 0 = -4*u - 3*o - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -11\/6  (c) 7  (d) 25\/6  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 467232 is divided by 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -2*o + 7000004, -2*p + 13999996 = 4*o - 0*p. Round o to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14030, 3345, -7328, -17983, -28614, -39215?\n\"Answer: z**3 - 10692*z + 24721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.04  (b) 2.1  (c) 0.1  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -178020 by -215.\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**4 + 2*p**4 - 3*p**4)*(9*p + 24*p + 0*p).\nAnswer: -33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 104 = -4*o, 2*o - 4 - 2 = 0. Let h = n + -6. Let u = h + -12. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*d*r**5 + 5226*d*r**3 + 3*d - 24031*r wrt r.\nAnswer: -340*d*r**3 + 31356*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23670 (base 10) to base 9.\nAnswer: -35420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.2, 4\/25, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 0 + (-9 - (-28 - -13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 2*j + 4. Let w(b) = -j*b - 3 + 2*b - b. Let s(c) = -c - 1. Let f(p) = p**3 - 11*p**2 + 9*p + 7. Let h be f(10). Calculate h*s(x) + w(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 3 - x**3 - 1\/2*x**2 - 4*x + 1\/4*x**4. Determine w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.064 plus 4.093486648?\nAnswer: 4.029486648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 5*n. Suppose -2*v = -3*x, 5*x - 4*v = -6 + 4. Let b(m) = 2*m. What is x*k(t) + 5*b(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-20)\/15 - 70\/(-3). Suppose 5*d = j + 33. Suppose -5*v - p + 4 + d = 0, 5 = -5*v + 3*p. Solve 2*k - 8 = -g, 5*g = v*k - 5*k + 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5177*c**2 + 2860*c**2 - 1644*c**2 + c**2 - 2*c**2 + 2*c**2 + 6*c**2 - 3*c**2 - c**2 + (c - 3*c + 4*c)*(2*c - 2*c + 2*c).\nAnswer: 6400*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 875*x - 35. Let p(t) = 874*t - 45. Determine -5*f(l) + 4*p(l).\nAnswer: -879*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -327*i - 17*i**2 - 336*i + 994*i - 1 - 331*i. Calculate q(-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1573 - 789. Let m = k + -778. Solve m - 5 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 18. Let a(f) = -37*f - 148. Let d be a(-4). Solve -1 = n + 4*m - i, -5*n + m + 14 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - 2*a + 1. Let r be t(5). Suppose 4*x + 268 = -2*p + 278, -x + 19 = -5*p. Solve -d - 4*d = 3*z + r, -d + 6 = -x*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -5. Let o(r) = 11 + 0*r - 8*r - r**2 + v*r - 2*r. Let l be o(-11). Solve 0 = u - l + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160339?\nAnswer: 109, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2213 a factor of 309311948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -880*w - 579. What is the units digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 + 8)*(-3)\/(-6). Let t(q) = q**3 - q**2 - 2*q + 71. Determine t(d).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -396, -793, -1190, -1587, -1984, -2381?\nAnswer: -2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - 5 - (-105)\/9. Is n < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttg when three letters picked without replacement from {t: 4, g: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*w**2 - 4*w**2 + 15*w**2 + 2*w**2 - 2 + 2 + (3 - 3 - 2*w**2)*(-1 + 1 - 2) - w**2 + 2*w**2 + 0*w**2 + (3 + 1 - 3)*(-15 + 15 + w**2))*(-2 + 3 - 2).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 24 = -3*p, 3*c - 10 = 5*p - 48. Let w = c - -11. Find the second derivative of 2*x**5 - w*x + x - 3*x**5 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3914*a - 95571 = 637*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 750 is divided by 190.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*-1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65512 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 7*a. Let g be o(-6). Let q be (-3)\/(-4) - (-18)\/8. Suppose -q*u + 3 + g = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -3016?\nAnswer: -3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/5, -23\/6, -0.24, 2\/9?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 389*d + 17 + 438*d)*(1 - 3 + 4)*(5 - 1 - 3 + (-4 + 1 + 2)*(1 + 0 + 3)) as s*d + l and give s.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1039056317 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 1)\/(2\/(-42)). Let k = 373 - h. Suppose 3*w - k - 261 = -5*z, -3*w - 2*z + 625 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 11*v = -90. Suppose -x + v = -9. Suppose -220 = -g - 3*g. What is the remainder when g is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from {q: 2, z: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -7\/3, -1\/2, 1\/5 in decreasing order.\nAnswer: 1\/5, -1\/2, -3\/2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v + 1096. Let m be 8\/(-16)*4 - -5. Suppose -2*z + v + 108 = 2*r, -982 = -m*z - 5*r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2601026 (base 7) to base 16.\nAnswer: -52277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 + 113 = 65*q - 44 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1860.654 + -1858. What is u rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 360 and 30384?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*t**5 + 13758*t**4 - 163184*t wrt t.\nAnswer: 200*t**3 + 165096*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 times -1272?\nAnswer: 36888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19435454 to the power of 1\/2, to the nearest integer?\nAnswer: 4409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0372 plus -0.00622706137?\nAnswer: -0.04342706137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59 + (-65 - -18) + (1 - -2) + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 522 divide 707439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 24 = 13*a. Find the third derivative of 122*z**6 - 46*z**6 + 58*z**a - 268*z**2 + 95*z**6 wrt z.\nAnswer: 20520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -180?  (a) 29\/538  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146086 is divided by 139?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {o: 2, a: 7, p: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39910448 - 55*w**2 - 39910448 - w.\nAnswer: -55*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 125*f + 997. Calculate g(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/(-15)*-45*32\/(-576).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-2)\/4)\/((-4155)\/(-2078) + -2)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 1 + 2 + -3 + 2. Let f(i) = d*i - i - i - 5 - i. What is f(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6981, 13972, 20975, 27996, 35041?\nAnswer: 42116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -6*u - 38. Give g(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 57834216763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(192) + (sqrt(192) - (sqrt(192) + 1)) + sqrt(192))*-1)**2.\nAnswer: -512*sqrt(3) + 12304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1244657854*x**5 + 983*x - 46827.\nAnswer: -24893157080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 - 1 + 1)*(2 - 14*z - 13*z + 39*z + (0 + 2*z + 0)*(-3 + 2 + 3)).\nAnswer: 16*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c - 7*c - 5 + 3*c - 67*c**3.\nAnswer: -67*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from owmjmwwmwwmwwmjojjw. What is prob of picking 2 w and 2 j?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (-7 + 67 - 12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 - -128. Let d = j - -79. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -3. Let k = -122002\/426517 - -20\/60931. Which is the second smallest value?  (a) -1  (b) 32  (c) k  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 58\/633 or 1?\nAnswer: 58\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 60*s**2 - 30*s - 26. Give t(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - u**2 - 6*u - 4. Let j be h(4). Suppose -2*q - 2*w + 90 = 3*q, -j = -4*w. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -14, -4\/9, 3\/1031, 13?\nAnswer: 3\/1031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of c**5\/20 + 5*c**4\/6 + 13*c**3\/6 + 11*c**2 + 8*c. Let l be u(-9). List the prime factors of l\/(-21)*474\/4.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -9. Let a = -1 + j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 5*s + 27, 2*s + 5 + 21 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (50\/(-250))\/((-2)\/(-10)). Which is the biggest value?  (a) 1.8  (b) q  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 68*j**2 - 26*j wrt j.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5, b: 7, e: 1, s: 1, j: 2, m: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 102 = 2*u, -228 = -5*u + 147*h - 151*h. Calculate the greatest common factor of u and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8202, -8198, -8214, -8262, -8354, -8502?\nAnswer: -8718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 - 264300?\nAnswer: -264264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, 504661, 0.5, 1, -0.2, -29.\nAnswer: -29, -0.2, 0.5, 1, 4\/3, 504661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 6:28 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 179*m**2 - 2*m - 8. List the prime factors of q(3).\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 + n**2 + 8*n + 16. Calculate y(5).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjzzzjzjjjjjjjjzjjz.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*f - 4*d - 2265 = 0, 0 = 5*f - d - 3775. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -994 + 1.1?\nAnswer: -992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -g - 100, 13 = 2*s + 7*g - 2*g. Suppose -4*d + 3*d + 5*l + s = 0, 5*l - 137 = -3*d. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/118030 and 1\/3750?\nAnswer: 44261250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78280 is divided by 446?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -97555.19*-1\nAnswer: 97555.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -71.88  (b) -2  (c) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19450*m**3 - 38910*m**3 + 19448*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -30*r - 4. Let v be t(3). Let x = 189 + v. What is the highest common factor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -300 + 299.99966. Round l to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6*r + 75. Let j be h(0). Let a = 3 + 0. Suppose 0 = -a*w + 42 + j. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -51a12 - 31?\nAnswer: -51a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnalcncacncnncnnl. Give prob of picking 1 a and 1 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3827.\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*((-21)\/(-9) - 3). Suppose 4 = -w, -a*d = 5*w - 53 - 67. Suppose 5*o + d = 4*y, 3*o = 2*y - o - 10. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -110 at most -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -61*r**2 - 244*r - 1. Determine p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357131392?\nAnswer: 2, 2790089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**2 + 39*a + 45*a - 344*a + 38*a + 222*a.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6254418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -73 + -6.4936\nAnswer: -79.4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c7 - 22?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -18*g - 35. Let z(c) = -23*c - 45. Let v(r) = -9*a(r) + 7*z(r). Let w(i) = 714*i**2 + 2*i. What is v(w(x))?\nAnswer: 714*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 140*p**3 - 8*p**2 = 0.\nAnswer: 0, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 51, -23, -147, -321, -545?\n\"Answer: -25*u**2 + u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + 2*r - 4*r)*(0 + 0 + 3)*(-5 + 3 + 1)*(3 + 3 - 1).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 25 = 4*n, 3*u - 45 = -n - 48 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from qqzqqqqqqzz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c - 6. Let h be r(6). Suppose -22*l - 3*l + 750 = h. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 6.5. Let v = l - 0.5. Let y = -2619876\/11 + 238170. Sort v, 3\/8, y in increasing order.\nAnswer: v, y, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 9:20 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 18890*c - 5213648. Calculate s(276).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 5*b + 2. Let d be f(-5). Suppose d*p = -2*k + 38, 3*p - 2*k - 2*k = 85. Let v = 55 - p. What is the highest common factor of 224 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -6014693919067.\nAnswer: -6014693919066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -40378050 divided by -25?\nAnswer: 1615122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 579706325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1f (base 16) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -4*m**4\/7 + 52*m**3\/7 + 1468*m**2\/7 + 1292*m\/7 - 2808\/7 = 0.\nAnswer: -13, -2, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3381 and 18837.\nAnswer: 131859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.477672m to micrometers.\nAnswer: 8477672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooyi when four letters picked without replacement from ooioooioyooooioioysy?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (48\/256)\/(420\/(-224))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3193800 divided by 12?\nAnswer: 266150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381*p - 368*p = -1025 + 79246. Calculate the remainder when p is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -18403545, -18403547, -18403549, -18403551?\n\"Answer: -2*p - 18403543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4 + (sqrt(637) + sqrt(637)*-2*-5 - (-2 + sqrt(637) + -2)))**2.\nAnswer: 63701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of w**8\/12600 - w**7\/3780 + w**6\/5400 - 19*w**4\/6 - 38*w. Let h(a) be the third derivative of f(a). Let h(l) = 0. What is l?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 185080*c + 185076*c + 8, 3*c + 3 = -2*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (1 - 10) + 16 + -32 + 28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1242308978 to the power of 1\/2, to the nearest integer?\nAnswer: 35246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15160056 (base 7) in base 8?\nAnswer: 5402342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + (30 - 38) - 3 - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.47 - -0.87. Which is the closest to 1?  (a) g  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.40437 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 448)\/(-4 - -5). Suppose 443*r + 5028 = a*r. What are the prime factors of r?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 184 + -277. Let h be -3 + 0 + 0 - l. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 51429776, 51429792, 51429808?\n\"Answer: 16*m + 51429760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43 - 14) + -26 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4, 4*v + b + 8 = 2*v. Let h(l) = -8870*l + 43. Is h(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.988 - 1.242. Let s = o - -3.26. Let h = s - 0.03. Which is the second smallest value?  (a) h  (b) -0.4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*d - 9 = 3*r, 2*r + 9 = 3*d. Suppose -2*g + 41 - 7 = r. Let z = 30858 + -30852. Calculate the remainder when g is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4783 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, c: 2, i: 1, d: 12, e: 2}. Give prob of picking 2 d.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 28*m**2 - 164*m - 149. What is d(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 + -110. Let a = 698 - 466. Let g = a + l. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14\/5 + -2. Which is the smallest value?  (a) g  (b) 0.2  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6726 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -3\/14  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*q = 265*q - 5864958. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 9*h - 193. Let n be w(22). Solve 2 = -n*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12945*h**3 - 2597*h + 2597*h - 184558*h**3.\nAnswer: -171613*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 806 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -1. Let t(m) = 57*m**2 - 7*m + 8. Let a be t(2). Let h be (a\/(-21))\/2 - -5. Put l, h, -3\/5 in increasing order.\nAnswer: -3\/5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*g**4 + 265 - 4*g - 271 + 0*g + 4*g**4 to x*g + z + t*g**4 + m*g**2 + f*g**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + -19 + (21 - -3 - -14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 2*m + 10, -3*p - 15 = 2*p + 2*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2863.899 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18136650 + -10573674679\/583. Let r = -145\/11 - d. Is r != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 275*d**2 - 25. Suppose -14*o + 4*s = -13*o - 5, 0 = 5*s - 25. Let n(h) = -23*h**2 + 2. Calculate o*n(g) + 2*t(g).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 5:29 AM?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -7. Suppose 59*i - 55*i - 24 = 0. Suppose 130 = k*z + 4*h - i*h, -4*h - 68 = -z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -412*x**3 - x**2 + 23*x - 22. Calculate l(1).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 8*h**3\/3 + h**2 + h - 7. Calculate the remainder when p(-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 2*l - 16 = m, 0 = 5*l. What is the closest to 1\/3 in 9\/8, m, -3\/2, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/3 + (-13882)\/(-312). Let n = -248\/13 + x. Find the common denominator of n and 101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**6\/240 + h**5\/24 - h**4\/8 + 7*h**2 + 10. Factor w(o).\nAnswer: o*(o - 1)*(o + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6489c4 - 1?\nAnswer: -6489c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 2. Let a be (-6)\/(-8) + (-12)\/o. Sort -6, a, 2 in increasing order.\nAnswer: -6, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 81020\/43 or 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - a + 1)*(12 + 8 - 25)*(-5 - 2 + 1) to z + q*a and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2 - 11*n - n**3 + n**2 + 14*n - 4*n**2 - 8*n. Determine b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 32802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -477, -174, 639, 2214, 4803, 8658?\n\"Answer: 42*w**3 + 3*w**2 - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*q + 52*q + 17947 + 348573 = 0. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (518 - 530) + (0 - 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vxsa when four letters picked without replacement from sxvra.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11017 divided by 5?\nAnswer: -11017\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1716502, -1716499, -1716496?\nAnswer: -1716493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/5, 576, 0.05, 0, 0.1 in ascending order.\nAnswer: -8\/5, 0, 0.05, 0.1, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 6 = 9. Let o(z) = -26*z**2 + 5*z - 5. Let g be o(1). Let l = -33 - g. Put l, -2, d in descending order.\nAnswer: -2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2952 = 5*q + 262. Let t(m) = -m**3 + 3*m**2 + 4*m + 5. Let d be t(4). Suppose d*k = 17 + q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v + 2. Let x be d(2). Let a = -5 - x. Let u be (-5 - -8) + a\/(-1). Solve 6 + u = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 2874?\nAnswer: -11496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -21. Let h(x) = 3*x - 16. Let g(c) = -2*c + 8. Let o(t) = m*h(t) - 5*g(t). Calculate o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a + -a87?\nAnswer: -a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -304+-0.024\nAnswer: -304.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 0.3, -197, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 2. Suppose 4*s + 18 = 2*w, 3*w - 5*s = 2*w + 18. Let v(x) = 1 - 3*x**2 + x - 6*x + w*x + 5*x**2. Give v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**3 - d**5 + 0*d**3 + (-d**4 + 6*d**4 - 8*d**4)*(-2*d + 3*d + 0*d) - d**5 + 3*d**5 - 3*d**5.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146 + (-4 - -89) + (1 - -23).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - 27.9?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 130 = -4*c, -2*c + 4*k + 16 = -40. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12834538 * 2.9\nAnswer: 37220160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4186 and 249?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 883620149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2)*3 - sqrt(2)) + 1.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21399\/2008 + 8\/251. Calculate the common denominator of 1\/4*(-132)\/(-7) and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 2\/9  (c) -3\/4  (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/(-6))\/((-1)\/(-4)). Let n(q) = 3 - 4*q + 5 - q**r + 0 - 1. Give n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -232 + 477. Let c(m) = 2*m**2 + 43*m + 223. Let d be c(-22). Do d and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -98*y - 1\/3*y**3 + 0*y**4 + 0 - 17*y**2 + 0*y**5 + 0*y**6 + 11\/6*y**7. What is the second derivative of h(q) wrt q?\nAnswer: 1540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 209\/9 + -194\/9. What is the fourth biggest value in h, 0.3, 0.01, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 41\/2 of a week?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5552 (base 15) to base 3\nAnswer: -220210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 799 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, o: 4}. What is prob of picking 3 b and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 838 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 + u + 1. Let m be x(-1). Let y be 3 + 4 + (-2)\/1. Suppose 0 = -y*l + 30 - 10. Solve 1 = g - q - m, -l*q = 3*g + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-380)\/(-84)*82\/10 - 38\/399\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/47)*n*n**(5\/3) assuming n is positive.\nAnswer: n**(382\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 3)*19047\/(-105) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/9, 2\/5, 4\/175, -9, -1?\nAnswer: 4\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3577 - 10744 + 3588 + 16159*l**3 + 3579.\nAnswer: 16159*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*y = 1218*y - 11004 - 37480 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2)\/(-4) + 150\/(-9) and -113\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 234891623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 17181660 divided by 6\nAnswer: 2863610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 272 - 264. Let p be 132\/40*u\/(-6) - -5. Let s = -1\/40 - -11\/40. Which is the second biggest value?  (a) s  (b) -1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32154.1 to the nearest one hundred.\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93.52294 tonnes to milligrams.\nAnswer: 93522940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29876, 59771, 89666, 119561, 149456, 179351?\n\"Answer: 29895*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wnmnwnwnww. What is prob of sequence wnm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 163 - 46. Let t = -24 - -34. Suppose 0 = -5*m + t, 5*h - m - 73 = -5*m. What is the highest common divisor of r and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1121847\/8 - 140232. What is the common denominator of c and (-14)\/(-6)*6\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/211 and -99\/4?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1208 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 38167 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.1 - -12.2. Which is the nearest to p?  (a) 0.02  (b) -4  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*sqrt(400))\/(sqrt(45)\/(sqrt(441) - (sqrt(441) + 4*sqrt(441)) - sqrt(441))).\nAnswer: 1400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**3 - 2*h**3 + 0*h**3)*(-73 - 153 - 67).\nAnswer: -293*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.4 + -1. Suppose -b = -2*b - 10. Let a = b + 9. Put z, -1\/3, a in descending order.\nAnswer: z, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (1 + 6 + -10 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 5*t**2 - t - 2. Let u be b(-5). Calculate the lowest common multiple of u\/5 - -24*(-16)\/(-10) and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 15*c**2 + 3*c - 40. Calculate y(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -672 = -6*k - 30. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32536 divided by -4067.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -510184 divided by -74.\nAnswer: 255092\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v. Let d(t) = -t**2 - 6*t + 8. Let c be d(-6). Suppose -3*z = 3*r + 12, -z + 2*r = -0*z - c. Let b(a) = -a + a + a + z. Calculate b(n(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-2 - (-1 + 0)). Suppose 0 = 54*w + 8*w - 186. Suppose -73 - 22 = -q - w*g, 4*g - 20 = r. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19456*o - 4277 = -9821*o - 9726*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - (5 - 6\/3). Let k(y) = -5*y - 3. List the prime factors of k(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 540119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 401+-24421232\nAnswer: -24420831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9330539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 10017  (b) 2\/7  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1900.19 + 94791.7.\nAnswer: 92891.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 6*t**2 - 4*t - 7. Let l be q(5). Calculate the smallest common multiple of (-14)\/l + (-1)\/2*2 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10.17 from -31.01.\nAnswer: -20.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 2444044.101 to the nearest 1000.\nAnswer: 2444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3350 + 6046. List the prime factors of s.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 25 = -4*a. Solve -9 = a*m - 2*k, -2*k + 0*k = 2*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 3, -3, 0 in descending order.\nAnswer: 3, 0, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13\/20 - -611\/240. Find the common denominator of -49\/18 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - 0. Let z = 3 + v. Let d = z - 4. Which is the second biggest value?  (a) 5\/4  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwtttdttwtws. What is prob of picking 3 t and 1 s?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1512 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 1 + (-24)\/6)\/(-1). Suppose -m + 3 - k = v, 0 = v - 2*m - 5. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, 5, -3\/2, -1, 12566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 67506 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*1\/(-16)*(-11)\/660*-16.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6364.605 litres to millilitres.\nAnswer: 6364605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5358.833l to millilitres.\nAnswer: 5358833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1.34, -0.15 in ascending order.\nAnswer: -0.15, 0.2, 1.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 5:08 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 128, 3, -47258, 2 in increasing order.\nAnswer: -47258, 2, 3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -5*h - 7*h - 75, 268*d = 267*d - h - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -4  (b) -2\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - c + 68 = 0. Let x(n) = 26*n - 4. Calculate the remainder when x(2) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 - (-1 - 44) - (0 - -32) - 7\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-9) - (-3141)\/(-81). Is h less than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/11  (b) 0.3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8334 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 3*k**4\/4 - 1429*k**3 + 1529385*k**2\/2 + 1533675*k + 4509. Determine w, given that o(w) = 0.\nAnswer: -1, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2719 - -38043\/14. Suppose -5*d + 3 = -2*d. Calculate the common denominator of (-1375)\/132*d*2 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 3*r + 9 = 0, -3*w - 15 = 3*r + 2*r. Suppose w = -s + x - 18, -4*x + 0*x = 5*s + 45. Which is smaller: s or 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40378085911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4296 and 92328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -1. Suppose 0 = r*f - 93 - 201. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -101*q - 8. Let c be m(-1). Calculate the highest common factor of c and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 8:57 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 2. Calculate h(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + sqrt(102) + (sqrt(102) + 3*(sqrt(102) - sqrt(102)*3) - sqrt(102))))\/(sqrt(384)*1))**2.\nAnswer: 425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 10 = 4*z - 5*x, -4*z - 3*x = -6. Let n = -7\/8 + 9\/8. Is z greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.4, -246, -16, 2, 0.\nAnswer: -246, -16, -5, -0.4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 648 is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/2)\/(s\/(s*s*s**1))*s**(2\/9)\/s**(3\/7) assuming s is positive.\nAnswer: s**(163\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (4 + 26 - 9)) + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/((-221)\/(-14) + -16). Suppose 0 = -4*k - 0*k + 12. Suppose -k*z = -d - 31. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -4)*18\/(-12)*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 132982 (base 13) to base 14\nAnswer: c0a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 8*b**2 - 9*b + 4. What is the units digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -145, -238, -347, -478, -637, -830?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-594)\/(-1452)*11)\/36?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -168.893 - 0.207. Let x = r + 155. What is x rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -15 + 6 + 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 341 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/30 and 121\/27294.\nAnswer: 136470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + (14 + 5 - 34) + 64?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1055 - 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 31*y - 1429*y**2 + 1450*y**2 - y**3 - 8 - 21. Is z(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 4*x**2 + 1. Let v be o(-4). Let s be -21*-1*(-3)\/(-45). Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00381666156 to six decimal places.\nAnswer: -0.003817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*f = -116*f + 42 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 5*p**2\/2 + 4*p + 6. Let t(f) = -5*f - 5. Let r(x) = -5*h(x) - 4*t(x). Let g(i) = 4*i. What is g(r(l))?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 395707589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 51430 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**2 + 15*b + 10.\nAnswer: 5*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*l. Suppose -4*q + 3*j + 53 = 0, 4*q + l*j = j + 47. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000930075 to seven decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**2\/3 - 12*q - 37\/3 = 0. What is q?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a - 13. Suppose l = -2*b + 304, 5*b - 950 + 192 = -3*l. Suppose 30*o - 32*o + b = 0. Let k = 86 - o. Calculate p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 1. Let l(y) = 5*y**2 - 14*y + 30. Let q(b) = -l(b) - 6*m(b). Let d be q(-16). Let r(t) = 3*t - 3. Determine r(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 4 - 2*q**3 + (-3*q - q**2 + 3*q)*(0*q + 0*q + q) - q**3 + 0*q**3 - q**3 + 2 - 2 - 9*q**3 to the form i*q + f*q**3 + b*q**2 + n and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3068 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 54*b - 44*b - 25, 2*b - 5*m + 6 + 19 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1775 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-11)\/121*-11 + 973\/(-210) and 31\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1968, 1957, 1932, 1887, 1816?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -800 + 800. Let k(h) be the third derivative of 1\/40*h**6 + 2\/15*h**5 + 0*h**3 + i*h + 0 - 7*h**2 + 0*h**4. Find the third derivative of k(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34873, 69773, 104673, 139573, 174473, 209373?\nAnswer: 244273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 + 12 = 3*t - i, 3*t + 3*i - 63 = 0. Suppose -t*z = -26*z - 20. What is the second smallest value in -3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 3)*(0*g + 0*g + 2*g) - g + 0*g + 0*g + 4*g - 5*g + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 365144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 + 107854*a\/3.\nAnswer: -2*a*(a - 161781)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -72411 less than -39?\nAnswer: 72372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -3*p**2 - 4*p - 3. Let j(r) = 12*r**2 + 15*r + 12. Let t be 18\/(-45) - 8\/5. Let x(b) = t*j(b) - 9*i(b). Find n such that x(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9655 from -27077.\nAnswer: -36732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6851?\nAnswer: 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 2*b + 7 + 29, -28*r = 5*b - 90 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 224689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**2 + 11*c - 671?\nAnswer: 4*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b = -2*b. Suppose -5*a + 1805 + 3440 = b. Let k = a + -1549. What is k rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209 divided by -5.\nAnswer: 209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -56525932.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21652*f - 2*f**3 + 21652*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/7, 0.01, -2\/29, 28, -0.45?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 9*v**2 + 15*v - 12. Let s be i(8). Suppose o - s - 35 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115741574 a multiple of 1400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -154*d*o**2 - 42953481*d - 304226*o**4 wrt o?\nAnswer: -308*d*o - 1216904*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 8775.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*i - 7, -3*k - 1 = -7*k - 3*i. Let u be 7\/(-7) + k*3. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 812647.5901 rounded to the nearest 10?\nAnswer: 812650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -9*(-8)\/42 + 10\/35. Solve -r + f*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*j - 21*j = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 + -22.7. Let l = 0.06 - -2.94. Which is the third biggest value?  (a) l  (b) -9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*m + m. Let w be (m\/4)\/((-3)\/(-84)). Let l = -11 - w. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2935*r + 8305. What are the prime factors of u(-14)?\nAnswer: 3, 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i. Let t be p(6). Suppose 0 = -k - 2*k + 6. Let u be k*((-9)\/6)\/(-1). Solve 0 = u*b - 3*f - 3, 4*b - 4*f = 2*b + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5814 and 13248168.\nAnswer: 39744504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(-8)*8\/(-20) + 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10602 is divided by 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86238?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 63*d - 129*d - 167*d - 185*d + 249*d.\nAnswer: -295*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 144*y**2. Let t(n) = -1954*n. Determine t(m(i)).\nAnswer: -281376*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**3 - 4*u**2 - u - 3. Let y be i(-3). Let m = -6 + y. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*y - 385, -2*t + 3*t = -2*y + 154. Let l = y + -143. What is the least common multiple of 3 and l\/(-10) - 4\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 6:07 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -748*x + 9044 + 44973 = -43971 for x.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -2*r + 8*r. Let u be 32\/(-12)*(2 + (-21)\/r). Let v(l) = -l - 1. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 10962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**7*w\/w**(-23) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 5. Let n be v(-8). Solve -3*w + 4*f - n = 5*f, -2*f - 14 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 691 = -224*q - 279 - 150 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 16) to base 9.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from vzvhvhvvz?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 8*a - 4*h - 23 = 0, 2*a - 14 = 4*h. Suppose a = -4*t + 5*t. Solve 0*v + 8 = -3*v - 4*n, t*n - 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -2*a**3\/3 + a**2\/2 + 2*a - 1. Let r be g(2). Let w(s) = -2*s + 2. What is the remainder when 27 is divided by w(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-66)\/(-165) + (-4 - 61992\/(-20)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -1\/4, 15, -1\/2 in increasing order.\nAnswer: -1\/2, -1\/4, 2\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -16 - (76 + -55 + -3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 25094810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16479 divided by -3.\nAnswer: -5493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1533 = -564*j + 9183 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + 11*f**2 + 9*f + 2. Let q be v(-10). Let a = 1029 + -1392. Let k be (q\/(-9))\/(44\/a). Solve 4*y + 27 = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4606942\/3 less than or equal to -1535648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 189, 242, 295?\n\"Answer: 53*o + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -30542, 0.1, 16\/299 in descending order.\nAnswer: 0.1, 16\/299, -30542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 67.4 + -67.399999587. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/3*(-3)\/1. Suppose c*t - 5*k + 13 = 0, -2*k = t + 2*t - 19. Find the second derivative of -g + 0*g - 3*g + 0*g**2 + t*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6146201137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 43719826 and 241546.\nAnswer: 43719826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*n + 18*n**3 + 2 - 7*n**3 - 7 + 6 - 9*n**3 as v + q*n + l*n**3 + o*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 16 = -5*j + j, 2*j - 7 = -3*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4890 is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkyo when four letters picked without replacement from nnjoyonknkff.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -442.9 + 3.9. Let o = -471.9 - q. What is o rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 3554300?\nAnswer: -7\/3554300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 12672 divided by -22\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147595820.\nAnswer: 2, 5, 89, 283, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-64)\/(-78) - (1 - 0)*(-10)\/(-65). Let l(n) be the first derivative of 1\/4*n**4 - t*n**3 + 1\/2*n**2 - 20 - 2*n. Give l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*f**6 - 13*f**3 + 11850*f**2.\nAnswer: -3000*f**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2014 times -0.2\nAnswer: 402.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.1. Let b = 0 - k. Let h(i) = -i**2 + 11*i - 22. Let s be h(3). What is the closest to -1 in 0.1, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from baffbbbbbff. What is prob of sequence fbb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -186 + 612. Suppose -3*u - 129 = -g + u, 4*g - j = -2*u. Let n = -30 + g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 7*k - 2. Let u be a(7). Suppose -q = 5*f - 29, 2*f = 3*q - 3*f - u. What is the highest common factor of q and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*o + 11. Let d be 12*(2\/o)\/(-2). Suppose d*s = s. Solve 5*w + s*x - 25 = -x, -5 = -x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, -47, 3, -63, -1 in ascending order.\nAnswer: -63, -47, -1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 - 1. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.43 - 0.03. Let r = g + -2.2. Let s be 1\/(-2)*(8 - 2). Which is the nearest to -0.1?  (a) -0.5  (b) s  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*y + 8*y - 754. Let u = 46 - y. Calculate the highest common divisor of 24 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/3)\/l)\/l*l*l**(-2\/9))\/(l*l**(-9)*l**(-9))*((l**(2\/17))**(16\/5))**10 assuming l is positive.\nAnswer: l**(2939\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in 5, 4, 0.5, 9333?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19948*p - 7335*p + 19412*p + 10385*p)*(5*p + 2*p - 6*p).\nAnswer: 42410*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 - -73 - ((-1 - -2) + -23).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y + 321 - 685 - 7*y + 7*y + 365 + 32*y**3.\nAnswer: 32*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/7  (b) 1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 29. Let v be 16 - 14 - (-68)\/2. Calculate the highest common factor of v and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*a = -4646 - 639 + 1073 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29568.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.3 or 29\/6?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43525\/7 or 6218?\nAnswer: 6218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.34 - -3.7. Let z = d + -0.06. Let j = z + 0.7000015. Round j to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -2*t + 10, m - 6*m - t - 21 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.351148 - 54888056\nAnswer: -54888055.648852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/5  (b) 617.4  (c) 2\/11  (d) 2  (e) -5\/3  (f) 28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -9\/949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 + 3*j - 1. Let y(d) = 117*d**3 - 4*d**2 - 9*d + 3. What is 3*k(n) + y(n)?\nAnswer: 117*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 770 + -689. Calculate the smallest common multiple of w and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 22\/(-176) - (568375\/(-120) + (-1)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3359*g - 87*g + 127608 = 0 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -25a8 (base 15) to base 10\nAnswer: -8033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 + 7 = b, 14 = 3*b + 2*m. Let n be b\/4*-2 + 4. Suppose 28*y + 22 = 50. Put -2, n, y in ascending order.\nAnswer: -2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -307 + 634. Let v = u - 967. What is v rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 16572.\nAnswer: 5\/16572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 222\nAnswer: 17\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-20))\/(((-96)\/(-2000))\/((-264)\/80 - -3))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/10)\/((-138)\/(-250)). Is -2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*f - 8. Suppose f*h - 2 = 4. Sort -4, 0, h in descending order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -130561 - 0.0143.\nAnswer: -130561.0143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/2)\/(13\/(-78)). What is the tens digit of 70\/s*(-57)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3522\/137429 or 0?\nAnswer: 3522\/137429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1307*u**4 + 0*u - 1308*u**4 + u - 20 to r + y*u**4 + w*u**3 + c*u + n*u**2 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 - 77 - (-2 + 1 - -19) - (3 - 15).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -10 - 3*d - 37*d - 3*d + 38*d. What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*h - 28. Let n = -9 - h. Let o = 145\/3 - 48. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 4:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 + 6*r - 3. Let h be n(2). Suppose -h*y = -0*y. Suppose y = -4*p + p. Solve 3*f = 3, p - 6 = 4*a - 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 2. Let o = -1 + t. What is the common denominator of 65\/22 and (-35)\/o + 4\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 4, -4 in increasing order.\nAnswer: -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3135901801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/21 + (-3251522)\/(-224). Let h = g - 14510. Calculate the common denominator of h and 4\/14 + 835\/42.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o - 3. Let j(y) be the third derivative of -y**4\/6 - y**3\/2 - 2*y**2 + 274. Let t(p) = -p**3 + p**2 - p - 5. Let s be t(0). Give s*j(r) + 6*b(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4882479307?\nAnswer: 23, 212281709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) -5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 11326860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.038 - -0.062. Put -0.4, 0, -2, f in decreasing order.\nAnswer: f, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-12) - (-3)\/12. Suppose 5*n - 14 = -j + 3*n, t = -3*j + 4*n + 32. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (26 - 7) - 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -1 - (17 + -17) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(32\/6)*(-903792)\/(-8919)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cwcw when four letters picked without replacement from {c: 2, w: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3203.79ms to nanoseconds.\nAnswer: 3203790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218975080 + 4.4.\nAnswer: -218975075.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -550 - -549.9. Which is the nearest to -0.1?  (a) -0.3  (b) x  (c) 4.1  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-53 - -21 - -33) + 12 + (2 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -29 - ((-36 - -21) + -45)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/226 and ((-3)\/12*-6)\/(-7).\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36.7 - 37. Which is the nearest to -0.3?  (a) g  (b) -2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 55\/15 - (-2)\/6. Suppose c*z + 2*q - 1 = 7, 4*z - 32 = 4*q. Calculate the remainder when 61 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-1 + -1 + (38 - 81 - 6)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -993 + 1614. Suppose t - 135 = 3*k. Find the second derivative of -162*u**4 - 43*u + k*u**4 + u**5 + 38*u**5 wrt u.\nAnswer: 780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.542 + 2.828. Let w = 11.37 - y. Sort w, -0.3, -0.04, -0.5 in descending order.\nAnswer: w, -0.04, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 9:12 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2687 or -2693?\nAnswer: -2693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2640 and 3?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1510, 9739, 30246, 68587, 130318?\n\"Answer: 926*f**3 + 583*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 13.85?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sspiiieioos. What is prob of sequence pse?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**5 + 4390*w**4 + 1681157*w**3 - 1694332*w**2 - 3371100*w = 0.\nAnswer: -3966, -425, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19395661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1527.7032ms?\nAnswer: 0.00001768175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 3*g**2 - 3*g + 1. Suppose -21*k = -25*k + 8. Let r be f(k). Suppose -42 - r = -5*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31637 - 2*s**3 - 15835 + 5*s**2 - 5*s**2 - 15802.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3576670 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3 + 84416*i**2 - 337640*i + 337632.\nAnswer: -2*(i - 42204)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 5, -0.2909, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365 is divided by 348?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 63*q + 982. Give p(76).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -30.5 and -33998833?\nAnswer: 33998802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 6*u**2 + 5*u + 6. Let l be c(5). What is the highest common factor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176930 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/((-160)\/12)*(-9)\/(-27)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of 0*p - 9\/2*p**2 + 5. Let l(d) = 2*d**2. What is u(l(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**(-1\/5)))**43\/(t\/(t**(3\/5)*t)*t\/(t**2\/t)) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2  (b) -218  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -90*k - 9 + 85*k - 10 - 4*k**2. Let l(x) be the first derivative of -x**3\/3 + x**2\/2 - x - 1. Let p(n) = g(n) - 3*l(n). Solve p(j) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 8, j: 2, i: 7, s: 2}. What is prob of picking 2 n and 1 j?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q. Let n(j) = -2*j. Let s(t) = -4*n(t) - 10*x(t). Let m(u) be the third derivative of 0*u + 0*u**3 + 0 - 14*u**2 + 1\/12*u**4. Determine s(m(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 5. Let f be (13\/(-2))\/r*20. Let z = f - -1037\/8. Which is the second smallest value?  (a) z  (b) 2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + 15. Suppose -r + 3*r + 5*w = s, -3*r - 4*w = -27. Calculate the greatest common factor of r and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + -2 + 0)*1. Sort 5, q, -3 in ascending order.\nAnswer: q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/63277552 and -139\/21903768.\nAnswer: 569497968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 450 - 430. Solve 8 + 52 = -s*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2779 and 0.3?\nAnswer: 2779.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 9*n**2 + 52*n + 353. Let x be t(-8). Is -29\/91 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - b0bce?\nAnswer: -b0bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y - 2. Let x be j(3). Suppose -5*l + 18*l - 13 = 0. Solve -x = -3*u + 2*o, -u + 3*o + l = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**3 - 2*j**3 - j**3 + (-3*j - 2*j + 4*j)*(2*j**2 + 0 + 0) + j**3 + 0*j**3 - 2*j**3 - 12*j**3 + 59*j**2 + 15*j**3 - 2*j**2.\nAnswer: -j**3 + 57*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11442682344 take away 0.9?\nAnswer: -11442682344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 5*h - 3, -45*g + 2*h = -43*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31042 + 4?\nAnswer: 31101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -5*s - 7. Let r be j(-2). Suppose -4*d + 19 = r*q, -3*q = 2*d - 0*d - 11. Solve 6 = 5*u + 3*f, -d*u - f = -0*f - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 15*b = 32. Let c(w) = -w**2 + 5*w - 5. Let y(n) = n**2 - 5*n + 4. Give b*c(u) + 5*y(u).\nAnswer: u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4)\/r**29)**40)**(3\/4) assuming r is positive.\nAnswer: r**(-990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 5*o**2 - o + 7. Let v be x(5). Let i(d) = 2*d**2 - d - 1. Let u be i(2). Suppose 0 = -z + u*z - 12. Solve -b - v*b = -z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 7*s - 9. Let k be y(-2). What is the third biggest value in k, -1\/3, 10.8, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 3.6. Let p = 0 + 0.1. Let w = 2.7 - 6.7. Which is the closest to -2\/13?  (a) t  (b) w  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 992552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3706707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.093 - 379.877. Let i = -387 - j. What is the closest to 0.1 in i, -7, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39703, 158772, 357201, 634990, 992139?\nAnswer: 1428648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-5) - (-42)\/(-60))*0. Factor 2\/3*p**3 + 0 + 0*p + f*p**2.\nAnswer: 2*p**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 1)\/(7\/42). Calculate the remainder when 25 is divided by -1*m*(-9)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32865660 divided by 1825870\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 2, n: 16}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*l**3 + 4*l - 171*l**3 + 0*l + 9*l**2 + 65*l**3 + 52*l**3.\nAnswer: 9*l**3 + 9*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u - u + 5*u)*(3*u - 5*u + 3*u) + 3*u**2 + 15 - 15 + (-2*u + 0*u - 389 + 410)*(u - u + u) + 3 - 3 - 10*u**2.\nAnswer: -10*u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -11*(498\/(-165))\/((-21)\/(-105)). Put -3, 1, 2, v in descending order.\nAnswer: v, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 17 = -l - 27, -2*l = 2*q - 32. Suppose -2*k - 54 = -3*p - p, p - q = -k. What is the greatest common factor of 91 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3369\/11 or -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrarurruuarrarar. What is prob of sequence aua?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13371624 by -1806.\nAnswer: -7404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 10992.61651 to the nearest one hundred.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3*l**5 + 273*l**4 + 786*l**3 - 564*l**2 - 3192*l - 2112 = 0.\nAnswer: -88, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 - (-30 - 9 - -19) - 25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786566246 to the power of 1\/2, to the nearest integer?\nAnswer: 42268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 420 = 192*w + 257*w - 491*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from bbbegbg.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/10 - 27\/15. Let p be l + 0 + 2 + -3. Let f be (1\/(-8)*6)\/p. Is -1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 0.13273?\nAnswer: 0.13273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-238)\/(-210) + 1\/(-3). Which is the nearest to 1?  (a) o  (b) -3  (c) -5\/4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102051.\nAnswer: 3, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/20 and 59\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(3*x + 2*x - 3*x) + (1 + 3 - 1)*(-22*x + 31*x + 32*x).\nAnswer: 121*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -39\/4 less than or equal to -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 364 + 280*d**2 - 113 - 126 - 125 + d.\nAnswer: 280*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-221)\/15444*-298 - 4 and -41\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-5))\/((-45)\/75). Let c be (-19)\/(-39) + 1\/(-3). Sort c, -1, j in decreasing order.\nAnswer: c, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003264493 rounded to 7 dps?\nAnswer: 0.0003264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101101011 + 100?\nAnswer: 11101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k + 4. Let d be t(0). List the prime factors of 70\/d*(22\/(-10) - -3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**5 + 588*l**2 + 2380*l. Let m(v) = 2*v**5 + 295*v**2 + 1191*v. Let g(h) = 9*m(h) - 4*n(h). Find the second derivative of g(c) wrt c.\nAnswer: 280*c**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 4:52 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**5\/180 - x**4\/24 + 13*x**2\/2 + 4*x. Let w(y) be the first derivative of m(y). Factor w(i).\nAnswer: -i*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100011 - 11000110101111011011?\nAnswer: -11000110110010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.14 * 55.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**5)\/(c\/(c\/c**(-1\/4))*c)*(c**(-5)*c)\/c*c**(-2\/9) assuming c is positive.\nAnswer: c**(-359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 283, 1156, 2609, 4642, 7255, 10448?\nAnswer: 14221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w**2 + 41672 + 6*w**2 - w**2 + 5*w**2 - 41934.\nAnswer: w**2 - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/30 in -4, 2\/7, -0.3, -48, -1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 3*n - 3*y, 3*n - 17*y + 15*y + 17 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*j - 16*j - 3*j - 8*j - 6*j - 2 to the form z*j + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2*x = -82. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 15 = 5*g, -6 = -g - g - p. Suppose 2*a = -g*a + 4*n + 16, -5*a + 5*n = -15. Let h = 9 - a. Calculate the remainder when 9 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7518 divided by -1\nAnswer: 7518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.053 - -0.947. Let r(f) = f**3 - 2*f**2 + 37. Let n be r(0). Let w = n + -33. What is the third biggest value in -0.12, o, w?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1128000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -177 (base 8) to base 11.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 + 39*s**2\/5 + 54*s\/5 + 1.\nAnswer: -(s - 5)*(s + 1)*(10*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2166, -7070, -15194, -26496, -40934, -58466?\n\"Answer: 7*o**3 - 1652*o**2 + 3*o - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10846 + 10840.6776. Let v = -5.3 - a. Round v to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1755)\/(-567) + (-4)\/42. Solve -q*s + 9 = -2*d + 4, d = 2*s - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1415439*x**2 + 1915374.\nAnswer: -2830878*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -73 - -76. Suppose 10 = 4*c - p*m - 15, m = -4*c + 13. Suppose 5*u + 3*o = 174, -2*o = -c*u + 29 + 97. Is u at least as big as 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -282 + 32. Calculate the remainder when b is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.21864 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b**(-1\/2)\/b*b*b*b)\/b))**(-31)\/(b**1)**(-2\/47)*(((b\/b**(-1\/3))\/b)\/b**7)\/(b**(2\/5))**(-25) assuming b is positive.\nAnswer: b**(-3419\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 4*o + 18. Give p(-13).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 131344362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5104588751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -277691 + 2*t**3 + 445*t + 277691.\nAnswer: 2*t**3 + 445*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -5*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -523 - 1345 = -187*r + 750 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1045 (base 10) to base 6.\nAnswer: 4501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1032 - -1030. Let y = 18 - 12. What are the prime factors of a + 3\/(y\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 21*p + 35. Let a(d) = 64*d + 97. Let t(z) = -3*a(z) + 8*h(z). Let u(r) = 5*r + 2. Determine -4*t(i) - 22*u(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and -68026.\nAnswer: -68027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 0 + 1\/6*k**3 + 0*k**4 + 0*k**6 + 0*k**5 - k + 1\/42*k**7 + 0*k**2. Find the second derivative of d(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 546 = 210. Suppose -2*o - 4*r = -f, -4*o = -3*o - r - 183. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 784 divide 2158981054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 28*t**3 - 5*t**2 + 5?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/14015 and 23\/224240.\nAnswer: 224240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -562 + 879. Suppose -j - 79 = -6*g. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-10) - 66\/(-15). Suppose t + t - u = 0. What is the second derivative of a**t + 3*a - a + 2*a - 4*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -711857193*h**3 + 468898601 wrt h?\nAnswer: -2135571579*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 6*h**2 - 18*h + 11. Let z(n) = -7*n**2 + 19*n - 11. Let j(t) = 6*p(t) + 5*z(t). Let l be j(9). Let y = -18 - l. Is y at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 9 + 1 - 5*v to the form k*v + s and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -0*s - 4. Let o = 8 - s. What are the prime factors of 2\/1*10\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 200 = 4*d - 0*d, 5*w - 514 = -3*d. Suppose 107*g - w*g = 15. Suppose 0 = -k - 3*r + 11 + 3, -4*r + 37 = g*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -249844, -499502, -749160, -998818, -1248476, -1498134?\nAnswer: -1747792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-14)\/32*(-5500)\/1925)\/((-3)\/(-4)). Factor 5*l**3 + 10 + 85\/3*l - b*l**4 + 25*l**2.\nAnswer: -5*(l - 6)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/7 + (-430)\/70?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277953.\nAnswer: 3, 13, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 3*k - 9. Let i(j) be the first derivative of -j**4\/4 + j**3 + 3*j**2\/2 + j - 437. What is i(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 1. Let a = -2 + 6. Let h(j) = -2 + 1 + a - 1. Calculate 2*c(f) + h(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17624 = 53*n + 5964. Let p = 41 + -24. Calculate the remainder when n is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15369 take away -409.101695?\nAnswer: 15778.101695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 184 = 3*l. Let q = l - 85. Let m = 74 + q. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7873 and -148?\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.6 from -3981.\nAnswer: -3980.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.5764 + -12602.1764. What is z rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) -4\/3  (c) 4  (d) 0.19  (e) 0.3  (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5752 - -34435\/6. Calculate the common denominator of 5 - (40\/60 - (167\/30 - 0)) and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 602*w + 461*w + 327*w + 109*w.\nAnswer: 1499*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 24 = -8*f. Suppose 5*r + 9*n - f*n + 5 = 0, 0 = 2*n. What is the third smallest value in -1\/2, -20\/7, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78242*h + 4 - h**2 - 3 + 77885*h.\nAnswer: -h**2 - 357*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.4, 1, -0.0796, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**3*w + 167*o**3 - 39*o**2*w + 2*o**2 - 33*o*w - 3*w - 28 wrt o.\nAnswer: -12*o*w + 1002*o - 78*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-2)*(-104)\/(-16). Suppose g - n*g = -3360. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 116183 and 1784.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -l**5\/15 - 11*l**4\/6 - 12*l**3 + 95*l**2 - 132*l. Let p(n) be the first derivative of x(n). Solve p(s) = 0 for s.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 142, 1\/3, -5, -4, -4\/5, 1, -2\/219?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o + 4379 = b, -17544 = -4*b + 3*o. What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2. Let g(c) be the second derivative of -17*c**4\/3 + c - 16. Determine w(g(a)).\nAnswer: 4624*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - g = 24, -2*g + 1 - 35 = -4*z. Let d(u) = 4. Let m(y) be the third derivative of -y**4\/24 + 7*y**3\/6 - 2*y**2. Determine z*d(x) - 4*m(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65 and 158745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z**3 + z**2. Let r be s(-1). Let f = 0.5 + -0.4. Which is the smallest value?  (a) 0.5  (b) r  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 739423, 1478834, 2218221, 2957578, 3696899, 4436178?\nAnswer: 5175409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.7 and 282.75318.\nAnswer: 283.45318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2988355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 4\/5  (b) -83\/14  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 836182 and 5652?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*c - 11. Let i be -5 + (-4 - (-3)\/3). Let o be (-1)\/(-4) - 14\/i. Solve 0 = -o*d - 12 + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (-25 + 6 - -24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 598 - 598 - 144*l**3.\nAnswer: -144*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 5*d**4\/4 - 2920*d**3\/3 + 5825*d**2\/2 - 2910*d + 4187. Let i(o) = 0. Calculate o.\nAnswer: 1, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -33*u**2 + 3*u - 3. Let i(j) = -35*j**2 + 2*j - 2. What is -5*i(z) + 4*v(z)?\nAnswer: 43*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*i = 18 + 34, 4*y + i - 76 = 0. Let o be (-4 - -3)*(-3 - 1). Solve -3*q + o*n = 2*q + 25, -y = 4*q + 3*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 14*n**2 - 6*n - 8. What is the units digit of r(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.445 + -1.456042. What is o rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-g - 5*g + 4*g)*(-4*g + 2*g + 4*g) - g**2 + 2*g**2 - 2*g**2)*(-2*g + g - 2*g)*(-g + 2*g + 0*g).\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(112) + 4) + 4 - (3 + sqrt(112) + -3)**2*6)*-5.\nAnswer: 20*sqrt(7) + 3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2278*m + 207125. Give f(-91).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 - 69\/(276\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(960)\/sqrt(12) + (sqrt(405) + sqrt(405)*-1 - sqrt(405)) + -2.\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51510790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 179, 387, 593, 797, 999, 1199, 1397?\n\"Answer: -o**2 + 211*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -9520, -9479, -9438, -9397?\n\"Answer: 41*o - 9561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of s**8\/112 + 2*s**7\/35 - s**6\/20 - 3*s**5\/5 + 9*s**4\/8 - 11*s**2. Factor a(k).\nAnswer: 3*k*(k - 1)**2*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/4)\/i)**0)**(-14) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 6. Let d be 15\/10*20\/k. Let a = d - 5. Solve -24 = 4*i - u, 3*u + u - 16 = a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 0*k = -12. Let r(j) be the first derivative of j**4\/4 - 2*j**3\/3 - 3*j**2 + 4*j - 19. Give r(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 2*o + 8. Let a be f(6). Let r = 62 + a. Suppose -3*g = -2*j - r, -1 = -2*j - 5. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -6. Suppose -4*z + q = -3*z. Suppose z*d - 2*d - 52 = 0. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98 - 34 = -22*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.62 + 1.62. Which is smaller: u or 0.22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -8 - (7 - 6)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23137358 divided by -4?\nAnswer: -11568679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqb when four letters picked without replacement from {q: 3, h: 1, s: 9, b: 5}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chy when three letters picked without replacement from ycycrcfchyc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 279, -3962, 19 in decreasing order.\nAnswer: 279, 19, -3962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**5\/9 + 34*f**4\/3 + 274*f**3 - 206060*f**2\/9 - 1562027*f\/3 + 543286 = 0.\nAnswer: -29, 1, 57, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2736 and 64.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(396)*-2)\/sqrt(9))\/sqrt(4) - (-2*sqrt(110)*-5)\/(5*sqrt(20)\/sqrt(2)).\nAnswer: -4*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 687, -4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 408 = 1342. Is (11\/22 + h\/8)*-20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 100016621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6780897863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0  (c) -2.09  (d) 27\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.22 + 55.22. Let j = -56 + m. Let u be 3\/(-24)*-26 + -4. Which is the closest to 1\/4?  (a) u  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 3*o - o)*(-1 + 4 - 2) - 83*o + 84*o + 153 + 169.\nAnswer: 3*o + 322","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 333\/(-195) + 208\/676.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-11 + 10 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70761 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4. Suppose g*j + 2*j = 20. Suppose -d - 3*v + 14 = -1, -5*v + 75 = j*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (192\/(-480)*10\/16)\/(5\/100)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6097178 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3593377 is divided by 171113.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -4*h - 2*b, 79*b - 84*b - 5 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5299*v + 10599*v - 5300*v - 401*v**2 + 561*v**2.\nAnswer: 160*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -471 - -697. Let c = j - 151. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -14685355, -29370711, -44056067, -58741423, -73426779?\n\"Answer: -14685356*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 - 0.178256467\nAnswer: -11.178256467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -0.5  (b) -2\/85  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(7*(-2)\/6*(-4266)\/(-54747)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -299*l**3 - 42*l**4 + 0*l**2 + 149*l**3 + 148*l**3 - l**2 to v*l + i*l**3 + d*l**2 + u + w*l**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from oozaobhabcaoboz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 31514338 plus 0.3?\nAnswer: 31514338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -a**7\/210 - a**6\/150 + a**5\/100 + a**4\/60 - 40*a. Suppose p(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -6, -482, 0 in decreasing order.\nAnswer: 0, -1, -5, -6, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + (-3*sqrt(108) + -3)**2).\nAnswer: 432*sqrt(3) + 3932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y**2 + 87*y + 423. Determine p(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -3*q**3\/7 + 1230*q**2\/7 - 94131*q\/7 - 948996\/7 = 0.\nAnswer: -9, 116, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -29, 16, 79, 166, 283, 436, 631?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = j + 22, 0 = g - 20549*j + 20550*j + 4 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21950 (base 13) to base 4.\nAnswer: -32313221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 858 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1674815.28 rounded to the nearest ten thousand?\nAnswer: -1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 3878*g**2 - 3880*g**2 + 47*g - 78*g as b*g**2 + o*g + j and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u - u - 79228377041 + 79228377041 - 396*u**2.\nAnswer: -396*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 11 = -l, -2*t - 19 = 4*l - 47. Solve -5*i - 3*u - t = -31, 6 = 2*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 167594?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 268233 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 734293841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 482508391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20.45 + 19.95. Which is the biggest value?  (a) -35  (b) x  (c) -12  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15356 + -15356.6. Sort -5, p, 2\/197, 0.5.\nAnswer: -5, p, 2\/197, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 12:30 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -12*t + 5*t. Suppose 0 = -t*q + 2 + 22. What is the tens digit of 225\/q - 15\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (52\/5)\/4. Suppose -9 = -t - b - 3, 0 = -2*t + 4*b. Suppose 1 = -z - t. What is the third smallest value in z, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - -1)\/(3\/9). Suppose q - 30 = -2*q. Let g = q - 11. What is the second biggest value in g, r, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - -2) + (-2)\/(-4). Let f = 7087\/7 - 7090\/7. Which is the closest to 0.1?  (a) -0.61  (b) f  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (78\/39)\/(1*7\/1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/(-8) + 2\/(-8). Suppose 0 = 4*h + q*n, -n = h + 3*h. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-9\/2))\/n**(12\/7))**(-39) assuming n is positive.\nAnswer: n**(2847\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 7:13 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(325) + sqrt(117) + 0)*-1.\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430296876?\nAnswer: 2, 3, 19, 167, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/18)\/(5\/(2850\/4)). Let k = r + -90. Suppose 0 = 3*x + k*f + 11, 0 = -x - f - 2*f - 9. Calculate the remainder when 17 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(48)*-3 + (1 + sqrt(300) - sqrt(3)) + -1 + -1)*-6.\nAnswer: -18 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 + 5*m + 5. Let k be l(-7). Let v = 24 - k. Solve 0 = -2*u + 3*s - 0*s - 5, -5*s + 10 = -v*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11053 - 11053. Let j(z) be the second derivative of n + 0*z**3 - 3\/10*z**5 + 0*z**2 + 0*z**4 + 3\/14*z**7 - 3*z - 1\/10*z**6. Factor j(u).\nAnswer: 3*u**3*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 388 - 381. Suppose -z*w - 10*w + 170 = 0. Solve 0 = -5*f + w*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/3 - (-59540)\/7786\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6529152.97 rounded to the nearest one hundred?\nAnswer: 6529200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142 + 143 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 6*i**2 + i + 4. Let y be p(2). Let g(j) = j**2 + 9*j - 6. Let b be g(y). What is the greatest common factor of b and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6996967453?\nAnswer: 7, 999566779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.08 in 0.5, -1.5, -9694?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 6*y - 1. Let m be k(6). Let l = m - 0. Let p be (0 - 0)\/(-2 - l). Solve -x = -p*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 91, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h = 12*h + 4. Let b be (-225)\/h - ((-100)\/(-16) + -7). Find the first derivative of 32*i - 42 - 22*i**3 + 25*i - b*i wrt i.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2432503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q - 3. Let b = 25 + -31. Let s be c(b). Solve -6 = -3*a + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2 = 2*v - v, 2*v - 2 = -4*x. Let o = 3\/8 + -91\/200. Is o at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = 23*v - 13*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 h when four letters picked without replacement from {e: 3, i: 2, h: 2, b: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxir when four letters picked without replacement from {x: 2, u: 1, r: 7, i: 8}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**2. Let g = -2 + 4. Let c(k) = -k**2 + 1 - g*k**2 - 1. Calculate b(c(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**2 - 2*m**2 + 11*m**3 - 1 - 7*m**2.\nAnswer: 11*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -294*a = -307*a + 7228. What is the remainder when a is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32*(-6)\/2240)\/(1\/(-25)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 11*h**2 + 2*h + 44. Calculate the least common multiple of c(-11) and 498.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) -2  (c) 5  (d) 150.2  (e) 6\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 18131, 36126, 53983, 71702?\n\"Answer: -69*f**2 + 18202*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + 0. Suppose -i - y = -2*b, -5*b - 4*i = -2*i + 3. Calculate the remainder when 37 is divided by -2 + b + 18 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from pbbbbbvbgbggbppbgb.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -5*l**2 + 2 + 3*l**3 - 3*l - 3*l**3 - l**3. Let m be (27 - 17)*(2 + (-15)\/6). Give u(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 7290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2. Suppose 9 = r - 4*d + 1, -4*d - 8 = -3*r. Let a(o) = 4*o - 2*o + r*o. Give m(a(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**7\/210 - 19*f**5\/20 - 31*f**3\/3 - 11*f**2 - 4*f. Differentiate p(l) with respect to l.\nAnswer: -4*l**3 - 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20678 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, t: 5, s: 2}. What is prob of picking 2 s and 1 w?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 5243\nAnswer: -2\/5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.1 times 0.25802?\nAnswer: 4.412142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-15)\/3*(-10)\/(-25)*-106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(750)*4 - (-6*sqrt(120)\/sqrt(4) + sqrt(30)))\/(6*sqrt(150) + -5*sqrt(54))*-3 + 2.\nAnswer: -5*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 107746617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 185931 by -61977.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -258*j**3 + 1568*j**2?\nAnswer: -1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1603767846 to the power of 1\/3, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**3 - 7*a**2 - 8*a + 5. Let j be h(-4). What is the tens digit of ((-1)\/(2\/j))\/(10\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -2*h**7\/21 + 3*h**5\/5 - 2*h**4\/3 - 233*h. Solve m(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2700) + sqrt(2700)*2)*-3)\/((sqrt(576)*-1*2 - sqrt(576)) + sqrt(576) + (sqrt(576) + -2*sqrt(576) + sqrt(576) - sqrt(576) - sqrt(576))*-6).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 601272*t**3 - 6*t**2 + 37545?\nAnswer: 3607632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 384 and 105160?\nAnswer: 5047680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 25*(-4)\/(-330)*546\/(-5). Which is smaller: a or -32?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 86215 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 276, -81, -438?\n\"Answer: -357*h + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6134, 24846, 56014, 99638?\nAnswer: 155718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 227  (b) -5\/964  (c) 1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1277504764\/549 - 2326966. Let x = 108317\/7686 - j. Let a = -537\/35 + x. What is the common denominator of -9\/2 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllpppllppplppalpll?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 62593.47nm?\nAnswer: 0.006259347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 199945 and 42428329?\nAnswer: 212141645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1732*((-72)\/(-32) + -6). Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106 = -9*m - 142 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 10) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 9 - 9 + 29*k**2 + 183*k**2. Let c(o) = -19*o**2. Determine u(c(t)).\nAnswer: 76532*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 10*o**2 - o + 7. Does 17 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -2. Solve -u = 4*o - 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 38*h**3 - h**2 + 1. Let q be j(-1). Let y = 19 - q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-3*l + 3*l - l**2) + (-13*l - 3*l + 4*l)*(-l + 5 - 5 + (2 + 2 - 2)*(-2*l - 2*l + 5*l) + 2 + l - 2).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1996 = 21*c - 6910. Calculate the remainder when c is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wpwx when four letters picked without replacement from pjjwtpjtxtpajxw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4318 + 163. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94220530 divided by 94694?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2057 and 974413?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 121, 239, 353, 463, 569, 671?\n\"Answer: -2*p**2 + 124*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265 = 2*z - 17. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 2*m - 22. Determine y(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**6\/15 + w**5\/5 - 2*w**3\/3 - w**2 + 4*w - 2. Let n(s) be the first derivative of u(s). Let n(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5515*k - 1117*k + 3385*k - 474763 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6234787403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -67\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6)*y**4)\/((y*y\/(y\/(y*y\/y**(-6))*y*y)*y*y)\/y**(-2\/13))*(y**(-2\/5)\/((y*y\/y**(-2\/17))\/y))**(-9\/2) assuming y is positive.\nAnswer: y**(-9557\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 23 + 33 = 0. Suppose -p = 4*r + 3*u + 9, 3*u = r - 11. Is (r - -4) + 236\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 19. What is the biggest value in p, -1, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 10:44 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*p**3 - 10*p**3 - 15 + 10*p**3 + p**3 + 0*p**3 + p**3 + (p**2 - p**2 + p**2)*(-p + p + 2*p) + p**3 - 3*p**3 + 4*p**3.\nAnswer: p**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 117216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -497005575 divided by 6626741.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2082427 + 2082466. Let y = -8\/21 - 2\/7. Let v = 0 + 2. Which is the nearest to y?  (a) v  (b) -5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11316 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-4) + 290\/(-440). What is the second smallest value in -1\/5, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6252 is divided by 61.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(243) + (sqrt(243) - ((sqrt(243) + 0)*5 - sqrt(243))) + 4))**2 + -4*(-2*sqrt(6)*6)\/(sqrt(2) - sqrt(18)\/(-1*sqrt(9) - sqrt(9))).\nAnswer: -1264*sqrt(3) + 8892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**4 - v**2 + 2*v**3 - 2*v**4 - v**3 in the form c*v**4 + h*v + l*v**3 + k + d*v**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-3*sqrt(252))**2 + sqrt(252)).\nAnswer: 30*sqrt(7) + 11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*t + 18. Let v be (1 - 2)*(-3 + t). Let z(n) = n**3 + 4*n**2 - n - 5. Determine z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 8*v**2 - 7*v + 3. Let g be b(-2). What is the closest to -0.1 in 2\/19, 3\/4, g, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from cwccwcccccwccwcw.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/(g**0*g*g))**(-42)\/(g*g**0*g)**12)\/((g**(-6)\/g)\/g*g**(1\/4)*g*(((g**(2\/7)*g)\/g)\/g*g)\/g**(2\/9)) assuming g is positive.\nAnswer: g**(-14947\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -435 + 1999. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148 = 9*l - 4*y, 3*l + 43 = 3*y + 94. Solve 29*b - 33*b = -l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llldltd. What is prob of picking 2 d and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4 - 1.6. Let d = -45 - -493\/11. What is the third biggest value in 1, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 14*h + 4. Let j(z) = z**2 - 7*z - 4. Let n be j(5). Let a be y(n). What is the second derivative of 6*l + 0*l + 3*l**4 - l**a + l**4 wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 505 a factor of 21734190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 18. What is the common denominator of (180\/2400)\/((-99)\/(-5225)) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -3\/67, -7618, -4?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5223 + -52231\/10. What is the nearest to 3 in 5, 0, i, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**2*g**(-2)*g*g)**42*((g\/g**(-6))\/g**(-4\/9))**(1\/84) assuming g is positive.\nAnswer: g**(63571\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 6, 0 = 4*l - 3*d + 2*d - 37. Let f(h) = -h. Let k(u) = -12*u - 2. Let i(o) = l*f(o) - k(o). Give i(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 470769.\nAnswer: 3, 13, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3316811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 1410 = -z. Suppose -2*b - 3*a = 477, -z = 3*b + 3*a - 2*a. Let o be -3*(-12)\/b + (-30)\/(-26). Solve 3*l - o = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35477 (base 8) in base 7?\nAnswer: 62135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/6*4\/(-5). Sort 5, j, -5 in increasing order.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 4*b**4\/3 + b**2\/2 - 2*b. Let y be f(-1). Let t = 70 + y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -926\/88979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -66*j + 9527. Calculate s(148).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 6*o - 4. Let f be b(4). Suppose -5*g - 85 = -g + h, f*h - 17 = g. Let n be 1\/(g\/12 + 2). Solve 0 = -4*y - n, c - y + 1 = -0*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -4*x**2\/9 + 344206*x - 1548926\/9 = 0.\nAnswer: 1\/2, 774463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*l = -27. Let o(r) = -5 + 2*r**2 - l*r**2 - 2*r + 3*r**2 - r**3. Calculate o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -8*s**3 - s + 1. Let f be b(1). Let c = 13 + f. Calculate the least common multiple of c and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -54765.94 and -5.\nAnswer: 273829.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(3 - (-14)\/(-4)). Suppose p*x + 4 = l, l + x - 4*x - 9 = 0. Let z = 16 + l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22955370 and 2595.\nAnswer: 22955370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 0*w + 0 - 5\/2*w**3 + 1\/2*w**4 - 20*w**2 + 1\/20*w**5. Find v, given that h(v) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g**2. Let t(h) = h + 1339. What is l(t(a))?\nAnswer: 2*a**2 + 5356*a + 3585842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 5*m + 7 = -2*m, -2 = -3*o + m. Let s be 429\/66 + (-3)\/(-6)*-1. Let n(x) = -16*x - s*x + 20*x + 2. Let i(g) = -g. Give o*n(a) - i(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*l - 6*l + 0*l**5 + 17*l + 15*l**5 wrt l?\nAnswer: 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -4  (c) -95  (d) -2.8  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -16. Suppose -61 + h = -12*s. Suppose 5*a - 49 - 80 = -2*z, 3*z - 159 = s*a. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1963274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-118)\/(-10))\/(7\/35). Let z = -21 + x. Calculate the greatest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20557 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2*(sqrt(304) - (sqrt(304) + 0))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 28 = -3*y + 61, -3*y + 97 = -2*r. Solve 7*o + y = 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1114 + 113?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7107*b**2*c**2*h - b**2*c**2 - 72*b*c**2 - 4*b*c*h + 2*b - c**2*h + 27*c wrt b?\nAnswer: -14214*c**2*h - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.845 + 0.355. Let p = n - -1.49. Which is the biggest value?  (a) p  (b) -1  (c) 0.21  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 382 - 1592. Suppose -2*n + g = -482. List the prime factors of n.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/63 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*p**2*q**3*s**2 + 309*p**2*q**2*s**2 - 3581*p*q*s - 2*q**3*s**2 - q**3*s wrt p.\nAnswer: -8*q**3*s**2 + 618*q**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2812 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -14162567860 to the nearest one million.\nAnswer: -14163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 - 18. Are 3\/8 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1392\/5 or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2245, 2246, 2247?\n\"Answer: w + 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -78317180 to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*q + 110*q - 70*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 - (-5 + 1 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 13. Suppose -3*u + 4*y = 2, -4*u + 4*y - 8 = -0. Let r be m(u). Let h(d) = 16*d - 2. What are the prime factors of h(r)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3687734*x**5 - 6838621*x**2.\nAnswer: -221264040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/(-8) + 3)\/(6\/(-8)). Let l(u) be the first derivative of 3*u**2\/2 + u + 1. Let a(j) = j + 1. Let n(d) = -2*a(d) + l(d). Give n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-30)\/(-45))\/(4\/(-3)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4 times 24?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 20*t**2 + 24. Let r be v(9). Suppose 75 = 5*l - r. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7*f**2 - 3*f + 24. Let a(z) = 18*z**2 + 10*z - 64. Let q(v) = -3*a(v) - 8*s(v). What is q(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30.7 + 8.3. Let u = 42 - q. Put 5, -0.5, u in ascending order.\nAnswer: -0.5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 2:05 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -335, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/(-4)*84\/(-49). Let h(a) = a. Let b(w) = -6*w - 1. Let x(f) = b(f) + 4*h(f). Let m(l) = -2*l - 1. Calculate s*m(g) - 7*x(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.18 and -359819.\nAnswer: -64767.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3*g = 20, -3*y + 40 = -y - 4*g. Calculate the highest common factor of 80 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4\/3 - 8498*f**3\/3 + 4012944*f**2 - 1896782976*f + 1892772864.\nAnswer: 2*(f - 1416)**3*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 34, 4, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32207 and 10807.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.292111 milligrams to micrograms.\nAnswer: 6292.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 6 - 3*w)*(4 - 4 - 2*w) + (-w + 2*w + 2*w + (5 - 2 - 2)*(w + 3*w - 3*w))*(-w - 12*w + 4*w) as i + t*w**2 + s*w and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.7 + -2.1. Let q(r) = -7*r + 2. Let s be q(1). What is the biggest value in x, s, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -0*n - 4*n - 38, 3*n + 23 = t. Suppose 4*b - 35 = -2*s + 13, s = 5*b - t. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 26586*d - 1409151. What is u(53)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 6*s + 6. Let f be 21\/4 - (-3)\/(-12). Let q be p(f). Which is the nearest to 0?  (a) -0.1  (b) -0.5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265*k**4\/2 + 2115*k**3 - 4665*k**2\/2 + 85*k = 0. Calculate k.\nAnswer: -17, 0, 2\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 94 - -6?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -69.7.\nAnswer: -69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 99*f + 242*f**3 - 335*f**3 - 2*f wrt f?\nAnswer: -558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b**(-3\/31)\/b)\/b)\/b)**(-2\/15))**(-2\/41))**14 assuming b is positive.\nAnswer: b**(-1792\/6355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*p - 7*p = -31, -3*n - 16 = p. Let a(h) = h**2 + 7*h + 7. Calculate a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 84*d - 75 + 77 - 96*d. Let h(o) = -25*o + 5. Calculate 4*h(x) - 10*r(x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 186865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 19 + 2b73a4?\nAnswer: 2b7401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -12, -64, -152, -276, -436, -632?\n\"Answer: -18*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 133, 0.1, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 262451, 262449, 262447, 262445, 262443?\nAnswer: 262441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**3 + 1778*m**2 + 10699*m + 8920 = 0. Calculate m.\nAnswer: -5, -1, 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 52*d**2 + 313*d - 20. Calculate m(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**24\/v)\/v)\/v)\/v*v*v**(5\/4))**(8\/9) assuming v is positive.\nAnswer: v**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*c**4 - 4*c + 15*c**4 + 12*c**4 + c**3 to the form o*c + k*c**4 + f + y*c**3 + i*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {q: 13, p: 2, j: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -256 - -258. Suppose 0 = 4*k - t + 7 - p, 0 = 4*t + 12. Let d = 0.1 + 0.1. Which is the nearest to -1\/3?  (a) d  (b) k  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -94669 + 9069. Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2844381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-518)\/(-14)*(-1)\/(-1)*1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*c = -2*o + 26, 25 = -3*o + 4*c. Let x be o + (11 - (3 + -2)). Solve -4*i = -x*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 + 4*p + 3. Let t be r(5). Let a = -283 + 284. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p + 8. Let k be o(2). Suppose k*m = 8*m. Factor m*a + 0 + 0*a**2 - 1\/7*a**3 + 1\/7*a**4.\nAnswer: a**3*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*(z\/(z**8*z))\/z*z*z*z)\/z)**(-7) assuming z is positive.\nAnswer: z**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 3*s**2 + 4*s + 47526. Let o be 1\/(-2)*(-48)\/4. Give j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*c + 7*c + 9*c)*(-2 + 2 + 2*c) + 6 + 32*c**2 - 3 - 30*c**2.\nAnswer: 18*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3954297?\nAnswer: 3, 1318099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)\/a*a**(-2\/5)\/a)**48*a**(6\/5)\/a*a\/(a\/(a\/a**(-1\/6))*a*a)*a*a**5\/a**(-1\/13) assuming a is positive.\nAnswer: a**(-9809\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**4\/6 - 6*c - 2. Let y(f) = 5*f**2. Give y(z(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.86 + 0.8. Let i = r - 0.02. Let c = 0.22 - i. What is the nearest to 0.1 in -3, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 287020 and 100076?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**3\/3 + 2*k**2 - 4*k + 5. What is o in b(o) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -740514.798 rounded to the nearest 1000?\nAnswer: -741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 86108751 divided by -6?\nAnswer: -28702917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3631403509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2630*g**2. Let k(o) = 5*o**2 + 3*o**2 - 34*o**2 + 6*o**2 + 23*o**2. Calculate d(k(m)).\nAnswer: -23670*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-13)*h**(-12)*h*h\/(h\/(h**(-13)*h))*h*h*h*h*h**(-5\/2))**(-5\/4) assuming h is positive.\nAnswer: h**(345\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21067\/48 + -2597\/6. What is the common denominator of j and ((-1044)\/(-40))\/(24\/10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2363, 2616, 3133, 3992, 5271, 7048, 9401, 12408?\n\"Answer: 13*q**3 + 54*q**2 + 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2820083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6253 = -5*d - 2*f, -3751 = -127*d + 124*d - f. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 6 + 135*q.\nAnswer: 135*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 184 + -4d8d5?\nAnswer: -4d751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k + 4*s - 7, -k - s + 0 - 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 149769140047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 458 (base 9) to base 10.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 0 = 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-20\/9)*w**(-2\/25))\/(w**(-13\/3)\/((w\/(w\/(w*w**40*w*w)))\/w)) assuming w is positive.\nAnswer: w**(11132\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 13. Solve -z*n - 2*n - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3189 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, r: 4}. Give prob of picking 1 v and 3 r.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 26570124?\nAnswer: -26570121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 590636, 590635, 590634, 590633, 590632, 590631?\nAnswer: 590630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, m: 1, b: 1, v: 1, f: 3}. What is prob of picking 1 m and 1 p?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 63319.85l?\nAnswer: 63319850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*t - 91*t + 180*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.387 greater than or equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oep when three letters picked without replacement from peuueeo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 106003466.1ns in weeks?\nAnswer: 0.00000017527028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nngg when four letters picked without replacement from vngngvcvyvcnny.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**3 - 95*q**2 - 68*q - 985. Give u(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2604 and 2387?\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 203 - 55 = 4*m, 4*y = 2*m + 210. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 14 = -4. Suppose -5*i - 4*y + 20 = 0, y + 16 = t*i + 2*i. Solve -v + i = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 + 6 - 11 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.6 - 0.4. Which is the nearest to 0?  (a) y  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8 - (4 - 0))\/2. Which is the nearest to 0.3?  (a) -0.4  (b) -0.2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - 9*c + 4. Does 3 divide r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i**3 - i**3 + 2*i**3 + (-i + i**2 + i)*(6*i + 10 - 10) in the form f*i**3 + d*i**2 + k*i + m and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 1:30 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -964692 + 964692 - 38*f**2 - 13*f**2.\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2597*d - 2. Let g(x) = -3*x**2. Determine g(r(j)).\nAnswer: -20233227*j**2 + 31164*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**4 - 2*q**4 + q**4)*(1018 + 42*q - 512 - 511).\nAnswer: 42*q**5 - 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*p + 6 = 4*p, 0 = 3*p. Suppose -v*j - 27 = -6. Let c = 15 + j. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -299 + 604. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 5:27 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 235900 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 11:49 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 63833858201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**5 - 6*f**5 + 3*f**5)*(-4 + 1 - 2).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 47\/7) + 4\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12543 - 10?\nAnswer: -12553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, p: 2}. Give prob of sequence lp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 5, -3, 3, -10, -48 in increasing order.\nAnswer: -48, -10, -3, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21683419 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**5\/12 + h**4\/6 + h**3\/3 + 2*h**2 - 25*h. Let r(p) = 4*p**2 + 3*p + 1. Determine -4*r(g) + 3*w(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 5*o - 78 = 0, -6032*o = 4*a - 6036*o - 144. What is the greatest common factor of a and 13906?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + n + 1. Let u be z(0). Suppose 3*v + 15 = -3. Let c be (-46)\/v - 1\/(-3). Calculate the greatest common factor of u and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-3))\/(14\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1881339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z + 2. Calculate o(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3263 = 553*x - 2448 + 27278 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - ((-1020)\/126 + 3). Let p(v) = -v**2 - 4*v - 6. Let r be p(-4). Let i be 18\/12*(-4)\/r. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 378 = -7*l + 11*l, 2*q = 4*l + 756. Let c = q + -602. Is -224 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8*p**2 + 2*p + 1. Let n be a(-1). Let q(t) = t**3 + 8*t**2 - 10*t - 2. Let o be q(n). Let d(s) = 4*s - 1. Is d(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -34 + -10 + 11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.6 and 0.46139?\nAnswer: 6.13861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/4)\/((59087\/(-45508))\/(-161))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 97686?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) 1.33  (c) 1.46  (d) -0.3  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 2*f = i + 18, 0 = 5*i + 4*f + 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291624 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 4*s - 840, 4*b + 631 = 3*s - 0*b. Let t = s + -192. What is the remainder when 201 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 554 - 561. Let y(o) = 3 - 3*o + 0*o + 1. Let m(a) = 6*a - 7. Calculate v*y(t) - 4*m(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7\/(1*8\/24) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -5\/2, -0.58 in increasing order.\nAnswer: -5\/2, -0.58, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.442 + 0.028. Let h = d - 0.27. Let o = -1 + 1.4. Which is the closest to 2\/7?  (a) -5  (b) o  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.011 + 1.989. What is the second smallest value in 1, 0.3, -14, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 34*n - 5. Let j be u(-4). Let m = 128 - j. Suppose -26 = -5*d + m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 143529 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65 - 44. Let p be (-5 + 10)*x\/5. Suppose 5*g - p = -1. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -31*d**3 - 17610*d**2 - 18713*d - 1134.\nAnswer: -(d + 1)*(d + 567)*(31*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14555 or 14551?\nAnswer: 14551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 - 10) + -2 - -20 - -114.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 3 + 23. Suppose 2*p - 158 = z*k, 340 = 5*p + 5*k - 4*k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1.03, 67, -28\/13 in descending order.\nAnswer: 67, 1.03, -28\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least -1\/8557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 3:12 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, d: 7, n: 2}. Give prob of picking 3 o.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12269 is divided by 2038.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25140196*q**4\/9 - 17559028*q**3\/9 + 7358065*q**2\/3 + 17559028*q\/9 + 3066001\/9 = 0. Calculate q.\nAnswer: -1, -1751\/5014, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -296, -309, -332, -371, -432?\n\"Answer: -o**3 + o**2 - 9*o - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4017376 divided by 3?\nAnswer: 4017376\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 70*w - 575. Determine u(12).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10526?\nAnswer: 2, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*j = 292, -5*s = 3*j + 2*j - 1430. Is 48 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8.7, -4\/1491, 2, 2\/5, -51\/2, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89073 divided by 2507.\nAnswer: -89073\/2507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*98*(-78)\/(-1456182)?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/214043045 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.6603 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -10.1, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 325*p**4 - 3430*p**3 - 19725*p**2 - 28530*p - 10800 = 0.\nAnswer: -2, -24\/13, -3\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/(sqrt(2) + 1*sqrt(2) + sqrt(2) + sqrt(2)) + sqrt(5)))**2 - (-5 + sqrt(45)).\nAnswer: -3*sqrt(5) + 85\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 71701496 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (i - 2*i + 2*i)*(0*i + 0 - i - 4) + (i + 6 - 6)*(24 - 32*i - 24) as c*i**2 + d + s*i and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31\/62)\/(49\/4214).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 0*w - 2*r - 324, -5*w = 4*r - 405. Let g = w - -12. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 + 1141*z + 1142.\nAnswer: -(z - 1142)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -622114 + 622114 - 9*s. Let g(x) = 4*x**2 - 1. Determine a(g(k)).\nAnswer: -36*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 116 + -81. Let g = n + -32. Suppose w + 3*v = 45, -g*w + 17 + 79 = -4*v. Does 36 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 32*n**2. Let a(f) = 25473*f**2 - 3*f + 3*f + 0*f - 25480*f**2. Determine a(d(z)).\nAnswer: -7168*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + (sqrt(1700) + 1 + -5 + sqrt(1700))**2).\nAnswer: -13630 + 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -18*o + 56. Let a be b(3). Let l(v) = -14*v. Let s be l(-1). Factor -8 + 2 + 6*r**2 - r**a - s - 15*r.\nAnswer: 5*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*v**5 + 4*v**5 + 6*v + 4*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*o**2 - 8*o**2 - 6*o + 50*o**2 - 2*o**3 + 23 - 16*o**2 in the form x*o**2 + r*o**3 + t + q*o and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m**3 - 19*m**2 + 13*m + 76. What is the hundreds digit of u(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2047 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(52\/13*1\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(1100) + sqrt(1100)*1)) + sqrt(11) + sqrt(891) + 0 + sqrt(11).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6786*v**3 + 27137*v**3 - 6787*v**3 - 6780*v**3 - 6785*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 250744?\nAnswer: 2, 13, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4823888657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 320*o + 1104 = 324*o. What is the highest common factor of 368 and o?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 174*s + 2164 - 549 + 473 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19 - 19 + 10*s)*(13*s - 31*s + 19*s - 38) to g*s**2 + r + w*s and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m**2 + 2643*m + 227530. Determine v(960).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*w + 5*q, -3*q = -7*w + 3*w + 8. Let h be (0\/(-5))\/(3\/(-3) + w). Solve -2*r = -h*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 6*f**2 + 2 - 5.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7170 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-8\/3)\/w))\/w**(1\/4) assuming w is positive.\nAnswer: w**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16358 + 23104. Let m = q + -1960. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.084 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 4:59 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7145 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(4 + 1 + sqrt(567)))**2 - (0 + 2*sqrt(567) + -5))*-4*5.\nAnswer: -189540 - 28440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 9098.14097 to the nearest 10.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -72 - -79. Let j be ((-10)\/w)\/(98\/(-8575)). Suppose c = 0, -4*b - 2*c = 2*c - 100. What is the highest common divisor of j and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 24*d**2 - 54*d - 48. Let u be b(-26). Suppose u*p - 15*p = -88. What is the smallest common multiple of 62 and p?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 9. Let f(o) be the second derivative of -o**3\/3 + 7*o**2\/2 - 6969*o + 17. Calculate f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3882 is divided by 490?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**4 - 6*k**4 + 0*k**4 + (2*k + 0*k - 3*k)*(0*k**3 + 0*k**3 - 2*k**3))*(-k + 1 - 1)*(2 - 5 + 6).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 divided by 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -3. Let x(a) = a**3 + a**2 + a + 1. Let s = 34 - 34. Suppose s = -3*o - 6*o - 36. Let i(h) = -6*h**3 - 5*h**2 - 2*h - 4. What is g*i(q) + o*x(q)?\nAnswer: 2*q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4558?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1280 divide 4662384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 9:43 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1003.53 - 999. Round q to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 5 + 3 = -c, -4*n + 10 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -132 divided by -66\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 20. Let a = 12 - b. Solve 3*d - 2*y - 3*y = -23, a*y - 7 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**3 - 510*m**2 - 2*m - 340. Let l be c(-170). Suppose 27 = -5*o - n, -4*o - 22 = -0*n + n. Put 2\/9, -0.1, l, o in descending order.\nAnswer: 2\/9, l, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 3*p - 2 - 1, d + p + 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 3, 20\/9469?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 9*j**2 - 7*j - 5. Let a(n) = 9*n**2 - 6*n - 5. Let x(z) = 7*a(z) - 6*s(z). Let i = -2242 + 2247. Let p(d) = -14*d**2 + 8. Calculate i*p(m) + 8*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 10104.97 millilitres?\nAnswer: 10.10497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -6. Suppose 2*m = -5*d + 24, -10 = -3*m - d - 0*d. Is m - (0 + (t - 4)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 292261814?\nAnswer: 2, 13, 523, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 83 = -0*g - 5*j, 3*g + 64 = 2*j. What is the closest to g in 5, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/1647 <= 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1*69131798\nAnswer: 69131798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27\/(-6)*(-1)\/((-9)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 4655363?\nAnswer: 6\/4655363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -4. Suppose -4*j + 33 = u, -j - u - a*u + 32 = 0. Sort -5, j, 4 in descending order.\nAnswer: j, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from tmuaapft.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m + 4*v - 32, 0 = -4*m - 0*m + 2*v + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5*i + 86 = 1, -2*j = -3*i - 59. What is the remainder when j is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 509*h + 1524. Let d be r(-3). Sort d, -4985, -4.\nAnswer: -4985, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 5*k - 4*k + 12, -8 = -3*q + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g - 1. Let a(u) = 2 - 6 + 4 + u. Calculate a(b(s)).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of 3*f**5\/80 - 3*f**4\/16 + 3*f**2\/2 - 23*f. Suppose r(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12 - (-6)\/(-3)) + 2. Let l be (1\/(-3))\/((-2)\/k). Suppose u = l*u - 128. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1002121110120 - 12201?\nAnswer: -1002121200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4*o + 34, 7*s + 2*o - 52 = 4*s. Solve 5*k - s = -2*w - 0*w, -2*k + 8 = 2*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 4318?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 - -182. Let o = l + -141. Is -1\/9 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) -2\/3  (b) -1\/7  (c) -26  (d) 118  (e) 2\/7  (f) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 10*d + 2. Suppose 4*t + 3 = 27. Let n be s(t). Suppose 0 = 3*m - n + 8. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49\/15 - 23\/5. Let x = -2678.022 - -2681. Let k = 0.978 - x. What is the fourth biggest value in w, 2, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, 0.3417, -5, -33, 1\/4, 0 in decreasing order.\nAnswer: 0.3417, 1\/4, 0, -5, -33, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(14\/441*9)\/2)\/(216\/(-42))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -15*r + 164. Let c be q(10). Solve -5*p + 41*o + c = 39*o, -p - 4 = 3*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 266 and 1565950246.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 511332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-79794)\/(-88)*2*(3 - 1). Let j = s + -1786. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2. Let u = -0.333 - -0.363. What is the third smallest value in u, -0.3, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197315231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-1)\/(-3))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2668, -5926, -9184, -12442, -15700?\nAnswer: -18958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a. Let g(k) = 18*k - 4. Let t(n) = 20*c(n) - 2*g(n). Let i be t(6). Let o = -74 - i. What is the greatest common factor of 84 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(((l**6*l*l)\/l)\/l)\/l)\/l**(-7\/3) assuming l is positive.\nAnswer: l**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 251937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/16 - (-2)\/(-8). Suppose 0*y + 4*y = p. Solve -22 = -y*o + 2*o + 4*a, -o - 26 = 5*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -4*q**4\/3 + 24*q**2 + 2*q. Let c(l) = 6*l. Let u(z) = 22*c(z) + 4*r(z). Let s(h) = -5*h. What is -4*s(n) - 6*u(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2 + sqrt(75) + -2)**2 + -3)*-5 + 3.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 29, 28, 2 in descending order.\nAnswer: 29, 28, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 2 - 3 - 20785*b + 20783*b - 2.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suxsslssfffss. What is prob of picking 1 s and 1 x?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 130*s**2 + 2*s**4 + s + 139*s**2 - 277*s**2 in the form u*s**4 + g*s**3 + m*s + p + z*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-238)\/74 - 24\/(-8). Let x = -114\/185 - q. What is the nearest to -0.1 in 3, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + c)*(c**3 - 3*c**4 - 2*c**4 + 4*c**4).\nAnswer: 2*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 7*o**2 + 12*o + 50. Let s(m) = -m**2 - 2*m. Determine -q(x) - 6*s(x).\nAnswer: -x**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {x: 3, e: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmpb when four letters picked without replacement from pmtbmpwummmtt?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7293)\/15 + ((-38)\/10 - -4). Let n = -297 - x. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(8 - 1802757\/225346) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000219633 to seven decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.04 - 4. Let o = -0.29 + 11.29. Let t = 15 - o. Sort t, x, -1.\nAnswer: -1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**3\/7 + 16*h**2 + 232*h\/7 = 0.\nAnswer: -2, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -13*w - 201. Let u be v(-27). What are the prime factors of ((-36)\/u)\/((-3)\/765)*10?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + -5. What is the remainder when y\/2*(-296)\/111 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -3, 8\/5.\nAnswer: -3, 3\/7, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-410)\/3444)\/(10\/7)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p - 8. Let i be b(8). Suppose i = 3*t + 2*h - 206, h + 277 = 4*t + 6*h. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5422473 and 9394.\nAnswer: 119294406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 19*b**2 - 15*b - 43. What is the remainder when c(18) is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x**(-1\/4)\/x)\/x)\/x*x)**(-3\/26)*((x\/x**(6\/5))\/x)\/(x\/x**7*x) assuming x is positive.\nAnswer: x**(2051\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -566 - -570. Let b(j) be the second derivative of -6*j - 10\/3*j**3 + 0 + 5*j**n + j**6 - 13\/4*j**5 - 5\/42*j**7 + 0*j**2. Factor b(d).\nAnswer: -5*d*(d - 2)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28836 - -27252.3. Round y to the nearest ten.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -3 - (-7 + 3 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -8. Let t = 7 + f. What is the units digit of t\/(5\/81) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (1 - 4)\/((-8)\/32). Let k be (-4)\/(-10) - 66\/x. Let g(q) = 5*q**2 + 3*q - 12. What is the units digit of g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1366*o = 1520*o - 154 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13231\/54 - 245. Let i(q) be the second derivative of -l*q**4 - 2\/9*q**2 - 1\/9*q**3 + 10*q + 0. Factor i(t).\nAnswer: -2*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10269 less than or equal to -10271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1665*k + 1668*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6 + 3*c**3 + c**3 - 3*c - 3. Suppose 1993 - 1981 = 4*t. Let p(g) = 20*g**3 - 14*g + 14. What is t*p(r) - 14*a(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 278\/45 + -32\/5. What is the nearest to -0.1 in t, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, 1\/276, 4, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.0741272 to 0 dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -30*m - 72. Let x(c) = -65*c - 144. Determine -11*a(g) + 5*x(g).\nAnswer: 5*g + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + g - 1. Let w(t) = -t - 4. Suppose 2*a + 5*u = 12, -4*u + 2 = 5*a + 6. Let n be w(a). Calculate b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 10*x**2 - 9*x + 10. Let t be m(-9). Let a = 5783 - t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w + 23. Calculate c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1566 + -23569\/15. Let m = -26735\/27 - -988. Find the common denominator of r and m.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -29. Let f = 1 - 1. Let l = -0.3 + 0.4. Which is the closest to l?  (a) -3\/2  (b) u  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 q, 1 u, and 1 f when four letters picked without replacement from jruajrfqaqur?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200210 (base 5) to base 4.\nAnswer: 1202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 24 + 12)*(8*c**2 + 5 - 4 - 5*c**2).\nAnswer: 78*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -5*c - 2*d - 14, 3*c = -3*d - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1599 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 9 + 26. Let t(q) = 8*q - 61. Let c be t(8). Is g\/21 + 43\/c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**3 + 6*h**2 - 12*h + 2. What is the units digit of n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hnghff. What is prob of sequence fhgf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5467\/(-14))\/11 + 34)\/((-2)\/(-116))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 6.53*-0.3\nAnswer: -1.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 33.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 6 = 2*d, 7 = -4*d - d - 2*j. Let c(r) = -2*r - 6. Let o be c(-4). Let p = o - d. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 19590191*l - 17315. Let d(k) = -6788*k + 6. Calculate 17315*d(r) + 6*m(r).\nAnswer: 6926*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 29.32447mg?\nAnswer: 29324470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 140823.49208 - -2312?\nAnswer: 143135.49208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00161782 to six decimal places.\nAnswer: -0.001618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5812\/3 + 1144958\/591. Is 8\/7 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 149\/2 + -73. Sort i, 4\/5, 4 in increasing order.\nAnswer: 4\/5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/24)\/((2\/85)\/(30\/(-150))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 14*g**2 + 11*g + 29. Let k be a(13). Let q be -8 - -3*(-2 + k). List the prime factors of -1 - (-260 + 0 + (-15)\/q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 7*k**2 + 6*k + 31. Is x(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + sqrt(208))*4 - sqrt(832)*3 - (sqrt(117) + -3 + (-3 + sqrt(117))**2))*-5.\nAnswer: -55*sqrt(13) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2\/9, 79\/21, -4 in decreasing order.\nAnswer: 79\/21, 1, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + -5 - 2*1. Suppose g = l - 2*q - 2, -4*q - 6 = -l - 3*q. What is the lowest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 161*m**2 - m - 4. Let l be n(3). Suppose -4*b + l - 606 = 0. Calculate the greatest common factor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*d**5 + 14*d**4 - 5*d**2 + d?\nAnswer: -240*d**2 + 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7254\/627)\/1 + 7. Let v = 320\/19 - o. Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 712 = 100*q + l, 4*q = q - 15*l - 21 - 18 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982691212?\nAnswer: 2, 43, 61, 229, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + -5*(sqrt(1573)*-4 + 3 + (4 + (sqrt(1573) - sqrt(1573)*1) - sqrt(1573))))*-4)**2.\nAnswer: -325600*sqrt(13) + 15751904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**5 + 545*l**4 - 1629*l**3 + 1627*l**2 - 542*l = 0 for l.\nAnswer: 0, 1, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102330316.\nAnswer: 2, 11, 2325689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -12484068 and 48007790?\nAnswer: 60491858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5897861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*g)*(2*g**2 + g**2 - 2*g**2) + (-4*g + g + 2*g)*(-6*g**2 + 4*g**2 + 3*g**2) - 2*g**3 - 3*g**3 + 4*g**3 - g**3 + 3*g**3 - 4*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27390175 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3658001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 11020?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 + 12*t - 44. Calculate p(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n. Let g be ((-24)\/18)\/(2\/(-3)). Let m(i) be the third derivative of 0*i + 0*i**3 + 1\/15*i**5 + g*i**2 + 0*i**4 + 0. Determine v(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 6*t**2 + 6*t + 6. Give w(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-3)\/1) - -4. Let i be (x\/10)\/((-1)\/(-20)). Solve 3*q + q - i = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*(3 + -2 + 1)\/(-2 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001 + 111111?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 37 + 29 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2557 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 257019 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8252562, -8252572, -8252596, -8252640, -8252710?\nAnswer: -8252812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from vuhpjvuhjuhpu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -110, 1, -5, -24, -10\/9, 0.\nAnswer: -110, -24, -5, -10\/9, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 10*c - 675 = 0. Let h = -74 + c. What are the prime factors of 1*190 + (-4 - 0) + h?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -15*x - 90. Let m be d(-6). Solve 4*b - 26 + 18 = m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + v**2 - 3*v**2)*(-3*v + 3*v - v) + (2 - v - 2)*(-3*v**2 + 0*v**2 + 6*v**2) + 4*v - 3*v**3 - 4*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 62209686 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**2 + 3725337*x = 0.\nAnswer: 0, 3725337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/9*-1*15\/1. Suppose 0 = -0*s + s - 3*z - 5, -5*z + 105 = y*s. Find the first derivative of -8 + s*w + 11*w - 4*w - 51*w wrt w.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68740214, 274960863, 618661944, 1099843457, 1718505402, 2474647779, 3368270588?\nAnswer: 4399373829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from {p: 12, x: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -130 + 215. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 25*z**2 - 75*z + 52. Calculate the remainder when y(-22) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m**2 - 2 + 3*m**2 - 3*m**2 + (-6 - 3 + 23)*(-m**2 - m**2 - m**2) - m + m + 2*m**2 as c + z*m + l*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 12202 (base 4) to base 10\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 156419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 100485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-19 + 14)\/(5\/(-8)). Let b(j) = -j + 16. Calculate b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4630 a factor of 2797980598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -2\/17, 1\/7, 7\/3 in descending order.\nAnswer: 7\/3, 1\/7, -2\/17, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-68*(-4)\/(128\/12))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9890054 - 2?\nAnswer: 9890052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Suppose -14 = -4*r - 5*j - 5, r = 5*j - 29. Sort q, 4, r.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112041*d - 111880*d + 223451*d.\nAnswer: -470*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.27 - -7.8. Let r = 0.5 - v. Let n = -0.43 - r. What is the nearest to -1 in 4, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 7 = 11*g. Suppose 0 = -3*k - g*b + 152780 - 3722782, -2*k + 5*b = 2379995. Round k to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12617520 a multiple of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of 2*s**3\/3 + s**2 - 3*s. Suppose -42 = -8*h + h. Suppose -h*l - 4 = -5*l. Give x(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 32050 + -122?\nAnswer: 31524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-3*(-4)\/(-8)). Calculate the remainder when (-117468)\/(-1092) + 4\/(-7) is divided by f\/(-9) + 1764\/81.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4416108.\nAnswer: 2, 3, 379, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 16, 3, -26, -77?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*a + 291*a + 526*a**2 - 89*a.\nAnswer: 526*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -326 - 135. Let v = 4150\/9 + l. What is the closest to -3\/4 in 1, 2\/3, -0.09, v?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (97 - (34 + -2) - 37) + (-2 - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 - 0.7. Let p = 1 + -1.1. Let l = 24\/11 - 2. Which is the nearest to 1?  (a) l  (b) p  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 74*t**2 - 20*t. Suppose 3*v + 3 = -h + 16, -3*h - 3*v = -9. What is the hundreds digit of i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 203331021230 (base 4) to base 13\nAnswer: 1c50239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157, -328, -501, -676, -853, -1032, -1213?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 21*p + 5. Let n(i) = 42*i + 9. What is 9*k(q) - 5*n(q)?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3 + 524*s**2 - 1691760*s.\nAnswer: 2*s*(s - 798)*(s + 1060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5238314 divided by 2619157?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 31 = 4*k - 2*k, 4*u + 82 = 5*k. Suppose k*n - 15*n = 0. Put -5, 1, n in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 3*c - c + 3 + 6*c. Let t(s) = 26*s + 8. Let v(k) = 11*n(k) - 4*t(k). Suppose -5*x = 5*i, 4*i + 3*x = x - 2. Determine v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-2*(-2 + sqrt(75) + (sqrt(75) - 4*(sqrt(75) + 0))).\nAnswer: 20 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9 + 285342.\nAnswer: 285341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7215714km?\nAnswer: 721571400000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04 + -0.26. Let n = -4.4 - 0.6. Let o = n + 2. Which is the biggest value?  (a) -2  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5*(sqrt(320) + 0 + sqrt(320) + sqrt(5))**2 - (1*sqrt(5)*1 - sqrt(20)*5)).\nAnswer: -7223 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 41*x - 386. Determine a(11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1570329?\nAnswer: 3, 174481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1765 * -0.4\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2282 + -2491. Let n(x) = 19*x**3 - 6*x - 6. Let b(q) = 665*q**3 - 209*q - 209. Determine l*n(s) + 6*b(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11497 + -11480. Calculate the greatest common factor of d and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**2 + 132270*y + 58374897 = 0. Calculate y.\nAnswer: -437, 44527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0394 - 0.2606. Suppose y - 28 = -6*y. What is the smallest value in a, 2\/9, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 458161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**3*t**2 + 146*o**3*t - 10*o**3 - 181484*o*t**2 - 4*o*t + 7*o + 5*t**2 + 2 wrt t?\nAnswer: -4*o**3 - 362968*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 5*f**2 - 6*f - 4. Let y be v(-5). Suppose -2*s - 42 = -94. What is the greatest common factor of y and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a meter in millimeters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5963594838?\nAnswer: 2, 3, 293, 3392261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-8)*b*b**(-6)*b\/b**(-1)*b\/b**0)**(-9\/2) assuming b is positive.\nAnswer: b**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*n**2 + 126 - 126 - 2*n**4 - n**2 + n**2 + 4*n**4 + (n**2 + 0*n + 0*n)*(n**2 - 4*n**2 + 5*n**2).\nAnswer: 4*n**4 - 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 190, 2, -4, -5, 1, -7, 5 in decreasing order.\nAnswer: 190, 5, 2, 1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2291563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a**(-1\/18)*a)*a**(-1\/4)*(a\/(a*a*a**0*a))\/a**(-8\/5) assuming a is positive.\nAnswer: a**(-107\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283*f**3 + 277*f**3 - 563*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5\/16 - 67\/112. Let b = 9 - 5. Let g be 1 + -1 - b\/(-4). Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -39a9 - 1?\nAnswer: -39aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - 6\/39 - 2297\/(-14677). Let b = h - -80150\/3387. Find the common denominator of 47\/30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k + 2*r - 9, 2*r - 925 = 13*k - 874 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/22)\/(5\/110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001251 rounded to five decimal places?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 29, 0.3, 7, -0.4, 17 in descending order.\nAnswer: 29, 17, 7, 1, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*l + 188 - 881. Let u = -73 - l. Let m(k) = -k**2 + 6*k - 6. Let b be m(5). Put u, -3, b in ascending order.\nAnswer: -3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 9:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -5*n - 8. Let l be d(9). Let r = l + 55. Suppose -4*j + o + 243 = -9, -2*j + r*o = -126. What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -1.2, -1.28, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -500, 3, -11, 4, -2 in increasing order.\nAnswer: -500, -11, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4896) + (sqrt(4896) + (sqrt(4896) - (sqrt(4896) - -2*sqrt(4896) - sqrt(4896))))*-3 + sqrt(4896))\/(-5*-1*sqrt(288)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 12, f: 1, c: 2, r: 3, b: 1}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 176956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-81)*13*(-6)\/(-26)*(-3)\/106.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/(1\/((-28)\/70)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 7*z**2 + 11*z + 17. Let t be w(-14). List the prime factors of t\/15 - 3\/9.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -53, -80, -107?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -442 or 1462?\nAnswer: 1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**2*l**2 - 17*b**2*l - 6*b**2 + 4201*b - 2*l**2 wrt b.\nAnswer: 2*l**2 - 34*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-6 + 7)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (75*h**3 - 28*h**3 + 77*h**3)*(-6 + 3 + 2) to y*h + q*h**2 + l*h**3 + s and give l.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/12*(10 + -8)*-3. Suppose 0 = 3*o + 25 + 5. Let f be (-18)\/o + (2 - 4). Which is bigger: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7266, -5440, -3614, -1788?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 4\/7, 0.5, -2\/3263015, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/(-3) + 2)*-3. Suppose -5*c + 4*o + 4 = -16, -q*c + 4*o = -20. Suppose 0*b + 4*b - 8 = c. Solve -2*f - b*f + 19 = -3*l, -2*f = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7062 and 388141?\nAnswer: 395203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/2)\/75*(20\/(-18))\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1055 (base 7) to base 6\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 484 is divided by 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 24*h**3 + 2*h**2 + h - 5*h**2 - 22*h**3. Let d be q(2). Suppose d*v - 23 = -5. Calculate the lowest common multiple of v and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 12323720 to the power of 1\/2, to the nearest integer?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118 divided by 2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.4402429 take away 912807?\nAnswer: -912796.5597571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -2. Let x = -4993 - -4992. Sort t, 2, 1, x in decreasing order.\nAnswer: t, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -572, -1146, -1720, -2294?\n\"Answer: -574*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 9*t - 1. Let g be (-4)\/6 + (-46)\/(-6). Is l(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 965760667 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2256 and -6.\nAnswer: -1.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + 1. Suppose -3*m + h*b = -4 + 3, -3*b = 2*m - 7. Let v be 6\/(-27) - (-2)\/9. What is the closest to v in 4, 4\/3, m?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 689453379 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4920 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -6936\/11191?\nAnswer: -6936\/11191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 85\/4*t**2 - 18*t + 1\/4*t**4 - 9\/2*t**3 - 44.\nAnswer: (t - 11)*(t - 4)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 + (-20 - -8 - -24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 2610.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7340*a**4 - 291*a**3 + 24*a + 17*a + 2 + 19*a - 7339*a**4 wrt a?\nAnswer: 12*a**2 - 1746*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 6*v + t + 35 = 0, -4*v + 12 = -4*t. Let m = 5 + -14. Let r = m + v. Is r < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(45)*-1*-4)\/(sqrt(9) + (sqrt(576) - sqrt(576)*-2)) + (-3 + sqrt(5) + sqrt(5) + -3*sqrt(5) - sqrt(60)\/(sqrt(588) - sqrt(12))))*-4)**2.\nAnswer: 2416*sqrt(5)\/25 + 253204\/1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 673894?\nAnswer: 2, 13, 25919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -228*s**2 + 32*s - 30. Let u(y) = -46*y**2 + 7*y - 6. Give 3*b(z) - 14*u(z).\nAnswer: -40*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*l**4 + 184*l - 7*l**4 - 177*l wrt l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 - -25. Let q be (297\/(-45))\/(2\/l). Solve -18 = 4*o - 2*i + 3*i, 4*i = 5*o + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*n - 4*a, n + n + 2*a - 30 = 0. Calculate the lowest common multiple of 3 and n\/77 + 230\/7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 781050005, 781050006, 781050007, 781050008?\n\"Answer: m + 781050004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d*g*m**3 - d*m**3 - 186*d*m - 1402*g*m**3 + 11*g*m**2 + 86*g*m + 5*m**3 wrt m?\nAnswer: 12*d*g - 6*d - 8412*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -51*f**2 - 8. Let s(c) = c**2 + 5. Give s(b) + x(b).\nAnswer: -50*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -79 + 82.3. Let z = 2.7 + b. Let t = -2 - -4. Is z not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4, 2, 10, 20, 32?\n\"Answer: s**2 + 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 113 - 101. What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) -50\/13  (c) -1  (d) -4  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -307.543037 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 879 - 2\/(-6)*3. Let v(g) = -g**2 + 19*g - 58. Let z be v(15). Suppose s = -z*f + 13*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -4*s**6\/33 + 18*s**5\/55 + 29*s**4\/11 - 26*s**3\/3 + 96*s**2\/11 - 32*s\/11 + 83. Let z(v) = 0. What is v?\nAnswer: -4, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*u - 213*u + 25 = 0. Let w be ((-4 - -7) + u)\/(-2) - -4. Solve 5 = -w*x + 10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*g**4 + g**2 + 10*g - 12*g + 2*g - 6*g**3 + 13 - 11 to the form d*g**4 + j + o*g**2 + k*g**3 + p*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 3:24 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -144*t**4 + 125*t**4 + 488*t**4 + 0 + 0 + t**4 + 3*t**4 + 3*t**4 - 4*t**4 + (2 - 2*t**2 - 2)*(-2 - t**2 + 2).\nAnswer: 474*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -51, -332, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -17 + 11*j - 23 + 46 - 1667*j**3. Let i be n(6). What is i rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.05 - -0.05. Let w(u) = -4*u + 55. Let v be w(22). Let p = -265\/8 - v. Which is the second biggest value?  (a) p  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -132*(-22)\/198*432\/(-264)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 633167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -95 - 232 - 222*o + 133 - 113 - 320*o with respect to o.\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*k + 22*k = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 292 and 20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**2 + 2*s**3 + 0*s**2 + (-2*s + s + 7*s)*(-2*s**2 - s**2 + s**2) + 2*s**3 - s**3 - 3*s**3 + (1 - s**3 - 1)*(-4 + 2 + 1).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, 14, -1\/50, -3, -10.9?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 784005876 to the power of 1\/2, to the nearest integer?\nAnswer: 28000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -37*x. Let q(s) be the second derivative of -2*s**3\/3 - 307*s. What is y(q(k))?\nAnswer: 148*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + i = 20. Suppose i*n = -7 + 75. Let s = n + -16. Solve -s = -b - 0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -n**2\/2 + 3*n - 1. Let c be j(6). Let q = 5257 - 5253. Sort q, c, 10.\nAnswer: c, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/2278 and -111\/20.\nAnswer: 22780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289344*l + l**2 + 1 - 1 + 289344*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 595?  (a) 0.3  (b) 1  (c) -17\/10  (d) 2\/5  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3238.86 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10753*o*z**2 - o + 39*z**2 - 82*z + 2 with respect to o.\nAnswer: 10753*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 28, 3*g - 963306 = 4*a - 7*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*n + 43*n - 9*n**2 + 345*n**3 + 198*n**3 + 3*n**2 as u + s*n**3 + j*n**2 + c*n and give s.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 - 49.2. What is the nearest to -1 in 4\/7, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -637, 281, 1199?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3462)\/(-6924) + 9\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63007.\nAnswer: 7, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19651102*r**3 + 12743144 wrt r.\nAnswer: 58953306*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - f - 2317, 5*w - 2*f = -0*f + 2314. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**7\/2520 + v**5\/120 - v**4\/12 + 4*v**2. Let x(r) be the second derivative of l(r). Solve x(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 7 - 2)*(-6*n + n + 2*n)*(-5 - 1 + 4).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 556\/3336*12\/(-38).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 4012803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3\/w**(4\/7))**(-10\/17)*(w**(2\/5)*w*(w\/w**(-3\/2))\/w)**(1\/23) assuming w is positive.\nAnswer: w**(-2097\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224558519?\nAnswer: 283, 793493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 240\/61 less than or equal to -1.163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*h = -x - 18, 0 = 5*x - 5*h - 70. Let t be (-2)\/(-3)*x\/4. What are the prime factors of (12 - 1)\/(t - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/20)\/(56\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**3 - 20*v**2 + 23*v + 42. Let t be q(-11). Suppose -t*d + 3890 = -10742. Is 59 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**7\/14 - 14*t**6\/5 + 579*t**5\/20 + 41*t**4\/2 - 266*t**3 - 588*t**2 + 2*t - 48. Solve v(b) = 0 for b.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -439431  (b) 2  (c) 3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, m: 1, h: 1, x: 1}. Give prob of picking 1 h, 1 q, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1385 = 19*o - 14*o + 5*b, -1078 = 4*o - 2*b. Is -273 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(136)*-2 - sqrt(136)) - sqrt(136))\/sqrt(8).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: a308 (base 13) to base 15\nAnswer: 69e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + (1 - 2\/((-8)\/(-12))). Suppose f*z - 3 = -l, 0 = 4*l - l - 4*z - 9. Which is bigger: 5\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5441*k - 3536 = 4999*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24886 by 5.\nAnswer: 24886\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 184 - 108. Suppose 5*p - p - b = 0. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.045 and 709643.\nAnswer: -31933.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3174565?\nAnswer: 5, 179, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(77)*2*3 - sqrt(77) - 4*(-2*sqrt(77) - sqrt(77)))\/(2*sqrt(275) - (sqrt(99)*-2 - sqrt(99))).\nAnswer: -2 + 17*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32629714, -32629694, -32629648, -32629564, -32629430, -32629234?\nAnswer: -32628964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 8:57 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*i + 252 = 579. Put 4535, i, -5 in descending order.\nAnswer: 4535, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1038 divided by -6.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.11 and 1027.\nAnswer: 1027.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 753 + -835. Let d = -87 - f. What is the closest to 3 in 1, -1\/7, -23, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 8*s**2 - 3*s - 11. Let c be u(9). Let n = 54647 + -54088. What is the highest common divisor of n and c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p + 4. Suppose -36 = g - 5*g. Let c = 5 + 7. Let f = c - g. Determine v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2608*t**2 - 2177 + 2177 to v + a*t + k*t**2 and give k.\nAnswer: 2608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 6*i. Let g be d(-6). Suppose 12 = 2*h - 5*v + 3, g = -3*h - v + 39. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, o: 3, b: 2, a: 4}. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 304 + 44. Let u be (21255\/514)\/(c\/(-81)). Let j = 1\/14906 + u. Find the common denominator of -35\/22 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 31, 32, 33, 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 3*a**3\/5 + 42*a**2\/5 - 3*a\/5 - 42\/5 = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**10*c**(-17)\/c)**7 assuming c is positive.\nAnswer: c**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 56 + -10. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 8*y**2 + 9*y + 8. Let d be z(8). Let g = 46 + d. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29196 and 2412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.9477268 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 - -18. Let i = 14 - 30. Let b = z - i. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 57 = -27. Suppose -l*c + c + 635 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -235 - -152. Let g = z - -147. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 3\/5, 4, -375, 1.\nAnswer: -375, -1\/7, 3\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 134291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + 0.1. Let t(h) = -h**2 + h - 2. Let w be t(-4). Let f = 19 + w. Which is the biggest value?  (a) d  (b) 0.4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 + 0.63. Let l = k + 0.17. Suppose -3*b - 6 = 3*o, -4*b = -5*o - 0*o + 8. What is the nearest to l in -0.05, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1414, -1433, -1478, -1561, -1694, -1889, -2158, -2513?\nAnswer: -2966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 + 5 + (2 - 1) - (-9 + 11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f**(-1)\/f)\/f)*f\/f**(3\/5)*f)\/(f\/f**4*f*f\/f**(1\/9)) assuming f is positive.\nAnswer: f**(293\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 9*y - 18780. Give x(143).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 0 + -7 - (-379 + 374)) + -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 2, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ljjr when four letters picked without replacement from {r: 4, l: 3, i: 2, n: 2, j: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10595 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 6*d - 3. Let h(t) = -2*t - 4. Let l be h(-8). Let s = -8 + l. Is q(s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1021517807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = 4*j + 3*h - 139, -5*h = 4*j - 109. What is the remainder when 59 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 845490 to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 175527*s. Let n(d) = -d. Calculate q(n(z)).\nAnswer: -175527*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/228 and 121\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*z - 7 - 4*z - 9*z + 9*z wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3899*q - 658965. What is v(-169)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 11  (b) 2  (c) -2  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-5)\/(-2)*100\/750).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 313 + -241. Let r(a) = 26*a**2 + 21*a - 23. Let l be r(1). What is the highest common factor of l and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2052, -4045, -6024, -7983, -9916?\n\"Answer: j**3 + j**2 - 2003*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g + 4. What is the tens digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 4)*(3*q - 2*q**5 - 3*q) - q**5 - 2*q**5 + 4*q**5 + (4*q**2 + 0*q**2 - 3*q**2)*(-2*q**3 + 3*q**3 + q**3) + 1 - 2*q**5 - 1.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 307073 and 2498375.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 423 + 428 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000013868 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 4520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - o - 2. Let d(a) = a + 8. Let w be d(-6). Suppose 5*t = -w*t. Calculate c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.5, -2015, 1\/4, 1283, -2\/9 in ascending order.\nAnswer: -2015, -2\/9, 1\/4, 0.5, 3, 1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 6*m + 27 = -3*m, -26 = -2*p - 5*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.057, -10\/3, -0.1337?\nAnswer: -0.1337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10011 + 131023201?\nAnswer: 131033212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*b + 9. Let y = -168 + 256. Let w = y + -86. Solve f + w = -b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2 - 2*c + 9. Let b be w(-5). What are the prime factors of -1 - 5\/(-7) - 11440\/b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -565 (base 11) in base 15?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4 - j + 1 + 1. Suppose 5*t - 4*t + 2*m + 8 = 0, m - 29 = 5*t. Let f(u) = -1 - 1 - 3 + u. Calculate t*f(o) - 5*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j\/(j*j**(1\/2))*j)\/j))**48)**(-33) assuming j is positive.\nAnswer: j**(-2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/((-448)\/833))\/((-8)\/(-2)*(-203)\/928).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19\/8 + 163\/72. Let z be 42\/(-4)*(-4)\/(-171). Let x = z + -8\/19. Find the common denominator of x and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 11, 4, 31 in decreasing order.\nAnswer: 31, 11, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*h + 4. Let w(f) = -30*f**3 + 13*f**2 + 17*f**3 + 5*f + 6*f - 10 + 14*f**h. What is the least common multiple of 2 and w(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r + 222*r = -792 + 76 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -339*o**2\/2 + 986*o + 1405. Differentiate d(i) wrt i.\nAnswer: -339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2265 divided by -1\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {i: 3, v: 3, u: 1, r: 3, d: 2, c: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -b**5\/20 + 5*b**4\/6 + 11*b**3\/6 - 7*b**2 - 761*b + 1. Determine n(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*g + 11*g - 110. What are the prime factors of 54*(g\/35 - 134\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 222 divided by -4.\nAnswer: -111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -9*k**3 + 16*k**2 - 16*k. Let c(o) = 10*o**3 - 16*o**2 + 16*o. Let z = -148 + 143. Let a(b) = z*c(b) - 6*v(b). Factor a(n).\nAnswer: 4*n*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by -10.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*h - 3*c, 3*h - 4*c - 6 = 5*h. Suppose n + 2 = -h. Let s(u) = -u**3 - 9*u**2 + 5. Calculate s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 22 + (12 - 61) + 35. What is the greatest common factor of l and 10328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2636979.3 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - d - 1. Suppose 2*h - 15 = -3*h. Let y(s) be the second derivative of -s**4\/6 + s**3 + s**2\/2 - 3*s. Let b(g) = h*i(g) + y(g). What is b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.9 + -5.7. Let w = x - 0.2. Let q be (-3)\/(-9) + 15\/9. What is the nearest to -1\/3 in -1\/8, q, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**2 - 28*k - 95. Let h be y(-5). Which is the fourth biggest value?  (a) 4  (b) -9  (c) -1\/6  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 273\/26 - 6\/12. Solve 46*s = 44*s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**5 - 885*o**4 - 65706*o**3 - 63942*o**2 + 65709*o + 64827 = 0. Calculate o.\nAnswer: -147, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7 = -j, -18*b = 2*j - 20*b - 2. Suppose -8*w + 7*w + 357 = -4*p, 0 = -j*w - p + 1110. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*d + 2*g + 5 = 0, 5*d = 3*g + 1. Let s be 20\/(-8)*((-86)\/(-35) + -2). Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -126, 11, -3 in ascending order.\nAnswer: -126, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118024*v + 58987*v - 5291 = -59005*v - 1451 for v.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 557 - 557 - 72*a**3 - 76*a**3.\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 36 = 4*v, 3*v + 3*q + 27 = q. Let w be 13\/3 + 3\/v. Factor i**3 + i**3 - 2*i**2 - w*i**3.\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.22, 640, 15738 in increasing order.\nAnswer: 0.22, 640, 15738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(0 - (-4)\/6). Let m = 0 - 0. Suppose m = w - 0*w + 3. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s. Let v be b(-1). Suppose v*p - 22 = 3*p. Let z = 1 + p. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 198106355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p - 8. Let k be c(4). Suppose k = -4*y + 2*q + 80, 0*y = 4*y + q - 68. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 11*g - 66. Let x be n(-19). Let q(j) = -1 - 504*j - j**2 + x*j. Calculate q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, h: 1, m: 2, a: 1, i: 2}. What is prob of sequence hgmi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 94 - 86. Suppose -4*r - u*r = -3192. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*k + 6*k + m = -m + m + 91, -171 = 15*k - 2*m for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of g**7\/35 - 7*g**3\/6 - 7*g**2\/2 - 4. Let m(w) be the second derivative of h(w). Differentiate m(q) wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3577\/(-146))\/(3\/(-6)). Suppose -98 = f - 3*f. Is f >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 4*z**2 - 4*z + 3. Let g be l(-5). Let d = -1799 + 1804. Put 29, 0, d, g in decreasing order.\nAnswer: 29, d, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -971 + 963. Let c(d) = 28*d**2 + 85*d - 2. Let i(o) = -80*o**2 - 254*o + 6. Let z(b) = t*c(b) - 3*i(b). Find the second derivative of z(a) wrt a.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 19 = -5*l, 7*l + 11 = 4*l - 5*p. Suppose 0 = l*g - 34 - 92. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21102 (base 4) to base 7.\nAnswer: -1506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334162 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 49123421 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2063, -16835, -56937, -135035, -263795?\n\"Answer: -2111*q**3 + q**2 + 2*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**2 + 1835184*o + 3670376 = 0.\nAnswer: -2, 917594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 76660848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 11329979249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 279512.224 rounded to the nearest one hundred?\nAnswer: 279500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*m + 6*m + 6*m + 12*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -9*r + 147. Let q(n) = -n**3 + 20*n**2 + 21*n + 8. Let u be q(r). Suppose 18*m = u*m. Which is the biggest value?  (a) 7\/4  (b) -3\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 497742, 497745, 497748, 497751?\n\"Answer: 3*f + 497739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2*(-364)\/(-3) + (-30)\/(-90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*m = -12. What is the third derivative of 2*l**4 + 3*l**4 - 2*l**m - 7*l**2 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 8855595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 1 - 3)*(-23 + 259*p - 236*p - 179*p) to the form x + c*p and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of p**4\/12 - p**3\/3 + p**2 + p. Let g be h(7). Let f = g + -24. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + k + 4*s - 92, 0 = -2*s - 8. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -3*q**6\/10 + q**5\/20 - 91*q**4\/12 - 5*q**3 + 3*q**2 + 1627*q. Find the second derivative of b(i) wrt i.\nAnswer: -108*i**2 + 6*i - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from lelqlykrqrkq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 2, l: 3, d: 4, b: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 2*w + 1. Let i be u(3). Let o(d) = -7*d**2 - 1. Let m(x) = 8*x**2 + 1. Let r(s) = -4*m(s) - 5*o(s). List the prime factors of r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -14. Suppose i = -u - 0*u - 5. Let l = u - -5. Solve -2*g + 3*a + 11 = l, -5*a = -3*g - a + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 714865464.\nAnswer: 2, 3, 307, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -104 - 163?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (27 - (-1 + 10)) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 6 + 3 = 0. Suppose 2*i - 5 = f. Suppose -5*w = 2*p + 16, 4*p + 4*w = -0*p - 8. Sort i, 1, p in ascending order.\nAnswer: 1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (5 - 3))*(-4 - -22). Solve -l = 2*l + 5*n + 26, l = -4*n - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-6))\/(-10*15\/(-2250))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 645379426*o - 510984737.\nAnswer: 645379426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1356)\/(-24) + 3\/(-6). What is the second derivative of 246*w**2 + 78*w + 129*w - p*w - 64*w + 176*w wrt w?\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -824457*t**2 - 1993969*t.\nAnswer: -1648914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181*u**2 - 49*u**2 - 46*u**2 - 48*u**2 - 49*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8 from -75.93.\nAnswer: -83.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 14*b**2 + b + 16. Let h be z(-14). Solve q - 3*l = -2*q + 3, h*l = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4) + 25*6\/264. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 152  (b) -0.4  (c) -1\/17  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-30)\/18)\/5*0)\/1. Solve -y - 2*d + 3 = f, 2*y + 2*d + 2 - 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8 + -7)\/2 - 10\/(-4). Suppose 4*n + 5*x = 300, -4*n - 5*x = -f*x - 288. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -7*(-1 + (-26)\/(-14)). Let t be 26\/10 - s\/15. Solve -5*g - 9 = 3*x - t, -g = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122 (base 3) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -52?  (a) 0.4  (b) 19  (c) 1  (d) -0.4  (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.064 and 0.3?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, -5, -0.044, 4, -24, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 80 divided by -1252\nAnswer: -20\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5449786 is divided by 95.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 155989105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -37 - (-3 - (-11 - -15))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) -0.2  (b) 2\/65  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/2)\/((-2)\/13). Let g be (0 - 3) + 6\/6. Let n = p + g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-136)\/85)\/((-12)\/(-75))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4343 + -0.5343. Suppose 4*o + 0 - 11 = 3*d, 5*d = -o - 3. Suppose -o*l + 6*l - 4 = 0. Sort c, -19, l in decreasing order.\nAnswer: l, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -56 - 8*g**3 - g**4 - g**2 - 52 + 3*g + 112 in the form n + d*g**2 + c*g + b*g**4 + x*g**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of l**4\/8 - l**3\/2 + 3*l**2\/2 + 3*l. Let u(n) be the first derivative of o(n). What is the derivative of u(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 180 and 7506?\nAnswer: 75060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -3\/4  (c) -92.7  (d) -0.5  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8476)\/4466852)\/(1\/34)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24 and -14.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 2. Let u(n) = -3*n + 2*n - n**f + 5 - 6. Let p(d) = -10*d**2 + 3*d - 1. Let i(w) = 3*p(w) - 3*u(w). What is the second derivative of i(m) wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 + 41. What is the nearest to -1\/2 in z, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 253638 and 3969?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 6:54 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93 = -12*w + 153 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 5\/3, -0.5 in increasing order.\nAnswer: -16, -0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.77 + 6.57. Let b = x + -6.4. Let z = -0.5999952 - b. Round z to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(((sqrt(11)*-2 - sqrt(11)) + -1)*-6 - sqrt(132)\/(1*sqrt(1200) + sqrt(12))))**2.\nAnswer: 2364*sqrt(11)\/11 + 39205\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*n - 998 = -1897 + 424 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1053*i + 32 - 828*i + 1305*i.\nAnswer: -576*i + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -26*k**3 + k**2 - 21*k + 33. What is m(3)?\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3701605cm to kilometers.\nAnswer: 0.000003701605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2120201 + -2201122022?\nAnswer: -2211020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6063 (base 8) to base 10\nAnswer: -3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tms when three letters picked without replacement from {v: 5, s: 1, t: 3, m: 1, r: 4}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 993066 is divided by 231.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.3363 centuries in decades?\nAnswer: 453.363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 1327*i**3 - 122*i**2 + 2*i + 4. Let a(u) = 1331*u**3 - 123*u**2 + 3*u + 6. Let s(w) = 2*a(w) - 3*l(w). What is the third derivative of s(c) wrt c?\nAnswer: -7914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5700636, 5700634, 5700632?\n\"Answer: -2*j + 5700638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011450483583 to six decimal places.\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 118\/(-885) - (-1490)\/(-75)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*3*(-3)\/6. Suppose -c = k, 1 = -4*c - z. Solve -x = 2 + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 101008 and 116348?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/(-77))\/(3\/4*(-124)\/2046)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -428, -1216, -2386?\nAnswer: -3938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 857, 1245, 2283, 4295, 7605, 12537?\nAnswer: 19415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 8*z - 3*z - 50, -4*m = z - 19. What is o in 3*o**3 + 10*o**2 - 3 + 14*o - o**3 + z + 2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -16 + -2 + 10 + 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44720163143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 - 3. Let x = 166 - m. Suppose 13*a - 2316 + x = 0. What are the prime factors of a?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 222*i + 5*i**2 - 96*i - 6 - 130*i as z*i + k*i**2 + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -34, 0.1, 5, -2\/7, 22.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86 = -2*p - 8*t - 3*t + 2*t, 5*t - 40 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3844, 3846, 3848, 3850, 3852, 3854?\nAnswer: 3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 p when four letters picked without replacement from raiaiiiiiipipiar.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/114389 and -76\/33.\nAnswer: 343167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 0. Let w be 24\/y*(-3)\/(-2)*-2. Solve 0*l + 16 = -w*p + l, 5*p = -2*l - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34389241 is divided by 11463073.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (8\/(-1) - -5). Solve -3*o = -5*z - 14, n = -2*o - 2*z + 3*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 9 = -5*w. Let c(k) = -1. Let d(l) = -14 + 130*l**2 + 16 - 128*l**2. Let p(t) = w*c(t) - d(t). What is the first derivative of p(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2510722 divided by -146\nAnswer: 1255361\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and (-2 + 3)\/(-2*(-4)\/160)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4213\/6324 + 1\/2108. Let x be (0 - 0)\/(3 - 1). Let l = s - x. Which is the third biggest value?  (a) l  (b) 0  (c) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2*sqrt(128))**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (28\/90)\/(0 + 8\/10). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 290052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 912 and 6954?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 22 = 22. Calculate the lowest common multiple of 51 and o.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 38*v**2 + 7*v + 5. Let c(g) = g**2 + g + 2. Let x(a) = -6*c(a) + h(a). Let r = 51 + -45. Is x(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -4, -1, 1.071, 3, -102.\nAnswer: -102, -4, -1, 2\/9, 1.071, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 12:54 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-317977\nAnswer: 63595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -453\/4 + 112. Which is the closest to 1?  (a) -1\/4  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bppbepbpbbbpbqppbbq. What is prob of picking 2 b, 1 p, and 1 e?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 23\/5894354?\nAnswer: 23\/5894354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -10, 6, 59, -3, -1, 2 in descending order.\nAnswer: 59, 6, 2, -1, -3, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -406 - -408. What is the third derivative of -224*l**6 - 209*l**2 - 69*l**2 - 74*l**n + 149*l**2 wrt l?\nAnswer: -26880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -0*d - 6*d. Suppose -5*l - 631 = -z - d*z, -2*l - 482 = -3*z. Suppose -5*i + 7*i - z = 0. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**4\/114 - j**3\/57 - j - 14. Solve y(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -318 - -37.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(-1) + 3 + (-8)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8324 + -11744. Put -1, z, -2 in ascending order.\nAnswer: z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.69 times -1.12?\nAnswer: 1.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 17*d - 7. Let y be v(-13). Let c = 27 + y. What is the remainder when (-8)\/c + (-155)\/(-4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1959873\/392 - 19999\/4. Find the common denominator of b and -95\/6.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 494.66109 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -208 + 226. What is the remainder when 157 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/10 and -31\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 72, 11, 2, 18 in ascending order.\nAnswer: -5, -4, 2, 11, 18, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 9, x: 2, c: 7}. What is prob of sequence zxxc?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-12)\/i**(-13) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162)*-2 - (sqrt(40) + sqrt(10))\/sqrt(5))*1 + 5)*-5.\nAnswer: -25 + 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 22 = -4*y. Let m be y\/3 + 5\/15. Is m >= 13\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 4*h - 20, -5*o - 3*h + h + 10 = 0. Let r(x) be the third derivative of -1\/8*x**4 + 3\/40*x**5 - 5*x**2 + 0*x**3 + 0*x + o. Factor r(f).\nAnswer: 3*f*(3*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**2 - 2*l - 17*l - l - 70 + 16*l = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 7:43 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 31*a**2 - 67*a - 220. Calculate the remainder when p(-22) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/(16\/14) + -7)*(-2)\/6. Solve -8*f - 32 = -q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - 0 - 36400\/1625)\/(183\/90 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13210 - -22?\nAnswer: 13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017412847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212506 divided by -51.\nAnswer: -212506\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88788 and 22344?\nAnswer: 3373944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (k + 0*k + 0*k)*(2 - 3 + 2) + 0 + 0 - 2*k + 2512*k - 5163*k + 2507*k + 2*k + 2*k - 2*k as i + c*k and give c.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + 1\/(-5) + (-19)\/5. Is (6\/6 + m)\/(2\/53918) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 0 + 0*k + 3081\/4*k**2 - 3\/8*k**3 = 0.\nAnswer: 0, 2054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(20)\/sqrt(144))**2*-5.\nAnswer: -4525\/36 - 25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 4*s - 5*u + 25, 4*s - u = 35. Suppose -4*q = -s*q + 2*a + 2, a = 4*q - 5. Solve -4*p - q + 30 = 4*i, -3*i - 3 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 126645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**2 + 3*v. Let q be (1 - 0) + (-7 - -4). Let f be x(q). Suppose f*h = -2*u + 12, 0*h - 2*u + 4 = h. Which is greater: 7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 38237.92ml?\nAnswer: 38.23792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/((-30)\/(-4)))\/(60516\/(-67240))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*1*(-24)\/51?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4093604339455 and 58?\nAnswer: 4093604339513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9374 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-20 + 24)\/((-1420)\/213) + 2\/((-20)\/(-251))\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 35\/(245\/84) + 18. Solve 4*z - z - 3*k - u = 0, k = -5*z + 32 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**5\/7 + 479*z**4\/7 + 101490*z**3\/7 + 864632*z**2 + 20766368*z + 177340800 = 0. What is z?\nAnswer: -87, -28, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1764 + -1764 - ((-8)\/4 + 3 + 33\/9).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -8*n + 21. Solve 3*z - 12 = -3*h, z + 6 = 4*h + n*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 79904996 and 2892.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000423561188 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 38*u + 68. Does 35 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -903450, -903461, -903474, -903489, -903506, -903525?\n\"Answer: -q**2 - 8*q - 903441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/2 and 17\/155690.\nAnswer: 155690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kuptxhk. Give prob of sequence kh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4123 (base 8) to base 11.\nAnswer: -1668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffyyffyfffyf. Give prob of picking 3 y and 1 f.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**3 + 5958*u**2 - 671397*u - 677358 = 0.\nAnswer: -1, 121, 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 13)\/(-7 + 4307\/657).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11732\/5 or -2347?\nAnswer: -2347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 424146 or 424141?\nAnswer: 424146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m - 7*m + m in the form p*m + i and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*w - 592176*w**2 - 13*w + 592103*w**2 to the form u + i*w + z*w**2 and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*f + 28*f = -748286. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 5:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) -2\/5  (c) 1\/20  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -795\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -289037531*d**4 - 26199*d**2 - 29*d + 12 wrt d.\nAnswer: -6936900744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2175 + 3518 + 11 - 48)*(1 - 1 + 7*x**3) to a*x**3 + h + f*x + k*x**2 and give a.\nAnswer: 39592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*g + 384159 = 383279 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - o**2 + o + 1. Let m(x) = -10*x**3 - 4*x**2 + 4*x + 4. Let w be (-2)\/((-60)\/(-86)) - (-1636)\/(-12270). Determine w*m(a) + 12*r(a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*h - 3*o - 4, 3*o = -4*h - 5. Let m = 6 + -1. Sort h, m, -0.2.\nAnswer: -0.2, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 3\/4*p**4 + 19*p**2 + 0*p**3 + 2 - 1\/40*p**6 - 1\/20*p**5 + 0*p. Factor h(r).\nAnswer: -3*r*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 13*l**2 - l + 4. Let o(c) = 81*c**2 + 4590*c + 4617. Let w(i) = -6*k(i) + o(i). Let w(j) = 0. What is j?\nAnswer: -1531, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.87192 - 0.12808. Let m = 824 - 818.87. Let i = m - 0.13. Which is the third smallest value?  (a) -9  (b) i  (c) o  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56, -128, -256, -470, -800, -1276?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, l: 4, d: 1, a: 8}. What is prob of sequence llv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i. Suppose i = 8*c - c - 294. Calculate the remainder when 82 is divided by c\/4*8\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 6:44 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3208 and -0.33?\nAnswer: 1058.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7174 + -236705\/33. What is the common denominator of -59\/327 and w?\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.16, 2\/9, 174, 106?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -219+12.7\nAnswer: -206.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*d + 8. Suppose 375 = 2*i + 3*i - d*x, -2*i + 129 = 5*x. Suppose 4*f + 2*l - 4*l - i = 0, 5*f = -4*l + 103. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13112 - 214341?\nAnswer: -201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -10*l**2 + 2*l - 1. Suppose 2*s + 8 = -0*s - 4*g, -2*g - 6 = 0. Let w be 0 - 8\/(-2)*1. Suppose -s*r + w = 2*r. Give b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 - -4)*-1*5. Suppose 2*j - 3 - n = 0. Calculate the least common multiple of j and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.07 and 39.\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-2 + 8 - 7) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-885)\/(-60))\/((-1)\/176). Is n not equal to -2597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 124499, 249000, 373501?\nAnswer: 498002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 3*h. Suppose h*b = b - 143. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2473*o + 2454*o = 247 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 times 3?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of d**6\/360 - d**5\/15 - d**4\/12 + 4*d. Let k(h) be the third derivative of l(h). Let c be k(6). Are c and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1476681 or -1476680?\nAnswer: -1476681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -10. Calculate the remainder when 1 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, 174\/5, 5, -3, -0.2?\nAnswer: 174\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2231 - 1891 + 786 = -417*n. Solve 8 = n*j + 64 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-3))\/(2\/48*2). Solve r - 2*r - 9 = 4*o, -a*o - 6 = 2*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 878683 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 i when four letters picked without replacement from mbbibfbbbfim.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4914)\/(-5) - (-8)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6*4*(-4)\/(-12). Suppose m = 3*c + c. Let t(j) = j**2 - 9*j + 4. Let z be t(9). Solve g = -c*y + 5*g + 8, -z = -y + g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 561.8221 millennia in years?\nAnswer: 561822.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2098.3 to the nearest 10.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 1:05 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/45 and -58\/1035585?\nAnswer: 1035585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2472*f + 7755. Determine q(-3).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2195 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mammaaammm. What is prob of picking 1 m and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 20, 75, 168, 305, 492?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u**3 - 2*u**2 + 3*u + 4. Let p(f) = -30 - 29 + 3*f**3 + 2*f**2 - 2*f + 56. Calculate 2*l(j) + 3*p(j).\nAnswer: j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -299  (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41837, -27, 12, -4 in ascending order.\nAnswer: -27, -4, 12, 41837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -16  (b) 1703  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 484439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 278, 556, 832, 1106, 1378, 1648, 1916?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*v + 14 = 32*v. Is v\/(-2)*85890\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/12)\/(2\/66). Let r = p + 36. Let y be ((-4)\/10)\/(20\/r). Which is greater: y or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 4*q - 93, 2*p + 4 = -q + 71. Let n(a) = a**2 + 6*a - 10. Let z be n(-7). Let r be 43\/3 + 1\/z. What is the greatest common factor of r and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7 + -2 + 4 + -1. Suppose 0 = -4*f + w - 0. Suppose f*m - 60 = m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.4 + -0.4. Let w = 0.7 + f. Suppose 0 = m - 4*m - 3. Is w not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -678555*b**3*x - 21963*b**3 - x - 15 wrt x.\nAnswer: -678555*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**2\/5 + 31*p\/5 - 6 = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 51 = 13. Let m be (-2)\/(-7) - u\/(-7). Suppose m*v - v + 3*o + 568 = 0, 0 = -o + 2. What is v rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -116*r**2 - 154*r**5 - 95*r**5 + 95*r**5 + 3461*r - 122*r**5 - 3457*r wrt r.\nAnswer: -16560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(112) + -1*sqrt(112) + -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.060769 take away 0.221?\nAnswer: -0.281769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.9 + 430.2.\nAnswer: 428.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2801*p + 8544*p - 2883*p - 2862*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 1.7, 9?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -131*o + 22 - 123*o - o**2 + 389*o - 131*o. Give s(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -6*d - 15. Let g(f) = f**2 + 1. Suppose q - 37 = 3*i, 2*i + 45 = q + i. Let p(w) = -2*w**3 - 5*w**2 + 47 - q - 2*w**2. Determine d*g(u) - p(u).\nAnswer: 2*u**3 + 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27554 and 50048?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**5\/3 - 25*w**4 - 949*w**3\/3 - 4432*w**2\/3 - 1708*w - 1568\/3 = 0. What is w?\nAnswer: -14, -8, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 499 - 663 - 401 = -186*b + 1667 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(32)\/sqrt(4) + sqrt(8)) - -1*sqrt(26)\/sqrt(2)) + -3.\nAnswer: -3 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l - 4*l - 2*l + 99 - l + 2*l.\nAnswer: l + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 8*i**2 + 11*i - 10. Let g(n) = n**2 + 1. Let c(s) = g(s) + y(s). Let m be c(10). Let d(a) = 553*a - 2. Is d(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63 and 95571.\nAnswer: 95571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oddo when four letters picked without replacement from {d: 2, o: 4, l: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0 = 6. Let s = 115 + -120. Sort s, -1\/4, m in increasing order.\nAnswer: s, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 1\/8, -685, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4241965.\nAnswer: 5, 7, 13, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 201 = -6*f + f, 0 = -4*f + u + 162. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + (-8 - (5 + -3 + -20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.1 - -5.1. Let g be 6\/(-2)*(-2)\/12. Let s(l) = -l**2 - 2*l + 3. Let f be s(-3). Which is the closest to f?  (a) g  (b) w  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438750673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/3936 and 104\/7167825.\nAnswer: 229370400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/17))**(30\/11)*(m**(-5))**(-17\/6) assuming m is positive.\nAnswer: m**(16255\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - n + 3 - 4)*(-2 + 5 + 0)*(0*n**2 + 0*n**2 - n**3) - 3*n**4 + 3*n**4 - 15*n**4 + (-2*n**3 + 2*n**3 - n**3)*(n - 3*n + 4*n).\nAnswer: -14*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n = 12*n + 3. Suppose -20 = 3*m - 0*l + 5*l, 2*l + 8 = -n*m. Suppose m = -10*h + 13*h - 27. Let k(w) = w**3 - 8*w**2 - 10*w + 3. What is k(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 101, 151?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 88. Find the common denominator of (17\/11)\/((-2)\/(-4)) and ((-42)\/88)\/(27\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 674500 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66071*u + 660653.\nAnswer: -66071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = -7*x - 3*x. Let b be -12*(1\/2 - x). Let z = -12 + 7. Let r(v) = -8*v**2 - 4*v - 5. Let m(u) = 7*u**2 + 4*u + 4. What is b*m(y) + z*r(y)?\nAnswer: -2*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -1157*h + 337860. Calculate y(292).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 755 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*o + 11 = 0, -p + 5*o - 8 = 26. Does 11 divide -2 - (1846\/(-8) - p\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s + s - 2*s + 2 - 2*s - 2 + 2*s + 16*s + 2*s + (-2*s + 0*s + 3*s)*(1 - 2 + 2) in the form p + m*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24794 equal to 24795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 2:14 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 170*h**2*y**4 - h**2*y**2 - h*y**2 + 3*h wrt y?\nAnswer: 4080*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1323824 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 31*n**2 - 16*n + 10. Let p(x) = 30*x**2 - 17*x + 13. What is 3*p(l) - 4*q(l)?\nAnswer: -34*l**2 + 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163, 479, 815, 1171, 1547, 1943?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 28*r + 9. Let q(w) = -19*w - 6. Let b(k) = 5*j(k) + 7*q(k). Let m(y) = 3*y + 1. Give -4*b(l) + 10*m(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (21\/(-9))\/(-1)*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 10*n**2 + 3*n - 22. Let r be a(10). Solve 18 = f - 4*v, -v = -f + v + r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8243253 is divided by 879.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f**3 - 14*f - 14. Let a(h) = -2*h + 1. Let x be a(2). Let y = 2 - x. Let c(d) = -2*d**3 - 5*d - 5. What is y*m(t) - 14*c(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3415 divided by -5013\nAnswer: -3415\/5013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -11. Let w*m**4 + m**3 - 5*m**4 + 4*m**4 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of p**4\/24 - 5*p**3\/6 - p**2. Let t be g(6). Is t\/(-2) - (-75)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-16) + (50\/(-35))\/((-8)\/14). Solve -u*n + 2*t = 11 + 1, 4*n = -5*t - 33 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -62, -90, -94, -62, 18, 158, 370, 666?\n\"Answer: 2*a**3 - 42*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 220893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) -3251\/3  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (9760 + 2)*99\/66 + (-36)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/5)\/(u**4\/u*u))\/(u**(7\/3)\/(u\/(u*u\/(u*u**(-2)*u)*u*u*u))) assuming u is positive.\nAnswer: u**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3357, 0.02, 6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 9 = 2*t - w, 16 = -2*t + 4*w. Let o(q) be the second derivative of q**3\/6 + 2*q**2 - q. Determine o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 6. Suppose k*m = m + 10. Suppose -3*r + 20 = 2*r, r - 9 = -m*t. Solve -3 + t = 5*h - 2*y, 5*h - 5 = -5*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6665557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 48 = -9*s. Sort s, -3, 37 in increasing order.\nAnswer: -3, s, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 9887.\nAnswer: -3\/9887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 827220963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 37750, 151436, 340914, 606184, 947246, 1364100?\n\"Answer: 37896*j**2 - 2*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 11:07 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32519.0086 + 32523. Let d = s + 0.0086. Sort -8, 0, d, 0.2.\nAnswer: -8, 0, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -275 - -279. Let k(g) = g**3 + 4*g**2 - 2*g - 6. Calculate the lowest common multiple of a and k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -4*y - 12, 4*j - 5*y = -3 - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -19*d**2 + d + 19. Let q(i) = 11*i. Determine q(z(x)).\nAnswer: -209*x**2 + 11*x + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2280\/18)\/(2\/3)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 + -41. Does 9 divide 1*3 + (-9 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30935, 62032, 93119, 124190, 155239, 186260?\nAnswer: 217247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -115*z**3\/2 + z**2\/2 + 6*z. Is c(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 23*c - 21*c = -21720, -3*c + 65160 = -3*u. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m + 76*m = 54*m + 180. Suppose 1 = l - 3. Suppose -u - l = 1. Sort 2\/13, m, u in decreasing order.\nAnswer: m, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -178397*d*v**3 + 9*d*v**2 + 1599*v**2 + 1 wrt v?\nAnswer: -1070382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 8*q + 8. Suppose 0 = -q*j + 10 + 12. Let f = j + -6. Solve 0*i = f*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 954 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 61263 or 61262?\nAnswer: 61263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 2*z**2 - 5 + 12 - z**4 - 8 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 141 + -20?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*h**2*m**3*s**3 - 2*h**2*m**3 + 113*h**2*m*s**2 - 58000*h*m**3*s**3 + 12*m**3*s**2 wrt s.\nAnswer: -18*h**2*m**3 - 348000*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 less than 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2476 is divided by 684?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 - 85. Let y = s - -43. Which is the nearest to 1\/4?  (a) -0.2  (b) 0  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 + 2*p - 437. Let c(h) = h - 2. Determine -2*c(a) + f(a).\nAnswer: 3*a**2 - 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 281891900, 563783801, 845675702?\nAnswer: 1127567603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -965*p - 5759 = 996 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i + 2. Let o be c(0). Solve v + o - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 62 + 103)*(-4 + 8 + 0)*(n - 11*n - 4*n).\nAnswer: -9128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3817 - -129769\/34. Is -1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 15 = 3*o, -5*o - 580*d + 25 = -579*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1633*w**3 - 90187*w + 310326662 wrt w?\nAnswer: -4899*w**2 - 90187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**5\/11 - 1306*j**4\/11 + 7122*j**3 + 327682*j**2\/11 + 415124*j\/11 + 167088\/11 = 0.\nAnswer: -708, -2, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 5*u - 11. Let b(m) = 13*m - 5. Let x be b(1). Let z(j) = -3*j - 7. Let i(l) = x*z(l) - 5*q(l). Determine i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (29740\/(-431230))\/((-2)\/1334)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -417*n + 1. Let m be t(-3). Let v = m - -3048. What is v rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3065 + 3055 + 3062 - 12238 + 3056 + 23*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 106*r**2 + 2*r - 1. Give z(-1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 - (16 + (-22 - 67))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c + 0*c + c in the form w*c + q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-2) + 15\/5. List the prime factors of n\/(-5) - (-309)\/15.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 286039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*i = -22, i - 17 = 3*l + l. Let q be 28 + 1*(-2)\/8*l. What is the greatest common factor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 626609 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -2. Let k be ((-9)\/30)\/(147\/(-28)). Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6\/5 - -1\/20. What is the fourth biggest value in 2, 1, h, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9011072.\nAnswer: 2, 7, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16311*x = -20457 - 28476 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 4*p**2 + 1. Let f be j(-6). Let d = 211\/3 + f. Let g = 0.4606 + -0.0606. What is the third biggest value in 2, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -0.6  (c) -0.02  (d) -5  (e) 3.2  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 15160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbb when three letters picked without replacement from bfbbdfbqfnfqffqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 44250014*w - 112. Let r be s(8). Suppose 5*h - r = 25*h. Round h to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.5 * -0.3\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - 13*n + 16. Let i be o(11). Let d be 3\/2 + 3\/i. Solve d = 4*f - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -73 + 43. Let y be 1\/(((-3)\/(-21))\/(t\/(-7))). Let i be (-2)\/(-15) + ((-4304)\/y)\/(-4). Calculate the greatest common factor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 - 38*m**2 + 1011*m - 24. Calculate i(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -3  (c) -14  (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19688.\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 9*h - 17 + 4*h**2 + 22 - 4*h**2 + h**2. Let s be i(-10). What is the greatest common factor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44669, 89336, 134003, 178670, 223337, 268004?\nAnswer: 312671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55 + 107*l**2 + 55.\nAnswer: 107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 1\/10, -4, 1.\nAnswer: -4, -2\/9, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -212 = 13*r - 277. Let k(n) = 4*n**2 + 9*n. Let s(c) = -4*c**2 - 10*c. What is r*k(d) + 4*s(d)?\nAnswer: 4*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -9*q - 38 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 1\/2 in decreasing order.\nAnswer: 1\/2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -124001300?\nAnswer: -124001300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -74\/177 and 49\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2. Let v(s) = -12*s + 8. Let m(k) = 11*k - 7. Let l(o) = -2*m(o) - 3*v(o). Let t(c) = c - 1. Let n(g) = 2*l(g) - 20*t(g). Determine h(n(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76 + 9*j**2 + 298 - 222.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 63 + -52. What is the lowest common multiple of 51 and d?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32693 divided by 42.\nAnswer: 32693\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1564172 (base 8) to base 9\nAnswer: -760023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 326*w - 96940*w**3 + 2 - 2 + 96941*w**3 - 326*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39278*n = -39298*n - 220 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10.2 and -0.3.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 13381498?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 2. Let j = -5.9 - o. Let d = -233.3 + 233. Put -0.4, d, j in descending order.\nAnswer: j, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-2 - (1 - 0) - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1063436640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 12, i: 7}. What is prob of sequence jijj?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-10 + (13 - -1) - (1 + 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*z**3\/2 + 15*z**2\/2 + 3*z\/2 - 3\/2.\nAnswer: 3*(z + 1)**2*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 10:57 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.03 from 131.93.\nAnswer: 131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/3*9\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/42240 and 13\/4224.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5*o**2 + 74*o + 4. Let f be v(13). Suppose n = 6*n + 265. Let p = f + n. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 1, p: 2, o: 3, a: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64 - 92. Let l = 2141.21123 + -2113.211. Let o = f + l. Round o to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.044519331 to 5 decimal places.\nAnswer: 0.04452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 327 times 0.754711\nAnswer: 246.790497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 4:04 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.7903 + 6.8903. Let b = -0.35 - 0.05. What is the third biggest value in s, b, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k**2 + k + 0*k**2 - k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -105 - 2164*j - 2165*j - 2*j**2 - 2162*j + 6488*j - j**4 to m*j + p*j**3 + i*j**2 + h + z*j**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -27503 * 0.5\nAnswer: -13751.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(132)\/(sqrt(36)\/sqrt(3)) - sqrt(1100)*-1) + (5 + 1 + sqrt(11) + sqrt(11) + -4)*6)*6.\nAnswer: 72 + 402*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -26900 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -75.0523481699 and 0.4.\nAnswer: -74.6523481699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -b**5\/4 + 16687*b**4\/4 + 2807901*b**3\/4 + 113229653*b**2\/4 - 89898635*b + 60885075 = 0.\nAnswer: -85, 1, 2, 16854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 22 + 11 = z + 17, -39*z - 445 - 348 + 283 = c for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 43.7  (b) -5  (c) -10\/11  (d) 504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.089, 4, -0.4?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 254083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 0.2, 0, 18 in decreasing order.\nAnswer: 18, 0.2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -8*j - 24*j + 66 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*n**3 + n**3 - 2 + 30*n**2 - 16*n**2 + 6*n**3 to p*n + i + o*n**3 + g*n**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4*m**2 - 2*m + 6. Let b(z) = 5*z**2 - z + 6. Let j(y) = -3*b(y) + 4*o(y). Let s be j(5). What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((-24)\/8 + 11). Factor 3\/4*m - 5\/8 - u*m**2.\nAnswer: -(m - 5)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0\/(l*l**(2\/3)\/l))**(-17)\/(((l*l**1)\/(l*(l*l**5)\/l))\/(l**(-2\/9)*l*l**(-3\/8))) assuming l is positive.\nAnswer: l**(1133\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (231\/(-22) - -10)*(2 - -16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9  (b) -0.2  (c) 1\/3  (d) 451799  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162817.\nAnswer: 23, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(2)*4)*5*-4 + 2 + (sqrt(30)\/sqrt(3) - sqrt(10))\/sqrt(5).\nAnswer: -100*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -63*j**2 - 308*j - 9. Calculate x(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 4. Let y be t(4). Let g(w) = 25 - 7 + 11 + w + 2. Calculate the remainder when g(y) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1303023.\nAnswer: 3, 31, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 159*p**3 + 3*p**2 - 13*p. Let v(z) = 53*z**3 + z**2 - 4*z. Let x(f) = 6*r(f) - 17*v(f). What is the third derivative of x(n) wrt n?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 15*z + 10. Let a(v) = -4*v - 2. Let w be a(-6). Suppose -5*n + 28 = -w. Is 16 a factor of t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94722246 divided by 94722246.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -158 + 175. What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12654054 + -1205?\nAnswer: -12655262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 9 = -5*k, -3*k = -6*k + 3. Let v = d - -6. Put -2, v, 2 in descending order.\nAnswer: 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.2, -0.073, -1\/944, -1 in decreasing order.\nAnswer: 5, 0.2, -1\/944, -0.073, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -14*q + 44. Let n be s(-2). Find k such that -15*k**2 + 24*k**2 - 48*k**2 - 3*k - n*k**3 - 12*k**5 - 51*k**4 - 3*k = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 102*q**2 - 294*q - 288*q + 582*q + 3 to the form r + i*q**2 + f*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/294 and -151\/1397382.\nAnswer: 1397382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/28, -3.5, -0.1.\nAnswer: -3.5, -0.1, 1\/28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a80a (base 12) to base 9.\nAnswer: -236861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -22. Let p = -277 + 370. Suppose b*m = 33 + p. Calculate the remainder when m is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3245213*z. Let s(j) = 3*j. Give s(m(v)).\nAnswer: -9735639*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/(-3))\/(380\/285) - -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - f - 8 = 0, 0 = -3*l + 4*f + 22. Suppose -10 = -l*t - 8. Let u be 1\/(-2)*-178 - t. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from pppsps.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -3288\/22073 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**3 + 12*h**2 + 11*h + 16. Give m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -3*k**2 - 8 + 3*k + 0*k + 6 - k**3. Let c be s(-4). Suppose -4*w - c + 18 = 0. Solve 2 = -2*g + w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -669951 and -0.3.\nAnswer: 200985.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7776754 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/234 and 1\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*o + 1073064 = -2385896. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-6) - 288\/(-351). Determine c, given that 2\/13*c**2 + 2\/13*c**3 - b*c - 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 - 77. Find the first derivative of -27 + s*g + 6*g + 31 - 20 wrt g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -570563 or -39368810\/69?\nAnswer: -39368810\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + u + u - 76, -4*u + 8 = 0. Find the common denominator of 69\/2 and (g\/1952)\/((-60)\/1200).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1919267399 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36699367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = i + 3*o - 57 + 116, 5*i + 95*o = 152 + 103 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7213\/1995 + -348\/95. What is the nearest to -6 in 3, w, 2, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*3\/6*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 + 0 + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*h + 177*h - 52*h - 56*h - 37*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 8 = -10*y. Let r be (-8)\/((-16)\/(-6)) - (-5)\/y. Let b(v) = -7*v**r + v**2 + 8*v**2. Let l(x) = -2*x**2. Determine b(l(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3888168 (base 12) to base 9\nAnswer: -22841438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -706\/7 in 0.1, 15, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3\/28, 0.2, -33, -2\/7, -122\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(1539) + -3 + 2 - sqrt(1539)) + sqrt(1539) + -4)*4.\nAnswer: -80 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*g**3 + 746*g**2 - g + 448565 wrt g?\nAnswer: 9*g**2 + 1492*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 494294 and 124797?\nAnswer: 25208994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (-2 - 5) - -108. Suppose 175 - n = 3*g. Solve 20*i - 20 = g*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 6 = -v + 4*c, v = -3*c + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 607570 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 23. Let p = u + 8.3. Which is the second biggest value?  (a) p  (b) -2  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 2*w**2 - w + 2. Let p be d(0). Let s(o) = -2*o**3 - o + p*o**3 + 12*o**2 + o**3 - 9. Calculate s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 8:11 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from ydywgggwddgdddpd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u**3 - 2*u. Let p(q) = -q. Let y = -25 - -23. What is y*p(g) + n(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (1 + 19 + -17 + 15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence co when two letters picked without replacement from ffoodofcfo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -1.4  (b) 0.3  (c) 10  (d) -4\/5  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 48257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 16. Suppose -m - 18 = -5*t. Suppose 0 = -0*x - x - 5*w + 7, t*w - 8 = -2*x. Solve l + 6*z = x*z - 12, 3*l - z - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f\/(f\/f**(40\/9)))\/f*f)*f\/(f*f\/(f**(2\/11)*f)))\/(f**10*f*f**7) assuming f is positive.\nAnswer: f**(-2105\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 2, -156.\nAnswer: -156, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*a - 2*a + 51*a)*(-2 + 3*a - 1 + 3).\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 6 = 0, -6*u + u - 4*x + 108 = 0. Suppose u = 5*i + 3*t - 2, 3*i - 3*t = -6. Suppose -4*k = -i*k + g - 34, g = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2 - 6. Suppose -3*k + 79 = -s*k. Round k to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 955313 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*h + 757 + 514 - 954 - 5*h as c*h + f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1941215*k**2 + 9 + 7 - 16 + 1941230*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 69 = 4*r - 1, r - 11 = -3*p. Suppose -12*x = -r*x + 35. Let q(s) = 6*s - 31. What are the prime factors of q(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11966456, 11966457, 11966458, 11966459, 11966460, 11966461?\nAnswer: 11966462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 21 = -11*o + 5*v, -49 = -2*o - 3*v. Solve o = -24*l + 62 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5389 in 3\/2, -14, 0, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/183, -0.53, 5 in decreasing order.\nAnswer: 5, 2\/183, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a week in hours?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389486691?\nAnswer: 3, 11, 1311403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -8.34319?\nAnswer: -8.34319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-80)*4\/(-2)*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1152)*2)\/(sqrt(900) + sqrt(900)*-2) + ((sqrt(10) + sqrt(60)\/sqrt(6))*2 - sqrt(10))\/(-4*sqrt(45)).\nAnswer: -37*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70326*j - 17568*j - 2*j**3 - 17581*j - 17586*j - 17591*j + 12.\nAnswer: -2*j**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6*o**3 - 3*o**2 + 64*o - 94. What is k(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2249*x - 1549555. Determine t(-689).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*s + 432. Calculate the remainder when (-4236)\/s + 1\/6 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - (-51)\/(-12))*-4. Suppose c + 4*x + 0*x - 21 = 0, 5*x + n = 0. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 19  (b) -2\/189  (c) 3  (d) 0.5  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -54*v. Let i(n) = 61*n - 24*n - 39*n. Let k(x) = 22*x. Let p(t) = -10*i(t) - k(t). What is h(p(w))?\nAnswer: 108*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14062852*g - 30595188?\nAnswer: 14062852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b**2 + 12*b - 33. Let s(m) = -19*m**2 + 23*m - 67. Let d(j) = -6*s(j) + 13*u(j). Factor d(r).\nAnswer: -3*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*y**2 + 0*y - 1 - y**2 + 2 - 2*y to the form i*y**2 + o*y + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 852 + 19*d - 852.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*m + 21. Suppose m*g - 11*g = 14. Which is the second smallest value?  (a) 0.4  (b) g  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -357?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 292807111 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-2 - (-2 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 459, 896, 1333, 1770?\n\"Answer: 437*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {f: 2, p: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w - 14. Let o(n) = n**2 - 19*n + 44. Let k(l) = o(l) + 6*p(l). Calculate k(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*u = 162*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-8) - 45\/36. Let b(o) = 2*o**3 + 5*o**2 - 2*o - 5. Let m be b(t). Is 52\/19 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/5 + 727618*l = 0 for l.\nAnswer: -3638090, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 1 + 8 = 0. Suppose -4*i - 8 = -x - i, 4*i + 14 = f*x. Find the third derivative of -6*c**4 + c**x + 2*c**4 + 2*c**4 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 19*o**2 - 20*o + 2. Give d(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5647227083?\nAnswer: 37, 152627759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189*b = -185*b - 108. Suppose 31*y = b*y + 72. Calculate the remainder when 35 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 6*b + 5, 0 = -5*k + 5*b + 15. What is the units digit of 0*(-1)\/k + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221839.\nAnswer: 97, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -13\/3 and -0.552 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + i**2 + 3902*i**4 - 3924*i**4 + i**3 - 5 in the form o*i**4 + b + a*i + r*i**2 + l*i**3 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (94 + -2))*77\/385?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = j - 4*j + 576, -376 = -2*n + 2*j. Calculate the remainder when n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b - b - 3*b - b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2632*r - 21. Let w(f) = 5273*f + 36. What is -5*m(h) - 3*w(h)?\nAnswer: -2659*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 6 + (-3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -4. Solve u = -4*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/60*(-9)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 6*y - y + 20 = 0, -16 = 5*k + 4*y. Suppose 5*x = 4*v + 322, 5*v + 0*v + 15 = k. Suppose -t = -3*t + x. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14\/(-4)*(-7)\/((-49)\/(-90)). Solve -5*r - 35 = -d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -731*w**2 + 138*w - 52*w**2 - 139*w.\nAnswer: -783*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**3 + 67*s**2 - 16 - 126*s**2 - 22 + 58*s**2 - 2*s to u*s + m*s**3 + v + k*s**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 5, -2\/13, -1\/5.\nAnswer: -3, -1\/5, -2\/13, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x - 2. Let w be 7\/4*4 + -3. Let c be p(w). What is the remainder when 15 - 2\/(c\/3) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32476 plus -0.1?\nAnswer: -0.42476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17\/26 + 15\/13. What is the third smallest value in -4, p, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 13262\/13, -40, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -68*s. Let b(l) = 214*l**2 - 439*l**2 + 237*l**2. Calculate t(b(p)).\nAnswer: -816*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*c**2 - 8*c**2 + 2*c**2 + (40*c + 395 - 395)*(-c + 4*c - c).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -30330302313 (base 4) in base 12?\nAnswer: -1178673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 - 17 - 32 - 5*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111001001011011010001 - -11?\nAnswer: 1111001001011011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 187*t - 21. Let u be g(5). Suppose 12*s + u = 3446. Suppose 6*v - 221 - s = 0. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -56967\nAnswer: 11\/56967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2749 + 2749 + 20*l**3 - 296*l**2 - 268*l. Let w(z) = -4*z**3 + 59*z**2 + 54*z. Let p(v) = -3*a(v) - 16*w(v). Factor p(g).\nAnswer: 4*g*(g - 15)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -282 + 497. Let c = -141 + n. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -916, -1658, -3650, -7510, -13856?\n\"Answer: -103*y**3 - 7*y**2 - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + d - 1. Let j(s) = 4*s - 55. Let o be j(13). Let f(g) = 10*g**2 + 8*g - 8. Let t(n) = o*f(n) + 24*z(n). Let r(y) = 10*y**2. Calculate t(r(l)).\nAnswer: -600*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*t - 6*t. Suppose 0 = -5*c, q + 9 - 20 = t*c. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1243 (base 11) in base 14?\nAnswer: -83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 49, 100, 193, 334, 529?\n\"Answer: r**3 + 15*r**2 - r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -17, -29, -49, -77, -113?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 5*u**2 - 14*u + 76. Does 26 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 84*u**2 + 16*u. Let l(w) = -85*w**2 - 19*w. Let r(m) = 6*l(m) + 7*y(m). Let v(g) = 38*g. What is v(r(h))?\nAnswer: 2964*h**2 - 76*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-6)*6112\/573.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*o = 26*o. Suppose -5*c + 4 = -4*x - 17, -x + 2*c - 9 = o. Suppose -n + 4 = -0. Put -3, x, n in descending order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -531 + -34030322?\nAnswer: -34031253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((-38 - -28) + -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}