diff --git "a/data/dm_maths/full_data_2/1527_11255.jsonl" "b/data/dm_maths/full_data_2/1527_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1527_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(m) be the third derivative of -m**2 + 11 - 65\/3*m**3 - 1\/40*m**6 + 0*m**4 + 0*m - 1\/60*m**5. Differentiate z(g) with respect to g.\nAnswer: -9*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49753208 is divided by 2863?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*n + 4*n**4 - 1 - 22*n + (0*n**3 + n**3 + 0*n**3)*(4*n - 5*n + 3*n).\nAnswer: 6*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y - 2. Let d be o(4). Suppose -35 = -2*c + 2*j + j, d*c + j - 15 = 0. Suppose -z = z - c. Solve 2*f + z*t = -0*t - 33, -15 = 3*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-153)\/(-38) - 4). Let g = v - 16. Suppose g*r - 45 = -0*d - d, -4*d + 5*r = -197. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4292, 4339, 4408, 4499, 4612, 4747, 4904?\nAnswer: 5083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:10 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19251 - -19256. Put q, -9, -20 in increasing order.\nAnswer: -20, -9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -2\/433 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*p**4*w - p**3*u**2*w - 3*p**3*u**2 - 12*p**2*u - p**2*w + 3*p*u**2*w wrt p.\nAnswer: -336*p*w - 6*u**2*w - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*g = -0*u - 35, -u = 2*g - 1. Suppose 3*j + 18 = u*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6*h + 936. Suppose 19 = -4*q + 4*k + 103, 0 = 5*q + k - h. Differentiate 33 - 10 + 9*c**2 - q*c**2 wrt c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/24 - -9\/8. Let q = 9 - 8.2. Let h = q - -4.2. Which is the second smallest value? (a) 0.1 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -10217 at least as big as 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -83*p**2 + 432*p + 91. Let g be w(5). Solve -17*x + g = 5*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 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: Let o = 114 - 41. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -47\/3059?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49650403*z**2 - 18044089*z.\nAnswer: 99300806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, -6, -1\/4, -4\/3397, 5.\nAnswer: -36, -6, -1\/4, -4\/3397, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.9, 1\/3, 0.14, 0.7, -168?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -2851, 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Let d be 3 + -6 + (-1)\/((-2)\/10). Let h(r) = -2*r + 2. Let m(q) = d*s(q) - h(q). Let x(c) = -5*c**2. What is x(m(y))?\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(758\/(-23877))\/(10\/(-75)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -31362.\nAnswer: -31348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3400115082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120107.\nAnswer: 13, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731096 is divided by 1159.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18869027 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 0*j + j + (-53 - 2 - 28)*(3*j + 2*j - 4*j) + 2*j - 2*j + 3*j)*(0*j - 5*j + j) to i*j**2 + g*j + w and give i.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497888 is divided by 1418.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (114 + -119)\/((-3)\/(-12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -27*k + 69. Let c be p(-4). Suppose -x - 2*z + c = 17, 0 = z - 1. Calculate the remainder when x is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9367238?\nAnswer: 2, 17, 137, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 935*f + 14504. Is j(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 10 + 2 + 7. What is b(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2*x, -14 = 9*x - 4*i + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 10 = y, -y - 2*p = -22. Calculate the lowest common multiple of 12\/10*y*(-40)\/(-24) and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.92 - -0.08. Which is the nearest to 0.2? (a) s (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(7\/8)*q**(-2\/33)*q assuming q is positive.\nAnswer: q**(743\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 40 = 0. Suppose f = -l + 44. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 26\/11705425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/28*4\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122106 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*i**4 - 68*i**3 + 2355*i - 4 wrt i?\nAnswer: 2544*i**2 - 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/12 - 17*x**3\/6 + x**2 - 17*x. Let o(m) be the first derivative of i(m). What is the first derivative of o(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1935 + 28914 = 4*z, -z + 16193 = 3*k. What are the prime factors of k?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -35*h. Let r(a) be the first derivative of a**2 - 59. Give r(q(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -164.47 and 4?\nAnswer: 168.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/5 + 10696*b**4\/5 + 14278304*b**3\/5 - 61743744*b**2\/5 - 5974373376*b\/5 - 21998518272\/5 = 0.\nAnswer: -2676, -16, -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) + 20\/16. What is the common denominator of ((-83)\/20)\/((-12)\/15) and (-762)\/(-4)*l\/9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7490.2 - -7490. Which is the second biggest value? (a) w (b) 0 (c) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74912\/61 - 1228. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*x - 10 = -18, 2*x + 2 = 3*i. Let r(h) = -2*h + 2. Let c(l) = 19*l**2 + 38*l - 38. Let f(y) = i*c(y) + 38*r(y). Let o(b) = -2*b. Determine f(o(q)).\nAnswer: 152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 818984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222112211 (base 3) in base 13?\nAnswer: 4a743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - r = 0, -r + 20 = 5*l + 4*r. Let k be 20\/((2\/6)\/(l\/2)). Suppose -810 = -3*b - 0*b. What is the highest common divisor of k and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 18033*p**4 - 90264*p**3 - 144348*p**2 + 216576*p = 0. What is p?\nAnswer: -6016, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*g**3 - 1603*g**3 - 18 + g - g.\nAnswer: -2146*g**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*b = 19, -g = -b + 4*b - 2. Solve 44 = -g*w + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 8*q - 102. Suppose 0 = -q*n + 215 + 19. Calculate the remainder when n is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.955039 millilitres to litres.\nAnswer: 0.007955039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1826844.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(c + 2*c - 4*c) + 0 + 0 - 2*c - 6*c - 20 + 20 - 3*c + 4*c + c + (0 + 1 - 2)*(2*c - c + 0*c) + 62 + 2*c - 62 in the form j*c + g and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 = 3*g. Let n = g - -5. Suppose 0 = -n*o - 2*o. Solve 0 = -5*h - o - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q = 0. Suppose -2*u + 9 + q = z, 3*u = 9. Suppose -m + 1 + z = 0. Calculate the remainder when 22 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-94 - (-12 + -10 + 15 + (4 - 4)))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a factor of 2734032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330700 and 5570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -7)\/(24\/(-48)) + 11. Solve -5*s + 11 + 10 = -l*j, -5*j - 4*s = 35 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4592181.5 and -581810?\nAnswer: 5173991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z - 1. Let r(s) = -15*s - 2. Let u(q) = 6*r(q) - 5*w(q). Let v(t) be the third derivative of t**4\/8 + t**3\/3 - t**2. Calculate 4*u(f) + 14*v(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3953.6 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**2 + 3*w + 4. Let q be f(-2). Calculate the lowest common multiple of 6 and (-306)\/q - 4\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212110102 + -1201112?\nAnswer: 1210201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/13786 and 73\/6802.\nAnswer: 46886186","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -40864\nAnswer: 1634.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57080 is divided by 100?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2884186*z**2. Let u(q) = 42*q**2. Determine u(f(c)).\nAnswer: 349378213069032*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 - 4 - 3*j**2 + 3 + (3*j**2 - 4*j**2 - j**2)*(1 - 3 + 1) - 2 + 2 + 2*j**2 in the form b*j**2 + h + y*j and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let o be 3 + (1 - r) + 17. Suppose 0*j - 3*w + 33 = 3*j, o = 2*j + 3*w. What is the remainder when 36 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 432.287588696 and -0.11.\nAnswer: 432.177588696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 52*g. Let k(c) be the second derivative of c**3\/3 - 5*c. What is k(n(z))?\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgvvugvkvkv. What is prob of picking 2 k and 1 u?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 976.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 12*s**2 - 5*s - 20. Let o(d) = 2*d**3 - 14*d**2 + 6*d + 19. Calculate -6*i(u) - 5*o(u).\nAnswer: 2*u**3 - 2*u**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5114881 to the power of 1\/2, to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 less than -1021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68485671*w**2 + 772*w - 2793.\nAnswer: 136971342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93946381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 75 - 60 = 0, 5*p - 234 = 68*r for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1139098.\nAnswer: -113909.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 2.6. Let h = 3 + 0. Let s = h + k. Do -0.1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 - 5*d + 5. Let k = -6228 + 6222. Let w(v) = 4*v**2 + 4*v - 5. Calculate k*w(f) - 5*t(f).\nAnswer: f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**29)**33\/((t**3*t**3\/t)\/(t**0*t**(2\/7))) assuming t is positive.\nAnswer: t**(4433\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563 times -4?\nAnswer: -6252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 918*s - 5511. Give q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2331*o - 1263*o = 1389*o + 12519 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21312 and 776556?\nAnswer: 12424896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 7300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 259421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(8 - (-123)\/(-15))*5\/(-100)*-12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -59030 - 26266. List the prime factors of d.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1079 - 16*g**2 - 15*g**2 + 32*g**2 - 11*g - 1052 + g**3 + 2*g**4 to d*g**4 + v*g**2 + f*g**3 + o*g + q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -38\/261 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u, 5 + 18 = d + 5*u. Solve -2*l + 8 = 2*q - d, 0 = 4*q - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5914*r + 59159. What is z(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 20*r**2 - 63. Let x(w) = -5*w**3 - 58*w**2 - w - 188. Let t(z) = -8*a(z) + 3*x(z). What are the prime factors of t(18)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:29 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i**2 + 3*i**2 + 4*i**2 + 18*i**2)*(2*i**3 + 5*i**3 - 5*i**3).\nAnswer: 74*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaafaqqqqaaqpfqqaql. Give prob of picking 2 q, 1 l, and 1 p.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -757689*s**6 + 11*s**2 + 6179*s wrt s?\nAnswer: -90922680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 4. Let y be 5\/20 - 27\/(-4). Let u = 5 + -2. Let j(p) = u - p - y - 1. Give 6*f(m) - 5*j(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + b - 24, -5*b - 9 = -2*b. Let d = -5 - v. Suppose d*a - 39 = -3*m, 0*m + m - 5*a + 6 = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let c(v) be the third derivative of -3*v**5\/20 - 7*v**2. Give r(c(x)).\nAnswer: 243*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/12*12\/(-10). Suppose f - 2*f - 8 = t, j*f = -5*t - 37. Let d be (-4 - t)\/(-1 - 0). Does -0.2 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120202 + 22111220?\nAnswer: 21221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -896.3329996 to two decimal places.\nAnswer: -896.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 4 - (sqrt(18) + -4))**2*-1 + sqrt(8)\/(sqrt(196) - (sqrt(196) - (sqrt(196) + 2*sqrt(196))))*-1.\nAnswer: -66 + 335*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.73 - 45.27. Let v = -46 - i. Sort 3, 4, v.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 8*c**2 + 10. Let a = -107 + 115. Calculate y(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 + 25*m**3 + 9553*m**2 + 12938549*m wrt m.\nAnswer: 12*m**2 + 150*m + 19106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 12*r - 17 + 18 - 13, 4*s + 3*r - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16\/t*t*t**(-3\/7)*t)\/(t**(-16)\/t**(-5\/3)))**22 assuming t is positive.\nAnswer: t**(14278\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 6:27 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let a(c) = 25*c**2 - 28*c - 253. Let g(n) = -42*n**2 + 48*n + 422. Let r(h) = 12*a(h) + 7*g(h). Give r(t(k)).\nAnswer: 6*k**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r = 79*r + 24. What are the prime factors of ((-60)\/r)\/(-1 + (-99)\/(-102))?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - m - 0 + 27, 5*l = -2*m + 120. Calculate the least common multiple of 6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.12 (c) -3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:42 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 21. Suppose 2*w + y = i, 3*i + 11 = 3*w + 32. Let o be (1\/w)\/((-2)\/(-604)). What is o rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13677, 27356, 41035, 54714?\nAnswer: 68393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*q - 2. Let o = 1 + q. Is 25 - -4*1\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 9)*(-89*f - 208*f + 82*f - 66*f).\nAnswer: -4496*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 14*s - 19*s + 7, -s = 3*h - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((b*b**(-5)\/b)\/b)\/b*b)\/(b*b*b**(2\/5)\/b))**(3\/20))**(-42))**(2\/17) assuming b is positive.\nAnswer: b**(2331\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) 2\/9 (d) -1\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1944 = 3*k + 4*a, 3*k - 5*a - 1944 = -4*a. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w**2 + 15*w - 15*w to v + f*w + g*w**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3708, -4018, -4534, -5262, -6208, -7378, -8778, -10414?\n\"Answer: -s**3 - 97*s**2 - 12*s - 3598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (-3 - -2 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.3 - -12.2. Let k = o - -7. Put -6, -1, k in descending order.\nAnswer: k, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76675*b - 76675*b - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-36)*6\/120*-18\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + (-32 - -60 - 60).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 3*m**2 - 6*m - 3. Let x be t(-4). Is 5 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11669371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4) + (-39 - -47).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 + -89 - (-18 - -2) - (-4 - 24)) + 46?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13770586 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -41. Solve n + 3 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6141327ml?\nAnswer: 0.0006141327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 225*q**3 + 1210*q**2 + 1980*q + 1000.\nAnswer: -5*(q - 50)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 690 = -3*l, -2*l - 131 = -3*a + 2*a. List the prime factors of a.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from {y: 4, s: 1, z: 4, e: 3, f: 1}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/4 - 6*s**3 - 3*s**2\/2 - 39*s - 20. What is the remainder when 43 is divided by x(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 8 = 2*u + 82*x - 112*x, -3*u - 2*x + 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -21*x**2 + 1. Let b(v) = 6*v**2. What is c(b(p))?\nAnswer: -756*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-38)\/20 + 1). Let q = -76 - -45. Let c = 30.6 + q. Put n, 2\/5, c in decreasing order.\nAnswer: 2\/5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1865 + -242746?\nAnswer: -240771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 33*m**2 + m + 2. Determine x(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:15 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(23\/(-2484)). Suppose j = -q + 72. Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 1\/12*n**4 + 0 + 0*n**3 + 0*n**2 + 5*n. Let p(g) = -6*g**2. Give p(t(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24222 (base 6) in base 16?\nAnswer: dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 18820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2091 less than or equal to -24730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1.253?\nAnswer: -0.2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 h when three letters picked without replacement from dyvph.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -560892*i + 721818 wrt i?\nAnswer: -560892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -369d17d?\nAnswer: 369d183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351046.\nAnswer: 2, 175523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563851 (base 14) to base 2.\nAnswer: 1011001011001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -312 - -532. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 6) in base 2?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + s. Let l be x(4). Suppose -4*r - l*v - 16 = 0, 2*r + 4*v + 2 = -16. Solve -r = 5*g + 2*q, -q + 5 = -3*g - 0*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 4*v - v)*(63*v - 115*v + 55*v + (-1 + 1 + 1)*(2*v + 0 + 0) - 2*v - 1 + 1) as z*v**2 + c + t*v and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + (sqrt(143)\/(2*sqrt(11)))**2.\nAnswer: 13\/4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = -3*q. Is q >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1 + sqrt(1300) - sqrt(1300))**2*2 - ((-3*(sqrt(1300) + 1) + sqrt(1300) + sqrt(1300) - sqrt(1300)) + sqrt(1300))).\nAnswer: 6 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*z - 15, 10*z - 2*u = 5*z + 53. Solve 12 = -z*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) - (-402)\/4)\/(((-9888)\/(-64))\/103)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.878238209 to 4 decimal places.\nAnswer: -4.8782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 46 = 4*v. Let s = 9 - v. Let u be s\/(-552)*(-2 + -2). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 1, c: 3, n: 5, d: 1}. Give prob of picking 1 d and 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 14 + 2*r**2 - 7 - 9 as k*r**2 + b*r + i and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.143, 5, -4, 23\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009282443 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42385 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 50 - ((-2534064)\/442)\/124.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 + 491671?\nAnswer: 4916b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 4, b: 2}. Give prob of sequence mgm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15497 - -15561. Let s = 90 - 47. What is the remainder when k is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795346 is divided by 16946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2) + 2 - sqrt(4)\/(sqrt(16)\/sqrt(8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 65?\nAnswer: 64.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14*a - 358375 = -4*r, a - 71674 = -r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-20)\/(-36))\/2 + 1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let x(f) = 1. Let w(s) = -7*s - 35. Let k be 3\/(-7) - (-402)\/(-42). Let j be 0 + -5 + k\/(-5). Let i(a) = j*w(a) - 105*x(a). Calculate d(i(g)).\nAnswer: 441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v - 28 = 0. Suppose 165 = 3*r + 4*d, 168 = 4*r - 3*d - 77. Let z = r + -33. What is the smallest common multiple of z and v?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 764054?\nAnswer: -93\/764054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 31, 45, 63, 85?\n\"Answer: 2*y**2 + 4*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223546 is divided by 302?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1674 = 15*h - 10*h - 4*b, h + 5*b - 358 = 0. Calculate the remainder when h is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 2*z + 5. Let r(y) = -1. Suppose -u - i + 227 = 4*u, -5*i = 3*u - 123. Let l = 47 - u. Determine l*g(c) + 6*r(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 5*x + 5. Let b(r) = -3*r + 11. Let a be b(5). Let y be u(a). What is the smallest common multiple of y + 4 - -39*1 and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*k**4 - 66*k**4 - 101*k**4 + (k**3 + k**3 - 3*k**3)*(5*k - 2*k - k) as d*k**2 + r + x*k + i*k**4 + p*k**3 and give i.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 53*o**2 - 49*o - 141. Let x be p(-3). Calculate the greatest common divisor of x and 2093.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69750 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = 5. Let k be (-2 - 0)*6\/l. Find q, given that 4 - 9*q**k + 0*q**2 + 8 + 3*q**2 + 24*q = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36733678*o**3 - 311*o**2 - o + 262.\nAnswer: -220402068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 15, -r - 81 = 4*r + 2*v. Let f = r + 8. Let t be 12\/132 - (-54)\/11. Which is the second biggest value? (a) 1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*b - 13, -1623 + 1632 = -3*b - 3*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-285)\/(-55) - 1\/((-33)\/(-6)). Suppose -3*x + 45 = 3*r, 82 + 23 = y*x - r. Suppose -6*j + j + 336 = 2*c, 5*j - x = 0. List the prime factors of c.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r + 1. Let o be (-1 - -1)\/(r + 0). Solve 3*t - 17 = -o*a + 4*a, a = 5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1609 = -4*a + 4968, -3293 = -2*a - 3*s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*b**2 - 4743*b - 1130621 wrt b?\nAnswer: -60*b - 4743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**6\/2 + 24*p**5\/5 - 18*p**4 + 34*p**3 - 69*p**2\/2 + 18*p + 754. Find o such that w(o) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37085856 and 1704?\nAnswer: 37085856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 133 = 3*y + 4*v, 2*y = v + 93. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 + 131 = 0. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 10 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*c = -6*c - 512*c + 2628. Let z(l) = l**3 + 2*l**2 + l. Let x be z(-1). Let s(u) = x*u**3 - 4 - 2*u**3 + 3*u**3 + u - 4*u**2. Give s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-18)\/b*b**(1\/37)*b)**(-6))**10)**(3\/10) assuming b is positive.\nAnswer: b**(11970\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 49*n = -83*n - 252. Which is the nearest to n? (a) -1 (b) -22 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 + 58674*w**4 + 174319*w**2 wrt w?\nAnswer: 120*w**2 + 1408176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -93*w**2 - 18*w - 20. Calculate p(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115399*k**2*p + 6*k**2 - p + 12075 with respect to p.\nAnswer: 115399*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 smaller than -0.0766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.0902 + -0.1182. Let x = -34 + 32.1. Let t = q + x. What is t rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -264, -469, -656, -819, -952, -1049, -1104?\n\"Answer: t**3 + 3*t**2 - 221*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/49*455\/(-130)*-92\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 119*d**2 - 35. Let x(j) = -7*j**2 + 2. Let h(w) = 2*u(w) + 35*x(w). Let c(i) = -i + 12 - 5 - 7. Give c(h(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 88 = 5*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 10. Let v be g(-8). Let n(o) be the first derivative of -o**3\/3 - 15*o**2\/2 - o + 20. What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/17, -11\/991, 2\/15, 4?\nAnswer: -11\/991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.211416 or 0.12?\nAnswer: -1.211416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 3 (c) -0.4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose 46*g - 25 - 159 = 0. Calculate the highest common divisor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = 31. Let a be (2 - 200\/12)*y\/4. What is the greatest common divisor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2 + h - 36. Let x = 9 - 9. Let k be f(x). Is ((-2313)\/k)\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 1 - 41. Let f = s - -24. Let o(c) = c**2 + 2. Determine o(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*2\/(-65)*9\/4*5\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 5*d - 2. List the prime factors of w(6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790077077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**5 + 108*r**4 - 1068*r**3 + 4708*r**2 - 8928*r + 5184 = 0.\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 6, f: 4}. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 297178209 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: Put together -74573 and -66307.87.\nAnswer: -140880.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 2*c**4 + c**4 + (-2*c + c**3 + 3*c**3 - 3*c**3)*(2*c - 12 + 12).\nAnswer: c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(88)\/(sqrt(8) - sqrt(8)*-2)*-1.\nAnswer: -sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 943592 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - 4 - -3 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 654\/7. Let l be (-15)\/14 - 847\/(-726). Which is the nearest to l? (a) -5 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 3*o)*(3017*o**3 - 17*o - 3017*o**3 - 37*o**4).\nAnswer: -37*o**5 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from yayyaaaayaaay?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389, -2525, -3661, -4797?\nAnswer: -5933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12663 and 1575?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 + 5*a**4\/12 + 7*a**3\/6 - 3*a. Let m be i(-8). Let q = -148 - m. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1401 or 1644?\nAnswer: 1644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684411?\nAnswer: 3, 409379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1377, -5486, -12323, -21882, -34157?\n\"Answer: d**3 - 1370*d**2 - 6*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4424 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*l*u*w - 2042*l*w - l + 20*u*w + 39731397*u with respect to w.\nAnswer: -138*l*u - 2042*l + 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.19 + 42. Let r = -0.09 - g. Put -4, r, 2 in ascending order.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1292055 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004831 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uulul. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758*r + 758*r - 33*r**4)*(r + 4*r + r).\nAnswer: -198*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + h + 11 = 0, -26 + 22 = -2*o - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = 5*i, -4*r - 2*i - 14 = r. Which is the nearest to r? (a) 0.1 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 449 = 109. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308404 divided by -14?\nAnswer: -654202\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128108117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**2 + 0*h + 6*h - 4*h - 4*h to the form j*h + x*h**2 + n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 318\/7. What is the second smallest value in 7, -7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 25 = -3*k, 69431*z - 12 = 69430*z + 2*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 2*b**2 + 10 + 2 - 11 - 4682*b.\nAnswer: -11*b**2 - 4682*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*h**3*n**3 - 8*h**3*n**2 - 9*h**2*n**3 - 159375*h**2*n**2 - 152*h*n**3 wrt n?\nAnswer: 792*h**3 - 54*h**2 - 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 2. Let i(j) = 14*j + 2. Let d be i(2). Suppose -9 = -3*t - d. Let x(f) = -f**2 - 8*f - 5. Let u be x(t). Determine o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - w. Calculate l(-6).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6383\/55030 + -88\/5503. Factor 4\/5*d**2 - 1\/2*d - 7\/5 - g*d**3.\nAnswer: -(d - 7)*(d - 2)*(d + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 921\/52 + -214\/13. Put -79, 0.1, t in descending order.\nAnswer: t, 0.1, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**2 - 46*m + 272. Calculate j(-6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106205667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5415)\/4598*11 - (-13 + (1 - 1))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 4*s + 4. Let x(v) = -v**2 + v - 1. What is -k(r) - 4*x(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 56*b - 411. What is k(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 6. Let k(t) = -5*t - 54. Let q(n) = 7*n + 84. Let m(a) = 8*k(a) + 5*q(a). Give -9*g(v) - 4*m(v).\nAnswer: 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -72?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*w + 6, 5*w = 2*t + 5 + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 48*m**2 - 152*m + 0 - 16*m**2 + 1025*m.\nAnswer: 32*m**2 + 873*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Suppose 7 = 2*c + m. Find the second derivative of c*i - 4*i**5 + 2*i + i - 3*i wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1564.\nAnswer: 469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6190)\/(-6) + 1\/3. Let q be p\/132 + 4\/22. Solve -4*h + 0 + q = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.94 + 0.06. Let f(r) = -r**3 + 20*r**2 + 18*r + 18. Let z be f(21). Let j be (12\/z)\/(4\/(-6)). What is the third biggest value in n, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -61. Solve -2 - 10 = -b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264561.\nAnswer: 1264561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x. Let z(m) = -m**2 - 7*m. Let s be z(-6). Let a be i(s). Let k be 4\/(-14)*a\/12. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253\/7 - 36. Let n = -521.1137 - -0.1137. Let b = n + 516. What is the third biggest value in b, q, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -395, -1686, -4461, -9284, -16719, -27330?\nAnswer: -41681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - c = -2 - 3, 3*k + 4*c = 20. Let p(y) = 3*y - 6 - y + k*y. Calculate the remainder when p(4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + 111. Let i = 482 - w. Calculate the greatest common factor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 19 + 19\/4*b**4 + 0*b + 0*b**3 + b**2. Find the second derivative of n(f) wrt f.\nAnswer: 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 589 + (3 - 21\/3). Suppose 8*x = 807 + r. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**4 + 68*m**4 + 9*m**4 + (8*m**2 + 2*m**2 - 3*m**2)*(-m**2 + 2*m**2 - 3*m**2).\nAnswer: 55*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(-8))\/k*k)\/k)\/k**(-8)*(k\/(k**(-8)\/k*k)*k)\/k**(3\/8) assuming k is positive.\nAnswer: k**(213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 15657.46?\nAnswer: -15657.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2421 and 3132774?\nAnswer: 3132774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 309036*z**2 - 17318560*z.\nAnswer: 4*z*(z - 56)*(z + 77315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/27)\/(76\/114).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-4))\/(206\/206)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271*c*n*s**3 + 53*c*n*s**2 - c*n*s + 58*n*s + 148*n + s**3 - 2*s wrt c.\nAnswer: 271*n*s**3 + 53*n*s**2 - n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + 58\/6. Let n = s - 7. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131785 (base 9) to base 14.\nAnswer: 2129b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + -4 + 3 + sqrt(891) + 0)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d5eb + 0?\nAnswer: -2d5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1104, 4694, 10680, 19062?\nAnswer: 29840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 225?\nAnswer: -17\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*q + 20, -3*b - 8 = -q - 2*b. Calculate the highest common factor of 44 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*j = 296*j - 11. Sort -5, 8, j in descending order.\nAnswer: 8, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1177 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183209 times -0.3?\nAnswer: -54962.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(63) - -4*sqrt(252)) + -3 - (3*sqrt(14)*-1)\/(-6*sqrt(18) - sqrt(2)))**2.\nAnswer: -5471847\/361 + 9180*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1997*q - 4328 = 194*q + 3901 + 4917 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g - 4. Let h be 529\/(-46) - 1\/(-2). Let b(u) = 16*u + 17*u + 5*u - 6*u**2 - 8*u - 21. Let y(n) = h*a(n) + 2*b(n). What is y(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2765 = -40*u - 513*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -54, -52?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10318 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3644 and 152137?\nAnswer: 608548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -561, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x + u = -137*x - 8, -4*u + 10 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 2*j)*(-11 - j + 0*j + 3*j)*(4 - 1 - 2) to the form n*j + c + v*j**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 19*y + 19*y - y**2 in the form z*y + c + k*y**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 9. Let d be o(6). Suppose -310 = -d*z - 85. Let t = z + -21. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 675571.5 and 384350?\nAnswer: 291221.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 - 14*z - 18)*(0*z - 18*z + 31*z).\nAnswer: -182*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.216*-337052\nAnswer: -72803.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288991 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -10*q - 2150. Let x = 338 + q. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 244*b**2 - 1402*b + 1160 = 0. Calculate b.\nAnswer: 1, 5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -34.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 1, -a + 5 = 2*l. Suppose -53 = -5*k + 4*o, l*o = 5*k - 0*o - 50. Solve -4*w + 5*s - k = 0, -3*w + s = 4*s + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (67 + -77) - (5 + -3 + 34)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (3 - 1 - -80). Suppose -6*h - 105 = n. Let q = 41 + h. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*q - 846 = -352*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27 - 13*b + 4*b + 20. Let r be t(5). Suppose -4*a + 2*s + 370 = -2*a, r*a + 5*s = 349. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-2)\/(-5). Let q(c) = c. Let u be q(-2). Let b be (5\/(-2) - u)*w. Solve 3*i - 12 = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4624355 to the nearest integer?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*g. Let p = 8 - 0. Suppose t = p - g. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose 0 = z*i - i. Suppose 5*g - g - 44 = i. Calculate the remainder when 20 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 640 = 4*f, -2*y - 2*f + 435 = 7. Suppose 4*m - y = -0*m. What is the remainder when m is divided by (3 + -2)\/(1 - (-18)\/(-19))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 222522*h - 445042*h + 222520*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*-27619\nAnswer: -57999.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -121*d**2 - 703*d + 91. Calculate r(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317299 is divided by 165521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -48*j + 89. Let q = -131 + 113. What are the prime factors of r(q)?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. What is the units digit of (-39)\/(-3) - r - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, 4, -11, 1.\nAnswer: -11, 1, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62607 and 762.\nAnswer: 15902178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 1.4. Let n = s + 0.59. Round n to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-662)\/(-70) - ((-11808)\/1722 - -6).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 3*h**2 - 5*h + 4. Suppose 0 = -4*m + 5*l + 11, 3*m - 11 = l - 0. Calculate c(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -287 (c) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10354, -20707, -31060?\nAnswer: -41413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 2*l - 18, -7 = 4*f + 3*l. Let r = 2385 - 2369. Solve 0 = -f*i + 3*s - 12, -3*i + 4*s = r + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w - 0. Solve -13 = -4*q - w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 61*p - 14. Let i be f(20). What is the highest common factor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 4, -19, 5, -17 in ascending order.\nAnswer: -19, -17, -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9407491 rounded to the nearest ten thousand?\nAnswer: 9410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - h - 64 - 89, -10 = -5*h. Let l = i + 58. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 - 205360*j + 2108636480 = 0.\nAnswer: 20536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:06 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 bigger than -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06042 plus 21.1?\nAnswer: 21.03958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 98*m + 2661*m + 2325*m - 920*m.\nAnswer: 4164*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 16. Let r be h(-8). Let z = r - -56. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2502)\/(-556)*(-4)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.5. What is the second biggest value in 0, -1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21b (base 13) to base 7\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let y = a - 3.5. Let d = 2.06 + -0.06. Sort y, d, -1\/4 in descending order.\nAnswer: d, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 - 16 = -4*a. Suppose 29*g - 30*g = -250. Let u = g + -53. Calculate the remainder when u is divided by a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10005\/(-3335))\/(2 + (-302)\/126 - (-8)\/28)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3 (b) 0.12 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2675\/(10 + -5) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -17) + -1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k - 23. Calculate g(-16).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(3*1*8*32\/(-768)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*j**3 - 4*c**3*j - c**2*j + c**2 + 3*j**3 wrt c.\nAnswer: 12*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.859 times 40?\nAnswer: 114.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 7*s - 877. List the prime factors of r(-45).\nAnswer: 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 2*v + 5*v)*(3157*v**2 - 3155*v**2 - 2*v**3 - 5*v**3) to the form q*v**2 + t*v**4 + k + w*v + b*v**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v + 2*g - 13, 7 = v + 3*g. Let n(z) = -z**2 + 5*z - 2. Let w(f) = -220*f - 4838. Calculate the least common multiple of w(-22) and n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**6\/t))\/t**8)\/(t\/((t\/(t**(-1\/4)*t))\/t))**(-1) assuming t is positive.\nAnswer: t**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1156 and 272?\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {z: 1, c: 1, m: 10, x: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3602919 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**2 - 21445*c - 107350 = 0?\nAnswer: -5, 4294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5590128*a**4 + 2*a**3 - 13435062 wrt a.\nAnswer: -22360512*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - -47 - (40 + -1) - -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:46 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 11 = -17*m + 5*c, -2*m + 2*c - 2 = 0. Solve 0 = -k - m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1394 and 340.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.035 (c) 11 (d) -25\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 289, 286, 283?\n\"Answer: -3*h + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -5. Let d be (s\/5)\/(2\/5). Suppose -d = -5*k + k. Which is bigger: k or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*o + 4*p, 2*o + 48 = -3*p + 55 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -0*s. Let k be (2 + 8\/(-2))*-1. Let q(j) = -6*j**k + 1 - 58*j + 58*j - j**3. What is q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - 36*k + 10. What is o(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(5\/(-15))*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 22*m - 11. Let z(n) = n - 1. Calculate b(f) - 11*z(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 8, o: 4}. What is prob of picking 2 q?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 + 447*x**3 - 3 - 455*x**3 + 3.\nAnswer: -8*x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*l - 22*l - 41*l)*(-9 + 9 + 6*l)*(-2*l + l - 3*l)*(4 + 0 - 2) to b + n*l**2 + g*l + h*l**3 and give h.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2*-5 - sqrt(136)) + (sqrt(136) - (sqrt(136) + (sqrt(136) - sqrt(136)*1*-6) + sqrt(136))))\/(sqrt(224)\/sqrt(7) + -2*sqrt(8)*5).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 1)*(4*i - 5*i - i) + i - 3*i + 4*i)*(5 - 3 + 1).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*c + 103. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:54 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 0 - (12 + -16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 14 = u. Let l be u\/35 + 22\/5. What is the third derivative of 4 - 3*y**2 + 2*y**4 - l wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -729 in 7.15, -26, -10?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/36 + 6409\/2. Find the common denominator of 139\/6 and (68\/(-70) + 1)\/(d\/(-72535)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*c + 10 = g, 0 = -2*g - c - 7. Let u be 6\/(-40) + g\/12. Let h be 10\/3*(-6)\/(-4). Does h = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 13, s: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - 130\/(-15). Suppose 15 = 6*p - p. Let b(q) = 2*q - 8. Let c(x) = -x + 3. What is p*b(y) + z*c(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (1 - (-7 + 4)). Suppose 2*t + 3 = w. Suppose -t = 5*d - 41. Calculate the remainder when 18 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55341*g + 220886*g - 55334*g + g**3 - 2*g**3 - 55330*g - 54881*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3.878?\nAnswer: 0.7756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/142 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 7, c: 4, a: 1, w: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87902064 a multiple of 566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2 + 1 - 3. Let j be p(0). Let y = -3 - -4. Which is the nearest to 1? (a) 0.3 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -0.4, 81, 30 in descending order.\nAnswer: 81, 30, -0.4, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-29\/5)*h*h*h*h**(-4\/3)*h*h**0 assuming h is positive.\nAnswer: h**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 349, 779, 1379, 2149, 3089, 4199?\n\"Answer: 85*g**2 + 5*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4644 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 116 = -18*w - 16*w. Let s = 1 - 1. Let v = s - -4. Solve v*c + 3*j - j = 4, -16 = -4*c + w*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 96 = -26*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26186 + 26185.9999973592. What is l rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z + 7. Let c be j(-7). Suppose -3*b - 4*v = -50, -4*v + c = 4*b + 2. Let k = -9 + b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w)**(-50)\/((w*w\/(w*w**(2\/39)*w))\/(w\/w**(-2\/33))))**(2\/9) assuming w is positive.\nAnswer: w**(57518\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/165 + l**4\/66 - 3*l. Factor j(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 * 4592.68.\nAnswer: 1607.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17355.\nAnswer: 3, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -304, -315, -330, -349?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.405674 minutes in microseconds?\nAnswer: 504340440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 136 - 125 - (0 + -7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767700?\nAnswer: 2, 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d - 2. Let c be z(3). Suppose 0*f + 3*f - 2*h = 35, f - 30 = -3*h. Solve -c*u - f = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 70*p - 2*k = 40*p + 7, 4*k - 28 = -50*p - 162 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 85 = -56*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-5))\/((-2)\/(-40)). Let q be (r\/(-30))\/(15\/75). Factor -1\/3 - q*m**2 + 8\/3*m.\nAnswer: -(4*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2)\/(-14 + 12). Solve -2*l - 3*a + 10 = 0, -a = 2*l - o*a - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/14732289 and -83\/5247?\nAnswer: 780811317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27414\/23 - -1192. Let u = 3.3 - 6.3. Let f be 3\/(-8) - 0\/(-1). What is the second smallest value in f, t, 5, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780973?\nAnswer: 103, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let r = 8 - p. Let v be (r\/(-10))\/(3\/15). What is the closest to 2 in -4\/5, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -165, -221, -249, -243, -197?\n\"Answer: i**3 + 5*i**2 - 100*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 262 = 5*t - 3*t, -2*t - 4*g + 232 = 0. Suppose -4*n + 686 = -t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 109 = 1. Let n be c\/9 - (-14)\/(-6). Suppose 4*u + u = -3*o + 22, -2 = u - o. Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/271 or 27141?\nAnswer: 27141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 32. Let i be p(18). Let x = 26 + -25. Suppose t + 2*r = -x - 0, r = -t + 1. Solve -4 = -0*g - 4*g - h, -i*h = -t*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 - -96. Let q = y - -262. Which is the closest to -1? (a) 0.8 (b) -2\/17 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 1.98. Let h = -13947 + 13938. Put p, 1\/3, h, -3 in descending order.\nAnswer: p, 1\/3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + j - 81*j**3 - j + 78*j**3 + 194*j**3.\nAnswer: 194*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -70 + 22 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1014, 2119, 3224, 4329, 5434, 6539?\n\"Answer: 1105*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6451 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n = 1709419 - 521619. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -3*d + 3*v, -2*d + 26*v - 23*v + 501 = 0. Solve 0 = 19*z + 207 - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + -237801?\nAnswer: -237800.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 2 + 2 + (-c + 3*c - 3*c + (-3*c + c - c)*(2 + 5 - 5))*(29 + 16 - 24)*(4*c + 6 - 6) as f*c + m*c**2 + z and give m.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - z**2 + 2 - 3*z**2 + 2*z**2 + 0*z**2 + (-z + 4*z - 2*z)*(z - z + z) + z + 2*z**2 - z + (431 - 431 - 155*z**2)*((-3 + 2 - 1)*(6 - 1 - 3) + 4 + 0 - 2).\nAnswer: 311*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68)\/sqrt(100) - (sqrt(17) + 0 + 3 + sqrt(17))**2).\nAnswer: -77 - 59*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -24 + 40 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975072847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 (base 5) in base 3?\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y - 562. What is f(25)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 + 18*r - 18. What is the tens digit of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 5153 = 3*t + 17*p, -4*t + 6840 = p. Calculate the greatest common factor of t and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230943787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 496*z - 1008.\nAnswer: 4*(z - 126)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242453?\nAnswer: 242453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -2)\/((-1)\/3). Suppose -z - 3*z - 5 = -k, p = -3*k. Let a(h) = -h. Let n be a(z). Solve 4*c = 2*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -11*n**5\/20 + 4*n**2 + 4*n - 7. What are the prime factors of f(-3)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 6. Let q be o(-6). Let h = 25 - q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66103207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -2, -5, -6, -5, -2?\n\"Answer: t**2 - 8*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 6*c + 2*c**2 - 3*c + c**4 + 7*c - 37 - 71 + 2*c**3 in the form x*c**2 + d + s*c**3 + v*c + p*c**4 and give d.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 241 = -61. Let q = -1 - d. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 3*o**2 + 2*o - 2. Suppose -k = r - 5, 5*k + 2 = r + 3*r. What is the units digit of t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 40 = -27*g. Let w be 10\/4 + (-180)\/(-120). Factor -3\/4 - 3\/4*j**w + 3\/2*j**g - 3\/2*j**3 + 3\/4*j**5 + 3\/4*j.\nAnswer: 3*(j - 1)**3*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2. Let b(o) = o**2 + 8*o + 3. Let d be b(-5). Let z be (-10)\/(-4)*d\/(-15). Let u(j) = 4*j - z*j + 5 - 5. Give u(q(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d + 72 = 0. What is the remainder when 71 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 66. Let j be -17 - 14 - -47 - (3 - 0). Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19497 divided by 4.\nAnswer: 19497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, t: 1, a: 1, s: 1}. Give prob of sequence tau.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327.5 - 241. Let g = m - 86. Let k = 0 - -0.1. Put 1, g, 3, k in descending order.\nAnswer: 3, 1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4*f**3\/15 - 16*f**2\/5 + 28*f\/5 - 251. What is z in r(z) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 26. Let o be y(-4). Suppose 3*t = -w + 397 + 267, o*w - 665 = -3*t. List the prime factors of t.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1214*o. Let p(q) be the second derivative of q**4\/6 - 500*q - 1. What is p(m(h))?\nAnswer: 2947592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/56 + 3\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 48. Let q be (v\/(-10))\/((-2)\/68). Let b = q + -17. Put -5, 5, b, 2 in descending order.\nAnswer: 5, 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 + -0.45. Which is the closest to 2? (a) -3 (b) y (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.124 - -0.124. Let x = r - -49. Is 2\/279 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005314 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7363 + 3683 + 4*t + 10*t**4 + 3682 + 3*t**2 + 8*t in the form b*t + l*t**2 + j*t**4 + m + d*t**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70071*d**2*h**6 + 238*d**2*h**3 - 70*d**2*h**2 - 18*d**2*h + 88*d*h**2 + 2*h**2 + h wrt h.\nAnswer: -8408520*d**2*h**3 + 1428*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*b**2 + 7 + 1 - 67*b**2 + 38*b**2 - 2*b**3 as z*b**2 + q + x*b**3 + l*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5 + -e8bf8?\nAnswer: -e8c9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 16\/5*y**5 + 0*y + 0 - 20*y**2 + 32\/3*y**3 + 1\/30*y**6 - 8\/105*y**7 - 38\/3*y**4. Determine c, given that g(c) = 0.\nAnswer: -4, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 465\/(-50) - (-154)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w - 33. What is the tens digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2421097*w**2 + 1038234 with respect to w.\nAnswer: -4842194*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (16863\/(-585))\/(-11) and 73\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2204, -8682, -19482, -34604, -54048?\n\"Answer: -2161*i**2 + 5*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 - -10220?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/780 - c**5\/195 + c**4\/156 + 37*c**2\/2 + 2*c + 37. Let g(f) be the first derivative of p(f). Factor g(x).\nAnswer: 2*x*(x - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (0 - -4) - -6. Suppose -7 = -3*m + 8. Sort m, -8, 0, u in decreasing order.\nAnswer: m, 0, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114302034 (base 5) to base 11.\nAnswer: 33a422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x**3 + 618*x**2 + 21*x - 2877. Give u(-44).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/129786 and 85\/1750104?\nAnswer: 169760088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/13)*y)\/y*y*y**(-16)*y**(-2\/29)*y**(2\/5)*y assuming y is positive.\nAnswer: y**(-26346\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biffhfbhi. What is prob of picking 1 b, 1 h, and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-6) - 1)\/((-2)\/12). Let n = 1.84 + -1.64. Sort 2\/13, u, n, 0.4 in descending order.\nAnswer: 0.4, n, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/21 + s**6\/60 + s**5\/15 + 5*s**3 - 140*s**2. Find the third derivative of w(o) wrt o.\nAnswer: 960*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*t - 62, 2*t = 3*k - 2*k - 42. Suppose -4*s - 5*p = -35, 3*s - k = 4*p - 3*p. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 210 = -24*n. Let c be -3 + (35\/n)\/7 + 3. Let j be (-10)\/12 + 1\/3. Sort j, 1\/7, c in descending order.\nAnswer: 1\/7, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 0 + (6 - (-11 - -24))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -552 divided by 6\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2267467191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-10 - -4)) + 3 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045779 is divided by 519.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Let m(b) = 5 + 5 + 2*b**2 + 4124*b - 4134*b. Suppose 50 = -v + 6*v. Suppose r - 2 = -r. What is r*m(w) + v*z(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954107 a multiple of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29433)\/51 - (1 - 57\/51). Which is bigger: f or -576?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70875 and 90.\nAnswer: 141750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 19*b - 378 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 18*c - 36. Let k(o) = 3*o**2 + 9*o - 18. Let g(d) = -4*a(d) + 9*k(d). Let l be g(6). Solve l = -4*z - 3*i - 7, 3*z + 2*i + 7 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 14*t**2 + 14*t - 23. Let x be o(13). Calculate the remainder when 138 is divided by (x\/4 - -2)\/(28\/(-2632)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*(-25)\/16250*(-4)\/(-18)*3.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1925 (base 11) in base 4?\nAnswer: -210111321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 60. Suppose -5 = 3*x - y. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298 + 851. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277192?\nAnswer: 2, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 58 - 36 - 255 in the form h*m**2 + w + v*m and give w.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -64713 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.96 minus 0.30217505643?\nAnswer: -5.26217505643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38998 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0342125 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -30 (b) 5 (c) -2 (d) 4 (e) 0.04 (f) -1 (g) 1.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*x = 351*x - 32 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1053.\nAnswer: -5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, -9, -19 in ascending order.\nAnswer: -19, -9, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190478226 by -63492742.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 35*g**2. Let d(c) be the second derivative of 3*c**4\/4 - 3*c**2\/2 + 539*c. Determine m(d(n)).\nAnswer: 2835*n**4 - 1890*n**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2436344, -4872738, -7309130, -9745520?\nAnswer: -12181908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5 - 402575*b**4 - 2116*b**2 + 2403*b?\nAnswer: -120*b**2 - 9661800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 44. Let k be (1 - 5)*(-2 - 21). Let c = k + w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1600334, 1600335, 1600336, 1600337?\n\"Answer: n + 1600333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698635.\nAnswer: 3, 5, 379909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.04. Let t = y + 0.16. Let w = 3.87 - t. Which is the closest to 2\/3? (a) 5 (b) 8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:24 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 306, 190, 26, -186, -446, -754?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 98*g - 1 + 6*g**3 - 98*g in the form z*g**2 + x*g + d + i*g**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 40*m**2 + 85*m + 215. Let u be q(-42). Solve -5*a + 168*z - 10 = u*z, 0 = -a + 4*z - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294000 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.4 - 1.5. Let j = 12 + p. Let f = 0 - 2. What is the third smallest value in j, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677684 - 677681 + 2*d + 19*d**3 + 1355365.\nAnswer: 19*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.089 + -66.089. Let w = t + 66.4. What is the closest to -5 in -2\/7, w, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 4*m**2 + 2*m**2)*(-89*m + 0*m**3 + 110*m - 5*m**3).\nAnswer: 30*m**5 - 126*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(3 - 2 + 1) - 4 + 4 - 3)*(0*c + 0*c + c**2).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2848737*z**2 - 1921922 wrt z.\nAnswer: 5697474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = s + 3*s. Suppose 16 = 3*r - 2*b, r + 2*b = 2*r - s. Solve 2*h + r = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5832\/(-2187))\/((-2)\/8 + (-3)\/(-108))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/84480 and -139\/89760?\nAnswer: 1436160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + 0 + 0. Suppose -p = 3*p - 64. What is the remainder when 31 + (l - 0) + 2 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-989)\/46*228\/817\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254\/7 + 2801\/77. Let t(q) be the first derivative of -5 + 0*q + z*q**2 - 1\/22*q**4 + 0*q**3. What is w in t(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2478886*r**2 - 508091*r wrt r.\nAnswer: 4957772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2495, 2164, 6821, 11476, 16129, 20780?\n\"Answer: -h**2 + 4662*h - 7156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*i**3 + 1245*i**3 - 3068*i**3 + 244*i**3.\nAnswer: -1932*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z + 3*d, 3*z + 34 = 5*z - 4*d. Let l = 26 - z. What is the remainder when 30 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let j = 0.1 + -0.3. Let o be 0 - (-2)\/(-10)*-3. What is the closest to o in j, d, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*c**3 - c**2 + 30367*c - 36840735 with respect to c.\nAnswer: 111*c**2 - 2*c + 30367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 414, 401, 396, 405, 434, 489?\n\"Answer: l**3 - 2*l**2 - 14*l + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 22. Suppose -10*l + 11*l = b. Suppose l = 11*d - 6*d - 25. Solve 25 = -0*j - d*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = 10. Let a be 3 + 1 - (10 + o). What is the second derivative of -a*g + 2*g - 8*g**5 + g wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(57\/152)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 + 9174*n**2 - 9174*n**2.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 251*j**7\/21 - 17*j**4\/6 - 4*j**3\/3 + 216*j + 2. What is the third derivative of z(o) wrt o?\nAnswer: 30120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21583.708 - 21574. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/61)*l\/((l\/l**(-6)*l)\/l) assuming l is positive.\nAnswer: l**(-368\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 times 0.2?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Suppose -5*b + 8 = -7. What is h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 9*j**2 + 11*j + 6. Let c be d(-10). Let g be ((-3)\/(-2))\/((-3)\/c). Suppose 0*p = -2*t - 2*p + 164, g*t - 5*p = 129. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from mqpmqmpppqpppmpm.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4114312?\nAnswer: 2, 514289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -4, -6, 0.5, 0.2, 1\/12 in increasing order.\nAnswer: -6, -4, -0.7, 1\/12, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 + (5 - 0) - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -23*o. Let f(v) = 8*v. Suppose -448*c + 18 = -451*c. Give c*b(n) - 17*f(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 26*g**2 + 15*g**2 - 4*g**3 + 11*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(i**2 + 2*i**2 - i**2) + (49*i**2 + 100*i**2 + 18*i**2)*(-13 + 23 - 11) in the form o*i**2 + x + y*i and give o.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310206067 divided by 310206067?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -3*h**7\/7 + h**4\/12 - 44*h**3\/3 + 149*h - 2. Find the second derivative of b(d) wrt d.\nAnswer: -360*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1590, -1585, -1580, -1575, -1570, -1565?\n\"Answer: 5*r - 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m. Suppose 0 = -f - 4*f + 50. What is the remainder when f is divided by 0\/1 - (-6 - m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13973 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 13\/96*r**4 - 1\/480*r**6 + 100*r**2 + 0*r - 7\/24*r**3 + 0 - 1\/48*r**5. Factor b(d).\nAnswer: -(d - 1)**2*(d + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Suppose -r = -v*r + 455. Suppose -4*i + 85 = -r. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/9 + 8\/(-36). Let y(d) = 2*d**3 - 4*d**2 + 2*d. Let f be y(a). Is (2\/3)\/(f\/6798) - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/(1\/3). Suppose -2*j - 19 = -5*s - 5*j, -15 = -3*s - 3*j. Sort w, s, -2.\nAnswer: -2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*r**5 + 41*r**2 - 19*r**2 - 22*r**2 - 4*r**5 + 0*r**5 + 2*r**5 + (-4*r + 0*r + 2*r)*(2*r**4 - 5*r**4 + r**4) + r**5 + 4*r**5 - 4*r**5 - 2 + r**5 + 2.\nAnswer: 94*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 63. Let p be k(-11). Solve 0 = p*h - 9 + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 - 633*l**2 - 5723*l + 5. What is x(-9)?\nAnswer: 3884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4.7. Let g = -0.38 - 0.12. Which is the second smallest value? (a) g (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -67, -112, -175, -256?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2. Let j(b) be the first derivative of 12 - 8*b**2 + 5 - 1 + 2*b**2. Determine h(j(z)).\nAnswer: -432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/91*17066\/(-10971)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*n**2 - 36472*f**2*n - 2*f*n**2 - 258*n**2 + 2*n wrt n.\nAnswer: -2*f**2 - 4*f - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.275206 tonnes?\nAnswer: 275206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -0*m. Suppose -3*g = 3*z, 8*z + 4 = m*z - 5*g. Let k(i) = -z*i + 2*i + i. Let o(j) = -3*j**2. Calculate o(k(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i**2 - 10*i + 5*i + 3*i + i. Let s(f) = -f**2. Calculate -h(x) - 6*s(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2*3\/9. Let w be (3 - 0) + 1368\/(-81). Let h = -14 - w. Which is the nearest to 1? (a) -4 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 + 14*d**2 - 8*d + 5. Let a be o(3). Let n(g) = g - 4. Let f be n(7). Let l be f*2*(-1)\/(-3). Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 6*b - 1. Let z be g(-7). Let p(c) = -c - 15. Let y be p(z). Find the common denominator of (-166)\/8*y\/14 and -93\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*u**4 - 35*u - 3?\nAnswer: -1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -15117273.\nAnswer: -15117273.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -15 + (-21 - (70 - 81))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1, 24, -351, 2 in increasing order.\nAnswer: -351, -2, -1, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 67613356 to the nearest one hundred thousand.\nAnswer: 67600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 430 = -40*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -97 + 54 + 162?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 9*v - 12. Let g be h(10). Let s be 6*(-6)\/(-4)*(g + 1). Calculate the common denominator of 3\/s + 973\/(-168) and 57\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*o + 18*o = 771 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -108857, -3, -2 in decreasing order.\nAnswer: -2, -3, -5, -108857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3650583 and 793605.\nAnswer: 18252915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4642 - 4638. Let c = 0.7 + -0.4. Let j = -0.2 + c. What is the nearest to j in -0.1, b, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 3*v**3 - v**2)*(0 + 0 - v) - 3 + 3 - v**4 + (4*v + 3*v - 4*v)*(2 + v**3 - 2) as w*v**4 + u*v**3 + d + o*v**2 + j*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14240.9 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 9*x + 51, 5*x + l = 2*l + 2*l - 43 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 20\/4)*(1 + -98). Let j(a) = -36*a + 2. Let s be j(3). Let x = v - s. Calculate the least common multiple of x and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -20411*f + 20382*f + 981 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, d: 2, m: 5, e: 3, b: 1}. What is prob of picking 1 b and 2 e?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31657\/4 or 7914?\nAnswer: 31657\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 375*d\/2 + 46875\/4.\nAnswer: 3*(d + 125)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1545 by 15.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 6755625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986938.\nAnswer: 2, 743, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 3 (c) -1104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -43. Solve -7*n + r*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/3 - 1040*p**4 - 800606*p**3\/3 + 1627272*p**2 - 8994344*p\/3 + 1638752 = 0. What is p?\nAnswer: -1234, -332, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166112 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8*(-16)\/(-10). Let p = -5007 - -175277\/35. Let o = p - u. Which is the fourth biggest value? (a) 0 (b) 5 (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51267 * 3\nAnswer: -153801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22795058306 - -0.47.\nAnswer: 22795058306.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 - 169. Let s = h + 119. Suppose -j - n = -s, 4*j - 278 = -j - 4*n. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1111 + 1119.93. Let t = -9.23 + x. Which is the second smallest value? (a) 4 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let j(z) = z + 673. Let n(x) = -9*x - 5382. Let v(y) = -49*j(y) - 6*n(y). Determine o(v(p)).\nAnswer: 5*p - 685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -10a5dce?\nAnswer: -10a5dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79.999997 - 80. Round y to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + 0)*-1 - (0 + sqrt(833)))*-5)**2 + (4*sqrt(17)*-3 - sqrt(187)\/(-4*sqrt(11)))**2.\nAnswer: 472753\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/14 - 6*j**3\/7 - 15*j**2\/7 - 2*j + 54. Factor i(k).\nAnswer: -2*(k + 1)**2*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, 4, -1 in descending order.\nAnswer: 21, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10011001111100001110010 (base 2) to base 7\nAnswer: -60606345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*p + 125*y - 123*y, 0 = 5*p - 4*y - 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 404435835 divided by -405\nAnswer: -998607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -0.508\nAnswer: -1.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from tdtdd.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = v - 5*g, -3*v + g - 101 = -345. Suppose 64*c = 54*c + v. Calculate the least common multiple of 20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 9 - 31. Factor -u**3 + 1\/2 + 1\/2*u**4 + 1\/2*u**5 + 1\/2*u - u**a.\nAnswer: (u - 1)**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4717656 micrograms to tonnes.\nAnswer: 0.0000000000004717656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l + 16*l - 12*l - 13*l - 6*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*s**3 - 3*s - 127*s**3 - 2*s**2 + 6*s**2 - s + 59*s**3 to the form b*s**3 + u + k*s**2 + r*s and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = 4*g, -g = 2*a - 2*g + 1. List the prime factors of (-5 + a)*(-26)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w - 285 = -62*w. What is the least common multiple of 51 and w?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 3*k**2 + k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 12 = -20*h. Let b be 1*((-1 - h) + 2). Solve -4*q = 18 - b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (180 - 181) + 2 + 140\/(-132)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-8\/5)*s**(-3)\/s*s*(s\/(s\/((s*(s*s**(-4\/35)*s)\/s*s)\/s)))\/(s\/((s\/(s\/(s\/(s\/s**(-31)*s))))\/s)) assuming s is positive.\nAnswer: s**(-243\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let b(q) = 561*q. Let y(s) = 35*s. Let j(g) = -99*g**3 - 3*g**2 + 7*g - 4. Let n be j(1). Let p(f) = n*y(f) + 6*b(f). What is l(p(k))?\nAnswer: 9801*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.1, -0.14, 131, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 98*g - 3017. Give z(-32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-28)*168*(-10)\/(-1440)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 4, -211, -1, 0, 154 in decreasing order.\nAnswer: 154, 61, 4, 0, -1, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3539*42.\nAnswer: -148638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*x**2 - 358*x + 358*x - x**2 + 3*x**2 - 3*x**2 + (-4 + 4 - 2*x)*(-2*x + 3*x + x) + 0 + x**2 + 0.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 396838037659\/7582 - 52339493. Let d = -3\/446 - b. Is -2\/3 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 18*j + 47. Let w be r(-3). What is the closest to w in -5, -3\/5, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 45 = -162*n + 23. Put 5, n, -4, 0 in descending order.\nAnswer: 5, 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:00 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.03, -1\/9, 195, 10, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 7965\/1607 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and (3 - (-1644)\/(-272))*3\/9.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(567) - (sqrt(567) + sqrt(567) + 1))*-1 + 5*(sqrt(567) + 1 + sqrt(567) + sqrt(567) - sqrt(567)) + -4 + -1))**2.\nAnswer: 1782*sqrt(7) + 617472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -7. Let i = -3.1 - -0.1. Let d = 22 - 19. Sort i, y, d in decreasing order.\nAnswer: d, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -14, 4, -168, -108 in descending order.\nAnswer: 4, 3, -3, -14, -108, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -2*t + 3*g + 13 = 0, -g - 11 = o*t + 4*g. Calculate the remainder when 7 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*k - 3*k - 106, -5*c - 85 = 5*k. Let w be (k\/3)\/(-4)*-72. Let i = -80 - w. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**11*m)*m*m*m\/((m**(6\/5)\/m)\/m)*(m\/m**12)\/m**(-4\/5) assuming m is positive.\nAnswer: m**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -4. Let k = 1578 - 1550. What is the units digit of (p\/k)\/3 + 234\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 57 in descending order.\nAnswer: 57, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let t(d) = 148*d + 1 + 197*d + 169*d - 464*d. What is the hundreds digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 11*u**2 + 16*u - 15. What is k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 91, 308, 727, 1414, 2435, 3856, 5743?\n\"Answer: 11*k**3 + 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 46*w**3 - 3*w**2 + 35*w - 32. What is j(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1, 4, -313\/6, -4, 2?\nAnswer: -313\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 2701. What are the prime factors of l?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245254?\nAnswer: 2, 3122627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695 = 839*y + 19992 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -384\/5. Let x = -0.209 + -0.791. Is x at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-2.96201139\nAnswer: -3.06201139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913769?\nAnswer: 379, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4444 and 202?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + 1 + 2)**2.\nAnswer: -80 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 0 + (9 - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -46, -90, -172, -304, -498?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39781 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1 + 74*d**2 + 1 + 6 - 5. Let y be v(2). Suppose -7*z - y = -12*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4913 times -3\nAnswer: 14739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 - 133 + 23 = -84*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 r when three letters picked without replacement from rcrgdncngroggrrnrogg.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4350 and (-6)\/8*(-104 - -60)?\nAnswer: 47850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1\/58, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, 161, -1 in descending order.\nAnswer: 161, -1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 + 45*y**2 + 36*y**2 - 5*y**2.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrc when three letters picked without replacement from {n: 5, t: 5, r: 5, c: 1, i: 2}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/((-53280)\/777)*2*(-2)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/120 - 2*x**4\/3 + 5*x**3 + 9*x**2. Let o(r) be the first derivative of f(r). Determine o(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = 3*q - 2*g, 4*g - 21 = -5*q. Solve -q*m - 1 = w, w = 4*w + 2*m - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2 - 2*l - 2. Let m(w) = -w + 1. Let a(v) = d(v) + 3*m(v). Is a(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1092 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1694 (base 10) to base 8.\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**6 + 0*x**3 - 25\/12*x**4 + 0*x**5 + 0*x**2 + 0 - 19\/42*x**7 + 38*x. What is the third derivative of d(h) wrt h?\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 29. Let w = -15 + t. Let r be (2*(-3)\/6)\/2. Which is the biggest value? (a) -1 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, r: 1, e: 1, y: 1, x: 2, t: 1}. Give prob of picking 2 x, 1 t, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -41c5?\nAnswer: 41d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512966925 and 1836.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5\/6, -4.44, -2172?\nAnswer: -4.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2252, 4509, 6772, 9041, 11316?\n\"Answer: 3*l**2 + 2248*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x = -11*x + 126. Let f be 5\/((-70)\/x) + (-104)\/91. What is the third smallest value in -6\/7, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 9*k + 5. Let d be y(9). Suppose d*b - 3*b + 3*s - 491 = 0, 4*b - 1009 = 3*s. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273d6 (base 15) in base 13?\nAnswer: 45312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4306677, -4306672, -4306667?\nAnswer: -4306662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 + 2*n**4*s**2 + 7*n**3 - n*s + 25*n + 2*s**2 wrt n.\nAnswer: 80*n**3 + 24*n**2*s**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-5)\/(15\/756). Let p be x\/(-5) + (-6)\/30. Calculate the highest common factor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f**3 + 3*f**2 + 3*f. Let k = -8 - -4. Let d(b) be the first derivative of -3*b**4\/2 - b**3\/3 - b**2\/2 - 1. Give k*p(j) - 11*d(j).\nAnswer: -2*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13651 + -10531. Calculate the smallest common multiple of 42 and o.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzheenhuznlneehhe. Give prob of sequence ul.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*r + 20 - 20 + 0*r + 2*r + r + (1 - 1 + 2)*(r - r + 2*r).\nAnswer: 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-6 - (7 - 11))) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872 divided by 178887.\nAnswer: 872\/178887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2837.6 - -14.\nAnswer: -2823.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:11 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 710*y**2 - 50*y**2 + 375*y**2.\nAnswer: 1023*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 8. Let m(l) = 15*l - 16. Let g(c) = -2*d(c) - m(c). Let h(b) = b - 10. Let i(p) = 2. Let z(u) = -2*h(u) - 10*i(u). Give g(z(k)).\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 36, 47, 58, 69, 80?\n\"Answer: 11*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 11*a + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*h + 2*s, 57 - 30 = 3*h - 3*s. Let j(b) = -20*b**2 + 62*b**2 + 1 - 2 + b. Let i be j(1). Calculate the highest common factor of i and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-4)*8\/(-6). Suppose 0 = -0*o - 3*o + q. What is the derivative of 0 + 58*y**2 - o - 39*y**2 wrt y?\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - (12\/(-14) + (-6888)\/196). Solve -3*k + 4*x + u = 0, -2*x - 1 = k + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-1 + 15 - (179 - 119)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**4 - 4795*u**2*v + 8*u**2 - v - 36890 wrt u.\nAnswer: -4*u**3 - 9590*u*v + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005202 to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9572*u**3 - 28*u + 2. Let s(o) = -4787*o**3 - 12*o + 1. What is 3*q(h) - 7*s(h)?\nAnswer: 4793*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 3*k**3 - 15 + 30 as o + v*k**3 + w*k**2 + b*k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/5, -2\/3, 3\/8, -0.4703, 5.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -0.04176\nAnswer: -3.92544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**2*o**2 - 6*f**2*o - 21*f*o**2 + f*o + 42*f + 182768*o**2 - 3916 wrt o.\nAnswer: 32*f**2 - 42*f + 365536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1043 - 377 - 325 - 338)*(3 - 3 - 2*m).\nAnswer: 4166*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 37\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 1152 = 2826. Solve -k*l = -120*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - g. Let l = g + 3. Let z = l + 0. Solve -20 = -b - 4*o, 3*b = -o - z*o + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223 - 175. Solve -5*b = 43 - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 5. Let w = -5 - i. Suppose -14 + 2 = -w*p. Solve j = -3*y - 2*j, 0 = -2*y - p*j - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y + 48 = 0. Let n = 19 - y. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -83*v**2. Let p(y) = 632*y - 169. Determine p(k(a)).\nAnswer: -52456*a**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {t: 1, j: 4, r: 3, b: 6, w: 5, y: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 12*o**2 - o - 9. Let w be k(-12). Suppose -5*c = 3*p - w*c - 7, 5*c + 17 = 4*p. Calculate the smallest common multiple of p and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1 + 9. What is the nearest to 2\/3 in k, 0.1, -0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 6. Let x(b) = 7*b - 7. Let z(y) = y**3 + 19*y**2 - 19*y + 24. Let m be z(-20). Give m*x(j) - 5*k(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 510. Suppose -1074 = -4*n + 5*w, 0 = -n + 5*w + g - 152. What are the prime factors of n?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)\/(sqrt(30)\/sqrt(48)) - (1*sqrt(512) + -4)) + -3)**2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-42)\/7)*(-2)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -8, -4, 0 in decreasing order.\nAnswer: 0.1, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/4 + -291\/52. What is the biggest value in 0.4, k, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*l + 657*l + 14 + 603*l.\nAnswer: -16*l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9. Let o = 133\/11 + -587\/44. What is the third biggest value in -0.4, o, -2, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 678.8278 + 1.1722. Put -5\/4, 1, s in increasing order.\nAnswer: -5\/4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 7*y - 22, 42*j + 33*j + 3*y + 18 = 72*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.33 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and -30589?\nAnswer: 30589.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 208726 divided by -238?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 429*y**2\/2 - 140*y - 311. Differentiate z(w) wrt w.\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, -1\/2, -3.03 in descending order.\nAnswer: 3, -0.1, -1\/2, -3.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14123*j**2 + 14119*j**2 - 71*j**3 + 14*j**3.\nAnswer: -57*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -16.\nAnswer: 23\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - (-5 + -8 + 21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 38 - 47 + 4*j + 2*j. Determine a(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004052388 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2510 divided by 8\nAnswer: -1255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 10*g + 17. Calculate v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 109*x**2 - 26288*x**3 - 4*x + 3*x - 109*x**2 - 10 + 26286*x**3 in the form p*x**2 + s*x**3 + k*x + h*x**4 + f and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81\/5 - 16. Let t = -1141 - -1142. Sort -2\/3, c, t, 9.\nAnswer: -2\/3, c, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a = 126*a - 5*r - 25, -a - 55 = 5*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000333619829 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:19 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 33 - 4 = 4*s, 0 = -3*m - 15. Let a = 2 + s. Is 16\/3*1*a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((d*d\/d**(-14\/5)*d)\/d)\/d)\/d)\/d)\/(d*d**23))\/(d*(d\/(d*d*(d\/(d*d**(-2\/15)))\/d*d))\/d*(d\/(d**(-2\/31)*d))\/d) assuming d is positive.\nAnswer: d**(-9361\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 85.00085. Round b to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13843, 2, 1, -2\/7 in decreasing order.\nAnswer: 2, 1, -2\/7, -13843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71138394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + 13\/3. Let j be t\/(-2) - (-2)\/4. Calculate the least common multiple of 7 and (-3 - 1\/1)\/j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3864 by 184.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4759, -19649, -44673, -79831, -125123, -180549?\nAnswer: -246109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 3. Let w = -48.1 + q. Let r = 2.5 + w. What is the nearest to r in -0.5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000101011 (base 2) in base 3?\nAnswer: -11021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**10\/5040 - g**6\/360 + g**3\/3 - 4. Let z(m) be the third derivative of h(m). What is the third derivative of z(o) wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 12. Suppose -2*s - 164 + 528 = 0. Let g be 2\/(-3) + s\/21. What is the units digit of k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7781, 6238, 4695, 3152?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1510140144 - 0?\nAnswer: 1510140144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*j + 3 = 0, 0*k = 4*k - 2*j + 6. Let y = -39336\/5 - -7868. What is the smallest value in -7\/4, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 at least as big as -25685696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (3 - 6) - (-27)\/(-3). Let v(m) = 9*m**2 - 11*m + 2. Suppose r - 12 = 1. Let y(z) = 19*z**2 - 23*z + 4. Let p(n) = j*y(n) + r*v(n). Solve p(h) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806.638217 + 60.\nAnswer: 866.638217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17156 + 9642. Let a = 13463 + y. Let i(z) = -5949 + a - 6*z. Let q(w) = 10*w. Calculate q(i(m)).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r**2 + 26*r - 26. Let p(c) = -c**3 + 8*c**2 - 2*c + 3. What is the smallest common multiple of p(7) and w(1)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3687\/2 + -1843. Let k = 1.98 + 0.02. Which is the second smallest value? (a) y (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -104881943006.3?\nAnswer: -104881943010.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**3 - 20*j**2 + 7*j + 1. Let l(q) = 10*q**3 + 10*q**2 - 3*q. Let n(a) = -3*f(a) - 7*l(a). Let c be n(-3). Solve 16 = -c*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/7 (b) 9 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17492648 and 7144?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 592900.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 - 2*k**2 + 2*k**2)*(-1 + 3 + 26)*(-2 + 1 - 1) as q + n*k**2 + a*k + o*k**3 and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16\/7 - -209\/70. What is the common denominator of 9\/16 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y**2 - y - 1. Let f(j) = j**2 + 33*j + 56. Let c be f(-29). Let x = -49 - c. Calculate the remainder when s(-1) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.027 and 93?\nAnswer: 2.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 32. 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: Which is smaller: -2\/497183 or 0?\nAnswer: -2\/497183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*r - 8, -r + 5*f + 3 - 1 = 0. Let z be (-2 + 6)*(-29)\/4. What is the tens digit of z\/(-3) - r\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 12*r - 6. Let g be l(-8). Let f be 1\/((-27)\/7794) - 8\/6. Let p = -251 - f. What is the greatest common factor of g and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -492*r - 764*r + 1255*r. Let k(h) = -2*h**3 - 3*h**2 - 11*h. Calculate k(n) - 2*u(n).\nAnswer: -2*n**3 - 3*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -9*y**5\/20 + 11*y**3\/3 + 6*y - 1. Let k(b) be the first derivative of r(b). Find the second derivative of k(a) wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, -2\/3, -0.2, 0.1, 37, 0.5 in increasing order.\nAnswer: -346, -2\/3, -0.2, 0.1, 0.5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -q - 0, -5*r + 2*q = -6. Suppose r = 2*a - 5*n - 7, -6*n - 1 = a - 4*n. Which is smaller: 2\/9 or a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33953623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 53*u**5\/30 + u**4\/24 - 37*u**3\/6 - 106*u**2. Find the first derivative of h(v) wrt v.\nAnswer: 212*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -83*m**2 - 2*m + 3. Let n(z) = -14*z**2 - z. Let x(s) = -6*n(s) + w(s). Let p(f) = -2*f**2 - 5*f - 4. Determine 3*p(v) + 4*x(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3.5. What is the nearest to 1 in n, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -105, -116, -127?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-23 - (-72 - -41)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 c when four letters picked without replacement from cjjjjjjjcjjjjjcj?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1058.37 centimeters to millimeters.\nAnswer: 10583.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 2453*j**8\/336 - j**5\/15 - 67*j**4\/8 + 8*j**2 - 7*j. What is the third derivative of n(m) wrt m?\nAnswer: 147180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(16\/24)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -f + l, -227*l + 8 = -f - 225*l + 33 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761095 by -539.\nAnswer: 761095\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = m, -96 + 101 = k - 2*m. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + -2 - sqrt(3)*1*2)**2 + 4.\nAnswer: 16*sqrt(3) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*q - 0*j + 42495, -3*q + 2*j = -25507. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4322*b - 4903*b = 23240 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*n - 20 = 0, -2*j + j - 12 = 4*n. Suppose 6*t - 2*t - 32 = -4*b, -b = -j*t + 57. What is the highest common factor of 104 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000134829 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73911 is divided by 36954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16 and 71\/350.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 2*u**3 - u**3 + (3*u - 2*u - 2*u)*(0*u - u**2 + 0*u) + (-12*u + 12*u + 8*u)*(-2 + 2 - 2*u**2) as k*u + n*u**3 + y*u**2 + l and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*n + 25, -z - 2*n = -3*n - 3. Let i be (-3)\/(-3) + 714\/(-245). Let f = i + 12\/7. Is f < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101111101001111011?\nAnswer: 101111101001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 - 121.0000153. Round n to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29533897 to the nearest 10000.\nAnswer: -29530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**8\/2184 - 2*f**7\/1365 - f**6\/780 + f**2 - 7*f. Let x(y) be the first derivative of a(y). Factor x(r).\nAnswer: -2*r**3*(r + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-19)\/1824*-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 20*v**2 - 18*v - 2. Is g(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 80, 115, 148?\n\"Answer: -q**2 + 40*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85\/11 (b) -126 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 42, 164, -5.\nAnswer: -62, -5, 42, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61225235 - 1?\nAnswer: -61225236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84363883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) -33 (b) 13 (c) -4 (d) 6 (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {i: 9, b: 2, z: 8}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**4 + 888*r**3 + 3987*r**2 + 3648*r - 1692 = 0?\nAnswer: -94, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-117))\/(2033\/18297).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -115*y + 5. Let i be o(7). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a century in months?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -q + 9, -2*v = -5*q + 3*q + 6. Solve v*f + 6 = 3*a, 5*f - 2*a + 6 = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.539791 to 1 dp.\nAnswer: 210.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01248 * 1.\nAnswer: 0.01248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71774 by 138.\nAnswer: 35887\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 33. Let z = 20 + h. Put z, -1\/7, -3\/8 in increasing order.\nAnswer: -3\/8, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*a + 23, 2*m + 3*a = -2*a - 11. What is the derivative of -m + 2*g + 4 - 6 + 1 wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 271317*f**2*r + 40771370*f**2 + 100*f*r wrt r.\nAnswer: 271317*f**2 + 100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:48 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -6\/55, 2\/13 in ascending order.\nAnswer: -6\/55, 2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from gdfssssdfdse?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 2*z = -52*j - 26, -3*j - 9*z - 93 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Suppose 0*a - b = -a. Let y = a + -2. Solve 4*d - 16 = -2*k, k + 12 = y*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318215.07999996 + 318214.9. Let y = i + 0.18. Round y to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 108*n + 4. Let w be z(3). Let k be w\/(-6)*21\/14. Let q be k\/(-7) - (-10)\/35. What is the highest common divisor of 96 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b7 (base 12) to base 11.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27117, -54273, -81473, -108717, -136005, -163337, -190713?\n\"Answer: -22*j**2 - 27090*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -1, 630 in descending order.\nAnswer: 630, 102, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69788 divided by 73.\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199027 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 3*f**2 + 2*f - 1. Give g(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 134, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**6 - 13302*p**3 - 48659*p**2 - 2*p wrt p?\nAnswer: -960*p**3 - 79812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(8\/4)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422910 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.84 + 0.84. Which is the closest to 1? (a) x (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b - 236 - 1279 = -44*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171, 172, 183, 204, 235, 276?\n\"Answer: 5*m**2 - 14*m + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3096*k**2 + 5287*k**2 + 188 - 121 - 67.\nAnswer: 8383*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28.409616us?\nAnswer: 0.0000004734936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from {i: 1, k: 1, t: 1, p: 4, u: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 204858 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/((-3)\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(40)\/sqrt(4) + (sqrt(120) - sqrt(120)*2)\/sqrt(12))\/((sqrt(125) + -1*(-2*sqrt(125) - sqrt(125)))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c - 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.6 and -0.186.\nAnswer: -14.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 107?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(-168*m**3 + 1023*m**3 + 282*m**3) + (-1 + 1 + m**4)*(1 + 1 - 4).\nAnswer: -1139*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than 2341824?\nAnswer: 2341824.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2782 and 2574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793 and 6264700?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*s - 91. Let f = 42 + s. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55502455 (base 7) to base 11\nAnswer: -278253a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15619117*v. Let a(x) = -24*x. Determine o(a(t)).\nAnswer: -374858808*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 + -6 + 11. Suppose 5*v - 5*a - 2740 = 0, 3*a = s*v - 2155 - 37. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-5 + 7 - 5*i + 6*i).\nAnswer: -4*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:33 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 8 = 3*x. Let j(f) = f + 5. Let y(v) be the second derivative of 3*v**2 - 5*v**2 - v**2 + 2*v**2 + v. Give x*j(t) + 4*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:10 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1000 and 24.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 468066611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 21*j + 14. Suppose 58 + 82 = 7*n. Let g be a(n). Let v(t) = -4*t - 7. What is the remainder when 63 is divided by v(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 374, 714, 1054, 1394, 1734?\n\"Answer: 340*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43\/((-45)\/30 + (-86)\/(-56)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255 - 252 + q + 505)*(-5 - 1 - 4).\nAnswer: -10*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1214 + 3?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 24. Suppose -8*h - s*h = -4*h. Suppose h = -2*d - n + 334, -d + 181 = -5*n + 9*n. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**5\/20 + 15*b**4\/16 + 3*b**3\/4 - 27*b**2\/8 + 249. Suppose j(k) = 0. What is k?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**1)**31)**(-7\/12))**(-1\/29))**(-7\/3) assuming l is positive.\nAnswer: l**(-1519\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 64 = 0. Suppose -3*j + 7*j - z = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-20)*12\/(2\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-172 - 209 - 701)*(3 - 1 - 3)*(2*x - 6 + 1 + 2) as m*x + c and give m.\nAnswer: 2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 102*q - 21. Let g(p) = 23*p - 5. Let u(d) = -18*g(d) + 4*s(d). Suppose -2*w + 2 - 20 = 0. Is u(w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2796 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -102500.\nAnswer: 1\/25625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816350?\nAnswer: 2, 3, 5, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*r**2 - 30*r**2 - 43*r**2)*(17*r**2 - 6*r**2 + 5*r**2) in the form z + n*r**2 + f*r**3 + g*r + l*r**4 and give l.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from pchchhphhhh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h**2*z**3 + 13*h**2*z**2 - h*z**3 + 97*z**3 + 20*z**2 wrt h.\nAnswer: 20*h*z**3 + 26*h*z**2 - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 993 - -3673. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 2:34 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 134471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2546.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 7, 11, 0.3, 83, -26 in decreasing order.\nAnswer: 83, 11, 7, 0.3, 2\/13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 3) + -1 - (-6 - -7)) + -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:06 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25097 or 2809?\nAnswer: 2809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 20. Solve -z - 5*f = 0, 3*z + c - 30 = 3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/21 - 4\/(-14). Let j(p) = 39*p**3 + 2*p - 1. Let r be j(h). Let g = -2147 + 2155. What is the greatest common factor of g and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**4\/24 - 5*b**2. Let d(l) = -l. Let s(n) = -5*c(n) + 6*d(n). Let z(w) = -w**2. Determine s(z(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1682*m**3 - 3393*m**2 + 465*m\/8 - 1\/4.\nAnswer: (m - 2)*(116*m - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*b + b + 330, b + 11281093 = 11281032 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - l + 118 = -0*r, 0 = 3*r + 4*l + 113. Let w = -17 - r. Suppose 0 = -o - 4*j, 4*o = 3*j + 11 + 46. What is the remainder when w is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21392.71 weeks?\nAnswer: 12938311008000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 974*w - 9. Suppose 3 = o - 2*b, -2*o + o + 3 = -5*b. Is z(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 51*u + 55*u + 16 = 0, -5*b - 33*u - 109 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1452469nm to centimeters.\nAnswer: 0.00000001452469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -263?\nAnswer: 262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77104.\nAnswer: 2, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 339*c**2 + 20*c + 53. Is a(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29839194.\nAnswer: 2, 3, 7, 11, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.1 (c) 0.8 (d) 774.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 405489630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 738 + 98 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 39. Suppose 5*q - 15 = o. Suppose -s = 5*u - 36, -3*s - q*u = -u - 64. Calculate the remainder when 94 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 24. Suppose 0 = -3*i + 5*z + 30, -i + 40 = 3*i - 5*z. Let v be y(i). Let r = -3 + v. Round r to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2 + 0 + p**3 - 8*p + 7*p. Suppose 6*y + 15 - 15 = 0. Determine t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7) + 1 + 8 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/3 - 194300*r**2\/3 + 4719061250*r\/3 = 0.\nAnswer: 0, 48575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - s - 53 = 0, 4*c - s - 382 = -4*s - 475 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-5)\/3)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:04 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(sqrt(171)*1)**2.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-3)\/((-6)\/(-4)))\/(3\/(-27)) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*5\/120)\/((9\/285)\/((-90)\/(-75))).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -22*f**2 - 7681*f - 23880. Determine g(-346).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180491 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.2 + -1.2. Let i = u + -4.9. Let d = -2 - -1. Which is the second smallest value? (a) 0.2 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-4)\/(-2) + -2. Let d(t) = t - 4. Let w be d(l). Factor -4*f**3 + 2*f**5 + 3*f**3 - 3*f**3 + w*f**3.\nAnswer: 2*f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 330\/4 + (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100218131\/5 greater than -20043627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267.306356 rounded to 1 dp?\nAnswer: -1267.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3773066 divided by 1034.\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 - 4*b - 1. Determine g(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 280501 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*v + 234, -2*a - 41 = -2*v - 153. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 48 = -5*k. Suppose -v = 3*v + k. Let z be 1\/5 + v\/45*3. Solve -q + 0*q = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245) - sqrt(245))**2 + -1 + (2 + sqrt(245) + 0 - sqrt(245)) + (sqrt(245)*2 + 2 + -3)**2.\nAnswer: -28*sqrt(5) + 1962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178868098?\nAnswer: 2, 5119, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - -8.87. Let k = 17 - o. What is the smallest value in -0.4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2580 and 150.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 3*r + 2. Let j(m) = -m**3 + 6*m**2 - 7*m. Let q be j(4). Suppose u - 6 = -q*a, 6*a - u = 4*a. Let n(s) = s - 1. Give a*n(l) + v(l).\nAnswer: 3*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 7*g**3\/3 + 285. Let y(l) = 52*l. Give y(r(k)).\nAnswer: 364*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + (-6)\/21. Let a = 31 - 83. Let v = -49 - a. Sort v, 5, -2, b.\nAnswer: -2, b, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -394. Let n = -284.711 + q. Let c = 0.526 - n. What is c rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - 9 - 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 198. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-45)\/70))\/((12\/36)\/(63\/(-168))).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*0\/(-9). Suppose 0*c + 3*c = 4*i + 24, n = -4*c - i + 32. Calculate the greatest common divisor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*s + 51*s - 32*s)*((-2 + 4 - 4)*(0 - 1 + 0) + 1 - 4 + 2 + 4 - 3 + 0).\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4465265300 to the power of 1\/3, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2. Let f(c) be the first derivative of -947*c**3\/3 + 602. Give h(f(o)).\nAnswer: -1793618*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000001100011 (base 2) in base 6?\nAnswer: 102215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-15)*(-5 - -2). Let y be (0 - (2 + l)) + 5. Let k(n) = 5*n**2 + 3. Let v(q) = 6*q**2 + q + 4. Let w(i) = -5*k(i) + 4*v(i). What is w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + n + 1 - 1 + n + (2*n - 1 + 1)*(-1 + 4 - 1))*(-4 + 0 - 2).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let o(p) be the second derivative of -11*p**5\/60 - 4*p**2 - 3*p. Let v(z) be the first derivative of o(z). Give v(l(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*-2*(-24)\/54?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 803328 and 43008?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 2 (c) -28 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.71203 plus -24902.1?\nAnswer: -24948.81203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) + 23\/(-7). What is the remainder when -20*12\/9*l is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**2 - 14*h**2 + 0*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllhhhhkhfilhhflhhhh. Give prob of sequence ilk.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -177\/31 (b) -0.078 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*b + 3 + 0*b)*(9 - 9 + 6*b**3) + (3*b**4 - 6*b**4 + 2*b**4)*(1 - 2 - 1).\nAnswer: -16*b**4 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80807676 divided by 800076\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.62135 days?\nAnswer: 19614.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 1355 + 1179 + 452)*(3*h**2 - 2*h + 4*h - h**2).\nAnswer: 6442*h**2 + 6442*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 7*x**2 - 14*x + 310. Let s(a) = a**3 - 2*a**2 - 4*a + 103. What is 14*s(w) - 4*z(w)?\nAnswer: 2*w**3 + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*d - 2388 - 1552, 3*z - 1593 = -2*d. Let c = -243 + d. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 21*b = -12. Let z(g) = g + 1. Let k be z(-1). Let h be b*(k - (-8)\/6). Solve -2*l + h*c = l + 7, 0 = 4*c - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 7. Let s be m(5). Let i = -109 + 461. Calculate the remainder when i\/11 + (s - 1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and 360.26955.\nAnswer: 348.26955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/66)\/(12\/(-22)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzzzzzzzzzy. What is prob of picking 1 y and 1 z?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-11143 + 11143 + 333*d) - 16*d - 10*d - d.\nAnswer: 639*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12331 - 1311?\nAnswer: -20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(6 - 9*u - 6) + (-3*u + 2*u - u)*(-2 - 3 + 4) to the form f + q*u and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 106932629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4864 is divided by 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/12896 and 33\/28?\nAnswer: 90272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1248\/5 + -7213\/30. What is the common denominator of -115\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 8*i - 6*i + 23*i - 17*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 - 4\/(-6). Let i = 6.877 - 6.777. Which is the biggest value? (a) p (b) 2\/45 (c) i (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -407 - -717. Suppose -x - 2*x = k - m, 4*k + 125 = x. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 84. Suppose 0 = -3*q - 37 + 88. Suppose 2*b = 5*b + 4*y + 3, 0 = b - 4*y + q. Put -4, p, b in descending order.\nAnswer: p, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 - -0.078117.\nAnswer: 347.078117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1340)\/(-45) - 2\/(-9). Suppose 5*b + q = 5*s, -5*b = 5*s - s + 21. Suppose 163 + 107 = 54*g. Sort s, 4, g in ascending order.\nAnswer: s, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/(-6313) - (-46645)\/1301120?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + -71e?\nAnswer: -6e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12368.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10*3\/(-12))\/(1\/2). Suppose i*d + 8 = 28. Suppose -381 = -7*z + d*z. What are the prime factors of z?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2\/(-1) + 6. Let x be (1 - (5 - a)) + -3 - -147. Calculate the greatest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 - 3*f**2 + 37*f - 35. What is j(-8)?\nAnswer: -2571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369073 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**5\/60 + 5*s**4\/24 + s**3\/6 - 15*s**2 + 5. Let q(f) be the second derivative of x(f). Give q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, -41, -149, -289, -455, -641, -841?\n\"Answer: g**3 - 25*g**2 - 2*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*x + 2*x = -6, 4*h + 3*x = 23. Let w = h + -2. Let c be 6\/9 - (-44)\/6. Solve -w*l = -c*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 25 - (-4 + -35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(35)\/sqrt(5)))**2.\nAnswer: -96*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - v**3 + 6*v**3)*(7*v - 50 + 50) - 5*v**4 + 2*v**4 + 2*v**4 + (-2*v + 3*v + 0*v)*(6*v**3 - 2*v**3 - 2*v**3).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.401 + 9.832. Round l to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2478 + 0 + 0)*147\/(-98). Let g = -6 - -16. Suppose g*r - r - a = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154785, -154789, -154797, -154809, -154825, -154845, -154869?\n\"Answer: -2*m**2 + 2*m - 154785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 39294*k - 1141208 = 0. Calculate k.\nAnswer: -19676, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684645 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 + 2*b - 6. Let c be v(5). What is the derivative of 3 - u**3 + c*u**3 + 1 - 2 wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 - 7*s + 2. Let n be y(7). Suppose -p = -n*p + 2. What is the third derivative of g**6 + 2*g**6 - 6*g**p + 0*g**6 + 3*g**2 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 + 316 + 3*s**3 - 316.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1743500 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -21 + 35 + -19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2656 + -677?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/5 - 11433*p**2\/5 - 1560204*p\/5 - 17074368\/5 = 0. What is p?\nAnswer: -123, -12, 11568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -94157060+-26\nAnswer: -94157086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 5. Let v(b) = -5*b + 25. Let m be v(4). Sort w, 7, m in ascending order.\nAnswer: w, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6118 times 0.2\nAnswer: 1223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from pgogogspco.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cagvgcgbaagbag. What is prob of sequence vbc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 58.49635 millimeters?\nAnswer: 58496350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -44*n - 47. Let h(r) = -15*r - 16. Let t(y) = -8*h(y) + 3*l(y). Let x(u) = -2*u - 6. Let o be x(-2). Let i be t(o). Is -1\/2 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/121 and -125\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25*o + 93. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(104) - sqrt(104)) - -1*3*sqrt(104))\/(sqrt(8) + 1*sqrt(968) - sqrt(8) - -1*sqrt(392)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 7*a - 8. Suppose x = -4 - 2. Let g(w) = -w**2 - 6*w + 7. Let m be (5\/(-4))\/(((-49)\/28)\/(-7)). What is m*h(y) + x*g(y)?\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-264))\/(((-28)\/(-1890)*10)\/((-2)\/(-18))).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 22)*(2*p**2 + 4 - 4).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -19*c + 0 + 0*c**2 - 11\/6*c**3. Let p(m) = m**2. Give f(p(w)).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 10:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/4 - 28253*s**3\/2 + 715079389*s**2\/4 + 587327743215*s + 432147388304025 = 0.\nAnswer: -1402, 29655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 350*t + 11. Let x be q(2). Calculate the highest common divisor of x and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 1. Let o be ((-3)\/(-2))\/(9\/(-24)). Let z = 0 - o. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 424224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/6))**(-2\/21))**(-28) assuming m is positive.\nAnswer: m**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**1)**(-25)*(c**(1\/6))**(-6) assuming c is positive.\nAnswer: c**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130482 + -5?\nAnswer: -130487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 2*n - 2. Suppose 4*m = -0*m + 16. Let k be h(m). Let f = 41 + k. Calculate the remainder when f is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 9*y + 2*t, 3*y - 3 + 12 = 2*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from {c: 6, y: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*y + 19*y + 324 = -4772 - 6424 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3571407ng to kilograms.\nAnswer: 0.0000000000003571407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w + 80. Let p(o) = 17*o + 120. Let y(v) = -8*k(v) + 5*p(v). Let j(x) = x + 13. Let n(b) = 17*j(b) + 6*y(b). Give n(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = n + 131, 2*n = -b + 36 + 98. What is the second derivative of -2 + 3 + 14*r**3 - 10*r**2 + 9 + b*r**2 - 12*r**3 - 2*r wrt r?\nAnswer: 12*r + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/882 and -51\/17398234.\nAnswer: 156584106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -2\/5, -3\/92, -2, -1\/6, 5.4?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291 smaller than 6525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7038 and 73452087.\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 4794920.\nAnswer: -19\/2397460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 43 = 61. Is 13 a factor of (g + -4)\/((-8)\/(-504))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-3 + 3)) + 8. Suppose -v = -2*f + 2*y, -5*f = 3*y - 57 - 5. Solve 2*k + 0 - f = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-46))\/(66*(-1336)\/(-5511))?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -49*j + 45*j - 4*h, 1 = h. Solve j*z + 2 = 6*z + 4*p, -4*z + 10 = p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 + (-3 - (1 + 60)))) + (-67 - -57)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6118 at most -6118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300.163 millimeters to kilometers.\nAnswer: 0.002300163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 59 = -5*u, -4*u - 104 = 2*z + z. Let t(p) = -p + 8. What is the smallest common multiple of t(z) and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + -7 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 110032?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 4*z**2 - z + 7. Let g be c(3). Suppose -29 - g = -3*m. Suppose 3*f + x - 59 = m, 0 = -f + 4*x + 46. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2816887 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75) + 5 - (sqrt(75) + -3 + sqrt(75) + sqrt(75))*-4)**2 - (2*((sqrt(75) + 1 - sqrt(75)) + 3)*-1)**2.\nAnswer: -1050*sqrt(3) + 16860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 13 + 183*g**2 + 8 - 15 + 35 - 2*g**3.\nAnswer: -2*g**3 + 183*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1\/3, 892, 1, 0 in decreasing order.\nAnswer: 892, 1, 1\/3, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -159.7 and -25107?\nAnswer: 4009587.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * -4092\nAnswer: 1718.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -61, 3 in increasing order.\nAnswer: -61, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2 - (-2 + 2 + -13). Suppose f*o + 4*o = 30. Suppose o*u = 3*w + 28 - 257, 2*w + 4*u - 142 = 0. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15691997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -826 (b) -4\/5 (c) -1\/2576 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**(-12)*r))*r**(-1\/2))**(-25\/4)\/((r*r\/r**(-2))**(-1\/67)*r\/r**6*r\/(r*r**(-2\/5)*r*r)) assuming r is positive.\nAnswer: r**(227223\/2680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2894, -5825, -8744, -11645, -14522, -17369?\nAnswer: -20180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1736 and 2816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-10) + ((-40)\/25)\/(-8). Solve a*g + 3*q + 5 = 2*q, -5*g = -4*q - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 2, -2*i - 8 = -2*p. Solve -s + 3*s - 2*q = -p, 0 = -5*s + q + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162699\/5 or -32541?\nAnswer: -162699\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4477767463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15*i - 2466 = -12*i, 12 = 4*i. Suppose -2*n - 3*n + t = -825, 0 = 3*n - 5*t - d. List the prime factors of n.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 12, -3, -2, -1.\nAnswer: -8, -3, -2, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34031506 + 321?\nAnswer: 34032130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(35\/6)*5. Calculate the remainder when (3 - 5)*105\/f is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 636.5 and 82.412.\nAnswer: 52455.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/2 + c. Let g(h) = h. Calculate 2*g(t) + p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143922073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 15 + (6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10454 + 10530. Calculate the least common multiple of x and 44.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -10013.266724.\nAnswer: -10013.666724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.18703824 <= 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15095237197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(52) - sqrt(78)\/sqrt(6)*2 - (sqrt(117) + 3 + 0 - sqrt(117)).\nAnswer: -10*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/66 and -43\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**3 - 39*d**2 - 120*d - 72. Let l(w) = -w**3 + 5*w**2 + 15*w + 9. Let n(y) = -6*f(y) - 51*l(y). Factor n(x).\nAnswer: -3*(x + 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, -55, -255, -569, -997, -1539?\n\"Answer: -57*t**2 + 85*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*7\/(735\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15831 - 11080. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28981 or -1825834\/63?\nAnswer: -1825834\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8 = 2*g. Let y be 5\/g + 1\/2. Suppose -2*o + y*o = 30. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.02 (b) 2\/11 (c) -3.29 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 26021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = l, 0 = 5*z - 2*l + 1. Suppose -3*x = -6, -2*x = -i + 3*x + z. Let g = i - 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1*-3 - (sqrt(21) - sqrt(105)\/sqrt(5)*-1))\/(-4*-1*sqrt(567)).\nAnswer: -5*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 49. Let b be x(-8). What is the common denominator of -2 + (289\/(-12))\/b and -133\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*w + 219*i - 14810*w**4 + 463 with respect to w.\nAnswer: 5*i - 59240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let g(h) = -4*h + 2. Let i be g(p). Let x be 14*(-3 + 33\/i). What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2608 - 1913. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4 + 44. Find the common denominator of -89\/22 and ((-6)\/g)\/(72\/664).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - -52) + (38 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-116 + 85) - (-3 + -110) - (-1 + 15)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 17. Let d(z) = z - 9. Let g(o) = 2*b(o) + 5*d(o). Let a = 1805 + -1827. Let n(t) = 1. Calculate a*n(h) - 2*g(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3056 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 16608.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5 - 3. Suppose 2*a = -a - y*v + 27, a + 3*v = 2. What is the common denominator of 79\/2 and a*28\/(-24) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24841747.\nAnswer: 7, 311, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/5 + -1\/10. Let n = -91.5 - -91. Let j = -33\/4 + 173\/20. Sort j, n, d.\nAnswer: n, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c + 34. Let h(p) = 5*p - 11. Let u(y) = -8*h(y) - 3*i(y). Is u(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*i - 7, i + o - 7 = -4*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/2 (b) -2 (c) 162\/13 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Suppose -j = b*j - 6. Let w = j + 11. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 83430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/5))**(-13\/4) assuming u is positive.\nAnswer: u**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -138271 (base 13) to base 8\nAnswer: -1637546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 0*t - 200 + t + 355 - 156. Let k(p) = -35*p**2 + 2. Give r(k(y)).\nAnswer: 70*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 248107.\nAnswer: -1\/248107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-28))\/(-1)*12\/15)\/((-952)\/4165)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/5 (b) -51 (c) -71.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469750859*l**2 - 258120090.\nAnswer: 939501718*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76750142*r**3 - 5*r**2 + 6*r + 93859 wrt r?\nAnswer: 460500852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511844?\nAnswer: 2, 3, 17, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2516, -2514, -2512, -2510, -2508, -2506?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-27)\/q))**(-2\/153) assuming q is positive.\nAnswer: q**(-56\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*v + 5, 4*g - 5*v - 459 = 0. Let r = g - 607\/5. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**4 - 4*g**4 - 2*g**4 + (8 - 9 - 6)*(4*g**4 - 2*g**4 - g**4) - 99*g**4 + 45*g**4 - 77*g**4 to r + b*g**4 + v*g**3 + q*g**2 + p*g and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -876634*i**4 - 1044317*i wrt i?\nAnswer: -10519608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1, -11, 382 in descending order.\nAnswer: 382, 23, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4) + (-2*sqrt(484) - sqrt(484))))**2.\nAnswer: 13\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2696 or -121397?\nAnswer: -2696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948837?\nAnswer: 197, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 381*(-2)\/(-6) + 16 + -11. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + -1))*4 + (sqrt(343) - ((sqrt(343) + 0)*-1 + sqrt(343))))*4)**2 - (1*sqrt(343) + -4 + 0 + sqrt(343) + 2).\nAnswer: 882*sqrt(7) + 5746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -788 + 807. Sort -0.5, o, -0.43.\nAnswer: -0.5, -0.43, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9747*h**3\/2 - 14934*h**2 - 51520*h\/3 - 12800\/3.\nAnswer: (h - 4)*(171*h + 80)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 180155 divided by 137?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -12*s - 12 = -3*j - 8*s, 4*s = 0. Suppose -j*i + 158 = -y*i. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-10 - -9 - -8 - (1 - -8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 1375*b + 63933. Give l(-45).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*z = -14, 0 = 2*h + h + 5*z - 34. Let q = h + -71. Does 14 divide q\/(-5) + (-6)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 3*a - 10. Suppose 0 = c + 3 - a. What is the common denominator of -5*(c - ((-132)\/(-27))\/(-2)) and 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1400.049ug?\nAnswer: 1.400049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = -3*s, -6 = -5*p + 2*s - 4*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4226000 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 6*p + 177 - 9*p)*(0*p**2 - p**2 - p**2)*(-2*p + 1 - 1 - 1).\nAnswer: 8*p**4 + 712*p**3 + 354*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(4\/(16\/(-4))). Let t(l) be the first derivative of 0*l**3 + 1\/4*l**4 - 2 + z*l + 1\/2*l**2. What is the second derivative of t(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 462*x + 32528. What is d(-86)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + x + 89 = 363, 3*n - 5*x = 854. Suppose k + n = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2458 + -272?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17281 divided by -1571\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121853 is divided by 600.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, 6.\nAnswer: -4, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:35 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 1125.\nAnswer: 7\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + q + 57 + 96, 3*q + 149 = 5*n. Suppose -4*k - 2*v + 0*v + 44 = 0, -3*k = 2*v - n. Let p = 12 + k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Let n = 75 + -185. Let r be 2\/11 + 20\/n. Solve 3*v - 17 = -4*d - r*d, y = 3*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1493565*d**2 + d - 1. Let b be i(3). Suppose -13686757 = -3*q + b. Suppose -15257052 = -3*x + q. What is x rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 - (142 - (126 + 119))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 307.\nAnswer: -3\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - o - 3 + 12 = 0, -5*o = 2*q - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174343536 divided by 21792942?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 - 1. Let d(x) = 17*x**2 - x + 4. Calculate -2*d(z) - 9*n(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1958 (base 13) to base 10.\nAnswer: -3791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, 0*q - 2*q - 270 = -4*i. Let w = -989\/7 - q. Let u be (4\/(-6))\/(4\/18). Sort w, u, 0.2, -0.3 in ascending order.\nAnswer: u, -0.3, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 4 = v + 2*i, 1 = -4*v - 3*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 9*c**5 + 11991*c**4 + 499827*c**3 - 3710391*c**2 + 7468344*c - 3480300 = 0.\nAnswer: -1289, -50, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)\/((-5)\/5). Suppose 2*g + 42 = -o*g - 5*c, -3*c = 4*g + 98. Let a = g - -103\/4. What is the second smallest value in a, 4, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2392 and 10908716.\nAnswer: 21817432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*(n\/n**(-1))\/n)\/(n**(-5\/2)*n**(-2\/15))*n*n**(-2\/5)*n\/n**6*(n\/(n**(2\/7)*n))\/n**3 assuming n is positive.\nAnswer: n**(409\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 17*w + 6. Let l = -30 + 57. Calculate the remainder when s(-6) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -604, -545, -470, -373?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18626182973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 174 - 1299 + p**2 - 3*p - p as u + g*p + z*p**2 and give u.\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 9*h**2 + 12. Let w(a) = a - 1. Let b(n) = 2*w(n) + y(n). Is b(-8) 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 3:05 AM and 2:14 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 - 19*u - 14. Let x be l(-8). What is the third derivative of 0*k**2 + 16*k**3 - 22*k**3 - x*k**3 + 52*k - 2*k**2 wrt k?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**2 + 13*l**2 - l**2 + (-1148 + 180*l + 1148)*(1 - 1 + 3*l)*(1 - 1 - 2) as f + m*l + q*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 19*d + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27762920, 55525832, 83288744, 111051656, 138814568, 166577480?\nAnswer: 194340392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 38*b + 40. Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0505649 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -33*j. Let q(w) = 9*w**2. Determine o(q(g)).\nAnswer: -297*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by 75\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34917 times 44?\nAnswer: -1536348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from effqqqqmeqqe.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + (-5 - 4) + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*j - 59*j - 2*j**2 + 80 + 116 + 52 - 338.\nAnswer: -2*(j + 1)*(j + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211049.8*5.\nAnswer: 1055249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 255, -4, 45.\nAnswer: -4, 44, 45, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295\/598 + 2\/299. Let w(u) be the second derivative of 2*u + a*u**2 + 0 + 0*u**3 + 1\/6*u**4. Differentiate w(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 9. Let c be l(-7). Let x be 50\/(-3)*24\/c. Suppose -4*t = -0*t - 3*a - x, 0 = -t - a + 13. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, l: 4}. Give prob of sequence aal.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.5546 meters to millimeters.\nAnswer: 467554.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713423 = 126*l + 722117 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64875631 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4471.\nAnswer: -4471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.054967 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 344*g**2 + 4. Let y(a) = -6*a. What is w(y(b))?\nAnswer: 12384*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 53*h**2 - 3*h - 270. What is g(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04127439079 rounded to five decimal places?\nAnswer: 0.04127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*k**2 - 45*k**2 - 40*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.1 - 1.9. Let g = -66 - s. Let w = -27.9828 - g. Round w to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75752116 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 216, 472, 832, 1302, 1888, 2596, 3432?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456950035222036 - -1403772441803807945585\/3072048. Let n = -38471\/74928 + z. Let r = n + 1\/1722. What is the common denominator of -9\/4 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 83717, -6.1 in descending order.\nAnswer: 83717, -1\/9, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 55*q - 240 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 96. Let j be n(-31). Let c be -1*(-3 + 0 + j). Solve -6*y + 5*y - 3 = c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.2 (c) -0.87 (d) 1\/2095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)\/(27\/(-189)). Suppose -30 = -i*c + 40. Let r be ((-4)\/(-6))\/(2\/3). Sort -5, c, r in ascending order.\nAnswer: -5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x + 4. Let k(r) = r**2 - 4. Let q(g) = 5*i(g) + 6*k(g). What is q(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (9 + -5 - 8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8937757mg in nanograms?\nAnswer: 893775.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*p = 1, 2*r - 8*p + 4*p + 2 = 0. Suppose 2*w + 12 = 3*w. Let s = -9 + w. Solve -2*h + f = r, -5*h = 4*f - s*f - 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43946, -43420, -42896, -42374, -41854, -41336?\nAnswer: -40820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 735.\nAnswer: 59\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28365, 56953, 85543, 114135, 142729?\n\"Answer: c**2 + 28585*c - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233473625 divided by 46694725.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(147) + -1) + sqrt(528)\/(sqrt(22)\/sqrt(2)) + -5)**2.\nAnswer: -832*sqrt(3) + 3241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j**1\/j))**6\/(((((j**4\/j)\/j*j)\/j)\/j)\/(j\/(j\/(j\/(j\/(j\/(j**(7\/5)\/j)))))))**15 assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 71 = -4*y + 94, -m + 7 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 - 2573104527489\nAnswer: -2573104527490.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-5401.\nAnswer: -16203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 60, 101, 158, 231, 320, 425?\n\"Answer: 8*r**2 + r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 29\/120*k**6 + 0*k + 0*k**4 + 0*k**3 - 41\/60*k**5 - 35*k**2 + 0. What is the third derivative of b(i) wrt i?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 236\/16 + (-1)\/(-4). Let u = -14 + g. What is the closest to 1 in 1\/2, 1\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(4\/9)\/j)*j*(j\/(j\/(j\/(j**(-1\/2)*j))))\/j*j*j**(6\/5)*j\/(j*j*j*j**(1\/10)) assuming j is positive.\nAnswer: j**(97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3146\/605*1\/(-2)*1*5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780734.8mm to kilometers.\nAnswer: 0.7807348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 9. Let k be z(6). Let g = 9 - k. Is -1 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3235*m**3 + 0*m**4 - 1587*m**3 - 4*m**4 - 1650*m**3 - 29*m + 4 as k*m**4 + u*m**3 + y + b*m**2 + t*m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/336 - y**7\/70 + y**6\/60 + y**5\/5 + y**4\/3 + 2351*y**2. Let l(b) = 0. What is b?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3611\/8 + -449. Let a = -319\/136 + y. Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 6*g, -s - 5*g - 118 = 0. Let h = s + 116. Solve 8 = 3*b + h*i - 2*i, 0 = -2*b + 2*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(300) + 2*sqrt(3)*3)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 845 + ((-442)\/26 - -36). Let o(r) be the first derivative of 43 + 62208*r + p*r**3 + 3\/5*r**5 + 10368*r**2 + 36*r**4. Find k such that o(k) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121*(34 - (-8904)\/(-264))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71800985*b**3*k**3 + 102*b**2*k**2 + 5*b*k**2 + 79*b*k - 24*k**3 wrt b?\nAnswer: -430805910*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006378916729 to seven dps.\nAnswer: 0.0006379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 26 + (-278 - -252)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3035 - 3035 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314118, 314114, 314110, 314112, 314126?\nAnswer: 314158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 2\/5, 0.13 in ascending order.\nAnswer: -123, 0.13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 437642103*t - 682003875?\nAnswer: 437642103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-609))\/(4\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158393 is divided by 401?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/w**(1\/8)*w*w**(-3\/4)\/w*w*w**(3\/5)*w*w*w*w\/w**(1\/2) assuming w is positive.\nAnswer: w**(289\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)\/r*r**(17\/4) assuming r is positive.\nAnswer: r**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from xvfxhfoww.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-48)*(-3)\/((-132)\/8)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.31. Let g be (6\/(-12))\/(9\/6). Let v = 1723\/7 - 246. What is the second biggest value in 2, g, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {c: 9, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 234. Let r = o - 93. Calculate the remainder when 89 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-294)*-7 + (-485)\/(-6). Suppose -6*m = -k - 819. What is the highest common factor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/((-6)\/2)*((-330)\/(-10))\/(-297)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.41573661 and -0.5.\nAnswer: 0.207868305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -57.42*-26\nAnswer: 1492.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 9:00 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:28 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5478 - -87601\/16. Calculate the common denominator of 14\/9 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/9 - 1)*(-57)\/(-38). Calculate the least common multiple of 92 and (40 - p) + 3 - -2.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y - 4*y - y)*(y + 2 - 2) + 4*y**2 - 6*y**2 + 3*y**2)*(-86 + 34 - 77).\nAnswer: 129*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(500) + 2 + 5 + 0.\nAnswer: -20*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -722*g. Let n(d) be the first derivative of 2*d**2 - 1949. Determine l(n(w)).\nAnswer: -2888*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 91 (b) 586\/379 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-1 + sqrt(5)*3)**2 + 4 + sqrt(5)*-4 + (sqrt(25)\/(sqrt(10)\/sqrt(2)) - (sqrt(40)\/sqrt(8))**2*-2).\nAnswer: -8*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -16*c + 970. What is the lowest common multiple of 6 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/6) - 5. Let x = 0.029 - -48.971. Let z = -46 + x. Is z smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, p: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 736\/28 - (4*(-78)\/84 + 4). Solve -c + 25 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -843 + 842.913. Is u equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 70.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63537147 + 63537148.10000108. Let d = 1.53 - 0.43. Let m = d - r. Round m to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.3. Let g be 6\/8 + 35\/(-36). Put g, -1\/4, h in increasing order.\nAnswer: -1\/4, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 784\/4*1\/4. Let d(a) = -i*a + 30*a + 20*a. Let w(t) = -2*t**2 + 3*t. Let v(p) = -6*p**2 + 8*p. Let r(u) = -3*v(u) + 8*w(u). Calculate d(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/554 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.27 + -0.03. Let x = 20 + -16. Let s = x - 6. Sort c, 0.02, s.\nAnswer: s, c, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/11)\/d*(((d*d*d**(-4\/11))\/d)\/d)\/d)**(-29\/5)*((d**(-2))**(-5\/6))**(-17) assuming d is positive.\nAnswer: d**(-500\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410164 and 135628.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -25*f**3 + 4*f**2 + 10*f + 1. Let m(n) = 2*n**3 - n**2 - n + 1. Let v(s) = -m(s) - y(s). Find the second derivative of v(p) wrt p.\nAnswer: 138*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 29*q - 12. Suppose -q*m - m = -20. Let r(n) = n**2 + 2*n + 6. Let p be r(0). Calculate the greatest common factor of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 + 14*x - 13. Let o be z(6). Let v(y) = -255*y**2 - 2*y - 1. Let q be v(3). Let k = q + 71368\/31. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-10))\/((-2772)\/13860)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 38*m**3 + 131*m**2 + 89*m - 28. Let z(w) = -9*w**3 + 2*w**2 - 2*w - 1. Let g(c) = -s(c) - 2*z(c). Factor g(l).\nAnswer: -5*(l + 1)*(l + 6)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b + 5*b)*(-8 + 8 + 20*b - 4*b + 2*b - 10*b + (0 + 2 - 3)*(b - 3 + 3)) to the form k + g*b + f*b**2 and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/42)\/(-14 - (219351\/(-476))\/33)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795893900.\nAnswer: 2, 5, 37, 293, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 922409664 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Suppose -6 = -m*n - 18. What are the prime factors of n\/(2*(-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*n**2 - 7*k**2*n*u**2 + 5*k**2*n*u + 23*k*m*n**2*u**2 - 9*k*m*n**2*u + k*n**2*u wrt u.\nAnswer: -14*k**2*n + 46*k*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 541, 804, 1067, 1330, 1593?\n\"Answer: 263*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11010101?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 34. Let x(t) = 7*t - 57. Let p(f) = 3*x(f) + 5*z(f). Let d(w) be the first derivative of 3*w**2\/2 - 2*w - 2. Determine -d(u) + 2*p(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-7)\/(-21)*-17)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6055*k = 6059*k, 4*q + 13 = 3*k + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3704295.\nAnswer: 3, 5, 7, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 729 = 9*i, 323 = -89835*i + 89831*i - t for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3623*s**2 + 5442*s wrt s?\nAnswer: 7246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*(0 - 0). Suppose -15 = -o*m - 5*m. What is the second derivative of 10*z**3 - z - z - 11*z**m wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581132 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/3)\/(4608\/576))\/((-2)\/(-1584)*2)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 395*i - 71. Determine a(1).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005541752 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 2 = 0. Suppose 5*x - c*x - 15 = 0. Let k be 1\/(-2)*-4 + x. What is the greatest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*h + 25, 25 = -5*i + 57*h - 53*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 266*w + 641. Calculate g(40).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2010107894.7859882 - -2010108067. Let t = -172.178 + z. Let i = t + -0.036. Round i to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -1*sqrt(91)*-6)*-2)\/(-2*sqrt(2268)).\nAnswer: -5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(1\/((-27)\/(-6))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, 3 in descending order.\nAnswer: 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82\/43203 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 8131755401595 - 8131755401595.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 7:53 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 14?\nAnswer: -53\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220303213 (base 4) in base 15?\nAnswer: -d9d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -423946, -3391514, -11446340, -27132052, -52992278, -91570646, -145410784?\n\"Answer: -423938*o**3 - o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - 5) + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - -2.12. Let j = 2 + -1. Let d = 1.07 - 0.07. What is the nearest to j in h, 4\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -12.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(200)\/sqrt(4).\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15098673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159599073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**2 + 0*f**3 - 9*f + 7*f**3 - 9 - 8*f**3. What are the prime factors of x(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 2, r: 1, t: 1}. Give prob of sequence rg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509\/381 - 42\/127. Put 5, -1\/6, a, -2, 8\/7 in descending order.\nAnswer: 5, 8\/7, -1\/6, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let w be l(-1). Let p be (0 + -6)*1\/(-2). Let v = w + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.006 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1\/7 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + 12 + 55 + -47 + 23?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2*t**3\/15 - 186*t**2\/5 - 362*t + 1014. Factor l(y).\nAnswer: -2*(y + 5)*(y + 181)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3 = -c, -456*c - 12 = -460*c - 5*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -3. Let f = b - -20. Let u = -3.944 + -0.056. Sort 0, f, u, -0.1 in increasing order.\nAnswer: f, u, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5369985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 7*h**2 + 9*h + 7. Let i be t(8). Suppose i*b - 19*b = -104. Factor 8*a**2 + b - 18 - 9*a**2 - 2*a.\nAnswer: -(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21343325 or -21343323?\nAnswer: -21343325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 7 (c) -240 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**42)*t**(-1\/45)*t*((t*t**(3\/32))\/t)\/(t\/(t*t**(3\/11))))**(1\/17) assuming t is positive.\nAnswer: t**(686573\/269280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181499745?\nAnswer: 3, 5, 7, 857, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639.839649 + 0.4.\nAnswer: 640.239649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*k + 32, -r + 2*k + k + 14 = 0. Let q = 8 - 5. Put r, 0, q in increasing order.\nAnswer: r, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 298*m - 44402.\nAnswer: -(m - 298)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let s(q) = 616*q**2 + 2. Calculate s(w(f)).\nAnswer: 616*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26533000 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147 or 7487?\nAnswer: 7487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**8\/6720 - l**7\/630 + l**5\/30 + l**4\/4 - l. Let o(b) be the third derivative of q(b). Determine o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - 19\/(-7). Solve 0 = 3*r - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + i**2 + 4)*(-2 + 5 + 5)*(-37 - 103 - 188).\nAnswer: -2624*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -14\/9, 2, 1, -2\/31 in increasing order.\nAnswer: -14\/9, -2\/31, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1702123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9625163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5 + -0.5. Let k = 9 - h. Let p = 3 - 3.5. Which is the second smallest value? (a) 3 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 + 5*o - 1. Give h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {v: 1, m: 7, d: 1}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 29*j**2 - 13*j + 19. Let d be z(-14). What is the second derivative of -b**2 + d*b - 8*b + 6*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86537995 is divided by 86537984.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 83601431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 17*i**2 + 5*i + 88. What is g(16)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2148808, 4297598, 6446388, 8595178, 10743968?\nAnswer: 12892758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 4, 1\/3, -4, 147, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 3 - 8*q**2 - 196*q**2 - 28*q wrt q.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -798 - -798.0000854. Round q to six decimal places.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y, 5*i - 5*y + 16 + 19 = 0. Let a(p) = p**2 + 9*p + 11. Let v be a(i). What are the prime factors of 69*(v + 1)\/(-2)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 20 = -2*r, q = -4*r - 8 + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 26134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + 3*(sqrt(119)\/sqrt(7))**2)*3.\nAnswer: 6*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 - (-27)\/6. Suppose -d + 13 = -4*f, -4*d + 2*f - s*f - 5 = 0. What is the third smallest value in -0.4, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -2729, -4094, -5459, -6824?\nAnswer: -8189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + m + 1877, m - 5627 = 6*c - 3*c. List the prime factors of (-12)\/(-21)*c\/(-8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -72. Let b be (-92)\/f + 12\/(-66). Differentiate 12*n**3 - 3*n**2 - 10 + b*n**2 - n**2 with respect to n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/691, -2\/40861, -3.\nAnswer: -3, -3\/691, -2\/40861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -24) + -4 + -21 + -1 + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 83*z**2 + 12*z + 9. List the prime factors of s(5).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.098191 and -5.\nAnswer: 0.490955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 294768336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25714 - -31?\nAnswer: -25663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -36*d - 4. Let u(x) = 180*x + 20. Determine 24*i(l) + 5*u(l).\nAnswer: 36*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 + -297.8. Let h = w - -60. What is h rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 79 = -56. Let p = a - -72. Let z = -13 + p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 433891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23178.6009us in weeks?\nAnswer: 0.00000003832440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 162 - 213 + 140 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - (6 - 3)) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 16. Find the third derivative of 2*k**3 - 13*k**2 + x - 8 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 + 4 - (-5 - -13))) + -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 240626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108787 = -282*o + 289*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**2 - 10*k - 10. Let t(a) = 2*a**2 + 3*a - 2. Let z(y) = y**2 + 2*y - 1. Let l(c) = 3*t(c) - 5*z(c). What is h(g) - 10*l(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 120*o + 147. What is b(-26)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -145?\nAnswer: -144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 214.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:03 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/91374 and 14\/1443.\nAnswer: 43950894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(2\/3))*w)\/w)\/(w*(w\/(w*w**12))\/w*w))**(-2\/51)\/((w*w\/w**(1\/3))**(-32)\/(w**(-3\/5)\/w**(2\/7))) assuming w is positive.\nAnswer: w**(278407\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101000010011001011000 (base 2) to base 9\nAnswer: 2432382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + (sqrt(54)\/sqrt(2)*6)**2 + -2 - (sqrt(162)\/sqrt(3))\/(sqrt(288)\/sqrt(9)).\nAnswer: 9*sqrt(3)\/4 + 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 8. Suppose -c*y + 4*l + 6 = 0, 3 = -y - 4*l - 0. Factor 0 - 3*q**3 + 3*q**5 - 1 + y.\nAnswer: 3*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + (-2 - 9) + 5. Solve -5*y + h*o = -35, 7 = 5*y - o - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u - u - 67 - 8*u**4 + 68 + (1 + 1 - 5)*(u + u**4 - u + 2*u**4 + 0 + 0 + (0*u**3 - u**3 + 2*u**3)*(-2*u + 0*u + 3*u)).\nAnswer: -20*u**4 - 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c - 35. Suppose 2*g = 2 + 2. Suppose 3 = g*k - 1. Solve k*p + c = -3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/4 + 189600*t**2.\nAnswer: 5*t**2*(t + 151680)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 11*t**3 - 3*t**2 - t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/2 + 449765*m - 3598152 = 0.\nAnswer: -899538, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3576, 3558, 3478, 3306, 3012, 2566, 1938?\n\"Answer: -5*t**3 - t**2 + 20*t + 3562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -7114?\nAnswer: 710c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 + -0.01. Suppose -4*f - f + 25 = 0, -f = -r - 93. Let u be (-4)\/(-16) + 38\/r. What is the nearest to 1 in p, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (0 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1944 + -1310. Suppose -3*s + 2767 = 2*t - r, s + t = 1133. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/20 - 5*s**4\/4 + 3*s**3 - 37*s**2. Let d be o(-13). Let v = 181 + d. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2747497, -5495525, -8243551, -10991575, -13739597?\nAnswer: -16487617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -10. Let k = -147 - -142. Let d = 1 + -3. Put k, d, w in increasing order.\nAnswer: k, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2655*q - 20. Let r be c(2). What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263425890, -263425884, -263425878?\nAnswer: -263425872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + 2\/2. Suppose 0 = 8*w - j*w. Let a = 540\/7 + -77. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 1.6. Let k = z - 1.3. Let p = 1151\/3 + -383. Which is the closest to 1? (a) k (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-36))\/((-2)\/(-8)*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g. Let p(r) be the first derivative of 8*r**2 + r - 4. Calculate p(m(b)).\nAnswer: 336*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1654665 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*o**4 - 208*o**4 - 217*o**4 - 34*o**2 + 637*o**4 - 6 as v*o**3 + c + n*o + s*o**4 + t*o**2 and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (-2 + -2) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*o + 4*l + 3, -4*o - 5*l = -4. Let w be (-2 + 20\/o)*3. What is the third biggest value in -4, w, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31837 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5200 + 62507\/12. Let c = 5\/332 - -5795\/996. What is the common denominator of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g + 2. Let a(d) = d**2 - d + 1. Let y = 15 + -3. Suppose f - y = -2*f. Determine f*a(k) - 2*o(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9*(5 - 2632) + (-2 - -3)?\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 5. Let j = 19.1 + u. Let g = j + 1.3. What is the nearest to -1 in g, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245583829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 7)*(0*m**2 + 2*m**2 - m**2 + m**2 - 4 + 4 + (5 - 1 - 5)*(-2*m**2 + 2 - 2)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304792*z**3 - 225355*z**2 wrt z.\nAnswer: 1828752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11 = 2*x + 3, 4*g - 3*x + 8 = 0. Put -1, -4, -5, g in increasing order.\nAnswer: -5, -4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -4*k - 10, 0 = -z + 2*k. Suppose 3*q - 2 + 20 = 0. Let x be (-2)\/q - 39\/36. Which is the third biggest value? (a) z (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.47. Let g = h + 0. Let r = 1274\/5 - 254. Which is the second smallest value? (a) g (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) + 2 + -3)**2.\nAnswer: -2*sqrt(11) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36312127751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-6 + 115\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 166*b - 168.\nAnswer: 2*(b - 84)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*q + 185, -3*q = -5*q + 10. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561684377 bigger than 561684379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-5)\/(-10)*950\/19)*10\/84.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 417959911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -39. Let g = -11 + i. What is the tens digit of (4 + -1)*g + 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06743 to 3 decimal places.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/36 + (-12)\/54 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 128*b**2 - 126*b + 9. Calculate k(63).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 17. Suppose -9*z = -4*z - h. Suppose -3*s + 8*s = 4*g, z*s = 5*g + 13. Which is the second biggest value? (a) 1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396) - -1*sqrt(99)) + -1 - (sqrt(275) - 2*(sqrt(275) + 1 - sqrt(275)) - -3*sqrt(275)*2)**2.\nAnswer: -13479 + 149*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8853263 rounded to 2 dps?\nAnswer: 3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcq when four letters picked without replacement from {c: 4, r: 4, q: 6}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 2. Let d(f) = -1. Let s(c) = -2*d(c) - x(c). Let y(t) = 3*t**2. Give s(y(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 + 6*l - 1. Calculate a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = -q - q, 0 = 4*q - 4*t + 16. Suppose -8 = -i - i. Put -2, i, q in decreasing order.\nAnswer: i, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 129, 245, 381, 543?\n\"Answer: x**3 + x**2 + 92*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3449007, -6898047, -10347077, -13796091, -17245083?\n\"Answer: f**3 - f**2 - 3449044*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*w - 562*w + 1679*w - 557*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 4*p = 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 636 (c) -1\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*322\/1736*-4 - -3.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/100 - 49*q**4\/20 - 2401*q**3\/10 - 93*q**2. Suppose o(x) = 0. What is x?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 4\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -798000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 245 = -4*j - 0*d, -j - 2*d + 63 = 0. Let y = j + 2. What is y rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19387933*k**3 - 58163802*k**3 + 19387929*k**3 + 19387939*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46397753 is divided by 23198856.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18853.055 + 18912. Let z = -59 + t. Let q = z - -0.05542. What is q rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -241*z**2 + 21. Let a(q) = 60*q**2 - 5. Give 9*a(h) + 2*i(h).\nAnswer: 58*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 22. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 + 6 = -2*a, -4*a = 5*h + 63. Let x be 0 - a - (-8 - -9). Let y = x + -11. Solve z - 1 = -y*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*r - 3*i + 11, 2*r - 2*i + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*h - 0*h + 218, 5*h = -5*y + 270. Calculate the remainder when y is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 5. Give y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - q + 169 - 58 in the form i*q + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:28 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 2, c: 1, q: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*6\/45*-3. What is the derivative of 1 + 1 + n - h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -17*d**3\/3 - 1172*d**2\/3 - 2209*d\/3 + 134\/3 = 0.\nAnswer: -67, -2, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -44, -41, -20, 19, 76?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709*o = 725*o - 14064. What are the prime factors of o?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -34313304?\nAnswer: -34313311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 18. Let o = -20656\/11 - -1880. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*r**4 + 255*r**3 - 3*r**2 - 2*r + 386873 wrt r.\nAnswer: 52*r**3 + 765*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4777 and 5493244.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 2, m: 3, d: 1, x: 2, p: 3}. What is prob of picking 1 p, 1 g, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ligi when four letters picked without replacement from gilillliiliilglllll.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52166 is divided by 52082.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - 3*g - 1. Let a = -202 + 106. Let p = a - -90. What are the prime factors of z(p)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2778*r + 26*r**2 - 5*r**2 - 12*r**2 - 11*r**2.\nAnswer: -2*r**2 - 2778*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2332 - -13955\/6. Let d = 961\/6 - 148. Find the common denominator of s and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875088 divided by 145848.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**8\/3864 - o**7\/805 + 2*o**6\/345 + 2*o**5\/115 - 4*o**4\/69 + 921*o**2. Find h such that i(h) = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j - 26. Let c be s(-7). What is the highest common factor of c and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/7)\/(3\/(-990)).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 7) in base 11?\nAnswer: -8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (11 - 12 - (-4 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-85)\/20)\/(-17))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -237*u. Let w(s) = 4*s**2 - 33*s - 5. Give w(h(y)).\nAnswer: 224676*y**2 + 7821*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81913447*u**2 - 95715356 with respect to u.\nAnswer: -163826894*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 144 = -n + 2*m, -5*n - 3*m = 733. Let p = -94 - n. Let i be (-1)\/(-2) + 25\/2. Calculate the greatest common divisor of i and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -57*w**2 + 19*w - 19. Let r = -1085 + 1079. Let x(o) = -19*o**2 + 6*o - 6. Calculate r*g(z) + 19*x(z).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3 + 126*l**2 + 120*l - 248 = 0.\nAnswer: -62, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*(-390)\/(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/48)\/((-2)\/266) and 31\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 - 2. Let b(x) = -2*x**3 - 3*x**2 - x - 3. Let q = 0 + 1. Let m be q + ((-1)\/(-1) - -1). Suppose -m*n = -8 - 1. Give n*h(j) - 2*b(j).\nAnswer: j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -14 (c) -3 (d) 472 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.2 - -20.0359. Let a = 5.1 - 5.93. Let h = a + v. What is h rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 35*r - 7. Let y(n) = -34*n + 9. Determine -4*k(q) - 3*y(q).\nAnswer: -38*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/7 - 38609784*c\/7 - 372678855131664\/7 = 0.\nAnswer: -19304892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**2 - 58*v - 32. Let b be m(-3). Solve 13*w - 8*w = -2*n - b, -21 = 3*w - 3*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*b**2 - 3*b + 11*b**3 - 96*b**2 - 97*b**2 wrt b.\nAnswer: 66*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37\/3 - (-3)\/(-9). Calculate the highest common factor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*t + 25 = 0, -3*d + 0*d = -3*t - 15. Suppose d = 2*q + q + 5*k - 175, -k = -2. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w - 6. Let m(j) be the third derivative of -j**6\/90 + j**5\/24 + j**4\/24 + 9*j**2. Let n(c) be the second derivative of m(c). Give 4*n(u) + 3*y(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + 136\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 13. Let i be b(-9). Let l be i + -5 - (-4 + 0). Solve -l*p = -7*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 22*s - 66. What is the hundreds digit of (s - 20) + (3 - 0) + 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/139, -2, 2\/13, 2.7, 1\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 14 = 2*l, -2*l - 4192 + 4188 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000100101 (base 2) to base 14.\nAnswer: 3d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(864)*-3) + -4.\nAnswer: -4 - sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1965473456 rounded to 4 decimal places?\nAnswer: 0.1965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 3, e: 4, j: 4, c: 1}. Give prob of picking 2 z and 1 m.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 163483 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: Determine z so that z**4 + 108*z**3 - 460*z**2 - 1344*z = 0.\nAnswer: -112, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159 - 174) + (0 - -7) - (0 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17\/4))**(3\/4) assuming m is positive.\nAnswer: m**(-51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**3 - 6*a**2 + 10*a - 2. Let j(b) = -26*b**3 + 17*b**2 - 29*b + 6. What is 17*c(s) + 6*j(s)?\nAnswer: -3*s**3 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d + 15. List the prime factors of a(-8).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 3*f + 391 = -20*r, 3*f - 21 = 0. Is 77 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121111480 and 13160?\nAnswer: 121111480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.01997316 - 13.02. Round h to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 669379?\nAnswer: 161989718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let l(s) = s**2 + 14*s + 20. Let q be l(-12). Let m(y) = -2*y - 3. Determine q*m(n) + 12*x(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + 4 - 30*p - 19*p to x*p + m and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 27844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 102046 + 0*n**2 + 0*n**2.\nAnswer: -2*n**2 - 102046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*w - 1454*w = -13*t + 169, 2*t - 4*w + 94 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-21) + 4\/6. Suppose -2*a + 0*a + 2 = 0, -2*c + 13 = 3*a. Suppose -k - 4*k - c = 0. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {w: 1, a: 6, b: 7, r: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*g + 30, -11*r + 3*g = -9*r + 23. Put -6, -16, r in decreasing order.\nAnswer: r, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*l + 33*l + 14*l + 0*l - l + 5*l + (-l - l + 3*l)*(0 + 1 - 2) + 0*l - l + 3*l.\nAnswer: 83*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12066*a - 48250*a + 12064*a + 12058*a + 12054*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22079\/7 - -3155. Are l and 472 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10587365.\nAnswer: 5, 37, 151, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -154111.9251599 - -0.35?\nAnswer: -154111.5751599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 360 (base 14) to base 3\nAnswer: 220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869552841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 68. Put 3, -4\/3, j, 0.3 in increasing order.\nAnswer: j, -4\/3, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 - 606 = -3*i. Suppose i*b - 3528 = 123*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 110. Let f = -35\/8 + 229\/56. What is the third biggest value in -1, f, 0.2, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27757314?\nAnswer: 2, 3, 13, 118621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3122\/5471 or 0?\nAnswer: -3122\/5471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*f - 1, 0 = -3*b + 18 - 3. Suppose 0 = f*i - 2*x - 3825, -3*i - 4*x + 967 = -2840. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 23*q**3\/2 - 2536019*q**2\/2 - 1653945*q = 0.\nAnswer: -30\/23, 0, 110263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 21*p**2 + 27. Let k be r(-22). Let i = k - -646. Suppose i = 2*s + 5*b, 5*s - 2*b + 92 = 6*s. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 51233?\nAnswer: 256165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 7*z - 7. Let s be m(-5). Suppose 0 = -2*t - t + 6, -j + 2*t = -8. Suppose u + j = -s*u. Sort u, 3, 1 in increasing order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1813 (c) -0.4 (d) 4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let l(v) = 7*v - 47. Let h be l(7). Suppose 4*f - 3 - 13 = 0. Solve -h*x + f*o = -12, -3*x + 0*x - a = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.51 + -3.31. Which is the nearest to v? (a) 1\/5 (b) 2 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 399.06 + -399. Sort w, 4, 5 in increasing order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 + 0*l**5 + 0 + 0*l + 8*l**2 + 1\/120*l**6 - 1\/8*l**4. What is the second derivative of m(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from {h: 6, j: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -41.786 (c) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13319657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158 + -158. Let i be (4\/(-2))\/((-4)\/(-58)). Let z be 2 + x + i\/15. Is z bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/7*r**4 - 92\/7*r**3 + 24\/7 + 92\/7*r - 40\/7*r**2 = 0 for r.\nAnswer: -1, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*x - 6, 85*g - 9 = 88*g. Let k(p) = -p**2 - 7*p - 3. Let d be k(-5). Suppose d*z - 75 = 2*z. Calculate the highest common factor of z and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 + 44*h**4 + 630*h**3 + 2700*h**2 - 3375*h = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + ((-16)\/12 - -5). Solve -y*o - 5 = 3*q, q + 1 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50737, 102755, 154773, 206791?\n\"Answer: 52018*w - 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/45*(-18)\/16.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.36984 or 5?\nAnswer: -3.36984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/178 (b) 23 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3354*h - 55. Is l(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 5, -96, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s = 111*s - 12. Calculate the remainder when 285 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55039243 is divided by 591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 706, 714, 726, 742?\n\"Answer: 2*i**2 + 2*i + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -619*a**2. Let p(j) = -2*j**2. What is p(u(v))?\nAnswer: -766322*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 33707\nAnswer: 108\/33707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2976 and 2139.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*q + 77165 - 9069 = 0. What is the highest common divisor of 1778 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 3447.\nAnswer: -689.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 155852206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 23 (b) 136 (c) -1\/11 (d) -0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h - h)*(-4*h**2 + h**2 + 4*h**2) - 2*h**3 + h + 5*h**3 - 2*h**2 - 6*h**3 + 2*h**3 - 3*h**3 - 3*h**3.\nAnswer: -9*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97052 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + (3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34343181 divided by -3815909\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 + 0 + 0)*(-7*g**2 - 66*g + 66*g) + (-66*g**3 + 21*g**3 - 44*g**3)*(3*g - 2*g - 2*g) as y*g**3 + d*g**2 + j*g + h + r*g**4 and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9197*p + 1 + 4609*p + 4545*p as v*p + m and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -14*i**4 + 5*i**3\/6 - 4*i**2 + 20*i - 10. Let q(j) = -4*j. Give q(k(b)).\nAnswer: 1344*b - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6154 + 0.2154. Let s = -49 + 50. Which is the smallest value? (a) 2\/9 (b) -11 (c) j (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9773432 millimeters to meters.\nAnswer: 0.0009773432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062873\/16 bigger than 128929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 459187136 from -0.1.\nAnswer: -459187136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001114 rounded to six dps?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2943444 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 10*d + 1. Let u(f) be the second derivative of 0*f**d + 3*f + 0 + 1\/6*f**4 - 1\/3*f**3. Find q such that u(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136930 divided by -13693.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*r**2 + 520*r**2 - 702*r**2 to y + f*r**2 + b*r and give f.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2842677*g**4 + 3*g + 128917.\nAnswer: -34112124*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/23630442 and -30\/7.\nAnswer: 165413094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 13*v - 1007*v**2 + 2 + 939*v**2.\nAnswer: -68*v**2 - 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 20*s - 65. Give l(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4669 and 348?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -20*o + 23*o - 33*o - 24*o - 5*o**2 + 4*o = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 4 - 9 - -1661. What is the tens digit of -3 + (-6 - (4 - s))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2457377 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 1 + 0 + 2)*(-741 - 755 + 1598) - 6*p**2 - 2*p**2 - p**2 to t*p**2 + o + h*p and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*((sqrt(19) - sqrt(133)\/sqrt(63)) + sqrt(19) + -1))**2*3.\nAnswer: -250*sqrt(19) + 12100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-3))\/((-1)\/(-3)). Let z = b - -6. Let j(q) be the first derivative of q**2\/2 + 34. Calculate j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(3\/(-2) - 0). Let h(z) = -234*z - 8420. Let s be h(-36). Solve a - s = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 98072007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8706.471 months?\nAnswer: 7.2553925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 91. Let f be k(-24). Solve x - f = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3\/3 + 17*r. Let g(t) = t + 14. Let f be g(-11). Let d(p) = -p + f*p + p. Calculate x(d(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 62*n**2 + 49*n - 33. What is the units digit of q(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f)*(0*f**2 + 0*f**2 + 2*f**4) + f**5 - 3*f + 3*f + 0*f**5 + f**5 - 3*f**5 + 0*f**5 - 3*f**5 + 13*f**5.\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 392\/6805 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8027 - 15.00884639.\nAnswer: -9.20614639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 14*l**2 + 14*l + 10. Calculate d(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 - 2*n**2)*(44*n - 24*n + 19*n)*(-35*n + 35*n + 16*n**2).\nAnswer: -624*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88366 or -88390?\nAnswer: -88366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975, -3722, -8259, -14586, -22703, -32610, -44307?\nAnswer: -57794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -270106, -270121, -270138, -270157, -270178, -270201, -270226?\n\"Answer: -f**2 - 12*f - 270093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 3*g + 8. What is z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1588*s + 1587*s + 24. What is the smallest common multiple of s and 225?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:12 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/(-7 + 6). Suppose -16 = -d - 3*d. Solve -2*t + d + v = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*b*g*m*q**2 - 10*b*m*q**2 + 29*b*m - b - 8*g*m*q - g*q wrt g?\nAnswer: 13*b*m*q**2 - 8*m*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 - -6?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -471\/4 + 116. Suppose 2*n - 14 = 3*i - 7*i, -4*n = -20. Let f = 1 - 0.9. Put h, f, i in decreasing order.\nAnswer: i, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t - 42. What is z(-6)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21\/95 - -8\/19. Sort 3, -2, 0.06, v in decreasing order.\nAnswer: 3, v, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 0.2, 1\/8, -4, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34499789*r - 1955 = 34499812*r for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 5*j, -j + 2*j - 4 = 0. Let f be (1 - -1) + (-1)\/u. Is f greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3347*t**2 + 7446*t**2 - 2856*t**2)*(-2*t + 3*t - 2*t)*(-6 + 3 + 2) + (2*t**3 - 3*t**3 + 0*t**3)*(3 - 3 - 1) - 2*t**3 + 2*t**3 + t**3.\nAnswer: 1245*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -847206 divided by 31378.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -309*l - 96*l + 14776 + 1520 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 435, 525, 615, 705?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 3*a - 3. Let l = a + 3. Suppose 0 = y - l*o - 14, -y = -5*y - o + 38. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*x - 7 = 199*x - 4*r, 3*x = -3*r + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1271 + (-16)\/8 + 1 + 4. Suppose 8*f + 6*f = p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58335 by 10.\nAnswer: -11667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(7488\/13)\/(-24)*(-2)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*2*4 - sqrt(130)) + sqrt(130))\/(1*sqrt(90)) - ((sqrt(143)\/(sqrt(11) + sqrt(11)*3))**2 + (2 + sqrt(325) - sqrt(325) - sqrt(13))).\nAnswer: -45\/16 + 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 82\/(-10) - (162\/60 + -4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 103.\nAnswer: -148\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1030630 - 12348577\/12. Let h = k + -1590. What is the common denominator of -87\/28 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 533561 + -350892. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/594)\/(2\/(-1)*-1)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1067499 and 155\/1299564.\nAnswer: 29889972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 2. Suppose -20 = 4*l, -2*j - 3*l = 9 + 10. Let c(f) = 5*f - 8. Let b(g) = 81*g - 129. Let v(q) = j*b(q) + 33*c(q). What is -17*r(o) + 6*v(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let f = 3771 + -3769. Suppose 6*m = l + f*m + 4, m - 1 = -h*l. Solve 3*o - 3 = -l*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.5399382.\nAnswer: -14.1597528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 19, 0, -2, -781.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (285\/171)\/((-4)\/24)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*i**2*j**2 + 151107*i**2 - 9*j**2 - 248604 wrt i.\nAnswer: 30*i*j**2 + 302214*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 17*h**2 + 7. Let y be l(-17). Let i(o) = 7*o**2 - 16*o + o**2 + 20 - y*o**2. Let z be i(15). Solve -2*d + 1 = -z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 13 = -11. Let q(j) = -7*j + 2. Let t(p) = -6*p + 2. Let x(l) = k*t(l) + 5*q(l). Calculate x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -19*w**3 - 4*w**2 - 109*w - 212. Calculate j(-2).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 47550208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and -86\/31977?\nAnswer: 127908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, -37, -238, -515, -868, -1297?\nAnswer: -1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-176)*32\/(-14)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 112 - 17?\nAnswer: fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02057 - 0.21353. Let d = -5.478 - -5.7. Let i = d + o. What is i rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6 = -130*z + 128*z, 5*w = 3*z - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946945.\nAnswer: 5, 189389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -3\/2, 33, 4.6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k + 4*n + 6, 0 = -2*k + 2*n + 16. Calculate the remainder when 18 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 (base 9) in base 10?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from itv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151741*i**4*y - 8*i**2*y - 18*i**2 + i*y - 57*i + 615*y + 1323 wrt i.\nAnswer: 1820892*i**2*y - 16*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 926*o - 16331 - 74417 for o.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 11*t + 74 = -x + 5*t, -3*t + 25 - 7 = -x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3380, -6, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9300\/375)\/(-31))\/((-2)\/115).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-29 - -20) + 27\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 3. Let k be i(-6). Suppose -4*a + k*m - m + 18 = 0, -5*m = -a + 18. Put 4, -15, a in decreasing order.\nAnswer: 4, a, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5841504.5 and 0.1.\nAnswer: 584150.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 - 4*u + 3. Let j be g(-5). Let z be (j\/6)\/(1\/(-3)). Let o = z - -2. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w - 2. Let b be 1*(-2)\/2 - -5. Is w equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.51 + 0.411. Let c = y - -0.334. What is c rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 16*s**2 + 25*s - 18. Let h be o(12). Suppose 0 = -11*w + 5*w + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -86 (c) -0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 not equal to 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37721, -75445, -113163, -150857, -188509?\nAnswer: -226101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269021*q - 624 + 624.\nAnswer: 269021*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1566\/7 - 224. What is the closest to 1 in 7\/4, j, 5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5392620 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 488 = 3*j - 14807, r = j + 3571. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3075.001583 - -3075. Round i to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*p + 18*p - 85*p + 20678219. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Suppose -w + 6 = 2*p - 5*w, w + 4 = 0. Let n be 8\/(-12)*(20\/8 - 1). Let a(l) = 3*l**2 - 1. Calculate n*a(q) + p*u(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20563 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1369*p**4 + 15170*p**3 + 49425*p**2 + 41000*p + 10000.\nAnswer: (p + 5)**2*(37*p + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21800*x**3 - 21811*x**3 - 135509*x + 135509*x.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60942b (base 12) to base 11.\nAnswer: -94093a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/530 - 2\/5)*(-494)\/95\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 5*w - 5*b, -4*w + 30 = 126*b - 128*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*y - 18, -5*y + 3 + 0 = 4*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 7*n**2 - 12*n + 4. Let x(c) = -c**3 + 8*c**2 + 13*c - 3. Let k(t) = 3*s(t) + 2*x(t). Suppose 0 = -g + 8 - 1. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*o**2 + o**3 + 0*o**2 - 2*o**3 - 40*o + 55*o to the form s + x*o**3 + b*o**2 + q*o and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163155 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21014.\nAnswer: 2, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1392)\/14 - ((-64)\/280 + (-15)\/75)) + -2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 1588, 3607, 6436, 10069, 14500, 19723?\nAnswer: 25732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6620080, -13240159, -19860238?\nAnswer: -26480317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 37*w - 45 = -3*t, -4*w - t = -75. Let u be -1*(1 + 1 + 2). Calculate the remainder when 38 - 1 - (u - -4) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 115\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23442, 92550, 207732, 368988, 576318, 829722?\n\"Answer: 23037*s**2 - 3*s + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 295. Let j be b(68). What is the highest common divisor of 1802 and j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 - 5*f - 1. Let o be j(3). Suppose -2*k + o = -4*s + 264, -s + 2*k + 70 = 0. What is the highest common factor of s and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748 (base 10) to base 9.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -53 - 797*g + 1520*g - 772*g. Is 16 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602746688.\nAnswer: 2, 9417917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0139 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2*g + 1)*(-2 - 1 + 5) + 3174 - 2*g + 2000 - 2418)*(0 + 0 - g**3) to t*g**3 + r + d*g**4 + w*g**2 + u*g and give t.\nAnswer: -2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53440 - 0.04803.\nAnswer: -53440.04803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, y: 2, q: 1, d: 2}. Give prob of picking 1 q, 1 d, 1 l, and 1 y.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 2096 = n, 3*h + 1272 = 3*n. Does 8 divide (-2)\/4 - h\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1060*o**4 - 940*o**4 + 2096*o**4 + (2 - 1 + 0)*(2*o**4 + 4*o - 4*o) + o**4 + 2*o**2 - 2*o**2 - 2*o**4 - 2*o**4 + 3*o**4 - o**2 - o**4 + o**2.\nAnswer: 97*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 - 0.67. Does -0.2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 55*z**2 + 28*z - 196. List the prime factors of j(14).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2332)\/265 + 9\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 3, -208.\nAnswer: -208, -26, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-12)\/(-90) + (-896)\/30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2640)\/1188)\/((4\/(-12 - 0))\/3). Let x be 10\/(-3)*(-648)\/6. What is the highest common factor of x and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8713852 or 0?\nAnswer: 1\/8713852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126194 is divided by 1434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f - 16. Let d be i(-7). Suppose -5*w = -0*w + 20, 0 = x - 5*w - d. Is 16 a factor of (-5 - (1 + -4) - 3)*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 103. Let n = j + 120. Let w be (-8)\/11 + 4 + -3. Is w greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (0 + -2))\/(-1). Suppose 5*c + 3*u + 423 = 19, -3*c - 225 = -4*u. Let t = c + 83. Solve x + t*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3, 1\/5, -1\/5, 2\/85, -8\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 80, 113, 142?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let l = 355 + -335. Suppose 0 = l*d - 24*d - 68. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -375652, -12, 2, -4 in increasing order.\nAnswer: -375652, -12, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 4 = 0. Let o(r) = -2*r**j - 8 + 2*r**3 - 3*r**3 + 5. Let m(k) = 4*k**3 + k**2 - k - 1. Let v be m(-1). Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 9*n - 23. Let r be k(-11). Suppose -v + 13 = -3*u, 9 + 2 = -u - 3*v. Put r, u, 10 in ascending order.\nAnswer: u, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 0*w + 0*w + (2*w**5 - w + w)*(6 + 0 - 73).\nAnswer: -131*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9290, -5, -4 in decreasing order.\nAnswer: 0, -4, -5, -9290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*m - 4 = -3*z, 0 = z + 4*m - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/(-45) - 2\/9. Suppose -3 = 4*r + 1. Let v = 1 + r. Which is the closest to d? (a) -0.5 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160080237?\nAnswer: 3, 179, 99367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -27, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -124*i + 3866. Let b be o(31). Solve -b*p + 17 = -159 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/8 + 6*z - 16.\nAnswer: -(z - 4)**2*(z + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/51968 and -91\/300?\nAnswer: 3897600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**3 - 2*j - 1. Let v be 18\/(-27)*6\/(-4). Let s be 0\/(4\/2 - 0). Suppose g + v = -s. Give i(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -23. Suppose 19*m - 6 = 16*m. Sort -1, m, j.\nAnswer: -1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 46 + -13 + (0 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjfx when four letters picked without replacement from jjxfsgn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2762*u - 5553*u - 924*u**3 + 2787*u to j*u**2 + r*u**3 + y + z*u and give r.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) - (sqrt(242) + -3 + 2)**2.\nAnswer: -243 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 15.52\nAnswer: -31.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 - 1a8?\nAnswer: -17f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8223067 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 + 20*z + 48. Suppose -11 = -51*p + 52*p. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4859756637 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-72) - 13\/(-15) and 145\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.375 and 4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*z = 2*x - 392, 4*x - z = 377. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 20. Let y be 20*(4 + k\/(-4)). Solve 0 = -y*w + 4*z - 33 + 1, 4*w = 5*z - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 32*p - 2101 + 2848 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -5*h - 24, 3*h + 16 = 2*l. Suppose 0 = -m + 2*b + 25, -3*m - b + 103 = l*m. Suppose -6*c = -m - 339. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 31, 17225 in decreasing order.\nAnswer: 17225, 31, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 4171838.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 10 + 28. Suppose -63*o = -60*o - x. Solve -2*b - 2 = -s, s - 8 = -b - o*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1 - 1. Let f = 2 + r. Let n = 40 + -118\/3. Is f greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227 - 86 + 46)*(-4 - 1 + 6)*(-3*f**2 + 2*f**2 + 0*f**2).\nAnswer: 267*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-8 + -10 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20259 + 21017. Let n = 13 - 8. Suppose 0 = -2*u - 4*v + 498, 0 = -0*u + 3*u - n*v - g. What are the prime factors of u?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-48.41\nAnswer: 24.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/7 + 304*o**4\/7 + 288*o**3\/7 - 2140*o**2\/7 - 3938*o\/7 - 1812\/7 = 0 for o.\nAnswer: -151, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taovqzt. Give prob of sequence oz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*c - 4 = -54, -2*c = p - 18. Suppose -5*t + p*t = 7068. Suppose -2*l + 7*l = 4*f - t, 2*l - 1767 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 3*t + 2*t, -2*t = -i - 11. Let o = i + 42. Let x = o + -9. Calculate the greatest common divisor of x and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*u = 4*r + 22, u = 2*r. Let s be 1*60*1\/r. Suppose -g = g - s. Solve g = -7*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:22 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-12))\/(1\/28). Let j be 1 - g\/(14\/(-4)). Find the common denominator of 83\/10 and 0 + -38*j\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -50, -2, 3.\nAnswer: -50, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*x + 10, -5*x + 32 = r + 3*r. Suppose 0 = p - 2*p - r. Sort 2, p, -5 in decreasing order.\nAnswer: 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*q = -3*z + 10, 9 = 3*q. Let u be (z - -1)\/((-3)\/1800000). What is u rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxeexexeee. What is prob of sequence exx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98232, -99846, -102536, -106302, -111144, -117062?\nAnswer: -124056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-121 - ((22 - 66) + 21)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 10*f**2 - 9*f - 16. Is 6 a factor of a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d892 - 12a?\nAnswer: d768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4 - 1301884*k**3 + 2*k**2 + 278428303*k wrt k?\nAnswer: 36*k**2 - 7811304*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s - 37. Suppose -b - 3*r - 25 = 0, 5*b = -107*r + 105*r - 60. What is q(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4266 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 - 34\/119. Solve 0 = -4*g - m*u + 4*u - 8, 2*u = g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*s - 30, 0*g = -3*g + 2*s + 21. What is the least common multiple of g and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*n + 11. Let m be (47\/2)\/(((-1632)\/(-704))\/51). Calculate the highest common factor of m and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r*s**6 + 6*r*s**2 + 6*r + 32*s**6 - 5*s wrt s?\nAnswer: 720*r*s**3 + 3840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Suppose -150 = -6*s + 13998. Let t(g) = -s - 15*g**2 + 6*g + 2358. Determine p(t(j)).\nAnswer: 15*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -59, 5, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = 5*i - 22, -5*i = -4*x - 21. Let w = -142 - -144. Let j be (w - 2\/(-4))*2\/5. Solve 2*s - x = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.49 + -0.26. Let t = 0.33 - s. Round t to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3825 = -88*v + 513*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 6*r - 2. Let n be k(-6). Let q(x) be the first derivative of -3*x**2\/2 + 4*x - 1. Let j(d) = 2*d - 3. Let t(b) = -4*j(b) - 3*q(b). Give t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01814 - -0.01814. Let d = 117\/2 - 56. What is the nearest to 0.1 in d, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -662711 (base 10) to base 9.\nAnswer: -1220055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x - 2. Let m(f) = -1. Let a(n) = -15*n + 374. Let y be a(25). Calculate y*l(w) + 2*m(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + w + 3*w. Let z be p(2). Suppose -i = z*i - 15. Solve -i*d = -6 - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 9*d**2 + 9*d + 17. Let m = -122 - -126. Suppose 2*t - m*k + 38 = 0, 3*t + t + 40 = -k. What is the units digit of s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8820 and 47\/2695?\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 + -194. Suppose -2*a + 250 = -3*c, -2*a + 78*c + 260 = 80*c. What is the highest common factor of a and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*z - 90 = 0, m = -2*z - z - 2. Let k = 14 - m. Which is the nearest to k? (a) 0.4 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 270 = 12*i. Let t = 72 - i. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.179029l in millilitres?\nAnswer: 179.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 44*c + 72.\nAnswer: 4*(c - 9)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 230 + 12\/4 + -2. Find the common denominator of 16\/3 and (-4)\/(-14) - 171\/n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614864 + -614861. Let p = 2 - 6. Which is the biggest value? (a) z (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34002*w**2 + 4*w**3 - 34002*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.08 + -0.08. Let o = 3\/49 - 64\/245. Which is the closest to 0? (a) z (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + (sqrt(684) + 1 + sqrt(684))*-1)*4 - (3 + -1*(sqrt(684) + 0 + sqrt(684) + sqrt(684) + -3)))**2.\nAnswer: -52752 - 3960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178886.\nAnswer: 2, 89443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.77, -10\/17, 4, 2\/17, 26, -1\/4?\nAnswer: 1.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 259117030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509070763*c**5*i - 2*c**2*i + 2*c**2 - 23359*c*i - c + 31*i wrt c.\nAnswer: 30544245780*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (441 + 463 + 73 - 135)*(-4*s**2 + s**2 + 2*s**2) as y*s**2 + c*s + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 786108, 1572189, 2358270, 3144351, 3930432?\nAnswer: 4716513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - 3\/3*-51. Let f = z + -48. Suppose -146 = -f*t + 298. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 656 + -657. Let b = 25 - 13. Calculate the lowest common multiple of b and (h - 10\/12)*-6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1426 and 72602?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + 0*a**5 + 1\/6*a**4 + 0 - 2\/15*a**6 - 7*a**2 + 0*a**3. Find the second derivative of f(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5, l: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let t(r) = r**3 + 3*r**2 - 3*r + 1. Let w be t(-4). Let q be j(w). Solve -q*u = -6*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 4*z - 3. Let b be d(-2). Let o(k) = 23*k**3 - k**2 + 1. What is the tens digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 295*g + 718. Is 150 a factor of q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -404696*p + 404691*p + 496, 0 = p - 2*x + 124 - 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 215)*1\/2. What is j rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2802031 times -176?\nAnswer: 493157456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 6. What is the least common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1101001010000001010010000?\nAnswer: -1101001010000001010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253878000 rounded to the nearest one million?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-1)\/(-2)*(-29)\/(6090\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:16 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*j + 1205 = -157*j. Let v = j - -493. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22830872683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 537*b - 6869. What is the units digit of k(130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12784 + -306749\/24. What is the common denominator of q and 55\/948?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-39))\/((-1039)\/(-6234))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 1678653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7019 and -3.178.\nAnswer: -7022.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -36 - -35 - 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, n: 1, r: 2, j: 1, k: 1}. What is prob of sequence rrw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3775, 3786, 3803, 3820, 3831, 3830?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 0*r**2 + 2*r**2)*(-3*r**2 - 5*r + 5*r) + 6*r**4 + 19*r**2 - 19*r**2 in the form b + u*r**2 + l*r**4 + g*r**3 + o*r and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -46*(3 - 28\/8). Let q = u + -9. What is the remainder when 41 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.14676567 plus 5?\nAnswer: -1.14676567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.4958 - -0.2318. Let o = u + 12. What is o rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = -0*t. Sort -1, t, -5 in decreasing order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 1316, 1855, 2248, 2447, 2404?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170007262*n**2 + 43945527 wrt n.\nAnswer: -340014524*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/341 and 41\/13795.\nAnswer: 151745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-12)*4\/(120\/(-14))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 83, 220, 441, 764, 1207, 1788, 2525?\nAnswer: 3436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 18 = -63 - 33. Let s(j) be the third derivative of j**5\/20 + j**4\/24 - j**3\/6 - j**2. Let z be s(2). Is f less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y + 3*y)*(-157*y**2 + 109*y**2 + 87*y**2) in the form u*y**3 + m*y + s + p*y**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 14. Let l be c(-6). Solve 4*g + 0*o - 36 = l*o, 4*g - 24 = o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u**2 + 2 + 0*u**3 + 3\/5*u**5 + 0*u**4 - 4*u. What is the first derivative of s(f) wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1962*h**3 + 631*h**3 + 812*h**3 - 4861*h**3.\nAnswer: -1456*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 615*p + 614*p - 1 - 1214*p to the form g + n*p and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c + 646 = 215 + 313 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 - 7*i**2 - 12*i - 6. Let c be l(-4). Let w = c - 120. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4 + 27123*p**3 - 61345431*p**2 + 183846477*p - 122528166 = 0.\nAnswer: 1, 2, 4519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3798023 by 7.\nAnswer: 3798023\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/g)\/(g**(1\/7)\/g*g)*(g**(1\/12)\/g)\/(g**1*g) assuming g is positive.\nAnswer: g**(-317\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 2. Let w be x(-6). List the prime factors of (108\/14)\/(w\/70).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 47979195?\nAnswer: 383833560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*x + 15, 5*u + 206 - 211 = -2*x. Find o, given that 33\/2*o**3 - 25\/4*o**u - 10*o**2 + 15\/2*o**4 - 33\/4*o + 9\/2 = 0.\nAnswer: -1, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b + 10. Suppose -2*w - 5*p + 25 = 0, 4*p - 17 - 20 = -5*w. Let m = w + -3. What is the smallest common multiple of d(0) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let b(i) = -15764*i**2 + 83*i - 6766. Let s(h) = 23646*h**2 - 133*h + 10148. Let j(c) = -8*b(c) - 5*s(c). What is the first derivative of j(w) wrt w?\nAnswer: 15764*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1218027305 rounded to five dps?\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -38. Let j be (-18)\/8 - o\/(-4). Put -1, j, -3 in decreasing order.\nAnswer: -1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16539240 and 6891350?\nAnswer: 82696200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 3*x + 2*x**2 - 1 + 3*x - x**3 + x**2 in the form b*x**2 + c + n*x + f*x**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 96 + -bb3?\nAnswer: -b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -119233?\nAnswer: -119231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*f + 3295, 0 = 6*f - 2*f - 5*a + 2638. Suppose s + 684 = -5*j, 4*s + 536 = -4*j + 6*s. Let u = j - f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-5 - -3) + -13 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462515 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6769478 by 3384739.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3\/2. Let m = 2091.94 + -2092. Is b at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 1740310 - 1740310 + 6*x**2 + 2153*x.\nAnswer: 3*x**2 + 2153*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + (-301708)\/(-77). Suppose 0 = -4*h - 3*z + 5157, 2533 = 5*h - z - v. Suppose -12*f + h = -7*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - (0 - 1)) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Suppose 5*l = -4*y + 41, 0 = y + d*l - l - 19. Solve y = 2*r - 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 + 56.8. Let t = k - 49. Let j = -183 + 191. Which is the third biggest value? (a) j (b) t (c) -2\/3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14528\/5 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 81*f - 1019. Calculate w(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694, 2259, 4354, 6973, 10110, 13759, 17914, 22569?\nAnswer: 27718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.5392825 - 11.53928. Let n = 30 + -34. Let o = n - t. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -49.9408.\nAnswer: -9.98816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 18 = -34. Suppose -281 = -h*m + 43. Let p = 81 - m. Let f(q) = -q**3 - q**2 - 3. What is f(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/6 and -53\/413?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*m + 4*m - 26, 0 = 5*m - 4*d - 37. Sort 0.3, 2\/13, -18, m in descending order.\nAnswer: m, 0.3, 2\/13, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 + 2*s - 149)*(-2 + 2 - s)*(4*s - 2*s - 9*s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25438448 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10\/13 (b) -7.39 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 8*m - 4*m - 85, -3*m + 64 = 4*g. Let h = -65 - -165. Calculate the greatest common divisor of m and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110 - 100101101110000000?\nAnswer: -100101110001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 300959 and -20925170.\nAnswer: -20624211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h**4\/h*h)\/(h**(5\/2)\/h**(-1\/8)) assuming h is positive.\nAnswer: h**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 16*g)*(0 + 2 - 1)*((-3*g + 3*g + g)*(-2 + 4 + 0) + 2*g - g + 0*g).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - j - 6432 + 2221 = 0, h + 4*j - 1057 = 0. Suppose 2*b - 11*b + h = 0. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224427 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*j - 86646106 = 916*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 15*o**2 + 3*o + 0*o**3 + 107\/12*o**4 + 31. Differentiate b(x) wrt x.\nAnswer: 214*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-330)\/48))\/(8\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 24 + -32 + 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6741 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2159, -1, 14, 3, 2, 4 in increasing order.\nAnswer: -2159, -1, 2, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2)\/(r*r*r**(-1\/18)\/r*r*r*r)*(r*r**(1\/9)*r)\/(r*r*r\/(r\/r**(1\/5))))**(10\/3) assuming r is positive.\nAnswer: r**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 0*f)*(20*f - 29 + 29) + 5*f**2 + 10 - 10.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 5*a**2 - 11*a + 16. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 40286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 5*m)*(2 + 5 - 3) + (3 - 3 + 1)*(-3 + 3 + 2*m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34320958*g**3 + 13755609*g**2 wrt g?\nAnswer: 205925748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -84. Suppose -i - 5*a = 13, -5*i = a + a - h. Solve -i - 4 = -o - 2*g, 0 = o - g + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-3\/5)*h**(2\/37)*h*h**(-13\/3) assuming h is positive.\nAnswer: h**(-31\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43701 and 0.133?\nAnswer: 5812.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -222026.\nAnswer: 6660.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 + 2 = 0. Suppose -2*s - 4 + 2 = 0. Let u be s\/3 + t\/21. Is 2 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1\/((-9)\/27). Let r(p) = p + 4. Let z be r(-6). Put -4, 2, z, g in ascending order.\nAnswer: -4, g, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 204119011 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -150, -151, -152, -153, -154?\n\"Answer: -l - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30268222 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 64?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:08 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7915?\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4119*w + 5260*w - 13 + 3580*w + 13 as o + r*w and give r.\nAnswer: 12959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39231, 36630, 34029, 31428?\nAnswer: 28827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**5\/60 + o**4\/3 + 3*o**3\/2 - o**2\/2 - 9. Let c(u) be the second derivative of f(u). Calculate c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 70*p + 247. What is i(-5)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = w - 23. Let b(i) = -2*i + 3. Let t be b(3). Calculate the lowest common multiple of t*2\/3*-1 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -38.3. Let v = -5 + n. Which is the nearest to -1\/2? (a) -5 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.343 - -0.339. Let w = -0.06 + -1.94. Let h = b - w. Round h to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from pmmfm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + a - 1. Let t(u) = 19*u**2 - 6*u + 6. Let j(v) = t(v) + 6*y(v). Let w(g) = -6*g**2 + 6. Determine j(w(x)).\nAnswer: 36*x**4 - 72*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -742 and -1?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 42*o - 44*o - 25 = 0, 5*o + 70 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let u(g) = -577*g + 286*g + 323*g. Give u(i(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 2. Let o be g(2). Let c be o\/10 - (-2)\/(-10). Factor 1\/2*i**c + 1\/2 + i.\nAnswer: (i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 + 4*l**2 - 2*l - 8. Let w be s(-4). Suppose -w = 4*q - 9*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513\/34 - -1274\/85. Let h = -1.88 + 2. Which is the closest to -1? (a) -1 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32632 is divided by 29941?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2976840?\nAnswer: 2, 3, 5, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6899)\/1)\/((-2)\/(-4)). Let r be (-1 - -2) + v\/(-2). What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.009 - -2.84. Round l to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 277 + 32 + 90 + 39 + 22*b**3 + 41.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/13 + 10012*z\/13 = 0.\nAnswer: 0, 5006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 + z**2 - 34*z + 357. Let u be k(-7). Let v = -8 + 6. What is the closest to v in u, -2, -0.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 223 - 967*g**4 + 481*g**4 + 482*g**4 - g to the form a*g**2 + x*g + f*g**4 + d*g**3 + t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1354, -2704, -4054, -5404?\nAnswer: -6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-31946)\/(-44))\/((-9)\/6). Let u = q + 484. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/5 in 1\/8, 2\/3, 0.4, -0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n. Let f(l) = -653378*l**2. Give f(c(b)).\nAnswer: -79058738*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21819.65815 rounded to zero dps?\nAnswer: 21820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133 + 70 + 66)*(-3 - 2*d + 3)*(-7*d + 15*d + 47*d**2 - 10*d).\nAnswer: -282*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 217\/(-28) + ((-63)\/7 - -17). Is f >= -1\/2333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*p**4 + 2*p + 26 - 21*p**3 - 26 + 19*p**3 in the form d*p**4 + h*p**3 + q*p**2 + i*p + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 - 2*q - 1. Let h be v(-2). Let a = 3 - h. Suppose -u = a*u. Sort -2, 6, u in descending order.\nAnswer: 6, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 18 = 85 + 29 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 4. Suppose -5*m - 66 = 3*u, 3*m = 2*m. Let b(f) = -4*f - 15 - 2*f - 9*f. Calculate u*y(j) - 6*b(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4409 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13484*j + 3*j**2 - 13484*j - 3*j**2 - 3276*j**3.\nAnswer: -3276*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Let d(y) = -9 - y**2 - 45*y**3 + 44*y**3 + y + 5*y**2. Let o be d(4). What is the biggest value in o, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 + 360\/(-165). Let o be j\/(-1440)*35292\/(-78). Let y = o + 2\/585. Which is the smallest value? (a) 4 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + 34*t**3 + 17*t**2 - 2*t - 5. Let q(d) = d. What is q(x(o))?\nAnswer: o**2 + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19520, 19524, 19528, 19532, 19536?\nAnswer: 19540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 561, 558, 553, 546, 537?\n\"Answer: -n**2 + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfjq when four letters picked without replacement from {q: 2, v: 8, f: 4, j: 1, l: 2, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-4)*4\/6. Let i(q) = -q**2 + 6*q + 14. Let h be i(11). Let a = h - -367\/9. Is a > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11579 - 7439. Suppose -20*n + w = -8*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*((sqrt(12) + -1)*-6 - (sqrt(1452)*2)**2) + 3.\nAnswer: -17403 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83781808?\nAnswer: 2, 11, 73, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5780844?\nAnswer: 2, 3, 160579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475874 and 2443774?\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n = 60. Suppose -2*a = a - n. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {p: 4, g: 5, a: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2737*x + 1375*x - 234*x**3 + 1368*x.\nAnswer: -234*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -71*w + 4. Let t be x(1). Let y = t + 73. What is the lowest common multiple of 10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/9 + 16*j**3\/9 - 4*j**2\/9 - 64*j\/9 - 14\/3 = 0?\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -435, -626, -817, -1008, -1199?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29710.37761 to the nearest integer.\nAnswer: 29710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217406384 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqqw when four letters picked without replacement from lhqwqkkd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:03 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 12:47 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5193 is divided by 180?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let t(k) = -7*k + 6. Calculate -2*f(w) + t(w).\nAnswer: -5*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-24)\/4)\/(-3 - (-75)\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -8 + -8 - (-2 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18521142 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 divided by -989?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 2*c**2 - 22 - 22 - 2*c + c**3 - 4*c in the form d*c**2 + j + i*c + v*c**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3) + (1 - 1). Let o be a + 1\/((-2)\/(-8)). Let z = 16 + -21. Put 0, o, z in increasing order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/6 + 1\/3. Which is the third biggest value? (a) 1 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -6. Suppose u - r*u = 0. Does 35 divide 139 - (u\/(-4) + (2 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -32, 3, 40, 79?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-3)\/q)*(q*q**6)\/q*((q*q**(-1))\/q)\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(210\/(-20)))\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2+-3347965422\nAnswer: -3347965424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:07 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.054 (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -4, 2\/17, 0.11, -3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.9217128 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4021 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2901 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 26.92.\nAnswer: 29.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -0.3 (c) 0 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275845331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - x - 23, 3*x + 21 = 4*i. Solve -t - 1 = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345, 559, 633, 567, 361?\n\"Answer: -70*a**2 + 424*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 + 502. Suppose -2*k + 72 = 2*x - 440, 0 = k - 2*x - y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 3\/7, -0.1, -13, -11.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 13, -0.12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*o = -30, o + 9 + 21 = 5*d. Suppose -d*k - c + 17 = 0, -3*k = 3*c - 17 + 2. Solve g = -k*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 12 - 15 = 0, 3*t - 6 = 3*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*i + 830*i - 42658 - 88096 = 0. Let h(y) = y**3 + 6*y**2 + 6*y + 4. Calculate the remainder when i is divided by h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 1\/250, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, n: 4}. What is prob of sequence cnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 821 and -0.1.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*l - 197. Let z = 315 - l. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12022)\/(-426781) - (-3838)\/(-142).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4 - (23 + 306\/(-12)). Solve y = -6*z + 23 - 53 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*1422\/(-32). Let y = r - -187\/4. Find the common denominator of y and 97\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 2*t**2 + 39*t - 2. Let q(x) = 16*x**3 + 11*x**2 - 194*x + 11. What is 2*q(a) + 11*z(a)?\nAnswer: -a**3 + 41*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2505063159 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1302\/(-21) - -37) + (19 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 131. Let r = 50.82100208 - -3.17899815. Let z = g - r. Round z to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 + -1)*(-160)\/(-120). Let f(b) = 2*b - 9*b**2 - b**3 - 3*b**2 - 3*b - 10. Let m be f(p). Is -2 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3622458?\nAnswer: 2, 3, 7, 86249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -38 + 16 - (-13 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -41 - (85 - 28)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**3 + 7*w**2 - 10*w - 19. Let q(h) = 9*h**3 + 7*h**2 - 10*h - 20. Let u(o) = -4*d(o) + 3*q(o). Factor u(p).\nAnswer: -(p - 2)*(p + 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -537, -4, 163, -5 in descending order.\nAnswer: 163, 3, -4, -5, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1717789 (base 12) to base 6\nAnswer: 250021053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(37\/(5698\/528))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -3*l - 624. Let g(o) be the first derivative of -o**2\/2 + 26*o - 6. What is the lowest common multiple of 20 and g(l)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302 + 3?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125286\/1397 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 352553 (base 6) to base 15\nAnswer: 9053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2162*d**2 + d - 1. Suppose 3*k - 1 = -g - 0, g + k = -1. Let l be o(g). Suppose 6*c = h + c - 2185, c = 4*h - l. Round h to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -148*x**2 - 31823*x - 680. What is q(-215)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.2, -0.04, -1, 4, 1, -40\/109?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - 4*c - 5. Determine r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50526*w**5 - 149*w**4 + 6*w**2 - 702840998*w wrt w?\nAnswer: -1010520*w**3 - 1788*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 53, 8, -328 in ascending order.\nAnswer: -328, -5, 1, 8, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9504)\/(-2808))\/(14\/(-91)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 275? (a) -1\/10 (b) 10 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**8\/6720 - j**7\/420 + j**6\/60 - j**5\/15 + 13*j**4\/12 + 17*j. Let t(s) be the third derivative of k(s). Factor t(f).\nAnswer: (f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577 divided by -36.\nAnswer: 577\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 + y - 1. Let v(a) = 3713*a**3 + 66834*a**2 + 11139*a - 11139. Calculate 11139*q(p) - v(p).\nAnswer: -3713*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.43 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 114966.349*0.4\nAnswer: 45986.5396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/100*c**5 + 9*c + 0*c**3 + 1 - 1\/60*c**4 + 0*c**2. Factor y(u).\nAnswer: -u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 23*t + 29. What is z(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0551854787 to four decimal places.\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51659062 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458064 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 16*k**3\/3 + 25. Let x(a) = -a. What is x(c(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, z: 4, x: 6}. Give prob of sequence zz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 57*w - 3. Is k(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/47)\/(u*u**(-5\/4)))**1 assuming u is positive.\nAnswer: u**(39\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902184571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4\/3, 2.3, -1.1, -3, 3\/29 in increasing order.\nAnswer: -3, -1.1, 3\/29, 2\/5, 4\/3, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -688*3.8\nAnswer: -2614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90948.69 millennia?\nAnswer: 90948690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 6*r**2 - 1088*r - 312. Determine k(-36).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2. Let z(d) = -2*d + 2. Let v be z(0). Let b(g) = -v*g - g + 6*g. What is s(b(r))?\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8838\/(-2455))\/((-3)\/6*3\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 52 = 2*s, -26*p + 17*p - 37 = -8*p - 2*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 0.3 (c) 2\/5 (d) 38\/7 (e) 186.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**(-33)*k**(-5\/6)\/((k**(4\/3)*k)\/k) assuming k is positive.\nAnswer: k**(-211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -93.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000291 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -118*-58*(-156)\/(-133458)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 + 9*k. Let m be q(5). Let w = m - 8. Calculate the remainder when 23 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5988*h**3*o**2 - 2*h**3 - 4*h**2*o + h*o**2 - h - 10914 with respect to o.\nAnswer: -11976*h**3*o - 4*h**2 + 2*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*p + 13, 13 = -4*p + 4*n - 7*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12927330727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2757 by -3.\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/l)\/(l\/l**(-2\/9)*l) assuming l is positive.\nAnswer: l**(-191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94311, 188387, 282463?\nAnswer: 376539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5454*y*z**4 + 3*y*z**2 + 9*y*z - z**3 + 2*z**2 - 18*z - 107 wrt z.\nAnswer: 65448*y*z**2 + 6*y - 6*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxyxxxxyxxxyxxyxyyy. What is prob of picking 3 x and 1 y?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a6 + 16cb?\nAnswer: 39a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16991 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(28) + sqrt(28)*2))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4028 is divided by 290?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63135.\nAnswer: 3, 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 70668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 454 + -2 + -2 + 3?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 828\/(-15)*-4*(-15)\/(-24). What is the highest common divisor of i and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 27 = -5*s, 5*w - 2*w - s = 17. Let f = 11 - w. Solve 0 = -n + f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {k: 3, t: 1, f: 3, r: 1, y: 2, n: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5940252 divided by 4?\nAnswer: 1485063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, 0, 187, -4, -591, -0.7?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + (3 - 1) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 253.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**4 + 2*k**3 - k. Let d(h) = h**5 + 6*h**4 + 4*h**3 - 753*h. Let a(l) = -2*d(l) + 4*m(l). Find the second derivative of a(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/(-44))\/(6\/(-4))*300\/(-105)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2 + 3*u + 1. Let c be f(-1). Sort 1, c, -8 in decreasing order.\nAnswer: 1, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -200. Suppose 0 = -2*v - 4 + b. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 74 = -4*w. Let o = 53 - w. Suppose 46*k = 49*k - 120. Calculate the highest common divisor of k and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 7*l + 6. Let a be c(5). Let j(i) = -i + 12. Does 3 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 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: 274626.41 * 2\nAnswer: 549252.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + (-1)\/6. Suppose 5*g = -0*g + 20. Let b(m) = -m**3 + 3*m**2 + 4*m - 1. Let a be b(g). Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -21*g + 165 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322 - 938 = 64*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 32*f**4 - 4*f**2 + 31*f - 4. Let q(l) = -64*l**4 + 7*l**2 - 60*l + 7. Let v(y) = -4*q(y) - 7*s(y). Find the second derivative of v(t) wrt t.\nAnswer: 384*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65517721 is divided by 334274.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {p: 3, q: 2, r: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, c: 16}. What is prob of picking 1 c, 2 r, and 1 t?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + -17 + 7 - (-4 - -1) - 46.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 199. What is a rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44997687*d**3 + 47260981*d**2 + 2*d wrt d.\nAnswer: -269986122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*(v*v\/v**(-2\/9)*v)\/v)**(-4) assuming v is positive.\nAnswer: v**(-260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*126\/(-900)*-5*(-80)\/182\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72.5 and -463.12.\nAnswer: -535.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 7*i**2 + 2. Let v be 1 - 1 - 3*2\/(-3). Suppose -3*k + v*y + 20 = 4*y, 4*y - 10 = -3*k. What is the lowest common multiple of w(7) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 473.086 - 0.586. What is d rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132047 = -8746*m - 718029 for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34357132 and 100034?\nAnswer: 377928452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 210617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4569207581?\nAnswer: 157, 29103233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74041 + 3217?\nAnswer: 77260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 50644084*y\/3 + 641205811049764\/3.\nAnswer: (y + 25322042)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, -66893, 1, 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -g - 11, 0 = -j - 3*g - 3. Suppose 7*h - j*h + 20 = 0. Put 2, 4, h in ascending order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130963730 is divided by 2219724?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636596 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(288)\/(sqrt(36)\/sqrt(3)))\/((4*sqrt(96))\/sqrt(12) - sqrt(8)) + -5)*-4 + -5)**2.\nAnswer: -80*sqrt(3) + 739\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*f + 11, 0 = o + 4*f - 2*f - 8. Let a be (-3 - (-57)\/18)*o. Let l = 232 - 232. What is the second smallest value in -6, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*m - 46*m - 31*m = 252 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-15) + (-4)\/(-10). Let z(k) = -7*k - 2*k + 6*k + 8*k**t. Let g(c) = -c**2. Let b(w) = -5*g(w) - z(w). Determine a, given that b(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + 1 + -10 + 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**3 + 3*h**3 + 6*h**3 + (2*h + 0 + 4 - 2)*(-3*h**2 + 2*h**2 - 2*h**2).\nAnswer: -2*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*k)*(1 - 1 + 1 + (2 + 2 - 1)*(34 + 17 - 19)) to f*k + b and give f.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 24 = -2*f, 2*f - 7*f = 3*j - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/6*z**3 + 18 + 1\/4*z + 1\/8*z**2. Factor r(c).\nAnswer: -(c - 1)*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 396 = -404. Let z = -97 - t. Suppose 0 = -5*w + 7*o - 9*o + 7, -2*w - 6 = z*o. Solve w*d = -4*c - 7, 0 = -c + 2*d + d + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 2*l**2 - 3*l**3 + 3*l + 4*l**3. Let j be q(3). Suppose 126*p + 2*h - 2 = 127*p, p + 2*h = 2. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 1814*c**2 + 12681*c - 97. Give u(7).\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -10*d**2 - 1\/6*d**3 + 0*d + 0 + 3\/20*d**5 - 1\/24*d**4. What are the prime factors of a(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let l be 57\/12 + q\/4. Suppose -n + 5*s + 9 = -0*n, -l*n - 4*s = -103. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7282 + 10082. Is 140 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -387, -389, -391?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26e3 + -4?\nAnswer: 26de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:21 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 574350 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474144, 1896603, 4267364, 7586421, 11853768, 17069399, 23233308?\nAnswer: 30345489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 14. What is the least common multiple of 24 and l?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let w(q) = 2*q**2 - 4*q**2 - 7*q**2 + 3*q**2. Give w(i(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 69 = -2*w, 6 = 3*j + 3. Suppose -4*b = 2*z + 22, 4*z + b = -0*b - w. Is 4\/((-24)\/z + -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, 3 = -a + 3*f + 6. Suppose u + a*u = 24. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*y - 4009984 = 0, -5*j - 13283177 = 2*y + 6766815. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + 3. Let y be f(5). Suppose -y*q = -q + 10. Let j(z) = z**2 - 10*z - 29. Let w be j(-2). Is q >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -38, -90?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 31*o**7\/210 - o**3 - 12*o**2. What is the derivative of s(b) wrt b?\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 28*l + 0*k = 9*l + 4*k - 48, -l = -4*k for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-17) - -1)\/((-87)\/116*4).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - b + 66 = -5*b, 0 = -o - b - 23. Let t = o - -38. Let h(g) = g**3 - 5*g**2 - 3*g - 6. Let q be h(6). What is the highest common factor of t and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 126.63. Let q = 1.93 + t. Let n = 10 - 10.01. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 85 - 65. Suppose -5*x = 3*n - 18479, 0*n - 2*n = l*x - 12318. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Suppose 2*r = -3*a - 123 + 107, 4*a + 18 = -r. Let y(c) = 2*c**3 - 4. Give a*f(g) + y(g).\nAnswer: 2*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4349 + 4393. What is the remainder when (-2)\/(-7) + 1531\/7 is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0 + 0*v**3 - 1\/180*v**6 + 0*v - 1\/24*v**4 + 5*v**2 + 1\/40*v**5. Let h(i) be the second derivative of t(i). Determine h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + o. Let q be h(-1). Suppose -2*m = -5*b + 22, q*m = b - 0*b - 8. Suppose 0 = 9*d - b*d - 855. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(228) - -3*(1*sqrt(228) + sqrt(228)))\/(1*3*sqrt(1200)*-3).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -613 + 595 - (-2 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19059 less than or equal to -19051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 266*l - 20819. What is j(80)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 - 916*c**4 + 196264*c**3 + 39180160*c**2 - 1324070400*c = 0.\nAnswer: -232, 0, 30, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78038 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 3*y**2 - 4*y - 4. Let z be d(-3). Suppose 1157*x - 1153*x - 20 = 0. What is the second derivative of 5*a**2 + z*a - x*a**2 + a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5 = 9*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18169*d - 10788. Let u(w) = -12118*w - 7192. Let l(x) = 5*h(x) - 7*u(x). What is the first derivative of l(y) wrt y?\nAnswer: -6019","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1862420 - -134.62443.\nAnswer: 1862554.62443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u + 12352 - 13344 = -6192 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1154 and -1154 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 1. Give p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 34*k = 5*z - 22, -3*z = -12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -12*l - 3*l - 74 - 10, b + l = 40 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 99, 131, 197, 309, 479, 719, 1041?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 7:16 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 110000111?\nAnswer: -110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -2 + 3\/5*f**5 + 0*f + 0*f**4 + 0*f**2 - f**3. What is the third derivative of u(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + u**2 - 6*u**2)*(-2*u + 1 - 1)*(-u + 0*u - 2*u).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = 3. Suppose -2*o - 4800002 = 4*h, f*o - 2399997 = 3*h - h. Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 389706450 to the nearest 1000000.\nAnswer: 390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2148*g = -1089*g + 1163*g + 1936 - 8158 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -14*y**5 - 4*y**4 + 56*y**3 + 16*y**2 = 0.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2458160085422 and 4.\nAnswer: -2458160085418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2916 and -11\/386532.\nAnswer: 3478788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxj when three letters picked without replacement from {j: 1, x: 2, l: 1, w: 2, y: 1, b: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.6 + -19.7. Let g = -30 + 27.2. Let l = g - -4. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2549 and -2718 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - 1. Let a(f) be the third derivative of f**5\/20 + f**4\/24 - f**3\/6 - 2*f**2. Let u be a(1). Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40483 less than -40483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-42)\/18. Suppose 0 = 7*v - 2*v + 5*h - 430, r*v - 196 = 4*h. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 + 104*o**3 - 33*o**3)*(23 + 71 - 12) to the form m*o**2 + u*o + a*o**3 + y and give a.\nAnswer: 5986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204668296 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/351 - 70\/216)*-6. Factor -1\/2*y + 3\/2*y**4 - n*y**2 + 0 + 1\/2*y**3.\nAnswer: y*(y - 1)*(y + 1)*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1\/(-3) - (-574)\/21). Let x = a - -25. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 1. Let j(p) = 18*p + 27. What is -j(h) + 19*x(h)?\nAnswer: -37*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4081954, 8163925, 12245896, 16327867, 20409838?\nAnswer: 24491809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 41. Sort -3, 32, f in descending order.\nAnswer: 32, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/19)*o*o*o*o**(12\/5))\/(o\/((o*o**6)\/o)*o\/(o*o**(-4)*o)))**(-25) assuming o is positive.\nAnswer: o**(-4015\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 31*o**2 - 894*o - 231. Determine p(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 8. Solve -k*w - 16 = -6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115, 74, -39, -260, -625, -1170, -1931?\n\"Answer: -6*g**3 + g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by (210\/180)\/((-2)\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101022010201121 (base 3) to base 4\nAnswer: 110320210132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.026, 1, -0.2, -57\/2, 0.3?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, l: 7}. What is prob of sequence lttt?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l - 9 + 0*l - 15*l**2 + 14*l**2. What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 - 658*q**2\/3 - 152295*q\/2 - 2586033.\nAnswer: -(q + 38)*(q + 639)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(700) - sqrt(7))**2 + (sqrt(343) + 1 - sqrt(343)))*5.\nAnswer: 25280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(15\/2)*3\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110010 + 10110111?\nAnswer: 10010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose -3*y = -y + s*g, -y - 3*g = 3. Solve y + 0 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -685980 plus -10386?\nAnswer: -696366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-960)\/(-75) + (-27)\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 - 1868*v + 5622 = 0. What is v?\nAnswer: -937, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2. Let z(s) = 89*s**2 - 2*s. Calculate z(b(c)).\nAnswer: 1424*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + q**2 + 1. Let h be g(-2). Let d be 2\/7 + 57\/h + 3. Solve -c = 2*c - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oac. What is prob of sequence aco?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*y + 13, -5*y + 0*y - 37 = -4*c. Let v = -7 - -17. Let j = v - 13. Put j, c, -2 in decreasing order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(9 - 807)*-4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*(0 + sqrt(245) + sqrt(245))*-3)**2)*-3.\nAnswer: -423354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -24. Let f = 22 - t. Solve 2*w + 12 = -4*r + f, r + 4*w + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 divided by -22?\nAnswer: -927\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -650 + 651. Let a(r) = -2*r - 42. Let h(p) = 4. Let x(i) = o*a(i) + 12*h(i). Calculate x(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*r - 786*r - 652*r = 52581 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 184352*f + 4248207488.\nAnswer: 2*(f - 46088)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1299 + -1251. What is the highest common divisor of r and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let i(x) = x**3 - 2*x**2 + x - 4. Let j(p) = 2*c(p) + i(p). Is j(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 592\/23 - 60838\/2369. Let x = k - -85\/309. Suppose 2\/3*o + x*o**5 - 1\/3*o**2 - o**3 + 1\/3*o**4 + 0 = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45314 divided by -299\nAnswer: -45314\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f - 5. Let u = 5166 - 11338. Is (3\/6)\/(f\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) - (-1661)\/(-33). Let y = 61 + p. Solve -b - 14 = 2*a - 5*b, 0 = a - 3*b + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11498 divided by 55.\nAnswer: 11498\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b + 2. Let y be d(6). Suppose 10 = y*r - 90. Let v = -33 + r. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208250568 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*h + h + 126, 74407*h = 74406*h - 5*s + 72 for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14679.58 tonnes to milligrams.\nAnswer: 14679580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1*4) + 1. Let i = -69 + 68. What is the closest to 0 in i, c, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68774213 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1547, -6957, -15973, -28595?\n\"Answer: -1803*d**2 - d + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1233239 micrometers in centimeters?\nAnswer: 0.00001233239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 45. Is p greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1)*(0 - -1). Suppose 0 = 6*y - 3*y - 6. Let k be 3\/y - 0\/o. Do 0.1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 70675595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4706, 4912, 5200, 5564, 5998, 6496?\n\"Answer: -o**3 + 47*o**2 + 72*o + 4588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 263 - 263.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4543 and 1029789068?\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 - 71 + 49*q - 45 - 68 - 53 to the form m*q + v and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q + 31. Let z be m(0). Let n = 35 - z. Suppose -26 = -2*b - 10. Solve -n*d + b = -4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902248 divided by -13.\nAnswer: -902248\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 - 27*t - 42. Calculate the remainder when 92 is divided by s(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (-15 + 15 + 5 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132898 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2. Let l be (2\/6 + (-1)\/3)\/1. Suppose 3*r + r + 84 = l. Let y = -15 - r. Give w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54961.95ml in litres?\nAnswer: 54.96195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 9*k**2 - 10*k - 12. Let d be x(-8). Suppose 0 = -l + d*l + 6. Put -1, l, 0 in descending order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1134\/(-30) - 32\/160.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m**3 + 116*m - 116*m + m**3 - 3*m + 3*m + (2 - 2 + m)*(-3*m**2 + m**2 + 0*m**2) to b*m**2 + p + k*m + j*m**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17879 * 3\nAnswer: 53637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167702?\nAnswer: 2, 71, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {n: 3, q: 1, b: 4, a: 4, o: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k + k**3 + 1 + 2*k**2 + 15*k - 7*k**2 - 5. Give w(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/21 + 4\/2. Put a, -3, -4 in ascending order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/11 and 55\/276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195149 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -296*w. Let x(f) = -2*f**2. Calculate a(x(z)).\nAnswer: 592*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4433 - 2461500?\nAnswer: -2466233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21721.8 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - c = -428, -18*v - 452 = -21*v + 5*c. Calculate the greatest common divisor of 7056 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 0)*1 - -120.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112136, -1112137, -1112138?\nAnswer: -1112139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let o be u(-5). Let n = 2 + -13. Let a = -5 - n. Solve -15 = o*g - 0*j - 2*j, -4*j = -2*g - a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64700882731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 771 - 766. Suppose -4*b = -3*s - 289271, -k*b - 12*s = -13*s - 361586. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -11 (c) -2\/3 (d) -1 (e) -1547\/10 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + -4.3. Let v = 0.5 + 2. Let u = r + v. Put u, -0.1, 0.3 in descending order.\nAnswer: u, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115335270*p**3 + 40268820 with respect to p.\nAnswer: -346005810*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18057, -72256, -162587, -289050, -451645, -650372?\nAnswer: -885231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12060)\/(-150)*(-10)\/(-2)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011 (base 3) to base 6.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 848.02.\nAnswer: -339.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/127, 0.5, -4, 8, 1, -0.3?\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Suppose 0 = u - i*u + 17. Calculate the remainder when 66 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 (base 9) in base 16?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/50*(-260)\/(-936). Let s(f) be the third derivative of l*f**5 + 0*f**3 + 0*f - 3*f**2 - 1\/12*f**4 + 0. Let s(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-28)\/(-21)) + (-14)\/18. Suppose 3*y = 3*q + 6, 0*y = 4*y + 4*q + 16. What is the second biggest value in y, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17310 divided by 15.\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 785*s**4 - 2532*s + 4 wrt s?\nAnswer: 9420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 = s, 2*j + 2*j + 8 = -s. Let q(i) = 9*i**2 - 4*i + 1. Let z(p) = -19*p**2 + 9*p - 2. Let f(k) = j*z(k) - 7*q(k). What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {z: 3, q: 3, l: 7, b: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**7\/21 - 17*w**4\/12 + 13*w + 16. Let p(g) be the first derivative of y(g). What is the third derivative of p(b) wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 3893*z**7\/210 - 1043*z**5\/20 + z**2 - 215*z - 3. What is the third derivative of n(p) wrt p?\nAnswer: 93432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 777313052 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 13550?\nAnswer: 40650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 96921528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*d + 58, 5*d + 3 = 4*i - 83. Suppose 11*t - i = 3*t. Solve 0 = -4*v + g - t, -2*v - g = v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -37*q**2 + 14255 + 14264 - 28519. Let u(g) = 10*g**2 + 6. Determine j(u(x)).\nAnswer: -3700*x**4 - 4440*x**2 - 1332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2169, 2739.\nAnswer: -2169, 27, 2739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*g + 662*g + 664*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 21. Suppose -q*c + c = 0. Solve 3*s + 2*s + 25 = c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*q + 12 = 3*q, 0 = -2*z + 2*q. Let b be (567\/(-14))\/(z\/(-16)). What is the greatest common factor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 1, 27, 69, 133, 225, 351, 517?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (0 - -1) - 1. Do m and 54\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761384, 761431, 761478, 761525, 761572?\nAnswer: 761619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16251145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*v**3 - 2*v + 522*v**3 - 265*v**3 + 2 + 888*v**2 as u*v + w*v**2 + m + y*v**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41456051 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 52 = -54*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16874 (base 11) to base 5\nAnswer: -1224201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 11908*q - 519440.\nAnswer: 4*(q - 3020)*(q + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7620 + 7620.4. Suppose n + 2*j = -3*n - 6, -3*n + 3*j = 0. Let w = -0.562 - -0.062. What is the closest to -2 in p, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 + 4 + -11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8852?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4803 is divided by 371?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:26 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 20, 31, 44, 59, 76?\n\"Answer: s**2 + 6*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**3 - 14*x**2 + 179*x + 366. Determine t(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 91*c**2 - 25*c + 101. Let g be p(6). Suppose -g = -17*s + 649. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-64)\/(-12))\/(3\/(-27)). Let h be (0 - a\/1)*(-5)\/15. Are -3\/61 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2 + 14*o**3 - 13*o**3 - 9*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -28. Suppose -i*j = -9*j + 6. Suppose j*s - 2*c = 0, c - 2 = -s - 0. Sort -1, s, 5 in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**22*d)\/(d*d**(2\/65)))\/((d*d**(-18\/7))\/d**(-2\/3)) assuming d is positive.\nAnswer: d**(31223\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/(-62))\/(11\/(-12)*-3).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**15*p)\/p*p**6 assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208180119*i**3 - 21*i**2 + 57358*i - 29 wrt i.\nAnswer: -1249080714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 127 = 1097. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 20 = 0. Let o(g) be the third derivative of g**4\/6 - 4*g**3\/3 - 5*g**2. Let m be o(p). What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2 - z - 3. Let f be n(3). Let j be 1\/f*(-1 + 1). Let g = 3 + -5. Do g and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313792, 313795, 313798, 313801, 313804?\nAnswer: 313807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**3*n*n*n)**(1\/17)\/(n**5)**(-2\/15) assuming n is positive.\nAnswer: n**(58\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 12:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 839 (base 11) to base 16\nAnswer: 3f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**8\/30240 - w**7\/945 + 2*w**6\/135 - 3*w**5\/10 + 6*w**2. Let u(f) be the third derivative of d(f). Factor u(g).\nAnswer: 2*(g - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 27*t**2 + 7*t - 7. Calculate n(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f**2 + 6*f + 8. Let r(t) = 2*t**2 + 5*t - 6. Let o be r(-3). What is the hundreds digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 111*(20\/24 + (-2)\/4). Suppose 5*b + 2*t + 13 = p, 0 = -5*t + 10. Suppose 0 = -m - b, -5*f + 137 + 188 = -5*m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 389?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079785340?\nAnswer: 2, 3, 5, 113, 102251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6536 - 6536.03. Which is the nearest to 0.6? (a) 2\/9 (b) 0.1 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00160189 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 530241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075060659 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4 - 4 + 8 - u**2. Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 4*v + 53 - 36, 3*v = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b + 5. Let q be r(4). Let f be 10\/6 + 4\/(-6). Is f equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*v = -1278, 4*v = -4*t + 1771 + 761. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 128*s**4 - 716*s**3 - 904*s**2 + 560*s + 1184.\nAnswer: 4*(s - 37)*(s - 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -40?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - 99)*(-7)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*l + 2*l - 20 = 0, 4*k - 5*l = 38. Let v = k + 2. Suppose -5*s + 10*r = 5*r - 45, -4*r = -s + v. What is the highest common factor of s and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76131038 is divided by 15937?\nAnswer: 15926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1210.2718 + 1210. Let p = -0.261 - u. What is p rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6. Suppose z*f = 7*f - 16. Calculate the greatest common divisor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -3\/10*m**5 - 1\/10*m**6 + 0 + 2*m**3 - 6*m**2 + 3\/4*m**4 - 57*m. Factor y(v).\nAnswer: -3*(v - 1)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - -26?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**6\/6 + 2*f**5\/5 + 3*f**4\/4 + 7. Factor h(u).\nAnswer: -u**3*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33443*h - 65991*h + 33179*h.\nAnswer: 631*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265 - 13*w**2 - 1265.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 2.1. Let z = 105 - 736\/7. Put z, -1\/5, r in ascending order.\nAnswer: r, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -43. Let m(b) = b**3 - b**2 - 12*b + 3. List the prime factors of m(s).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k + 2*q, -2*k - q = -0*k - 3. Suppose 5*x - 10 = k, 4*p = 5*p + 4*x - 63. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-4)\/(-4) + -3). Let l(h) be the first derivative of y*h**2 - 2 + 0*h**4 + 2\/5*h**5 + 0*h**3 + 2*h. What is the derivative of l(t) wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30729.\nAnswer: 3, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/324530 and 37\/1427932.\nAnswer: 7139660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1311 (base 5) to base 2\nAnswer: 11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Suppose -6 = 3*w + 4*d, -2 = 2*w - w + 4*d. Let x = -6 - w. Put x, -1, l in increasing order.\nAnswer: x, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-760)\/120 - 102\/(-9). Let d(r) be the second derivative of -l*r - 7\/4*r**4 + 7\/2*r**2 + 0 + 0*r**3. Differentiate d(w) wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -288\/17?\nAnswer: -288\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -0.06, 2\/3, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12641737.\nAnswer: 12641737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 + 94*j - 39. Calculate the least common multiple of s(10) and 12921.\nAnswer: 12921","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4260 = -4*z + 4*k, 3191 = 4*z - z - 5*k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 - 19 = 4*r. What is the least common multiple of r and 16?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 10, -5*n + 143 = 5*o + 173 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 0. Suppose 4*m + 24 = 5*h, t = 3*m - 2 - 10. Suppose 3*u = c - 28, 2*c + u - h = 27. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 3, d: 3, y: 10, f: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 30 + f**4 - 23*f**2 + 30*f**3 + 26*f**2 to p*f**4 + s + v*f**3 + k*f**2 + g*f and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -157*f + 79*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1261, 2589, 3995, 5485, 7065, 8741, 10519?\n\"Answer: k**3 + 33*k**2 + 1222*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4973 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 + -0.182. Let s = z - -0.0020054. What is s rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3108.981 rounded to the nearest 10?\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 147906159100 to the nearest 1000000.\nAnswer: 147906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 4*m - 8 - 2*m - 3*m**3 + 0*m**2 + 3*m**2. Let k be a(-10). Let b be (-1)\/2 + k\/4. What is b rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*c - 4*w + 197, 3*c - 5*w - 206 = 0. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let y = 0 - 2. Let f = -10\/381 + -692\/2667. Which is the nearest to f? (a) y (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 105*m - 3565. Determine q(51).\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 8, 51 in descending order.\nAnswer: 51, 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39391507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1372 (base 16) to base 9.\nAnswer: -6741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4503*a + 9005*a + 4*a**2 - 4502*a - 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c - 15. Let p(j) = j - 1. Give -g(h) - 4*p(h).\nAnswer: 6*h + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 6*h**2 + 2*h.\nAnswer: 2*h*(h - 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = j - 3*l - 5, -j = l - 8. Let k(c) = 2*c**2 + 2. Let g(n) = -3*n**2 - 3. Determine j*k(q) + 5*g(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(-2*v**2 + v**2 - v**2) - 2*v**3 + 3*v**3 - 2*v**3 + 0 + 0 + v**3 + (0*v**2 - 2*v**2 + v**2)*(4*v - 2*v - v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w. Let q(l) be the first derivative of -2*l**3\/3 - 27. Calculate h(q(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 - 3*k - 2. List the prime factors of a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0 + 0 - 2*v + 1 - 1 + (-1 + 4 - 2)*(-5 + 5 + v) + 8*v + 11*v - 4*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*r - 762*r - 159 - 66 = 350 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 582922732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.042\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1413275.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 48 + 32 = 0. Suppose -14*z = -10*z - q. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 19 - 19 + (1 - 1 - 3)*(s - 3*s + 3*s) + (-2 - 2 + 2)*(2*s - 3*s - s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:43 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5235 and 61\/1047.\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1136 + 6c8?\nAnswer: -84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588432 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -886 (base 16) to base 9.\nAnswer: -2884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2234\/9 (b) -64 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 506 - 1908812*y**2 + 1908814*y**2 - 1785.\nAnswer: 2*y**2 + 2*y - 1279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, w: 1, p: 2, b: 3}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide -80441288 by 152.\nAnswer: -529219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + -39 + 183 + 0 + -2 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -3*x**7\/7 + 51*x**5\/5 + 5*x**3 - 3*x - 1144. Find the third derivative of m(h) wrt h.\nAnswer: -360*h**3 + 1224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 3, c: 5}. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67347 (base 12) to base 9.\nAnswer: -227831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*36\/(-8) + 4. Suppose u = -13*h + 14*h. Let i = 27 - h. Let v(d) = d**2 + 3*d - 5. Give v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2990 - 1439. What are the prime factors of y?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.1 - 8130.886454?\nAnswer: -8055.786454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -13. Let b = -5 + x. Suppose -2*a - b*m + 6 = 0, -a + 3 = 4*a + 4*m. Let g(z) = -8*z - 1. What is g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4302341 (base 12) to base 2.\nAnswer: -110000011011001101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*p + 7. Suppose 0 = 10*l - 9*l - w + p, 7 = 3*l + w. Solve -l = t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2055 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p**3 - 44*p**2 + 6*p. Let q(s) = s**3 + s**2 + s. Let r(g) = a(g) - 6*q(g). What is the third derivative of r(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 8, 2*t - 38 = 3*g + 60. Let h = 51 - t. Let w(m) = m**2 + 3*m - 3. Let o be w(-4). Which is the nearest to o? (a) -0.1 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 6*g. Let p(o) = o**2 + 2*o. Let l(b) = 3*p(b) + r(b). Let i be 1 - (2*1)\/(-1). Let q(j) = -i*j**2 - j + j. Give q(l(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4069.3 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 - 68*l**2 + 50*l**2 + 0 - 3 wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/80 and -89\/8740.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -831.8 + 832. Which is the third smallest value? (a) -4 (b) 29 (c) 0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - t - 1. Let x(d) = 25*d**3 - 8*d**2 - 8*d - 8. Suppose -13*i = 616 - 304. What is i*h(c) + 3*x(c)?\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 180\/11, -10, 0.4, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:43 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 77. Calculate w(-27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -6 - (3 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o - 2. Let w(h) = -50*h - 11. Let y(k) = 23*k + 5. Let v(u) = 6*w(u) + 14*y(u). Determine 11*l(d) + 6*v(d).\nAnswer: 11*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(23 - -2))\/(51\/(-255)). Determine k, given that 2\/5*k - h*k**2 - 1\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.4464 and -43.9367?\nAnswer: 47.3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72273, -144560, -216857, -289164, -361481?\n\"Answer: -5*p**2 - 72272*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*3\/6)\/(-5 + 6). Suppose z = 5*s - 37205, -3*s = s - t*z - 29775. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. What is the lowest common multiple of m(-1) and ((-333)\/(-74))\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0743 + 5.4643. What is a rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w - 4. Suppose 2*h - 15 = -3*h. Suppose 2*l = -2*r - 24, -5*r - h*l - 56 = l. Let s be q(r). Solve -3*k = 3*a - 24, s*k - a - 22 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9850 + -9849. Sort -5, w, 3, 56, 5.\nAnswer: -5, w, 3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4608 = -8*w. Suppose -2*c + 717 - 144 = 5*k, 5*k = c + w. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 31. Let s(y) = -10*y - 68. Let q(m) = -5*s(m) - 11*t(m). Let a(k) = -3*k. What is q(a(d))?\nAnswer: 15*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*k*m*p**6 + 4*k*m*p**2 + 787*k*m - 7*k*p**2 + 195*m*p**3 wrt p.\nAnswer: 2760*k*m*p**3 + 1170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 + 4342*c + 34795. What is b(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 37 + 2171. Suppose 4*l + 5*a = -0*a + 183, 3*l - m = -3*a. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139021?\nAnswer: 139021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 24 = -s, 0 = 3*h - 3*s - 30. Let l be h*2\/(-8)*-12. Let i = 36 - l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s. Let j = -2538.5 + 2537.5. Which is the closest to s? (a) -3\/7 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -36. Factor 3*s + s**p - 4*s**2 - 3*s + 5*s + 0*s - 2.\nAnswer: (s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**5*q**3 + 2*g**5*q - 4*g**2*q**3 + g**2*q + 6*g*q wrt g.\nAnswer: 240*g**2*q**3 + 120*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 897\/(-117)*((-6351)\/(-6))\/(5\/(-30)) a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 1. Let o(n) be the first derivative of -5*n**2\/2 + 48. Let l(h) = 3*b(h) - o(h). Calculate l(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*1*(-112)\/(-280)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5941 + 5957. Calculate the remainder when 20 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135832189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v - 2\/3*v**4 + 0*v**5 + 0*v**3 + 0 - 15*v**2 + 1\/30*v**6. What is w in b(w) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*k - c, 33*c - 5*c + 101 = -5*k - 0*k + 15*c + 16*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 6*w - 6. Let f be i(6). What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216535 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 116 (b) 0.821 (c) -5\/6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -427 - -6?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 82596*d - 1321792.\nAnswer: (d - 16)*(d + 82612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50809*m + 50809*m - 2397*m**2.\nAnswer: -2397*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174228487.\nAnswer: 174228487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i**2 + 39*i - 78. Let k be a(2). Calculate the highest common factor of k and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/30 - 2*a**2 - 6*a. What is the derivative of r(z) wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366939822.\nAnswer: 2, 3, 61156637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c\/c**(2\/21))\/c))*c**2*c)\/((c\/c**2)\/(c\/((c*c**4)\/c)*c)))\/((c*c\/((c\/(c*c**(-7)))\/c))\/(c\/c**(-1\/6))*(c*c**0*c*c)**(-12)) assuming c is positive.\nAnswer: c**(603\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/171 and -41\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*-782*(-7)\/(-56). Is w - (11 - 5 - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 100*c - 73*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, w: 3, i: 1, c: 2, l: 3}. What is prob of picking 1 w and 1 l?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -1\/5, 0.4, 0.05, 0.072?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + t - 74, -4*v + 6*t - 9*t + 70 = 0. Calculate the remainder when 65 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1 - 10 - 4 - 4*k + 6. Let b(u) = 5*u + 8. Give -2*b(p) - 3*l(p).\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3751 = 3*m - 5*w, -5*m + w + 6263 = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let i be (6\/(-7))\/(16\/(-112)). Let p(t) = -t + 10. What is i*w(r) - p(r)?\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/235160 and -5\/16.\nAnswer: 470320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.9 - -8. Let n = d - 2. Which is the second smallest value? (a) n (b) 3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + (-6 - -20) + -8 - (-2 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71910928 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(((sqrt(864) - sqrt(24)) + sqrt(24))\/sqrt(8)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.61957427 rounded to 3 dps?\nAnswer: -20.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 85 + 8172303*y**3.\nAnswer: 8172303*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343250452?\nAnswer: 2, 941, 91193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 65*u + 9. Let h(r) = 325*r + 48. Determine 2*h(b) - 11*o(b).\nAnswer: -65*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 70 = -3*o, 23065*q + 2*o = 23063*q + 44 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, -0.02, -0.6118, -5, 0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -222*t - 738. Is z(-9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-16)*4)\/(11\/(-11))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnnnnnbnnnbnn. What is prob of sequence bbn?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 7*b - 6*b + 2*d, -2*b + 21*d = 38 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/(42\/70)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263695 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 338?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2183*j**4 + 53*j**3 - 2185*j**4 + j**2 - 53*j**3 + 5*j**2 + 259*j to o*j**2 + a*j + t + w*j**4 + q*j**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {f: 7, t: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*q = 3*g + 145, 0 = 3*q. Which is greater: -31 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4604 + 4609. What is the third smallest value in -6, -4, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663471229 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3341*q - 1870938. What is b(-560)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 13*q**2 - 19*q + 54. Let n be t(14). Let s = n + 16. Is s at most as big as 1\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.191705 decades?\nAnswer: 0.08191705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 16 + 4)*(-m**4 - m + m) + (2*m**2 + 2*m**2 - 2*m**2)*(5*m**2 - 5*m**2 - m**2) + m**4 + 4*m**4 - m**4.\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17152255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 2*v - 1. Let i be 57\/(-30) - (-16)\/(-160). Give m(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 110. Let m be z(-25). Let c be (-22)\/(-165) + 118\/m. Suppose 2*n + 5*k + 13 = 0, 6 + 10 = n - 5*k. Solve 3*p = c + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 9*z**2 + 4*z - 3. Let x(s) = 7*s**3 + 19*s**2 - 9*s + 6. Let n(q) = -5*o(q) - 2*x(q). Is n(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -7.16. Let u = z + -6.6. Which is the closest to -3? (a) u (b) 1\/8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5950 divided by -850\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 309*o**2 + o + 4. Let b be j(2). Suppose -i = -10*i + b. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/14 + 15\/35. Suppose 5*g = 2*m + 3 - 11, 3*m = -g + 12. Suppose -2*k = 3*k + 10, g = -n*x + 2*k - 4. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 1 - -9) + (13 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) -0.13 (c) -84 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 96?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 6. Suppose 8 = -12*s + 90 - 22. Solve 3*d = -s*n + n + 10, i*n + 5*d = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 2*v**3 - 5*v**3)*(-1 + 1 - 2*v) + (17*v**3 - 32*v**3 + 20*v**3 - 2*v + 5*v**2)*(v + v - 4*v).\nAnswer: 2*v**4 - 10*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)*i*i*i*i\/(i\/(i*i*i**(12\/11))*i*i)*i)**(14\/9) assuming i is positive.\nAnswer: i**(-1526\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 40 = 4*t, 9*t - 25 = -3*w - 49 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-34)\/6)\/(1\/(-3)). Let b = 208 - 196. Let f = b + p. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 32. Let o be u(-3). Which is smaller: 4\/97 or o?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 970*v - 2896. Give f(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*l + 5*l - 25 = 0, 4*j - 9 = -3*l. Suppose -3*m = 3*w + 27, w = 7*m - 2*m + 21. Let k = m + j. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3987028*h. Let k(p) = 3*p**2. Calculate v(k(b)).\nAnswer: 11961084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7531 is divided by 311.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -567*f + 201*f + f**3 - 4*f**2 + 4*f**2 to the form o*f**2 + z + r*f**3 + a*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.2 - -18.82. Let u = t - -20.08. Round u to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117867*r**2 - 78725 with respect to r.\nAnswer: -235734*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:46 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*l**3 + 15 + 62*l**3 - 15.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t + 4*z + 2, t + z = -3. Let h be (-1*t\/3)\/2. Suppose -5*m + 89 + 46 = h. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938326 divided by 43?\nAnswer: 938326\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 2*u + 2. Let n be z(-2). Suppose -4*x + 2 = -x - r, 0 = n*x + 4*r - 20. Calculate the smallest common multiple of (x - 1)\/((-2)\/(-12)) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 730 = -5*r + 1860, 0 = -4*p + 20. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 39*a + 521. Let z(f) = -85*f - 1042. Give 13*m(l) + 6*z(l).\nAnswer: -3*l + 521","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - 3*i**3 + 7*i**3)*(2*i + 5*i - 5*i + 1) - 2*i**4 + i**3 + 186*i**2 + 630 - 187*i**2 - 527 as k*i + t*i**4 + h*i**3 + c*i**2 + x and give x.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 108*y + 0 - 697*y.\nAnswer: -805*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1485481, 1485487, 1485505, 1485541, 1485601, 1485691?\nAnswer: 1485817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902*g - 412*g - 249*g + 242*g - 140*g to j + r*g and give r.\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 - 4*z**3\/3 - 2*z**2 + 1. Calculate d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -218089*r**2\/9 + 36254144*r\/3 - 1506681856 = 0.\nAnswer: 116448\/467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (390\/(-25))\/(-1 + (-24)\/(-20)). Is g <= -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -76*n - 1. Let d be v(1). Let l = d + 116. Let x = -25 + l. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-4) - -1)\/29. Is -1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 2, 5, 40, -1, 1 in ascending order.\nAnswer: -40, -1, 1, 2, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 5*w + 4*w + 5*w. Let o(i) = i - 5. Let l(z) = z - 6. Let k(x) = 4*l(x) - 5*o(x). Let d(r) = -3*k(r) + p(r). Give d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1)\/sqrt(8)*5*2*3 + ((3*sqrt(912) + sqrt(57))\/(-5*(sqrt(3) - (sqrt(3) - sqrt(3)*-1))))**2.\nAnswer: 3211\/25 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254987785 or -509975567\/2?\nAnswer: -254987785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 32. Determine d(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**2 + 7*o + 5. Let k = 15 - 18. Let d = k + 18. Suppose 0 = -h + d - 22. Let g(w) = -16*w**2 - 10*w - 7. Determine h*y(m) - 5*g(m).\nAnswer: 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((sqrt(18)\/sqrt(3)*-4)\/sqrt(2) + -1*(sqrt(3) + 1)*4).\nAnswer: -8*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from fnrfddnfrfdfndndddd?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 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: Simplify ((sqrt(228) + (sqrt(228)*1*5 - sqrt(228)) + sqrt(228))*-3*-2)\/((sqrt(24) + sqrt(24) + sqrt(192)\/(sqrt(8)*2))\/(sqrt(200)*2 - sqrt(2))).\nAnswer: 1368*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 - -177. Which is the nearest to 1? (a) u (b) 45 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + x - 16 = -14*y, 2*y = x + 8. Suppose 5*s = -y*g + 25, 29*s - 30*s + 5 = -4*g. Solve -5*t + t - 8 = g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 + (-10 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1, -1\/3, 5, 1, -11.2 in increasing order.\nAnswer: -11.2, -1, -1\/3, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxmxlujxlxxmx. Give prob of picking 1 m and 1 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644530*b**2 - 322243*b**2 - 322258*b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9314 in -0.3, 0.5, 6, 0.4, -2, -4.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3 - -4) + -4)\/(-1). Suppose -52 = -5*t + r. Find the first derivative of -4 + 7 - t*u**3 + 2 + 3*u**3 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, t: 5}. Give prob of sequence rrr.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e + -a?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (162\/144)\/(6\/(-8)). Let u = -19 + 58\/3. What is the second smallest value in t, u, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(3 + sqrt(192)) + sqrt(192)) - (6*(2*sqrt(192))**2 + 6*(sqrt(192) + sqrt(192)*-2)))*-3.\nAnswer: -432*sqrt(3) + 13689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0\/2 - -3). Suppose -3*t = -2*l + l + 4, l = -t + 4. Suppose -l*x = a - 19. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15)*(-40)\/144?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22337486 is divided by 255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*6.14.\nAnswer: 147.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*k + 12, -4*u + 3*k - 2 + 25 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 5*z**2 - z + 2. Let h be x(-3). Let i(j) = 7*j + 3*j + 7*j - h*j. Let l(o) = -9*o. What is l(i(u))?\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-20 + 9 - -22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 768.6 + -769. What is the third smallest value in -1\/6, a, -0.3, 25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0, 12368, -0.08, 0.4, 3?\nAnswer: 12368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 0*x - 2*x**2 + (-x + 3*x + 0*x)*(-x + 3*x - 4*x) - 10*x + 10*x - 5*x**2 - 3*x**2 + 3*x**2 - 2*x**2 to k*x**2 + w + n*x and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-27) + (-1)\/(-3). Is 3421\/(-22)*(r + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26102 + 2.73898. Which is the closest to 2? (a) 23 (b) -2.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 + 8*b - 5. Suppose 5*p - 4*r - 22 = 0, 4*p - 4 = 2*p + 4*r. Let x be n(p). Let l = x - 7. Is 1\/2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u - 3. Let s be i(-2). Suppose -14 = 12*w - s*w. Solve 0 = 2*k - 2*d + 2, 2*d = -w*k - d + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23*(-6)\/(-8)*(-12 - -4). Let p = -75 - o. What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13152 - -1045223?\nAnswer: 1032031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(32))**2 + 5.\nAnswer: -32*sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 + 38203*o**2 + 305627*o\/4 + 76407\/2 = 0. What is o?\nAnswer: -1, 152814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 548. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2 - 38196*g - 26039726 = 0.\nAnswer: -659, 19757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 47*f**2 - 84423*f - 84415*f + 168838*f. Let s(b) = -152*b**2. Calculate y(s(h)).\nAnswer: 1085888*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = d. Let c = d + 7. Suppose -u = u. Solve c = 2*q - u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 38252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**7\/210 + q**6\/15 + 2*q**5\/5 - 4*q**4\/3 - 40*q**3\/3 - 2*q**2 - 1153. Determine b so that n(b) = 0.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178000000 to the nearest 1000000.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 371 + 99 = 0. Is 758\/i - 5\/((-20)\/(-3)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 157*h + 7. Let u be r(-5). Let i = u + 1433. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47215936*m**2 + 5654*m + 383?\nAnswer: 94431872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p**2 + 6*p**2 - 61*p**2 + 5*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 293 = 158 + 151. Suppose -2*i = 5*m - 6, 7*i = 2*i - 10. Solve h + r - 6 = 3*r, m*h - 4 = -y*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from kwupwknkupwpe.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166*i**2*u**2 + 91*i**2 + 70642*u**2 wrt i.\nAnswer: 332*i*u**2 + 182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348391 = 4*u - 0*o + 3*o, -174209 = 2*u - 3*o. Round u to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-339)\/(-15) + 2\/5. Suppose s*f = 17*f + 36. Solve -2 = -4*t + f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1233945 and 91\/274210.\nAnswer: 2467890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35048 + 23521. Let t be 1036795\/90 + 1\/3. Let s = u + t. What is the common denominator of s and -65\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 10*h - 39. Suppose 0 = 5*l + 3*d - 0*d - 18, 14 = -l - h*d. Solve 10 = 4*u + l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njntqqvtqnfqnvq. Give prob of sequence qt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -789, -797, -819, -861, -929, -1029, -1167, -1349?\n\"Answer: -s**3 - s**2 + 2*s - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 452\/12. Let l = -26 + i. Suppose l = 2*f - 626. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -2, 54, -7, 4, -3 in descending order.\nAnswer: 54, 4, -2, -3, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3756 and 19\/20032.\nAnswer: 60096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5 - 21) + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -780. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43412 - 43411.7. What is the nearest to 2\/3 in r, -2.196, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*1)\/(1 - 0). Suppose -6*f + 2*f + 4*t = 28, -f - 17 = -3*t. Let h be 11\/2 - o\/f. Solve -h*r + m = 20, 16 = -4*r - 5*m - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12226 + 12224. What is the closest to 1\/2 in 4\/5, -4, 1, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -671, -646, -601, -530, -427?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1438 * -0.5\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91879594 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4775 = 2*h - 0*h, 4*h - 9565 = 3*r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5027211 and 200088.\nAnswer: 40217688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 24616.\nAnswer: 1\/6154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let x be m(3). Suppose j - 10 = -x*j. Suppose 4*v + w = 56, 8 = 4*w - 6*w. Solve -j*u = u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717, -584, -359, -36, 391, 928, 1581, 2356?\nAnswer: 3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 3*b = 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/3)*o*o)\/o**5*(o\/(o*o**(-1)*o))**(-13)*((o*o\/((o*o**6)\/o*o)*o)\/(o\/o**(-5)))**(2\/9) assuming o is positive.\nAnswer: o**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 4*l. Let x(m) = 6*m**2 + 5*m. Let r(u) = -4*q(u) - 3*x(u). Let p be r(0). Suppose p = -5*b - 4 - 6. Which is greater: b or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 4\/9*y - 2\/45*y**5 - 3 + 2\/9*y**3 - 1\/18*y**4 + 5\/9*y**2. Determine f so that k(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(20*-1)*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggbf when four letters picked without replacement from gggfgftbtbbtgabgg.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111010?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -20*b - 10*b**2 + 12*b**2 + 28*b**2 + 21*b. Suppose -4*w - 1 = 3. Let o be c(w). Solve -j = 4*x - 30 + 11, 5*x + 3*j = o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 54989\nAnswer: 7\/54989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -115. What are the prime factors of (g + -6)\/(-4)*95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3920180, 3920178, 3920176, 3920174, 3920172?\nAnswer: 3920170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 187 and 18046\/97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:01 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = 5*y. Let d be (2 - 3\/y) + 3. Solve 5*u - 5*i - 50 = 0, -2*u - 5*i = -d*u + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687050489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5022 and 1296.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13252087 is divided by 1019390?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1216 - -2101. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v - 33. Let w(b) = b - 2. Let u(t) = 66*w(t) - 4*y(t). Let z(i) = -i**2. What is u(z(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26404 and 112?\nAnswer: 105616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {j: 2, c: 12, h: 3}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*g + 11 = 0, -k - g - 1 = 3*g. Solve 22*b + 95 = k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4 (c) 1\/19 (d) 1 (e) 1\/4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.613, -2, -0.5, -5, 2 in decreasing order.\nAnswer: 2, -0.5, -0.613, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 613*o - 144*o + 713*o + 41370 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a - 3*t + 36 = 16 + 26, -16*a = t - 66 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2)*(-6)\/(-9). Suppose -t*r = -r - 10. Suppose 5*o + 4 = 3*b - 0, 0 = -4*o - 2*b + 10. Sort o, 4, r.\nAnswer: o, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484737544.\nAnswer: 2, 659, 281627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*v - 815, -4*v + 8*v - 643 = -z. Suppose m + v = 6*m. Calculate the remainder when m is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129235678*w**3 + 146748052*w?\nAnswer: -775414068*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55172931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -210, -217, -224?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/4*(3 - 1). Suppose -v = v - 2*u - 44, 60 = 5*v + m*u. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(3\/2)*f*f)\/f*f*f\/(f\/f**(2\/11)))\/((f*f**8\/f)\/((f**(-3)*f)\/f)))\/(f**(-4)\/f**(1\/19))**(-24) assuming f is positive.\nAnswer: f**(-42879\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 11. Suppose 0 = -8*t + 4*t + 2*l - 38, 0 = 2*t - 2*l + 24. Let d be j(t). Let s = 8.8 + -9. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -33 - -1 - (-41 - -50)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6790*u. Let y(k) = 3*k. Calculate i(y(m)).\nAnswer: 20370*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-15))\/((-95)\/(-23525)). Let m = -198 - v. Sort 0.3, m, 3.\nAnswer: m, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92710340 rounded to the nearest 1000000?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210424?\nAnswer: 2, 151303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 10 + 12)*(1 - 1 + 1)*(1 - 1 + 2)*(1 - 1 + 3*g)*(0*g**2 + 2*g**2 + 0*g**2).\nAnswer: -288*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddbbbd. Give prob of picking 1 d and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34570 and 55312?\nAnswer: 276560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2611, -5481, -8609, -11995, -15639, -19541, -23701?\n\"Answer: -129*d**2 - 2483*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (216\/90)\/(4\/10). Let m = r - 1. Suppose 4*h + 0*k + m*k - 466 = 0, -347 = -3*h - 5*k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*k + 374 = 0, 4*t + 3*k - 1185 = -437. Let l be (0 + 2)\/((-5)\/(-10)). Suppose 5*q = l*q + t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30074 at least 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34866 divided by 2?\nAnswer: -17433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 10, 5, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - s**2 + 2*s**3 + 4*s**2 - 4*s**2.\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/5, -0.4, -12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191404 is divided by 19139.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48580.12 years?\nAnswer: 485.8012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 563*w + 48*w**2 - 1875*w - 51*w**2 in the form b*w**2 + l*w + g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42669*-2.\nAnswer: -0.85338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*o + 22665 = 0, 15*s - 12*s + 4*o - 16990 = 0. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q + 3\/2*q**4 - 3*q**3 - 3\/2 + 0*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*q + 1 - 23, a + 5 = 0. Let w be 2\/(-5) - 21\/(-15). Let f(p) = p + 5*p - 3*p + w. Calculate f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12623 is divided by 841.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125566769 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15 - (134739\/(-13376) + -5) and -125\/48?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 11\/15, -4, -20 in increasing order.\nAnswer: -20, -4, -0.5, 11\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12447176 < 12447218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10926609 to the power of 1\/2, to the nearest integer?\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6274.394 weeks?\nAnswer: 3794753491200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/513, -42906 in ascending order.\nAnswer: -42906, 1\/513, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from zzx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-728)\/(-16)) + 0\/(-1). What is the closest to x in -2\/9, 0.4, 0.1, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 756*0.10331\nAnswer: 78.10236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = 4*c, 0 = 3*c - 5*x + 1 - 10. Differentiate 3 - c + 1 + 2 - 3*z wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9630 rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -3. What is the units digit of ((-3)\/2)\/(f\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(6\/11))**(2\/73)*(g\/(g**(-12)*g))\/g*g\/((g*g*g*g**(-1\/35)*g*g*g*g*g)\/g))**45 assuming g is positive.\nAnswer: g**(1275102\/5621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -132, 0, -15, -2\/15, -2\/17?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -374826609*q - 330116727 wrt q.\nAnswer: -374826609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*u - 42*u + 9114 = 0. Suppose -5*b - 300 = -0*b. Is u >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4346 - -19?\nAnswer: -432a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2984333065 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 1 + 0 - 1 + 3 + (-2 + 4 - 3)*(4 - 6 + 3) + 1 + 3 - 2)*(0*j - 370*j**2 + 378*j**2 - 8*j) to the form m*j + d*j**2 + h and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 18*j + 23. Let s be a(-16). Suppose 0 = -10*u - 2599 + s. Let w = -71 - u. List the prime factors of w.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*o**2 - 69*o**2 - o**3 + 225*o**2 - 34*o**3.\nAnswer: -5*o**2*(7*o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 8, e: 4}. What is prob of picking 1 e, 1 h, and 1 p?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137\/3 - -48. Sort r, -0.3, -5 in descending order.\nAnswer: r, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (301 + -298)\/(1*2 - 45\/25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92384189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/45 - (-18)\/20. Let r be 4*-1*5\/10. What is the nearest to r in 0.4, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 13\/((-65)\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -12. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046250961 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 8*c + 7. Let r be n(-7). Suppose r*x + 5*h - 60 = 5*x, -2*h + 51 = -5*x. Let w(f) = 6*f**2 + 12*f - 5. Is w(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - 141)\/(-4) + 48\/4 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 - n**2 - n + 1. Let c be d(1). Factor 28*w**3 + 4*w**2 - 7*w**5 - 7*w**4 + 3*w**5 - 24*w**3 + 3*w**c.\nAnswer: -4*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 0*v**2 + 4*v**2)*(13*v**2 + 12*v**2 + 20*v**2).\nAnswer: 135*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4682278630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 306, 455, 602, 747, 890?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 774*h - 1075*h + 3612 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9*m - 600. Let j = m - -152. Solve 0 = -2*s - j*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 8*i - 4 = 4*x, 5*x - 7 = 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*h, 1 = -4*d - 2*h + 7*h. Let i be (d\/2)\/(((-225)\/(-42))\/15). What is the biggest value in 4, 2, 3\/2, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 1692*f + 632872.\nAnswer: -4*(f - 239)*(f + 662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v = -54*v + 24. Solve 2*n + f - 4*f - 12 = 0, -2*f - 8 = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 4079230*j + 832005869645.\nAnswer: 5*(j - 407923)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4774184 - -157526360\/33. Let l = -658 - p. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/290808 and -169\/8640?\nAnswer: 34896960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1060, 1070, 1070, 1054, 1016, 950?\n\"Answer: -y**3 + y**2 + 14*y + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84\/13 in 35, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -240*j**3 + 2*j**2 + 5*j - 9. Let t be s(5). Is ((-3)\/(-9))\/(3\/t*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-6))\/(-2 + 1 + -2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -82*i - 4. Let y(k) = -165*k - 9. Give 9*q(z) - 4*y(z).\nAnswer: -78*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 695 - 719, 4*l = 5*t - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -50?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1376 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-24))\/(10\/(-15))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x. Let c(t) = -2*t. Let k(p) be the second derivative of 5*p**3\/6 - p. Let i = 8 - 4. Let m(r) = i*k(r) + 11*c(r). Give m(b(l)).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1610, -3210, -4798, -6374?\n\"Answer: 6*j**2 - 1618*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 + 8.070517312?\nAnswer: 10.370517312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10197, 40690, 91515, 162702, 254281?\n\"Answer: 5*o**3 + 10136*o**2 + 50*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52416 divided by 13.\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70350131 to three decimal places.\nAnswer: 0.704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 517*m**2 - 7*m + 25. Let s be c(5). Suppose 17*u - s = 889. List the prime factors of u.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95550576.\nAnswer: 2, 3, 11, 37, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70284*m + 70284*m + 753*m**2)*(-2*m - 4*m - 2*m) to the form p*m + b*m**2 + g*m**3 + x and give g.\nAnswer: -6024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 8, 441, 2\/5?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3*t**2 - t**2 - t**2 as z + i*t**2 + u*t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {g: 7, j: 2, n: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 21*k - 12. What is l(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 36*y - 39*y = -3, 0 = 3*r + 6*y - 27 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582554?\nAnswer: 2, 3, 263759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 + 18748087*y**3 + 144041300 with respect to y.\nAnswer: -4*y**3 + 56244261*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a + 68. Let j be k(3). Suppose -j*g = -1510 - 2844. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-1))\/(-6*(-7)\/140)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25547198997+954\nAnswer: -25547198043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:47 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-4 - (-3 - -1)). Let u(q) be the second derivative of 0 + 1\/3*q**3 - q + 0*q**d - 1\/6*q**4. Factor u(x).\nAnswer: -2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1193\/3 - 384. Is 2 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y + 12*y)*(-2 + 2 - 1)*(-y + y + y**3)*(5 - 3 - 6) to s*y + g + z*y**2 + k*y**3 + i*y**4 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/30 + 1189*y**2. Let o(g) = -3*g**2 + 19*g**2 + 14*g**2. What is o(s(w))?\nAnswer: 120*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbb when four letters picked without replacement from {b: 3, w: 4, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - l**3 + 8*l**3 + 0*l**3 + 5*l in the form n*l + j*l**3 + f + b*l**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:53 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 46*n**2 - 75*n + 159. What is d(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 7:13 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 28 + 2)*(-4*y**5 + 5*y**5 + 0*y**5 + (-4 + 1 + 2)*(y**5 - 2*y**5 + 0*y**5) - y**5 - y**5 + 4*y**5 + 2*y**5 + 2*y**4 - 2*y**4).\nAnswer: -414*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -336.1 and 0.81?\nAnswer: 336.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 1*(sqrt(7) + -1*sqrt(7))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - -4653. Let l = j + -1535. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 19*d - 38*d. Let g(r) = -7*r**2. Calculate t(g(j)).\nAnswer: 91*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*(-2515)\/2515\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6743 and 293139.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136902837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1593626\/9 + 176572. Let m = 501 + d. What is the common denominator of m and -28\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/85820623 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, 1 t, and 1 m when four letters picked without replacement from qnpomomt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/4 - 6*b**3 + 17*b**2\/2 + 1768*b. Let i(u) = -u**2. Give x(i(h)).\nAnswer: 3*h**4 + 36*h**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.29\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 + x**2\/2 - 236*x. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 52 = -4*z, 0 = 2*z - 4*z + w - 32. Let d(o) = 2*o + 38. Let v be d(z). Suppose n = 3*g - 1 - 2, 0 = -4*n. Solve -2*f - 2*p = -3 - g, v = 5*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26208 is divided by 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81291401461 plus 0.6?\nAnswer: 81291401461.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - t + (-3*t + 2*t + 3*t)*(2 + 1 - 2) + 0*t + t + t - 5*t + 4*t - t + (0 - 2 - 9)*(2*t - 2*t + 2*t).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56531720 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26900000 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (99 + (-5 - 5 - 11))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*z = 20, -32*b + 35*b + 2*z - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*q - 11*q + 10*q - 34*q)*(0*q**3 - q**3 + 0*q**3).\nAnswer: 71*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/(5\/(-10)). Let w(a) = a + 1 + 34*a**2 - 18*a**2 - 17*a**2. What is w(u)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4 - 4*m**3 + 9*m**2\/2 - 2*m - 1. Factor d(x).\nAnswer: (x - 2)*(2*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1, 0.5, -0.3, 1\/4, -0.0007?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1941 = -v. Let n = -352 + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 9*n + 2. Let h(y) = -2*y**2 - 8*y + 2. Determine -2*h(r) + 3*z(r).\nAnswer: -2*r**2 - 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**5\/4 - 3*t**4\/4 + 11*t**3\/12 + 3*t**2\/4 - 27. Let v(z) = 0. Calculate z.\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 73. Suppose -k*o - 20 = -15*o. Suppose g - 4*g = o*g. Which is the closest to 1? (a) -3 (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*o - 18 = f, o + 11 = 4*f. Suppose -15 = -3*w - 2*w, -3*w = -f*z - 19. Let n = 7 + z. Solve -4*c - n*l + 5*l = 10, -3*c - l - 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068 and 444288?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 184, 356, 638, 1024, 1508, 2084?\n\"Answer: -z**3 + 61*z**2 - 4*z + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21677, -43340, -65001, -86660, -108317, -129972?\n\"Answer: p**2 - 21666*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i*q**3 + 213*i*q + 1524383*i + 55*q**2 wrt q?\nAnswer: -21*i*q**2 + 213*i + 110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/12 + r**3 - 5*r**2. Let p(g) = -2*g - 5. Give -4*m(h) - 5*p(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. What is the nearest to -2 in -1\/5, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 3) to base 6\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-2\/17))\/f))**(1\/24)\/((f\/(f**(3\/7)\/f))\/(f*f*f\/((f\/f**(5\/2))\/f)*f*f)) assuming f is positive.\nAnswer: f**(17065\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.12 - -40?\nAnswer: 48.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -958 - -957.12. Which is the third biggest value? (a) 4 (b) -2\/7 (c) u (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 24 = -4*x, -4*r + x = -4*x + 21. Is (r\/5)\/(14\/(-385)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -6, -16, -42, -90, -166, -276, -426?\n\"Answer: -v**3 + v**2 + 4*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 7 (c) 2\/17 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j + 6*j - j + 42 - 46*j**2 + 0*j wrt j?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 108 and 5532.784?\nAnswer: 5424.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12331141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let v = u + 4. Let i = -7 + 8. Which is the third smallest value? (a) v (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-7992))\/(295\/(-10620))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(180) + sqrt(180) + -3)**2 - ((sqrt(20)\/(-2*sqrt(4) - sqrt(4)))**2 + sqrt(90)\/sqrt(2)).\nAnswer: 69*sqrt(5) + 3397\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 2. Let a(y) be the first derivative of -y**2 - y - 2. Suppose -c = -3*c - 4. What is c*x(f) - 5*a(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1241, -9835, -33155, -78563, -153421, -265091?\n\"Answer: -1227*o**3 - o**2 - 2*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866581846.\nAnswer: 2, 37, 25224079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1509256770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678077378.\nAnswer: 2, 3, 17, 19, 23, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.66 + 0.02. Let j = o - 0.26. Round j to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 51.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 4611.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106.2 - 104.5. What is the nearest to -1 in u, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 7, 0.3, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 0.3, 325385?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -39. Let q(j) = -7*j + 5. Let g be q(4). Let u = g - x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540 + 290 = 25*o - 0*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.142686 and -12.93.\nAnswer: -13.072686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162355 divided by -1.\nAnswer: -162355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6 + 2*h**4 + 1509*h**3 - 66389*h**2 wrt h?\nAnswer: -240*h**3 + 48*h + 9054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 5580 + 932 = 0. Let u = -90 + a. Suppose -2*w + 91 = -3*n, 2*w + 4*n - 94 = -w. Calculate the highest common divisor of w and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97684.6 millilitres?\nAnswer: 97.6846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 - -0.71. Let u be (-18)\/16*6\/(-9). Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + u**2 - 4 + 2*u - 3*u. Let a be (-3)\/(-2)*(4 + -6). Determine r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -3.6. Put 5, c, -0.1 in increasing order.\nAnswer: c, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -615941452186 and -0.2343.\nAnswer: -615941452186.2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3744, 227, 5 in decreasing order.\nAnswer: 227, 5, -1, -2, -3744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428790.1mg to kilograms.\nAnswer: 0.4287901","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let r(y) = 4*y + 3. Calculate r(h) - 6*u(h).\nAnswer: -2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*h - 9, 0 = -41*x + 37*x - 4*h - 8. Let y(w) = -w**2 + w - 1. Let v(d) = -d**3 + 3*d**2 - 14*d + 3. What is x*y(j) - v(j)?\nAnswer: j**3 + 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.929 nanometers in kilometers?\nAnswer: 0.000000000557929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -58*p**2 - 100*p + 9. Determine n(-3).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 307. Let p = d - -52. Let v = p + 93.9852. What is v rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from rrsiisiiiiririr.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/1960*-14*1*14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 2*g + 4. Suppose 2*s = 3 + 9. Let j be q(s). Solve 2*w - j = -4*d, 4*w + w + 5*d = 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8147*o + 8152*o + 30 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 648.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -61047*j**3 + 4*j**2 + 24*j - 58. Let s be h(2). What is s rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1535 + 1533. Let l = 9 - 12.3. Let j = -3 - l. Which is the smallest value? (a) q (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.9 - -11. Let g = -36133\/8 + 4509. Let c = 55\/8 + g. What is the nearest to 0 in n, 2, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80578751 is divided by 427.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4047683 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271957589 to the power of 1\/3, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*4)\/(3*sqrt(144)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n - 2. Let s be k(2). Let f be 1\/(-2*3\/s). List the prime factors of f*(0 - -2)*-1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304243 or -304254?\nAnswer: -304254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04915713 rounded to 4 decimal places?\nAnswer: 0.0492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 79*n - 8 - 15 - 5 = 83*n, 14*l + 2*n - 48 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:32 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s**2*u**3 + 789314*s**2*u**2 + 33*u**3 - 1047596*u**2 wrt s.\nAnswer: 16*s*u**3 + 1578628*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)*b)\/b**(1\/6))**8*(((b\/(((b*b**0\/b)\/b*b)\/b))\/b)\/b*b)**(-14)*b\/(b**(-5)\/b)*b*b\/((b**(-1\/2)*b)\/b*b)*b assuming b is positive.\nAnswer: b**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 216 = 9*r - 2*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3691 or 3689?\nAnswer: 3691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6686 - 2813. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*u + 652 + 206 = 265*u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -67*h**3 + 41*h**2 + 13*h - 8. What is d(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*h - 2*h = -15, 2*h + 10 = 0. Let r be v - (1 - -4*1). Let j = 154324\/17 + -9078. Put j, 5, r in decreasing order.\nAnswer: 5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 980*z**3 + 28345*z**2 - 27370*z.\nAnswer: 5*z*(z - 161)*(z - 34)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10548 and -42259729.\nAnswer: -42270277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-12))\/h)\/(h\/h**(5\/4)))**(12\/5) assuming h is positive.\nAnswer: h**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t - 68. Let l be z(-6). Let r = -31402\/157 - -200. What is the third smallest value in l, r, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1876 divided by 4.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + 29*h + 577. Let m be r(-16). Calculate the highest common factor of 194 and m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 14) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (820\/(-20))\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-28)*259\/444?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*f + 1 - 15 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 x when four letters picked without replacement from {o: 12, x: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/7)\/5)\/(2\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 16. Suppose n + t*n = -70. Let g = 23 + n. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342771.\nAnswer: 3, 11, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-14)*(128\/1440)\/((-4)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2386652133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 32. Let x(p) = 7*p**2 - 1. Let t be x(-1). What is the first derivative of 7 + 7*r**4 - t + r**l wrt r?\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1000 + 253. Let y = -1056 - a. Let j = y + 311.01. What is j rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.073 + -3.027. Let z = 1.1 + 0. Let y = q + z. Is y at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 76 = -13*t. Solve 0 = 3*d + t*j - 14, -2*d = -6*j + 2*j + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -383*w**4 - 16*w**2 + 18*w.\nAnswer: -9192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44317227?\nAnswer: 3, 14772409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/19702797?\nAnswer: 20\/19702797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017596625 rounded to 6 dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 34*g**5\/9 - 2238956*g**4\/9 + 4095233436*g**3 + 86731166800*g**2\/9 + 62882074834*g\/9 + 4336749316\/3 = 0.\nAnswer: -1, -6\/17, 32927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 381394.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 2*a)*(78*a**2 - 34*a**2 + 66*a**2).\nAnswer: -110*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (55 - 0\/1)\/1.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 5*l - 13. What is f(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*z - 130*z - 39*z + 432*z - 131*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 803354706 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/311 + 4098\/3421. Find the common denominator of (2\/8)\/(5\/(-214)) and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 9*f**2 - f - 1. Let h be n(-9). Solve -h = 2*g + 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 596 - 137 = 0. Suppose t*z - 22*z = 20. Find the first derivative of 2*c**4 + 5 + 4 + 33*c**z wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlolkdolwwlldww. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {y: 1, m: 1, c: 1, t: 2, g: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 - (-25 + 4). Let l = 7 - 5. What is the units digit of l\/(-11) + 114\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1606?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9798*s + 235094. Calculate b(-24).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31181 is divided by 487.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878 and 3512?\nAnswer: 3512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.94048 microseconds in nanoseconds?\nAnswer: 9940.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/60 + d**4\/8 - 4*d**3\/3 - 7*d**2. Calculate the least common multiple of 4 and z(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1\/2, -64, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n - 7*n + (-1 + 3 + 1)*(5*n - 4*n - 2*n))*(-n**3 + 143*n**2 + 227 - 438 + 209) to the form j*n**3 + i*n**4 + w + f*n**2 + g*n and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 3*a - 1. Determine u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 99820.444 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 1 (c) -59 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1370 divided by -2\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 8*a - 2. Let x be t(-3). What is the nearest to 1 in 0.2, x, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5415, -6, -1, -0.4 in descending order.\nAnswer: 5415, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92804706 to the power of 1\/2, to the nearest integer?\nAnswer: 9634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -79. Let f be (2\/i)\/((320\/30)\/16). Let n = 0.1 - -0.9. Which is the third biggest value? (a) n (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w + 10. Let y be q(-3). Let p = 106 + y. Suppose -4*c = -4*n + p + 37, 2*n - 39 = -c. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54868)\/3654 - 3\/(-189)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -55, -52, -49, -46?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1.1, 18, -3\/4, -3\/19 in ascending order.\nAnswer: -3\/4, -3\/19, -2\/15, 1.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -5*g + 4, 6 = -2*v. Let z be -2 + 0 + 3 + g. Suppose 0 = -2*w + 4*m + 2, 3*m = 2*w - z*m - 3. Solve -w*n - n - 15 = -3*f, 4*n = -f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(1\/36)*(d*d*d\/(d\/d**2)*d)**(-42) assuming d is positive.\nAnswer: d**(-26459\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2761 + 2761. Factor 0*g + w - 3\/4*g**2 + 3\/4*g**3.\nAnswer: 3*g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1800)*1)\/sqrt(9)*3)**2 + (sqrt(72)\/sqrt(3)*3)\/((sqrt(108) - sqrt(108)*-2)\/sqrt(9)))*5.\nAnswer: 5*sqrt(2) + 9000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let g(x) be the first derivative of -x**4\/4 + x**3\/3 - x**2 + 4*x - 7. Let w be g(0). Is y bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 13. Which is the closest to 2? (a) i (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 742, 745, 748, 751, 754, 757?\n\"Answer: 3*d + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114 = 2*l + 8*q - 12*q, -4*l + 4*q = -2232. List the prime factors of l.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*f + 3 + 17 = 0, f = -2*t + 10. Suppose -t - 3 = -2*i. Let v(q) = q - 1. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d + 3 = 0. Suppose -5*w = -r + 105, -d*w + 5*r - 78 = 7. Let s(j) = -j**2 - 22*j - 18. Is 11 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 8*g + 4. What is the remainder when 6 is divided by d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n - 77 = -110*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (0 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 2, p: 11, u: 1, s: 4, c: 1}. What is prob of picking 1 s, 1 c, 1 x, and 1 p?\nAnswer: 44\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/14 + 15 + 1. Suppose 0 = 4*i - 5*i + 4. Let f(c) = -c**3 - 7*c**2 + 8*c. Let z be f(-8). Solve z = -i*b + 3*d + 5 - k, d = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23500 + -23489. Solve 72 + 5 = r*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30870.2*-1.\nAnswer: -30870.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253861.\nAnswer: 17, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/35 and -22\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 101. Suppose 0 = -2*k + 5 + 13. Suppose 11*g - k*g = 46. Calculate the remainder when g is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + s + 2. Let d be 0 - (0 + 2) - 0. Let a be c(d). Suppose -v - a = -5*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (11 - 41) - 32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, -211, -568, -945, -1348, -1783?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a - 24. Let f(z) = 4*z + 9. Let b(j) = 8*f(j) + 3*p(j). Let o(g) = 2*g**2 - 70*g. Give o(b(w)).\nAnswer: 8*w**2 - 140*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 20 = -12*b, -12*b + 15*b + 29*f = -290 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 92. Let i be (-77)\/a + 1\/4. Suppose -i = -8*m + 85. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45248)\/(-1512) + -61 + (-2)\/(-27).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1373, -10984, -37093, -87956, -171829, -296968, -471629?\nAnswer: -704068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130216608*b**6 + 64540703*b**2.\nAnswer: 15625992960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-7) - -4 - (-120)\/(-21). Let y(q) = q**3 + 6*q**2 - 2. Give y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455806633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -40856.8964 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 77086.06m?\nAnswer: 77.08606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781189?\nAnswer: 23, 43, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:53 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923041 is divided by 531.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + c = -2, -2*c + c - 8 = -2*o. Let z(m) = -2*m. Let y be z(o). Let a = -294\/5 + 59. Sort 0.5, a, y.\nAnswer: y, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 37*p. Let x(i) = 637*i**2 - 322*i**2 - 327*i**2. What is w(x(h))?\nAnswer: -444*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 6*j - 2*j, 5*j - 35 = -5*k. Suppose 2*l = j*l - 12. Calculate the smallest common multiple of 14 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-11*s - 23*s + 6*s).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -18, -0.078?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6470.315171 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(450\/(-558985)) - (-7 - (-107)\/15).\nAnswer: 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m = 120*m - 415, -4*g + 5*m - 78 = 3*m for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 0.6. Let p = w - 3. Let s = 0.3 - 0.2. Put p, s, -4 in descending order.\nAnswer: s, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -22*k + 0 + 2 - 11 + 23*k. Let s(l) = 1. What is g(p) + 6*s(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -959 - 938 + 1730 - 32*r**3 + (-2*r - 2 + 2)*(r**2 + 1 - 1) + 4*r**3 + 0*r**3 - r**3 to the form k + b*r**3 + n*r + w*r**2 and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eej when three letters picked without replacement from jejjjeeqqjejjqqe.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 0.16.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017783 is divided by 1017228.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74.94487 and -5.\nAnswer: -374.72435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**2 - 22*u + 44. Let j be v(3). Let q = 407 - 282. Calculate the greatest common divisor of j and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by (180\/50)\/((-1)\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-27))\/((-2)\/17 - 9000\/(-11475))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -0.2. Let v = j - -0.7. Let r = -0.38 + 3.38. Sort -0.5, v, r in descending order.\nAnswer: r, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417427989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12868*g**3*p**3 - 4758*g**3*p**2 + 49770*g**2*p - 174*p**3 wrt g?\nAnswer: 77208*p**3 - 28548*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34986066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -201.5 and -0.5.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 1, f: 3, i: 1, t: 2}. Give prob of picking 1 o and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (295\/(-708))\/((-10)\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 4*f + 1955 = 0. Let k = f + -346\/3. Let x = 1 + -2. Which is the closest to 2? (a) 2\/23 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*n**4 - 9*n**5 + 10*n**3 - 8*n**3 + 10*n**4 - 8*n**3.\nAnswer: -3*n**3*(n - 2)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 73*o - 93 = 41*o. Let q(b) = -5*b + 1. Let w be q(-2). Suppose -2*g + 18 + 22 = 0. Solve o*i = -5*l - i - w, -5*i - g = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/12)\/((-34923)\/2015556)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 52. Let i = -2835 - -2890. Calculate the remainder when i is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/((-21)\/9 + 1). Let q = 5 - a. Is (-1 + q)\/(2\/(-36)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*h + 5*w, 0 = 3*h + 108*w - 111*w - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqqqkrqrrppqrqp. What is prob of sequence qqr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -27*q. Let s(k) = 13*k. Let r(i) = 4*o(i) + 9*s(i). Let m(t) = -t**2 + 0*t**2 - t**2. Calculate m(r(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**6\/3 - 112*p**5\/5 + 132*p**4 + 3584*p**3\/3 + 2048*p**2 - 111. Let w(y) = 0. What is y?\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80045137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 minus 54282?\nAnswer: -54089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/9 (c) -14 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*u**4 + 1260*u**3 + 636*u**2 - 288*u = 0. What is u?\nAnswer: -8, -6\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 1. Let i(a) = -2*a + 28. Let d be i(12). Suppose w + w = 4*c + 22, -2*c = -d*w + 14. Calculate z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(2\/3)*u)))\/u)**(2\/67)\/(u*u*u**(-2)*u*u**(-9)*u) assuming u is positive.\nAnswer: u**(1417\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*n = n - 1268, -3*n - 3792 = -3*o. Suppose g - o = -8*g. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22569*g + 45422*g - 4 - 22844*g.\nAnswer: 9*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22.93341088 from -746.04.\nAnswer: -723.10658912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -44436.\nAnswer: -44438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4585833370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + y**3 + 2)*(152 + 598 - 211)*(4 - 2 - 1) to i + f*y**2 + g*y + r*y**3 and give r.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80295)\/530 + 151)\/(2\/536)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 4. Suppose -3*n - 9*n = 3456. Let k = n - -283. Let l(w) = 4*w - 3. Determine k*i(f) + 6*l(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**3 - 8*k**2 - 7*k + 2. Let j(f) = -9*f**3 - 9*f**2 - 8*f + 3. Let r = -7 + 3. Let c(m) = r*j(m) + 5*i(m). Is c(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4397*t + 0 - 7029*t + 7466*t in the form y + d*t and give d.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -210120 (base 4) to base 16\nAnswer: -918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 19)*6\/(-90)*-5. Sort 147, x, 11 in ascending order.\nAnswer: x, 11, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039092?\nAnswer: 2, 3, 131, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145515801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/3*x**3 + x**2 + 1\/2*x**4 + 20 + 39*x. What is the second derivative of w(c) wrt c?\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427167211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(891) + sqrt(891) + 4 - (sqrt(891) - -4*(1 + sqrt(891)))) + (-4*sqrt(891)*2 - sqrt(891) - (sqrt(891) - (sqrt(891) + 0 + -1))))**2.\nAnswer: -641520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225157963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 4. Let w(q) = 2*q**2 - q - 28. Let k(d) = -w(d) - y(d). Factor k(m).\nAnswer: -2*(m - 4)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 3. Let h be (j\/20)\/((-188)\/(-24)). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4864 - 157a?\nAnswer: -6222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2897836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6231 + 3131. Round w to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - (-23)\/((-897)\/(-2977)). Solve 33*h = -43*h - m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.23206835 or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3 + 0*a**2 - 8\/3*a**3 + 0*a. Determine u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u - 58 = -5*a, 42 = 5*a + 2*u. Suppose -3*d + 9 = 2*s - 0*d, 0 = -3*d + 9. Suppose 4*y - 2*y - a = s. Solve 6 = 3*k, r + y*k = 1 + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17104 - 15100. Calculate the smallest common multiple of 9 and x.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 + 1 = 0. Let c(d) = 3*d - 3. Let k(a) = 10*a - 10. Suppose -h + 4*n = 22, 4*h - 3*n = h - 48. Calculate h*c(x) + o*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.87566 - -93.82.\nAnswer: 100.69566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmlm when four letters picked without replacement from {l: 14, m: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppbgegpbopeebwoo. Give prob of sequence obpp.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -18, -46, -96, -168?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -0.37. Let v = s - -0.7. Let y = -1 + 0. Which is the nearest to v? (a) 2\/5 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000194543 rounded to 7 decimal places?\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9754 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 12\/17 (c) -0.1 (d) -40 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10602, 21211, 31866, 42591, 53410, 64347?\n\"Answer: 4*s**3 - s**2 + 10584*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 117 + 5 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/26)\/(60\/(-18))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -34311*y - 274481. Give a(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((114\/2850)\/(9\/(-5)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1441584 and 870957.\nAnswer: 41805936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - (531980\/(-70) + 4\/(-14))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -681780 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, 1 k, and 1 n when four letters picked without replacement from nkfqkhhp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 10. Suppose -2 = t - 2*t. Factor g**2 - 3*g**2 - t*g**3 - n*g**3 - 2*g**4.\nAnswer: -2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose 0 = 8*l - k*l - 190. Suppose 4*d + 10 - l = 0. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (3 + 5) - (-37 - -36) - 67.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-31 + 14)) + 6 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 8. Let c be b(-8). Let s = -3 - c. List the prime factors of 10\/6 + s\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1627749 or 1627754?\nAnswer: 1627749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59\/2 - -30. Let o = 1.6 + -2.1. Let r = 0.18 - 0.08. What is the closest to r in c, o, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22243415 is divided by 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9260, -9091, -8868, -8591, -8260, -7875?\nAnswer: -7436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000495440414 rounded to 6 dps?\nAnswer: -0.000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6*h - 4. Let w be f(-3). Suppose 4*x - 16 = 0, -x - x = -w*q + 37. Calculate the smallest common multiple of 17\/2 + (-143)\/286 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*a + 2*a. Suppose -2*q - a + 100 = 0. Suppose -2*t - 4*r = -40, -4*t - 8*r + 93 = -13*r. What is the remainder when q is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 29. Give o(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20 and -61\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**2\/5 - 968*n\/5 - 648\/5 = 0. What is n?\nAnswer: -2\/3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -118. Suppose y - 5*y = f*r - 303, r - 69 = 2*y. Solve -r*h + 58*h = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*p - 4*p. Suppose p*l - 8*l + 288 = 0. Solve -7 = 3*k + f, 0*f - 4*f = -4*k - l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 1900 - q - q**2 - 627 - 636 - 638. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625886.7321 rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16244 or -16243?\nAnswer: -16243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.273 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*a + 3 = 0, 5*a = 3*c - 4*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 68 = 5*k - 484, 4 = 2*z. What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - (2*sqrt(114)*5 + sqrt(114) - sqrt(114))) + 5*(sqrt(114) - sqrt(114)*-1))\/(sqrt(216)*-1*-6))**2.\nAnswer: 19\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -1103?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14636459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43527 + 3046943\/70. Calculate the common denominator of z and 91\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7469314 and 0.2.\nAnswer: -7469313.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73591 is divided by 8060?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**4 - m + 19\/2*m**2 - 5\/3*m**3 + 59 + 11\/5*m**5. What is the second derivative of d(b) wrt b?\nAnswer: 132*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -16 - (-263 - -258).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15243? (a) 2\/5 (b) 1\/21 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y + 352. Calculate i(34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 76 = -4*j, -13411*b = -13414*b - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 188966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Let r(c) = -7*c + 8. Let h(f) = -r(f) + 5*s(f). Let g(a) = -4 + 2 - 2 + 3. Let o(i) = -2*g(i) + h(i). Differentiate o(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -355, -5\/4, 2, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56679209.\nAnswer: 151, 375359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28485 + 46428. Round x to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scttsgtgsttsddttl. What is prob of picking 1 t, 1 d, and 1 l?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(231\/28)*7\/(182\/65)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*n, -4*n + 6 = -n + s. Find the third derivative of -2*m**2 + 2*m**2 - 2*m**n - m**2 - 3*m**3 wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 44*n**2. Let j be d(-1). Let a(b) = 2 + 2 + b + 5*b + b**2. Let r be a(-7). What is the highest common factor of j and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9494, 9581, 9734, 9959, 10262, 10649, 11126, 11699?\n\"Answer: g**3 + 27*g**2 - g + 9467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:43 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14940, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2311 - 2359 + 2*v**3 + 4670.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -5. Let x(r) = r**3 - 4*r**2 - 6*r + 5. Determine x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+-0.164\nAnswer: -10.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111913\/7 - 15988. What is the biggest value in y, -42, 29, -3, -0.4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 5*s**2 - 4*s**2 + (1 - 1 - 3*s)*(-s + 3*s + 0*s))*(22*s**3 + 13*s**3 - 6*s**3).\nAnswer: -29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 - 101541*j**4 + 860482770*j**3 - 21460718814*j**2 + 102105185067*j - 81504847485 = 0.\nAnswer: 1, 5, 19, 16911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 6 - 1 - 5*m + 1 + 7*m**2 + m**3. Let d = 262 + -256. Let s be z(d). Solve s = -6*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34a09 (base 13) to base 5\nAnswer: -11034140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 7*o + 21. Give p(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-4 - -1) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one quarters of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1738 + -1736. Let u(o) be the first derivative of 0*o - 1\/6*o**3 + 1\/16*o**4 + 0*o**k - 10. Factor u(r).\nAnswer: r**2*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/39*6\/(-4). Let n = 14 + -10. Let d be 2\/7 + (-8)\/28 + -3. Sort -1, d, p, n in increasing order.\nAnswer: d, -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, r: 1, z: 1, u: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.193 micrograms in grams?\nAnswer: 0.000321193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(5\/2) - (-5 + -669). Suppose -5*w = -1821 + r. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 2, -145256, -5, -2 in decreasing order.\nAnswer: 2, -2, -5, -75, -145256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 896, -2, 0 in decreasing order.\nAnswer: 896, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**5 + 264*c**4 - 2034*c**3 + 3892*c**2 - 2688*c + 576 = 0.\nAnswer: 2\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/10)\/(17 - 1032\/60)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9)*0\/(-2). Let v(z) = n*z**2 + 4 + 2*z**2 + 0*z**2 + 3*z - 8. Let w(d) = d**3 - 3*d**2 - 2*d + 3. Let j be w(3). Determine v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.1. Let u = -0.1 - -0.1. Let l = u + 0.1. Which is the closest to l? (a) 0 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23 + 7)*(-20)\/25. Let t(x) = -x**2 - 5*x + 10. Let r be t(-11). What are the prime factors of -24 - u - (-1 + r)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 9)*(12\/8 + -2). Solve -3*l - 1 - b = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 207 (b) -2.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-7)*(27 + (-2024)\/69)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112433142 (base 5) in base 4?\nAnswer: -1331223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r - 19. Let f be v(0). Suppose 5*u = -2*u - 203. Let j = f - u. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 12*r + 5*r)*(32*r + 4*r + 5*r) + 0 - 7*r**2 + 0.\nAnswer: 526*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -630184921*a**3 - 2206*a**2 + 2*a + 43732 wrt a.\nAnswer: -3781109526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t + 3*z = 190*t - 12, 4 = 4*t + 2*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6519 - -11269. Suppose 541 = 4*t - 4*i - 5803, -3*t = -i - o. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqqgqqqqqqgqqqq. Give prob of sequence gq.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*-2)\/((13668\/469)\/(-102)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by 224.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - (8 - 9). Is 9 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4559, -2884, -1209, 466, 2141, 3816?\n\"Answer: 1675*a - 6234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*t + 6*t, 0 = p - 3*t + 6. Suppose -p = l - 9. Suppose -l - 9 = -5*s. Solve -2*j + 0*j - 16 = -s*d, -3*d = -5*j - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 - 6) - (11 - 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - 1*sqrt(432)*2) + (sqrt(432) - 1*sqrt(432))*-3)*-1)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/80)\/(8\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100111001111 - -1000?\nAnswer: 11100111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329373324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1389, 2769, 4139, 5493, 6825, 8129?\n\"Answer: -g**3 + g**2 + 1384*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 5620*s**4 - 56018*s**3 - 50296*s**2 + 291136*s - 179200 = 0. What is s?\nAnswer: -2800, -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + -3)) + sqrt(112))**2*-1*2 + ((sqrt(567) - sqrt(567)*-2) + sqrt(7))*-5*5.\nAnswer: -748*sqrt(7) - 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -142. Which is the closest to -2\/11? (a) -0.15 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3031?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/2 (b) 3\/5 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let h be (1 - 2)\/(8*(-7)\/728). Let z(l) = 7*l - 19. Let y(c) = -3*c + 9. Determine h*y(s) + 6*z(s).\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -112551.298 and 0.07.\nAnswer: -112551.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734853.\nAnswer: 31, 191, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2\/13, -2, 0.3 in descending order.\nAnswer: 0.3, -0.03, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1 - 7 + 5*d - 8*d. Determine s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/5 - 145215054*a\/5 + 5271852977055729\/5 = 0. Calculate a.\nAnswer: 72607527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -13. Which is the closest to 0? (a) 0.4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/4, 3, -191.6 in descending order.\nAnswer: 3, 1\/4, -1\/7, -191.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:05 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 = -3*n + 11, 4*p = -n - 8. Let j = -40 + 20. Let c = j + 30. What is the smallest common multiple of c and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -1, -3, 0.4, 32719, 9 in ascending order.\nAnswer: -3, -1, 2\/19, 0.4, 9, 32719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((16\/(-56) - 4) + (-2)\/(-7))*-1. What is the greatest common factor of i and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2444525?\nAnswer: 2444525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -7. Suppose 0 = 4*l - x*l + 8. Solve 0*y**2 + 5*y**5 - 2*y**2 + 2*y**l - y**3 + 0*y**3 - 4*y**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 37*n + 10*n.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 1, 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t*t)\/t**(-3\/2))**(-9\/7) assuming t is positive.\nAnswer: t**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 14*t + 60. Let u(q) = 15*q - 60. Let j(s) = -5*r(s) - 6*u(s). Find z such that j(z) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 12*q - 6. Let x be p(-10). Suppose 5*b - 3*b + 2 = 0. Let y be b\/((-1)\/2)*x. Calculate the highest common divisor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85985 divided by 17197\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 4*x**2 - 2*x + 2. Let o be k(6). Let h = -1161 - -1750. What is the greatest common divisor of h and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47588 and -47580 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19812 + 217930\/11. Which is the closest to -525? (a) 0.1 (b) 2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10093363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-3 + 5 - 3) - 3 + 3 - 1 + 133 - 120 - 277)*(q + 3 - 3).\nAnswer: -266*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1\/8, -51036\/11 in descending order.\nAnswer: 1\/8, -24, -51036\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*b**4*f - 9*b**3*f**2 + 49*b**2 + 27*b*f**2 wrt b?\nAnswer: 7560*b*f - 54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 508389658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17063046 and 1232?\nAnswer: 136504368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p - 6. Let i be l(-1). Suppose -3*j = 4*o - 122, 2*j + i*j - 209 = -o. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.68*-1.79\nAnswer: -1.2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**5 + o**4 - 33*o**3 - 18*o**2 + 6*o + 11. Let v(b) = -b**5 - b**4 - 2*b**2 - 2*b - 1. Let k(i) = -44*v(i) - 4*x(i). Factor k(g).\nAnswer: 4*g*(g + 1)**2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2281, 1694, 1107?\n\"Answer: -587*c + 2868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*l + 1)*(5*l - 6*l + 0*l + (2*l + 0 + 0)*(3 + 3 - 5) + (10 - 7 + 3)*(4*l + 0*l - 3*l)) to c*l**2 + t + b*l and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = -5*m + 55, -l - 5*m + 19 - 12 = -9*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 4*z - 1. Suppose 7*t = 3*t + 2*a - 4, -3*a - 15 = t. Let v be b(t). Solve 5*d + 3*w = -v, -3*d - 2*d + 2*w + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1)*(5 - 7). Suppose c*a - 5 = 5*z + 3, -a + z = -2. Suppose a*s - 35 = -3*s. What is the remainder when 12 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*d = 267*d + 38064 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 532089869 to the nearest one hundred thousand.\nAnswer: 532100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 17 - 11)*(4*o**2 - 2*o - 6*o**2 + o).\nAnswer: 18*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(1\/2)))**26*o**10*o**(2\/21))**(-2\/37) assuming o is positive.\nAnswer: o**(-970\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -1060, -2869, -6152, -11401, -19108, -29765, -43864?\nAnswer: -61897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*r + 1515 + 963 = -7098 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/7, 5, 3\/2, 1\/8, -38\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27466566 and 2?\nAnswer: 27466566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -60.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**4 + 8*c**3 - 222*c**2 + 268*c - 104. Let f(b) = -2*b**4 - 13*b**3 + 221*b**2 - 269*b + 105. Let s(g) = -8*f(g) - 7*n(g). Factor s(i).\nAnswer: 2*(i - 2)*(i - 1)**2*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - j + 5, 0 = -30*y + 33*y + 4*j - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + ((-14)\/147)\/((-147)\/(-8918)))\/((-7)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*a + 32, 3*g - 3*a - 23 = -5*a. Find the second derivative of o**2 + o**2 + g*o - 2*o**2 - 3*o**3 wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -382*v + 370*v - 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2 + (-1 + 2 - 3)*(-1 + 2 + 0))*(3160634*k - 3160634*k + 183*k**2) in the form q*k + c*k**2 + g and give c.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 15, 182*h + 91 = 186*h - 3*w. Calculate the highest common divisor of h and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -805 divided by 805\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 5. Let n be i(4). Let b be -2*((-6)\/(-4) + n). Let p(t) = -t**2 - 6*t - 4. Let u be p(b). What is the greatest common factor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*(-14)\/8*2\/(-3). Let h = n + -23. What is the lowest common multiple of h and 8 + (-1 + 1 - -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33941293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*r = -45, -m + 24 = 3*m + 2*r. Suppose -2*t + m*y + 24647 = 6*y, -4*y - 24650 = -2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 383, 575?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Suppose 0 = -3*g - 5*a + 6, 2*a - 1 - 5 = -3*g. Let u(n) = g*n**2 - 3*n**2 + n**2 + 3*n**2. Give f(u(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0.3, -4\/5, -3977 in decreasing order.\nAnswer: 5, 0.3, -4\/5, -1, -3977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -27. Let a be (-1)\/3*(w - -8). Suppose -211 = -h - a*o, 2*h - 223 = h - 5*o. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-390)*-2*(275\/10)\/11?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:50 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.54 (b) -1 (c) 0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/221)\/(200\/(-96200)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4256, -4291, -4346, -4421, -4516, -4631?\nAnswer: -4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 77715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (1 - -1) - (0 + 2). Let m(l) = -4*l**2 - 2*l + 2. Let h(c) = -9*c**2 - 5*c + 5. Calculate s*m(o) + 2*h(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 13) to base 11.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49376902 a multiple of 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p + 65 = -27*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*w = 8*y + 16, -2*y + 4*w = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v*x**5 + 5*v*x**4 - v*x**2 - 14*v*x + v + x + 2 wrt x.\nAnswer: 40*v*x**3 + 60*v*x**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 648 = 10*i. Suppose 77*s + i = 79*s. Suppose 411 + 1093 = 4*a. Calculate the remainder when a is divided by s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - (-44 - 32) - 60.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4193 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3\/12*28 + -5). Which is the closest to x? (a) 1\/2 (b) -33 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ggese?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l - 54*l - 4*q + 4 = 0, 0 = -2*l + 4*q - 12. Solve 0 - j**3 + 32\/5*j + 78\/5*j**l = 0.\nAnswer: -2\/5, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 3*m**2 + m + 7. Let h(s) = s**3 + 2*s**2 + 6. Let o(i) = -3*h(i) + 2*n(i). Let g(x) = x**2 + 282*x + 5484. Let y be g(-21). Determine o(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107949014?\nAnswer: 2, 17, 186763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/6002321 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219081.\nAnswer: 3, 103, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12520 divided by -4\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w - 38. Let n be d(7). Solve -4 = -n*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20166620 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-520)*1*((-6 + 5)*7 + 6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*b - 15 - 7 = 0, -2*n - 4*b = 4. Let z be (-1 - 5\/(-7))*6\/n. Suppose -z*m**2 + 0 - 2\/7*m = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + sqrt(117) + 2 - sqrt(117) - (sqrt(117) + 3*(-1 + sqrt(117)) + sqrt(117))) + 1)*-5)**2.\nAnswer: -4350*sqrt(13) + 73966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**2 - 3143010*r - 274403107225.\nAnswer: -(3*r + 523835)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41865962 a multiple of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:54 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(6\/(-15) + 26\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s**2 - 7*s - 8. Let r be q(-1). Let c be 240\/r + 4 + 5. Sort -6, -0.1, 5, c in increasing order.\nAnswer: -6, c, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -352 - -670. Let q = x - 336.9. Are 0.1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871512685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 1 - (277 + -253 + -144).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843487279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + -3 + (-7 - (0 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b + 5 = -28*b - o, 2*o = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677145 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Suppose m*b - 2*b = 4. Suppose -a - 3*a = -b. Is a at most as big as -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 13*d - 30*d + 72 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5695 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((7 - 4) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -26*c - 1854. Give p(-69).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**6\/45 + d**5\/10 - d**4\/12 - 4*d**3\/3 - 3. Let w(u) be the third derivative of y(u). What is i in w(i) = 0?\nAnswer: 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (3 - (4 + 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*i - 49, -4*i - 2*n + 10 = -60. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - (-185)\/20)\/((-1)\/(-1604)). Suppose y - g - 28 = 0. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-27))\/((-6)\/27))\/((-90)\/(-8))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 13*d. What is o(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 261 - 276 - (-126 - 0). Solve -a + 39 = 24*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121299181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0528, -2\/13, -13?\nAnswer: 0.0528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289035945 divided by 5255199.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317408134.\nAnswer: 2, 3251, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 6*r + 9. Let n(u) be the first derivative of -u**3\/3 - 3*u**2\/2 - 4*u - 307. Calculate 2*a(d) + 5*n(d).\nAnswer: -d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) -0.1 (b) -2 (c) -0.07 (d) 0.0324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*s**2 + 126*s**3 - 361*s**2 + 205*s**2 - 45*s**2.\nAnswer: 126*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4781.344532 to the nearest 10.\nAnswer: -4780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 56862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 1990 = 24*a. Let x = -77 + a. Suppose 0 - 3\/2*k**x + 3\/2*k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1129\/(-51934)*69\/6*236.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6968 and 27.\nAnswer: 188136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*v**2 - 2*v**3 - 70*v**2 - 72*v**2 - 79215.\nAnswer: -2*v**3 - 79215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -34. Let n(b) = -2*b**2 + 196*b - 2861. What is the remainder when g is divided by n(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*x**5 + 4*x**4 + x**3 + 533*x**2 + x - 1?\nAnswer: 1200*x**2 + 96*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 6*l + 4. Let i be y(6). Suppose i*s - 93 = s. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 39) + -4 + 8 - (0 + -41)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*k + 20, 19*t - 14*t - 7 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.008 and -67?\nAnswer: 0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x + 14*x = 152 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -554 - -2121\/4. Let b = 24 + u. Find t such that 1\/2 + b*t**2 - 3\/4*t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 162056 = -4*b, -254*x - 6 = -251*x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50195478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**3 + 21*k**3 - 4*k**3)*(3 + 0 - 2) - 11*k**3 + 19*k**3 + 42*k**3 + (-k + k + k)*(-4 + 4 - 2*k**2).\nAnswer: 57*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11633, -92964, -313723, -743624, -1452381, -2509708?\nAnswer: -3985319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 7*d - 13*d - 4. Let z(l) = -6 + 3 + 29*l - 28*l + 4. Let v = 0 - -1. Determine v*c(y) + 5*z(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.3, 4385, -3\/2.\nAnswer: -5, -3\/2, 0, 0.3, 4385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.25 and -8822074.\nAnswer: -8822075.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32011 - -1?\nAnswer: 32012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 14456*d**2 - 17419479*d + 11606562.\nAnswer: -(d - 2409)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - 131*c**2 + 1061*c - 11971. Determine t(-41).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -64*n + 616. What is the remainder when t(7) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -44*q**2 - 32. Let d(z) = 4*z**2 - 6*z + 3. Let p(w) = 4*w**2 - 5*w + 3. Let o(l) = 5*d(l) - 6*p(l). Calculate -3*c(a) + 32*o(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 33*m - 31 = 3*c, c + 21 = 4*m. Calculate the least common multiple of m and 2102.\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-5 + -2)) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 2*v - 27. Let d(t) = -3*t**2 + 2*t - 27. Determine -4*d(a) + 5*x(a).\nAnswer: 2*a**2 + 2*a - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*i + 2352 - 2373 = 0, 5*c = -i - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483 - 476. Solve 6 = -m*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(300)*-4.\nAnswer: -160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54982 divided by 27491\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d**3*d))\/d))\/d**(-3\/5))\/(d**(-3)\/d*d**(2\/31)) assuming d is positive.\nAnswer: d**(1633\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2108, 8582, 19372, 34478, 53900?\n\"Answer: 2158*a**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6872 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpjccx. Give prob of picking 2 c and 1 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -14224?\nAnswer: 14140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 25293545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q)**(-1\/35))**(-5) assuming q is positive.\nAnswer: q**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from cvvvccvcvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 4*x + 6. Let j be t(-7). Let z = j + 17. Find the common denominator of (z - 12\/5) + 994\/60 and 61\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 452871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19191 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {g: 1, k: 1, q: 6, b: 5, j: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39425 + -39425. Determine c, given that f + c**3 + 0*c - 10\/3*c**2 + 1\/3*c**4 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, 113, 169, 229, 293, 361?\n\"Answer: 2*h**2 + 46*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30 = -34. Suppose 0 = 2*o - u - 16. Suppose -4*n + 72 - o = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*n**3 + 795*n**2.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1\/6, -2, -1\/2, 0.2, -40?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - sqrt(228)*3*1)\/((sqrt(48) + (sqrt(48) - (sqrt(48) + (sqrt(96)\/sqrt(2) - sqrt(48)))))\/sqrt(4))*3.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 4102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 704 - 639. Which is bigger: 66 or z?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 6 - 7)*(2 - 2 + 2*k)*(0*k - 4*k + 5*k) + (10*k - 20 + 20)*(-2*k + 3*k - 2*k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + 103. Let u be h(0). Let z = 342 + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 1\/4, 21, -226?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 3.9. Let d = x - 4.2. Suppose 0*v - 5*v + 25 = 0. What is the closest to -1 in v, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/172190651 or 0?\nAnswer: 4\/172190651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, w: 5}. What is prob of sequence wuuw?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 3935*h - 3930.\nAnswer: -5*(h - 786)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 3*v + 88, -5*a + 2*v + 110 = 0. Find the third derivative of -6*z**4 - 18*z**2 + 11*z**2 - a*z**4 wrt z.\nAnswer: -672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3304, -13280, -29934, -53266, -83276?\nAnswer: -119964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/44*18\/(-36). Let w be 0 - 1 - (-16)\/18. Which is the nearest to 2\/5? (a) 0.5 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -896.2 + 883. Let n = 12.2 + q. Which is the nearest to 2\/5? (a) n (b) -9 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28 - -24)*(-46)\/8. Solve 2 = -5*c - f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8577647 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2372932, -4745912, -7118892, -9491872, -11864852?\n\"Answer: -2372980*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.943948 meters in micrometers?\nAnswer: 5943948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -1\/21 (d) 5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 78 = 9*l. Let o = -64 - l. What is the least common multiple of 2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 109.14. Let i = -0.14 - u. Which is the closest to -2? (a) i (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/2)*j)\/j*j*j\/(j\/(j\/j**(-1\/2)*j)))\/((j**2\/j)\/(j**(-2)*j)))\/((j*(j\/(j**0\/j))\/j)**4\/(j*(j*j**(-2\/3)*j)\/j)**(2\/61)) assuming j is positive.\nAnswer: j**(-1090\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010341287 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away -58088.1?\nAnswer: 58087.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 67.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -121\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -235085048.96633 - -10?\nAnswer: -235085038.96633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 151*r + 1802. Determine b(-138).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjq when three letters picked without replacement from {b: 4, h: 1, j: 2, q: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/7)*g**(-11))**(-29) assuming g is positive.\nAnswer: g**(2117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:23 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833387224.\nAnswer: 2, 604173403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1187.\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or 503\/5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1.641.\nAnswer: -0.3282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17237 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1280, 1678, 2080, 2480, 2872?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109882 is divided by 54606.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*p - 8*p = -114, 114 = 2*j + 5*p. Solve -108 = -21*a + j*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1969*r**6 + r**5 - r**4 + 38113*r**2 wrt r.\nAnswer: 236280*r**3 + 60*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -110*m + 114*m. Suppose -m*n = -61*n + 6. Solve 0 = -2*u + 6*u - 2*a - 6, 4*a - n = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32423 and 1970.\nAnswer: 63873310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, 155, 4.\nAnswer: -5, 0, 1, 4, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3133243 (base 6) to base 3\nAnswer: -21202000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 48*b + 1642. Give v(-33).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.638851 microseconds to minutes.\nAnswer: 0.00000044398085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-2*s - 2 + 2)*(-118*s + 50*s + 27*s).\nAnswer: -246*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161859976 and 1016.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:15 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 93. Put -2, 1, q, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8578075\/14 + -613035. Let r = -316 - a. Calculate the common denominator of 4\/(-12)*(-57)\/32 and r.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 8. Let n be c(-13). Suppose -7 + 1 = -3*w. Suppose -w*u = u - n. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/161455 and 58\/115325.\nAnswer: 807275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 times 491?\nAnswer: 635354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*t + a, 3*t + 3*a + 92 = 104 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n**3 + 2*n**2 + 5*n + 2. Suppose 7*l - 6 = 13*l. Let a(h) = -h**3. Let r(s) = l*d(s) - 6*a(s). What are the prime factors of r(-3)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 9, -0.4, 7, 9\/14, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(2*k**2 - 5*k**2 + k**2) + 2*k - 2*k**3 - 2*k - 2*k**3 - 3*k**2 + 3*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -60.37. Let s = -0.57 - n. Let w = 6 - 5.6. Which is the second biggest value? (a) 1\/4 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 184, 341, 538, 775, 1052, 1369?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 68. Suppose -222 = -5*h - 3*g, 5*g = 3*h - 7*h + 162. Calculate the least common multiple of h and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -89. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*d = -20900, 0 = -4*q - d - 9312 + 30196. List the prime factors of q.\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4318912, -8637817, -12956726, -17275639, -21594556, -25913477, -30232402?\nAnswer: -34551331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 + -293. Let g = 155 + t. Let q be (56\/g)\/((-4)\/(-30)). Solve 0 = -j + q*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264019962 divided by -4?\nAnswer: -132009981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-1))*z\/(z**12*z*z) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79191*y**5 + y**3 + 456122*y**2.\nAnswer: -4751460*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 - o**5\/5 - o**3\/3 - 260*o**2. Determine l(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137582060 divided by -10\nAnswer: -13758206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(201\/(-15)). Let w = 197\/134 - n. Let x(m) = -32*m + 381. Let h be x(12). What is the smallest value in h, w, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 11*l**4\/4 - l**2 + 3*l + 5017. Let h(o) = -o + 3 + 0*o + 5*o**3 - 2. What is 7*h(f) - 3*q(f)?\nAnswer: 2*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2)**2 + sqrt(128) + -1 + sqrt(128) + sqrt(128).\nAnswer: -8*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 52*z + 11. Let i(b) = b**3 - 4*b + 4. Let l be i(2). Calculate the remainder when o(l) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-462)\/792)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*a = 8, -5*y + a + 3 - 7 = 0. Suppose 5 + y = b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1557\/(-6)*(-152)\/(-6). Let f = -1772173\/7 - -14544961\/56. Let d = f + g. Calculate the common denominator of d and 83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 57*z - 106. Let d be l(7). Suppose 295*a = d*a + 28. What is the least common multiple of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = -6*i + 5*r, -3*i + 2*r - 5 = 0. Let w be (-32)\/1 + (i - 0). Let q = -10 - w. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5284 and -5329.\nAnswer: -10613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceeeexectcq. What is prob of sequence ct?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 6, e: 1, o: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5218.71+8852\nAnswer: 14070.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r. Let y = -6.79023 - -1.79023. What is the nearest to r in -4, -13, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/21*(12 - 0). Solve -11*h - k = -9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*-20.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.6. Let t = c - 4.6. Let v = 8.3 + t. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3267880 - 658795*q**2 + 3267880 + 658794*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 6*b**2 + 5*b + 9. Let u be q(7). Let x be ((-2)\/u)\/((-2)\/(-70)). Suppose -2*h - 136 = -4*j + x, 2*h + 33 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1074320 and 13208?\nAnswer: 136438640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 245648\nAnswer: -17\/122824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 j when four letters picked without replacement from {g: 7, v: 1, h: 7, j: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -20.2. Let o(c) = -c + 5. Let g be o(5). Put u, -3\/2, g in decreasing order.\nAnswer: g, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7264 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31925782 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 0.2, -1209, -0.05 in increasing order.\nAnswer: -1209, -2.4, -0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.321 + 3.721. What is the smallest value in 1, -59, g, -1\/5?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(112))**2.\nAnswer: -8*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2)*i*i*i*i**(-4)*(i**(1\/3))**3)\/((i\/i**(-5))\/(i*i**(-6)*i*i)*(i**1)**(-26\/3)) assuming i is positive.\nAnswer: i**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**4 + 0*q**3 - 7\/60*q**6 - 1\/84*q**7 + 0 - 3\/20*q**5 + 186*q + 0*q**2. Factor c(l).\nAnswer: -l**3*(l + 1)*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(35)\/sqrt(5) + sqrt(7)) - sqrt(11)) + sqrt(275) + (sqrt(275) + (sqrt(275) - (-1 + sqrt(275))) + sqrt(275))**2.\nAnswer: 49*sqrt(11)\/2 + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 = -10*y. Let f = y + 6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 316*a**2 + 108*a + 311. Give x(-105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/30 + 3*z**2. Suppose -5*y = -y - 280. Let d(g) = -70 + y - g. Give p(d(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 2527468*h**3 + 15164904*h**2 + 30329872*h + 20219936.\nAnswer: -4*(h - 631873)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3)\/6*-6. Let f be 836\/z + 2\/6. Let v = f + -56. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10694469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a centimeter in micrometers?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 10 = -v. Let w(n) = -n**2 - 9*n - 6. Let l be w(v). Solve -4*k + 8 = -l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let i = 2 - 2. Let c = 0.35 + 0.05. What is the closest to d in c, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 45. Suppose d*t + 2*a = 4*a + 12, 5*a + 21 = 3*t. Which is greater: t or -19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*d + d + 2412 = 0, d + 1203 = 2*f. Suppose 3*i + 446 = 5*c, 2*i + 2*i + f = 4*c. Let k = 219 + i. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 - 9*z - 5. Let i(p) = p**3 + 3*p**2 + 10*p + 6. Let b(t) = 6*g(t) + 5*i(t). List the prime factors of b(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -12. Let n = 4 + t. List the prime factors of (-2)\/n + (-1505)\/(-21).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21 - -17) + 1*-14. Let c = 0 + -1. Sort a, -4, c in decreasing order.\nAnswer: c, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Suppose f*v - 83 = -a, -3*a + 0*a - 138 = -3*v. Let h = 21 + v. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*o - 2*j, o - 3*o = 3*j - 16. Let y be ((-46)\/(-3))\/((-26)\/39). Let n = y + 43. Calculate the remainder when n is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -13369 in decreasing order.\nAnswer: -1, -5, -13369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 148, 5.442?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 370?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*o + 51 with respect to o.\nAnswer: -261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 106, 379, 906, 1771, 3058?\n\"Answer: 14*j**3 + j**2 + 2*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78822596 divided by -39411298.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*s - 2*s**3 + 222*s + 1 - s**2 as v*s + k*s**3 + l*s**2 + z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125) + 1 + -4)**2*4.\nAnswer: -200*sqrt(5) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 3*r**4 - 4*r**3 + (4*r - 2*r - 3*r)*(-r + r + r**3))*(-186 - 898 + 272).\nAnswer: 3248*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 16. Let w(k) = k + 1. Suppose 326*r - 291*r - 70 = 0. Determine r*w(l) - j(l).\nAnswer: -l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101 and 15391289?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 - 14*r - 26. What is d(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -483112 - 0.11\nAnswer: -483112.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.3798 * -5.\nAnswer: 91.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0*x + 6 = -2*x, q - 5*x = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -1\/270*b**5 - 2*b + 32\/27*b**3 + 3*b**2 + 0 - 31\/108*b**4. Factor j(m).\nAnswer: -2*(m - 1)*(m + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301.6 - -345. Round j to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2179, 2191, 2217, 2263, 2335, 2439?\n\"Answer: z**3 + z**2 + 2*z + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpmmrvwppm. Give prob of picking 1 w and 2 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 4. Let w be a(-8). Suppose w*o - 2*o - 8 = 0. Let t(i) = -o*i**2 + 8*i**2 - 2*i**2. Let p(h) = -3*h**2. What is p(t(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 99*q**2. Let p(m) = 16*m + 84. Let n be p(-5). Let g(o) = 2*o - 16*o + 2*o + 9*o + n*o. What is i(g(f))?\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8612580, 8612582, 8612584, 8612586, 8612588?\n\"Answer: 2*s + 8612578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102, 100, 100, 102?\n\"Answer: c**2 - 5*c + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - 2*p)*(-p + 2*p - 2*p) - 272*p**2 + 26 - 26.\nAnswer: -270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 - 19*l**3 + 1 + (l - 3*l + l)*(0*l**2 - 4*l**2 + 5*l**2) to the form v*l**3 + k + q*l + g*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - c - 13, c - 19 = -2*u - 5. Let n(i) = -i**2 + 10*i - 5. What is the remainder when 10 is divided by n(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -41?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-400))\/(1\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 443 = -m, 0*m - 4 = -4*m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 51*u - 21252. Let q(y) = y**2. Calculate m(q(i)).\nAnswer: 51*i**2 - 21252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.3 + -3.3. What is the fourth biggest value in 1\/2, b, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 808758979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376.9997 + 377. Round r to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585536.\nAnswer: 2, 71, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*q - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-8 - -4))*1\/99*-3. Which is the nearest to 1\/4? (a) g (b) -0.4 (c) 7.8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8241 (base 12) in base 15?\nAnswer: -42e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 58. Let q = b + 43. Let x = 9 - q. Which is smaller: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13399499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 525839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(36)*5)\/(sqrt(12) - (sqrt(1452) + -2*sqrt(1452))))**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 40, 139, 330, 643, 1108, 1755?\n\"Answer: 5*q**3 + q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11638*j + 28175*j - 16600 + 16600.\nAnswer: 39813*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 less than -1713651.21478?\nAnswer: -1713654.51478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-30)*g*g)\/g)\/(g*(g**(-6\/7)*g)\/g*g)*(g**(-10)*g)\/(g\/g**22) assuming g is positive.\nAnswer: g**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*21\/14. Suppose -r*h + 561 = h - n, h = n + 185. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 21449894*x - 10725233*x - 10724661*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -96. Let b be (6\/(-9))\/(-1*q\/60). Let w(i) = i**2 - 11*i + 11. Determine w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in 2\/9, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 13. Let j = -3 - c. Let y = -1917 + 1921. What is the third smallest value in y, j, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*w = -m - 31, 5*m + 55 = -5*w. Suppose -41*j - 66 = -230. Sort m, 1, 5, j in descending order.\nAnswer: 5, j, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 16155025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.1 + 64. Let t = 14 + -8. Does y = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)*z\/z**(2\/21))**(1\/26) assuming z is positive.\nAnswer: z**(31\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 18*i**2 + 18*i - 17. Let r be v(-19). Suppose -r*j + 5*g = j - 668, -5*j - 4*g = -1175. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:01 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 - 8 = -4*c, 0 = -3*c + 2*r + 16. What is the third derivative of h**3 + 9*h**c + 118*h - 118*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, x: 4, t: 4, d: 7}. What is prob of picking 1 t and 3 d?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054 is divided by 320?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffbbbbbffffabfaff. Give prob of sequence abfa.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/4)\/(s\/s**1))**(-47)\/((s**(2\/5)*s)**(-19\/6)\/((s\/((s\/((s\/(s\/s**(-3))*s)\/s))\/s))\/s**6)) assuming s is positive.\nAnswer: s**(3311\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a39 + -235?\nAnswer: -22173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22712 - -55530842\/2445. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 234?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 31*v = -48 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 15*a - 5. Let i be ((-9)\/12)\/(1\/(-16)). Is b(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-13)*(-12)\/(-36). Which is the second biggest value? (a) 0.4 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-2)\/(2\/(-3)). Suppose -105*v + 13295 = -6062 - 698. Find the third derivative of 89*u**5 - 25*u**2 - x*u**2 - v*u**5 + 90*u**5 wrt u.\nAnswer: -720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 383827.\nAnswer: 13817772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325331345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31350*h - h**2 - h**2 - 2*h**2 - 31308*h + 3*h**2 + 35 to the form r*h + q*h**2 + a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10421 is divided by 1420.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 514 = -5*r + 4*i, 5*i = r + 85. Let u(n) = -2*n**2 + 3*n - 8. Let j be u(-6). Let w = j - r. What is the highest common factor of 28 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287321471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let q be (f - 5) + 7\/1. What is the second biggest value in 2\/7, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009251423 rounded to six decimal places?\nAnswer: 0.000925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/36 - i**4\/24 + i**3\/9 + i**2\/2 + 3*i. Let j(a) be the first derivative of u(a). Solve j(m) = 0 for m.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 337*v**3\/3 - v**2 + 472*v + 865. Find the second derivative of j(u) wrt u.\nAnswer: 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*y = -54, 2*y - 8 = 3*z + 24. Calculate the remainder when 23 is divided by (-24)\/z*(-65)\/(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.534 to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -30, -58, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 59860*u - 895804900.\nAnswer: -(u - 29930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 + 5*h**2 + 8*h + 1. Let w be t(-3). Suppose -i + 112 = 3*c, 7*i = 2*c + 2*i - w. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 1. Let s(b) = b**3 + 7*b**2 - 9*b - 8. Let x be s(p). Solve -5*r - 2 = 3*v + 9, 2*r + 4*v - 4 = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.052\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (sqrt(78)\/sqrt(8))\/sqrt(3) - ((-3 + (2*sqrt(13)*-1 - sqrt(13)) + (sqrt(13) - (sqrt(208)\/sqrt(4))\/sqrt(4)))**2 + 3).\nAnswer: -120 - 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82418 rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 + 74645*g**2 + 74642*g - 149288 = 0. What is g?\nAnswer: -74644, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-65))\/((-21)\/(-2520)*-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24194*w - 2 - 3 + 4 + 1 + 23857*w.\nAnswer: -337*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436 by -436.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1056990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16755 - -16755.025466. What is b rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1477\/1188 + -2\/297. Let k = 0.4 - -3.6. Put 1\/2, k, h in decreasing order.\nAnswer: k, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 - 183.9999738. Round u to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:58 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 4. Suppose 0 = -7*b - 3*b. Suppose w - 2*i - 24 = b, -4*i - 7 = 9. Suppose 6*t - w = -4. Let v(n) = -n + 1. Give t*l(p) + 4*v(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 + 11*w**3 + 2 + 46*w**3.\nAnswer: 39*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24*(0 + 3\/(-2)). Let j be (-1)\/2 - (-49)\/(-2). Let l = -16 - j. What is the highest common divisor of l and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.74 - 5.54. Let t = 1.7 + 0.1. Let q = y + t. What is the biggest value in q, 2\/3, -0.08?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 197\/(-345) - 5\/50*-6. Let u = 160\/759 - k. Is u less than or equal to -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 28*l - 233. Solve l + 7 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.21 - -9.21002442. Round a to 7 decimal places.\nAnswer: 0.0000244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624418 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 5) to base 6\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16.911135 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 418426694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 23*s - 51. Sort -2, 2, s in decreasing order.\nAnswer: s, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/21*18)\/(8*24\/128)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/120 - m**5\/30 + 13*m**4\/24 + 3*m**3\/2 - 33*m**2. Let p be b(-5). Suppose p*o = 14*o + 6295. Is o 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 10179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 123*k + 21. What are the prime factors of t(5)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1590\/(-105))\/(((-36)\/(-126))\/(-2))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.614 - 0.614. Which is the nearest to -2? (a) -4 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*x - 1, -5*z + 3*x + 10 - 12 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 71*g**2. Let d(x) = 8*x + 5*x - x - 13*x. Determine r(d(o)).\nAnswer: 71*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253330 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8710757051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9 - 4*k**2 - 8 - 10*k + 5*k**2. Let j be x(10). Suppose 2*r - 11 = a, 0 = -3*a - 3*r + 6 - 3. Sort a, -5, j in decreasing order.\nAnswer: j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13606 - 13606. Solve d - 18 + 12 = c for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 8 = -4*x + 11*h, 0 = -4*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 777913, 777923, 777947, 777991, 778061?\n\"Answer: m**3 + m**2 + 777911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13144888 by -4.\nAnswer: 3286222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, -0.3, 49, -0.4 in increasing order.\nAnswer: -0.4, -0.3, -0.045, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*w - 3*b, 238*w = 243*w - 4*b - 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326173 is divided by 161.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88085817 - 3?\nAnswer: -88085821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 4, 280, -2888 in decreasing order.\nAnswer: 280, 4, 0, -3, -5, -2888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3 + 8214*h**2 + 24624*h = 0?\nAnswer: -4104, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340143 (base 5) in base 2?\nAnswer: -110101110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0 - 1\/48*j**4 + 1\/240*j**6 + 0*j**5 + 2*j**2 + 0*j + 0*j**3. Determine w, given that d(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 + 0*k**2)*(-3 + 10 + 2)*(0*k**3 - k**3 + 2*k**3 + (2*k**2 + 5*k - 5*k)*(0 - 2*k + 0) + 9*k**2 + k**2 - 6*k**3 - 12*k**2).\nAnswer: -162*k**5 - 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25721312 (base 8) to base 13\nAnswer: 126120a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -8, -10, -12, -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 2.05. Suppose 0 + 1 = -z. Which is the nearest to z? (a) m (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1909620413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-9) - (-2)\/(-9). Suppose -3*c = -5*l - 41, c - 2 = -s*l + 6. Let t = c + -7. What is the smallest common multiple of t and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 1996 - 1364. What is the highest common divisor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/21*(-42*(-12)\/(-48))\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 2*p. Let f = p + 4. Let y = 8 - f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -455*r + 464*r - 432. Let w = r - 39. Solve -b + o + 0*o = -w, 3*b = -5*o - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let l be ((-4)\/(-10))\/(s\/(-60)). Let p = l + 20. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 256 = -5*y - 39, -2*y = u - 111. Suppose 5 = -w, w = -2*q + 6*q - u. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxdzdxaexaaaxavxxa. Give prob of sequence vdz.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25562 (base 15) to base 9\nAnswer: -201632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1 + (-97)\/97?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:49 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 + 5*g. Let z be i(8). Suppose -o + 40 = 2*v - 0*o, 0 = 2*v - 5*o - z. Does v = 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.36 and -1.3.\nAnswer: 21.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, 2\/21, -48?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 52*h - 217. Let i(a) = a**2 - 26*a + 109. Let n(o) = 4*g(o) + 9*i(o). What is the tens digit of n(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1\/(22\/4) + -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2247 and 7062?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 0*r**2 + r**2 + 2*r**2 + 0*r**2 - r**2 + (-r + 0*r + 3*r)*(-1 - 2*r + 1) + 4*r + 2*r**2 - 4*r + r - r + 2*r**2 + 4*r**2 - r**2 - 2*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6 = 2*i. Let b = -188 + 190. Solve b*k = -5*m - 23, 0*k + 3 = i*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13269276 divided by 2.\nAnswer: -6634638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -414\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 4 + 0)*45\/(-10). Let w = -8 + 0. Is s > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107584 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = p - 2, -5 = -4*q - 3*p + 11. Let b be (0 - (-5 - -6)) + (1 - 0). Let c = b + q. What is the least common multiple of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 3. Calculate the smallest common multiple of 10 and q(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4*s**2 - 115*s**3 + 49*s**3 + 62*s**3 to the form p*s**3 + u + l*s + d*s**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 78*u + 117. What is the remainder when f(19) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 23*z - 40 = -42*z + 15*z, 3*v + 70 = -8*z for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f - 4*f)*(-13*f - 43*f + 8*f + (-3*f + f + f)*(1 - 5 + 3) + (1 - 1 + f)*(-23 + 1 + 4)) as a*f**2 + s*f + u and give a.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 * -0.26218.\nAnswer: 0.996284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*q - 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekkkabakz. Give prob of picking 3 k and 1 b.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (7 - 10)) + (-3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r**2 + 1. Let i be j(1). Let p be (-4)\/i - (-48)\/21. Suppose -4*k + 48 = -2*b - p*b, 2*k - 22 = b. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + d + 0*d + (-4 + 6 + 1)*(2*d - 5*d + d) - 3*d + 4*d - 2*d + (-3 + 3 + 2)*(4 + d - 4) + 6*d - d - 3*d as h*d + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 84876*d**2 - 145*d - 157*d - 84876*d**2 + 2*d**3 + 97*d in the form m*d**2 + h*d + z*d**3 + g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 33840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 26181\nAnswer: -1\/8727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686511989?\nAnswer: 686511989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56 + (14 - 4 - 5). Let n = 74 - g. 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 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 11554*q**2 + 756*q**2 - 1242*q**2 to m*q**2 + p*q + g + b*q**3 and give m.\nAnswer: -12040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 172.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1904*n**2 - 6*n - 12. Let u(x) = 1905*x**2 + 8*x + 16. Give 3*u(o) + 4*y(o).\nAnswer: -1901*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 - (218 - 176)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 3*h + h - 2*h**2. Suppose -13 = -6*a + 5. Let s(z) = -z + 7*z - 3 + a. What is x(s(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3664114?\nAnswer: 3\/1832057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/36 - 239*j**3\/9 - 57121*j**2\/6 + 3802*j. Factor o(b).\nAnswer: -(b + 239)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/16362 and -133\/165240?\nAnswer: 16689240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 111*l - 391. Solve l*k - 4 = 4*o, 3*k + 3*o = -13 + 37 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a793 (base 11) to base 16\nAnswer: 37b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022201021101 (base 3) to base 8.\nAnswer: 2534753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*c - m - 127, -m = -c + 41. Let z = 170 - 167. Let y be z + (-5)\/(10\/184)*-1. What is the highest common factor of y and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(192\/288 + 26\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.1. Let k = 0.55 + y. Which is bigger: -0.4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4213080, -4213078, -4213074, -4213068, -4213060?\nAnswer: -4213050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = 2*p. Let y be 4\/(-11)*(-2)\/p. Let d = -2\/49 - 39\/245. Which is the closest to 2\/3? (a) y (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2143*v - 45 = -2152*v. Solve 9 = -3*i, -v*h = -4*i - 0*i - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4315\/20)\/(3\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 102 = 2*q - 2*u, -4*q + 5*u + 486 = 0. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33807355 is divided by 1252124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k - 2*k - 306 = -2562 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)*-6 + sqrt(9)\/(sqrt(9)\/sqrt(3)) + -3.\nAnswer: -53*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*u + 16, 2*u = l + 22 - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h + 839. Determine c(36).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/107 - 155\/5136. Let u be (6\/720*27)\/((-6)\/(-5)). Let b = u + m. Calculate the common denominator of -53\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:32 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217 or -2.225?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 467862198 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 - 12*t**2 - 5 + 29*t - 14 - 8*t + 9*t**3 + 7. Calculate l(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (0 - 2 - 1). Let t be 0 - (s + 3) - -3. What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from uouwwwwowo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -40, -64, -92?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6981460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*a*l**3 + 38*a*l + 5*l**3 - l**2 wrt l?\nAnswer: 144*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**6\/120 - z**5\/60 - 2*z**3\/3 - 6*z**2 - 11*z. Let c(w) be the first derivative of q(w). Determine c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)\/q)\/(q*q**8)*q**(-2)*q*q**(1\/4) assuming q is positive.\nAnswer: q**(-309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80654 is divided by 20075?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 14830?\nAnswer: 74150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 9. Let o = 19 + -16. Suppose -5*u + 65 = z, -t*u + o*z + 0*z + 65 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -0.5, -1654, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7b952c (base 14) to base 10\nAnswer: -4213060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 15 = 0. Let r(w) = 4*w - 3 - w**2 - 5*w**3 - 4 + 3 + 3. Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22124321482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 8) + -1 + 4. Let y be -3*((-3)\/9 - -1). Sort y, 2, u in decreasing order.\nAnswer: 2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 43?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -11. Let r(x) = -x**3 + 27*x**2 + 31*x - 83. Let u be r(28). Sort f, -3, u, 3.\nAnswer: f, -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 8*m - 8*m - 1.\nAnswer: -16*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8468*h. Let m(w) = -3*w**2. Give o(m(v)).\nAnswer: 25404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.9 and 1\/764 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jssl when four letters picked without replacement from {l: 1, s: 4, j: 1, p: 1, t: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532925950 divided by 50.\nAnswer: -10658519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 9) + -9 + -6 + 3 + -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j. Let i(h) be the first derivative of -3*h**2 + 10. Determine l(i(k)).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3)*-2)\/(8\/(-156)). Suppose z - m - 21 = 0, -57*z + 55*z - 2*m + 62 = 0. Calculate the greatest common factor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*i = -1, 0*c + 3*i + 10 = c. Let d be 2\/1*c\/(-17). Let x = 0 - -0.5. Put -1\/2, d, x in descending order.\nAnswer: x, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90390, -722836, -2439472, -5782392, -11293690, -19515460, -30989796, -46258792?\nAnswer: -65864542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2 - 384*g + 7*g + 1 - 1. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*i - 8 = 0, 2*j + 5*i + 5 - 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -308, -709, -1260, -1955, -2788?\n\"Answer: x**3 - 84*x**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001014142388 rounded to 6 decimal places?\nAnswer: 0.001014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -223, -5.\nAnswer: -223, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {q: 1, y: 3, a: 12}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/28 - (-20)\/70. Let y(x) = -3 - x**2 - 5*x - 4*x - 5. Let l be y(k). Solve 4*z = 6*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281171 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 24. Is 14 + 2*(-12)\/t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdm when three letters picked without replacement from {m: 6, d: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137, -230, -507, -1064, -1997, -3402?\n\"Answer: -16*j**3 + 4*j**2 + 7*j - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -3, -2, 21 in decreasing order.\nAnswer: 21, 6\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, o: 1, i: 1, h: 1, x: 2}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137379099*t + 1 - 137379099*t - 19*t**3 + 3*t**3.\nAnswer: -16*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 885 = -7057. Calculate the remainder when s is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*z**2 - 45*o*z - 3*o - 188*z**3 + 2*z wrt z.\nAnswer: 2*o - 1128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 24*y. What are the prime factors of i(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8109\/2 + 4055. Put 21, 1\/3, -4\/13, z in decreasing order.\nAnswer: 21, z, 1\/3, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 19 + (-5 - 5) - 59 - -6.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10991, 29748, 48493, 67220, 85923, 104596, 123233?\nAnswer: 141828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.159?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/1)\/4 + 1 + 0. Let d(a) = -4*a + 14. Let o be d(h). Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-274)\/(-28))\/(-11*6\/132) - (-372)\/(-868).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 1\/8 (b) -8.5 (c) -0.5 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -23*g**2. Let y(t) = 46*t**2. Determine -11*p(s) - 6*y(s).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/55)\/(((-2)\/3)\/(4\/(-3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163707*a**2 + 46806*a - 3.\nAnswer: -327414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - 0)*0. Suppose 0 = 2*y - q - 8. Let h be 200\/(((-8)\/y)\/(-266)). What is h rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 111, 115?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168839 + -168838.99999844187. Round d to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 - 40*v**2 + 66*v - 628. Calculate the remainder when 643 is divided by g(13).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvv. Give prob of sequence kv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Suppose -60 + 66 = 3*k. Let z(d) = 11*d**2 - 10*d**k + 7*d**2. Calculate z(s(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758844 - -1113451. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50483987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 16*c - 132. Let i be f(-6). Which is smaller: i or -6\/137?\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8175819 and -29\/9018?\nAnswer: 147164742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21365 + -21363. Let j(o) = -29*o + 65. Give j(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Let n = 6 - k. What is the first derivative of -2 - 8*v**2 - 2*v**3 + 8*v**n wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/20*(-10704)\/(-586936).\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 47 = 3*r, 2*a + 299422 = 3*r + 299465 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-29 - (-21 - -9)) + 13 - -25\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4 (c) -5 (d) -1\/4 (e) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.486 + 0.476. Sort -4, 0, o, 7\/4 in increasing order.\nAnswer: -4, o, 0, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 18*s - 2259. Give p(47).\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 13\/24*d**4 + 5*d**2 + 0*d**3 + 0*d + 0 + 7\/60*d**5. Find the second derivative of f(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*q + 115*q - 59*q**3 - 8 + 32*q**2 - 16*q**2 - 1 wrt q?\nAnswer: -354*q + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1504256.67 to the nearest one thousand.\nAnswer: 1504000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30.2616 * -4\nAnswer: 121.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 1\/3*v**2 - 2\/3*v - 14 - 1\/18*v**3. Factor f(w).\nAnswer: -(w - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:48 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/34)\/(6 + -4)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 55. Let p(c) = -c + 16. Let n be p(y). What is the units digit of (-2930)\/(-40) + (-2)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 24 = 0, 2*t + 29*s - 30*s + 169 = 185 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264 - -45?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336825\/22 - 15307. Find the common denominator of (-26)\/(-5)*(-55)\/12 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 - (-406100)\/(-16). Let r = k + 1167655\/46. Let s = r + -2039\/276. Find the common denominator of s and -23\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 37. Let q = g - -25. Sort -2, q, -4 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.43 less than 3600972?\nAnswer: 3600901.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80205972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24 + 0.04. Let w = -1547 + 1512. Sort 5, w, q.\nAnswer: w, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16086, -32049, -48012, -63975, -79938?\nAnswer: -95901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5703939 to the power of 1\/2, to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 0.6, 0.04?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13615980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 - 1)\/8)\/((-14203)\/(-4732) + -3). Calculate the highest common factor of 11 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = 3*u, -3*m + 4*m - 5*u + 18 = 0. Suppose -1 = -2*t - m. Does 29 divide (-29)\/(-1 - (4\/t)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**3 + 206274*r - 206274*r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3653\/14 + 17\/238. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -456520*v**2 + 407933.\nAnswer: -913040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((-52)\/16 - -4). Suppose -q + 88 = 3*y, 0 = -q + 5*q + d. What is the lowest common multiple of y and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 156. Let n(l) = 349*l. Determine n(w(i)).\nAnswer: -1396*i**2 + 54444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**(5\/4)*i**(4\/5)*i**5\/i)\/((i**(-1))**(-48)\/(i**5*i**5*i)) assuming i is positive.\nAnswer: i**(-619\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:12 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 5*i - 4. Let p be f(-5). Let g be 1\/(p\/(-1 + -19)). Suppose 0 = -g*u - 2*k + 18, -u + 0*k + 1 = 3*k. Is u less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 10. Let u be f(-7). Let c be (2 + u)\/(3\/(-15)). Is (8\/c)\/((-4)\/(-230)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Let j = 2.9 - -2.1. Sort 0.5, n, j in ascending order.\nAnswer: n, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1714193924 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15249 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (62\/(-651))\/((-20)\/14). Let n(a) be the first derivative of -1\/6*a**4 + p*a**5 - 2 + 1\/18*a**6 + 1\/3*a - 2\/9*a**3 + 1\/6*a**2. Factor n(i).\nAnswer: (i - 1)**2*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, -1.7 in increasing order.\nAnswer: -1.7, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -13*w**5\/5 - w**3 - w**2 + 86*w + 45. What is the second derivative of h(q) wrt q?\nAnswer: -156*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isussvsvvtcsvsvstuv. Give prob of picking 1 s and 1 t.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(0*d + d - 3*d) + 0 - 11 + 8 - 25*d to n*d + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {a: 1, u: 1, g: 1, d: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 284\/1846 + (1 - 0 - 1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3\/3 + 46*f**2 - 14*f\/3.\nAnswer: 2*f*(f + 7)*(10*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:57 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5375907 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 72*d**2 - 76*d.\nAnswer: 4*d*(d - 19)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163847402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 167*l. Let s(f) = -f**2. What is c(s(u))?\nAnswer: -167*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 2*m + 32 - 3*m + 5.\nAnswer: 4*m + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 447.1 + -447. Let y = 4.6 + 18.4. Let u = -21 + y. Sort m, 4, -4, u.\nAnswer: -4, m, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 2916*g**3 + 8724*g**2 - 8716*g + 2904.\nAnswer: 4*(g - 726)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 812 and 280?\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1503 = 9*f - 18*f. Let i = f + 36. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 5, v: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - h = 49, 0 = h - 3 + 7. Let i be (j\/(-12) - 2)*4. Is 0 + 28 - (i + 5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2210031?\nAnswer: 2210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -51*x + 19. Let c(s) = 2*s - 24. Let t be c(9). What is the units digit of u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - b)*(4*b**2 + b**2 - 4*b**2 + 0 + 0 - 2*b**2 + (-2 + 5 - 4)*(b**2 + 2 - 2) - 4*b**2 + 6230 - 6225 + 2*b**2).\nAnswer: 8*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6 + w + 4 - 11. What is h(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(328*s**2 - 78*s**2 - 147*s**2) + 46*s**2 - 11*s**2 - 18*s**2.\nAnswer: -292*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3631 - 3628. Let w(d) = 2. Let c(z) = -z + 1. Give h*c(g) - w(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c + 4*c - 20 = 0, 4*c + 15 = -3*j. Let h(u) be the third derivative of -5*u**4\/12 + u**3\/2 + u**2. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/16)\/(((-63)\/462)\/1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r + 81*r - 2*r - 20*r.\nAnswer: 129*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19257 and 283353?\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -10. Let d be ((-3)\/(t - -5))\/((-2)\/(-2380)). Round d to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwk when three letters picked without replacement from wwwwkwwwwwwwkwwwkw.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - p + 1. Let k be o(1). Let q(b) = k*b + 5 - 5. Let h(r) = 3873 + 18*r - 3873. What is h(q(j))?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -438? (a) 0 (b) 17 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/1363 - -121259\/16356. What is the common denominator of 59\/75 and a?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 6. Suppose 3*c = 3*r, -5*c + f = -21*r + 20*r. Solve z + c*n = 10, -18 = -3*z - 0*n - 2*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 12}. Give prob of picking 2 v and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117343?\nAnswer: 271, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 100\/15 + (-15)\/9. Suppose a + 5 = n. Suppose -2*i + 0*i = -n. Solve -i*t = p - 10, 0 = -t - 2*p + 3 - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3*l + 8*l + 43, -10*u - 140 = -11*u + 23*l + 45 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -18*i. Let v(j) = -24*j**2 + 14*j + 28. Let w(h) = 8*h**2 - 5*h - 10. Let q(x) = 5*v(x) + 14*w(x). Give q(f(o)).\nAnswer: -2592*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/10)\/(-10 - (-1788)\/180) - -62745.\nAnswer: 3, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6519.\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, c: 4, d: 9, u: 3}. Give prob of picking 2 d and 1 b.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-640)\/(-704))\/(-3*1\/(-66)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*2\/32)\/((225\/396)\/(-25))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(6*u - u - 3*u)*(-3 + 1 + 1)*(-5 - 2 + 0).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63006 <= 5.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9914 < -69406\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -500000*s**3 - s**2 - 3*s - 2. Let w = 5 + -7. Let z be m(w). Suppose 0 = -4*j - 4*k + z, 0*k - 2*k = 0. Round j to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1744 + 3171. Suppose -6*f - 257 = -u. What is the tens digit of 30\/f + (-2128)\/(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.1 + -99.2. Let u = s - -155. Let o = u - 13.7. Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130541657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-2)*(-2)\/18*(90 - 96). Put -3, -230, i in descending order.\nAnswer: i, -3, -230","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333930517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/15)\/((j*j\/j**(1\/20))\/j)*(j**8\/j)**(-20\/3) assuming j is positive.\nAnswer: j**(-951\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 9 - 17*p**3 - 10 + 0*p**3 - 3*p**3 + 2*p**3 + 3*p**3 - p**3 - 4*p**3 + 3*p**3 - 4*p**3 + 2*p**3 + (-1 + 2*p + 1)*(4*p**2 + 2*p**2 - 4*p**2).\nAnswer: -15*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.10226725 rounded to 1 dp?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*l + 5 = 342*l + 5*m, -1 = 5*l - m. Solve -880*i + 888*i = l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257093\/1338840 + 22\/3719. Find the common denominator of 11\/210 and u.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4160\/680 - 2\/17. Solve p*u + 20 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259852 is divided by 419?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -86, -81, -72, -59, -42?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20131679715 - -20131678800.00002065. Let a = h + 915. Round a to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363 + 934. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/2)*b**(-1\/6))\/((b\/(b\/((b*b**2)\/b*b)))\/b)**31)\/(b*b**11*(b\/b**(-2\/9))\/b)**(-3\/16) assuming b is positive.\nAnswer: b**(-467\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -10 + 9\/2*v**2 + 3*v. What is k(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = u + 2, 4*x = u + x + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 1. Let i be (-9)\/15 + 6\/(-15). Calculate b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27723120600 rounded to the nearest 1000000?\nAnswer: -27723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q**2 - 2*q)*(-1 + 1 + 2*q**2) + 0*q**4 - q**4 - 4*q**4 + 5*q**4 - 3*q**4 + 6081*q**2 - 6080*q**2.\nAnswer: -q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12.9. Let b = n - 6.9. Let j be 13\/20 - (-2)\/(-8). What is the biggest value in -2\/5, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 36\/(-8))*0. Suppose y*q - 5*q + 3*z = -2084, -1662 = -4*q + 5*z. What are the prime factors of q?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1011 + -972. Which is the biggest value? (a) 1\/3 (b) f (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 - 4. Let q be v(-3). Suppose 6*b + q = 5*b. Let p(x) = -x**3 - 14*x**2 - 4*x. Is p(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1920\/9984)\/(9\/45*(-25)\/10)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 654 and 2174550?\nAnswer: 2174550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1660 and 3467325.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268401, -268469, -268589, -268767, -269009, -269321, -269709?\nAnswer: -270179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**3 + 0*u**2 + (-14 + 4*u + 14)*(u**2 - u**2 + u**2) + (0*u**2 - 184*u**2 + 12*u**2)*(u - 5*u + 3*u).\nAnswer: 175*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/120 - u**4\/3 - 20*u**3\/3 - 9*u**2 - 5*u. Let c(w) be the first derivative of o(w). Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**2 - 3983360*l + 15933376 = 0.\nAnswer: 4, 995836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010226884 rounded to 7 dps?\nAnswer: -0.0010227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3139.014 kilograms in nanograms?\nAnswer: 3139014000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from exeexex?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*31 + 2. Let t = q + 61\/2. Let k be 32\/14 - (0 + 2). Which is the closest to t? (a) k (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 17. Suppose a*u + 6 = 3*m, -3*m - 3*u - 6 = -0. Solve m*y = 3*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 times -1938800?\nAnswer: -14928760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-12) - 2\/12. Let l(c) = -c**3 - 6*c**2 - c - 8. Let y be l(-6). Let a = y - q. Solve a*k - 5*d = -12, 3*k + 3*d + 1 = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10697, 21299, 31903, 42509, 53117, 63727, 74339?\nAnswer: 84953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11596*g = -11408*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -19. Calculate the greatest common divisor of 70 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -65. Suppose -36 = -3*h - 3*t, -4*h + g + 39 = 3*t. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*(-160)\/384*25\/(-125)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11127596.6 rounded to the nearest 10000?\nAnswer: -11130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from crpcjujcurorrcr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4))**22\/(v*(v\/((v**(1\/11)*v)\/v))\/v*(v**(2\/29)\/v)\/v) assuming v is positive.\nAnswer: v**(-9875\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3311\/(-420))\/(6\/1130). Let d = -1482 - g. Calculate the common denominator of 13\/4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 974792520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 229501*y + 229499. What is z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.4, -3\/4, 0, 29\/6, 3\/7, -1\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/60 - 4*y**4\/3 - 8*y**3 + 45*y**2 + 2*y. What is the remainder when 119 is divided by d(34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(((k**0\/k)\/k)\/k))\/k)\/k*k**5)\/(k**0*k**(-3)\/k))\/(k**5\/k*k**(5\/3))**16 assuming k is positive.\nAnswer: k**(-239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/6 - x**3\/3 - 12*x**2. Let z(y) = -y - 1. Let a(t) = l(t) - 5*z(t). Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewhwwweqnlnnhn. What is prob of sequence qww?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4. Let n(m) = -2*m**2 - 7. Let o(c) = 13*b(c) - 6*n(c). Let f be 15\/(-25) + 3\/5. Give o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) + 10\/(-100)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**4 - 5*l**2 + 2*l**3 + 0*l**2 - 7690 + 3*l + l**3 + 7691 in the form n*l**4 + w*l**2 + c + d*l + o*l**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4547 + -41?\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 0, 2*l - 3*w - 1 + 7 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 3*q**4\/4 - 2*q**3\/3 + q + 9. Suppose 3*g - 15 = 0, 0 = 4*v - 2*g + 5 + 1. Let a be t(v). Solve -a*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 9*d**2 + d + 21. Is n(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 4*g**2 - 4*g + 4. Let o be r(-4). Suppose 0 = y - 0*y - 12. Calculate the highest common divisor of y and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/10 - (-1)\/2. Let h = -0.02 - 0.05. Let q = h - -2.07. Which is the closest to -1? (a) 2\/9 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228853 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8245 or -9?\nAnswer: -8245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680 + -58082.\nAnswer: -57402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 29*m + 11. Let a be b(29). Solve -2*l - a = -9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.632 and 124.\nAnswer: 116.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 5 + k**3 + 2*k**2 + 0*k**2. Let c(d) = 0*d**3 - d**3 - 2*d**2 - 3*d**3 - 6. Calculate -5*c(i) - 6*v(i).\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a factor of 9335472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -76c37 (base 14) to base 6\nAnswer: -10100145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) -0.01 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*t = 1045*t - 78435 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + (-488)\/(-24) + -7. Solve -3*n - 6 = 3*j, 4*j + g = -5*n + 3*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 65*j**2 + j. Let n(q) = -5732*q. What is t(n(b))?\nAnswer: 2135628560*b**2 - 5732*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - 1 - (-43 - (-70 + 34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1740*n + 5359. Calculate k(4).\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293*o - 579*o - 571*o - 566*o - 571*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, 40, -20 in decreasing order.\nAnswer: 40, 2, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**3*m**3 + 187*d**3*m - 12*d**2*m - 125422*d*m**3 - 88*d*m - m**3 wrt m.\nAnswer: 24*d**3*m - 752532*d*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.5. Let f = 0.1 + -0.2. Suppose j = 5*j. What is the third biggest value in j, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018997 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -1\/45*q**6 - 1\/63*q**7 + 0*q**3 + 0*q**2 + 1\/18*q**4 + 0 + 1\/30*q**5 + 2*q. Factor x(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h. Let g(i) = -i + 1 - 1. Let c(x) = -6*g(x) + 2*v(x). Let b(z) = -2*z. Give b(c(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965 = -5*t - 375. Let f = 202 - t. Suppose f = 3*s + s. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19775700 to the nearest 10000.\nAnswer: 19780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22904159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 5. Let c = -11 + 15. Suppose 10 = -c*q + 5*i, -2*i = -3*q + 2*i - 7. Let h be s(q). Solve h = 5*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/27 + -19\/27. Let h be (-102)\/(-663) + 81\/65 + -1. Which is the third smallest value? (a) h (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.720651 - -0.08.\nAnswer: 11.800651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 9, 22, 29, 24, 1?\n\"Answer: -t**3 + 6*t**2 + 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - d = 13, 398*f + 16*f + 2*d - 1351 = -35*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133089 is divided by 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, -5, 0 in ascending order.\nAnswer: -24, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21854? (a) -3\/5 (b) 0.3 (c) -2\/7 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1520 in -4, 1.9, -0.2, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 11*d - 22. Let b be s(-13). Suppose w - 6*w - 4*t + 2 = 0, -2*t + 4 = b*w. Suppose w*x - 175 = 95. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 8*i**2 - 15*i - 1. Let n be g(-7). What are the prime factors of n + 4 + -3 + 6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -5, 0.06, 0.6 in descending order.\nAnswer: 0.6, 0.06, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 91 = 6*g. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 10*v + 45. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**2 - 9 + 9 + (4 - 4 + 2)*(16*n**2 - 11*n**2 - 14*n**2).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0209 - -0.9791. Which is the closest to 2? (a) 0.1 (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253551 + -12821?\nAnswer: -266472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.67042 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -31*i - 589. Let o be k(-19). Let n be (-4)\/(-2) - 2*-1. Solve o*w = w + n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*v**2 + b**2 - 10*b*v**2 - 2 wrt v.\nAnswer: 6*b**2*v - 20*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -301 (b) -5 (c) 49 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*q**4 + 0 + 0*q + 0*q**2 + 2*q**3.\nAnswer: q**3*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-7 + -9))\/((-66)\/(-216))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/168 - i**6\/60 + i**3\/3 + 3*i**2. Let v(x) be the first derivative of l(x). Find the third derivative of v(o) wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**3 + 1\/6*y**4 + 3*y + 1\/10*y**5 + 0*y**2 + 0. What is the third derivative of r(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1176*w + 1825*w + 293*w + 13176 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 - 41*m**5 + 24*m**2 - 29*m**5 + 76*m**5 wrt m?\nAnswer: -120*m**3 + 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.9 (b) 2 (c) -0.16275 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**2 + 7*y + 22. Let b be x(-7). Let f = b + 338. Let m = -158 - f. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:31 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 312\/(-18)*7\/((-70)\/225). What is the greatest common divisor of u and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -7528, 1, 4, -9 in descending order.\nAnswer: 9, 4, 1, -1, -9, -7528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 43 = -7. Solve 4*z + 0*z + h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -3, 0.2, 7, 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136055 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*k + 13, -5*v = 6*k - k - 25. Suppose 0 = a + k*a + 3*h - 207, 0 = 5*a - 4*h - 214. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 44. Let t = 54 - 49. What is the nearest to -2\/3 in -1, t, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 323707647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/12 - 11\/12. Let o be 3\/((-3)\/10) + (-53676)\/(-4970). Sort a, 2\/3, o, -1\/4.\nAnswer: a, -1\/4, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34240 and 2?\nAnswer: -68480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.121 + 5.221. Let g = n - 5. Which is the third smallest value? (a) -1 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let w(d) = -1. Let g(v) = 2*v + 10. Let k(c) = b*g(c) - 8*w(c). Let s(h) = h**2. Let l be s(2). Calculate k(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29841587 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -2*l, -5*l + 122*w - 128*w + 60 = 0. Let d be 4\/6*(0 - -6). Suppose -39 = d*b - 127. What is the least common multiple of b and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32*7\/((-28)\/(-8)). Suppose 5*v - 61 = w. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1064 + -0.3936. Put 2\/9, -0.02, 11, w in decreasing order.\nAnswer: 11, 2\/9, -0.02, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + o + 428 - 114, -2*o = 5*m - 399. Suppose 5*d + 14 = 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 highest common divisor of 43 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6995*f = -6994*f - 10 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4448, 18246, 41398, 73904?\nAnswer: 115764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26708 - 4377. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239125331 to the power of 1\/3, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 17 - 14 - -27?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/11 and 28\/35*(-46)\/8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -5*t - 0*t. Let c = t + -43. Suppose 3*u + 5*m - 55 = 0, -c = -2*u - 4*m + m. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 33*g**3 + 5*g**2 - 5*g + 5. Let b(d) = -32*d**3 - 4*d**2 + 4*d - 4. What is 5*b(u) + 4*l(u)?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03191 + 0.01866. Let d = -97 - -97.051. Let x = t - d. Round x to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 34. Is 8 a factor of h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*d - 21 = -d, 3*s - d = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -492*p - 7516. Let h(v) = 307*v + 5010. Determine -5*f(z) - 8*h(z).\nAnswer: 4*z - 2500","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 6 = -6. Is 4\/v - (-27*65 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 87*o**2 + 106*o - 832. Calculate g(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1377) - sqrt(1377)*1)*2)**2 + sqrt(1377)) + -4 + -5 + (sqrt(1377)*-2)**2.\nAnswer: -36*sqrt(17) + 5499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z. Let i(x) = -x. Let q(b) = 6*i(b) + l(b). Let k = 1 + 5. Suppose 9 + k = 5*c. Let f(s) = -2*s. Calculate c*f(h) - 4*q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a80 (base 15) to base 4.\nAnswer: -1121301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0.3, -5\/828, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.4, -1264.9 in ascending order.\nAnswer: -1264.9, -1.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*c + 7. Let d(k) = -k**2 + 6*k - 17. Let o be d(c). Let p(y) = -y - 9. Give p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t + 17. Let l be z(8). Let i be (l\/3)\/(4\/(-12)). What is the units digit of i - (3 - 11\/(44\/24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13981.4 and 0.1.\nAnswer: 1398.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 1477, 3325, 5913, 9241, 13309?\nAnswer: 18117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 1. Let t(m) = 3*m**2 - 4*m + 6. Let i be (3\/(3 + -6))\/((-3)\/(-3)). Let y(f) = f - 3. Let d be y(7). Calculate d*n(u) + i*t(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 0, 2*u - g - 2 - 103 = 0. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-21) - 51\/(-21) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 94*i - 331. What is g(91)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**3 - 2*u**2 + 3*u - 7*u**3 + 1 - 26*u**3 - 4*u. List the prime factors of q(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 5, 1 in increasing order.\nAnswer: 1, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let r(c) = -5*c - 21. Let z be r(-16). Suppose -h + 3*f + z = 0, 5*h + w*f - 233 = -10. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8028 + 72250\/9. Let i be -1*(2 - 0 - -1). Let a be 0 + 0 + i + 2. Is r greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1655, -2030, -2403, -2774?\n\"Answer: h**2 - 378*h - 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) + sqrt(225)*-3)\/sqrt(5) - sqrt(45))\/((sqrt(72) - (sqrt(72) - (sqrt(72)*3 - sqrt(72)) - sqrt(72)))\/sqrt(8)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 90*f + 79*f + 34*f + f**2 to the form i + c*f + z*f**2 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85631435 - -1?\nAnswer: 85631436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588875 is divided by 72?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(539) + 0))**2.\nAnswer: -6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 5)*(4 - 2 - 3) - 2 + 3 + 0)*(-g + g + g + (-2 + 3 + 2)*(-3*g + 4*g + g) + (4 + 3*g - 4)*(246 - 96 + 90)) to the form x + i*g and give i.\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 - 5986836*o**2 + 11973664*o = 0. What is o?\nAnswer: 0, 2, 2993416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109819, -440482, -991587, -1763140, -2755147, -3967614, -5400547?\nAnswer: -7053952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39735.852 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 - z**3\/3 + z**2 + 4*z. What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0638336679 to five dps.\nAnswer: 0.06383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)\/n*n**1\/n)\/((n\/n**3)\/(n*(n\/(n*n**(2\/5)))\/n)) assuming n is positive.\nAnswer: n**(37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 divided by -11?\nAnswer: 525\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43758898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 3 + 59*k - 59*k.\nAnswer: 13*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -113, -181, -277, -401, -553, -733?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 take away 254?\nAnswer: -256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*i + 1610 - 1610)*(-129999 + 129999 - 581*i) to the form p*i + f*i**2 + a and give f.\nAnswer: -19173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 91*u - 185*u + 2 + u**2 - 12*u**2 + 87*u in the form h*u**2 + q + p*u and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyzyzewwetzow. Give prob of picking 1 e and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 79*h - 94*h + 28 + 26, -h - 3*g + 17 + 51 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(136) + 6*sqrt(136)*1 + sqrt(136))\/(sqrt(288) + sqrt(288)*2*2).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30933 times -709?\nAnswer: -21931497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.722851 to one dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135171013 to the power of 1\/2, to the nearest integer?\nAnswer: 33692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Let f(y) = 4*y + 1. Let a(j) = 7*j + 2. Let h = 373 + -367. Let t(w) = h*a(w) - 10*f(w). What is l(i) - t(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i - 36*i - 22*i + 41*i - 12*i - 13*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = i - 4*t, 6*i + 3*t = i - 65. Let j be i\/(-65) + (-32)\/10. Let u be (-4 - (-5 + 1)) + (-1 - j). Solve 3*b - u + 11 = -2*l, -2*b - 6 = 2*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4)\/(-16)) + (-50)\/(-136).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822579041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -10. Let y = 1 + 0. Which is the nearest to y? (a) -2 (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5450, 5420, 5362, 5270, 5138, 4960, 4730, 4442?\nAnswer: 4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 744 + 5?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11498.\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -54*y - 1. Let w = 4 + -5. Is i(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + -11 + 1 + 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (3 - -1)*-1. Sort -2\/7, w, -2\/11.\nAnswer: w, -2\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttfxrsxs. What is prob of picking 1 f and 2 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -0.2, -3\/4, -53?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225.4 - 215.49. Let j = r - -2.09. What is the third smallest value in -0.2, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22344 - 80027 + w - 93997 - 174613 - w**2.\nAnswer: -w**2 + w - 326293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2, 2*a - 4*f = 3*a - 1184. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431 - 431.1. Let w = -122.39 + 122. What is the closest to h in 2, w, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-384)\/(-32)*2\/2. Let c be (-1)\/4*-18*8\/x. Solve -c*f = 4*p + 14, 3*p + 4*f + 2 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 5, w: 2, t: 2, o: 1, c: 6}. Give prob of picking 1 h, 1 t, and 1 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0044 + -0.1956. Which is the third biggest value? (a) -2\/13 (b) -1 (c) o (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/7 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/44 and (-1)\/(-1) + (-262)\/40?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-26))\/((-1)\/4*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = -135*c - 3648 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10 - 4. Let a be 0 - (v + (-2)\/(-1)). Let j(i) = -i**3 + i - 1. Let w(h) = -6*h**3 - h**2 + 3*h - 3. What is a*w(z) - 3*j(z)?\nAnswer: -3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34731.45 years to months.\nAnswer: 416777.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/840 - s**6\/180 - s**5\/30 + s**4\/12 - 41*s**3\/6 - 24*s**2. Let y(q) be the first derivative of o(q). What is y(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 1473*a\/5 - 12282.\nAnswer: -3*(a - 445)*(a - 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 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: Suppose 0*c + 2*c = 0. Let k be 240\/72*5103\/(-73). Let h = k + 233. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4116872 take away 5234?\nAnswer: -5214.5883128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/((4422\/748)\/67).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**3 - 13*i**3 - 6*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*j - 58, 2*y - 9*j + 5*j = -122 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -514 + 519. Let u(j) be the first derivative of 0*j + 1\/12*j**3 - 4 + 1\/4*j**4 - 1\/4*j**2 - 3\/20*j**f. Factor u(b).\nAnswer: -b*(b - 1)**2*(3*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*b - 152 = -42, 586 = 5*a - 2*b. Calculate the remainder when 409 is divided by a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 26139*w\/5 + 1388176\/5.\nAnswer: -(w - 53)*(w + 26192)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5048*a**4 - 30*a**3 - 26*a**2 + 9094*a - 2?\nAnswer: 121152*a - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x - 364. Calculate s(-48).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 14399 = 33*p. Is p a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose 3*x - 6 = 6. Solve -o = x*m - 0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1620?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293246 is divided by 1275.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891 divided by -9.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 353*c*p + c*q**3 - 53266*c*q**2 - 146602*p*q**3 - p*q - 2*q - 3 with respect to c.\nAnswer: 353*p + q**3 - 53266*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(48)*-2)**2) + -4.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 674340 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 19*k**2 - 2*k + 13. Let c be n(12). Suppose 3*r - 4*h - c = 0, -9*h + 5*h + 8 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*s - 2, -5*t - 27*s = -24*s - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 9. Suppose -8 = -h*b + 13. Let l = -6 + b. What is the remainder when 1 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5\/3 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16852 - 7853029\/466. Suppose c + 57*y = 56*y + 2, 3*c + 2*y = 4. Is j at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -r + 4*s - 6, s = -5*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28580602 is divided by 5446?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824727 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: What is the common denominator of ((-16205)\/(-8100) + -2)*-238 and -67\/8?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 1 + 8 + 7663*q.\nAnswer: 7663*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30599339123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 4*f**2 - 2*f + 2. Let a be k(-2). Let t = -20 + 23. Let h = a - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -40, -75, -120?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -350*v. Let y(r) = -64*r. Calculate y(g(h)).\nAnswer: 22400*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6. Let p(r) = -r - 1. Suppose -7*k + 6 = -5*b - 3*k, -3*k - 24 = b. Determine b*p(l) + c(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 13*o**5\/300 - 7*o**4\/40 - 9*o**3\/5 - 515*o**2. Factor m(l).\nAnswer: (l - 3)*(13*l + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1018915 and 5.\nAnswer: -1018910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(5 - 2 - 1)*(2*t + 3 - 3 + (2 + 6*t - 2)*(-3 - 2 + 1)).\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-4*sqrt(147) - sqrt(9)\/sqrt(108)))*5 + -1)**2.\nAnswer: 845*sqrt(3)\/3 + 714037\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 8. Let r(u) = -7*u**2 - 8. Let j(i) = 4*q(i) - 3*r(i). Let p = -79 + 55. Let k(b) = 1. Calculate p*k(t) - 3*j(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22048 divided by -4.\nAnswer: -5512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10927 + 655453\/60. Let d = q + 27\/10. Suppose -8 = -8*h - 0. Is h at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -42 + 1 + 3 + -3. Let v = c - -60. Calculate the remainder when 36 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h + 1353. Suppose -248 = -3*j + h. Suppose -3*p = 0, -4*p - j = -u - 30. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.3, 4, 5 in decreasing order.\nAnswer: 11, 5, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34597*v**2 + 67912*v.\nAnswer: 69194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-3) + 3 + 0. Suppose p*i = -i + 8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:10 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.08 - -0.08. Let z = -257.8 + 230. Let b = z - -28. Put j, b, 1 in descending order.\nAnswer: 1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3. Suppose 5*o - 7*o + 37 = 3*j, 2*o = -4*j + 48. What is the tens digit of a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6589421?\nAnswer: 6589416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 94 = 30*h, -x + 0*x - 4*h + 6 + 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8310718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 3. Let x be b(-3). Let h(g) = 11*g**2 + 8 - 15*g**2 - 2*g**3 - 2 + 3*g - 6*g**2. Is h(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*k - 133 = 0, -2*x - 3*x = -4*k - 211. Let l = 142 - 87. Let n = l - x. Solve -2*u - 5*q = -n, -5*u = -u + q - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1233 = -h + i, 0 = -9*h + 4*h - 2*i + 6193. Let a = h - 686. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 10?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*s, -4*s + 0*s = -3*a. Let m be -11 - -4 - (-1 - a). Let h(f) = -f**3 - 7*f**2 - 7*f - 8. Give h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 24 = 6. Solve 3*w + 2*n + 22 = 7*n, 4*w - m*n + 22 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3931, 4107, 4285, 4465, 4647, 4831, 5017?\nAnswer: 5205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 647604*-11.\nAnswer: -7123644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 810 - v**2 + 819 - 2*v - 1678 as c + q*v**2 + d*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 284 = -0*u + 3*u, 4*u = 4*y + 376. Calculate the remainder when 1376 is divided by u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49476, 98954, 148434, 197916, 247400, 296886, 346374?\n\"Answer: u**2 + 49475*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + 4\/6. Which is the third biggest value? (a) w (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2830, 11322, 25476, 45292, 70770, 101910, 138712?\nAnswer: 181176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5b8 + -5?\nAnswer: c5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 90701819.\nAnswer: -90701818.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.6818 minutes in hours?\nAnswer: 12.42803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 32. What is the remainder when 17 is divided by x(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 418.469 micrograms?\nAnswer: 0.418469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -165, 7, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 1910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 22. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1349 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -389. Suppose -c + 339 + m = 3*w, -10 = -5*c. List the prime factors of w.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29 and 3\/30*(-575)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -6*r + 15*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-2*-3*6)\/((sqrt(88) - sqrt(88)*2)\/sqrt(8) - sqrt(77)\/(sqrt(7)*-2)) + -5.\nAnswer: -72*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85 + 77*c - 146*c - 35 wrt c?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*q + u + 78, -5*q = 5*u - 155. Calculate the remainder when 194 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 - 0) - (0 - 4)) + 10 - 69\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.012, -2\/21, 1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31774 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: Is 263771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 980231617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -153. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(72\/(-16))\/9*22\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*a - 9*a**4 - 27*a + 54*a + 5*a**2 in the form p + j*a**2 + s*a + m*a**3 + k*a**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14804831 times 0.02\nAnswer: -296096.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -812350, -812202, -812066, -811948, -811854, -811790?\n\"Answer: -b**3 + 155*b - 812504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - 0 - 4\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4759, -4352, -3249, -1102, 2437, 7716, 15083?\nAnswer: 24886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044511 rounded to five decimal places?\nAnswer: 0.00445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7214023*0.06.\nAnswer: -0.103284138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61238 and 1072.\nAnswer: 489904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 624 + -618. Let x be (17 - 21) + (-1 - -16). Let s(t) = -2*t + 22. Let u be s(x). What is the nearest to -1 in u, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*w + 15 = -190*w. Let u(y) be the third derivative of y**5\/60 + y**4\/4 + 2*y**3\/3 + 2*y**2. Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 - -38. Let y = -132.9859 - z. Round y to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1319 - 3.1319. What is the closest to u in -2, 18, 0.5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/23*28\/70?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 - 146 = -74*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.88208 weeks to milliseconds.\nAnswer: 5371881984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m**(4\/9)\/m)))\/m))\/m**(10\/3))\/(m**18*m**(-2\/13)) assuming m is positive.\nAnswer: m**(-2179\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 68*y**2 + 344*y**3 + y - 694*y**3 + 16*y**2 + 349*y**3 in the form b*y**2 + p*y**4 + h*y**3 + g + r*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 67*n - 89\/2*n**2 + 0 - 59\/3*n**3. Differentiate z(y) wrt y.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p**2 + p. Let a(n) = n**2. Let i(l) = 6*l**2 + 2. Let x(z) = 96*z**2 + 33. Let q(j) = 33*i(j) - 2*x(j). Let h(g) = 5*a(g) - q(g). Give h(w(b)).\nAnswer: -196*b**4 + 28*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 3699530472.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let z(c) be the first derivative of -3*c + 1. Let w(h) = 2*v(h) + z(h). What is the first derivative of w(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1220676 and 2.18.\nAnswer: -1220673.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -9*r + 3*b + 5, 3*b = 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzrzlzzloclzdcr. What is prob of picking 1 l and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47 + 27*10\/(-30). What is the closest to 4 in m, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 1 + 16*p**2 - 28*p**2 + 73.\nAnswer: -p**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824*w = -827*w - 3. Let v = -0.1 + 0.22. Let u = v + 4.88. Which is the biggest value? (a) w (b) -1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h. Suppose 10*l = 208 + 302. Calculate the remainder when l is divided by h + (2 + -4 - -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2 - (-9328)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -50.114. Let q = -0.1242 + l. What is q rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let x = 9 - q. Suppose 7*w = 3*w - 12, 0 = 2*h - x*w + 138. What is h rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 47 - 52 + w**3 + 117 - 41.\nAnswer: -2*w**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47576276647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2))\/((-4)\/(-8)). Let z be ((-42)\/5)\/((-2)\/10). Calculate the greatest common divisor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/5))**(-1) assuming r is positive.\nAnswer: r**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34930)\/499)\/(10\/(-6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2, 3, -0.05, -2 in descending order.\nAnswer: 8, 3, 2, -0.05, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279 and 579?\nAnswer: 53847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let c(i) = 1 - 2 + 2. Let n(z) = -2*z - 6. Let p(a) = -6*c(a) - n(a). Let b(u) = -u**3 - 4*u**2 + 7*u + 5. Let k be b(-5). Give k*x(o) + 8*p(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**(-1\/3)*((i**(-3\/4)\/i)\/i)\/(i*i**(11\/5)*i))**(-2\/55) assuming i is positive.\nAnswer: i**(857\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -11) + 17 + -44.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-348*w + 348*w - 4*w**2 + 2)*(-24*w - 3 + 3 - 58*w) to the form o*w**3 + m*w + z + s*w**2 and give m.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 + 3*f - 6. Suppose p - 51 = -56. What is j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 1, k: 2, m: 11, x: 1, j: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047067 is divided by 47576.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -13, 73, -24, -5 in descending order.\nAnswer: 73, -5, -13, -24, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 13*j - 1320 = 0. Calculate the greatest common divisor of 132 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109044, -108997, -108950?\nAnswer: -108903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 21 + 5*d - 5 - 2*d**3 - 16.\nAnswer: -2*d**3 - 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.0615 and 4.\nAnswer: 52.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Suppose s*f = 4 + 5. Let m = f + -3. Put -0.3, 0.1, m in decreasing order.\nAnswer: 0.1, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5237 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 134078546 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*w + 14*w - 12*w)*(2*w - w - 4*w + 3) as v*w**2 + n*w + d and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 59 = -2*y, -34562*y + 34567*y - 68*l - 1539 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81638 is divided by 161?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.299, -0.217, 39, -17, 2\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/14 - 23\/42. Let g = 0.0077 + 2.9923. Which is the second biggest value? (a) -0.4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*16\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1004, -4024, -9068, -16142, -25252?\n\"Answer: -o**3 - 1006*o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/20*5 + 18. Suppose 3*v - 3*o = 39, -13*o + 11*o = 2*v - s. Solve -5*b + 0*w + 4*w = v, 0 = -4*w - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -1. Let g = h + -21.9. What is the nearest to g in -3, 1\/6, -3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 + 14 - 10) + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, s: 3, t: 3}. What is prob of picking 1 t and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7)**10)**(27\/2) assuming j is positive.\nAnswer: j**945","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2 (b) -0.000781 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-1230742033118\nAnswer: -1230742033117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11911780*i**4 + 3*i**3 + i**2 + 99733536 wrt i.\nAnswer: -285882720*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -418*m**2 + 384*m**2 + 1871*m**3 + 19*m - 6494*m**3 wrt m.\nAnswer: -27738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w - 2*z, 4*w - 5*w = 4*z - 20. Suppose 3 = -4*n - 3*p + 11, 2*n - w = 5*p. Sort n, -5, -1 in decreasing order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -553?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2243?\nAnswer: -6729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.373835 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -29*z + 560 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130 is divided by 1563.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.6 + -26.6. What is the biggest value in -5, -24, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 55*q**3 + 396*q**2 + 353*q + 27. Let w(t) = -2*t**2 + 4*t + 1. Let p(u) = -i(u) - 3*w(u). Factor p(o).\nAnswer: -5*(o + 1)*(o + 6)*(11*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55973 centuries in years?\nAnswer: 155.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 9*c**2 + 9*c + 13. What is the tens digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341323 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t**5 + 5327*t**4 - 68115*t**3 + 3721*t**2 + 233180*t + 156000 = 0 for t.\nAnswer: -1, 40\/17, 13, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 328*h**2 - 1048*h. Let y(k) = 14*k. Determine y(p(t)).\nAnswer: 4592*t**2 - 14672*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:56 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/(k**(-1\/5)\/k))\/(k**(2\/9)*k**(-4\/11)))\/((k**(-3))**(-27))**(1\/20) assuming k is positive.\nAnswer: k**(-11303\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 50*x - 49. Let k be v(-1). Which is smaller: k or -12.48?\nAnswer: -12.48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiwyriiyiiygwri. What is prob of picking 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 13 + 33. Let f(b) = -q*b - 2*b + 5*b - 3. Let p(z) = 3*z + 7. Let o(c) = -5*f(c) - 2*p(c). What is the derivative of o(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9042265.4 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(70)*-3 - sqrt(70))\/(sqrt(7) + sqrt(7) + sqrt(7)*1*-3))\/((sqrt(60)*-1)\/sqrt(3) + (sqrt(45)*6 - (sqrt(245) + (-1*sqrt(245) - sqrt(245))))).\nAnswer: -8*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7828470 and 2609490?\nAnswer: 7828470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2497)\/(-8) + 1*1\/(-8). Let o = p + -299. Solve -2*b - o = 5*w, 6*b - b = -20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19963 - 13930. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757689 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*sqrt(28)\/sqrt(36) - (-1 + sqrt(112) + sqrt(112) - sqrt(112) - ((2 + sqrt(847) - sqrt(847))**2 + sqrt(7))).\nAnswer: -5*sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 189. Let z = k + -12. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*l + 3*l - 20, 2*l - 2*r = -8. Solve l = 5*f - 10*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 + 8*r + 2. Let d be a(4). Suppose -5*l = 0, -l = -4*o - d*l + 12164. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - h = -31, 2*h = 2*b - 0*h - 22. Suppose 10*k = b*k - 116. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*n**2 + 556635*n + 717804.\nAnswer: -20*n + 556635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/21)*f*f*f*f**(-1\/11)*f)\/(f\/(f\/(f\/((f\/f**(4\/9))\/f)))*f**(-8)) assuming f is positive.\nAnswer: f**(7912\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -h, -4*l + 4*h = -2 - 2. Let u be l\/5 + 39\/15. Suppose 2*o - u - 5 = 0. What is the remainder when 6 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*n**3 - 212233675*c**3*n**3 + 38459*c**2*n**2 - 122*c**2 + 2*n**3 + 17*n**2 wrt c.\nAnswer: 24*c*n**3 - 1273402050*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*p - 34 - 59 = 0, -447 = -4*w + 3*p. What is the greatest common divisor of w and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1522306)\/7528*(-3)\/(-990). Let n = i + 5\/7528. Let o = n + 2\/165. Sort 1\/2, 3, o in decreasing order.\nAnswer: 3, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3516542 kilograms to micrograms.\nAnswer: 351654200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*d + 5*d + 35, j - 3*d = 20. Suppose 5*b + 4 = m, 2*m - 6 = -j*b + 2. Suppose b*i = -i. Solve -y = 3*f - i*y - 6, -y + 3 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - 2*w + 1. Suppose -5*c + 6*t + 17 = 3*t, 0 = 2*c - 2*t - 10. Let o be (-2 - -1) + c + 1. Let r = 0 + o. Calculate h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -420, -708, -1048, -1440, -1884?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248322175?\nAnswer: 5, 9932887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 12 + (-3 - 0). Suppose -w*n + 59 = -124. Let b = -59 + n. Solve b = -c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(2 - 2 - 5)*(-18848 + 84*q + 96*q + 18846).\nAnswer: -1800*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1.2. What is the nearest to l in 0, -2\/11, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - j**2 - 17*j - 60. Calculate a(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.75 greater than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420632024 to the nearest integer?\nAnswer: 20509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 6.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9911 and 2244.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10.13 times 0.1\nAnswer: 1.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + 5\/(-25). Suppose 2*g - g + 5 = z. Let i = 1241\/890 + 1\/178. Which is the third smallest value? (a) i (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 take away -11?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 28. Let z = 8 - d. Suppose -15 = 2*m - 5. Sort z, m, 0.3 in decreasing order.\nAnswer: 0.3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00243115985 rounded to 7 dps?\nAnswer: -0.0024312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331 + -285. What is the third derivative of g*v + 6*v**2 + 36*v - 87*v - 51*v**4 wrt v?\nAnswer: -1224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -923, -3280, -5651, -8036?\n\"Answer: -7*q**2 - 2336*q + 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q = 0. Let n be q\/(1*(-2 + 1)). Suppose 0 = u - n - 3. What is u rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 228343646 rounded to the nearest one million?\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*w + 4*g + 8, 0 = -4*g + 12. Let n(c) = -c**2 - 10*c + 12. Let v be n(-11). What is the greatest common divisor of v and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-280546)\/(-84)*(5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = 0, -4*s - 4*y = -3*y - 36 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**5\/5 - 3*p**4 + 26*p**3\/3 - 12*p**2 + 8*p + 12. Let w(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194041393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396 + 610 = 156*z + 602 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/6*u**4 + 2 + 9*u**2 + 6*u - 2*u**3. Let y(l) be the first derivative of d(l). Suppose y(v) = 0. What is v?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(55)\/sqrt(11) + sqrt(5) + -5.\nAnswer: -3*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 + 648*g**3 + 95287*g**2 - 3218436*g - 3313076 = 0. Calculate g.\nAnswer: -338, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -235, -483, -805, -1189?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/155172845 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:05 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8872 is divided by -2 + 1 + (-2472)\/(-103) + (-7 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 36, 13, -30, -99, -200, -339, -522?\n\"Answer: -p**3 - p**2 + p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2356*z - 1109*z - 1153*z)*(5*z**2 + z**2 - 2*z**2)*(-5 + 1 + 0).\nAnswer: -1504*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -628 - -629. Sort m, -2\/11, -0.1, 14\/11 in descending order.\nAnswer: 14\/11, m, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -4) + -23 + 33 + 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 38400?\nAnswer: 38400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z - 1. Let r(y) = -y**3 - 6*y**2 + 5*y + 6. What is 10*g(a) + 2*r(a)?\nAnswer: -2*a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15840 and 167360?\nAnswer: 16568640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 28 = 3*z + x, -5*z + 32 = -4*z - 4*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnllknklnnnnikwilnn. What is prob of picking 3 k and 1 n?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 3*b**2 - 2*b - 2. Let k(s) = -4*s**3 - 5*s**2 - 4*s - 4. Suppose y = -4*d - 0*y - 19, 2*d - 5*y + 15 = 0. Calculate d*u(p) + 3*k(p).\nAnswer: -2*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/11 + 656*t**4\/11 - 31654*t**3\/11 + 90400*t**2\/11 - 5400*t = 0. What is t?\nAnswer: 0, 1, 2, 55, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/6 + 4*s**3\/3 - 5*s**2\/3 - 8*s + 591. Factor m(u).\nAnswer: -2*(u - 4)*(u - 3)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/72)\/11*-4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/6*((-182)\/42 + 5). Let s(w) = 7*w**2 + 3*w + 5. Let r(i) = -8*i**2 - 4*i - 6. Suppose 2 - 14 = -2*a. Determine a*r(d) + u*s(d).\nAnswer: d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viiiviviiiilcliv. What is prob of sequence vii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + 8)\/(3\/(-354)). Suppose 47 + 119*w**2 - 19 + 16*w - i*w**2 = 0. What is w?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 690, 0.4, 4, -1, -45 in descending order.\nAnswer: 690, 4, 0.4, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/171 - 55\/171. Let n = -4.7 - -0.7. Suppose -4*h - 2 = 2*w, 4 = 2*w - 0*w + h. Which is the nearest to 0.2? (a) n (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6800 is divided by 220?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431193955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500105 and 23113?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160421715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -54*v. Let n(w) = 4*w. Calculate n(o(l)).\nAnswer: -216*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 882 - 180. Suppose 61 - m = -f. Solve -15*b - 6 = -f*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 29. Let u be (-2)\/2 + -2 + 7. Suppose -u*v + 9*v - 420 = 0. What is the highest common factor of d and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 593 and 26.\nAnswer: 15418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169395 is divided by 493.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l + g, 2*g + 5 = 3*g. Suppose -31 = -12*u + l. Solve 10 = -u*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 58. Which is the nearest to -8? (a) 5 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31079 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-5)\/(10\/(-4)). Suppose 3*i + 75 = 6*i. Suppose 3*x - i = -b*x. What is the second biggest value in 0.4, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 8) in base 9?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43841246 or 3?\nAnswer: 43841246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - g - 4. Let b be 55\/(-40) + (-6)\/(-16). Suppose 3*h - 2*j - 2 = -15, -4*h - 6 = 3*j. Let y(i) = 1. Give b*o(x) + h*y(x).\nAnswer: 3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 5562*l**2 + 5587*l**2.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -r + 12, -2*w - 36 = -5*r + 9. Suppose 8*f - 58 = r*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90536269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l - 11*l**3 + 44*l - 5*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let m = 89961.02 - 89961. What is the third biggest value in m, v, 0.16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13233 + -211232302?\nAnswer: -211312201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + h + 2. Let p be d(2). Let c = -76 + 72. Let t = p - c. Calculate the greatest common factor of 16 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 8 + -6 - (-9 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7578)\/101040*8\/(-33).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 + 20*d\/7.\nAnswer: -d*(d - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125364*s**3 - 125363*s**3 - 16 + 49*s**2 - 402*s**2 with respect to s.\nAnswer: 3*s**2 - 706*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + sqrt(2448) + sqrt(2448) + 0 + -4 + sqrt(2448)*1*-2 + 1)**2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3239*l**3 + 61*l**2 - l + 6. Let m(j) = -12957*j**3 + 265*j**2 - 5*j + 26. Calculate 13*d(i) - 3*m(i).\nAnswer: -3236*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -76, -3\/8, -7\/3, -2\/9?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310055 is divided by 18195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 - 7*j**2\/2 + 25*j - 13. Let o be y(15). Calculate the greatest common divisor of o and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-75*(-4)\/(-16). Let d = 140 + h. Suppose 3*c = -4*k + k - 18, 5*c = 4*k + 51. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(14\/(-3))*49\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = 2*p - 28, 4*u = 4*p - 20. Let j be -21*1\/u*50. Calculate the greatest common factor of j and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12343.2 rounded to the nearest one hundred?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -543041 or -543040?\nAnswer: -543040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*r, 2*w + 9 = -0*w + 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1280011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 3*u - 9 = 5*g, 3*u = 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196 - 58*o**2 + 127*o**2 - 67*o**2)*(4 - 4 + o).\nAnswer: 2*o**3 - 196*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olbzyor. Give prob of sequence oyo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 66) + 12 + -82?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803 at most as big as 3603\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2)*2)**2 - (sqrt(76) + sqrt(76) + 0 + sqrt(76) - (0 + sqrt(1900))**2).\nAnswer: -38*sqrt(19) + 2220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007154 rounded to four dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o = 262 + 123 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28478, 121211, 275766, 492143, 770342?\nAnswer: 1110363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10086 and 3960518?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -c + 25, 12*y = 2*c + 8*y - 56. Calculate the remainder when 110 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 12, f - 2*f + 19 = 5*j. Let l(q) = 20 - q**3 + 7*q - 18 - f*q**2 + 8*q**2. Determine l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 384 - 460 = 0. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876*-2.\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 17*v**3 + 5*v**2 + v + 12. Let k(z) = 19*z**3 + 5*z**2 + 2*z + 14. Let w(j) = -6*k(j) + 7*p(j). Let o(y) = y**3 - y**2 + y. What is -5*o(s) - w(s)?\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8063782)\/(-4701)*(-18)\/(-249)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 110, 15727 in descending order.\nAnswer: 15727, 110, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.8 - -26.8. Which is the second biggest value? (a) 0.02 (b) 8 (c) n (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + o + 4 = -0*n, -4*n + 5*o = -11. Suppose 2*v = n + 13. Suppose 0 = -4*y + 21 + v. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/3 + 125*w**4 + 1981*w**3\/3 - 30607*w**2\/3 - 21884*w - 33440\/3 = 0. Calculate w.\nAnswer: -11, -1, 8, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j)**(-13)\/((j**(-5)\/j)\/j**(-2\/27)) assuming j is positive.\nAnswer: j**(-542\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 - 294*y + 2015. Calculate a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9 - 187*q**2 - 188*q**2 + 374*q**2. Let b be j(3). Suppose -4*f + 837 + 131 = 5*k, 4*k + f - 770 = b. What is the highest common divisor of k and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 1400 = -13*q. Let f = q + -101. What are the prime factors of f?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*q**4 + 12*q**3 - 98*q?\nAnswer: 456*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(30)\/((sqrt(180)\/sqrt(3))\/sqrt(6) + sqrt(10)) - (2*sqrt(9))\/sqrt(3)*4).\nAnswer: -15*sqrt(3)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 210 = -u. Let o = 46 - u. Let t(k) = 32*k + 11. What is the tens digit of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l - 1 - 6 - 4 + 5 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -118 in -1\/6, -5\/8, 1, -4\/7, 45, 5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 17.9. What is the third biggest value in 2\/9, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x + 4*q - 3 = 96*x, 4*q = -12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*p = 5, m + 488*p - 489*p - 2 = 0. What is the closest to 0.2 in 35, -8, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + (-67 - -90) - 33?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*g**3 + 188*g**3 + 314*g**3 + 144*g**3.\nAnswer: 482*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 1005?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534975 - 83998 = 30*g - 122893. What are the prime factors of g?\nAnswer: 11, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-65)*((612\/1)\/34 - (-417)\/(-24))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -64952 * -52\nAnswer: 3377504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 - 5 = 0. Find the first derivative of -6 + 3 + 1 - 4*a - r wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 9*w = 8787. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 93. Suppose 3*f + 6 = 0, -5*h = -f - x*f - 24837. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -12 + -12 + 12 - (1 - 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49836245209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.1. Let r = -460.9 - -460.6. Which is the closest to 2.7? (a) 4 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 772445 and 6929680?\nAnswer: 4465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128657482 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(500) + sqrt(500) + 0 + sqrt(500) + -2 - 2*sqrt(500)*-6) + 0 + 1*sqrt(500)*-6)**2*2.\nAnswer: -162016 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**3\/3 - 6*b**2 - 97*b - 116. What is the first derivative of q(g) wrt g?\nAnswer: -10*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5\/7 - 825*g**4\/7 - 56304*g**3\/7 + 57132*g**2\/7.\nAnswer: -3*g**2*(g - 1)*(g + 138)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17287 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2360*i**2\/7 - 44427004*i\/7 - 75300\/7.\nAnswer: -4*(i + 18825)*(590*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (99\/48 - 2) + (-4202)\/(-352)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44262?\nAnswer: 2, 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(325)*-3 + (sqrt(325) - (sqrt(325) + sqrt(325)*2)*-1) + (sqrt(325) - (0 + sqrt(325) + 0)) + sqrt(325) + sqrt(325) + 5)**2.\nAnswer: -1500*sqrt(13) + 292525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 43*f**3\/6 + 41*f**2\/2 - 24*f. Differentiate t(r) with respect to r.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r. Let b(o) = -9*o**2 + 2*o. Suppose -u = 4*m - 4 - 100, -u + 116 = m. Suppose 33*q = -27*q - u. What is q*x(h) - b(h)?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608243 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1 in -10, 2, 3, 5019, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 9. Let z be -26 - ((-12 - -11) + (-17 - -10)). Let b(h) be the first derivative of 3*h**2\/2 + 60*h - 1. Let s be b(z). Determine f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17941 + 17953. Let d = -503.555 - -491.4. Let f = d + c. What is f rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvp when four letters picked without replacement from vvppvpvvvvvpvpvvvvvv.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 28*a + 18109. Let n = 1072 - a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**2 + 7*a - 2582. Determine j(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 0.3?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 926 = -5*q - 222, 2*q = 5*k - 913. Let t = 199 - k. Solve 4*j = -o + 3*j + 7, 4*o - j - t = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*o = 6, -2 = -3*l + 4*l + o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650852 and 28800?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/(-15) + 5 + (1 - 3). Let v = -4727\/15 - -315. Let h = 71 - 70.8. Which is the closest to f? (a) h (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j - 3*j**2 + 4*j**2 + 6*j + 18 - 7*j. Let a be (-2)\/15 - (-1 - (-1351)\/105). List the prime factors of s(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - -522. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -789 - -841.7. Let t = l - 53. Which is the biggest value? (a) 1 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5439 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1141 - -1140. What is the second biggest value in 1\/10, -1\/5, 0.036, g?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*c - 10806 - 511 = -97 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2629 + 2239. Is -414 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/11)*d)\/d*d*(d*d*d**0)\/d*(d**(-1))**(2\/25) assuming d is positive.\nAnswer: d**(753\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -138 - -1.07\nAnswer: -136.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 31*a + 106. Give r(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307010336.\nAnswer: 2, 9594073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxuuungu. Give prob of sequence xg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -41) + 4 + -40.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*(6 - 0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 15. What is the biggest value in r, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:13 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.4 (c) 1030 (d) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 106.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f - 17. Let h be c(4). Let m = h - -5. Suppose 3572 = m*d - 4*g, 0*g = -3*d - 3*g + 2655. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4926 and 1242.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/8*y**5 + 0 - 3\/2*y**2 - 9\/4*y**4 - 27\/8*y**3 + 0*y = 0. Calculate y.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h*h*h\/h**3)**27*(h**(-2\/3))**(-4\/23)\/((h*h\/(h*h\/(((h*h\/h**6*h)\/h)\/h)))\/(h*h**(-4)*h)) assuming h is positive.\nAnswer: h**(4801\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 58497*f - 10 + 58506*f - 117013*f + 28 - 11.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-8\/7)))\/q**(-1\/13)*(q*q*q**(1\/3)*q)**(29\/2))\/(((q\/(q**5\/q*q))\/(q*q\/q**(3\/7)*q*q))\/(q**(-7)\/q**(-1\/3))) assuming q is positive.\nAnswer: q**(13151\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*m - 29, m - 5 = 5*r - 0*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*(n\/(n\/(n**(-3\/2)*n)))\/n))\/n*n*n\/n**0*(n*n**0\/n)\/n**2*(n*(n**0*n)\/n)**0\/(n\/(n\/(n\/n**(-4\/7)))*n**(1\/5)) assuming n is positive.\nAnswer: n**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 6*i**2 + 7 - i**3 - 3*i - 4*i - i. Let l be c(-5). Factor -4*k - k**5 + 2*k**3 - 2*k**4 + 8*k**4 + 3*k**5 - 7*k**2 + k**l.\nAnswer: 2*k*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26, -1\/7, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131 + 384 = -554*y + 155 - 3072 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -5*x - 393, 3*n - 9 = 0. Let d = -110989\/22 - -5049. What is the common denominator of ((-4)\/(-30))\/((-16)\/x) and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 304 - 289. Let h be i\/3 - 2\/4*2. Solve 9 = -2*x + g - 0*g, -3*g + 17 = -h*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 44 + (0 + -14 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 2. Let p(a) = 15*a**2. Determine p(u(t)).\nAnswer: 540*t**2 - 360*t + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2019294 divided by 34\nAnswer: -59391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247154.\nAnswer: 2, 191, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from {e: 5, r: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 285782 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35323 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -68.0077. What is p rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 5*q + 1 - 6*q. Let r = 802 - 810. Is 43 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -605 + 622. Let j(z) = z**3 + 5*z**2 + 4*z + 5. Let y be j(-4). Solve a = -5*k + 22, 0 = -4*a + y*k - v - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 1308.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89266 bigger than 88086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03972362744 rounded to 3 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 - 5)*(-6*p - 6*p + p) + (5*p - 2*p + 0*p)*(5 - 2 - 1).\nAnswer: -148*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(31\/4743*-30*(-18)\/(-15))\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*f = 121*f - 70. Suppose 24 = -0*h + 2*h - 2*y, h - 3 = -2*y. What is the second derivative of -f*v - 11*v**4 - h*v**4 + 5*v - 10*v wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -6*5\/(-180)*6. Let q(r) = 2*r + 9*r**3 + 6*r - 5*r - 5*r**2. Is 9 a factor of q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62894230 times -12\nAnswer: -754730760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 77?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2888 + 2885. Is 5772 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*l**2*x**5 - l**2*x + 2*l**2 wrt x?\nAnswer: 2980*l**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*z + r, 13*z - 11*z + 3*r = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(252)).\nAnswer: -18 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7550514*q**3*w**3 - 2*q**3*w**2 + 2*q**3 - 2*q**2*w - 10231*q*w + 9*w**2 - 4 wrt w.\nAnswer: 45303084*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*k + 845*k = -4050 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 0. Let c = 91 + -453\/5. What is the nearest to 2\/9 in c, z, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(-4 + sqrt(448)*3 + sqrt(448)*2 + 2)*-2)**2.\nAnswer: -1613376 + 23040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 48. Determine m(-9).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v - 0*v. Let h = -100 - -52. Let j be (-16)\/h*(v - 11\/(-2)). What is the second smallest value in 0.3, j, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21 - -24)\/(3\/74) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 56 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-14))\/((-546)\/104))\/(2\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(448)*2 - (((sqrt(567) + 0)*-3 + sqrt(567) + sqrt(567))*-1)**2.\nAnswer: -563 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 = 46*h + 30*h - 584 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2350 + 2318.22. Let n = 5 - 37. Let k = n - f. What is k rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -220*n**2 - 121. Let o(s) = -11*s**2 - 6. What is 6*f(w) - 121*o(w)?\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -129424159988+0.2\nAnswer: -129424159987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -331\/42 + 49\/6. Let k = -23 + 12. Let h = 11.2 + k. What is the closest to m in -2\/3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1673507958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuurur. Give prob of picking 2 r and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/(p\/(p\/p**4)*p)))))**(-3\/13) assuming p is positive.\nAnswer: p**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30562.47 nanometers in micrometers?\nAnswer: 30.56247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 + 4. Let q be v(0). Calculate the remainder when 2 is divided by (2\/q)\/(1\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/5 + 168*v**3\/5 + 483*v**2\/5 + 318*v\/5.\nAnswer: 3*v*(v + 1)*(v + 2)*(v + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2662 + 0.2662. Which is the nearest to 4? (a) 4.9 (b) t (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*c)*(-5 + 2 + 5)*(2 - 2 + 3*c).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12812, -25626, -38440?\n\"Answer: -12814*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 419*b**2 - 6*b - 6. Let a be w(-1). Suppose -2*r = -4*n - 2038, -4*n = r - 630 - a. Suppose r = 3*v - 870. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.044 + -0.256. Let k = 41.5 + u. Which is the third biggest value? (a) 2\/3 (b) k (c) 0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/3, -73.\nAnswer: -73, -1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(45\/(-3)))\/(2\/(-6)). Let m be 0\/(3\/(15\/i)*-5). Solve 4*v - 4*z - z = m, -z = 3*v + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 65796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309447 is divided by 574.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 24. Let f be 4\/z*(-18)\/4. Suppose f*o = 2*o - 67000. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 112?\nAnswer: -111.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52344718.\nAnswer: 2, 131, 241, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:06 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22941094 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -37, -30, 3, 68, 171, 318, 515?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:43 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275 by 2.\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 3*n + 4*v + v, 0 = 2*n + 5*v - 313. Suppose -4*x = -0*x - n. Suppose -175*m = 63*m + 342*m - 23780. What is the highest common divisor of m and x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/87 - 253\/174. What is the third smallest value in t, -1\/7, -1.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 308167.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 3*c**2 - c - 2. Let g be b(3). Let r be 3865\/(-25) + (-3)\/g. Let s = 237 - r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 16 = -24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/12)\/(5\/(-15)). What is the second smallest value in -6, h, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2295 and 57222?\nAnswer: 858330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294366 by -98122.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 4572253*x + 4572253*x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3 + 4)*-11. Suppose a + 36 = 3*a. Let m = a + y. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1045 and -0.1977.\nAnswer: -0.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 1 + 3*c**3 - 6*c + 2*c**3 + 3*c - 3*c**2. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56809 is divided by 13995?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231420 + 10?\nAnswer: -231410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117883 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (102 - 211) + (-1 + 0 - (7 + 1)) + -2\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-7) - 24\/(-56). What is the nearest to -1\/4 in 3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3 (b) 8 (c) 2\/19 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17387658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(7\/4))**(-30)*((m\/((m\/(m**(-26)\/m))\/m*m))\/m)\/m**(-9) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11 and 27\/106?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16137848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1050, -2834, -4872, -7290, -10214, -13770?\n\"Answer: -21*t**3 - t**2 - 1634*t + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 3, d: 5, x: 1, e: 1}. Give prob of picking 1 p and 3 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - (-28)\/6. Suppose 2*k + 4*y - i = -y, -2*k + 4*y + 4 = 0. Suppose x = 4*u - 6*u + 6, 6 = 3*x + k*u. Solve x = -3*b + b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65970\/495 - (-6)\/(-22). Let m(k) = 4*k**2 + 2*k - 1. Let t be 1 + 0 - -1 - 0. Let h be m(t). Calculate the highest common divisor of h and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let r(l) = -1080*l**2 + 23*l + 1. Determine c(r(v)).\nAnswer: -1080*v**2 + 23*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 2*v - 1. Let p(a) = -5*a - 12 - 3*a**2 + 14 + 2*a**2 - 8*a**2. Calculate -2*p(h) - 5*z(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -1216652.\nAnswer: 21899736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, q: 3, i: 1, f: 7}. Give prob of picking 2 a.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*a = 430*a + 28962. List the prime factors of a.\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14099205 divided by 48.\nAnswer: -4699735\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i + 192 = 0. Suppose 43 + 67 = 5*q. What is the remainder when i is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**4 + 3*y**4 + 9*y**4 + (-4*y**2 + 4*y**2 - 3*y**2)*(-y - 36 + 2*y + 33 + 17*y**2) - 3*y**2 - 2*y**4 + 3*y**2.\nAnswer: -50*y**4 - 3*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.522 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -801, -693, -593, -501, -417?\n\"Answer: -4*z**2 + 120*z - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*b**2*t**3 + b**2 - 54*b*t**3 - 5047*b*t**2 wrt t.\nAnswer: -174*b**2 - 324*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**47\/(k**(-2\/9)\/k)**7 assuming k is positive.\nAnswer: k**(500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.3 + -5319.6. What is n rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/20)\/(-3 + (-27)\/(-15)). What is x in 2\/5*x**5 - 64\/5*x**t + 0 + 64\/5*x**3 - 4*x**4 + 0*x = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 5. Let u(b) = 5*b - 6. Let g = -152 + 155. Calculate g*u(s) - 4*x(s).\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212013 (base 9) to base 4.\nAnswer: 110300100123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 130442?\nAnswer: 131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2754 - 1?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 161. Suppose g = 5*i - 0 + 15. Suppose 4*h = -11 + 3. Is i at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.54 - -34. Let b = j - 11.46. Let x = 2 - 2.4. What is the third smallest value in x, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/25)\/t*t)**(-4\/9)\/(t\/(t**3*t))**41 assuming t is positive.\nAnswer: t**(27683\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 0.3, 0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/137433 and -55\/20277?\nAnswer: 1236897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*a**4*u + 82*a**3*u**2 + 4612*a**2*u**2 + 2*a*u**2 + u**2 wrt a.\nAnswer: 2664*a*u + 492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -277368 divided by 8?\nAnswer: -34671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31.21307*10\nAnswer: 312.1307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4706 - -197?\nAnswer: 489d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.001. Let i = 16.651 - j. Let f = i + -17. Round f to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 2 + 77 + -151 + 12\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + 2*m, -l = l - 3*m - 8. Let n be 0\/3 - l*-1. Suppose 2*j - n = 59. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*a = -28, 3*b = 2*a - 0*a - 20. Suppose 5*c - 5*l + 5 = 0, c + l - 2 = -l. Let d be -2 - 0 - c\/1. Sort d, 3, b in descending order.\nAnswer: 3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o)*(-52*o + 103*o - 52*o - 430).\nAnswer: 2*o**2 + 860*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4218 + -238. What are the prime factors of l?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {n: 1, e: 4, z: 1, j: 4, v: 1, s: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59453.76 millimeters to micrometers.\nAnswer: 59453760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**8 - 5*h**4\/12 - 5*h**3\/6 + 282*h**2. Find the second derivative of o(w) wrt w.\nAnswer: 6720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -319*i + 1613. Let n be b(5). Solve -2*d - 1 = g, 20*d - 17*d - n = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 * -3\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (138\/32)\/(24\/(-36)*(-198)\/16) and ((-221)\/1131)\/((-8)\/6).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxuxuxxxx. What is prob of picking 1 u and 1 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**2*u**2 + 264*s**2 + 2*u**2 - 305 with respect to s.\nAnswer: -4*s*u**2 + 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 36 = 4*i, 0 = -3*q - q. Suppose 4*p - i - 15 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**23*s**17*s**(-20)*s**(-2\/21) assuming s is positive.\nAnswer: s**(418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459.0142l to millilitres.\nAnswer: 459014.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = -z, -3*z - 2*z + 27 = 3*h. Suppose z*b = 2*b + 16. Solve -5*m - b - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + 9. Let o(u) = 3*u - 1. Let z be o(y). What is the units digit of (8\/z)\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 26 - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-170)\/(-16) + 82\/656 - 10. Which is the fourth biggest value? (a) 1 (b) 2\/5 (c) -4 (d) 0 (e) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -6. What is the remainder when (-185)\/(-15) - k\/3 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 7:49 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from odwodddxdxmeodewo.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2254718 smaller than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -2, 1, 6?\n\"Answer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 117*q + 824. Let j be d(-7). Let a(n) = n**2 - 11*n + 15. Let r be a(8). Sort j, 2, 8, r.\nAnswer: r, 2, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) 2 (c) 32 (d) 4\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 37*m + (12*m + 54*m + 4*m)*(-1 + 1 + 2) + (4*m - 2*m + 0*m)*(-1 - 2 + 1).\nAnswer: 99*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 3*j**3 + 2*j**3)*(-4 + 4 - 4)*(3 - 1 + 3)*(2 - 4 + 0).\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6478988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -5 (b) 1631 (c) -0.16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - sqrt(832)\/sqrt(2))*-2)\/((sqrt(176)\/(sqrt(8) - (-4*sqrt(8) + sqrt(8))))\/sqrt(11)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/94339 and -31\/7.\nAnswer: 94339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 14*w - 52. Let b be j(-3). Suppose -3*a = -3*y + 30, 0*y = 5*a - 4*y + 45. Put 0, b, a in descending order.\nAnswer: 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 80 - 96 = -5*y, -3*w = -8*y + 285. Let z be ((12\/(-2))\/(-2))\/1. Suppose z*o = 17 + 31. Calculate the lowest common multiple of y and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -17.14.\nAnswer: -34.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 916993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52 - 28c9fd?\nAnswer: -28c9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(12\/13)\/j**(1\/12))\/((j**(1\/4)*j)\/j*j)**(-48) assuming j is positive.\nAnswer: j**(9491\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1af236 + 2?\nAnswer: -1af234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -16*w**2 - 4 + 51*w**2 + 6*w**2 - 5*w. Let m be l(-1). What is the greatest common divisor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -5, -8\/13, 0.3 in descending order.\nAnswer: 0.3, -8\/13, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckkouzokukcekkokkk. Give prob of sequence kkz.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(-1\/60)*n**(-1))\/(n**36\/n**(-1\/6)))**(-11) assuming n is positive.\nAnswer: n**(7513\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*t + 5*t + 50 = 0, 2*m - 30 = 5*t. Suppose 0 = n + 4*n - m, -5*k = -n - 576. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*z - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -428, -1690, -3786, -6716, -10480, -15078, -20510?\n\"Answer: -417*d**2 - 11*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j)**(-7)*(j*j*(j*j**(2\/11))\/j*j*j)\/j*j*j*j*((j**(-9\/5)\/j)\/j)\/j assuming j is positive.\nAnswer: j**(613\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (152\/(-24) + 6)*-120?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -566043 + 278493275\/492. What is the common denominator of -31\/738 and s?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + f + 10 = 0, 2*f = 5*s + 6*f - 23. Suppose -3*n + 4*c + 69 = -0*n, 2*c = s*n - 75. Let z = n + -9. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/(-8) + 296\/(-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 - 2*q - 1. Let a be w(3). Suppose 0 = 4*y + 2*c - 26, c - a*c + 1 = -y. What are the prime factors of 390\/25 + y\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 110. Suppose 5 = -z + 3. Put z, b, -3 in ascending order.\nAnswer: -3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/2 - 9. What is the common denominator of -123\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-574*n**2 + 474*n**2 + 1 + 2*n**3 + 0*n**3)*(4 - 9 + 0) in the form t*n**2 + a*n**3 + j + i*n and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 11*r = -5. Let a(n) = 2*n**2 - 10*n + 3. Let f be a(r). Let v be 5\/(-15)*-27 + (-2)\/2. Put f, 5, v in decreasing order.\nAnswer: v, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232448027.\nAnswer: 7, 911, 36451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3047 - 1081*l + 1086*l - 400 + 219.\nAnswer: 5*l - 3228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-40)*-3*(-20)\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d + 3*p - 1, -13*d + 4*p = 13. Let o(j) = -9*j**3 + 3*j**2 - j - 1. What is o(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 0*g**2 - 5*g**2)*(-1 - 1 + 5) + 5*g**2 + 0*g + 0*g + (3*g + g - 6*g)*(3*g + 0*g - 2*g) + 173*g**2 + 421*g**2 - 490*g + 490*g.\nAnswer: 591*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**3 - 1350*w + 7*w**2 + 887*w - w**3 + 0*w**3 + 7*w**3 to the form g + o*w**2 + f*w + p*w**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97591121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/1*6\/(-78)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55349 is divided by 768.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1 + 0*u - u - 2. Let q be 0 + 2 - (3 - 0). Let d be (1 + 1)*q - -4. Let n(y) = -3*y. Calculate d*s(p) - n(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1822.8 + -1823. Let w = -0.9 - -1. What is the nearest to w in 1, n, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*c**4*y + 20292*c**4 + 2*c**2*y - 296*c**2 - 91*c - 9*y wrt c?\nAnswer: -2232*c*y + 487008*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 17 - (1 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 + 3*o - 6. Let s be j(-4). Is s < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 6*p. Let c be u(-5). Let h = -962 - -966. Suppose -4*z - 2 = z - h*w, -4 = 5*z - 3*w. Sort z, c, 3 in decreasing order.\nAnswer: c, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -14, -4.\nAnswer: -14, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3. Let i(v) = -7*v**3. Let g be 3 - (12\/24 - (-7)\/2). What is g*i(h) - 3*j(h)?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 15.316?\nAnswer: 107.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9.6. Let f = -2.6 - i. Let z = 4 + -5. What is the biggest value in -0.5, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14690213 and 1151.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -377122 + 377123. Let z = -185 - -125. Is z at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 + k + 1. Suppose -4*n = -3*n + 1. Let p(s) = 2*s**3 + 4*s**2 - 9*s - 7. Let a(d) = n*p(d) - j(d). Does 9 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*j + 2*o, 3*j - 16 = o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let r = -274 + 300.9. Let p = -27 + r. Which is the closest to p? (a) -2\/7 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 1. Let b be j(1). Let k(m) be the second derivative of m**4\/12 + 2*m**2 - 7*m + 36. Give k(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 517290 and 50310.\nAnswer: 20174310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:17 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012909 to four dps.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + g**4 + g**3 + (2*g**3 + 7*g**3 - 75*g + 74*g)*(-2 + 2 + 3)*(-2*g + 0 + 0).\nAnswer: -53*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:24 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) - (-61)\/2. Let a = p + -12. Solve 3*l = 6, 2*f - 5*l + a = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = -z. Let b = 154 - 102. Suppose 3*a - 83 = b. What is the remainder when a is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.266 and 7.\nAnswer: -1.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 192 = -o. Let a be (-2)\/(-9) + o\/36. What is the third derivative of -5*z**6 + 119 - 119 + a*z**2 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1459 - -1053?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 + -201. List the prime factors of -5*(596\/(-8) + 3\/d).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i. Let k(x) = -83 + x**2 - x - 84 + 167. Determine p(k(y)).\nAnswer: 9*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*k + 5 = 0, w - 3*w - 3*k = 0. Calculate the common denominator of (-40)\/(-1*4)*(-20)\/112 and (417\/(-36))\/(-4 + w).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1)*12\/9. Solve -3*r = -c*a - 4, -r - 4 = 4*r - 4*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y = 0. Suppose y = 5*m + 173 - 58. Let i = -16 - m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 37.999768. Round p to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -267*n + 2021. Calculate the remainder when 269 is divided by z(7).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585725 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 44. Suppose -5*h + c*h + 6 = 0. Suppose 5*b + w - 10 = 0, 5*b + h*w - 1 = 4. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67663 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -2\/5 (c) 15\/2 (d) -3.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 251717, 251695, 251673?\n\"Answer: -22*o + 251739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782226 is divided by 28857?\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 2668626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + a - 7*a + 2*a**3 + 2*a.\nAnswer: 5*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 1.59. Let y = -6.5 - o. What is the third biggest value in -0.5, 3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 5584*b**3 - b**2 - 5584*b.\nAnswer: b*(b - 1)*(b + 1)*(b + 5584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from nnnnnnonnnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 15239?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 3. Suppose -2*b - 3*r - 13 = -4*r, -3 = -3*b - 3*r. Let w be s(b). Let c be 12\/1 + (-6 + 8 - 6). Solve -w*i + 12 = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 7760 - 7779 = -5*j, 0 = 3*y - 4*j + 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4639*q**2 + 2*q + 6. Let d be i(4). Suppose -d = 47*y - 53*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/36 - 5\/3 - (-13)\/4. Solve a*j + 9 = -5*s, -6 = 4*s - 15*j + 18*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69\/590 + -1\/59. What is the third smallest value in -5, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43655 times -2?\nAnswer: -87310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7183 to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffffzzczzzffzc. Give prob of picking 2 c and 1 f.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87731355?\nAnswer: 3, 5, 131, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-12)\/(-45)))\/(1\/64*12)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 29. Suppose -h*c - 3*n = -n + 163, -54 = c + n. Let u = -31 - c. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*j + 4*q, -j = 4*q - 17 - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/(10\/12*(-41)\/(-82)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*10516.\nAnswer: -31548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) -3.1 (b) 1\/7 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 7*p + 12 = 0. Suppose 2*y = 3*z + 271, -6*z = p*y - 3*z - 414. Let t = y - 50. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/(-9))*(-288)\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4157 is divided by 119?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 25\/4, 1, 0, 2\/25, 756?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**5 + 2*c**3 + 6*c**2 - 4*c. Let k be 75\/30*((-4)\/(-5))\/2. Let p(v) = v**4 + v**5 + 4*v**3 - 4*v**3. Let g(n) = k*j(n) - 6*p(n). Solve g(s) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53818 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*n + 211, 4*n + 2*u = -353 + 115. Let r = n + 101. Let k(j) = -r + 2*j**2 + 39. Let a(h) = -7*h. Give k(a(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 10*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 60119661.\nAnswer: 60119659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63536338049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 775171\/3 or 6\/5?\nAnswer: 775171\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/((y*y**2*y*y*y)\/y))))**(3\/8)*(y**(2\/7)*y)\/y**6)**(-15) assuming y is positive.\nAnswer: y**(1305\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.193?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10796 or -10797?\nAnswer: -10797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6377 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5187662*w**4 - 10572494*w.\nAnswer: -62251944*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(-10))\/(2\/10) and -127\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 4*w - 5*w)*(-1 - w + 3 - 6)*(-2 + 4 + 0) to the form x + i*w + h*w**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -543 and -0.0874.\nAnswer: 47.4582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from bymmh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4\/3))\/j**2)\/(j*j**1\/j)**(-2\/55) assuming j is positive.\nAnswer: j**(61\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**2 + 88*w - 123. Give t(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2149 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)*1)\/sqrt(5)*-6 - 4*(-5 + sqrt(32) + -3 - sqrt(32)).\nAnswer: 12*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 6*a**2 - 5*a + 2. Let m be d(3). Let z be 2*5 + (13 - m). Calculate the greatest common divisor of 36 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 4573597.\nAnswer: 22867985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h + 4. Let v(i) = 20*i + 11. Let f(s) = -17*l(s) + 6*v(s). Let d be f(6). Solve -6 = 2*k - u, -d*u + 2*u = 4*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-14)\/(-13) - 1). Let z be 1\/(1812\/904 - 2). Suppose -125 - z = -3*f. What is the greatest common divisor of f and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3315 and 179\/2550?\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 - 30 = 0, 4*s = 3*z - 3236. Let i be 35\/3*z\/120. Let m = i + -104. Which is the nearest to -0.1? (a) 3\/2 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -2, 0.02, 0.3, -11\/224?\nAnswer: -11\/224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -476 at most -83147\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-156)\/(12\/2)*15\/(-54) - 7. What is the nearest to 4 in p, -5, 4\/21?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000110 (base 3) in base 16?\nAnswer: 5be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857797977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 213. Let f = i + 274. Calculate the greatest common factor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 + 0*f**2)*(f - 4*f + 4*f) + (7*f**2 + 2*f**2 + 2*f**2)*(-2*f - 2*f + 2*f) - f**3 - 4*f**2 + 4*f**2 + 4*f**3 - 2*f**3 - 3*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4578\/(-2940) + 1\/2*3\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -97 * 2950\nAnswer: -286150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*r = 5*r - 269, 4*d = 3*r + 473. List the prime factors of d.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18242, 18078, 17806, 17426, 16938?\n\"Answer: -54*a**2 - 2*a + 18298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 436733 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2185.508l to millilitres.\nAnswer: 2185508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 1\/7, 5, 1, 2\/15 in decreasing order.\nAnswer: 5, 1, 1\/7, 2\/15, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/6 - 17*o\/6 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 4793 = -1077. List the prime factors of r.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857074 is divided by 1848?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - (-107)\/3. Let v(y) = 2*y**2 + 35*y - c*y. Let m(p) = 3*p**2. Give m(v(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*x - 5, 21*u - 20*u = -4*x - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 - 5*u**4\/12 + 4*u**3\/3 - 2*u**2 - 5*u. Factor m(n).\nAnswer: (n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = h - 4*d, 4 = 5*h + d - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, e: 12, s: 3}. What is prob of picking 2 o and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137486 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + c + 3 = -f, -4*f - 36 = -4*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 0. Let d(i) = i**3 - i**2 + i. Let p be d(c). Let s be 9\/(-5) + (0 - -2). Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccgccgcgccccwcwccgw. What is prob of sequence ggc?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1550315 and 231251.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 239*r + 235*r = -16, -r + 24 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 5*w + 2. Give c(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 143\/410, 0.02, -14, 1 in descending order.\nAnswer: 1, 143\/410, 0.02, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 14739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 3, -1\/3, -193, -0.08?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 4 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 + 3*t + 2. Let w be j(3). Let g = 6 + w. Let n = -545 - -548. Sort g, -2, n in descending order.\nAnswer: n, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-2)*(-1344)\/1232.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 388710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 + 39*k**3 - 11*k**3 - 13*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 1)*(5*q + 1 - 1)*(-3*q + 5*q + q) to the form v*q + h*q**2 + j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -3 (c) -5 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2\/7 in decreasing order.\nAnswer: 6, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 13663?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2666331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 42, 104, 212, 378, 614, 932?\n\"Answer: 2*r**3 + 5*r**2 - r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6011?\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l - 36 = -5*j - 24*l, -5*l = 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -7 - (44 + -63)) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 137, -159, -15?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a**3 - a**2 + 524*a - 338290 wrt a.\nAnswer: 51*a**2 - 2*a + 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:48 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwhw. Give prob of sequence cw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 484889?\nAnswer: -20\/484889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*g + 2457 + 45, 2*g + 3*u - 1005 = 0. Let m = 837 - g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -1) + (-38 - -47). Let c be 2\/(6\/(-121)) - 18\/(-54). Let n = 40 + c. Sort d, -2, n in increasing order.\nAnswer: -2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32210 - -33?\nAnswer: 32303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t - 106 = -735 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 21. Let f = o - -11. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7698\/19 - 183175\/456. Is q != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3623800*b**2 + 2704327*b.\nAnswer: -7247600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**22))**(-21\/4) assuming h is positive.\nAnswer: h**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 38*r**2 - 19*r - 36. Let h(o) = -2*o**3 - 37*o**2 + 18*o + 35. Let l(b) = 2*g(b) + 3*h(b). What is the units digit of l(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - w - 2. Let u be a(-3). Let s = -30 - u. Suppose -28 = s*h - 103. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-12 + -3 - -9 - -26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -9)*12\/3. Let v = g + -29. Suppose -v*u - 16 = 4*k + 19, -4*k - 2*u - 30 = 0. Do k and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 28 = 4*h, q + 2*q - 4*h = 2. Find the first derivative of 3*v**2 + 4 - q - 2*v**2 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -53. Suppose u = 10 - b. What is the third derivative of -30*j**2 + 1051*j**3 - 1051*j**u - 7*j**6 wrt j?\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2525, -2, 5 in decreasing order.\nAnswer: 2525, 12, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:08 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.322667kg?\nAnswer: 4322.667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 7. Let a be c(3). Is a less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a**2 + 2595*a - 594. What is i(185)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(2 + 2)\/4. Suppose -2*x + 3 = -b. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 18. Let y(r) = r**3 - 6*r**2 - 7*r + 5. Let w be y(f). Suppose -4*j + 44 = -a + w*a, -j - 37 = -3*a. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249650232?\nAnswer: 2, 67, 967, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260423 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*j = -0*j + 1112, -f + 2*j - 556 = 0. What is the tens digit of 2\/10 + f\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 13 (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 15*m**2 - m + 27. Let n be r(15). Solve -19 = 2*s + 4*y - 21, -3*y - n = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21242766?\nAnswer: 2, 3, 3540461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*c + 3)*(20*c + 20 - 20) in the form v + d*c + z*c**2 and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 7. Let s be -9*(-7 - (v - 1)). Suppose -3*t + s = t. What is the smallest common multiple of t and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3 + 6. Suppose 3*w = 9 + h. Let b = -80 - w. Round b to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 23549, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17231\/5 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 + 803?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - -43. Let r = t + -36. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 2 = 4*a. What is the remainder when 45 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d*d\/d**(-2\/21)*d)\/(d*d**11))\/((d**12\/d)\/(d\/(d**7*d))))**22)**(-3) assuming d is positive.\nAnswer: d**(11506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:01 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**(-3\/4))*o*o)\/(o**(-1\/11)\/o*o)*o**8\/o**(-3\/11) assuming o is positive.\nAnswer: o**(467\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s. Let n(j) = 535*j - 271*j - 2*j**2 - 284*j. Determine o(n(u)).\nAnswer: 10*u**2 + 100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/18*(-372)\/(-496)*3\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 1. Let q(z) = -7*z**2 + 5*z + 5. Let a(n) = q(n) - 5*v(n). Let i(k) = -23*k**2. Give i(a(w)).\nAnswer: -1127*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23122111 (base 5) to base 12.\nAnswer: -a02b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22112 - 21990. Solve -5*o = -k*h + 118*h + 15, -2*o = -5*h + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + 2*p**4 - 2*p + 4*p**4)*((p - 3*p + p)*(-2 + 3 + 4) - 2*p + p + 3*p + (0*p - 2*p + 0*p)*(2 - 5 + 5)).\nAnswer: -7*p**5 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -8\/3*v**3 + 1\/2*v**2 - v + 4. What is j(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1326 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3 + 1 + 3*d + 6*d**2 - 2*d**2. Suppose 4*c + 8 + 3 = 5*m, 0 = -5*c - 4*m - 24. Let g(k) = 5*k**2 + 4*k + 5. Give c*l(z) + 3*g(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*(8 + (-11)\/1 - -2). Put -1, g, 5.1 in decreasing order.\nAnswer: 5.1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99587 in -31, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**2 - 23 + 23 + (561*o + 669*o + 55*o)*(1 + 2*o - 2*o - 2*o) to the form x*o**2 + h*o + r and give h.\nAnswer: 1285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2453042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4, 3\/5, 0, -2\/149, 3 in descending order.\nAnswer: 4, 3, 3\/5, 1\/5, 0, -2\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*o**3 + 1799*o**2 - 3599*o**2 + 1798*o**2 + 1 + 3*o**3 - 7*o to the form g*o**3 + w*o**2 + u*o + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*p - 12 = 0, 3*b + 3*p = 25 + 17. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/180 and 179\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**13)*j\/(j*j\/(j**(-1\/7)*j))*j*(j*(j*(j**(-2\/7)*j)\/j*j)\/j)**(-44) assuming j is positive.\nAnswer: j**(-613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.1 greater than or equal to -0.063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.09012788 to 3 dps.\nAnswer: 41.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1026624 - 45541?\nAnswer: -1105465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 75 = -3*c. Let b = -13 - c. Suppose 39 + 38 = b*t + v, -2*t = -v - 31. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let n(q) be the second derivative of q**7\/504 - 7*q**5\/40 - 151*q**4\/12 + 70*q. Let c(j) be the third derivative of n(j). What is c(g(d))?\nAnswer: 20*d**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 26 + 6. Let w = -5 + c. Suppose w = 2*b + 1. Sort 0, b, 2 in decreasing order.\nAnswer: 2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17844 - -17894. Calculate the remainder when i is divided by ((-2)\/4)\/(9\/(-702)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - -1433.9.\nAnswer: 1432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.93, -3\/2, 3 in decreasing order.\nAnswer: 3, 0.93, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/18)*t*t\/(t\/t**(-2\/15)) assuming t is positive.\nAnswer: t**(73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 362, 1025, 1962, 3173, 4658, 6417?\nAnswer: 8450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*f + 4*l, -3*l + 43 = 5*f - 4*l. Calculate the smallest common multiple of 33 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 18656 = 6*v, 7*o - 8*o = -3*v + 9335. List the prime factors of v.\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1160, 3750, 7810, 13346, 20364, 28870, 38870?\n\"Answer: d**3 + 729*d**2 + 396*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8\/(-6))\/(12\/(-18)))\/1. Put c, 3, -3, -5 in ascending order.\nAnswer: -5, -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 248\/118 - (16\/(-4))\/(-2). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003537702 rounded to six decimal places?\nAnswer: -0.003538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 345606088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275956122?\nAnswer: 2, 3, 13, 3537899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 4. Let c(z) = 2*z**2 + 53*z - 28. Let s be c(-27). Let j be (-8 - 5\/5)\/(3\/s). Let t(b) = 2. Let p(a) = j*o(a) - 6*t(a). Give p(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904, -1779, -3232, -5257, -7848, -10999, -14704, -18957?\nAnswer: -23752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78785 + -28117. List the prime factors of t.\nAnswer: 2, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 3*a + 3*a**2 + 2*a**2. Suppose 0*w = -3*w - 6, k - 5*w - 10 = 0. Let s = 1 - k. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -c + n - 28, 32 = -2*c + 2*n. Let u be -3*(4 + 76\/c). What is the closest to -0.1 in -0.3, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (369\/15)\/(-8*(-24)\/(-960))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**3 + 16*u**2 + 16. Let z(i) = -3*i**3 - 5*i**2 - 5. Calculate 5*f(a) + 16*z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5343\/8 + 666. What is the common denominator of x and 25\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjhq when four letters picked without replacement from {p: 4, h: 8, j: 4, z: 2, q: 2}.\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 64*w - 325. What is c(-58)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -1b?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*z - 63, -24 - 31 = -3*z + c. Calculate the highest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1896 and 113\/48.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = 5*k - s, s + 3*s = -k + 182. Let c = -29 + 79. What is the remainder when k is divided by c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 21. Let u = 2467\/210 - 82\/7. Let k(d) be the third derivative of 0 + 0*d - 26*d**2 + 0*d**4 + 0*d**3 - u*d**5. Give k(o(y)).\nAnswer: -8*y**2 - 168*y - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 2. Let r be s(2). Suppose 4*z + 20 = -2*c, -31 = -4*c + 4*z - 11. Solve c + r = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -661\/3 - -227. Find the common denominator of f and -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 1 - y + y**2 + 0*y**2 - y**2 to the form a*y + b*y**2 + o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22385964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -101102210111100102?\nAnswer: 101102210111100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8 - 4. Which is the second biggest value? (a) w (b) -2.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 + -4 + (-1 - 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -10*f - 96. Let k be 4\/(f\/6) + 154\/56. Which is smaller: 6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 + 7*a - 3. Determine q(5).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -175281, -175568, -175843, -176100, -176333, -176536, -176703?\n\"Answer: b**3 - 294*b - 174988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*j + 3576*j**2 - 80*j - 4913*j**2 + 1416*j**2.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7480.011 centimeters in kilometers?\nAnswer: 0.07480011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -82*g - 90. Let q(i) = -33*i - 36. Let h(k) = 12*q(k) - 5*z(k). Differentiate h(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 22. Let c be q(-8). Suppose -14*h = -c*h. Suppose h*w + 5*j + 609 = 3*w, -2*j = -5*w + 996. Round w to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7877*i - 419755 = -1993*i - 113785 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(-8\/3))**50*((r\/(r**1*r))**18)**(-2\/3) assuming r is positive.\nAnswer: r**(-364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -724, -723, -722, -721?\n\"Answer: w - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/3 + 18 + 3. Suppose -a = 2*x - 7 - 10, a + 7 = 2*x. What is the first derivative of -7*s + f*s - 5*s + 2 - x wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1805*m + 1808*m + 36 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one sevenths of a week in minutes?\nAnswer: 73440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*k**2\/3 - 2*k.\nAnswer: -2*k*(65*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1413433 (base 7) to base 14.\nAnswer: 4c9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -k, k - 4*r = r + 10. Suppose -k*c + 18 = -4*c. Calculate the least common multiple of c and 1 + 24 + (-6)\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 881 + 1170. Suppose -8*x - 451 = -f. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 77*b**2 - 84*b - 611. What is k(-76)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.78387 millilitres to litres.\nAnswer: 0.07078387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 30. Let h be t(3). Let w(y) = y**3 + 10*y**2 + 11*y + 11. Give w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -94. Let x = 20 - j. What is the remainder when 102 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(180)*-3 - sqrt(180) - (5 + sqrt(180) + -3))*-5*3)*-1.\nAnswer: -450*sqrt(5) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 4*b - 94. Give i(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 3:41 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/(-48) + (-5)\/4. Which is the nearest to 2\/3? (a) 0.1 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**5 + 0*l**5 - 3*l - 7*l - 16*l wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 46*p**2 - 2642*p - 33050. Calculate b(68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-175)\/(-20)))\/(2\/7) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/4 + 51*w**4\/2 - 24*w**3 - 51*w**2\/2 + 99*w\/4 = 0. Calculate w.\nAnswer: -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 1}. What is prob of picking 4 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p**(-1)\/p)*(((p\/(p*p**(2\/5)))\/p*p)\/p)**(-1))\/(((p*p\/(p\/p**6))\/(p*p**(-2\/9)))\/(p**(1\/2)\/p)**(-2\/29)) assuming p is positive.\nAnswer: p**(-11468\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -40792?\nAnswer: -4077b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 204713 (base 15) to base 12\nAnswer: 61b783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 99, 103, 107, 111?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 712345 + 0.2844?\nAnswer: 712345.2844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-3 + 1 + sqrt(28) + 1 + sqrt(28).\nAnswer: -14*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-252))\/((-116)\/(-24) - 5). Let r = u + 10\/273. Is r smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*b - 3*j + 28, -22 = -5*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*d + 9*d. Let y(q) = -q**3 + 14*q**2 - q + 2. Let i be y(14). Calculate the remainder when i\/d*(-75)\/(-2) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 - -3.08. Let b = k + -2.9. Put 4, 0, b in decreasing order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-6)\/900*34. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1212191759\/5 or -242438353?\nAnswer: -1212191759\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280\/5*(-3)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + n - 49 = 0, 2*n - 5*n - 203 = -4*p. What is the smallest common multiple of p and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*t - 29*t + 476 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e62c (base 16) in base 14?\nAnswer: -33500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 23 (c) -1\/6 (d) 0 (e) 0.2 (f) -0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2829)\/(-2925) - 2\/13. Let w = -12\/25 + n. Which is the third biggest value? (a) -6 (b) w (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3156 by -1578.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:24 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 101. Let h(j) be the third derivative of j**5\/60 - 7*j**4\/24 - 5*j**3\/3 + j**2. Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/6 - g**2 + 2*g. Let f(t) = 6*t - 11. Determine 22*b(w) - 4*f(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a factor of 328807017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66899 and 7049.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 963737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -604 + 682. Solve -2*l + 74 - n = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 4841520*x + 20510276421600.\nAnswer: 2*(x + 8472660)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2394397080.\nAnswer: 2, 3, 5, 73, 179, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:11 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -50. Let i be (d\/(-15))\/(4\/(-10))*0. Suppose -83 + 213 = y + 3*f, -3*y + f + 410 = i. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 219 - 51c?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:00 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 164*z**2 - 726*z - 37741. Give u(-167).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5)\/b)**(3\/5)\/(b\/b**(5\/3))**(1\/7))**(-44) assuming b is positive.\nAnswer: b**(14432\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s + 6 - 9 - 66*s + 43*s + 3.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z - 1. Let f be 40\/4 - (-4)\/z. Let c be f\/(-4) - 26\/(-20). What is the nearest to -1\/2 in -0.3, c, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3793942.\nAnswer: -1\/1896971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1079 - 1067. Suppose -129 - 39 = -q. What is the highest common divisor of a and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29796 not equal to -89390\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144316395*m**4 - 61*m**2 + 18909*m - 5 wrt m.\nAnswer: 3463593480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/12 - 4*v**3\/3 + 17*v**2. Let f be k(5). Does 23 divide 3\/(f + 16) + (-1210)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 163. Calculate d(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.078 + 0.078. Let j = -2 - v. What is the closest to 1 in 2\/7, 2\/19, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -79, 1\/3.\nAnswer: -79, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b**4 - b**5 + 2\/3*b**3 + 0*b**2 + 0*b - 5. What is the third derivative of c(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0)*(5 - 1). Let w be (-21)\/(-12) + (-2)\/z. Find the third derivative of -2*n**3 - 2*n**2 + w*n**3 - n**4 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t**(-3\/2)*t)*t**(-1\/2)\/t**(2\/13))\/(((t\/((t**(-4\/7)\/t)\/t))\/(t\/t**8*t*t))\/(t*t**(-2))**32) assuming t is positive.\nAnswer: t**(-3979\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579 (base 10) in base 13?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*g = -i + 525, 385 = 4*i + 3*g. Is 100 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 16030*j**3 + 32046*j**2 + 48078*j.\nAnswer: 2*j*(j - 8013)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*l + 2, 0 = 4*l - 5*w - 79 + 49 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 164106009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012235249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290310.\nAnswer: 2, 3, 5, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 3. Let x be o(10). Solve 2 + 7*n + x*n + 6*n**2 - 20*n - 2*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 59. Let b = -27 - s. Solve -v + b*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/9 - 5*j**2\/3 + 16*j\/9.\nAnswer: -j*(j - 1)*(j + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50138.75 nanograms in grams?\nAnswer: 0.00005013875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, k: 2}. Give prob of picking 1 k and 2 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450223 + 901090 - 450866 - 4*r.\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (-2*(0 + sqrt(891) - sqrt(891)) + sqrt(891)))**2 + (1 + sqrt(176) + sqrt(11) + sqrt(11) - (-3 + -1*sqrt(11))).\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.71? (a) -114 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(56\/42)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -34*p**5 + 3744*p**4 - 140418*p**3 + 2058508*p**2 - 10376184*p + 1192464 = 0.\nAnswer: 2\/17, 13, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Let p(d) be the first derivative of -4\/3*d**3 + 0*d**2 - 6 + 0*d. What is p(x(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/19)*w)**28*w**(7\/5)\/(((w\/((w*w\/(w*w**(3\/10)*w*w)*w*w)\/w))\/w*w)\/w) assuming w is positive.\nAnswer: w**(6089\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(250)\/(sqrt(10)\/sqrt(8)) - -2*(sqrt(150)\/(sqrt(12)\/sqrt(4)) + 0))**2.\nAnswer: 160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 - 4*a. What is f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -73. Let v = 33 + x. What is the smallest value in -18, -5, v?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13350 divided by -35?\nAnswer: 2670\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 81. Suppose 2*a - g = 6*a. Let b = 18 - 34. Is b <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280704 and 6630?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24013 and 6549?\nAnswer: 72039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m - 17 + 6*m**3 - 27*m**3 + 7*m**2 + 15*m**3.\nAnswer: -6*m**3 + 7*m**2 + 24*m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*0.0188.\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.356 and -140.\nAnswer: 189.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0*i**2 - i**2 - 79*i + 79*i. Let p(y) = -3*y**2. Let d(z) = -2*z**2. Let a(k) = -4*d(k) + 3*p(k). Calculate h(a(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2 + -1 + 3). Suppose 0 = -5*p - 5*i + 15, 4 + 8 = w*p + 4*i. Solve -16 = -0*o - 5*o - 3*j, p = 5*o - 5*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.204502 rounded to three decimal places?\nAnswer: -2.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4443*l**2 + 4383*l**2)*(0*l**3 + 0*l**3 + 3*l**3).\nAnswer: -180*l**5 + 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (-1 - -4 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10981237361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**2 + y + 4. Let f(b) = -b**2 + b. Let c(w) = 5*w**2 - 2*w + 1. Let d(x) = -c(x) - 2*f(x). Give -11*d(g) - 2*p(g).\nAnswer: g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 327, 512, 697, 882, 1067?\n\"Answer: 185*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 28.6?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*z - 9 = z, 3 = -2*i + 5*z. Put -1, i, 3, 2 in ascending order.\nAnswer: i, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 5\/3, -0.08, 2, 83.\nAnswer: -0.08, 2\/17, 5\/3, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + q + 1. Let h be p(0). Let t(x) = -2 - h - 3 - 1 - x. Determine t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/15 + (-34)\/(-6). Suppose 5*s = 5*c + 2230, 452 = s + 2*c - t*c. List the prime factors of s.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237845.7cm in micrometers?\nAnswer: 2378457000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -3844790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331 (base 4) in base 15?\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11133\/(-24))\/(14 + (-452)\/32). Which is bigger: a or 3714?\nAnswer: 3714","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 4*c + 3*c + c. Let k(x) = -21*x**2. Determine k(g(h)).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(1300) + 0))**2*3.\nAnswer: 561600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 33*a**2 + 47*a + 15. Let g be v(-1). Let d = 14.93 - -0.07. What is the nearest to d in g, 0.4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:05 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 1, 0.5, 2\/329, -65.2 in decreasing order.\nAnswer: 1, 0.5, 2\/329, -0.11, -65.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-7)*l)\/l*(l**5\/l)\/l*l*l\/(l*(l\/(l*l**(-7\/2)))\/l)*l*l\/l**9)**(-3\/13) assuming l is positive.\nAnswer: l**(63\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 103 - 83 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 3}. Give prob of picking 1 a and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 30290355.\nAnswer: 18174213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2 + (-292)\/(-158). Let r = w - -2248\/237. Find the common denominator of r and 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let v(i) = i**2 - i + 1. Let m be v(3). Suppose z - 4*d + 9 = 0, -4*z + 2*d - m*d + 6 = 0. Let u be n(z). Solve 5*y - 11 - u = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 0*n - 31831*n**3 + 31782*n**3.\nAnswer: -49*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81362*z**3 - 2*z + 21577*z**3 + 2*z.\nAnswer: -59785*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171902117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -86*s + 3 + 12 - 15. Let k(h) = h**2. Calculate x(k(r)).\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -34 + 34 + 3*k**2. Let x(l) = -4*l. What is x(u(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -8907.7.\nAnswer: -8907.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 31*(-6)\/66 - (-4)\/(-22). Let w = -1 - 2. Let g = 7 + w. Which is the third smallest value? (a) 1\/9 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27203584 and 5146624?\nAnswer: 190425088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/3)\/(2\/6). Let n be 5412\/d - (-24)\/(-56). Let g = -272 - n. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*h**3 - 161*a**3*h**2 + 241*a**2*h**2 + 13*h**3 wrt a?\nAnswer: -18*h**3 - 966*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54909 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 + -217. Is d at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 330\/99)*540\/24*-10\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = f - 50. Let z = -563\/5 + f. Factor z*r**2 - 2\/5*r**3 + 0*r + 0.\nAnswer: -2*r**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 19*d + 39. Let h be s(17). Suppose -2*j + 2*o - 20 = 0, 5*j + h*o + 13 = -7. Is j not equal to -25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14032 by 8.\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1.35 (b) 4 (c) -3\/7 (d) -0.4 (e) 223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:45 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-10)\/(-10))\/((-837)\/5301)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3087.3 + -3085.3. Let l = 3 + -5. What is the second biggest value in l, m, -0.1, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -11906.\nAnswer: -3\/11906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2 + -140 + (52 - 4482\/108).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3878*q - 829856. What is u(-214)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*u - 208 = 0, 82 = -2*w - 0*u - u. Let s be 24\/w - 46\/(-10). Solve 5*c + 10 = 5*z, -s*c = -z - 1 - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42.75, -1\/4, -2\/7, -4 in ascending order.\nAnswer: -42.75, -4, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-17) - (-166)\/34. Solve 3*b - 11 = 5*b + 5*n, -3*n - r = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-31 + 4)) + (-11 - 25 - -22)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 - 4*j**2 + 3*j - 3. Let u(x) = 2*x**3 - 2*x**2 + x - 1. Let o(m) = -3*s(m) + 7*u(m). Find b such that o(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155937442?\nAnswer: 2, 71, 1098151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2689*y - 2689*y + 13*y**3 + 18*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -86. Suppose 4*u = 3*u + 2, -4*f + m = u. Suppose f = -18*j + 5*j + 25831. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 1446.642189\nAnswer: 1446.342189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/145? (a) 3 (b) 13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -850*c**4 - 1888.\nAnswer: -3400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/5, -5, -0.2, 1\/6, -7 in ascending order.\nAnswer: -7, -5, -22\/5, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71698 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, 5, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 249\/8. Suppose 0*b = -4*z + 3*b, -b = -4*z. Let v(d) = 2*d + 1. Let c be v(z). Is c at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 33*d + 3128 = 0. List the prime factors of d.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 157, 288, 453?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 891 - 864 = -11*a - 19*a for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -310 (c) 40 (d) 4 (e) -0.3 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -2*s - 9*a + 8, 2*s + 3*a = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 69\/253*1023\/837\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/214326 and 61\/4374.\nAnswer: 214326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - 0.3. Let n = -0.2 - g. Let d = n + -2. Which is the second smallest value? (a) -0.5 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/18297 and 88\/30495?\nAnswer: 91485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-369)\/(-45)) + 171\/(-45) + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/((x*x**(-1\/4)*x)\/x)))**(1\/5))**(1\/18) assuming x is positive.\nAnswer: x**(7\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s. Suppose 12*a - 14*a + 26 = s. Let n(l) = 10*l - 7. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 11) in base 8?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01275 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8819925 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*10*20\/(-5400))\/(24\/16).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 11. Let j be z(10). Let u = j + -10. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 7 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1069, -2128, -3347, -4714, -6217, -7844?\nAnswer: -9583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194766 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125) + -3)**2.\nAnswer: -60*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + 2*g)*(-168 - 25*g**4 + 168 + (-3*g**3 - g**3 + 7*g**3)*(11 - 11 - 9*g)).\nAnswer: -104*g**5 - 52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g - 9. Let v be a(-9). Suppose -18 = -w - v*w. Calculate the remainder when 35 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107112 is divided by 8052?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 37*c - 113. Let d be q(-33). Let t(a) = a**2 - 19*a - 8. Calculate t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**2 - v + 1. Suppose -3*s - 2 = -2*o, 0 = -4*s - s - 10. Is d(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/2268*27)\/(1\/147).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19\/((-37980)\/12663 + 3)?\nAnswer: 3, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -35, 380, 8, -5, -0.1 in decreasing order.\nAnswer: 380, 8, -0.1, -5, -12, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 377*l**2 + 306*l**2 - 6*l**3 - 575*l**2.\nAnswer: -6*l**3 - 646*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 + 2*x - 10. Let f(w) = 11*w**2 - 3*w + 21. Let o(i) = -4*f(i) - 9*q(i). Calculate o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 91. Let z = -0.08 - 32.92. Let o = z + 32. Which is the closest to g? (a) 5 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -3*h + 36, -5118*h + 5119*h + 2 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -9 + 11. Let j = 1236 - 1235.7. What is the nearest to t in -2\/19, j, -2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2330*m - 19482. What is the units digit of r(-38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 30. What is the lowest common multiple of o and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*c)**(2\/21)*(c\/((c*c**0)\/c*c*c)*c)**(-36)*((c\/c**(-2\/3))**39)**(-41) assuming c is positive.\nAnswer: c**(-55961\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*((3*sqrt(126)\/sqrt(6))\/((sqrt(126)\/sqrt(6))\/sqrt(7)) + -4).\nAnswer: -15*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from xxxmxmmxmxx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -56711019 > -56711018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2215*n - 26. Let g(l) = 4430*l - 61. Calculate 3*g(b) - 7*u(b).\nAnswer: -2215*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w**3 + 133*w**4 - 48 - 156*w - 33*w**4 - 45*w**4 - 72*w**2 - 40*w**4 = 0 for w.\nAnswer: -4, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10127, 40480, 91013, 161678, 252427, 363212, 493985, 644698?\nAnswer: 815303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*p - 48*p - 360. Calculate the lowest common multiple of 108 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from auaaajuuuujuuauuua?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/43? (a) -0.609 (b) -2\/3 (c) -0.07 (d) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, m: 1, o: 1, v: 2, l: 1}. What is prob of sequence voml?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-6 - -2) - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m - 4*m - 4*m - 3)*(-38*m - 1414 + 1414)*(8 + 8*m**2 - 8) as f*m**3 + z*m**4 + w*m + d*m**2 + t and give f.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, 155, 540, 1081, 1778, 2631?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0*4\/(-8))\/(1*-2). What is the nearest to 2\/35 in 3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15219 + 15219.079944. What is u rounded to three dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -792855 by 4195.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 272 = 0. Let g = t - -96. Suppose 0 = -2*p + g. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-750)\/20*(-44)\/110?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:06 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-2)\/4)*(-16)\/(-6). Suppose 0 = 5*b + g - 407, -b + 0*g + 89 = y*g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let k(q) = 7*q**2 - q + 1. Calculate the remainder when k(2) is divided by u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*b**5 + 2*b**4 - 2483411*b**2 - 249146663*b.\nAnswer: -340*b**3 + 24*b**2 - 4966822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 2883980*o**3 - 693107874684*o**2 + 55523716630381476*o + 222105956432096592.\nAnswer: -4*(o - 240333)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/477 and 23\/212?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0147 + -50.5853. Let h = -32 - d. What is h rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 8*q**2 + 2*q + 6. Let t be d(5). Calculate the highest common factor of t and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17291813.\nAnswer: 7, 11, 224569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122112122221 + 201022?\nAnswer: 122120101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 25384.5593 to the nearest 100.\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 9) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1189 - -4?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -3*z - 27, 9*z = -4*q - 65 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f4 + -12e?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 11, 20, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x - 9. Suppose -x*k = -2*k + 412. What are the prime factors of 6\/39 - k\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 2*a + 3*a + 5*v, 3*v = 2*a - 44. Let r = 57 - a. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 440748050*i**3\/9 - 1762754680*i**2\/9 - 950048*i\/9 - 128\/9 = 0. What is i?\nAnswer: -4\/14845, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1102012022 (base 3) to base 8\nAnswer: -66305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + -2 - -3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 - 8*m + 3. Let u be n(-8). Suppose -j - u*l = 4, 0*l - l = 4*j - 6. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsssyssssyshhyshsyyy. What is prob of picking 2 h and 2 y?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1980\/13 in 13, 2, -22.6, -1, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (13 + -12 + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 10*n**3 - 10 - 18.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -3. Suppose -3*t - a = 2*t. Suppose 4*d + w + 18 = d, -d = 3*w + 14. Sort t, 1, d.\nAnswer: d, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010111101001001001 + 1001?\nAnswer: -1101010111101001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 895343.1mm in kilometers?\nAnswer: 0.8953431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3403326 - 3455057.215. Let l = g + 51836. Let k = 105 - l. Round k to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80415022 - 80415022 + 6024*j.\nAnswer: 6024*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/7)*b*b**4)\/(b\/b**(-2\/7))**(-7) assuming b is positive.\nAnswer: b**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 32551?\nAnswer: 32549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 230828528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2043 by -2.\nAnswer: -2043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -8. Suppose 156 = 3*y + 3*q, 0 = -g*y - 0*y - 3*q + 210. Let v = y + -34. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297860 - 297868 + 502*n - 507*n.\nAnswer: -5*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -7*d**6\/30 - 299*d**3\/6 + 158*d. Find the second derivative of r(j) wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -26 - ((-3 - 0) + -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -585 + 850. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.01 + -3. Let i = -27 + 26.79. Let m = i - a. What is m rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -y + 112. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/210 - r**6\/32 - r**5\/15 - r**4\/32 + r**3\/12 + 2*r**2 + 11*r. Find w such that k(w) = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173.428 less than -10?\nAnswer: -3183.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 - 534316992936\nAnswer: -534316992936.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = p + 5*m, 0 = -3*p - 5*m + 14. Let z(a) = -9*a - p + a + 17*a - 5*a. Let t(g) = 3*g**2 - g. Let o be t(1). What is z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11075 + 5?\nAnswer: -11070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04795429, -0.3, 1\/4 in descending order.\nAnswer: 1\/4, 0.04795429, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345108 is divided by 69018?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23020 (base 5) to base 6.\nAnswer: -11323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + q - 1. Suppose -4*x + 2 = -2. Let c be i(x). Suppose u + c = 7. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 219*o - 5. Let x(r) = -218*r + 4. Give 4*n(b) + 5*x(b).\nAnswer: -214*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.04 (b) -2 (c) -1658 (d) -5 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36196 (b) 2\/7 (c) 2 (d) 289\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37233 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u. Let s(r) = r. Let g(i) = i. Suppose -6 + 0 = -2*v. Let o(a) = v*g(a) - 2*s(a). Calculate o(z(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 2. Let x be o(2). Suppose 4*c - x = c. Suppose -3*k = 7*k - 20. Solve -6 = -k*n - c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139637619 - 195492654821\/1400. Let w = -3\/200 - h. Find the common denominator of -125\/6 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -8 + 3. Find the second derivative of 3*r**4 + 3*r**4 - r - d*r**4 + r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-219)\/(-511))\/((-36)\/42)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 73*a - 17299. Calculate b(100).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -2\/41, 37, 3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*x + 1 + (-3456 + 2*x + 3456)*(3 - 2 + 1))*(2*x + 24*x - 7*x) as g + n*x**2 + o*x and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 454535\nAnswer: 1818140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**4 + 3*f**2 - 2. Let w(n) = -7*n**4 + 7*n**2 - 5. Let u(g) = -5*l(g) + 2*w(g). Find the third derivative of u(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 208616458 from -56539.\nAnswer: -208672997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.083 + -0.917. What is the closest to 2 in d, 1\/2, 0.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 414\/8 - (-5)\/20. Suppose 2*z - 5*i - 95 = 0, -4*z + u = -3*i - 131. What is the greatest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 257, 624, 1231, 2138, 3405?\n\"Answer: 10*o**3 + 30*o**2 + 27*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*a + 73*a + 65*a + 73*a - 366*a + 79*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 1. Let n be d(-2). Let b = 17 + n. Let l(x) = x + 11. Calculate the smallest common multiple of b and l(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/11 (b) -378 (c) -2 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 - 2) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Let l(z) = z**3 - 4*z**2 - 7. Let x be l(d). Solve -5*v = -2*u + 18 - 2, u - 5*v = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -44 (b) 5 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + t + 32, -1670*c = -1663*c - t - 37 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4575746702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12.34 times -431\nAnswer: 5318.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kag. What is prob of picking 1 a and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255389*o - 255389*o - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31781.285 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 88*x**2 - 21*x**2 in the form u*x + p + o*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -3*o. What is the second derivative of 3*s + 40*s**4 + 2*s**o - 40*s**4 wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2634259.5 hours?\nAnswer: 109760.8125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244 + -99199.\nAnswer: -99443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let z be h\/((-2)\/(-1))*3. Suppose z*t + 2*m = 7*t - 22, 5*t + 5*m + 10 = 0. Solve 2*l - t = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7567 - 7562.0112. Let s = d + 0.0112. Let i be 0 - -3*2*-1. Which is the nearest to -2\/3? (a) i (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 42*p**2 + 52*p - 83. Let u be m(-40). Let j = 1044 - u. Solve -j*c = -15*c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3006 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 10 (b) -5 (c) -3 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*s**4 + s**5 + 38*s**4 + (s**3 + 0*s**2 + 0*s**2)*(3*s + 2*s**2 - 3*s) - 5*s**5 - 7*s**5 + 19*s**5.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 6 = 0. Let r = s + -1. Find d such that 4*d**r - 12*d**2 - 4*d + 0 + 4*d**3 - 4 + 12 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00502647075 to five decimal places.\nAnswer: 0.00503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26103802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((sqrt(104) + -1*-1*sqrt(104))\/sqrt(8) + 3)**2).\nAnswer: 60*sqrt(13) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(6\/4) - 0. Let g = 16 + -11. Let s(k) = k**2 - 6*k + 8. Let o be s(g). Put 4, o, a in ascending order.\nAnswer: a, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 - 194*y**2 + 37*y + 12. Give o(-39).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 171 = 29*s - 40, 0 = -2*m + 3*s - 23 + 3 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-13))\/(-18*(-13)\/2028)*(-150)\/(-8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/5, 1\/8, -2, 4 in descending order.\nAnswer: 5, 4, 1\/8, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = -3*j + 72. What is the derivative of -10 + 3*h**j - h - 2*h**4 - 24 wrt h?\nAnswer: 4*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 9*l**2 + 8*l + 2. Let f be x(8). Is (-5225)\/(-35) + f\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l - 59. Let d be q(-6). Let v = d + 127. What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 88*g**2. Let r(c) = -12*c**2. Give r(u(p)).\nAnswer: -92928*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -25, -34, -41, -46?\n\"Answer: d**2 - 14*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22389825?\nAnswer: 3, 5, 487, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 197?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0502 + 155.845?\nAnswer: 155.8952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1803948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-16) - 3\/(-12). Suppose m*y = 9*y + 90. Let k = -10 - y. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/30 + m**4\/8 + m**3\/6 + 18*m**2. What is w(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37664 by -3424.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 5*j - 41, 7 = 4*j + k. Suppose -5*p + 19 + 15 = j*o, 5*o - 30 = -3*p. Calculate the smallest common multiple of 3 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 49*f**2 - 391*f - 91. Calculate h(-40).\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**4 - 2*j**3 + 353*j**2 - 86*j - 36.\nAnswer: 84*j**2 - 12*j + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 126*m + 2. Let c be z(-1). What are the prime factors of (c\/(-8) + -3)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(34)\/sqrt(2))**2 + -3) - (sqrt(17) + 0 + -3)*6.\nAnswer: -6*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 88*y**3 - 1248*y**2 - 6048*y - 7776 = 0. What is y?\nAnswer: -18, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 + 291.9. Let o = q + 19. What is the nearest to 1 in 0.3, -0.2, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*p + p + 8, 3*l - 5*p = -20. Suppose -4*u + 8 + 7 = 3*h, 3*h - 15 = 3*u. Solve -2\/15*v**3 + l - 2\/15*v**2 + u*v = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-5))\/((-3)\/30). Let m = 6 - j. Is 126 + m\/(-1) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.5. Let w(z) = -z. Let m be w(-3). Let j be ((-4)\/(-12))\/((-4)\/m). Sort 0.1, c, j in decreasing order.\nAnswer: 0.1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 13 - -1) + (-22 - -29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -1\/180*w**6 + 0*w - 1\/24*w**4 + 1\/60*w**5 + 0*w**2 + 2 - 2\/3*w**3. Let i(t) be the third derivative of m(t). Determine i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330470.\nAnswer: 2, 5, 7, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = -7*y + 5145. Let a = 571 - y. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d78 - -b69d?\nAnswer: c526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/(u*u**(-3\/7)*u)*(u\/u**(-31))**(-15) assuming u is positive.\nAnswer: u**(-3357\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2038\/(-5095))\/((-2)\/190*-2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381969081?\nAnswer: 3, 13, 139, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70507644928.000000566 + -70507644407. Let g = d - 521. Round g to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295938?\nAnswer: 2, 19, 113051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 5*q**2 + 4*q. Let o be j(-4). Suppose 7*t = -0*t. Solve -2*w + o - 6 = t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 82*d + 10711. Determine o(-131).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 937 + 221*t**2 - 937 + (2*t + 0*t + t)*(2 - 2 + t) + (-1 + 3 - 4)*(-t + t**2 + t) in the form a*t + k + u*t**2 and give u.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**4 + 105*c**3 - 180*c**2 - 5600*c = 0.\nAnswer: -20, -8, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:05 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 9*x + 8. Suppose -51*a + 57*a = -48. Calculate z(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7061992 centuries to millennia.\nAnswer: 0.07061992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from jhhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, 2, -28 in ascending order.\nAnswer: -294, -28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from ppupjpyjppuypyyppyy?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44497?\nAnswer: 44497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7 less than 0.34?\nAnswer: -6.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 18. Let b be s(-9). Suppose 30 = 4*d + d - 3*i, b = 3*d + 2*i + 1. Solve 4*q + d*y + 24 = -y, -3*y = -5*q - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12440, -24980, -37636, -50420, -63344, -76420, -89660, -103076?\nAnswer: -116680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-56)\/105. Let r be (-34)\/52 - (-2)\/13. Let x = 1.435 - -1.565. Sort r, w, x.\nAnswer: r, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 40701532.87.\nAnswer: 40701533.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -7, -14, 4, 12 in increasing order.\nAnswer: -14, -12, -7, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 651301.1 to the nearest one hundred.\nAnswer: 651300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kbbkkkkkkkkkkkkkkkbk.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 2 + 2*x**3 + 2*x**2 + 4*x - 4*x**2 - 2*x to a*x**2 + t*x**3 + s + z*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x**18*x)\/x)))\/x)\/x**25)\/(((x**(-11\/4)\/x)\/x)\/x)**(-36) assuming x is positive.\nAnswer: x**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -6, 2\/41, 560 in increasing order.\nAnswer: -13, -6, -1, 2\/41, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1580574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103323352 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -84*q + 3. Let p(w) = -445*w + 1521 + 457*w - 1521. Give a(p(o)).\nAnswer: -1008*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 7.2. Let j = l + 9.6. Which is the third smallest value? (a) 4 (b) 4\/3 (c) j (d) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/56352360 and -71\/4?\nAnswer: 56352360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - 11448030?\nAnswer: -11448013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-six fifths of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 + 186\/30. Suppose -648 = -x*q + 78. Calculate the remainder when q is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 4508?\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17986 - -755291\/42. Calculate the common denominator of d and -41\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264993.978 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088263 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/24 - p**3\/6 + 2*p**2. Let h be g(-3). What is the tens digit of h\/((-4)\/5)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + l = 3*z - 12, 0 = -2*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 120*x + 5516. Give l(-46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 58*a + 35239. What are the prime factors of q(0)?\nAnswer: 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123807640.\nAnswer: 2, 5, 28095191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 6*m**2 - m. Let g be d(6). Is 17 a factor of ((-68)\/(-6))\/(g\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y - 12. Calculate the remainder when c(-13) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 171\/5. Let k = -124.99 - -125. Let u = 0.51 - k. What is the second smallest value in d, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-27))\/((-16)\/(-18)*(-3)\/4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(156\/80*8\/12 + (-12)\/15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q + 6. Let o(y) = 2*y**3 - 6*y - 5. Let k be (-14 + 4)*1\/(-2). Let x(u) = k*h(u) + 6*o(u). What is x(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 17 + 42 = -4*o, -111*o + 162*o + 2*v = -712 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 8) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o - 2*o)*(-35*o - 539*o - 24*o)*(-5 + 0 + 6) - 2*o**2 + 50 - 50 to the form t*o + p + s*o**2 and give s.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12802, -27108, -44368, -66058, -93654, -128632, -172468, -226638?\nAnswer: -292618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.006 + -0.776. Let w = k + 0.39. Let b = w + 0.78. Put -5, b, -0.1 in descending order.\nAnswer: b, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -8e?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Suppose 0*b - 3*s + 45 = 3*b, -63 = -q*b - s. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152))\/sqrt(8) + 3.\nAnswer: -2*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/4 + 145*q\/4 - 73\/2 = 0 for q.\nAnswer: -146, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(432) + 0)**2 + (sqrt(432) + sqrt(432)*-1 - sqrt(432))**2*4 - (-4 + -4*(-2*(sqrt(432) + 1))**2).\nAnswer: 336*sqrt(3) + 9096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 659 + 354. List the prime factors of l.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 4\/17 (c) 1\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2. Let q = -90 + 90. Let s be q + (-4 - -6 - 0). Let d(j) = -j**s - 2*j**2 + 4*j**2 - 2*j**2. What is d(p(t))?\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/10*(-10)\/(-6). Let p(l) = -3 - 5*l + l**g + 2*l**2 + 3*l. Is 18 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000298378 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - (0 - -1)) + (46 - 47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 - 786 = -5*t. What is the lowest common multiple of t and 15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 + (-27 - -18) + 13 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/6)\/((-1115)\/1338)*(-3)\/(3\/4).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (1 - 3) + (-4 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414667 (base 8) to base 12.\nAnswer: -677b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6394?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/18*9\/4. What are the prime factors of 9\/d*52\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*n + 547, m + 3*m + 2*n = 748. Suppose 5 = -180*d + m*d. Sort d, -5, 0 in increasing order.\nAnswer: -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2 + -1 + -1 + (13 - 19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 84 - 64 = 0. Calculate the remainder when 4067 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19222187 is divided by 733.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t = 123*t - 6. Suppose -23*c + 22*c = 3*y - 1736, -c - 1159 = -t*y. List the prime factors of y.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 479*m - 479*m + 17)*(-1 + 1 - 3)*(2 - 3 + 2) + (3 - 1 + 0)*(m**2 + 0 + 0).\nAnswer: -4*m**2 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3820595539791 and 3.8.\nAnswer: 3820595539794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47444 + -1.\nAnswer: 47443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*n**2 + l + 3*n**4 - 3*n + 34 with respect to n.\nAnswer: 2*l*n + 12*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (0 - -2) + 0. Let x be (-12)\/(-10)*40\/3. Let c = x + b. What is the remainder when 43 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in 0.2, 405\/19, -5?\nAnswer: 405\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/5)*x*(x*x*(x*x*x*x*x\/(x*x**(1\/5)))\/x*x)\/x)\/(x**(-2\/5)*x**0))\/(x\/(x\/x**(1\/2))*x**2)**(34\/3) assuming x is positive.\nAnswer: x**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 32.6?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 71 = 3*v, -2*v + 3*f - 9 = 13. Let g be 9\/(-12) - v\/12. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.492 - -0.008. Sort 4, -0.5, f in descending order.\nAnswer: 4, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wph when three letters picked without replacement from {l: 2, t: 2, h: 3, p: 4, w: 6}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -2 + sqrt(1008))*1 + sqrt(1008) + sqrt(1008) + -2 + -2)**2 + -1.\nAnswer: -576*sqrt(7) + 16163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187 - -507?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1279*v**3 + 7*v**2 - 66*v + 58. Determine x(1).\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 161, 366, 653, 1022?\n\"Answer: 41*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 441 in increasing order.\nAnswer: -5, 3, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a30b (base 12) in base 10?\nAnswer: -598331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - q + 449. Let c be r(0). Is (-3)\/3*-1*c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/2, 2\/43, 2426, -3, -0.04?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:28 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-84)\/(-30) - (-32805)\/100. Let h = -9351\/28 + r. Which is greater: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 8*h**3 - 18*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*u**2 + 378*u**2 + 362*u**2 + 348*u**2 - 1818*u**2 + 357*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1119*k**2\/7 + 14673*k\/7 + 234.\nAnswer: 3*(k + 13)*(373*k + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -42, -87, -148, -225, -318, -427?\n\"Answer: -8*i**2 - 5*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/360 + r**5\/12 - 2*r**4\/9 + r**2 - 482*r. Solve j(m) = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 + 15 + -298 + (-2139)\/65?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 + 4*w - 1. Let g be s(-5). Let r = 2 + -2. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 3*w**2 + 3*w**2)*(2*w**3 + w**3 - 5*w**3) - 54*w**5 + 78*w**5 + 69*w**5 + w**5 - 3*w**4 + 3*w**4.\nAnswer: 96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-22)\/(-10) + -2). Suppose -14*w + 17*w = 3. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(12 - -8 - 15). Which is the closest to -1\/2? (a) -2 (b) 6\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1594190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(-16)*(-16160)\/(-2020).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 351*r**2 + 7*r - 19. Let k(p) = 2*p**3 - 19*p**2 - 12*p + 22. Let n be k(10). Is c(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - b + (b + 2*b - 5*b)*(3 + 0 - 2) + 42*b + 11*b + 4*b)*(-2*b - b - b) as q + u*b**2 + l*b and give u.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 726*r + 97152. Give u(-134).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*((-30)\/(-28))\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 9*w**2 + 14*w + 9. Let a be s(-7). Suppose 0 = -4*b + 7*b - a. Let j be b - (3 - -4) - -4. Solve j = -3*m + 3 - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + -18. Let j = n + 53.001. Sort 0.5, j, 4 in descending order.\nAnswer: 4, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.83795 micrograms to milligrams.\nAnswer: 0.03583795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -l + 62. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vzzvzuzvzzuz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3398 + -3390. Which is the closest to 2? (a) 3\/5 (b) 1\/2 (c) 2\/13 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -12 (c) 0.3 (d) 28 (e) 2\/11 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -20. Let f(j) = -6*j**3 + 4*j**2 - 3. Let h(x) = x**3 + 0*x**3 + 0*x**3 + 1 - x**2. Let s(y) = k*h(y) - f(y). Differentiate s(c) with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/20))**10*(l**(-5\/3))**(2\/23) assuming l is positive.\nAnswer: l**(1567\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 363 - -3?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10499 + 1109. List the prime factors of b.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let a be o(4). Let s(n) = n + 9. Let h = -2 - -3. Calculate the remainder when s(a) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -247, -184, -45, 200, 581, 1128, 1871, 2840?\n\"Answer: 5*f**3 + 8*f**2 + 4*f - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.14, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/5265*(-3)\/12.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259598 and 4430.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 138.90663 nanoseconds?\nAnswer: 0.0000000023151105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0907*13\nAnswer: -1.1791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.184224047 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2268\/(-1701)*(-6)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 0.2 (b) 1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703860*m**3*t*y**4 + 10*m**3*t*y**2 - 278*m**3*t*y + 12*m*t*y**3 + 62*t wrt y?\nAnswer: 16892640*m**3*t*y + 72*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y + 38. Let u be w(-2). Let n = 71 - u. Which is the biggest value? (a) n (b) -3\/7 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -781 or -783?\nAnswer: -783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.354? (a) 4 (b) 7 (c) 0 (d) -13 (e) 2\/5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*q + 6159 + 687 = -3489 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/11*(-2200)\/(-240).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 + -202. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u**2 + 4*u**3 - 242*u**2 + 52*u**2 + 57*u**2 + 54*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115, -122, -133, -148, -167, -190, -217?\n\"Answer: -2*z**2 - z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643851614 by 2316013.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62040 and 14080?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3. What is the remainder when 82 is divided by y(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + j**4 + 2*j**4 + (1 - 1 + j**4)*(-2 + 1 - 1) + 2*j**4 - j**4 - 3*j**4 + (-j**3 + 0*j**3 - j**3)*(-j + 0*j - j) + j**4 + 0*j**4 + j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 8. Let d be a(-9). Suppose 23*u = 24*u - 90. Let q = u - d. What is the greatest common divisor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 24. Is z\/24 + 388\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 + 11*f - 17. Let r be m(10). Let y = 38 - r. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -135. Let l(b) = -b + 0*b - 4*b**v + 5*b**2 + 2*b. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*a, 2*i - 5*a + 0 - 7 = 0. Suppose -17*x - i = -84. Solve 2*h = 3*j + x, 4*h + 28 = -5*j + 2*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903 = -8*o - 871 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 10 = -50*z + 5*g, 2*z + g = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*f**2 - 3*f**3 + 0*f + 1\/6*f**4 + 0.\nAnswer: f**2*(f - 9)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665799649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggllllglbgl. What is prob of sequence lbll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p + 62 - 66)*(2 - 2 - p).\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 + 2*k**4\/3 - 5*k**3 - 2*k**2 - 3. Factor u(f).\nAnswer: -2*(f - 5)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77413919?\nAnswer: 11, 7037629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 + 4*m + 6. Let v = 538 - 544. Calculate i(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 45198832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c6233 (base 15) in base 5?\nAnswer: -323400443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 34 + 2*f**3 - 5*f - 33 + f + 9*f**4 to the form m*f**3 + q*f**2 + k*f + h + z*f**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 19. Let x(v) = v - 10. Let t(f) = 6*j(f) - 11*x(f). Let g(d) = 164 - 368 - 6*d + 0*d + 199. Determine 3*g(w) - 4*t(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.64158 + 2.53499. What is p rounded to two dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h**2 + 10*h - 7. Let d be p(6). Let a = -50 + d. Suppose 0 = 4*g + a*v + 11 - 133, -2*g - 4*v + 66 = 0. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 334, -1152, -4454, -9572?\n\"Answer: -908*w**2 + 1238*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 1759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let q(l) = l**3 + l**2 - 5*l + 4. Let y be q(1). Put c, -4, y in decreasing order.\nAnswer: c, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, s: 5, w: 1, h: 6, r: 3}. What is prob of picking 2 r and 1 m?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1709232 and -133\/1152.\nAnswer: 41021568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 160301 and 160180 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/36 - (2023\/153 - (-143)\/(-11)). Factor -1\/3*q**2 - w*q + 0*q**3 + 0 + 1\/6*q**5 + 1\/3*q**4.\nAnswer: q*(q - 1)*(q + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 2*k - 5*k + (2 - 3 - 1)*(-k + k + 6*k) to a + m*k and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -26 + -24 - -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-560)\/(-32))*437\/19.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3 - 19) + (17 - (-8 + 22))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*k = -12, 2*k - k + 9 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 3*p - 2. Calculate d(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:40 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = j. Let a be (-3)\/(3\/(-4)*4). Let w be 15 - 6 - (-2 - a). Calculate the highest common divisor of w and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6693205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.28 - -10.27999494. What is h rounded to 7 dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14739*n**4 + 1504537179*n**3 - 531014346*n**2 + 62472324*n - 2449896.\nAnswer: 3*(n + 102079)*(17*n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*t**6 - 21*h**3*t**3 - 2*h**3*t - 34*h**2*t**2 + 2*t**3 wrt t?\nAnswer: -240*h**3*t**3 - 126*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*b = l - 167*b + 11, -5*b - 45 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -11 (b) -1 (c) 2\/15 (d) -1.018 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 206541, 206542, 206545, 206550, 206557?\n\"Answer: p**2 - 2*p + 206542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 99*k + 387. Calculate u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j*x**3 + j*x**2 - 249*j*x - 7*j - 64083*x**3 - x**2 + 2*x - 1 wrt j.\nAnswer: -3*x**3 + x**2 - 249*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8 + 4 + (-13 - (0 - 3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90178 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: Solve 3*m = 2*p + 2 - 1, 3*p = -m + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(0 + 8\/(-10)). Let h = -9 - 0. Let r be h\/(-6)*(-4)\/(-6). Put 1\/7, i, r in decreasing order.\nAnswer: i, r, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (5 + -8 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 8*u - 63. Let v be p(6). Suppose 22*r - v*r - 6046 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 13*d + 1971. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -36*f + 37*f - 3*a, a = -f - 25. Which is smaller: f or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ariiritrii. What is prob of picking 3 i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 714.9137 - -178135.\nAnswer: 178849.9137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3636)\/(-14) + (-38)\/(-133) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 - -9.6. Which is smaller: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -41 + 5 + -1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 633, 611, 551, 435, 245, -37?\n\"Answer: -3*r**3 - r**2 + 2*r + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 4*o - 1. Let x be p(3). Let m = -5436 - -5440. Let y be ((-1)\/m)\/(x\/(-4))*0. Solve y = -8*a + 3*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635.\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -6)\/165)\/(((-1245)\/(-90) + -14)*1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 444.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1352 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1320 and 7021740.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59653708369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1423 and 20040109.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/162048 and 1\/7.\nAnswer: 1134336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119963\/462 + 2900\/11. Suppose 0 = -6*j + 16*j + 240. Find the common denominator of (6\/27)\/(j\/(-603)) + 0 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*x = 4*w - 24, 0 = -4*w - 5*x + 48. Suppose w = -0*d + 3*d. What is the remainder when 13 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.31 - 1.11. What is the closest to i in 2\/17, -6, 2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/(j\/j**(-3))*j))**(16\/5))**4 assuming j is positive.\nAnswer: j**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -26, 5, 0.5, 4, -0.4, -3 in decreasing order.\nAnswer: 87, 5, 4, 0.5, -0.4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q - 4*q)*(9 - 31 - 33)*(-2*q - 2*q**2 - 5*q + 4*q).\nAnswer: -660*q**3 - 990*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5*66902\/10 + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204*l**4\/5 + 824*l**3\/5 + 848*l**2\/5 + 32*l\/5.\nAnswer: 4*l*(l + 2)**2*(51*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 8 - 1 + a**2 - 5*a + 2*a**2. Let n be f(-6). Solve 0*j = j - n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011110010010111 + -1111000?\nAnswer: -110011110100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x. Let h(z) = 4*z**2 - 3*z. Let u(d) = 11*d**2 - 8*d. Let c(l) = 8*h(l) - 3*u(l). Calculate f(c(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1656, -6723, -15154, -26943, -42084, -60571?\nAnswer: -82398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 5:30 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3, 10 + 17 = 2*k - 5*q. Let p = k - 14. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 + 2*n**2 + 11*n + 33. Let a be t(-3). Calculate the greatest common factor of 90 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -17*j**2 - 9*j**2 + 4*j**2. Let f(a) = a. Calculate i(f(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 5*a**3 - 4*a**2 - 14*a - 3*a**3 + 53*a**4 + 11*a - 52*a**4 + 95 to the form w*a + t + y*a**2 + h*a**3 + u*a**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110487388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by 6\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.764328 decades in months?\nAnswer: 211.71936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -31*x**2 - 20*x - 12. Calculate u(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157185864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9298 * -4.\nAnswer: 7.7192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s - 44 = -64*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**(1\/42))**(-39)*(g\/g**2*g**1*g)\/(g**(-7)\/(g\/(g\/g**(2\/11)))) assuming g is positive.\nAnswer: g**(487\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4*b - 3. Let n be d(5). Does 3 divide ((-15)\/20)\/(n\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 1. Let p(g) = 7*g + 1. Let k(o) = 2*j(o) - 3*p(o). Let c = 50 + -51. What is k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1903668 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/46169653 and -13\/19053?\nAnswer: 415526877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 570, -4\/9, -4, -139, 32, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l**3\/3 - 6606*l**2 - 4954*l\/3 = 0.\nAnswer: -2477, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0. Let o = 82 + -82. What is the nearest to o in u, 4\/5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4037383, -4037327, -4037275, -4037227, -4037183, -4037143?\n\"Answer: -2*k**2 + 62*k - 4037443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21437 - 11496. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 19 = 4*b + 4*g, 0 = 2*b + 4*g - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u - 3. Let w(t) = -2*t + 2619. What is w(a(p))?\nAnswer: -14*p + 2625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408*o**2 + 402*o wrt o?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-114))\/((1\/4)\/(165\/165)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i + i)*(-19 + 28 - 23 + (163 - 51 - 77)*(-3 + 2 + 2)).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 2*u - 8 = 14*x, u - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u - 24. Let x(z) = -6*z - 24. Let m(j) = -2*p(j) + 3*x(j). Let d be m(-13). Solve -3*c - 8 = 4*k, 0*c = -4*c + d*k + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g + 2. Let v be 0 - (-3 - (-3 - -1)). Let w be r(v). Suppose 0 = j - 5 - w. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2674*v - 2031*v = -12217 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 21\/1711, -1210, -3?\nAnswer: 21\/1711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times -0.1?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113 - -2?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1 (b) 2\/9 (c) 0 (d) 2\/7 (e) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*a + 13 = 0, 0 = -3*y - a - 0*a - 26. Find the common denominator of (-107)\/12 + (-6)\/y and (12\/(-10))\/(54\/300).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9688*g - 10676. What are the prime factors of j(4)?\nAnswer: 2, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 11864?\nAnswer: 11867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 118 = 0. Let y be 46 + -6 + 2 + -1. Let m = -17 + y. What is the remainder when f is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*p - 181465, -136106 = -774*s + 771*s + 5*p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(5\/7)\/v))\/v**7)**(-27))**(2\/129) assuming v is positive.\nAnswer: v**(720\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - i, -5*i = 5*j - 28 + 8. Suppose 0 = -3*d - 3 - 0. Which is the closest to d? (a) j (b) 0.2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128400 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 7. Let h be z(0). Let r = h + -4. Solve r + 3 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 9547886515365?\nAnswer: 9547886515365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 188\/47 - (-3)\/((-3)\/2). Let c be (-8 + 7)*1*-5. Solve c*l = g*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 2*w + 2*w + 2*w - w + w + (2 - 1 + 0)*(-4*w - 3*w + 6*w) + 3*w - w + 0*w - 2 + w + 2.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8352636079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 1. Let y be k(4). Let z = 18 - 23. Which is the closest to 1\/2? (a) y (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 980142.9 minutes?\nAnswer: 58808574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - j + 7 = -4*j, -5 = -2*c + j. Suppose 18 = 5*a - g - 45, 47 = 3*a + c*g. Solve 3 = -5*t + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258096 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -793*f**5 + 14*f**3*j**2 - 36*f**2*j**2 - 644*f**2 wrt f.\nAnswer: -47580*f**2 + 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 58. Let y be k(20). Let x = -37 - y. Let z(o) = o - 1 - 4 + o**2 + x + 7*o. Give z(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 5 in ascending order.\nAnswer: -11, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10.5*0.3\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u)**(-16)\/(u*u\/(u\/(u*(u\/((u**(4\/5)*u*u)\/u))\/u)*u)*u*u*u**(-1\/6)) assuming u is positive.\nAnswer: u**(449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*p + b + 47, -b = -p + 25. Suppose -2*w - 104 = -3*w. Calculate the greatest common factor of w and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.06 + -0.06. Let f = 6 - 5.7. Which is the third smallest value? (a) -3 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*v - 3849, -32*v = -35*v + 4*a + 3828. Let h = v + -748. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 157906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1469856295*x**3 + 106*x**2 + 3070592.\nAnswer: 8819137770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + 357\/68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-12 - (16 + -23))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + sqrt(19) + -1*-1*sqrt(19) - (sqrt(475) + 3 + -3)).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258985466 to the power of 1\/2, to the nearest integer?\nAnswer: 35482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jiriwbjbjjrbrrwijr?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 70*f + 13. Let i be y(0). Solve -4*z - 25 = -i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1096156 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 9*v**2 + 7*v - 10. Let s be x(-10). Solve 5*y + s = -0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29039, 0.3, 3\/4, 3\/7, -2, 3 in increasing order.\nAnswer: -2, 0.3, 3\/7, 3\/4, 3, 29039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 18. Let b(y) be the second derivative of y**4\/12 - 4*y**3\/3 + 7*y**2\/2 + 2*y. Determine b(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/18 - 12\/(-8). Let d be 3\/(-2)*1\/6. What is the closest to -1 in t, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1944 = -3*z + h + 1172, 2*z + 4*h = 2082. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.298 - -1.498. Let o be (-6 - -4) + (-2)\/(-4). What is the second biggest value in o, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -840, 339, 3?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 13\/36, -3\/4, 3\/2, 4, 98 in decreasing order.\nAnswer: 98, 4, 3\/2, 13\/36, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.354 + 5398?\nAnswer: 5406.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4\/5))\/a*a**(1\/5))\/(((a*a*a\/a**(2\/3))\/a)\/a*a**(3\/4)) assuming a is positive.\nAnswer: a**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30106+390\nAnswer: -29716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20 - -7 - (2 - 171).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 10. Let o = 232 - 211. Suppose -i - 15 = -o. Let c(p) = p - 1. Calculate i*c(l) - d(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/8 and 26\/4811?\nAnswer: 38488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*r + 5570 - 7313 = 8709 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 6 - 2. Let n(m) = m**3 + 2*m**2 - 2*m - 3. Let f be n(-2). Suppose -1 - 2 = 3*v. What is the biggest value in f, v, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 9*g**2 - 7*g - 6. Let w be q(8). Let v be w\/(-13) - (-2)\/13. Suppose v = l - 4 + 6. What is the smallest value in -0.4, 2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0 (b) -117 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let t(h) = -5*h + 14. Determine 3*j(a) + t(a).\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s - 4. Let d be v(6). Suppose f + d*f = 6. Let k be 2\/(8\/3 - f). Solve -k*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 39*r = -36*r, -5*g + 3*r - 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 3)*(7 + 13 + 2)*(-j + 2 - 2)*(0 - 5 + 3) to the form w + u*j and give u.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 786151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878 by 3343.\nAnswer: -878\/3343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 587750 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529006244 to six decimal places.\nAnswer: -0.052901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = -k. Suppose 3*d = -3*y + 18, 12 = 2*d + 2*y - 7*y. Suppose 0 = v - d*v. Solve -2*z + k - 1 = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -526, -512, -494, -472, -446?\n\"Answer: 2*k**2 + 8*k - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - w**2 - 16*w**2. Let x be (-1 - 7)*5\/(-20). Let z(i) = -17*i + i**x + 17*i. Calculate z(j(s)).\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t + 60. Let r be s(-3). Suppose -6*q + q = r*z + 164100005, z + 54700002 = -2*q. What is z rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*2636\nAnswer: 23724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1678 + 1683. Calculate the remainder when 76 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-1)\/(-12)). Let q be ((-21)\/y - -2) + 1. Let d = 4.03 - 0.03. Sort -4, d, q.\nAnswer: -4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b165 (base 12) to base 4.\nAnswer: 10230131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y. Let j(q) = -231*q**2 - 38*q. Give j(u(i)).\nAnswer: -14784*i**2 - 304*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((sqrt(54) - -2*sqrt(54))\/sqrt(6))\/sqrt(3))*6)**2.\nAnswer: 432*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000562 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p - 20. Let r be m(5). Suppose -3*n - r + 4 = 0. What are the prime factors of -4 + 21*n\/(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 19*b + 11. Let m be g(-18). What is the tens digit of 8\/(-28) + 16\/m*-22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.17 + -5.22. Sort 1, 3\/4, o in ascending order.\nAnswer: o, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, u: 1, a: 1, d: 2, k: 2}. What is prob of sequence knad?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450 - 474 + 1404 - 478 + 93*c**3.\nAnswer: 93*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*f**3 + 52*f - 3.\nAnswer: -696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 78409 = m - 81316, 0 = -5*z + 2*m + 266223. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17686?\nAnswer: 2, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Suppose -83 = 4*k - l, 0 = -2*k - 5*l - 16 - 9. What is the units digit of s\/k*-2*-30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.965 + 0.965. Which is greater: 40 or c?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 17. Let u = -12 + l. Let f(a) = a**2 - a + 24. What is the tens digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d)\/d**(-2\/13))\/((d**(2\/47)\/d)\/(d*d**(-1\/24)\/d)) assuming d is positive.\nAnswer: d**(74341\/14664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10241 - 10041. Calculate the remainder when 215 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:41 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -7. Let t(k) = k - 1. Let v be t(f). Let z = v + 10. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -3\/4, 23, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b = -627*b - 99*b - 205*b + 53332 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-27 - -36)) + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66436022 + 36?\nAnswer: 66436060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 156 = -267 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*j + 41. Suppose 0 = 3*y - 0*y + j. Which is the smallest value? (a) -0.4 (b) -13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/h*h**(-1\/2))\/(((h**1\/h)\/h*h*h*h)\/(h*h**1)) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*c - 489 + 489)*(-2*c - 3*c**2 + 2*c)*(-c + 0*c + 0*c) to z*c**2 + h + r*c + x*c**3 + g*c**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303640 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/3 + 359*i - 2158\/3 = 0.\nAnswer: -1079, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-32) - -10)\/((8\/(-360))\/(88\/(-275))).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from qaoww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, 6*q - 4318292 + 1533878 = 4*j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129761 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: (((-48)\/(-28))\/(8\/6*102\/(-476)))\/32\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 156 = 5*i. Let d = 1094\/7 - i. Suppose -5 = 4*j - 9. Is d bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8280)\/(4324\/94) + 92.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -635*s + 45720. Calculate v(72).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:53 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2 - 16*a + 64. Let p(m) = 5*m**2 + 15*m - 63. Let x(f) = -3*d(f) - 4*p(f). Let k be x(-9). Solve 3 = -5*y + k*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**3 - 26*j**3 - 62*j**3 + 120*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**3 + 2 + 4*b**2 - 890406*b + 890409*b - 8*b**3 to l*b**3 + n*b + c + x*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248994 and 36?\nAnswer: 497988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 395124988747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h + 6. Let p(d) = d - 1. Determine f(v) + 6*p(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13344 and 90236576?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 15*t - 40 + 0 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00981 to 4 decimal places.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:23 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6375\/34)\/15*2. Which is smaller: 36 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 2*u**2 - 3*u + 4. Let f be -4*5\/10 - 2\/2. Let g be x(f). Solve -5*b - 6 = -3*a + g*a, 14 = 4*a + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from lplsbslbsdb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/3)*x**(-3))\/((x\/x**(2\/5))\/x*x*x\/((x\/x**(-5\/4)*x)\/x)))\/((x**7*x)\/(x\/((x*x**7)\/x))*(x**(1\/4))**49) assuming x is positive.\nAnswer: x**(-424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 271440 and 7560.\nAnswer: 5700240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -359, -685, -949, -1121, -1171, -1069?\n\"Answer: 5*h**3 + h**2 - 364*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3070 - 3074. Let j = -1 - -2. Which is the nearest to -1\/4? (a) n (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*t - t + 1, -3 = h + t. Let w be h + 0 - 9\/(-11). Let d be 1\/(-4) + (-33)\/(-84). Put 5, d, w in increasing order.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -4*(2 + sqrt(300)) + -2 + -1*sqrt(300)*4)**2.\nAnswer: 1280*sqrt(3) + 19264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 754 - 748. Suppose -10647 = m*z - 140853. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 3*v - 34 = 0, 8*y - 57*v + 55*v = -16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 670 - 670.04. What is the third smallest value in -0.3, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.003 - 0.313. Let w = -14.31 - i. Let u = -10 - w. What is the second biggest value in 2, u, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -30*h - 2\/3*h**3 + 0 + 0*h**2. Let k(x) = 2*x**2. Give o(k(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7377 by -7377.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -491 + 494. Suppose n*q - 189 = -3*a, 30*q - 2*a = 25*q + 350. What is the remainder when 144 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -836 + 1954. What are the prime factors of y?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + m + m = 3*m + 60, 179*a = 184*a - 3*m - 158 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96682, 96748, 96820, 96892, 96958, 97012, 97048, 97060?\nAnswer: 97042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - 5) + -1 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 11.6. Let o = h - -11.5. Put 2, 4, 7, o in descending order.\nAnswer: 7, 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m - 358 = 5*m + 42*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 4*c - 3*c + (5*c - 3*c - c)*(1 + 1 - 3) + 1 + 2*c - 1 + 1 - 2*c - 1 + (2 + 2*c - 2)*(-78 + 80 - 797).\nAnswer: -1593*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -19 + 2 + (1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -307363.7072 to the nearest ten.\nAnswer: -307360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2681?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-28))\/(1*(-2)\/1). Put 3, w, -0.09 in ascending order.\nAnswer: -0.09, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181339 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3866068\/19 > 203476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2693*o**3 - 926*o**2 + 561459 with respect to o.\nAnswer: -8079*o**2 - 1852*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqz when three letters picked without replacement from jqzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 12:05 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 + 0*k - k + 7*k**2 - 1 + 6 + k**3. Suppose 0*l = 4*l + 40. Let p be 256\/(-40) + 6\/l. Give a(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27200.657*4\nAnswer: -108802.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2281*u**2 + 9*u - 3. Let t(o) = 8695174*o**2 - 34305*o + 11435. Calculate -3*t(h) - 11435*w(h).\nAnswer: -2287*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 3}. What is prob of sequence rr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0769 - -498.9231. Let q = j - 367.5. Let v = q - 96. Round v to 0 dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k - 15 = 0. Suppose -4*d - 15 = -d, -201 = -4*g - k*d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*-0.55\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 + 1 = 0. Suppose p*l = -l + 110. Let k = 40 - l. Calculate the least common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 32. Let w be u(4). Suppose 0 = y - w*r - 77, 4*y + r + 2*r = 289. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 52 = -10*j. Let t be 1\/((-14)\/j - 2). Let k be 4\/t - ((-10)\/(-3) - 4). What is the closest to k in 0, -3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 3, -324, 4?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40111577*m*v - 54*v - 119501 wrt m?\nAnswer: -40111577*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119 or -0.28?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 6294450.\nAnswer: -6, -2, 6294450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -6, -5*l = -4*u - 25. Suppose a = 3*c, 5*a - l = 3*a - 3*c. Put 0, a, -1, -5 in descending order.\nAnswer: a, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2 + 6253283*l + 6609202?\nAnswer: 4*l + 6253283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15988 and 2669996?\nAnswer: 2669996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/4 + 38109*x\/4 - 133259\/2.\nAnswer: -(x - 7)*(5*x - 38074)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) - (-552)\/288?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.123164g to micrograms.\nAnswer: 123164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 3 (b) 0.49293 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5)*(-627)\/(-171) - ((-45)\/(-2) - 2)\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -39914*p + 558821. Calculate u(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-681)\/6*2\/18. Let f = x + -5\/9. Find the common denominator of f and -45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -65. Let j(z) = 6*z**2 + 13*z - 4. Let d be j(p). Calculate the greatest common divisor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5404.2mm?\nAnswer: 5404200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*l*s*v - 19*l*s - 146*l + 48*s*v - s - 28*v + 1 wrt s?\nAnswer: 12*l*v - 19*l + 48*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 783 or 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 28 = 7*f. Let j = f + -18. What is the least common multiple of 6 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3537*n + 3540*n + 4*j = 50, -2*n + 2*j + 52 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/15*27\/(1 + 2). Let s be -33*(-1)\/(-6)*t\/(-3). Sort -3, s, 3 in ascending order.\nAnswer: s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -936*h**4 + 1834*h + 17995860?\nAnswer: -3744*h**3 + 1834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363824*h + 181881*h + 181907*h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16b (base 13) to base 10\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 2, g: 1, k: 2, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0635 - 0.0495384009\nAnswer: -0.1130384009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**3\/6 - 2*y - 21. Let b(l) = -85*l**2. Give b(s(h)).\nAnswer: -85*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51*(-7)\/119*82\/6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(125)*-2 + -5)*-6)**2 + 3 + -3.\nAnswer: -3600*sqrt(5) + 18900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3206 (base 10) to base 5\nAnswer: -100311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 413520252?\nAnswer: -413520252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45711403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(525) - sqrt(21)))\/((-3*sqrt(9))\/sqrt(3))*1.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Let r be (-3)\/((-21)\/4) - (-120)\/4*1\/(-175). Which is the second biggest value? (a) -4 (b) r (c) -1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-11) - (-133)\/(-385). Sort y, 14, -5.\nAnswer: -5, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147027830 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -4*j**5\/5 - 3*j**4\/2 + 8*j**3\/3 + 3*j**2 - 4*j - 775. Find c, given that q(c) = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 72 = f. Suppose 4*j - 3*j = 270. Suppose 2*t - c = 45 + 66, j = 5*t - c. Calculate the remainder when t is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13*h = 6*h - 2352. What is the greatest common factor of h and 3136?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 24 = 8*k. Suppose k = d + 4*r - 67, 291 = 5*d - 3*r. What is the highest common factor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49147536.\nAnswer: 2, 3, 53, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25382.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, c: 13, i: 5}. What is prob of sequence vvi?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1347 and 58819.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 15. Suppose 4 = -k, 4*c + 2*k = k + m. Let l = -284 + 304. Calculate the remainder when l is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/14 and (-15)\/4 - (-35 - -32).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279064 (base 13) to base 6\nAnswer: -32343224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/23 in 1\/7, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + 0 + -9)*-1. Solve d*w + 11 = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/(-22) - (0\/2 - -3). Suppose -8*i + x*i = -12. What is the smallest common multiple of i and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-11)*(-1 + 0). Calculate the greatest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 27. Let m be 736\/2 - (-4 - w). Suppose -16*u + m = -13*u. What is u rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -14, 3, -3, -39 in decreasing order.\nAnswer: 5, 3, 1, -3, -14, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 449 + -449. Solve -2*b = 3*o + 3, 4*o - 5*b = -g*b - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 - 109291*v - 109294*v + 218585*v.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 38*g - 46 - 5*g - 20 to b*g + t and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275 - -280. Solve 2*i + x - 1 = z, -6 = -3*i - 3*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2538336 or 2538335?\nAnswer: 2538335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18502619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -288607885 or -288607886?\nAnswer: -288607885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5275 + 76*v - 62*v + 743*v + 5275.\nAnswer: 757*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*24\/14*(-15)\/(-90)*-21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0 - t**3 + 0*t**2 + 4*t + 1\/4*t**4. What is the second derivative of w(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 27*a**2 - 96*a + 177. Let c(o) = 11*o**2 - 38*o + 70. Let l(d) = -12*c(d) + 5*z(d). Find h, given that l(h) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*l**5 - l**6 - 2507*l**2 + 14574*l + 9947*l**2 + 52*l**5 - 14574*l wrt l.\nAnswer: -120*l**3 - 1860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0 - 53\/12*s**4 + 0*s**3 + 6\/5*s**5 + 0*s + 128*s**2. What is the second derivative of x(v) wrt v?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -11*b**5\/60 - b**3\/6 + 22*b**2. What is x(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -4 - (-2 + 2 + 7 + (566 - 478))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 + 16*r**3 - 844 + 420 + 424.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 55 = 3. Suppose 2*d = i + 11, -d = 4*d - 3*i - q. Let g(l) = -l + 2. Let j be g(-2). What is the smallest value in d, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364 - -220. Let r be (q\/(-28))\/((-45)\/(-420)). Calculate the greatest common divisor of 208 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52311.231 minutes to weeks.\nAnswer: 5.18960625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/1)\/(-3 - -4). Solve -8 - w = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 47.8, 7, 0.2, 5\/136 in decreasing order.\nAnswer: 47.8, 7, 0.5, 0.2, 5\/136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*n = 107*n - 19370. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*r + 4, -4*r + 9 + 1 = -5*l. Let a be (l\/(-4))\/(4 + 525\/(-130)). Solve -a + 3 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 140. Calculate the highest common factor of 15 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845616382?\nAnswer: 2, 922808191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 15*v**4\/4 - 35*v**3\/4 + 5*v**2\/2 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 2. Suppose 20 = -4*n + 6*n. Is d(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107638 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*-6*(-6)\/9\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, 0, 2, 4, 52 in increasing order.\nAnswer: 0, 2, 4, 5, 34, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 13. Put 1.4, 3\/5, s in descending order.\nAnswer: s, 1.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3113\/487 - 12525232\/1962123. Let j = y + -2229851\/2686. Let z = j - -849. Calculate the common denominator of z and -59\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2006\/49509 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 397 = -h - i, -h = 5*i - 221. Let q = h - 137. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 15*q + 606 = 276 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - 0 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(((h\/h**(-26))\/h)\/h)\/h*h*h*h\/h**(-22) assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:28 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**(-10)\/d)*d*d\/(d**(-16\/11)*d)*d assuming d is positive.\nAnswer: d**(181\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 44*b**2 - b + 2. What is the tens digit of n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 43. What is the derivative of 24 + 4*g - g**2 - s + 16 wrt g?\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + u + (-2*u + 0 + 0)*(-9 - 20 + 35) + (-6*u + 3*u + 2*u)*(-1 - 1 + 0) + 2*u - 5 + 5 + 2*u - u + 0*u in the form s + o*u and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 53. List the prime factors of 3 + -1 - 3 - d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 25*u**2 + 336*u + 443. What is l(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**2 - 10*d**2 - 2*d - 16*d**2 + 10*d**2 to r + o*d**2 + m*d and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315 - -6?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 - -186. What is the third smallest value in -4, b, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + 9 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 + -4) - (-78 + 98).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvvvvmvvmmv. What is prob of sequence mvv?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*328131.26.\nAnswer: -9843.9378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 - 361*c**2 + 18121*c\/2 + 80941.\nAnswer: -(c - 31)*(c + 7)*(c + 746)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-3)\/(-2 + (15576\/(-3892))\/(-2)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - -3 - -3 - (19 - (-34 + 39))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + sqrt(242) + 1)**2 + sqrt(242))*6.\nAnswer: 330*sqrt(2) + 5814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*c*h**3*l**3 - 25*c*h**3*l**2 + 19*c*h*l**2 - 2*c*h*l - 4*h**2*l**3 + 9*h wrt h?\nAnswer: 408*c*l**3 - 150*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*d*s**2 + d*s - 6029*d*v + 13*d + 18*s**2*v - 3434*s**2 - 12*v wrt v?\nAnswer: -6029*d + 18*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64\/5 - 438\/35. Suppose -i - 16 = 5*l, -l = -2*i + 1 - 0. Is i < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.3706\nAnswer: 0.03706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4709*a**2. Let v(j) = -63*j + 13. Let w(s) = -34*s + 7. Let r(d) = 7*v(d) - 13*w(d). Determine r(m(p)).\nAnswer: -4709*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*b - 55 = 3*o - 2*o, 3*b - 2 - 61 = 54*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 11*o - o = 13*o - 14, -64 = -3*d + 26*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 5*u. Let n(v) = -v**2 + 4*v. Let p(t) = -4*m(t) + 5*n(t). Let g(h) = h + 3 + 6 - 16 + 7. What is g(p(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 115 = -5*v, -2*v - 3*t + 39 = -16. Suppose 2*g + s - 4 = 0, 3*g - s - s = v. Solve -3*y = -4*y + g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + 2*o + 5. Let r be c(4). Calculate the least common multiple of 18 and (-5)\/15 - 37\/r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - -11)\/(-9) + 30\/(-7) + 4. Let y = -0.79 - -0.49. Which is the biggest value? (a) 7 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -88.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + 495. Let i = 633 - l. Suppose b - 2 = -0, -2*b + 149 = 5*r. Calculate the greatest common factor of r and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104239599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 1238*t**2 + 1872*t + 1863. What is s(-311)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 309. Suppose 10*s - 5*s = x. Is 17 a factor of (-174)\/(-10) + (-8)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321735 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-100)\/120*(-6)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*i + 190744 = 190709, 5*i = -4*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42160 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 p when three letters picked without replacement from pzzppzzppczzczzpzczc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 41*f + 41*f. Let v(w) = -8*w**2. Give t(v(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8.223 * 0.5\nAnswer: 4.1115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (-5 - 2 + 5)*(3 - 3 - 1))*(242*o - 118*o + 134*o).\nAnswer: 1032*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {b: 13, c: 4, d: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)\/((-2*sqrt(80))\/sqrt(10)))\/(1*sqrt(800) - (2*sqrt(72) - sqrt(72))\/sqrt(9)))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69845 and 11?\nAnswer: 768295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*m - 68*m = -823*m - 22977 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*s - 20, -5*s + 15 = -10*s + 3*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 + 261\/530. Let r = y + -508\/2915. Sort r, -0.1, -1 in decreasing order.\nAnswer: -0.1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 154, 310, 466, 622, 778, 934?\n\"Answer: 156*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4599103?\nAnswer: 23, 199961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 237, 113, -13?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 1085*p + 2166. Give v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64, -136, -248, -400, -592?\n\"Answer: -20*z**2 - 12*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 5*sqrt(2736)*-1*5 + (-6*2*sqrt(2736) - -5*(sqrt(2736) + sqrt(2736) + 1)))**2.\nAnswer: -34992*sqrt(19) + 11967750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/6 and 29\/(-6)*(-16)\/88.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431 + -429.19. Let m = 5.81 - b. Suppose -2*y - 14 = 4*o, 4*o - 2*y = -3 - 7. What is the smallest value in m, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 3*f**2 - 2*f**2 + 2 + 280*f - 300*f + f**2 - 4 + (2*f + 0*f + 0*f)*(2*f + 2 - 2).\nAnswer: 6*f**2 - 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 6*m**3 + 18*m**2 - 10*m.\nAnswer: -2*m*(m - 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 72*h - 94. Let q(g) = -14*g**2 + 218*g + 284. Let y(m) = -6*q(m) - 17*z(m). Differentiate y(t) wrt t.\nAnswer: -2*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.105865 litres in millilitres?\nAnswer: 8105.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 5, i: 1, w: 2, x: 1, o: 2}. What is prob of picking 1 r, 1 o, and 1 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1451 and 58833?\nAnswer: 60284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, 1 g, and 1 b when four letters picked without replacement from {g: 1, p: 1, b: 1, l: 6}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:37 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*4192\nAnswer: -419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13*w = -11*w + 14, 4*l + 7*w + 23 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Suppose -31 = 2*z - 4*h - 13, -h = s*z - 9. Solve b = -z + 3, -5*j = -3*b + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -z - 2, -3*z = -4*z + 3*c + 6. Solve 0 = z*m - m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 22 + 12 + (-3 - 4 + 5)*(2 - 3 + 3))*(2 + 4 - 3)*(4 - 4 - x**2) to f + u*x**2 + j*x and give u.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/29493 + -2329907\/1179720. Let i = -11\/8 - t. Sort 3\/4, i, 1\/8, 3\/7.\nAnswer: 1\/8, 3\/7, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53\/120 - -43\/120. Put 1, t, 1\/20 in descending order.\nAnswer: 1, t, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -472.1 > 18832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 398, 885, 1544, 2363, 3330, 4433, 5660?\n\"Answer: -2*v**3 + 104*v**2 + 5*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 48*k - 3. Let b be m(6). Suppose -b = -f - 4*j - j, 33 = 2*f - j. What is the remainder when 135 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/12 - 7*j**2. Let v(c) be the first derivative of -4\/3*c**3 + 0*c**2 + 3 + 0*c. Give v(m(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spl when three letters picked without replacement from lzzjlsjop?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 76\/5. Let r(w) = -w - 5. Let z be r(-6). Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3113 (b) -0.3 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = -s - s. Let z be s\/(-6) + 2\/12. Suppose 6*c = c + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2003 - 1074. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.9, -1\/4, -3\/7, 207, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 209*g**2 - 2333*g + 1052. What is y(-11)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179973*t*u**2 + 157888*u**2 wrt t.\nAnswer: 179973*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*j + 4*b - 23, -b = 3*j - 17. Let y = 570 - 90. Let q = y - 436. What is the greatest common factor of j and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esv when three letters picked without replacement from efvvpeps?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rdrdddddrrdddd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 22. Suppose -2 = -c - 2*j - 0*j, -8 = -c + 4*j. Suppose -4*y + 5*d - 5 = 0, k*y = -d + c - 3. What is the closest to 0 in y, 3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 + 2136\/132. Let v = -13 + h. Find the second derivative of 5 - 3 - 2 - v*p**5 - 6*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 3. Give p(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.91262 millimeters in kilometers?\nAnswer: 0.00003491262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-72) + (51\/12 - 5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225 (base 10) to base 2.\nAnswer: -10011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1506 - -847. Let h = 658.9997645 + n. What is h rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2561*a**2 + 6717*a**2 - 813*a + 813*a.\nAnswer: 9278*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15840 divided by -12.\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*b + 61. Solve i + 4*m = -13, 2*i - b = m + 3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348 * -3.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5427 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8669036 and -48\/10836295.\nAnswer: 43345180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.576 and 6004.\nAnswer: -3458.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673426?\nAnswer: 2, 13, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n. Let x be z(0). Let y = 1 - -4. Suppose -5*u = -0*o + o - 55, -u + o + y = x. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(3) + 2*sqrt(48) - (sqrt(3) - (1 + sqrt(48)) - sqrt(3))))**2.\nAnswer: 156*sqrt(3) + 18253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -214, -310?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6) + 0)\/((-270)\/1296). Solve -s*n = 18 - 74 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19550, -19653, -19760, -19871?\nAnswer: -19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11729\/4 - 2952. Find the common denominator of -67\/10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**7\/15120 + y**6\/2160 - y**4\/4 + 14*y. Let m(r) be the third derivative of j(r). Suppose m(l) = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 274*y**9\/63 + 7*y**5\/15 - 2*y**3 + 7*y**2 - 15*y. What is the third derivative of n(b) wrt b?\nAnswer: 263040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75892998 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 143*g - 999. Let s be y(-7). Is s equal to 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -12.4.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*y = 19, 2*y + 3*y = -o - 23. Suppose v + 20 = -4*v, 0 = o*g - 3*v - 56. Suppose -588 = -26*t + g*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:01 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtqtuq. Give prob of sequence utq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6*-34317\nAnswer: 205902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 - 22*m - 39. Suppose -5*q = -2*p - 6, -95*p = q - 90*p + 42. Determine x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/(b*b*((b*b**6)\/b)\/b))\/(b**1*b)**0)\/(b**(-4\/3)*b**(-5)\/b*((b\/b**(-8))\/b)\/(b\/b**(-1\/3))) assuming b is positive.\nAnswer: b**(-101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1280 - -1292. Solve 7*z - g*z = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5 - 10854*a**2 + 185*a**4 + 10*a**5 + a**3 - 4*a + 11001*a**2 wrt a.\nAnswer: 420*a**2 + 4440*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 240*h**3 - 2*h + 109564*h**2 - 109562*h**2 - 28 as g + n*h**3 + q*h + f*h**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(55)\/(sqrt(5) - sqrt(125)) - (sqrt(539) + 1 + sqrt(539) + ((sqrt(99)\/sqrt(3))\/sqrt(3) - sqrt(11)))**2.\nAnswer: -2157 - 111*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 408 = -42*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 689790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9665 + -0.0335. Let s = -29 - -2. Sort s, g, 2.\nAnswer: s, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1181 + -1094. Calculate the highest common divisor of 841 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -111 + 30. Let g be 6\/f - (-25)\/9. Solve -g*s - 3*r = -15, 0 = -s + 3*s - 2*r + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4180 + 0?\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*2*3*(-4*sqrt(325)*2 + sqrt(325))*2.\nAnswer: -2520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2.9 (c) 0.3 (d) -5 (e) 417 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*y - 23. What is the greatest common divisor of y and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1115*m**3 + m**2 - 2*m + 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g + 3. Let q be c(0). Suppose j + q = -2*y + 2, -4*y + 28 = -4*j. Factor 4*f - 6*f**3 + 2 - 2 - 2*f**y.\nAnswer: -2*f*(f + 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:28 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231 + -3014?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -5*x**3\/3 - 4*x**2 + 18*x + 16. Let y(j) = -j + 4*j + 1 + 2. What is 3*k(t) + 8*y(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775599 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 39*u**2 - 41*u + 116. Let x be b(38). Solve -3*w = 4*t - 5*t + 8, x*t = 3*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 84 = -2*d, h - 2*d + 127 = -2*h. Let u = h - -45. Suppose 2 = -o, u*g - 7*g + 224 = 3*o. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 994 and -24.29836.\nAnswer: 969.70164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61808 and 36.\nAnswer: 556272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -606, 4, 2 in ascending order.\nAnswer: -606, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + s**3 + 3*s**2 + 2 + 4*s**2 + 0*s**3. Let x = 602 + -606. Is 16 a factor of j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 2, z: 1, f: 1, n: 1}. Give prob of sequence nss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 - 2*n + 1. Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/30 - y**4\/12 + 2*y**2 - 2*y. Let r(s) be the first derivative of f(s). What is the second derivative of r(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(3) + 0 + sqrt(3))**2 - sqrt(3)) + -4 - (-1 + 0 + (sqrt(3) - sqrt(9)\/sqrt(3))**2).\nAnswer: -sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 1)*(2*c - 2*c + 4*c**2) - c**2 + 0*c**2 + 0*c**2 in the form v + m*c + g*c**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*u + 21, 5*s - 3*s - 5*s - 2*s + 5*u + 35 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2 + -0.8. Let q = m + 7. What is the smallest value in -0.4, q, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1599458 divided by 32642?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1871 and 25771154.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m. Let g(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + 177*x**2\/2 + 1389*x. What is the hundreds digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 22*v = 23*v + 845666, 5 = -5*v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*s**4 + 51*s**4 - 30*s**4 + (s**4 + 2*s**4 - 2*s**4)*(-126 - 8 + 32).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14646 - -27?\nAnswer: 14673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 - 260*w**2 + 260*w**2.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3445 = -16*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 28 = 2*j. Factor 0 + 9\/4*n**j + 3\/2*n**2 + 1\/4*n.\nAnswer: n*(3*n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-52 + 104) + 54\/15*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-5 - -4)) + -19 + 9 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24973 rounded to 3 dps?\nAnswer: 1.25","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 {v: 2, w: 4, t: 1, a: 4, c: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)**2*1.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 361137 in descending order.\nAnswer: 361137, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 28.16. Let f = j - 0.161. Round f to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14*m = -1737. Let c = 343 + m. Let l = c + -6. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -5*d**3\/3 + d**2\/2 + 7*d + 4. Let o(m) = 9*m**2 - 2*m - 13. Let a(t) = -11*k(t) - 6*o(t). What is a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.361080272 + -28.361080922. Let a = 0.057 + -28.057. Let v = a - z. What is v rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 2*w + 6*w to the form y*w + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-4 + (-24)\/(-21)). Calculate the highest common factor of x and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a + 1cb5d2?\nAnswer: 1cb546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -19. Let h = -20 - x. Suppose h*k + 90 = 318. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -177*g**2 + 2499*g - 13. Give q(14).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*342\/(-24). Let w(v) = -v**3 + 19*v**2 + 4*v + 39. Let u be w(t). Find the third derivative of -15*z**2 + 123*z**3 - 7*z**2 - u*z**3 wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12014*f + 12014*f + 2*f**2. Let u(l) = 305*l + 1. Calculate u(y(s)).\nAnswer: 610*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f\/f**1*(f\/(f*f**(1\/4))*f)**6)**20 assuming f is positive.\nAnswer: f**(310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 - -251. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a**3 - 183*a**2 - 42*a - 594. What is r(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2760.\nAnswer: 1\/920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47\/88 (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7073300 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 136*r + 634. Give s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 + 0*s**4 + 0*s - 1\/30*s**5 - 131*s**2 + 4\/3*s**3. Let i(w) = 5*w. What is i(f(g))?\nAnswer: -10*g**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 52 - 392 = 0. Suppose i = 7*a + 69. Solve 0*v = 6*v + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Let t be (5\/(-2) - -1)\/(10\/(-20)). Let a(l) = l**3 - 2*l**2 - 4*l + 3. Let n be a(t). Sort x, n, 5 in descending order.\nAnswer: 5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = -8*w + 145. Which is greater: -244\/7 or w?\nAnswer: -244\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 1. Let n(l) = 4*l - 11. Let v(z) = -n(z) + 3*p(z). Let g be v(-8). What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9541 - -9623.81. Let i = l + -83. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 3, q: 13}. Give prob of sequence mq.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -223\/2135?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157.9 - -158. Is -17 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 962 - 313. Let j = -403 + i. What are the prime factors of j?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 - k**3\/6 - k**2\/2 - 2*k. Let l(y) = -14*y**2 + 3*y - 1. Let a(f) = -l(f) - 3*m(f). Differentiate a(q) wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*i = 43, -2*r + 0*i = -i - 17. Let y = 282.3 + -280.3. Let n = -72 + 71. Which is the closest to y? (a) 0.4 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (0 - -11) + -1 + (43 - 43).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.4 - 44.668. Let z = y - -0.268. Put z, -11, -0.1, -1\/9 in ascending order.\nAnswer: -11, -1\/9, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175160 - 158030 = -4666*t + 7428 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 1, w: 6, f: 1, z: 4}. What is prob of picking 1 w and 1 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -761.\nAnswer: 760.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 - 15)\/(-1 - -2). Is -2 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 1, -4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17171 - -17184. Solve -a = 17*v + 55 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**3 - g**2 - 13*g - 16. Let j(n) = -10*n**3 + 12*n + 16. Let r(y) = -5*j(y) - 4*p(y). Factor r(s).\nAnswer: 2*(s - 2)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 8. Let t(f) = 13*f + 2. Let g be t(5). Suppose -g = -4*p - 11. Calculate the remainder when p is divided by q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394178837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 112?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8446, -7563, -6682, -5803, -4926, -4051?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5891, -5889, -5895, -5915, -5955, -6021, -6119, -6255?\n\"Answer: -d**3 + 2*d**2 + 3*d - 5895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267996?\nAnswer: 2, 17, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 + 1. Let i be u(-1). Let t = 1.3 - 1.9. Let j = 65813 - 65818. Which is the biggest value? (a) j (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 8636700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -26*u - 1. Give p(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30804*f**4 + 483*f**3 - 43834340*f**2.\nAnswer: -739296*f + 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c + 3 - 3 - 178*c + 99*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (4 - (-33)\/(-7)). What is the biggest value in 11\/2, -2\/5, f?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*u = 319*u + 288. Is -16 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6*n = -4, -3*u = 3*n - 17 + 20. Let m(r) = 127*r - 9. Let z(c) = 32*c - 2. What is u*m(i) + 9*z(i)?\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/17 - 5388*c**2\/17 + 128160*c\/17.\nAnswer: 2*c*(c - 2670)*(c - 24)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 116*p + 1264. Determine l(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 2*j. Let y be i(-2). Let x(v) = v**3 + 3*v**2 - 16*v - 13. Let p be x(-6). Calculate the least common multiple of 5 and 2*3 - (y - p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 29*f**3\/3 - 1532*f**2\/3 + 24449*f\/3 - 34914 = 0.\nAnswer: 198\/29, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 8*d = -24*d + 25, 2*r - d + 21 - 11 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32*o - 12. Let s be y(-4). Let l be (-2)\/(-6) + s\/42. Let a(v) = 6*v - 2. Let g(h) = -5*h + 2. What is l*a(j) - 4*g(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.04563.\nAnswer: 0.018252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5 + 8*z**4 - 12*z**3 + 8*z**2 - 2*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106346165 to the nearest integer?\nAnswer: 10312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) 0.088 (c) -3\/7 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a - o, -140*o + 139*o + 1 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let r(v) = v. Let f be r(q). Suppose -f*i = -i - 12. What is the remainder when 22 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 578*x**2 + 141*x - 19. Let c be f(-23). Round c to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 754, 36, 5 in ascending order.\nAnswer: -4, -3, 5, 36, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 765?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 - -5.1.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50893631*x*y - 2*x + 2403611 wrt y?\nAnswer: -50893631*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -1772.5 (b) -2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122723413 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 8. Let q(f) = 3*f**2 + 12*f - 17. Let i(r) = -r**2 - 4*r + 6. Let y(n) = v*i(n) - 6*q(n). Factor y(b).\nAnswer: -b*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**3 - 4*m**2 + 4*m - 99. What is the remainder when t(6) is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (24 - 9) - (-2 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/9, -20.6, 1, 1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 963 + -963.1. What is the closest to 0.03 in p, -5, 3, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 1) + -1 + (-2)\/(-1). Suppose 0 = 2*a - 5*a + 3*t + 3, a + 5*t - o = 0. What is the remainder when ((-49)\/14)\/((-1)\/a) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 + 6\/10. Let m = 14 + -23. Let b = m + 9. What is the second smallest value in a, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s*s**(-5\/4)*s))\/(s**(-3))**(5\/13) assuming s is positive.\nAnswer: s**(333\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.014587 + 0.01637314. What is y rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 2*l**2 + 6*l + 9. Let c be k(-2). What is the biggest value in 1\/4, c, -15\/7, -0.1, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 327. Let v(w) = 51827*w + 2. What is g(v(k))?\nAnswer: 103654*k + 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -176, 3160 in decreasing order.\nAnswer: 3160, -3, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 - 193. Suppose 9*z + g + 72 = 0. Let k be (-1)\/(-4) + (-5)\/(z\/3). Solve -k = 2*s - 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-7)\/35 - 8\/(-4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 13*v**4\/4 + 2*v**3\/3 - v**2 + v + 5. Suppose -1 = 7*d - 15. Suppose d*o - 76 = -74. Give u(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4531286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372*c**3*p - 2245*c**3 + 2*c**2*p + 178*c - 71*p wrt c.\nAnswer: 2232*p - 13470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Determine m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 2*c - 4. Let b(s) = 5*s - 1 - 5*s + s. Let v be 6*1\/(-15) - 92\/(-5). Suppose -3*z = 3*z + v. Determine z*b(m) + k(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 9. What is the remainder when (-5)\/(-5)*1 - (-16 + 2) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:32 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2193737, 4387478, 6581217, 8774954, 10968689?\nAnswer: 13162422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-10 + 6 - (-1 - 3)). Factor 2\/7*c**2 + b + 2\/7*c.\nAnswer: 2*c*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*u + 229*u + 969 = 0. Let c = 492 + u. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 - 976*d - 6821. Give x(-7).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519894?\nAnswer: 2, 3, 17, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a4 (base 14) to base 2.\nAnswer: 10001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -3\/8, 228, -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbfjfbjbjj. Give prob of sequence jjb.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-440)*3*1*5.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/59 (b) -7\/16 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/360 - t**5\/60 + t**4\/24 - t**3\/3 - 3*t**2. Let j(i) be the first derivative of h(i). Suppose j(c) = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 14*p**3\/5 + 18941*p**2\/5 - 1356*p\/5 - 4059\/5 = 0?\nAnswer: -1353, -3\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 185*r - 54812. What is w(296)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -109, -180, -251, -322?\n\"Answer: -71*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -4. Let j = p + 18. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -119, -531, -1541, -3449, -6555, -11159, -17561, -26061?\n\"Answer: -50*n**3 + n**2 - 65*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30641292 divided by -154754?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*b**2 + 298*b**2 - 5*b + 3*b**3.\nAnswer: 3*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/(-6))\/((-630)\/(-189)))\/(3\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.56708 or 1\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 + c - 2. Give x(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 1, 0, 3 in decreasing order.\nAnswer: 104, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*4)**2 + sqrt(209)\/(sqrt(77)\/sqrt(7)).\nAnswer: sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p. Solve 0*z + z - 3 = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(220) - -2*sqrt(220)))\/(2*sqrt(720)) + 4.\nAnswer: -5*sqrt(11)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4072636 is divided by 101815.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let y(h) be the first derivative of -1\/16*h**4 + 0*h**l + 0*h - 2 + 0*h**2 - 1\/24*h**6 + 1\/10*h**5. Solve y(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 5:42 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364189942 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 249*m - 80*m + 9*m**2 + 2*m**2 - 4*m**2.\nAnswer: 7*m**2 - 329*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*m - 3*h**2*m**3 - 515*h**2 + 14*m**3 - 2*m + 99 with respect to h.\nAnswer: -3*h**2*m - 6*h*m**3 - 1030*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3608 + -0.1608. What is the biggest value in 9, 1\/4, 8, y?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431*-4026.\nAnswer: 1735206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let u(y) = -5*y**2 - 30. Let l(a) = -30*m(a) + u(a). Let s(d) = 51*d**2. What is s(l(c))?\nAnswer: 1275*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:25 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -233, -529, -943, -1475, -2125, -2893?\n\"Answer: -59*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = 5*v. Let k(w) = 6*w**2 - 3*w + 2. Let y be k(2). What is the greatest common divisor of y and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21256885 (base 9) to base 5\nAnswer: 10111102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 66 + 12. What is the remainder when y is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 11 = 5*g, d = 12*g - 10*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:33 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -52, -57, -62, -67, -72?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*l**3 + 2*l + 0 + 32*l**3 + 1 to the form j*l**2 + p*l + i + c*l**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 0*t. Suppose -8 + t = 5*i. Let z be (-5)\/(-2)*(-22)\/i. What is the highest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253378 is divided by 6031?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 920719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5301 divided by -589\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -920?\nAnswer: 91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 8*r - 10*r + 25*r. Let c(n) = 15*n. Determine z(c(w)).\nAnswer: 240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17691, 17877, 18179, 18591, 19107, 19721?\n\"Answer: -x**3 + 64*x**2 + x + 17627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61111, 61119, 61127, 61135, 61143?\nAnswer: 61151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1472 + 2*s**2 - 2009 - 69*s - 49*s - 3*s**2 = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 40*n + 193. Let m(u) = -u**2 - 1. Let x = 24 - 26. Let p(k) = x*b(k) + 14*m(k). Factor p(a).\nAnswer: -4*(a - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 + 16. What are the prime factors of t?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5986847 to the power of 1\/2, to the nearest integer?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 264095 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 17*z + 143. Does 18 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*k**5 + 11*k**2 + 44*k + 117 wrt k.\nAnswer: 6300*k**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 2*v**2\/3 + 2*v\/3.\nAnswer: v*(v + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02000008 + 0.02. Round y to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0563703826 rounded to 4 decimal places?\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 75. Suppose 4*h - r = -9. Suppose 3*n + 3*i = -i - 11, 4*n - 5*i = 37. What is the remainder when h is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14579\/20 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(-79329)\/(-4265)*15\/6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -87. Suppose 35 + 13 = i*h. Solve -16 = -4*u, -3*x = -x - 4*u + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, -283, -592, -1033, -1612, -2335?\n\"Answer: -s**3 - 57*s**2 - 5*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/7, 2, -2\/3, -27597?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/210 - 5*h**4\/84 + 42*h**2. Factor a(o).\nAnswer: 2*o*(o - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527467, -4, 2, -1 in descending order.\nAnswer: 2, -1, -4, -527467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214355 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.1. Suppose -5 = -2*l + 5. Let b = -4.5 - -4. What is the smallest value in l, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88020891 rounded to 3 dps?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(2*m - 4*m + m) - 6*m + 2*m + m - m + 6*m - 3*m to the form z + i*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 9592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 - 190*v**3\/9 - 1318*v**2\/9 - 2866*v\/9 - 460\/3 = 0.\nAnswer: -23, -5, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyfhzhzhfzfjzzf. Give prob of picking 1 y, 1 j, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*i**(4\/7))**(-4\/7)*(i\/i**0)**(-1)\/((i\/i**(3\/4))\/(i*i**(1\/4))) assuming i is positive.\nAnswer: i**(26\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8941947 (base 10) in base 15?\nAnswer: -bb96ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -199, -230, -261, -292?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1992 and -77\/288840?\nAnswer: 288840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 14*v + 410. Let p(h) be the first derivative of -3\/5*h + 1\/20*h**v - 21 + 2\/15*h**3 + 1\/40*h**4. Factor p(o).\nAnswer: (o - 1)*(o + 2)*(o + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**2 + 26. Let f(i) be the third derivative of i**5\/30 - i**2. Give f(z(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-7 - -7 - -3) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 - -255. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972628417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 661877054 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6979 - -1?\nAnswer: 6980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u + 54 - 118 + 23*u - 58. List the prime factors of v(25).\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2610 divided by -290.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1302\/(-3069))\/((-3)\/33). Let d(n) be the first derivative of 29\/2*n**2 + 13 + 0*n - g*n**3. What is the second derivative of d(s) wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/3 - 2*z**2 + z + 1. Suppose 0 = 12*t - 7*t - 20. What is p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2*x + x - 1 + 3*x**2 - x. Let t(l) = l**3 - 3*l**2 - 4*l + 7. Let h be t(3). Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + 9 + 420\/(-14). Which is the smallest value? (a) -5 (b) -122 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-11 - 52185\/(-42))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from ciilz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5001 take away 41130270?\nAnswer: -41135271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 21 + -2 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l + i, -7*l + 5*l + 3*i = -10. Suppose 150 = -l*d + 4*d. Let z be (-6)\/15 + (-754)\/(-10). Is z less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12041 - 3240?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/6 - p**4\/6 + 7*p**3\/6 + 21*p**2. Let t be f(3). Find the common denominator of 1479\/t*10\/(-4) and 47\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/33)\/(-6 + 82\/12). Solve b*k + k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -108, -329, -722, -1335?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -0.5 (c) -0.09346 (d) -0.057 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*1 + (-75 - -72). Find the second derivative of -90*w**5 - 126*w**x + 293*w - 84*w wrt w.\nAnswer: -4320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*1*-3*(sqrt(20)\/sqrt(4) - sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n + 3*o = 45*n - 104324, 5*o - 47420 = -5*n. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgglgggggggggggggg. Give prob of picking 1 g and 2 l.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 25. Suppose -5*g = -0*g - 25. Put 1, g, z in increasing order.\nAnswer: z, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 786343296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6 + 3 + (0 - 2 + 0)*(3 + 1 - 5) + 6 - 4 - 3)*(1 - 3 + 4)*(-7*d + d - 2*d)*(1 + 3 + 1).\nAnswer: 880*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + a?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - 5 + 5)*(-l + 2*l + 0*l) - 54*l**3 - 46*l**3 - 20*l**3 - 3*l**4.\nAnswer: -6*l**4 - 120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26944 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/18 and -73\/37300.\nAnswer: 335700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62684?\nAnswer: 2, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1163 and 4821798.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17074*m**4 + 1804*m**3 - 12458*m**2 - 3*m + 320 wrt m.\nAnswer: -409776*m + 10824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/21 - 53950*k\/21 + 7678684\/3 = 0.\nAnswer: -27937, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 850 or 851?\nAnswer: 850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18d5080 (base 14) to base 13\nAnswer: 2733269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/9 - 17*d**3\/9 + 14*d**2\/3 + 4*d\/9 - 56\/9.\nAnswer: (d - 14)*(d - 2)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/164 and 75\/14.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*m**2 + 42624*m**4 - 165*m**2 + m - 42627*m**4 + 18 to q + i*m**3 + s*m**4 + f*m + u*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 117 and 9927\/85 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, -26138, 5, 1 in descending order.\nAnswer: 5, 1, 0, -1, -2, -26138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 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: Work out 12 - 7.6258.\nAnswer: 4.3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14408 = -5*q + 4*a, q + 5*a = 3*q - 5770. Does 48 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.032 from 11916897.\nAnswer: 11916896.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 26. Let v(u) = 23*u + 1. Let k be v(3). Calculate the greatest common factor of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34001.73431 rounded to the nearest ten?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001318692817 rounded to 7 dps?\nAnswer: 0.0001319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 9. Let z(p) = 31 + 3 - 2*p**2 - 14 + 6. What is 11*c(j) + 4*z(j)?\nAnswer: 3*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -45*k**3 + 2*k**2 + 4*k - 8. Let f(p) = -91*p**3 + 5*p**2 + 10*p - 18. Give 2*f(j) - 5*q(j).\nAnswer: 43*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49537839?\nAnswer: 3, 13, 1270201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1912636\/937 or -2041?\nAnswer: -2041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 2. Let r be m(2). Let d(t) = -2*t + r*t + 0*t - 4*t. Let f(j) = 4*j. Give d(f(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 116\/8. Let f = o + -25. Let x = 13 + f. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4933427023?\nAnswer: 7, 43, 16390123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 4*g + 8*g + 0*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v + 32. Let u be q(-11). Let y = -30 + 18. Let i be y\/10*(-20)\/(-6). Is u > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -27*b + 140 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -27 (c) -0.06 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17119559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 534219 or 534217?\nAnswer: 534217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -833 + 259. Let v be x\/(-8) - (-33)\/(-44). Suppose -5*h + 0*n + 140 = 5*n, -2*h + 3*n + v = 0. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984924151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 39. Let v be o(0). Suppose m - v = -0*b - b, 5 = b. Let c = -7 + m. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((2\/3)\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*k - 3*x - 187, -k = 4*x - 35. Calculate the highest common factor of k and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(-53)\/1007?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + -10032?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 5*f + 42 = 0. Let c = 93 - 64. Let a = f + c. Calculate the smallest common multiple of 44 and a.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**2 + 102*b - 4628. Give c(-27).\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 30*m**2 + 29*m. Let y be t(29). Solve y = -2*q - 1 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/804*2\/(-2)*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*u + 883136 + 1479114, f + 2362292 = 5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 150*v + 0 - 213\/2*v**2 + 29\/2*v**3. Differentiate x(y) with respect to y.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q\/(q\/(q*q**3))))\/q**6)**(-1\/19)\/(q**(-1)\/q*q*q\/(q\/((q\/(q*q**(1\/3)))\/q))*((q\/q**(6\/11))\/q)\/q**(3\/5)) assuming q is positive.\nAnswer: q**(12226\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1998 and 70596?\nAnswer: 211788","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 14*s**4 + 32*s**4 - 3 + 3*s + 2*s**2 + 6*s**3 - 36*s**4 to k*s + p*s**3 + i*s**4 + c + u*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0\/1)\/1. Suppose 10*t - 39 = 13*t. Let c be (t + -3)\/(-4)*p. Solve 2*u - c = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286 - -354.1. Let u = 68 - c. Let a = -1 - -1. What is the second smallest value in u, -5, a, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 11:59 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, -0.2, 20, -2\/5 in decreasing order.\nAnswer: 20, 0.4, -0.2, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**30\/(t**(-2))**5 assuming t is positive.\nAnswer: t**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53 - ((-32 - 32) + 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2508128? (a) 0 (b) -9 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52906?\nAnswer: 2, 7, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**5 + 6*c**4 + 159*c**2 + 2?\nAnswer: -600*c**2 + 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15261*t - 15354. Calculate k(1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01335612 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27.14532mm?\nAnswer: 0.00002714532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -4) - 2 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16*((-40)\/12)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + -100100000101000000?\nAnswer: -100100000100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111004 - 43280 = -43*l. Is 78 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 180, -0.5, -1\/3, 82 in descending order.\nAnswer: 180, 82, 0.4, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 106*d + 470. Let t(c) = c**2 - 35*c - 157. Let p(u) = -7*t(u) - 2*y(u). Let q be p(-6). Put 28, 1, -5, q in descending order.\nAnswer: 28, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 1599529228.3946.\nAnswer: 1599529228.3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*s + 32, 70 = -3*s + 4*x + 48. Solve -21*m = -24*m + s*y - 9, 0 = 4*m + 3*y + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)\/a)**29 assuming a is positive.\nAnswer: a**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/29574 and -37\/4929.\nAnswer: 29574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(275) - 1*sqrt(275)) + (sqrt(275) + sqrt(275) + -1 - sqrt(275))*-2 + -5)**2.\nAnswer: 80*sqrt(11) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187.3 - 187. Let u(p) = -20*p**2 + 143*p - 17. Let j be u(7). What is the second biggest value in 3, b, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3629, 0, -232 in increasing order.\nAnswer: -3629, -232, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 - 6*f + 2. Let x be s(4). Let u = x + 9. Solve 5 = -4*t - u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:15 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x)**42\/(x**(-2\/13)*x*(x**9*x)\/x*x*x))**(-4) assuming x is positive.\nAnswer: x**(-8120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1453956, 1454034, 1454164, 1454346, 1454580, 1454866?\n\"Answer: 26*k**2 + 1453930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46298.2084 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 3*v**2 + v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1225)*4)\/(sqrt(28)\/(sqrt(8)\/sqrt(2)) - sqrt(847)*2).\nAnswer: 40*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 63*k = 2*r + 4, -5*k - 5*r - 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 - 4*m**2 + 3*m - 159. Let x(y) = -11*y**3 - 9*y**2 + 7*y - 317. Let v(p) = -9*b(p) + 4*x(p). Is v(0) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 82*d**2 + 38*d + 42. Calculate w(-20).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 13*y - 8. Let g(z) = 2*z**2 + 14*z - 9. Let a(f) = 4*g(f) - 5*t(f). Let l(x) = -6*x**2 - 8*x + 3. Let c(d) = -5*a(d) + 6*l(d). Factor c(q).\nAnswer: -(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 77, 90, 123, 182, 273, 402?\n\"Answer: p**3 + p**2 - 11*p + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -90878.97 and 72.\nAnswer: -90806.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4189\/3 + 1373. Sort 3\/4, -1, s, -0.1 in decreasing order.\nAnswer: 3\/4, -0.1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72145.05l?\nAnswer: 72145050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let y(s) = 6*s**2. Let z(i) = -5*f(i) - y(i). Let x(u) = 2*u + 11 - 11*u - 11. Determine x(z(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -11?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + l + 11 = -2, 0 = -3*l - 9. Sort -2, -3, z in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(9*q - 9*q - 12*q)*(-2 - 2 + 2) + (0*q + 2*q - q)*(-2 + 5 - 2) + 0*q + 2*q - q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2366, -3753, -5264, -6899, -8658, -10541?\nAnswer: -12548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068923883.\nAnswer: 3, 83, 4292867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*p + 2*p + 0*p) + (-2*p + 1 - 1)*(-2 - 1 + 2) + 230*p + 399*p + 618*p.\nAnswer: 1245*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1396044 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -10. Let r be (93\/6)\/(1 - 0)*2. Suppose -j*p - p - 3*t + r = 0, t + 3 = p. Solve -h - m - 9 = 0, -2*h + 0*h - p*m = 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -1, -0.1, 2\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245393 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let m(o) = -2*o**2 + f*o**2 + 0*o**2 + 1 - 2*o**3. Let q be m(-1). Which is bigger: q or -2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 194805?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -157*d**3 + 9225*d**2 + 21277*d + 11895 = 0.\nAnswer: -195\/157, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 0.3 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279337465 rounded to the nearest 1000000?\nAnswer: 1279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 125 - 23 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 2, v: 2, p: 4}. Give prob of picking 1 v and 3 p.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {j: 2, e: 1, t: 1, u: 1, m: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -721*w - 30307. Determine g(-43).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2 + a - 2. List the prime factors of w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -17 (b) -3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 7*n + 12. Let b be i(-9). Let h = b - 28. What is o in o**h + 13 + o - 7 - 4 - 2*o**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325569740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888414.\nAnswer: 2, 3, 263, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*u - 22*u - 105 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355828?\nAnswer: 2, 7, 119851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 156, 316, 488, 678, 892, 1136?\n\"Answer: b**3 + 153*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = -0. Let y(t) be the second derivative of t**3\/3 + 2*t**2 + 11*t. Let v be y(7). What is the greatest common divisor of h and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22408 and 479368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 5. Suppose -39 = -4*n + 101. Let t(r) = -10*r - 45. Let h(k) = n*i(k) - 4*t(k). Is h(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(63) - sqrt(63))\/sqrt(9) + -3 + ((sqrt(252)*1 + sqrt(252))*-1 + sqrt(252) + -2*sqrt(252)*6)**2.\nAnswer: sqrt(7) + 42580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 1 a when three letters picked without replacement from {a: 2, n: 7, x: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*t = p - 14, 10 = -5*t. Let n be ((-2)\/4)\/((7\/4)\/7). Let b(f) = -5*f - 8. Let s be b(n). What is the greatest common factor of s and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 8:18 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*l - 11 = -50, l + 7 = -c. Let g = -9 + 16. Let o be (1\/g)\/(c\/14). Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-510)*12\/(24\/6)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/4 + 99*j**3\/4 - 429*j**2\/4 + 225*j\/4 + 189 = 0. What is j?\nAnswer: -1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.2263cm to nanometers.\nAnswer: 7442263000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + ((-611)\/(-96) - (-146)\/219)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 7*u**4 + 8*u**4 + (-u + 3*u + u + (-3 + 5 - 5)*(5 - 5 - 2*u) - 3*u + 5*u + 5*u)*(2*u**3 + u**3 - 4*u**3).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 61 - -23) + (-6 - 3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*u - 5*s, 0 = u + 5*s - 54 - 25. Suppose 0 = 53*o - u*o + 12. Calculate the greatest common divisor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, -121, 33, 302 in increasing order.\nAnswer: -121, -3, -2\/7, 33, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 5. Let n(k) = 4*k + 11. Let d(r) = 2*n(r) - 5*p(r). Let z(o) = -2*o - 4. What is 5*d(y) - 4*z(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 44. Let h(f) = -2*f + 1. Let r(v) = -12*h(v) + i(v). Let c(x) = 45*x + 64. Let l(s) = 3*c(s) - 7*r(s). Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106497294, 106497293, 106497292?\n\"Answer: -g + 106497295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n)\/n*n**(3\/8))\/(n\/n**1)**(-9\/8))**50 assuming n is positive.\nAnswer: n**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22772350.\nAnswer: 2, 5, 17, 73, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**3 + 3*k**3 + 6*k**3)*(1469 + 978 - 179 + 928) as p*k + x*k**2 + q + h*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 48188 and 240944\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d4b + 2?\nAnswer: -1d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 566*y - 14031. What is r(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -8, -5, 97932.\nAnswer: -8, -5, -3, 9, 97932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -0.3. Suppose -1 = a - 0. Let u be a\/(-4) + (-57)\/(-12). What is the nearest to r in 0.1, u, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277382\/75 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 3 - 15. Let k(s) = -12*s**3. Let o(n) = 287*n**3. Calculate c*o(p) + 49*k(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 298\/5. Let p = -43 - a. Calculate the remainder when 49 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 58. Let p be (f - 12)\/(((-6)\/(-33))\/(-2)). Solve -v = -2*u + p, -2*v + 1 - 8 = u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69286 and 4234.\nAnswer: -65052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 15 = 3*t - y, 0 = t + 5*y + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 - r - 1. Let z(x) = x**4 - 43*x**3 + 671*x**2 - 3373*x + 2. Let g(b) = -10*l(b) - 5*z(b). Factor g(h).\nAnswer: -5*h*(h - 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 - 41 = 23*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 5*h**4 + h**4 + (2*h**3 - 3*h**3 - h**3)*(-h + 0 + 0) - 490*h**4 + 372405*h - 372405*h.\nAnswer: -491*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.1 or -109854?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (-484)\/(-22)) + 3 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7250128 is divided by 195949?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(612) - (sqrt(612) + 3))*-2 + 5)*-3)**2.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25840 * 0.8\nAnswer: -20672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 423\/7. Let k = -0.07 + 4.07. Which is the third smallest value? (a) d (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 603, 917, 1239?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4918 + 268029133056?\nAnswer: 268029133055.5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17980 + 3?\nAnswer: -17977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 704455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -110. Solve -3*k - 5*t = -3, -k + c*t - 8 - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404079 - 406455 = 66*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - 3*k**4 + 2*k**4 + (0*k**3 - k**3 + 10*k**3)*(1038*k - 1039*k + 209 + 50).\nAnswer: -8*k**4 + 2331*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.541 - 0.214. Let y = 0.027 - j. Let u = y + 2.3. What is the nearest to -5 in -2, -0.2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 3787 + 1876 + 1874 to the form g + f*l and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 73282370 divided by 23\nAnswer: 3186190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/(-35)*(-1)\/1 + 1. What is the fourth smallest value in 0.3, -3\/8, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*c**5*w - c**4*w - c**2*w + c*w + 76*c wrt c.\nAnswer: 1380*c**3*w - 12*c**2*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25 = 0, -28 = 5*r + 5*c - 23. What is the second derivative of 625*k + 83 + k**4 - 627*k - 74*k**r wrt k?\nAnswer: -876*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22483497?\nAnswer: 3, 29, 113, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 + -651. Let r = 679 + a. Let d = -205 + r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - f)*(-3 + 4 + 0) + (1 - 2 - 11)*(-2 + 2 + 2*f) + 1 - 2*f - 1.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9 - 10 - 1 - 11*y**2 + 4*y**2. Let j = -102 + 94. Let v(p) = 20*p**2 + 5. What is j*d(i) - 3*v(i)?\nAnswer: -4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 757370 and 1750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 2. Let i(h) = 1. Let t(c) = -i(c) - p(c). Suppose 0 = 6*w - w. Let j(d) = -d**2 + d - 1. Let g be j(w). Calculate t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51435?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (-3084)\/234*1. Let w = z - 21524\/195. Is w at least as big as -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67967 - 67967. Let v = 0.1 + 0.8. Let h = 1 - v. Put h, -1, x, -0.5 in ascending order.\nAnswer: -1, -0.5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 975\/301 + -225821\/77056. Calculate the common denominator of w and 137\/60.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2\/(-1))\/1. Suppose b + s - 5 = 0. Suppose -b*c = -3*k + 58 + 83, -2*c - 51 = -k. Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952.09 plus -104?\nAnswer: -3056.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.4 (c) 30 (d) -1.73 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11174456 and 8380842?\nAnswer: 33523368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfs when three letters picked without replacement from wwwnwxxsxwdxswwfdxwx.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/28*((-55)\/66)\/((-2)\/6)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41436 + 1657341\/40. Find the common denominator of k and -119\/310.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -231.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n + 5. Let l be s(2). Suppose -2*g + 3*u = -648, -g + 3*u + 292 = -l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = z + 3*u - 3, 3*z + 2*u - 6 = 0. Suppose -2*w + 5*w = p + 3, -5*p - w + 65 = z. What is the smallest common multiple of 36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42345 is divided by 2484?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 3. Let t be x(-4). Let d(h) = 43*h**3 - 2*h**2 + 1. Does 14 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5052 - 166648\/33. Let x = -30\/11 + t. Let v = 17748 + -124239\/7. Which is the third smallest value? (a) 1 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-4)*(-43)\/(-602)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + 28 + (-69 - 86)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53568 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -3\/8 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192909.\nAnswer: 3, 64303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17600753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308)\/(-385)*2\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*1\/((-20)\/(-56)). Let k = 34 - l. Calculate the greatest common factor of 140 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 6, -3 in increasing order.\nAnswer: -19, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + ((-13)\/(-39) - 167\/(-3))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 16*r + 4. Let g be f(-6). Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 293 + -605. Let n = b + 315. Solve n*l + 4 + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 6*q**4 + 6*q**4 + (-q + 3 - 3)*(-q**3 + 2*q**3 - 3*q**3) + (4 - 4 - q**2)*(-1 + 1 + 2*q**2).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*12\/30.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 3. Calculate the remainder when f(20) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235\/786 + 9\/262. What is the closest to u in 0.3, -2\/35, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = 4*r, 3*x = 9*r - 5*r + 98. What is the remainder when 43 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25875697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/((-60)\/198)*(-1)\/3. Solve -z - 9 = -2*r - 4*x, -3*r - 4*x = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380*-0.35\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3750 divided by -18?\nAnswer: 625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -73*y - 2994. Let n be q(-41). Let p(b) = -4*b**2 - 2*b - 1. Let g(m) = -4*m**2 - m. Let l(z) = -3*g(z) + 2*p(z). Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1305626731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*v + 8264 - 8314 = 0, 5*y = -5*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -961 > -962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 + 20*n - 9. Let b be c(9). Let p(q) = -2*q + 26. What is p(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -30. Suppose -t*p = -4*p + 4. Factor -5\/2*d**p + 0 - 3\/2*d**3 - d.\nAnswer: -d*(d + 1)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0*l + 0*l**3 - l**3 + (238 - 238 - 28*l)*(5*l**2 - l**2 - 5*l**2).\nAnswer: 27*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((v\/v**(-4))\/v)\/v)\/v)\/v**(-8))\/(v\/v**(2\/5)*v)**(6\/13))**(-3\/2))**(3\/34) assuming v is positive.\nAnswer: v**(-2709\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 49 (b) -2\/19 (c) -0.8 (d) 17 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 - -4213331?\nAnswer: 4213233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from dwwttgitwdc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:30 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/2673*-9)\/(6\/(-9))*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-662)\/(-3 + -2 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {q: 2, k: 1, i: 7, j: 1, b: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4702365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8331 is divided by 8265?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -92671.16389 rounded to the nearest one hundred?\nAnswer: -92700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 475\/1710*(-13)\/((-286)\/(-33)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/7)\/(-2))\/(30\/(-140)*13\/39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220.779 centuries in months?\nAnswer: 5064934.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*o + 1488 = -655*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*d**4*z + 15382*d**3*z + 5976*z - 37 with respect to d.\nAnswer: 352*d**3*z + 46146*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 18 = 5*s. Solve s*o - 12*o = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -e121ea?\nAnswer: -e121ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -5*m + 19*j + 60, -5*m = 5*j - 60. Let l(z) = z**3 - 14*z**2 + 23*z + 19. What is l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -569, 4, -3, -1 in decreasing order.\nAnswer: 5, 4, -1, -3, -5, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = 5*u, -5 = 2*m + 3. Suppose -3*x = u + 3. Calculate the common denominator of x\/(-3)*59\/2 and 29\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 8007294475718.\nAnswer: 8007294475717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3931*g**5 + 7*g**4 - 23*g + 159.\nAnswer: -78620*g**3 + 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 7\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cb893 - -1?\nAnswer: cb894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeze when four letters picked without replacement from {y: 1, v: 3, e: 3, z: 1, w: 5, j: 1}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48975907*a**4 + 1426*a**2 + 4380*a?\nAnswer: -1175421768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668\/(-832) + 30 + (-10971)\/368.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.633 - 0.133. Let v = -6 + 9. Suppose -4 = -4*t - 2*m + 4*m, -3*t = m - v. What is the fourth biggest value in 3, t, -5\/3, d?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**4 - 7*w**4 + w**2 - 1 - 6 - 1 + 6 + w in the form t + b*w + n*w**3 + g*w**4 + v*w**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 234.\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26491\/4 or -6623?\nAnswer: -26491\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8303 = -21*r - 2*r. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71510610 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 307*c*m*t + 903*c*m - 141*m**2*t - 108*m**2 wrt t?\nAnswer: 307*c*m - 141*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.47 to 1 decimal place.\nAnswer: 177.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/7393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/385)\/2 - 60\/70.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011111100 + -11111?\nAnswer: 100000011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + 3?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152335 by -1745.\nAnswer: 30467\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.18125 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 143*d - 94. What is the tens digit of b(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6846437 divided by -38.\nAnswer: 6846437\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/206, 5, 1, 0, 4\/3, 4, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/7 + -19\/7. Let w = 0.1 - 0.6. Sort -2\/3, w, n in decreasing order.\nAnswer: n, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 3) + 7 + -1. Suppose m + m - k = 0. Let j(y) = 3*y**2 - 5*y**2 - m*y**2 + y**2. Let n(u) = -2*u**2. What is n(j(r))?\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 171*i**3 + 2*i + 3 + 172*i**3 + 4*i**2. Let g be x(0). Calculate the highest common divisor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*t - 2312 = -1495*t - 122 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 33 - 5. Suppose 3*z = s - c, 3*z + 34 = 5*s - 0*z. Differentiate -3*x**3 + s*x**3 - 2 + 1 - 6 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19893 divided by -19.\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/15 - 7*z**4\/24 - z**3\/2 + z**2. Let m(u) = -u**2 + u. Let l(t) = -c(t) - 5*m(t). What is the units digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y*y*y*y*y\/(y*y*y**(-4)\/y*y)))\/y*y)\/y*y*y\/y**(2\/23))\/(y**(4\/3)*y*(y*y\/(y*y*y**(-8)*y))\/y*y))**(-6\/31) assuming y is positive.\nAnswer: y**(1852\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2078*a**6 - 237*a**2 - 3*a wrt a?\nAnswer: 249360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0 - 1\/2*v**3 - 1\/2*v**2 + 2*v + 1\/12*v**4. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.62 and 0.50475.\nAnswer: -0.817695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/15)\/((-108)\/(-675))*2\/26.\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1062, -1248, -1432, -1614, -1794?\n\"Answer: p**2 - 189*p - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + -4 + (4 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 5*g + 1. Determine d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-8 - (5 + -1) - 7) - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 57*u - 1816. Give g(29).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-5)*370\/(-4). Suppose -4*x - 2*h = p, 2*x - 5*h - 4 = -23. Suppose 84 = -12*q - 132. Is x smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -56\/1813471?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -2.94. Let g = 191\/5 + -38. Let t = -65 + 69. Which is the nearest to -1? (a) p (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 301.886.\nAnswer: 301.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = g - 2*u, 0*g + u - 5 = -3*g. Let c be (-1 + 0)\/(g + -1). List the prime factors of 8 - (-5 - -3)*c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81 - 1)*(3 + -4). Calculate the common denominator of l\/(-40)*2 + -2 and -21\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1308.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/39)\/((-5)\/(-15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/((-34000)\/(-150)))\/(7\/(7\/2))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/31, 4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 35 - 8 + 25)*(-p**2 + 2*p**2 - 3*p**2) to b*p + v + d*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362759*j - 362857*j = 7448 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*h**5 + 3320*h**4 + 3*h**2 + 5822363*h?\nAnswer: -760*h**3 + 39840*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 51. Let u be (y - -6)*2\/(-2). Suppose j - 81 = -4*z, 3*j + u + 40 = 2*z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1115, -1964, -2815, -3674, -4547, -5440, -6359, -7310?\n\"Answer: -o**3 + 5*o**2 - 857*o - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -284*q - 674. Determine s(-3).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*h + 131 + 139. Let k(w) = -w**3 - 6*w**2 + 5*w - 14. Let c be k(-7). Solve -o = 2*g + 2, c = -3*o + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 3 + 11*i + 2*i**2 - 8*i)*(0*i - 4*i - i) in the form z*i + v*i**2 + u*i**3 + o and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14664714 - -14664854.99919. Let w = 13.1 - -127.9. Let l = v - w. What is l rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 7. Let i be t(-3). Let a = 166 + -167. What is the closest to a in 1\/4, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbuhkzz. Give prob of picking 1 z, 1 k, and 1 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117184467 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 97 = 2*q, -3*g + 2*g = 5*q - 268. What is the greatest common divisor of q and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -46, -75, -106, -133, -150?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 70 = 9*g. What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133657 is divided by 2894.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-36) + (-2)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/17)*b**2\/b assuming b is positive.\nAnswer: b**(11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 79 + 17. What is the smallest common multiple of (-18)\/(765\/(-68) - -9) and t?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:24 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2 + 97784*c - 13273740 = 0. Calculate c.\nAnswer: -24581, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013093 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8928 - 813 = 5*h, 2*h - l - 3249 = 0. Let r = -820 + h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 4*s = 11, -3*m + 23 = -5*s. Let x be 6\/((-2)\/(-4) + m). Let w be (-2)\/x - (-22)\/60. What is the second smallest value in 3\/7, -1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 22 (c) 0.3 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-10))\/((-12)\/(-290)) + 2. Let y = n - 93\/4. Find the common denominator of y and -125\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000707338 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*q - 3189*q - 1857*q = -151536 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43149413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 - 36*y - 197. Determine k(-8).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15000 divided by -375\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 983148.4l in millilitres?\nAnswer: 983148400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1543 = 7*p - 522. Let f be p\/15 + -11 + (-2)\/(-6). Which is the second biggest value? (a) -0.3 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 3*c - 3*j, 4*c - 15*j + 10*j = 780. Calculate the greatest common factor of 150 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(14\/(-6) + 3))\/(-1). Sort 0, 2, s, -3 in descending order.\nAnswer: s, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 63. Calculate m(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 22 - 73 + 1231. Calculate the remainder when g is divided by 135.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1940*t**3 - 39*t + 17 wrt t?\nAnswer: 11640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 9 + 9. Let j(x) = 7*x. What is y(j(b))?\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6*q\/q**(-1\/7)*(q**1)**24 assuming q is positive.\nAnswer: q**(218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3129d4 (base 15) to base 7\nAnswer: 25604344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 21, -4*g + 20*m = 17*m - 79239. What are the prime factors of g?\nAnswer: 3, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -29*w + 2678. Calculate the remainder when a(-30) is divided by 254.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21923.\nAnswer: 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -107*i - 378. What are the prime factors of a(-49)?\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228) + sqrt(228) + 1*sqrt(228)*-3)\/((sqrt(96)*1)\/sqrt(8)))**2 + (-2*sqrt(114)*6)\/(sqrt(96) - (sqrt(96) + -2*sqrt(96))).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1756093*i**2*q - 3203009*i**2 + q wrt q.\nAnswer: -1756093*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.602 + 0.111. Let p = z + 0.991. Which is the closest to 0? (a) 4 (b) p (c) -7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**8\/420 - o**7\/105 + o**6\/30 - 4*o**3\/3 + 23*o. Let k(d) be the second derivative of y(d). Factor k(g).\nAnswer: -4*g**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f = 76*f - 43*f + 97 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cww when three letters picked without replacement from wwcw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -4, -229, 12, -24, 19 in decreasing order.\nAnswer: 19, 12, 5, -2, -4, -24, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 6}. Give prob of sequence qr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96550*y**3 + 110183 wrt y?\nAnswer: -289650*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 3986 = -49*a + 5330 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 51. Let h = s + 22.0000038. What is h rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*y + 2 = 23, 4*g - 26 = 3*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i + i)*(-2*i**3 - i + i) + (0*i**3 + 11*i**3 - 2*i**3)*(5*i - i - 5*i) - i**2 + i**2 + 5*i**4 - 7*i + 9*i + i - 3*i**4 - 1.\nAnswer: -11*i**4 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16619.\nAnswer: 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641 divided by 1833?\nAnswer: -2641\/1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -125. Which is greater: -0.5 or y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o + 65 = 38*o - p, -39 = -3*o - 3*p. Suppose -30*d = -o*d - 68. Let 19*z**2 + 1\/2*z**5 + d + 14*z + 4*z**4 + 25\/2*z**3 = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1 (c) 1\/2 (d) -5 (e) 110\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/300 - 17*t**5\/75 + 23*t**4\/4 - 60*t**3 + 274*t**2. Find z such that m(z) = 0.\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 19834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, 13\/361, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.7688ng in grams?\nAnswer: 0.0000005367688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Let t(b) = 12*b**2 - 337*b. What is t(o(r))?\nAnswer: 108*r**2 + 1011*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.996 - 0.004. Let s = n - -33.9. What is the nearest to -1 in s, 0.5, -0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 381044.48268?\nAnswer: -381045.08268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 11*u**2 + u + 8. Let d be h(6). Let i = d + 25. Solve z + 2*z = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/55 - -2) + 0 + -3. Suppose 4*p + 182 = -10*p. Put p, s, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2752)\/258 - -9)\/(3 + 183\/(-36))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1500 and -0.5.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6193 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 16 - 23. What is the units digit of (-67)\/i + (-10)\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/2)*f**(-1)*f**6\/(f\/(f*f*f**(-3)*f)) assuming f is positive.\nAnswer: f**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*k - k - 70, -k + 10 = s. Let m = -3 + s. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892, -5720, -8450, -11034, -13424, -15572, -17430, -18950?\nAnswer: -20084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvsvvvvvvrvvrr. Give prob of picking 1 s and 2 r.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (5 - 9) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 165*g. Let s(i) be the first derivative of -9*i**2\/2 - 3437. Calculate s(w(z)).\nAnswer: -1485*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2*v + 3*v)*(-38 + 58 + 22).\nAnswer: 42*v - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and -1304362?\nAnswer: -365221.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488 and 4514.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6701, 2 in decreasing order.\nAnswer: 2, -9, -6701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y - 3*y + 89 + 143 - 28*y + 79. Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 641?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 0\/(1 + 0). Suppose 12 + 7 = -5*g - 4*k, 0 = -5*g - 3*k - 18. Are g and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + f - 34 = 0, -75*l + 73*l = -0*f - f + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0203 and 0.48?\nAnswer: 0.5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 31 + 9. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.231 - -54.569. Let w = -55.2 + v. Which is the fourth biggest value? (a) -1\/8 (b) 2.1 (c) w (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let c be r(-2). Suppose -c*k = -0*k + 2. Is k greater than or equal to 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 0, -4*j - 19 + 3 = 7*h - 5*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 41 - 41 - 54 - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1129 (base 11) to base 9.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m, 1436 = 2*y + 5*m - 7*m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y + 6898*y**2 - 2*y**4 - 13795*y**2 - 4 + 6908*y**2 + 148 - 3*y wrt y.\nAnswer: -24*y**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + a + 3. Calculate the remainder when c(8) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5012982 divided by 1.\nAnswer: -5012982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 58*k + 570. Determine d(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8958 + -8110. Calculate the smallest common multiple of 48 and k.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -25. Suppose -m + 28 - y = 0. Let l(f) = -42*f + 1. Calculate the remainder when l(-3) is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -158.513 (b) -3 (c) 0.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 420*x + 47883. What is n(-114)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8814460073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/60 + 113*f**3\/6 + 150*f**2. Let t(j) be the first derivative of n(j). Let z(o) = -18*o. Calculate t(z(s)).\nAnswer: 1944*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -4\/9, 7012 in descending order.\nAnswer: 7012, -0.04, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/5, 4, -1, 2\/3, -6, 360 in descending order.\nAnswer: 360, 4, 2\/3, -1, -6, -44\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - -21 - (-167 + 163)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - u**5)*(-1 + 1 - 3 + (2 + 0 + 1)*(6 + 5 - 6)).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4061?\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(20\/3))\/((792\/(-20))\/33).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40362 - -58746. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9299 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:16 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000138307 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593930 is divided by 1748?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/19 + (-1900120)\/67355?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72679 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vtrvwvwqvv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.195 + -0.056. Let b = -1.139 + x. What is the fourth biggest value in b, 11, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11030 + 10321?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-40) + 4\/5. Let a be 9\/(-8 - y) + (0 - -1). Solve a = -s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -30*u**3 + 34*u**2 - 4*u = 0?\nAnswer: 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/3)\/12)\/(7\/168)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**5 - 3*i**4 + 14*i**3 + 3*i**2 - 37*i - 5. Let b(o) = o**5 + o**4 - 8*o**3 - 2*o**2 + 18*o + 2. Let y(h) = -5*b(h) - 2*g(h). Factor y(p).\nAnswer: -p*(p - 4)*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*k + k - 8 = 0, -2*d = -3*k - 14. Suppose x + d = 23. Let n(b) = -6*b**2 + 16*b. Let t(s) = -3*s + s - s + s**2. What is x*t(p) + 4*n(p)?\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 531365479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 52*v - 63. Determine a(26).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-8)\/h)\/h)\/h**(-6)*(h**0)**(-5\/14))\/((h**3*h**(-7))\/((h*h\/h**(-4))\/h*h\/(h**(-1\/6)\/h*h))) assuming h is positive.\nAnswer: h**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g - 29. Let n be u(-4). Let f = -0.52 + -3.48. What is the second smallest value in n, f, 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + g**2)*(-g - 2*g + 12*g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084*298.\nAnswer: 25.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 151 from 1.2.\nAnswer: -149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.92 + -13. Let y = w - 0.42. Let q = y - -0.9. Which is the third smallest value? (a) q (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -998, -995, -988, -977, -962, -943, -920?\n\"Answer: 2*r**2 - 3*r - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, 0.012.\nAnswer: -53, -2, 0.012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 179314 rounded to the nearest 1000?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*m*q*r + 2*c**3*m*q - 7*c**3*q**2*r**2 - 2*c*m*q**2 - c*r**3 + 15*m*q*r**3 + 3*q**2*r**3 wrt q.\nAnswer: -14*c**3*r**2 - 4*c*m + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.08121 kilograms in micrograms?\nAnswer: 46081210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3539562 - -10931112. Let h = k + -7391589.0000064. Let o = 39 + h. What is o rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40875281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22077.8182 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.78202 * 0.2.\nAnswer: -6.956404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0069 * 0.1\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19525 + -2631.75.\nAnswer: -2631.94525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) - 230\/(-55). Let z(v) be the first derivative of -v**3 - 9*v**2 + 4*v + 24. Let o be z(-6). Is t at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5199 and 1062.\nAnswer: 1840446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -962*m**2 - 232*m**2 + 324*m**2 + m**3 - 1799*m**6 - m**3 wrt m.\nAnswer: -215880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9. Let z(w) = -43*w - 18. Let c(p) = -2*i(p) + z(p). Let m(j) = -20*j. Calculate c(m(a)).\nAnswer: 860*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 27*a - 116. Let d be k(17). Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*i + 202*i - 8804 - 284 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 16, -3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:14 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -183855.076?\nAnswer: -183854.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 30. Let u = 502 + -138. Suppose -3*x - u = -y*x. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 - t - 9. Let p(a) = 4*a**3 - a - 4. What is 5*p(s) - 2*u(s)?\nAnswer: 2*s**3 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-48)\/(-28) + -2). Let y = 10 + v. Is y not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380 by 2.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2\/(-4))\/(1\/2)). Let r(s) = s**3 + 1. Let k(m) = -3*m**3 - 7. Give h*k(f) + 5*r(f).\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 11 = 3*j. Suppose -j*t = 14*t. Solve t = -3*h - 0*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 64 + 24 + n**3 + 18.\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 6*t - t + t**3 + 6 - 2*t**3. Let h be y(6). Solve -3*i = 4*o, 4*i - o - 2*o = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + l**2 - l - 2. Let c(k) = -k**2 - 7*k - 2. Let g(y) = y**3 - 9*y**2 - 7. Let h be g(9). Let m be c(h). Give z(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -29.0495056\nAnswer: -8.71485168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.87 - -0.87. What is the second smallest value in -0.1, 0.8, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossaoaoooosooao. Give prob of sequence ao.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5.2. Is c >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48399.3 nanograms?\nAnswer: 0.0000000483993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 2800.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -8. Suppose 255 = -2*g + v*g. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 2*d**4 + d**3 - 2*d**4 - 3*d**3 + 3*d**3 + (-2*d**3 + d**3 + 2*d**3)*(1 - 1 - 2*d) - 4*d**4 + 0*d + 0*d.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {s: 6, n: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 180\/(-42) + (-2)\/(-7). Let s(h) = -655*h**3 + 5*h**2. Let l be s(k). Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, v: 1, h: 2}. What is prob of picking 3 l and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880558?\nAnswer: 2, 940279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -22. Let w(t) be the second derivative of -t**4\/12 + 2*t**3\/3 - 2*t**2 - 5*t. Determine w(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z + 93. Let k(u) = u. What is n(k(r))?\nAnswer: 10*r + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*d**2 - 17765*d**2 - 5434*d**2 - 16293*d**2 - 6163*d**2.\nAnswer: -45018*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 3) to base 14.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-270)*1\/(-4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 626197 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 8*i**2 - 3*i - 8. Suppose 3*o + 5*d + 44 = 0, -2*o + 0*o - d = 20. Is g(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -5\/3, 0, 419, -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-323645)\/(-78890) - (18\/5 - (-4)\/10) and -51\/1472?\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(1 + sqrt(99))*4)**2 - (2*2*sqrt(132) + sqrt(132))\/(6*sqrt(60)\/sqrt(5)).\nAnswer: 57595*sqrt(11)\/6 + 160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*m - 118 + 1609*m - 805*m + 20.\nAnswer: m - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wffpfwhfnffhwhnfff. What is prob of picking 1 f, 1 h, and 1 n?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 71*k**3\/2 - 255*k - 2. Let l(i) = -14*i. What is c(l(g))?\nAnswer: -2982*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 640.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 1 (c) 3\/7 (d) -24 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7698821+-1954\nAnswer: 7696867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 8, w: 3, m: 2}. Give prob of sequence oo.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(72)*-4)**2 + 4 + -2 + sqrt(2) + 5.\nAnswer: sqrt(2) + 10375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - -3) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h**2 + 8*h - 2. Let c(k) = 11*k**2 - 9*k + 3. Let o(n) = 2*c(n) + 3*i(n). What is the second derivative of o(j) wrt j?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-3) + 4\/6. Let j = -110187\/9022 - 233\/347. Let b = -168\/13 - j. Is b > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**4\/15 + 238*b**3\/5 + 6534*b**2\/5 + 154616*b\/15 + 2496 = 0.\nAnswer: -40, -36, -13, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -9)\/((-6)\/(-1215)*18)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 42*t + 25, -4*t = -3*u - 16. Let j = 0.04 + -0.02. Which is the second biggest value? (a) -3\/5 (b) j (c) u (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 473430 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83117\/11326 - 15\/809. Let o = -2\/5267 - -331841\/52670. Calculate the common denominator of s and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*h - 127*h - 66 = -283*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-69)\/(-15) - 136\/(-340). Solve 4*m + 29 = 3*n, 0*m - 10 = 5*m + o*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 63*v - 10. Let z(d) = 3*d**2 - 65*d - 8. What is -5*k(q) + 6*z(q)?\nAnswer: -2*q**2 - 75*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = 2*r. Let l(s) = -s + 3. Let j(y) = 3. Suppose 0*t = 2*t - 4*p - 2, -4*t - 4*p = 20. Let q(x) = t*j(x) + 2*l(x). Give q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 6 = 0. Let d be (0 + 2)\/g - 6. What is the units digit of 0 - -43 - (2 + d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111010 - 100101?\nAnswer: -1001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/11 - 620*i\/11 = 0.\nAnswer: -310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 6*w - 12. Let d be 87\/27 + 4\/(-18). Let c(m) = -5*m**2 - 6*m - 13. Let l(q) = d*c(q) - 4*k(q). Factor l(p).\nAnswer: (p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z + 7. Let i be 270\/(-40) - (-3)\/(-11 - 1). Let x(b) = -10*b + 5. Calculate i*x(p) + 5*t(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7761168 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h + 12. Let u(t) = t**2. Determine f(u(v)).\nAnswer: 13*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -28*k - 1. Let m be -1*(0 - 4\/(-2)). Let c be d(m). Suppose 3*y - c = 47. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400144 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36591.\nAnswer: 3, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/7 - 27864*n\/7 - 111408\/7 = 0 for n.\nAnswer: -9284, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -3, -1\/3, -3\/1256?\nAnswer: -3\/1256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8806794, 8806781, 8806768, 8806755?\n\"Answer: -13*d + 8806807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 13. Let o(y) be the second derivative of y**3\/3 - 3*y**2\/2 - 4*y. What is -2*l(s) + 9*o(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 - 4*z - 5. Let n = 9 - 12. Let o(h) = -22*h**2 + 16*h + 12. Let i(v) = 7*v**2 - 5*v - 4. Let y(w) = -7*i(w) - 2*o(w). What is n*d(t) - 4*y(t)?\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 438 divided by 146\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-42))\/((-6)\/21))\/(42\/16).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1}. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*6\/(-18)*1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 7)*(192 - 192 - 11*q) + (1 + q - 1)*(0 - 1 + 3) + q + q + q as m + f*q and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1, 218?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*w - 977 + 17 = -102 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 + 28\/5. Suppose -t*z = -3*z. Suppose z = -n - 3*n + 16. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 465.2734 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -79. Let w be (0 - 2\/(-13))\/(-1). Which is the nearest to -1? (a) l (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 678 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u - 50*u + 89*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 - -156. Which is smaller: v or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 17145404?\nAnswer: 34290808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3366 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 2*x**3 + x**3 - 7*x - 38*x - 13*x.\nAnswer: -2*x**3 - 58*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/14*-6 + 52 + -54.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)**(-50))**7 assuming z is positive.\nAnswer: z**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9812 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3511 times 3?\nAnswer: -1.0533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*z - 28, 0 = 3*t - 5*t + 2*z - 4. Suppose 14 + t = -4*u. List the prime factors of (18 + u)*(1 - 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 440*h**2 - 288643*h\/2 + 492 = 0.\nAnswer: 3\/880, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2204162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + f - 165 = 7*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/(-324))\/(60\/(-9))*(-25)\/8?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 98. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -2, -7, -14, -23, -34?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0815287 and -9078.2.\nAnswer: -9078.1184713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 628\/(-1154)*29721\/(-2). Let c = -8087 + y. Let r = -1180\/7501 - c. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 411 + 544 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1036 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 791*v**4 - 19805*v**3 + 103104017*v**2?\nAnswer: 18984*v - 118830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.716075 to three dps.\nAnswer: -0.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y**3 + 3*y**2 - 2*y + 7. Does 18 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((-1 + sqrt(147))*3 + sqrt(147) - ((sqrt(147) + -1*sqrt(147) + sqrt(147))**2 + sqrt(147) + sqrt(147))*-6).\nAnswer: 1344*sqrt(3) + 10548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 4*b + 3. Suppose -19*p = -7*p - 192. What is the remainder when m(-3) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*d**2 - 2*d**2 - 3*d**2)*(52*d + 78 - 78).\nAnswer: 312*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33877144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5468239709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12159105 to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let g be c(0). Let l = -1 - 3. Suppose 0 = -3*u + 5*r - 3 + 32, 2*r = -8. Sort g, u, l in descending order.\nAnswer: u, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + -0.11. Let z be 2\/5 - (-60)\/225. Which is the nearest to 0.1? (a) 3\/5 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692694386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 = 7. Let n be 3*30\/2 + t. What is the lowest common multiple of 10 and (112\/n)\/((-2)\/(-12))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 50*n**2 + 50*n + 52. Let w be y(-49). Suppose 4*p = 4, 5*s + w*p = -133 + 1971. Does 60 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239.15 + -233. Let j = x - 0.15. Let l = -4 + j. What is the nearest to l in 2\/9, 4, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288633?\nAnswer: 3, 96211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100678 - -0.9.\nAnswer: 100678.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, u: 5, l: 1}. What is prob of sequence du?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -957. Calculate the remainder when a is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7 + 8 - g**2 - 7*g - 4*g - 7. Let d be m(-11). Suppose 0 = 4*i - 40 - d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 761971\/36 - 21168. Calculate the common denominator of -65\/12 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 16*o + 9. Let w be (1\/3)\/1 + (-744)\/(-36). Let p be n(w). Let s = p - -152. What is the remainder when s is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v. Let m(l) = 3291153*l. What is m(g(h))?\nAnswer: 6582306*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5280)\/1232)\/(5\/245*3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.444 + -51897.\nAnswer: -51883.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**2 - 1 + 1 - 2 + w**3. What is the second derivative of s(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(108))\/(sqrt(16)*-2) - ((-2*sqrt(252))\/sqrt(12))\/(sqrt(112)*3)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 1. Let h be x(-2). Suppose -5*o + h*g = -12, -g = o + o - 7. What is the third derivative of -4*l**o + 4*l**2 + 2*l**3 - 2*l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -0.15.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/4 - w**3\/3 - 5*w**2\/2 - 10*w - 9. Suppose -4*y + 2*t + 3 + 17 = 0, -4*y + 36 = 2*t. Is g(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 249524234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 - 4 - 252*w**2 + 125*w**2 + 10*w**3 + 143*w**2 - w.\nAnswer: 26*w**3 + 16*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.2 (c) -0.14 (d) -0.7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/24*1152\/21216?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 28576*j + 1196664.\nAnswer: 2*(j + 42)*(j + 14246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -31 + -1 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -156*t**3 - t**2 + 2. What is the remainder when 615 is divided by m(-1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 + 385. Let y be (4\/5)\/(5\/s). Let n be -10*(6\/(-4))\/1. Solve y*m = -m - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y = 2*i + 36, 3*y = -4*i - 57. Let h = 47 + i. Factor -h*p + 20*p**2 - 57*p**3 - 50 + 31*p**3 + 31*p**3.\nAnswer: 5*(p - 2)*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012859 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times -0.25297?\nAnswer: -0.00303564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) - sqrt(20)\/sqrt(90).\nAnswer: 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71625706 to the power of 1\/2, to the nearest integer?\nAnswer: 8463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412631 (base 9) in base 7?\nAnswer: -6411613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 7*o**3\/6 + 3*o**2 - 17*o. Let g be m(3). Factor 2*v**2 - 99*v - 17*v**3 + g + 8*v**3 + 39*v**2 + 16*v**2.\nAnswer: -3*(v - 3)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4759061 and 2876.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -201, -465, -835, -1311?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 228559188 to the power of 1\/2, to the nearest integer?\nAnswer: 15118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a factor of 514785126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 11840.\nAnswer: 11836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1976 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 56*r**2 + 573*r + 84. What is f(-9)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*o - 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 6:05 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-36)\/(-15) - (-2)\/10. What is the nearest to 2\/3 in c, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 4476*n - 4473*n + 5*n**3 - 3*n**4 in the form b + t*n**2 + v*n + u*n**4 + s*n**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m**3 + 115*m**2 + 10*m + 43. Let n be x(-6). Solve -53 = 4*u + 5*i - 55, 3*u - 5*i - n = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -5*i. Let q = 14 + i. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, 0*w + 504 = 4*w + 4*r. Suppose 0 = 2*s + y - 133 - w, -5*y = 0. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose 4*h = 3*j + m - 3, h - 3*j = -11. Solve q + 6 = 4*u + 20, -16 = h*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1448 + -1206. What is the remainder when b is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2 + 6*r + 14. Let c be u(7). Let t = 3 - 1. Let j(w) = -w**2 - 4*w**2 - 3*w**t + c*w**2. Let p(x) = x**2. What is p(j(m))?\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 414871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 616 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 378654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 - -200.999998786. Round t to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i - 3. Let v(d) = 2*d**2 - 2*d - 5. Let f(s) = -10*m(s) + 6*v(s). Let j be f(9). Calculate the greatest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - 2.9. Let x = 1 + r. Let k = 1 + x. What is the nearest to -0.1 in k, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + y + 17, 8*g = 3*g + 2*y + 91. Let a(s) = -s - 9. Let p be a(-7). Calculate the remainder when g is divided by p\/3 - 69\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117) + sqrt(65)\/sqrt(45) + (sqrt(1573) + sqrt(1573)*2 + sqrt(1573))*-2)**2 + -1*5*((sqrt(1053) + 2*sqrt(1053))*-1)**2.\nAnswer: -1016*sqrt(13)\/3 + 412279\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -9468, 1, 55, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 246398*w + 246397*w + 32 - 19.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 15*t**2 - 14*t - 162. Is y(-18) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 56. Suppose c*q - 283 - 128 = 0. What are the prime factors of q?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = w + q, -3*w + 28 = 5*q. Let u be (-1 - w\/(-9))*-12. Find the second derivative of -u*y - 2*y + 7*y**2 + 9*y**2 - 5*y**2 wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -358, -355, -352?\n\"Answer: 3*r - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*o - 35*o**3 + o**3 - 204*o.\nAnswer: -34*o**3 + 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 527*y**2. Let a(g) = 100*g. What is c(a(t))?\nAnswer: 5270000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 174, 21, -396, -1209, -2550, -4551?\n\"Answer: -22*k**3 + k + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27303, 54617, 81921, 109221, 136523?\n\"Answer: k**3 - 11*k**2 + 27340*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulul. Give prob of sequence lu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = t - 31, -3*t + 33 = -5*p. Let c = 9 + p. Solve 2 = q - 3, c*r - 17 = -4*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoov when four letters picked without replacement from vdvpppdpoopopyeyyoyp.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/12 - 1425*f. Let q(n) = 2*n**2 + n + 1201. Calculate q(v(o)).\nAnswer: 2*o**4 - o**2 + 1201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16 = p + 3*p, 4*i + 5*p = -32. Let x be (-24)\/16*i\/6. Solve -3*c - 15 = x*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b + 27 - 19*b - 30*b + 2*b**3 - 283.\nAnswer: 2*b**3 - 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32641, 130532, 293683, 522094, 815765?\nAnswer: 1174696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 - 20*h - 21. Let l(w) = -w**2 + w. Suppose c + 4*p - 14 = -8, 3*p - 14 = 4*c. Let o(i) = c*l(i) - n(i). What is m in o(m) = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 15*r + 6*r in the form x*r + s and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81\/47 + -20134\/235. Let n = 87 + z. Put n, -14, -0.5 in descending order.\nAnswer: n, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 2*r + 3. Let s be k(-5). Solve 3 = -5*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -24. Let t(r) = -r**3 + 7*r**2 - 6. Let a be t(6). Let v = h + a. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87652 + 175286 + 15*r - 87644.\nAnswer: 15*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 - 0?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1)**2 + -5 + sqrt(7)*-2*-3*-1.\nAnswer: 8*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*q + i, -2*i = -3*q + 3 + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:29 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139226\/5669 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 73*c**5\/12 - c**4\/24 - c**3\/6 - 4*c**2 + 11. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:56 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -726.3 - -726. What is the biggest value in -1\/5, q, -10\/33, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 6*w - 3. Let c be b(5). Let s be 1 - (-1*2)\/c. Suppose -x - 3 = -2*r - 1, -2*x = -s*r. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r. Let i(p) = -9*p. Let o(w) = 11*w + 6*w - 19*w. Let z(u) = -6*i(u) + 26*o(u). Give l(z(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137109 is divided by 286?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-75) + (-1151)\/(-300). Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13345652 is divided by 335?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -23859000 to the nearest 100000.\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 0*p + 167*p**2 - 13 - 163*p**2 + (p - 2*p + 2*p)*(2*p - 6 + 6) in the form q*p + z*p**2 + c and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 take away -1.07?\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -4\/5, -5, -243, -3, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from kwpfkwpwpwpkpp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -81, -0.5, 3, 113, 4, 380, -5?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1807805\/36 + 50213. What is the common denominator of f and -33\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031132 (base 6) in base 16?\nAnswer: -23300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -139. Suppose 1385 + 212 = 5*h + r, -2*h - 3*r + 644 = n. Let y = -59 + 88. Calculate the highest common divisor of h and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = y - 2, -2*r + 5 = -4*y + 13. Solve -y*w + 6 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(1\/19)\/((k**(2\/3)\/k)\/k*k*k*k**(-6\/11)) assuming k is positive.\nAnswer: k**(-175\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1249 >= -1249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*x - 6 + 16 = 0, x = -5*v - 9. Let c be ((-2)\/8)\/(12\/(-16)). What is the nearest to c in -1\/6, v, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289935 and 540.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*w**3 - 152*w**2 - 272*w - 160.\nAnswer: -4*(w + 2)**2*(7*w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*u - 12*u - 482 + 17999*u**2 + 482 + 23*u)*(-3 + 3 - u) in the form g*u**3 + q*u**2 + d*u + a and give g.\nAnswer: -17999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -54. Let m(r) = 11*r**2 - r + 3*r - d*r. Let k(j) = -2*j**2. Calculate m(k(z)).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/3)\/(-4)*3\/(-528)*-16.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83416524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -56615*a - 679288. Determine j(-12).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.9962 - 28. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6221*n + 6219*n + 6206*n - 24631*n + 5984*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 3*r. Let k be i(2). Let v = 3395 + -1210. Suppose -x = -k*x + v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 86 - (-11)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 22*p - 96640 = -35*p. Calculate the remainder when p is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1751*o**3 + 2205 wrt o?\nAnswer: 5253*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100100 + 321212322?\nAnswer: 321112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (32\/(-28))\/(36\/(-336))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*v**2 - 1)*(-4*v**2 - v**2 + 3*v**2) + (-4*v + 7*v - 4*v)*(-13*v**3 + 59*v**3 - 23*v**3).\nAnswer: -29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580108 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 106*p + 107 - 326 + 112.\nAnswer: -106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-21390)\/1860.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(200) + -2*sqrt(200) + sqrt(200) + sqrt(200)))**2 + -3.\nAnswer: -287\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1218*c + 2*c**2 + 1223*c + 39 + 3*c**3 + 0*c**3 to the form f*c + i*c**3 + z + g*c**2 and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c. Let b = -32 + 37. Solve 5*t + 20 - b = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2032, 2031, 2030, 2029, 2028?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.42 + 31.52. Let r = 28.10000147 - n. What is r rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7052 is divided by 164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:30 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.0732 years in decades?\nAnswer: 42.40732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 12*z = -2640. Suppose 0 = -63*o + 66*o - z. Suppose 0 = 3*y - 9, 1186 + o = 5*q - 3*y. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-782622)\/1782 + 439 - 1*(-1448)\/(-22)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836429643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0 + -2)*(0 - (19 + -17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 65 = 3*u. What is the remainder when 38 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from qqabqqqsqmqambsbq?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 4)*(-2 - 2 + 6 + 0 + 0 - 2 + (-3 + 6 - 2)*(-1 + 6 - 3) - 1 - 1 + 4 + 1 + 2 - 1) + 3 - 5 + 3)*(-27*x + 18*x - 25*x).\nAnswer: 578*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2972.53886 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 399353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114378 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*f + 1060. Suppose 87*t - 31*t = -280. Let y be (f\/t + 4)\/(1\/(-250)). What is y rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, b: 2, j: 4, p: 2}. What is prob of picking 1 w and 1 b?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {o: 6, j: 2, f: 1, b: 3, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12586038, -12586041, -12586046, -12586053?\n\"Answer: -h**2 - 12586037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*t + 5*t. Let b(w) = -w**2 + 76*w + 1389. Let k be b(91). Solve -2*v = x + v - t, -2*x = -4*v + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6529 + 130697\/20. Calculate the common denominator of -29\/206 and i.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121 (base 15) to base 8.\nAnswer: -24215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84108.3 and -3.\nAnswer: 252324.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -f + 32, -21282*f = -5*h - 21286*f - 76 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + 14. Let b = -24 + v. Let q = b + -20.9. Put -4, -2\/5, q in decreasing order.\nAnswer: q, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-33)*1*-2. Let x = -8 + 9. Suppose 0 = 3*a - x - 2. Which is bigger: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11118*a**2 - 981. Let u(l) = 10*l**2 + 1. What is 981*u(v) + w(v)?\nAnswer: -1308*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(-6*(-4)\/(-6592)). Let t = 443 + u. Calculate the remainder when 182 is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 1206 = 11*f. Let q = f - -530. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -134, -141, -152, -167, -186, -209, -236?\n\"Answer: -2*u**2 - u - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8. Let t be p(0). Suppose -74 = -5*n + 2*v, n - 4*v - 7 = -v. Let u = t + n. What is the greatest common divisor of u and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21043 (base 5) in base 16?\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055.149112 rounded to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3263 + -2215. Let q be ((-24)\/16)\/(2\/i). Calculate the remainder when (-2)\/5 + q\/(-15) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -3)*1 + (-3460)\/910. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/3 + 5962*b + 26659083 = 0. What is b?\nAnswer: -8943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 393 = 159. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419 - 154 - 99 - 166 - 13*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8962110 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4769574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510913\/24 + -61562\/3. Is q at least as big as 766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101415*d**6 + 18891*d**2 wrt d?\nAnswer: -12169800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + n**2 + 2*n + 1. Suppose -p + 144 = 3*s, 4*s + p + 2*p = 192. Let q = -32 + s. Suppose 3*m = -q + 13. Calculate o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 10*i**2 - 14*i - 21. Let z be 8\/2 - 2*(-8 + 6). Let q be n(z). Let h(m) = m**3 + 7*m**2 + 10*m. What is h(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 298 = -u + 5*s, 3*u = 5*s + 1182. Let k = u + -396. Let o(g) = 5*g + 7. Give o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.115 times -4\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + ((sqrt(108) + sqrt(108)*2 + sqrt(108))*-6)\/((sqrt(36) + sqrt(108)\/sqrt(3))\/sqrt(9)) + 4.\nAnswer: -36*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 86.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2 - 366\/(-192))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244\/1785 - -2\/105. Let p = -2092 - -10462\/5. What is the closest to p in 2\/3, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -676 + 674. Let w(q) = 2*q + 0*q - q**3 + 2*q - 3. Let a be w(2). Put l, -5, a in increasing order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -10, -2 in ascending order.\nAnswer: -15, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -199*f**3 - 2*f**2 - 167*f - 777. What are the prime factors of w(-5)?\nAnswer: 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251353.6m to centimeters.\nAnswer: 25135360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)\/(g*g**(2\/13)\/g))**(2\/19)*(g**3*g*g**7*g)**(-50) assuming g is positive.\nAnswer: g**(-54596\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 28, 69, 126, 199?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(539) + (sqrt(539) - ((sqrt(539)*-4 - sqrt(539)) + -5) - sqrt(539)) - -2*(sqrt(539)*-5 - sqrt(539)))**2*-5.\nAnswer: -12600*sqrt(11) + 582870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 35, 55, 93, 155, 247, 375?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 3*p - 21 = 4*j - j, 0 = 5*p + f*j. Let m be (-1*p)\/(-4)*8. Solve 9 = m*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 3*i + 4*i**2 - 4*i**2 as j + y*i**2 + p*i and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9580 divide 613915140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 - 134. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -746866, -746860, -746844, -746812, -746758?\n\"Answer: b**3 - b**2 + 2*b - 746868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-6)\/(-264)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5420191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-3\/4))\/j*j)\/(j*j**(-8)) assuming j is positive.\nAnswer: j**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.049188 + -0.101512. What is c rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 9014*t - 2*t**3 - 8799*t + 4*t**2 to the form r*t**3 + f*t**2 + l + q*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 11. Suppose 0 = -5*r + 15. Suppose 10 + 10 = r*l - 2*i, l + 5 = 3*i. Is n(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 33 = -27. What is the third derivative of -5*s**6 + 31*s**2 - 28*s**6 - 2*s**h wrt s?\nAnswer: -4200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y - 299 = -96 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) - (-17)\/(-2). Let k be (-6 - w) + 6\/(-2). Which is the biggest value? (a) k (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.35 and -5000048.3.\nAnswer: -5000056.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -164*c**3 + 10*c**2 - 77*c + 136. Determine m(2).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {b: 11, e: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((-21)\/(-10) - 20\/200)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-11)*d*d**(-2\/7) assuming d is positive.\nAnswer: d**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*w - w. Let u(a) = -a**2 - 5*a + 1. Let t be u(-6). Let h = t - -5. Solve -4*x - 20 = h, 0 = -0*m + 4*m + w*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(10\/9)\/j*j*j**(-3\/7))\/(j**(2\/15))**1 assuming j is positive.\nAnswer: j**(173\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 21*k + 9. Calculate a(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8396.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8118, 2, 3, -1, 0, 1 in decreasing order.\nAnswer: 8118, 3, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/38886592 and 59\/7.\nAnswer: 272206144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/8*5*-6 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47501 = 2267*p - 27310 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t - 22. Let x = 51 - 15. What is the remainder when w(-8) is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345.9 - -387. Let b = -41.0036 + f. What is b rounded to three dps?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4680.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-4) - 5 - (-45)\/(-5). Suppose 3*t - o + 92 = 0, 0*o + 4*o = t + 38. Sort -2, j, t in descending order.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 231\/28 - (9\/(-12) - -1). Suppose 48 = -4*i + k*i. Is 5 a factor of 898\/i + 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 175*t**2 - 523*t + 376. Determine v(172).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149 and 2.5.\nAnswer: -372.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21406 and 21406?\nAnswer: 21406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*q = o + 13, 2*q = 2. Let c be 6\/o*(-32)\/42. Determine p, given that c*p**5 - 2\/7*p**2 + 0*p - 10\/7*p**4 + 8\/7*p**3 + 0 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*q + 10221 = 429 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 4 (c) 4\/5 (d) 0.4 (e) 32\/257\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**2 + 3260*l**3 + 2*l**4 - 3*l**2 - 3266*l**3 + 8*l**2 - 16*l**2 as w*l + q*l**2 + x*l**4 + f + b*l**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.9059522 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (52\/78 + 1252\/66)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 99*h + 102*h + 33*h to q*h + j and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + 2*q - 3*q + (4*q + 0*q - q)*(-1 + 5 - 5) - 4*q + q + 4*q + (-1 + 1 + 3*q)*(-2 + 1 + 3) - 3 - 2*q + 3 + (0 + 0 + 2)*(q - q - 2*q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19 - 5*l + 13 - 40. Let k(i) = i + 1. Let w(u) = -3*k(u) - s(u). Suppose z + 2 = -f, -2*f + 4*f = 5*z + 31. What is w(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmymmuhhhhummyuhm. Give prob of picking 2 y and 2 u.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168207115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 16*j + 29. Calculate the lowest common multiple of b(17) and (-98)\/(-24) + (-2)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4. Let x(b) = 1. Let g(j) = k(j) - 5*x(j). Let l(z) = 2*z**2 - z + 1. Suppose -5*a + 49 - 4 = 10*u, 0 = -4*u - 5*a + 39. Determine u*l(y) + g(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456264 < 2456258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 14 = 16. Let o(s) = -9*s - 1. Let g be o(1). Is (-7815)\/g*p\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -5 (b) -4 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -730, -3, -5, 0, 2.\nAnswer: -730, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16852 - 3029534147\nAnswer: -3029550999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 168836.58?\nAnswer: 168836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 56 - 31 - 3 = 0. Solve -z = m + 51 - 56, -m = 2*z - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 3. Let c be o(-4). Find the third derivative of c*z**3 - 11*z**3 - z**3 + 4*z**2 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26601 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - o + 382 = 380, 3*p - 4*o = -29 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 - 96*c + 20447\/3 = 0.\nAnswer: 127, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -1, 23, -36 in ascending order.\nAnswer: -36, -1, 4, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 121.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5622631703?\nAnswer: 13, 37, 2887, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 418*d**2. Let h(v) = 6*v + 5*v + 136 - 3*v - 136. What is i(h(z))?\nAnswer: 26752*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-54) + (-506)\/9. Let o = r + 56. Suppose 2*b - 32 - 64 = o. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 125*c - 1469. What is i(-134)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1538 = 2*j, 4*j + 3*y - 2*y - 3076 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from wwbabwwawa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 8:18 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2))\/(f*f*f**(-2\/11)*f*f)*(f*f**(-32))\/(f\/f**(-21)) assuming f is positive.\nAnswer: f**(-636\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-182)\/13)*(-2184)\/(-39).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 82*o - 518. Let f be y(-8). What is the highest common divisor of 18730 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167*l - 47436 - 79767 = 0 for l.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 310 = 26*o. Let m = o + -67. Let j(t) = 9*t**2 - 6*t - 22. What are the prime factors of j(m)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*1436191\nAnswer: -215428.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 26*j - 16)*(-1 + 2 + 2 + (5 - 1 - 2)*(-2 + 0 + 1)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -35*o + 109 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3097*u - 1611*u - u**3 + 3*u**3 + 1888*u.\nAnswer: 2*u**3 + 3374*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 7:09 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*t + 3*p, -9*p + 8 = 3*t - 13*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p**2 - 1859*p - 179. Give g(-116).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 3547 - 278. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 + z + 62. Let a be o(0). Suppose 12*n - a - 442 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:38 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 146. Calculate the least common multiple of g and 3*2\/3*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -p - 1275, 3*n - p = 5*n - 517. Suppose 13*t - n = 251. Suppose -4 = d, c - 2*d = -0*d + 21. Calculate the highest common factor of c and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 146203.\nAnswer: 146203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8763 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311946?\nAnswer: 2, 3, 51991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 + 5582*k**2\/15 + 434934*k\/5 - 2980967994\/5.\nAnswer: -2*(k - 1971)**2*(k + 1151)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11360994?\nAnswer: 2, 3, 71, 26669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39242107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(40)\/(sqrt(8) + sqrt(72)) + (sqrt(15)\/(sqrt(12)\/sqrt(4)) - ((sqrt(5) + -1)*6)**2).\nAnswer: -220 + 293*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) 15 (c) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 - -146. Let s = 356 + -262.4. Let p = r + s. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31687, 31674, 31671, 31684, 31719, 31782, 31879?\nAnswer: 32016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 55*v**2.\nAnswer: 5*v**2*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212201 (base 3) to base 12.\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4258)\/168191 + 952\/158. Suppose -2*l - 10 = -7*l. Solve 4*d + l*v + q = 0, 5*d + 0*v = 2*v - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 48*t - 140. Let i be r(6). Suppose -4*q + 4*w = -188, 3*q - 5*w = -0*q + 139. What is the common denominator of 19\/18 and (i\/q - 3)*-254?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 (base 6) in base 7?\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46916233.\nAnswer: 7, 13, 515563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/15)\/(4\/6). Let w(b) = b - 4*b - b + 1 + q*b - b**2. Let s(o) = o**3 - 6*o**2 + 5*o - 4. Let j be s(5). What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + 3.8. Let f = -8.7 - h. What is the second smallest value in -5, f, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 16 + 2*k - 4*k + 1. Let n be t(-7). Suppose -4*s + 3 + 21 = 4*b, 5*b = 3*s + n. Solve s + 0 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10614 = 220*u - 9954 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 21. Which is the closest to -1? (a) 2\/9 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -v, -v = -2*j - 0*j. Let q be (-23)\/92*(-6 - v). Sort -2, q, -1 in increasing order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + -253. Let v = -0.8 - -0.7. Which is the nearest to v? (a) m (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*c - 6 - 6, 0 = -3*u - 3*c + 9. Put -7, u, 4, -1 in decreasing order.\nAnswer: 4, u, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + w - 3120005, 0 = w - 5. What is h rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/3 + 0. Let o = -6 + 6.04. Let t = 0.14 - o. Which is the closest to t? (a) 3 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20544810, 41089620, 61634428, 82179234, 102724038, 123268840?\nAnswer: 143813640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let d(u) be the second derivative of -1\/2*u**3 + 0*u**2 + 0 + 3*u. Determine d(g(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 7*g**2 - 36*g - 35. Does 24 divide l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 429\/2, -1, -10, -26?\nAnswer: 429\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 + 9*v**2 - 11*v - 4. Let c(a) = -5*a**3 + 7*a**2 - 11*a - 3. What is -5*c(u) + 4*r(u)?\nAnswer: u**3 + u**2 + 11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 211302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -3 + (215 - 208).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -55. Let t = -49 + b. What is the third smallest value in 4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*58\/(-2552)*(-2)\/(-2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, y: 4}. What is prob of picking 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 60208.5 days?\nAnswer: 1445004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + d + 501 - 567.\nAnswer: 3*d - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6611631.7 rounded to the nearest 10000?\nAnswer: 6610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**6\/150 - 3*g**5\/100 + 2*g**3\/15 + 9*g. Determine s so that w(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*g**3 + g**2 + 144*g.\nAnswer: -360*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**3 + 0*n**5 + 0*n**2 + 1\/6*n**4 + 0 - 2\/15*n**6 + 6*n. Find the third derivative of f(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -656 - -657. Let x(u) = 81*u - 1. Let p(s) = 80*s - 1. Let n(m) = 4*p(m) - 3*x(m). What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12*h*h\/(h**0*h))**(-43)*h**(-5)\/((h\/h**(2\/15)*h)\/h)*h**(-2\/5)*h**(-6) assuming h is positive.\nAnswer: h**(-8569\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1429000 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -44. Are -1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.75.\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 1416*t - 1414*t + 1 - 9, -3*d = t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 178.4.\nAnswer: 356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Suppose 4*p - t - 27 = 0. What is the remainder when 20 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180) + -1)**2.\nAnswer: -36*sqrt(5) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - -17.46. Let f = -18.1 + n. Which is the closest to f? (a) -1\/4 (b) -4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4563*j**3 - j**2 + 1. Let w be d(-1). Let v = 3369434 + -30366049\/9. Let m = w - v. Find the common denominator of m and 57\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -12. Suppose -203*o - 37 = -228*o + 63. Calculate the greatest common divisor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 87.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 52 + 18. Let r = h - 3. Calculate the remainder when -12*(-7)\/((-105)\/(-40)) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 - 1 + 1)*(17 - 1 + 2)*(-4*d + 4*d - 2*d**2) to l*d**2 + k*d**3 + h*d**4 + s + v*d and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.14175, -5, -9, 1\/8, -4?\nAnswer: -0.14175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + m - 23613 = 0, -43*w + 5*m - 23617 = -47*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/4 - 3*o**2 + 9*o\/4 + 11\/2 = 0?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o - 1\/24*o**4 - 1\/2*o**2 + 0 + 1\/2*o**3. Let f(k) be the first derivative of h(k). What is f(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {z: 2, e: 2, f: 1, h: 1, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 246 - 95 - 135 - (-8 - (-2 + 3))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183230 is divided by 7328?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 74*h + 2668. Let z be f(-36). Let m(v) = -21*v + 30. Calculate m(z).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = d - 95. Suppose 104 = d*s - 4*k, -5*s = -k - 62 - 54. Suppose 0 = -5*m + 31 + 294. What is the remainder when m is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 46*o - 13*o. Solve 2*q - o = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0.0615 (c) 0.3 (d) 15 (e) 0.2 (f) -3\/8 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/11 (b) -5 (c) -0.06 (d) 34 (e) 3 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 0)*(-9*i**3 - 2*i**3 + 15*i**3) as l + k*i**2 + g*i**3 + d*i and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11224867.97 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2019*h**3 - 2*h + 5*h**2 - 2124*h**3 - 3*h**2 to y*h**2 + u*h**3 + i*h + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 110301200211?\nAnswer: -110301200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 425.\nAnswer: 4675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/(g**(1\/6)\/g)*g**(-1\/3)\/(g*g**(7\/2)))\/((g*g**0)\/(g**(-6)\/g)*g**(-2\/11)\/(g\/g**(-1))) assuming g is positive.\nAnswer: g**(-163\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4977 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 2\/17, -2, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 29, -5, -0.6, 4, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 25 + 24 + 6*n**3 - 47 - 14*n**2 wrt n?\nAnswer: -60*n**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -86, -75, -64?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1493509 and 12456.\nAnswer: 107532648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 - -117 - (-4 + -18090) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 15, 17, 15, 9, -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2 - (-65 + 17)) + 114 + -129?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/432 and 76\/3087.\nAnswer: 148176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 26*q**3 + 2*q + 2*q**2 + q**2 + 1 - 33*q**3 to r*q**2 + l*q + n + p*q**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6361628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 7*g + 136. Let j = g - -50. What is the smallest common multiple of 7 - (j + -8) - 2 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214014)\/(-23850) + (-8)\/(-300)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16716 + -5167. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 3*y + 0*y)*(-2*y + 1 - 1) + (4*y + 0*y - 2*y)*(0*y + 13*y - 28*y) in the form x + c*y**2 + m*y and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-18) + (20\/(-3))\/(-4). Let d(j) = -2*j**2 - 3. Let a(p) = -p**2 - 1. Let k(m) = g*a(m) - d(m). Determine k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343239 and 106977.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 + 40.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b0c (base 16) to base 7.\nAnswer: -223502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -583*v**7\/42 - 5*v**4\/6 + 77*v**2\/2 - 869*v. What is the third derivative of j(s) wrt s?\nAnswer: -34980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*q**4 - 1063949*q + 9669374 wrt q?\nAnswer: -20*q**3 - 1063949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -13*f - 10464. Let h = -828 + f. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -60. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 4413888.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztphzpvttwv. What is prob of picking 2 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -81*g - 320. Let z be l(-4). Let n(w) be the first derivative of 0*w**3 + 0*w - 7 + 4*w**2 + 9\/4*w**z. Find the second derivative of n(r) wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18824 by 4706.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -482.7 + -3.80437\nAnswer: -486.50437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -77*q**2 + 56. Let n(w) = 2*w**2 + 59*w - 63. Let c be n(-35). Let g(x) = -3 + 7*x**2 - c*x - 2 + 322*x. Determine 56*g(a) + 5*j(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1938 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((4 + 3*sqrt(539) + -1*(sqrt(539) + -3))*5 + 0)*-3)**2.\nAnswer: 264600*sqrt(11) + 2976750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1936214 * -60.\nAnswer: -116172840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t**2. Let u(j) be the second derivative of -j**5\/30 - j**2 - 2*j. Let m(c) be the first derivative of u(c). Calculate m(a(v)).\nAnswer: -722*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*(4 + sqrt(891)*-3 + sqrt(891)) - ((1 + sqrt(891) - sqrt(891)) + -4 + 2*sqrt(891) + 0)) + 0)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125695 - 3*i + 125695.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 288 * -0.54\nAnswer: -155.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1834, -3664, -5494, -7324?\nAnswer: -9154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -54*z - 99*z + 6887119. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8755 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28377 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -565670, 2 in decreasing order.\nAnswer: 2, -4, -565670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 649113181 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 658913466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 96 = 2*p + 4*f, 5*p - 261 = 3*f. 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: What is the value of (76\/(-969))\/(5\/(15\/2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 0 + 0 - 2*q + q + 0*q + (-4*q + 2*q + 4*q)*(-1 + 0 + 0) - 3*q + 3*q - 2*q + (8*q - q + 8*q)*(-3 - 4 + 14) in the form d*q + m and give d.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35541134*b**2*v**3 + 8*b**2*v - 2747*v**3 + 25612*v with respect to b.\nAnswer: 71082268*b*v**3 + 16*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/86292 and 49\/50760?\nAnswer: 862920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101355899 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/12 + 4*k**3\/3 - 3*k**2\/2 + 9*k. Let q be c(4). Which is greater: 14 or q?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -8)*22\/4. What is the units digit of (2 - x)*(-2 + -3 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 293 = -1255. Suppose n + 6 - 33 = -b, 2*n + w = b. Solve -8 = 11*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 + 490335*u**2 + 20062397544*u + 2180979547248 = 0. What is u?\nAnswer: -81668, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 864*a + 7533 = 0. What is a?\nAnswer: -279, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:46 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 4793850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2. Suppose 2*p + 2*f + 10 = 0, -4*p - f - 1 = 10. Let n be p - 3\/(-6)*-10. Let m = 5 + n. What is z(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 + -1.6. Round y to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616412481?\nAnswer: 3, 205470827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21863 or 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1490 - 6*h - 1489 + 5*h**3 - 4*h**3)*(-2 - 4 + 0).\nAnswer: -6*h**3 + 36*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - t**4 + (-2*t - 1 + 1)*(-2*t**3 + 3*t**3 - 3*t**3) + 0*t**4 - 2*t**4 + t**4 + (-t + 31*t - 14*t)*(2*t**3 + t - t).\nAnswer: 34*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and -27\/17506?\nAnswer: 87530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**23*b\/(b\/(b**(-2\/27)*b*b)) assuming b is positive.\nAnswer: b**(673\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 751948 - 371948. Round k to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-8 - 0)) + (0 - (-5 - 41 - -4)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/15)\/b)**(-41))**29*(b**6*b\/b**2*b)\/(b*b*b*b\/b**(-2\/5)*b)**(-7) assuming b is positive.\nAnswer: b**(4174\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24235367, -24235358, -24235349?\n\"Answer: 9*p - 24235376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/9)\/((-63)\/(-135)))\/(7\/(294\/4))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 4. Let t(a) = -5*a - 3. Let k(x) = 5*x + 48. Suppose 72*u = 58*u - 126. Let b be k(u). Determine b*r(y) - 4*t(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1967 + 1964. What is the closest to y in 5, -0.08, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1 - (-48)\/(-128)*(-32 + 56)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/10 + 3*v**4\/2 - 17*v**3\/6 + 9*v**2\/2 + 54*v. Let p be k(8). Suppose 45 = r - 6*r. Sort p, r, -5.\nAnswer: r, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from heehhhqhhdhbqe.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 11*s**2 - 27*s - 9. Let z be b(-13). Solve 4*m = -3*o - 6, -z*m + m = -5*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -9. Let f = -4 - j. Which is bigger: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -231ca + 2?\nAnswer: -231c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 1 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p - 2. Let n be p*-1*(-6)\/4. Suppose 0 = -n*s + s + 144. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2837, -2935, -3099, -3329, -3625, -3987?\n\"Answer: -33*d**2 + d - 2805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5129.058 litres to millilitres.\nAnswer: 5129058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 882*t**2 + 1770*t - 886.\nAnswer: -2*(t - 1)**2*(t + 443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:53 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k - 2. Let d = 20 - -46. Let i(v) = 30 - d + 33 + 26*v. Let z(a) = 9*h(a) - 4*i(a). Differentiate z(w) with respect to w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4506735.\nAnswer: 1\/1502245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 7, s: 4, w: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/15708 and -5\/693?\nAnswer: 47124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/12 + 19*j**3\/6 + 4*j**2 - 13*j. Let h be r(-19). Let m = h - -54. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7714*z - 2544 = -7730*z. What is the highest common divisor of z and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v + 175 + 237 = -497*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from fjaaaaj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:25 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*((-3 + 1 + 1)*(v + 13*v + 31*v) - 7*v + 7*v + 8*v).\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19734 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 10 = 6*j. Calculate the remainder when 12\/20 + (-764)\/j is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835336538.\nAnswer: 2, 3, 7, 14566163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let k be 5\/3 - (64\/(-12))\/16. Solve 0 = -2*d + 3*w - 1, 2*w - k + 8 = -a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76674 (base 14) in base 10?\nAnswer: -286654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -4*b. Suppose -3*r - b*t - 225 = -8*r, 4*r + 3*t = 201. Suppose -2*z = -6*z + r. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*1\/(68\/68*4\/24*-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2630 divided by -526\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27456, -27061, -26666, -26271, -25876, -25481?\n\"Answer: 395*o - 27851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 35*u**2 - 130*u - 7. Calculate t(30).\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 191 = -2*f + 98, -f + 98 = q. Suppose q - 671 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620207 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-14 + 6 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**12\/((b**(-11)\/b)\/b)*(b*b**16)\/b*b*b\/(b**(-1\/19)*b) assuming b is positive.\nAnswer: b**(799\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -3304459218.8?\nAnswer: -3304459211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 21 = 7*g - 2*g, -4*g + 12 = -4*f. Suppose -4517087 = g*t - 797087. Round t to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 9*s - 8. Let w be c(10). Suppose -w*g + 3*j = -74 - 21, -3*g = -4*j - 141. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -2?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4303*o**2 - 20 + 6754*o**2 - 26 + 70 - 28.\nAnswer: 11057*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31875465, -63750930, -95626395, -127501860, -159377325, -191252790?\nAnswer: -223128255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 38284279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237838324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 105*n - 46. Let p be -1*2*(-3 - -5). Let s(a) = -53*a + 24. Let b(v) = p*t(v) - 9*s(v). Is 23 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - t**4 - t**2 - 2*t**4 - t**4 + 2*t**4 + (11 + 0 - 4)*(2*t**4 + t**4 - 2*t**4) to the form w*t**3 + y*t**4 + d*t**2 + h*t + j and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*s*u**3 - 2*f*s*u + 10*f*s + 741*f*u**3 + 2*f*u**2 + 8*s*u + 12*s - 2*u**2 - 3*u wrt u?\nAnswer: -12*f*s*u + 4446*f*u + 4*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 1. What are the prime factors of r(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -223)*3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -30.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39637 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v + 2. Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -9. What is the biggest value in -2\/7, t, 0.18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 37*y**2 - 2*y**2 - 3*y.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-7))\/(640\/2240)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u - 1778 - 58 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-20))**(7\/9)\/(f\/(f**(-24)*f)*f**(1\/23)\/f) assuming f is positive.\nAnswer: f**(-7990\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 149853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let r(d) = -207*d + 1843. Let c(z) = 380*z - 3687. Let t(f) = -6*c(f) - 11*r(f). Give t(v(w)).\nAnswer: -3*w + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-40)\/(-5))*7\/(112\/128).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33493227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*x*z**2 - 665*c**3*x*z - 14719*c**3*z + 2*c**2*x - 11*c**2*z**2 - 681*c*x*z**2 + c*x - 14*c*z**2 + 4*c wrt c?\nAnswer: 12*x*z**2 - 3990*x*z - 88314*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 21002022100021?\nAnswer: 21002022100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 10*n + 39. Let k be (n*15\/(-20))\/(24\/616). Which is smaller: -18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39859868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**3*r - 3*g**3*v**2 - 243*g**2*v**2 + 11678*g*r*v**2 - 9*g wrt g.\nAnswer: 54*g*r - 18*g*v**2 - 486*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 361347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:17 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 534049 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 234?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + 4*sqrt(143)*-2 + sqrt(143))\/(sqrt(704) - -2*sqrt(704)).\nAnswer: -5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 315 - 312 + 627.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 15*n + 48. Let i be a(-6). What is the greatest common factor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 146825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 5*w**3 - 7*w**4 - 2*w**3 + 2*w**4 + 4*w**3.\nAnswer: -3*w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 25632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 33320230.\nAnswer: 33320229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8))**(-1\/3)\/((k**(-23)*k)\/k**(2\/49)) assuming k is positive.\nAnswer: k**(933\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + 0.3. What is the third smallest value in a, -1, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -46342*k - 324465. Determine o(-7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 4215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1251*a**2 + a + 37. Let z be u(-4). Let i = -8132 + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016221 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-10))\/(-2) - (-48)\/15. Does 14 divide ((-645)\/(-10))\/(2*d\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*j = 2*t + 105, 5*t + 153 = -j. Let l be (-2)\/7 - t\/7. Suppose -l*u = -2*u - 262. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1603*n - 5904. Let v be m(-8). Is 6921 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 - 85*h**2 - 24*h + 243. Let u(a) = -a**3 - 4*a - 3. Let g(f) = b(f) - 6*u(f). Find the first derivative of g(m) wrt m.\nAnswer: 9*m**2 - 170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 + 2*v - 3. Give s(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/11)\/c**(2\/41)*(c*(c**(-10)\/c)\/c*c*c*c)\/(c\/((c**2\/c)\/c)) assuming c is positive.\nAnswer: c**(-4327\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - d + 10 = 2, 2*z = 3*d + 41. What is the highest common factor of z and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, e: 10}. Give prob of picking 2 e.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*g*n**2*z**2 + g*n**2 - g*n*z + 2*g*z**2 + n**2*z - 2*n*z**2 + 39*z wrt z?\nAnswer: 900*g*n**2 + 4*g - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148076*p**2 - p - 62155.\nAnswer: 296152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 4, w: 4}. Give prob of picking 1 k, 1 l, and 1 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 + 3 - 20 + 2*l. Let z be o(10). Let n(s) = 9*s. Is 20 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k**(-6\/5)*k))*k*k\/k**(-4\/7)*(k**(-9))**(-12) assuming k is positive.\nAnswer: k**(3898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 10*d**2 + 5. Let s be g(10). Suppose 5*i - 3*m - 4 = -3, -i = s*m + 11. List the prime factors of ((-42)\/(-49))\/(i\/(-217)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 9*u + 8. Let o be r(-8). Suppose 2*y + 0*y = o. Are 6\/11 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -124. Suppose -2*v - 580 + 1592 = d. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (442*d**3 - 250*d**3 - 240*d**3)*(-3 + 4 - 11) in the form r*d + a + s*d**2 + o*d**3 and give o.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*q - s - 44, 3*s = 4*q + 3. Solve -m + 2*m + 4*p = -4, -2*p - 12 = q*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3 + (-2 + 2 - 1)*(4 - 2 + 7) + (1 - 2 + 0)*(2 + 3 - 3) + 17 + 0 - 5)*(-1 + 1 + y) to j + u*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -63*a**2 - 6*a + 9. Let t be o(-6). Let h be (-355)\/t - 2\/13. Let x = -286\/171 + h. Is x greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:17 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 205299011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810 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: b\"What is the uth term of 16469, 16466, 16463, 16460, 16457, 16454?\n\"Answer: -3*u + 16472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6) + 16\/(192\/(-370)). Which is smaller: j or 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/434 and -5\/558.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/(-4)). Let m = -55.61 + 27.67. Let s = m + 28. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**4 - 3*p**4 + 5*p**4)*(-26 + 251 + 204) + 3*p**4 - 2*p**4 + 0*p**4 to o*p**2 + d*p**4 + k*p**3 + z*p + u and give d.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6 = 10*w, -t + 35465 = 2*w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/13 (c) -4 (d) -1\/7 (e) 12.9 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 3*c**2 - 7\/6*c**4 - 6*c - 3\/10*c**5 + 0 + 7\/3*c**3. Let f(m) = 2*m**3 + 5*m**2 - 5*m - 2. Determine -5*b(j) - 14*f(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156.1 - 5.1. Let n = f + -151. Which is the closest to 1? (a) -1\/7 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d + 152 = 9*d - 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 258793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 2 + 79\/24*z**4 + 0*z - 3*z**2 + 0*z**3. Let s(t) = -2*t**2. Give s(j(m)).\nAnswer: -12482*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.93839ng in micrograms?\nAnswer: 0.00593839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = j, 0*f + 7 = -2*j - 3*f. Suppose -j*d + 4*i + 36 = -0*i, -4*d = 5*i. Which is the closest to -0.2? (a) -1 (b) 1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, 4, 11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebpbtbxtxtb. Give prob of picking 1 p and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24140763, -48281520, -72422277, -96563034?\nAnswer: -120703791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106724438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (880 - 880 + 25*s)*(457 - 75*s - 457).\nAnswer: -1875*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-6))\/((-1)\/3). Suppose 3*j - 134 = -2*k - 168, j - 4*k = -16. Let s = r - j. Is s >= -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4 - 3*n + 2 + n. Let r(c) = -3*c + 6. Let h(z) = 3*r(z) - 4*x(z). Let v be h(-8). Solve -40 = -3*t - 0*t + 5*q, v*t = q + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-399)\/(-357)*1\/1)\/(-1). Put n, 4\/3, -1 in decreasing order.\nAnswer: 4\/3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/(3\/(-48)*-4*10\/(-1))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(-34))\/((-1)\/(-6)). Solve 2*x = j - w - 1, 20 = 5*j + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -49*u - 244. Suppose -15*a + 18*a + 54 = 0. What is the units digit of n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 - 11*j - 7. Let w = -37 + 30. Let s be p(w). What are the prime factors of (54\/s)\/(6\/56)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 1, 6, 13, 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - (-6 - (-2 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 41*o + 218. What is the remainder when r(36) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -22. Suppose w*k - 53 = 9*k. Let v = 102 - k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 - 3*x**2 + 1 + 0*x**4 + 8*x**2 - 2*x**4 in the form b*x + f*x**3 + r + z*x**2 + n*x**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6780042 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2958.8 + -2959. Which is the closest to x? (a) -0.4 (b) 0.2 (c) 5 (d) 158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/72)\/((-300)\/2700)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Let s = -3 - a. Let k be -3*1\/3*-1. Sort s, -0.1, k.\nAnswer: s, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.3. Let y = 800\/7 + -115. Which is bigger: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1011 + -1022. Let n(o) = -76*o + 118. What are the prime factors of n(c)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -17602?\nAnswer: -17603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -0.1. Let a = 0.01 - 0.11. Let w = -23 + 23. What is the nearest to w in a, -5\/3, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-103\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 314*x + 72548. Calculate s(-231).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -3*n**5\/20 + 5*n**4\/2 + 7*n**3\/2 + 14*n**2 - 10*n. Factor p(y).\nAnswer: -3*(y - 7)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*k = 43, 4*k - 125 = -0*f - 5*f. Let m = -9 - -18. What is the highest common divisor of f and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*o = -77*o - 4*l + 16, -5*l + 20 = 2*o. Suppose 4*q = n - 14, q + 0*q + 9 = 3*n. Is q greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7714*l. Let f(h) = 11*h. Calculate p(f(j)).\nAnswer: 84854*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 202021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k*k**(3\/20) assuming k is positive.\nAnswer: k**(-97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-120))\/(13\/6 + -2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**6\/60 - 3*q**5\/5 - 8*q**4 - 128*q**3\/3 - 5*q**2\/2 - 10*q - 158. Let y(s) be the second derivative of b(s). Factor y(z).\nAnswer: -2*(z + 2)*(z + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/224519 and 38\/2737221.\nAnswer: 128649387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249793 is divided by 104?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -0.3, 0 in increasing order.\nAnswer: -3, -0.3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1056 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -494\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12353\/4 + -3088. What is k in u*k - 1\/4 - 1\/4*k**3 + 1\/4*k**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180485 is divided by 271?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97297 and 1959.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80946 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 1 + 15. Is -6988*-2*k\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*b**2 - 36*b**2 + 91*b**2 + 56*b**2 + 157*b**2 to the form m*b**2 + q*b + h and give m.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 + 3*n**2 - 6*n + 9. What is the remainder when 3128\/24 - 2\/(-3) is divided by s(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.134699 to three dps.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 + 22617672*p + 28*p**2 - 22617672*p. Let f(j) = 13*j. What is f(c(z))?\nAnswer: 364*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9048)\/(-29))\/(-24) + -6)*(5 + 1)*-1.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.542 + 0.252. Which is the closest to v? (a) -4 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008467 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -127, -178, -229?\n\"Answer: -51*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/30 + n**4\/4 - n**3\/3 - 4*n - 12. Find c such that q(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967974 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3388)\/14)\/((-3)\/237*1)?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -0.23. Let c = -0.3 + g. Let w = c + 1. What is the second smallest value in 0.1, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5424069887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 397. Let y be 12\/2*h\/18. Suppose 0 = 5*f + 3*z - 551, -2*f + y = -3*z - 139. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579.03 * 3\nAnswer: -1737.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1218, -1206, -1186, -1158?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 4*o = 19, 0 = -2*t + o + 6. Let u = t + -2. Let l(g) = -1 + 0 - 4*g + g. What is l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f*j**3 + f*j**2*k + 535*f*j*k + 10*f*k + 1664*j**4*k - 3*j**3*k + 3*j**2*k wrt j.\nAnswer: -72*f + 39936*j*k - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41234833.\nAnswer: 1063, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 8 - 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 2. Let d(q) = -2*q + 1. Determine 5*d(a) - 4*v(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128, 113, 102, 101, 116, 153?\n\"Answer: q**3 - 4*q**2 - 10*q + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -6. Suppose 0*v - 28 = 4*v + 2*y, -11 = 3*v + 4*y. Is v not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477993327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -303\/1567838 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*o = 109*o - 358*o + 2920 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1678 + -0.0678. Which is the nearest to g? (a) -3 (b) -6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = 4*t, -4*y + 9*y - 14 = -t. What is the third derivative of -68*c**6 - 64*c**y - 52*c**6 - 53*c**6 wrt c?\nAnswer: -20760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 15) + (51 - 32) + (-29 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/224 and -107\/47952.\nAnswer: 671328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*y + 15. Suppose -4*l - 8 - 2 = -y*p, -l - 20 = 3*p. Sort 1, p, -2\/5, 14 in decreasing order.\nAnswer: 14, 1, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose 4*j = 8*j - 16. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 21*n**2 - 95*n - 53. Determine z(-16).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 341680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1704)\/30*(14\/(-4) - -1). Let u = w + -111. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -61*l**2 + 3845*l - 127. Determine k(63).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 - -0.2. Let n = l + 8. Let p = n + -2.9. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (-21 - -30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = -60. Solve 3*m + 4*a - q = 14, 11 = -2*m + 3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259.4 - 259. What is the closest to 0 in -0.05, 2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drgdggdpdglllld. What is prob of picking 1 d and 1 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93103845 + 30303845. Round d to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*k**3 - 7*k**2 + 13*k**2 - 6*k**2 + (3 + 0 - 2)*(3*k**2 - 3*k**2 + 3*k**3).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 18*q**2 - 995*q - 18565. Calculate l(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 95*d - 86*d + 171*d)*(1 + 3 - 2)*(2*d - 3*d + 0*d)*(-3*d + 0*d + 5*d).\nAnswer: 40*d**3 + 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21534 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1312?\nAnswer: -130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2818 - 9*l + 49*l - 3*l**3 + l**3 + l**2 + 87*l.\nAnswer: -2*l**3 + l**2 + 127*l + 2818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59574796.\nAnswer: 2, 61, 244159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4*n + 4. Let s be v(-5). Is (-2 + s)\/(4\/(-28)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/7)\/t)**(-20\/3)*t**8\/(t\/(t\/(t*t**(-4\/3)*t))) assuming t is positive.\nAnswer: t**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.12 (b) -34 (c) 2\/5 (d) 2 (e) -2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 846?\nAnswer: 19458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**5 + 22 - 4*u - 22 - 10*u wrt u.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1628 divided by 2.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {t: 2, e: 1, m: 5, f: 1, u: 2, g: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 45 = -5*l, -4*l + 8 = -t - 13. Solve l + 1 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/298*(-111)\/((-2442)\/22)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 214. Let y(t) = t**3 - t**2 - 3*t - 2. Calculate y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y - 4*y - 44*y**2 - 7*y. Let s(a) = -2*a**2. Determine s(z(l)).\nAnswer: -3872*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70928891367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*q + 328, 0*q + 2*f = 2*q - 136. Let b = -52 + q. Solve -3*x = 2 + b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in 4090, -0.5, 0, 0.069, -2?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*f**3*q**4 + 675*f**3*q**2 + 5*f**3 + 144*f*q**6 wrt q?\nAnswer: 1656*f**3*q + 17280*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 11) to base 6.\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + k = -2*j, -k = -4*j + 15. Suppose -5*z - 1 = l - 8, 15 = -j*l. Solve -3*o + z*o = -4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011011110111110 (base 2) to base 8.\nAnswer: 1733676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90164438 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/77896 and 103\/6.\nAnswer: 233688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35027, -35178, -35329, -35480?\nAnswer: -35631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16275 - ((30 - 6)\/(-4) - -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 4) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001926793 rounded to seven dps?\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 236101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79\/42 - -50\/21. What is the nearest to -2 in -4, b, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6\/(q\/((q*q**(-4\/3)\/q*q)\/q))*(q\/q**(3\/7))\/q**(-2\/19)*q*(q**(-1)*q*q)\/q*q**(3\/5)\/q*((q\/(q*q**(-4)))\/q)\/q**(-2) assuming q is positive.\nAnswer: q**(19837\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 62*p - 700 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632559294.\nAnswer: 2, 3, 23, 169769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y**27*y assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*c + 29 = 0, -j - 977*c + 972*c = 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*a - 214, 0 = -4*p - 4*a - 42 + 330. Calculate the highest common divisor of p and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221\/11 + -7171\/352. Let i = m + 257\/32. Is 7 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 7211 = 3*a - 7187, -2*a - 39 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 81. Which is the smallest value? (a) -3\/5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {y: 1, r: 7, h: 1, d: 1, i: 3}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*g**5 - g**4*k - 8*g**3*k - 9*g**2*k + g**2 - 22*g*k + 3 wrt g?\nAnswer: -5160*g**2 - 24*g*k - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 53.5. Let r = 0.5 - s. Which is the fourth biggest value? (a) r (b) 0.05 (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/90*79124 - 4\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1456575 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 668 - 650. Solve 9*g + s = -9*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.1 (c) -21\/916\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 22*h**2 - 19*h + 3. Let c be k(-1). Suppose 2*l - 18 = -0*l - 5*b, -4 = -b. Does c = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2\/13 (c) 5524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 2*h, 0*h = 4*h + 16. Let y be z + -2 + 1 + -3. Let k(f) = -4*f - 2. Let v be k(-1). Solve 3*n - n + v*m = -y, 2*n + 14 = 2*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 18 = 12*u. Let i(c) = -19*c - 1. Let f(v) = v**2 - v - 1. Let h(j) = -f(j) + i(j). Let k be h(u). Sort -2, 7, k in descending order.\nAnswer: 7, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2951064 millilitres in litres?\nAnswer: 0.0002951064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2673356*b - 8830401*b + 2541395*b.\nAnswer: -8962362*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51355113 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*q - 25*q - 37*q to the form v*q + f and give v.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278 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: What is -11.42 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 14728 - 21*s**3 + 20*s**3 - 2*s**2 + 14719. Give i(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-75)\/18*1. Let u = t - -8. Are 0 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -214, -403, -582, -745, -886, -999?\n\"Answer: z**3 - z**2 - 193*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -20 - (51 + 25 + (-88 - -28)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9335099 to the nearest integer?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) - sqrt(176)*1))**2 + -3 + sqrt(11)*-2)*6.\nAnswer: -12*sqrt(11) + 1038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234179 and 2684?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 - 8*f - 7. Let v be w(-7). Solve -18*n + 19*n = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10295*d*x**3 - d + f*x**3 - 357*f wrt x.\nAnswer: -30885*d*x**2 + 3*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 18*p**2 + 15*p + 37. Let y be m(17). Suppose 15 = -y*n + 18. Is n >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.02, -0.08, -123145?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:14 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 7*l - 5*l in the form h + z*l and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -56.41 times 3.7\nAnswer: -208.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -2*k, -4*y = -2*k + 2350. Let n = 473 - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 7. Let n = -141 + 708\/5. Which is bigger: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.348 + -0.368.\nAnswer: 106.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -196*f + 6. Let g(d) = -4639*d**2. What is a(g(l))?\nAnswer: 909244*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 bigger than 217\/911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19655.\nAnswer: 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -60. Let n(t) = -5 - 26*t**2 - 12*t - 7*t**3 - 25*t**3 + d. Let x(k) = -k**2 - k + 1. Let z(o) = -n(o) + 10*x(o). Factor z(c).\nAnswer: 2*c*(4*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.141 in 0.4, -0.4, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*o - 22 = 0, v + 5*o - 9 = -0. Sort 0, 2, -5, v.\nAnswer: -5, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 17*t**2 + 2*t - 30. Let r be y(17). Solve 15*m - 16*m + 3*s - 11 = 0, m + r*s = 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(-3*sqrt(405) - sqrt(405)) - 1*((sqrt(405) - -2*sqrt(405)) + sqrt(405))) + 6*(sqrt(405) - (-5 + 0 + sqrt(405)))*3)**2.\nAnswer: 13536*sqrt(5) + 34756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5293 - 5289. Solve -m*p + 98 = 118 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189889 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*q**3*x + 7*q**3 - 26*q**2*x + 2*q**2 + 91933*q*x + 2*q + 2*x - 3 wrt q.\nAnswer: 168*q*x + 42*q - 52*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27573504?\nAnswer: 2, 3, 7, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3616 + 4365.6. Round y to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 41088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 13*w**2 + w + 18. Let v be j(-13). Suppose 0 = 4*n - v*n + 9. Calculate the remainder when 151\/n + 16\/72 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 4 = 0. Let y be (6\/m)\/((-3)\/(-8)). Let c be ((-10)\/3)\/(4\/(-12)). Solve 0 = y*i + 2 + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 404 - 3906. Let r = y - 791. Solve -59 = 4*m - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45284 + -45284.0000019083. What is u rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17586, -35170, -52760, -70356?\n\"Answer: -3*l**2 - 17575*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 404 and 4072380.\nAnswer: 4072784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*l + 3*l - 8*l)*(-l**2 + l**3 + 0*l**2 - l**2).\nAnswer: -34*l**4 + 68*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*t + 33*t + 144. Let c = -375 - -389. Solve n + c = t*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*i - 397*i = 688 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 - 390 = 2*l + 5*m - 4*m, 2*m = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.931599 years to decades.\nAnswer: 0.8931599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008696 to five decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:21 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243540310?\nAnswer: 2, 5, 13, 67, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19351091629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2301065300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/5)\/((-64)\/(-80)). Does d = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/3 - 92\/3*t + 4\/3*t**2.\nAnswer: 4*(t - 22)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 58*o - 525. What is u(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97, -252, -511, -874, -1341, -1912, -2587?\n\"Answer: -52*m**2 + m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1651626\/49 or -33706?\nAnswer: -33706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-3 + 0 - 6 - -2) - -24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Suppose 2*b - o - 13 = 0. Solve -3*t + 0*t - 5*c - b = 0, -5*t = -2*c - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzrg when four letters picked without replacement from {n: 8, r: 6, g: 1, e: 4, z: 1}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3 = -2*i - 25, -5*w - 3*i = 36 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -52, -5, -2, -4 in increasing order.\nAnswer: -52, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467801 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.718 - 0.282. Let s = -11 + 18. Suppose 2 - s = -q. What is the closest to -0.1 in q, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 10:03 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10801, -79473, -263881, -621889, -1211361?\nAnswer: -2090161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98846849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:40 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 23*s - 56. Let i be y(16). What is the units digit of (4 + i\/16)\/(1\/(-66))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*z**4 - 9*z - z**3 - 56*z**4 - z + 126*z**4 wrt z?\nAnswer: 348*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 4385836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 16 + 11)*(71*j + 53*j - 25*j) as m*j + r and give m.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(196))\/sqrt(7))\/sqrt(4) + (2 + sqrt(7)*-3)*5.\nAnswer: -13*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*q + 9. Let y be (-6)\/39 + q + -3. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*6*48\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-26)\/(-22)) + 2\/11. Factor -3*s**3 + w*s**3 + s - 2*s**2 - 2*s.\nAnswer: -s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14*o**2 + 16*o + 1. Give x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 115957062 divided by -702\nAnswer: -165181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -0.05.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) - ((-92)\/(-40) - 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 12 = -8*j. Suppose -12 + 36 = -j*m. Let y(f) = -f**2 + 6*f + 6. Let c(u) = -6 - 1 + 2 - 3*u - 2*u. Give m*c(l) - 3*y(l).\nAnswer: 3*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/(-10*(-24)\/280)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2778*t + 22671 = 15739*t + 357*t - 3965 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (4 + -43) - -11) + 3\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*i**2*m*q - 49*i**2*m + 6763*i**2*q - 2974*i**2 - m + q wrt q?\nAnswer: -19*i**2*m + 6763*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4504661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353a (base 16) to base 4.\nAnswer: 3110322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/24 - k**3 - 18*k**2. Give l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/22908 and -101\/441876.\nAnswer: 36675708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - 2*w + 22. Suppose -2*q - 26 = -3*z - z, 0 = -q - 5*z - 48. Let j be ((-2)\/(-4))\/(q\/(-276)). Is 2 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5168 = -3*c + 5*v, -3*c + v = -5152. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 3*l**3 + l + 2*l**3 + (-4*l + 5*l - 3*l)*(-11*l**2 + 5*l**2 + l**2) to the form u*l + v*l**2 + p + i*l**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4394*f**3*t**3 + 81*f**3*t**2 - 38*f**3*t - 2*f*t**2 + 2*t**4 wrt t.\nAnswer: 26364*f**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4600 is divided by 52.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 2631, 27.\nAnswer: -5, 0, 4, 27, 2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51406.22 rounded to the nearest 10?\nAnswer: -51410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55848 and 6?\nAnswer: 55848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 304*l**2 + 184*l - 949. What is the thousands digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7681 + 2382 + 2825 = -218*f + 934*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9399, 9376, 9317, 9204, 9019?\n\"Answer: -3*x**3 - 2*x + 9404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2289791247.32 and 204?\nAnswer: 2289791043.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:51 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + -24.6. Let j = 26 + s. Sort -4, j, -5 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311043 (base 6) in base 2?\nAnswer: -11100110110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.325, -3, -4, 0.2 in ascending order.\nAnswer: -5.325, -4, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + sqrt(102)\/sqrt(6) + sqrt(85)\/(sqrt(10)\/(sqrt(2) + sqrt(2)*2)) + 2.\nAnswer: 6 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 9)*(3*o + 17*o - 6*o)*(-13*o**4 + 7*o**4 + o - 5*o).\nAnswer: -336*o**5 - 224*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467273 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1001101101011000011101?\nAnswer: -1001101101011000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 35 + 16*j**2 + 3 to the form g + h*j**2 + n*j and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/14894 - 1541541\/59576. Is -27 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 54*h**2 - 10*h**2 - 25*h**2 + 37*h**2 - 7.\nAnswer: -52*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159858216 by 17762024.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqcq when four letters picked without replacement from qiokcqkqqqlko?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1455 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 46 + 11. Let g(v) = w - 7 + v. Let p(l) be the third derivative of l**4\/12 - 2*l**2. Give g(p(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2. Let w(q) = 28*q + 8. Let g(y) = 56*b(y) + 2*w(y). What is the derivative of g(i) wrt i?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/6 + 19*a**2\/2 - 32*a - 78. Let v(c) be the first derivative of j(c). Give v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -65*c + 601. What are the prime factors of o(-52)?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-6) - (-245)\/6) + -3. Suppose r - 49 = 3*v, -r + 37 = -0*v + v. Suppose 0 = -2*f - r + i. Sort 0, f, -8 in descending order.\nAnswer: 0, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**4 + 934*i**2 - 5*i - 219255?\nAnswer: -4*i**3 + 1868*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069 = 67*c - 319 - 153 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-16 + -7 + 32 + (-1 - 15))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/11 + 0 - (-6)\/(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4*b + 7*b)*(9211*b**4 - 9209*b**4 + 25*b**3 + 17*b**3).\nAnswer: -4*b**5 - 84*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 5*c**2\/2 - 388. Let j(f) = 17*f**2. What is a(j(u))?\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 2. Let y be x(3). Suppose 2*c = -4*n + 8, 0*c - 10 = 3*c - 5*n. Let u be (-1 + c)*35\/y. Put 9, u, -3 in increasing order.\nAnswer: u, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -18, 40.\nAnswer: -18, -1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22300093 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 891\/4 - 3\/8*i**2 - 171\/8*i = 0. What is i?\nAnswer: -66, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -46, 0.21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6495*o + 212*o**4 + 6491*o - 2*o**2 - 12989*o as f*o**2 + l + v*o**3 + m*o + a*o**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 379 - 116. Suppose -3*z - q = -1361 + s, -732 = -2*z + 2*q. Suppose 0 = 5*u + 7*h - 3*h - 574, -3*u + z = -3*h. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 68*v**2 - 10. Let m(b) = -17*b**2 + 2. Give -9*m(g) - 2*w(g).\nAnswer: 17*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9263654 and 3.\nAnswer: 27790962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -4 + 2 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22236, -22125, -21890, -21489, -20880?\nAnswer: -20021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 - 2*o - 38. Let x(h) = -20*h**2 - 5*h - 112. What is 11*q(i) - 4*x(i)?\nAnswer: 3*i**2 - 2*i + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -807\/2 + 357. Let j = 7\/86 + -745\/172. Calculate the common denominator of s and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66\/43 + 1691\/215. Let y = 24\/7 + -55\/14. Let f = m + y. Find the common denominator of 65\/16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21353557.5 to the nearest ten thousand.\nAnswer: 21350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-203)\/(-87) - 6\/(-9). Suppose 2*j - 36 + 1 = -3*s, 0 = j + 4*s - 30. Sort j, p, -1 in increasing order.\nAnswer: -1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2668978 is divided by 10762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8356, 8350, 8344, 8338, 8332?\n\"Answer: -6*r + 8362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454709333, 909418665, 1364127997, 1818837329, 2273546661, 2728255993?\nAnswer: 3182965325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsrslsr. What is prob of picking 1 s and 1 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(130) - sqrt(130)) + 1*sqrt(130)*3)\/(((sqrt(70) - -2*sqrt(70))*6 - sqrt(70))\/sqrt(7)).\nAnswer: 5*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 28*x - 69. Determine c(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 114, 227, 340, 453, 566, 679?\n\"Answer: 113*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*2\/3*(-6831)\/(-45540)*20\/(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106636, -428196, -964130, -1714438, -2679120, -3858176, -5251606?\n\"Answer: -107187*o**2 + o + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 130.01. Let f = 0.29 + 0.22. Let m = a + f. Round m to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n + 8*n**4 - 14*n - 2*n**4 + n**4 + 3*n**4 + (4*n**3 - 3*n**3 - 2*n**3)*(-n + 1 - 1) - 2*n**4 + 2*n**4 - 2*n**4 + 2*n**4 - 5*n**4 + 2*n**4.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 30\/3*1 + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = 2*q + 1, -4*q + 5 = -5*m. Solve m*j - 10 = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15258999 divided by 1.\nAnswer: 15258999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1729*m + 2*m**2 - 1729*m + 0*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.32379 and 1.19.\nAnswer: -12.2853101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**6\/l)\/l**(-13))\/(l**5*l**(-4\/3)))**(-14) assuming l is positive.\nAnswer: l**(-644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + a - a + (2*a + 4 - 4)*(0 - 1 - 3))*((-2 + 1 + 2)*(4 + 4 - 7) + 1 - 2 + 0 - 5 + 7 + 0 + 0 - 1 + 0 + (2 - 2 + 2)*(2 - 4 + 0)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168178, 168811, 169444, 170077?\nAnswer: 170710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 2, -4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 7. Is (u\/9)\/((-2)\/399) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91432159 is divided by 5568.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 10. Let v = u + -6. Suppose -3*f = v*n - 6 - 8, 3*f + 3*n = 18. Solve -f*r + 0*r = a + 2, 8 = 4*r - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10*(-85)\/(-34). Let p(l) = -7 + 7 - l**2 - l**d. Let j(o) = -9*o**2 + 2 - 2. Give p(j(f)).\nAnswer: -162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3741*t - 22678 = -572*t + 113589 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p. Suppose 2*b = -2*b - 12. Let n be l(b). Solve 0 = 3*g - 5*t + n, -2*t - 3 = -4*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - ((-4)\/20)\/((-3)\/(-54)). What is the nearest to -1 in h, 0.01, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1862298 - 1850950.406. Let b = 11357 - x. Let n = 9.4 - b. Round n to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2) + 3*1. Find the second derivative of 0*y**2 - 8*y - 2*y**s + 6*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 10 = -3*o. Differentiate 16*t**3 - 19 - 45*t**o + 14 wrt t.\nAnswer: -87*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5982?\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 43953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 2, -0.1, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + d = 2*d - 66, -2*r + 138 = 5*d. Let o = -29 + r. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/3)\/(1\/(-259)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/6)\/((-1)\/(-2)). Let m be (w\/(-3))\/((-1)\/3). Suppose -3*n = -2*n - 5*q - 5, 0 = 4*n + 4*q + 28. What is the nearest to m in 3\/4, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52952 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 334 or 333?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/168*(560\/8)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 1, 0, -3, -20 in increasing order.\nAnswer: -68, -20, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307 + -21.6.\nAnswer: -328.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**2 + 42*v**2 + 62*v**2 - 97*v**2.\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**45)**(-4\/7) assuming d is positive.\nAnswer: d**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**2 - 29225 + 29225.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3255 and -103\/3255.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22484*a**2*i + a*i - 32*a - 4*i - 1 wrt a?\nAnswer: -44968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1081*b**3 + 6 - 2*b + 755*b**3 - 534*b**4 + 328*b**3 in the form x*b + t*b**2 + m*b**4 + l + z*b**3 and give m.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 12 = -b + 5*d, 3*d = 5*b - 24. Let s(a) be the first derivative of -4*a - 11 - 5\/2*a**2 + 1\/3*a**b. Give s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/32766160 and 33\/7.\nAnswer: 32766160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2)\/(-11 + 5 + 5). Solve -2 = -2*n - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = -w. Let m(l) = 49*l**2 - 5*l + 12. Let j(i) = -50*i**2 + 4*i - 11. Let n(v) = w*m(v) + 5*j(v). Differentiate n(k) with respect to k.\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.76\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1034 and 71\/66?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u. Suppose u = z - 2*t, -3*t = 4*z - 4*t - 28. Let x be (10\/8)\/((-2)\/z). Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2633*y**4 + 922 wrt y.\nAnswer: 10532*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 15*q**2 + 25*q + 19. Is l(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 10\nAnswer: 139\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.9 and 1.42677?\nAnswer: 2.47323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*y + 2, -y - 8*l + 7*l - 2 = 0. Solve y = -787*a + 801*a - 42 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 4*k - 1. Let p be c(4). Let o = 5 + p. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - k - 35 = 0, 3*k = -0*k. Let q = x + 4. Let t = q + 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1\/(-2))*2. Suppose 0 = 5*s + 4*f - 4033, -j*s = -s - 4*f - 1630. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 851.425 + -171.8. Let p = -676.624998 + q. Let a = -3 + p. What is a rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 90*s**3 + 4*s**2 + 3*s. Calculate i(-1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)*2*-3)\/(2*sqrt(1210) - (-6*2*sqrt(10) - sqrt(10))).\nAnswer: -24*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/6 + (-1)\/2. Let q be 3\/(10\/(-8) + n). Suppose 0 = -q*u + 2*u + 20000. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p = -69*p - 498. Let z = p + 544. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*t - 3642*t - 2752*t - 286*t - 311*t.\nAnswer: -6771*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28 - 4*n + 28 - 16*n**5 + 18*n**5 - 6*n**3 + 10*n**2 - 2*n**4.\nAnswer: 2*n*(n - 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/25)*(n*n*n**44*n)\/n)\/(n**(-2\/57)*n**(-35)) assuming n is positive.\nAnswer: n**(115589\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -39*s + 501. What is the units digit of u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s + 7. Let p = -4.5 + 4. Sort -1\/7, p, s.\nAnswer: p, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**2 - 6*a. Let m be (-1517)\/82 - 6\/(-4). Let x(q) = 16*q**2 + 21*q. Let s(c) = 15*c**2 + 22*c. Let h(d) = -4*s(d) + 5*x(d). Give m*n(w) - 6*h(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1 = 4*k, 31*k = -3*s + 27*k - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 303221?\nAnswer: 303221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23330, 46701, 70084, 93479, 116886, 140305, 163736?\nAnswer: 187179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrytryaarary. Give prob of sequence ytay.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 13*a - 7. Let h be q(12). Suppose 5*p - 30 = p - h*i, 0 = 3*i - 6. Suppose 602 - 1767 = -p*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/5 - 8*k**3\/5 - 4*k**2 + 24*k\/5.\nAnswer: 4*k*(k - 3)*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4288 (base 12) to base 11\nAnswer: -5540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.4 (c) 3 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15))**(-9)\/(a*a**(-1\/9))**(-12\/17) assuming a is positive.\nAnswer: a**(-146\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376*u + 30*u**3 + 723*u - 377*u wrt u?\nAnswer: 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21176?\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43 * 0.09.\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8736 + 43367. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -102719692328686.\nAnswer: 102719692328690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171.21 and -7.\nAnswer: -1198.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19448*h = -19624*h + 3872 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 16*w - 18*w = -2, 5*f = -3*w + 55 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (16 - 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12064*d - 16344 = -12291*d for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33975115547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120204266 divided by 91.\nAnswer: -1320926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (0 + 1 + 2 - 9 - (-34 + 35)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 8. Calculate j(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 2. Let v(d) = 1. Let g(m) = -p(m) - 6*v(m). Let f be -4*(0 + 3)\/(-3). Is 27 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d + 0*d - 11*d**3 - 4*d + 8*d**3 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.2, 0.1, -3\/2, 26.\nAnswer: -3\/2, -0.2, 0.1, 0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + 0.18. Which is smaller: w or 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 7*g + 485. Is d(30) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649 + 1343\/2. Let f be ((-308)\/42)\/(1\/(-3)). Let m = b - f. Put m, 1\/3, -4 in increasing order.\nAnswer: -4, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.85\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261*z**4 + 34*z**4 + 64 - z**2 - 19*z**4 + z**2 wrt z.\nAnswer: -984*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/9450 and 79\/3240?\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (6 + -10 + 14 - 11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 517530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 + 29*d**3 - 95*d**2 - 125*d = 0?\nAnswer: -1, 0, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2172*z + 925032 = -2164*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*y - 28 = -329*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.7 - 0.3. Let g = -1.2 + -0.4. Let l = 2.4 - g. Which is the third biggest value? (a) m (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -2\/3, -2, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 7*a. Let s be h(7). Suppose s = -2*n - 1 + 9. Suppose -5*o + 63 = -4*f, -n*f = 2*o - 0*f - 14. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71393554?\nAnswer: 2, 35696777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1611*1.\nAnswer: 0.1611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8924 to two dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61708024 divided by 6.\nAnswer: -30854012\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from iymmimmyaymymcymyym.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6310.998kg to micrograms.\nAnswer: 6310998000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19809759?\nAnswer: 3, 223, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131741215733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-6)\/(-8)). Suppose -2*p + 5*p = -t + 13, -3*p + 23 = -4*t. Sort p, 3, w.\nAnswer: w, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8018967391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -552 and -175.3122721.\nAnswer: -727.3122721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 9. Let h be (2\/6)\/((-9)\/(-54)). Suppose -3*d + 69 = h*k, 4*k + 16 = o*d - 53. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3830)\/(-12) - ((-39)\/18 + 2). Let q = n - 318. Which is the nearest to 1\/13? (a) 4 (b) q (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30152518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k**2 + 90*k**3 - 75*k**2 + 43*k**2.\nAnswer: 90*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 0, 2*q - 20 = -2*j - 2*q. Let n(m) = m**2 + 2*m - 6. Let a be n(j). Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 234110?\nAnswer: 234113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3914287*f - 7*f**2 - 9*f**3 + 7 + 3914287*f)*(91 + 5*f - 91).\nAnswer: -45*f**4 - 35*f**3 + 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 434.8 + -432. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2301 + -11686\/5. Let d = m + 1619\/45. Sort d, -2\/5, 1\/3 in ascending order.\nAnswer: -2\/5, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-180) + ((-223)\/420 - (-2)\/5).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38033 + 121*l**2 + 38033)*(-3 - 7 + 4)*(0 - 1 + 3) in the form c*l**2 + a + z*l and give c.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - w + 2. Suppose 3*p - 33 = 6*p. Let m(f) = 8*f**2 + 4*f - 5. Let q(i) = p*u(i) - 4*m(i). Let k be q(7). Solve 0 = 3*z + z + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442242 and 7821.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 17*o - 5*v - 20 = 0, 2*o = 5*o - 2*v - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496.67 + -497. What is the closest to r in 0, 8\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let j(w) = -2*w**3 + w**2 + 31. Let k be j(g). Suppose k - 3 = 7*v. What is the smallest value in v, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from jjgooogggggogogojjg?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 - (-12)\/10. Suppose 3 = 2*q - s. Let n(x) = -x + 2. Let b(t) = 1. Let a(z) = b(z) + n(z). Determine a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2)*2*6 + sqrt(2) - sqrt(20)\/(-2*sqrt(10))) + 2 + sqrt(128) + (-4 + sqrt(128))*-2 + sqrt(128))**2.\nAnswer: 270*sqrt(2) + 929\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -15.726?\nAnswer: -7.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -97. Suppose 1 = -2*a + 5. What is the smallest value in 1\/3, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 35086?\nAnswer: 70172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -51*d**3 + 99*d**2 - 75*d + 27. Let a(n) = -7*n**3 + 14*n**2 - 11*n + 4. Let s(r) = 15*a(r) - 2*w(r). Factor s(z).\nAnswer: -3*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (96 - 2)*(0 + (-3)\/(-6)). Suppose 2*v - m = 2*w + 145, 5*w = 4*v - 381. What is the greatest common divisor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 437*h**3 + 2*h**2 - 2*h - 1. Let r be 3\/1*(-8)\/(-216)*9. What is the tens digit of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 171. What is the remainder when ((-84)\/(-18))\/(-7)*174\/p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 76 - 39 - 45*a**2)*(2*a**3 - 5*a**3 + 0*a**3).\nAnswer: 135*a**5 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 2*c)*(-7*c**2 - 4 + 4)*(-3*c - 4*c + 6*c) in the form l*c**3 + b*c + f*c**4 + h*c**2 + w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 - 2 - 9 - 2*k**2 + 9 as y + i*k**2 + p*k**3 + c*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) 3802 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -23, -0.11, -0.9, 1, -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and -1997533090.138.\nAnswer: -1997533076.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017333 to 6 dps.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 72*j**3 - 192*j**2 + 2560*j + 12288.\nAnswer: -4*(j - 6)*(j + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651 divided by 4928.\nAnswer: -93\/704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1. Let r(t) = 1. Let h(l) = -4*c(l) + 5*r(l). Let j(b) = b - 1. Suppose 3*x - 32 = 2*u, 2*u - 184 - 8 = -25*x. Calculate u*h(d) - j(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-6 + -7 - -7) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7874*0.5.\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdd when three letters picked without replacement from {d: 3, u: 1, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1008*y**3 + 2*y - 1. Suppose 5*r = 2*z + 11, -2*r = -5*r + 2*z + 9. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206 + 6132?\nAnswer: 6341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.7908364 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4948 + 150*k**4 - 4948)*(-12*k + 18 - 18) - 2*k**3 + 0*k**4 - k**5 + 0*k**4.\nAnswer: -1801*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*g + 198*g. Sort 4, -1, g, -5.\nAnswer: -5, -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*q + 1508 = 158*q. What is the remainder when q is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/7 - 354*i**4\/7 + 9206*i**3\/7 - 55782*i**2\/7 - 140608*i\/7 - 10752 = 0 for i.\nAnswer: -1, 16, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = g, -3*g + 6 = 4*p - 5*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 9) in base 8?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o**7\/7 + 39*o**4\/4 + 2710*o**3\/3 + 2356. Find the third derivative of j(f) wrt f.\nAnswer: -360*f**3 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3495 (base 14) to base 8\nAnswer: 21673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-12))\/(30\/(-720)*176)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 399, 397, 395, 393, 391?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32576\/63 - -4718\/9. Find the common denominator of n and -32\/991.\nAnswer: 6937","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.3. Let l = -4 - -2. What is the nearest to i in l, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3772 - 5?\nAnswer: -3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*m - 114. Suppose -m*h - 540 = -21*h. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4618 * -3\nAnswer: -13854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 8*l**2)*(-20 + 15 + 36).\nAnswer: 248*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82, 341, 842, 1639, 2786, 4337?\n\"Answer: 9*h**3 + 67*h**2 - 5*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*a. Let k be 0\/(0\/(-2) - -1). Let s(q) = q**2 - q + 5. Let z be s(k). Solve 0 = z*t - 4*t - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/15 + 506*b**4\/3 - 9358*b**3\/5 - 506*b**2\/3 + 28072*b\/15 = 0?\nAnswer: -1276, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.24 + 0.24. Let a = j + 2.98. Let c = -0.02 - a. Is c bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 + 45 - 45)*(-1 + 21*w - 55*w + 101*w).\nAnswer: 201*w**5 - 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661728, 661726, 661722, 661716, 661708, 661698, 661686?\nAnswer: 661672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkllnkn. Give prob of sequence kl.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuw. Give prob of sequence wwu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*l - 0*l - 60, 2*l + 135 = 5*g. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 47*i**2 - 26*i - 3. Let y(v) = 21*v**2 - 12*v - 2. Let k(m) = 9*y(m) - 4*z(m). Determine k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 202.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/329)\/(45\/(-21)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - 3*o, 0*o - 7 = 4*x + o. Let n(t) = -11*t - 3. Does 19 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 0.4. Let r = -0.08 - 5.92. Let q = r + 8. Sort q, a, 0.4 in decreasing order.\nAnswer: q, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3262 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p - 2*p. Suppose 5*n + p*d - 71 = -11, -4*n + 2*d + 24 = 0. Suppose 4*s + n - 72 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -3. Suppose j = -20*n + 17*n. Let t be (2\/(-5) - 0) + (-35)\/n. Solve w + t = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*v - 302 = 601 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1692657, 1692656, 1692655, 1692654, 1692653, 1692652?\n\"Answer: -t + 1692658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -c + 63 - 82, 12 = 3*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -28. Suppose k = -h + 1. What is the units digit of 54 - (3*-2)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-2 + (-5*sqrt(12))\/sqrt(6).\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 8*y - 40. Let x be i(12). Solve 4*g + 4*k = x, g - 8*k - 2 = -3*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -519 + 480 - (-1 - 43).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - 12525?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8 - 3\/12)\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 5965740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22848 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/30 - h**4\/8 - 6*h**2. What is the second derivative of c(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 53\/(-5) + 8\/(-20). Let v = 9 - z. Suppose 50 + v = 2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2 + 27*x - 16*x - 6*x - 8*x. What is the remainder when 5 is divided by h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1063, 4194, 9413, 16720, 26115, 37598?\n\"Answer: 1044*j**2 - j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*s)*((s - 4*s + 2*s)*(-23 + 21*s**3 + 23) - 3*s**4 - s**4 + 3*s**4)*(-5 - 2 + 6).\nAnswer: -66*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 11*t**2 - 24*t + 7. Calculate f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 38*n**2 - 2 + 588*n**2 + 10*n + 34. Let x = 79 + -87. Let r be l(x). Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962*(1199\/330 - 4\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -366 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(0 + (1 - 0)). Let z be h - 3 - -4 - -5. What is the derivative of -3 + 4 - 6 - 8*f - z wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:03 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241\/2 or 4\/327?\nAnswer: -241\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y**2. Let s(u) = -55509*u. Determine x(s(i)).\nAnswer: -70868728863*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -3231 - 1269. Let x = b - 215. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(980) + 1 + sqrt(1620)*1).\nAnswer: 9 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose j + a - 6 = 0, j + n*a - 2 = 6. Suppose 7*b = -9 + 107. Calculate the remainder when b is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 0.5 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2, -1, 264 in increasing order.\nAnswer: -1, 0, 2, 4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*j + j - 3380 = 0, 3*b - j - 2026 = 0. Let r = b + -286. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.131 at most as big as 58510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049213 is divided by 262240?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 3. Let a(n) = -3*n + 2. Let t(o) = 3*a(o) + 2*d(o). Let y(w) = 2. Let u(b) = b + 3. Let h(x) = -2*u(x) + 3*y(x). What is t(h(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*-1*(2*sqrt(11) + sqrt(11)).\nAnswer: -15*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h - 2*h + 15*h + h - 4. Suppose 0 = -m + 1 + 2. Calculate the remainder when i(m) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -73, 13187, 300?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4758348.869 - 3.\nAnswer: -4758351.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let j be 12\/(-9)*12\/(-8). Let i(y) be the second derivative of 0*y**2 + j*y + 0 - 1\/6*y**3. Determine i(d(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 + 0) - (-1 - 322). Let a(t) = 9*t - 16. Let b be a(4). Suppose -3*w + x = -5*m - b, 2*w + 2*m - 240 = 0. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 3*h**2 - 2*h - 1. Let k be m(-4). Let q be 2\/k - 2\/9. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = p, 0 = 2*q - 0*q - 5*p - 17. Let v = 10 - q. Differentiate -1 + 5*c**2 - 5*c**2 - c**v wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31213102332 + -11?\nAnswer: 31213102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - (-7)\/2. Let d = 0.5 + -5.5. Suppose -3*b + 10 = -2*j, -3*j = 3*b - 2*j - 4. What is the closest to b in -0.2, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7573 - 7245.22. What is v rounded to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/4 + 5*j**3 - 33*j**2\/2 + 67*j. Solve q(u) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3830417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 25 = 5*z, -91*z = 4*n - 87*z + 4 - 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 7*q + 98. Which is greater: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.4328 - -7.34. Round o to 3 decimal places.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.65652924?\nAnswer: 3.2826462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12122200112 (base 3) to base 15\nAnswer: 22ea8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/10)\/(2 + 4). Let s be 21\/(6*(-1)\/(-4)). Let l be 10\/s - 4\/(-14). Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and -5\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:20 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92362759 smaller than 92362757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x + 32. What is the tens digit of t(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -1\/6*d**3 + 1\/8*d**4 - 2*d**2 + 0 + 0*d. Let u(i) = i**3 + 4*i**2 - 5*i + 2. Let c be u(-5). Determine g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/3 + 30 - 1. Suppose -3*z - 2*c - 55 = 3*c, -c = -1. Let d = z + j. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 3*y + 11*y)*(-1 + 4 - 5) + (63*y + 54*y - 23*y)*(1 - 5 + 3) + 0*y + y + 0*y to c + w*y and give w.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45 and -948078211.\nAnswer: -948078256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-5)*(-27)\/(-54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18444563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 7:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -119*y - 43. Determine q(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9329 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 9 - 7)*(-2 + 0 + 1)*(22 - 22 - 7*u) to a*u + b and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 9*q**2 - q + 12. Let a be p(9). Let r be 3\/(-9) - (-84979)\/a. Let j = r + 71674. What is j rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (12 - 3) - (2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*j**4 + 33*j**3 + 2752*j**2 + 2*j?\nAnswer: 936*j + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 22. Let n be w(13). Let t be (-4 - -8) + n - 0. Suppose t = 7*h - 14 - 7. Solve -2*s = h + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3507 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + ((-4)\/(-1) - (7 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) - (-30)\/(-7). Let v(j) = j**3 + 5*j**2 + 4*j. Let t be v(f). Suppose o + 2*u + 8 = 0, u + 4 + t = -4*o. Solve -l = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. Suppose -1172 = u - w*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65856 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 55. Suppose n - 18 = -u, 3*u = -3*n + 7*n + o. Calculate the greatest common divisor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let p = -275 + 275.1. What is the nearest to r in p, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1526269862 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:03 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -206945363 to the nearest ten thousand.\nAnswer: -206950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4260000 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-652*v**2 - 559*v**2 + 136724*v - 136726*v)*(-5*v - 5*v + 2*v + (-v - v + 0*v)*(-3 - 1 + 5)) to w*v**2 + n*v**3 + t + h*v and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325281 - -12.\nAnswer: -325269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36605053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 31 + 14 + 4 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(5\/((-14)\/((-280)\/(-15)))).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*r**4 + 7*f*r**3 + 69*f + 4*r**4 + r**2 wrt r?\nAnswer: -24*f*r + 42*f + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56589, 113235, 169879, 226521, 283161, 339799, 396435?\n\"Answer: -h**2 + 56649*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.111 + -3.889. What is the closest to l in 0, 4\/5, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**17\/((r**0\/r)\/r)**(9\/5))\/(((r**(-1\/10)*r)\/r)\/r**6*r**(-2\/13)*r*r**(-3\/8)*r) assuming r is positive.\nAnswer: r**(1563\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -537, -787, -1019, -1227, -1405, -1547?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-3) + (-10)\/30. Solve c*z + 0*z = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -30.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2*o**6\/15 + 7*o**5\/5 + 5*o**4\/3 - 14*o**3\/3 - 12*o**2 + 5*o - 4. Factor v(i).\nAnswer: 4*(i - 1)*(i + 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6) + -3 + (3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, g: 1, k: 6, d: 7, y: 2}. What is prob of picking 2 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4200 = 34*r - 9*r. Let o be (-6)\/(-1)*14\/r. What is the nearest to 9\/8 in -1\/5, 4, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -5*f + k + 64, 0 = 5*f - 4*k - 245. Let r = 633 + -535. What is the highest common divisor of r and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255 - (12 + 174 + -49)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243146847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + o + 2. Let a be w(-1). Suppose 0 = -c + 5*q - 25 + 151, 3*q + 15 = a. Let t = c + 206. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000076039 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9908 + -19673. What is the remainder when (0 - -1)*1*k\/(-45) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2. Let k(r) = -10*r + 9. Let u(f) = -f. Let s(x) = -k(x) - 3*u(x). Let p(l) = 6*l - 4. Let t(c) = -9*p(c) + 4*s(c). What is v(t(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.32, -0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Suppose 4*p = -4*t + 76, -p = -5*p - 3*t + 80. Suppose -67 = 11*z - p. Which is the smallest value? (a) u (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-9 + (-3 - -2)). Let x = 8 + -8.02. Let a = 0.04 + x. What is the third biggest value in a, c, 4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.5 + -25.575. Let t = 0.025 - x. Are 7\/16 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 26674715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57.7? (a) 1\/2 (b) -0.2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - (-18 + 17)) + 11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8242737 to the nearest integer?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25326 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 731.3388mm?\nAnswer: 731338800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q + 12. Let z be h(8). Let r = z - 12. Suppose r = -3*m + 1 + 5. Solve 3*n + m = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)*v)\/(v*v\/v**(-9))*v\/(v*v\/v**(-8)*v)*v**(6\/13) assuming v is positive.\nAnswer: v**(-977\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1214597*a + 2393832?\nAnswer: -1214597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 3822382?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82934.59 litres?\nAnswer: 82934590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, -1\/10, -0.0387, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w**2 + w)*(-6*w**2 + 0*w**2 + 3*w**2) - 26*w + 2879 - 2879 - 2*w**4 as y + h*w + t*w**2 + k*w**4 + n*w**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20, -4*d + 5*c = c + 120. Let b = 62 + d. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1220512986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -79 + 19 + -22?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(3\/18). Let k be ((-132)\/90)\/(1\/b). Suppose -17*c + 3*n - 22 = -15*c, -n = 5*c + 21. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 6166741?\nAnswer: -6166741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1643 or -19204?\nAnswer: -19204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 1, b: 1, n: 2, t: 1}. What is prob of picking 1 t and 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7038798 - -7038210.9114. Let w = b + 0.0886. Let g = 553.7 + w. What is g rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5642, 2036, -1572, -5182, -8794, -12408, -16024?\n\"Answer: -s**2 - 3603*s + 9246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37072 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6072 by 66.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2 - 4 = 0. Let d be f - (-1 + (1 - 2)). Suppose d*y - 48 = 3*j, 4*y - j = 39 + 34. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -151*g**2 + g - 15. Let i be b(-1). Suppose 137 = 8*h - i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqiqlidd. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142262 (base 7) in base 10?\nAnswer: 262537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*n**6 - 23*n**2?\nAnswer: 24000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose f = -2*z - z + 15. Suppose 20 = z*x + 4*n, -2*x = -2*n - 14 + 6. Solve -4*c = -c - g, x*g = 5*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98087.229 to the nearest one thousand.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5954854 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 3*q**2 + q**2)*((-2 + 0 + 0)*(2*q + 0*q - 3*q) + 3*q - 3*q + 2*q + (-1 + 3 + 1)*(-4*q + 2*q + 3*q)).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13120 and 12710?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6*z - 5)*(-3 + 0 + 2)*(-3*z**2 - 12*z**2 - 2*z**2) + (-4*z - 3*z + 5*z)*(-z**2 + z - z).\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2\/11, -12, 720\/43 in ascending order.\nAnswer: -12, -5\/4, 2\/11, 720\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 705 + 1674. What are the prime factors of o?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*(-15)\/6*-2. List the prime factors of 1\/((-181)\/(-267) + u\/3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*b**4 - 9801*b**2 + 237452*b + 2?\nAnswer: -1224*b**2 - 19602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 91\/156*24\/63\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1)*10\/20 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 12*q - 9. List the prime factors of o(-7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**2 - g + 115. Let d(m) = -7*m + 2. Give 2*d(l) + 3*j(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6953 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 175.21.\nAnswer: -1.7521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34\/(10 + 4080\/(-410)) is divided by 141.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3add63 (base 14) to base 3\nAnswer: 10211102210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5200593 months in centuries?\nAnswer: 0.00043338275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2624 - -47333\/18. What is the common denominator of 13\/12 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.2. Which is the smallest value? (a) s (b) 0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from hofjfiikfjjffki.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 24*q - 2847 = 0. What is the highest common divisor of q and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 7*r**4\/4 - 26*r**3\/3 + 10*r**2 + 8*r + 1. Let s(p) = 0. Calculate p.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m + m**2 - 2*m**2 - 1 - 8*m - 2*m - 8*m**3. Determine p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 57. Give l(10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41873552 by 3227.\nAnswer: 12976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340 + 27. Let t = 1251\/4 + m. Which is bigger: t or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 14*x - 11*x + 12*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) 2\/1899 (d) -2\/5 (e) 14 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.58123 - -5.51. Let f = 0.076 + d. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 198, -1\/8, 24\/11, 4, -3 in ascending order.\nAnswer: -4, -3, -1\/8, 24\/11, 4, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027071919 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2486*o + 862*o - 3402*o - 3820*o + 710*o to n + c*o and give c.\nAnswer: -8136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72492487*c**2 + 92263255 wrt c?\nAnswer: -144984974*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 1 - 7*i + 2 + 2 - 2. Let u be j(-7). Differentiate -14*h - u + 14*h + 2*h**2 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-16) - 4\/(-16) - 105. Is -106 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216809166 to the nearest integer?\nAnswer: 14724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from pmqhhhqhmmhh?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w**3 + 1. Let p be d(1). Suppose 4*a - p = -0*a. Solve 0 = -3*z + 8 + a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 15389, 3 in increasing order.\nAnswer: -2, 3, 14, 15389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 282, 279, 276?\n\"Answer: -3*d + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.59307998 + -1418?\nAnswer: -1424.59307998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 10500511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 5*t - 6. Let b be c(-6). Suppose -44*l + 51*l - 252 = b. Calculate the least common multiple of l and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/180 - d**4\/18 - 101*d**2. Solve g(w) = 0 for w.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2130 (base 5) to base 8\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-19)\/(-38).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + -228. Let u(n) = -42*n. Let c be u(-1). Let h = c - d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 4379.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-17))\/(54\/612). Solve o*h = -3 + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 14. Let b = v + -4. Suppose -5*d + 28 = -t, 0 = -2*t - b*d - 0 - 4. Sort t, -4, 3 in descending order.\nAnswer: 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649.\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7908 + -1?\nAnswer: 7907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 2. Suppose 3*j = -y - 25, y = 4*j + 5*y + 36. Let p be g(j). Let z = 3\/4 + p. Find the common denominator of -11\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = 0, 2*r = -2*r + n + 2136. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 13*u + 14. Let r(a) = -2*a**2 + 26*a - 27. Let p(v) = 7*c(v) + 3*r(v). Let g be p(9). Is g >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) + 2*sqrt(600))\/((sqrt(243) - (sqrt(243) - 2*sqrt(243))) + sqrt(243)))**2 + (sqrt(200) + (1*sqrt(200) - sqrt(200)))\/(sqrt(48)\/(sqrt(12)*2)).\nAnswer: 200\/81 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-4272)\/(-536) - (-16)\/(-20)*5)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v + 418 = -1705 - 1002. Solve 0 = 11*s - v + 91 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33360?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Solve j - y = 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3345736, -13382956, -30111656, -53531836, -83643496?\n\"Answer: -3345740*h**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w + 123. List the prime factors of x(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 327\/21 + (-8)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 4*l**2 + l + 10. Let d be k(0). Suppose -d*a - 26520000 = 10*a. Round a to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/11 + 28\/11. What is the fourth smallest value in -1, f, 22, 0.5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let l(o) = 7*o + o + 6*o. Let i(w) = 2*w. Let j = 67 + -77. Let r(p) = j*i(p) + 2*l(p). Determine r(g(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-25)*3\/(-45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41509319 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/3 - 268*i + 800\/3.\nAnswer: 4*(i - 200)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 8*a - 3516 + 3528, 0 = -6*s + 5*a - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -637993*f**2 + 147417*f wrt f.\nAnswer: -1275986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7278?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*t = 12, -5*t = -4*g + 33 - 81. Let j be 3 - (-4)\/4*-13. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11110.41 - -11179. Let k = c + 0.41. Let y = -69.0057 + k. What is y rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - t**2 - 6*t + 6. Let d(g) = -3*g**3 - 2*g**2 - 13*g + 13. Let s(v) = 6*d(v) - 13*n(v). What is the third derivative of s(i) wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 + 2*b**5 - 5*b**5 + (-b**2 + 5*b**2 - 2*b**2)*(-2*b**3 - 2*b + 2*b) + 4*b**3 + 4*b**5 - 4*b**3 - 3*b**5 - 1 + 1.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2316154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/12 - 12*o**2. Let u = -2 + -5. Determine a(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a, a - 16333 = -4*k - 0*a. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1483322, 2965831, 4448342, 5930855, 7413370?\nAnswer: 8895887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527171.\nAnswer: 3, 401, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let f(x) = 4*x - 8. Let z(a) = -f(a) - 8*l(a). Let o be z(-4). Calculate the remainder when 1 + (-2)\/(-2) + o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, -1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 0*o + 0*o. Let w(u) = u. Let a(y) = 5*y. Let d(i) = -i. Let m(k) = 3*a(k) + 21*d(k). Let j(p) = m(p) + 8*w(p). Determine j(v(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-946)\/(-22) + (-4205)\/400*2?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0. Let w(j) = -85*j + 2206. Let t be w(26). What is the smallest value in 0.5, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q. Let c = -13 - -21. Let k(s) = 6*s**2. Let y(d) = -4*d**2. Let a(o) = c*y(o) + 5*k(o). Determine n(a(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.4368cm to nanometers.\nAnswer: 6884368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 35\/2*q**2 + 0*q + 5\/3*q**3 - 13. Find the second derivative of h(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40315186.\nAnswer: 2, 20157593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.976444ml to litres.\nAnswer: 0.001976444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 696880 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 9*m + 6. Let k be v(-7). Let u = k + -11. Let l be (-6)\/u + 5\/3. Sort -4, l, 0 in ascending order.\nAnswer: -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = 120. Let f = -28 - o. Suppose 5*s = 4*b + 50, -3*s + 2*b = -f*s - 10. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -144?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8874.8 - 8874. Which is the nearest to -1.37? (a) -0.3 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92\/15, -4, -1\/4, -0.004, -0.1, 5, 10?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9652281l in millilitres?\nAnswer: 965.2281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 5. Let t(k) = -19*k + 24. Let m(n) = -11*j(n) - 2*t(n). Calculate the remainder when m(-5) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -7*s**2 - 81*s - 40. Let i be a(-6). Solve 0 = -0*k + 3*k + i*y - 21, -3*k = y - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20609, -82487, -185633, -330047, -515729?\nAnswer: -742679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075298 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m**3\/5 - 571*m**2\/5 + 6639*m\/5 + 351\/5 = 0. Calculate m.\nAnswer: -39, -1\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 2. Let l(h) = -h**3 - 20*h**2 - 20*h - 25. Let q be l(-19). Determine u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -4) + 0\/(-2) + 0. Suppose 0 = -p + 3*w + 13, 14*p - q*w = 19*p - 27. What is the lowest common multiple of p and (0 + 3\/4)*4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*k = 203*k + 305 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -617932 divided by 406?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -6547*g**6\/120 - 4*g**5\/5 - g**3\/2 - 50*g**2 + 13*g. Find the third derivative of t(k) wrt k.\nAnswer: -39282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:24 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206790*q**3 - 103364*q**3 - 103326*q**3.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3911251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -17. Let t = 12 + u. Let j = 0 - -1. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594 - 391. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l*l)**(4\/9)*l**(1\/13)*((l\/l**7)\/l)\/l*(((l\/(((l\/(l\/l**(-1\/4)))\/l)\/l))\/l*l*l)\/(l*l*l\/(l\/l**(2\/5))))**(2\/3) assuming l is positive.\nAnswer: l**(-20881\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -23. Let l be -1*(y - (141 + -1)). Suppose 4*k - l = 5*m, k - 5*m = -k + 82. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 2*h + h**2. Let m(i) be the third derivative of i**6\/240 - 5*i**4\/24 - 6*i**2. Let z(d) be the second derivative of m(d). Determine z(o(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(3\/66). Let q = 11 + z. Suppose q = r - 5*r + 128. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -31, 5 in increasing order.\nAnswer: -31, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1168)\/(-48) + -24)*(1 + -2 + -32). Let i(u) = -u**2 - 2*u - 8. Calculate i(k).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -0.08, 4, -2\/7 in descending order.\nAnswer: 4, 3, 0.2, -0.08, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 3. Let l(y) = -y - 5. Let k(m) = -m**2 - 8*m - 3. Let x be k(-8). Let w be l(x). Let j be ((-2)\/w - -3) + -1. What is c(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**5\/6 - h**4\/8 + 7*h**2\/2 + 15. Let p(d) be the second derivative of g(d). What is the second derivative of p(r) wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/4 - 59*t**3\/2 + 945*t**2 + 6899*t. Factor k(w).\nAnswer: 3*(w - 45)*(w - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 + -2 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*v - 160*v - 232 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43926940 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*z - 10*z + 259 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 - 10*b. Let w be o(4). What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -71*a - 4*b - 620, -25*b + 20*b = 4*a + 28 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 20 + 5 - 56.\nAnswer: -17*a - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 66183 = 210921. Let f = c - 57095. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2458 + 8669. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) - (5 + (2*sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325))**2.\nAnswer: -2950 - 145*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328818048.\nAnswer: 2, 19, 29, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-6053183.\nAnswer: 10290411.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 100. What is the remainder when p is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663322639 and 749.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10 - 84*o + 174*o - 84*o - 11. Let x(b) = -b + 3. Let n(t) = g(t) + 4*x(t). Let d(p) = 2*p. Give d(n(z)).\nAnswer: 4*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 2, n: 1, r: 1, x: 1, i: 2}. Give prob of picking 1 i, 1 n, and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*o + 439, 0*o - 4*o + 1109 = 5*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3045380 divided by 85?\nAnswer: -35828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -14702, -3, -24 in descending order.\nAnswer: -3, -24, -14702","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 67*q - 29*q - 18*q as w + k*q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmhvnmu. Give prob of picking 1 m and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:41 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**4 + 5*l - 17. Let q be 51\/(2\/((-8)\/6)). Let k(o) = -2*o**4 - o + 3. Let z(f) = q*k(f) - 6*s(f). Find the second derivative of z(m) wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/7 - 18\/(-42). Let f be (-28)\/36 - y\/(-18). Suppose 0 = -3*b + a + 19, 5*b + 4*a - 29 = 5*a. Sort b, -3, f in ascending order.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/(-286)*(-400)\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y - 1 + y**2 + 0*y. Let l = 34 - 30. Is 9 a factor of o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*h - 10*h**3 + 148*h)*(1810*h - 4223*h + 1879*h).\nAnswer: 5340*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 137 + 185 + 29*v - 27*v.\nAnswer: 2*v + 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.173\nAnswer: 0.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + 16*f + 158085000. What is f rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:28 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/7 - 88\/7*z**2 - 62\/7*z = 0. What is z?\nAnswer: -5\/11, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**(-16\/3)*z**(-2)*z*z\/z**5 assuming z is positive.\nAnswer: z**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + z**2)*(-24 - 18 - 17)*(3*z - 7*z + z)*(2 + 1 - 4).\nAnswer: 354*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7*v = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3. Let t(b) = b + 4. Suppose 4*h - p = 24 + 67, -4*p = -2*h + 28. Let k be 10\/(-15) - h\/(-9). Determine k*t(q) - 3*j(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-5*w - w + 5*w) + w + 4 - 2 + 3.\nAnswer: 4*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -46*((-9)\/(-6))\/(6\/4). Let f = 51 + a. Suppose 2*j - 6*j = -f*o + 30, 4*o - j - 13 = 0. Solve -3*t + 15 = -4*l, o*l + 15 = -3*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 4*i + 1497. Calculate the remainder when i is divided by 189.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 23*c + 47. Let b(d) = -8*d**2 + 6*d - 1. Let n be b(2). Determine u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - (-189)\/168*416\/80?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 2.3, 14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -4*l. Let o(b) = b**3 + 2*b**2 - 6*b + 7. Let y be o(l). Let u = y + 54. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (64\/80)\/(16\/236260)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 645\/(-75) + 4\/(-10). Let m(b) = b**2 + 8*b - 3. Let h be m(y). Solve -3*l + 4*t = -1, 0 = -h*l + 3*l + 3*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23042.44 to the nearest 10.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -52*a + 1689 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 45. Let k be v(21). Which is the closest to 2\/7? (a) 4 (b) k (c) 1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 plus -0.6?\nAnswer: 485.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a - 1. Let y(h) = -h**3 + 2*h**2 + 5*h - 6. Let g(q) = 6*d(q) - y(q). Calculate g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1964333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (13 + 11 + -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-9)\/(675\/10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.1. Let n = 0.9 - g. Let r = -1 + 1.4. Which is the closest to -1\/3? (a) -1 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7536\/67 and 113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 31*r - 25. What is c(-8)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64b + 3bb?\nAnswer: a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53182057 to the power of 1\/2, to the nearest integer?\nAnswer: 7293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 499379159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 7*v**2 - 219*v + 743. Give b(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468 - 14290 = 1834*w + 12020 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-16)\/6. Let v = -2 + i. Solve -5*b = -6*h + v*h, -3*b = -h + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 - 34 - 39 + 3*w**3 + w**2 - 37 - w as b*w**2 + y*w + p*w**3 + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419651313 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: Let c be 157\/(-3*2\/(-6)). Let h = c + -107. Suppose -4*n + 83 - 3 = 0. Calculate the highest common divisor of n and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 277, 339, 447, 613, 849, 1167?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.95 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 56, 120, 240, 434, 720, 1116, 1640?\nAnswer: 2310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 + 46 - (-11259)\/12*74*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36766*w - 18382*w - 18379*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -55, -4, -23, -15.\nAnswer: -55, -23, -15, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-8))\/(-5 + 3158\/632). Let o = v - 76. Determine a, given that 3\/2*a**5 - 9\/2*a**2 - 3*a + 9\/2*a**4 + 3\/2*a**o + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6690 is divided by 1782.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c - 57*c = -150. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187156 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28 from -0.02096.\nAnswer: -28.02096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*y + 0*y - 4*y)*(2 - 4 + 0) - y + 2*y + 0*y)*(-3*y + 0*y + 2*y) in the form j*y**2 + h*y + r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j*(j*j**(3\/5))\/j)*j*j\/j**(9\/4))\/(j\/(j**(-1\/27)\/j))**(-7\/8) assuming j is positive.\nAnswer: j**(-1153\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - j + j)*(8 - 26 + 235) to r*j**2 + t*j + w and give r.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4*b**2 - b**2)*(-3*b**2 + b**2 + 0*b**2) + 0*b**4 + 4*b**4 - 6*b**4 + 7*b**4 - 5 + 5 + 2*b**4 + 0*b**4 - b**4 + 14*b**4 + 8*b**4 - 7*b**4.\nAnswer: 17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054871759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(6\/(-15)). Let j be 8\/3*(-1)\/2. Let i(s) = -2*s**2 + 2*s - 1. Let h be i(1). Which is the closest to m? (a) j (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -3*s - 15, 0 = -4*t - 2*s - 10. Suppose t = -2*q - 2*g + 1636, 4*q + 2*g + 3*g - 3272 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnjnlljnonnljnnnl. Give prob of sequence lj.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 316623280397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -27664 less than or equal to -27662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 0.694415579.\nAnswer: 3.694415579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 4*t)*(216 + 188 - 85) to the form h*t + j and give h.\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*m*r + 425*j**2*r**2 - j**2 - 24*m*r**2 wrt m?\nAnswer: 2*j**2*r - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 391795725 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r + 7 + 20*r - 6 + 85*r**2 - 36*r to v + f*r + t*r**2 and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525170 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -30. Let r = p - 11. Let l(b) = -2*b + 3. Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/54 and -22\/1209?\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 9*z**2 + 22*z - 6. Calculate s(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 23 + -18 + -2 + 57\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 477 = -0*l. Let o = -108 - l. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0 (c) -3\/7 (d) 0.198 (e) 2 (f) 3\/263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*o + 14, -6 = -3*r - o + 15. Let k = 0 - -2. Suppose -39 + 109 = k*c. Calculate the greatest common divisor of r and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -20 (c) 0.43 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-54))\/(2\/(-8)). Let n = 16.4 + -16. Let v = n - 0. Sort v, 0.2, c in descending order.\nAnswer: v, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03639 - -0.03639. Let l = 0.4 - 0.6. Let p = l + 0.5. Sort x, p, -0.3, 4 in decreasing order.\nAnswer: 4, p, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 minus 0.13?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1404105 and -113\/1684926.\nAnswer: 8424630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1386 and 342607419.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - w + 12 = 0. Let l be (-2)\/7*-3*(-7)\/w. Solve -l*s + 18 = -12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -2*f. Let j(w) = -w + 5*w - 5*w - f. Let n(r) = -7*r - 8. Let l(c) = -c**3 - 41*c**2 + 88*c + 110. Let d be l(-43). What is d*j(y) - 3*n(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2152 and 3?\nAnswer: 6456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -552 and 21.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -7 - (-8 - 20)) + -6 - -81.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose -5*h = -0*h + 30. Let z = h - -6. Solve z = o*f + 16 - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.329264m to centimeters.\nAnswer: 532.9264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142.9 + -142.89999917. What is c rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)**(-2\/17)\/(n**5\/n*n**(-1\/7)\/n*n))**(1\/8) assuming n is positive.\nAnswer: n**(-473\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -394*l + 8075. Give b(21).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13992 + 14364. What is the remainder when 385 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 30 = 2*m, 2*m + 237 - 247 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**6\/3 + 10*m**3\/3 - 6. Find the third derivative of a(x) wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/22)*w**(1\/10))**(2\/167))**(3\/7) assuming w is positive.\nAnswer: w**(18\/64295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 19*s**2 - s - 2. Let a be z(2). Suppose a = g + g. Solve 0 = 5*w + 20, -5*l - 2*w - 2*w = g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + g + 25*g - 25*g + 41 = 0, 0 = -121*f - 3*g + 2798 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -4*r, 0*r - 3*r - 15 = -f. Let j = -1 + f. Which is the biggest value? (a) j (b) 2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.6 + 112. Let t = x - -475.6. Let b = t + -504.99763. What is b rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -132*l + 114*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -156, -161, -168?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01099 - -0.04901. Which is the closest to -4? (a) 0.4 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26141482*m*s**2 + 3820*s**2 + 2*s - 22 wrt m?\nAnswer: 26141482*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 (base 11) in base 15?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*-18.53699\nAnswer: 101.953445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1207707 - -66?\nAnswer: 1207773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 7:15 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*a = 7118, -4*w + 0*a = -4*a - 9488. What is w rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 - i - 2. Let c be x(0). Let j be (-3)\/c*4\/3. Suppose -j*u = u - 54. What is the smallest common multiple of 16 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 1 + (-113 - -147) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110052 + 5352. Round l to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 - 767 = -78*h + 92 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/19, -1, 1241\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 901?\nAnswer: -3\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(34))\/(sqrt(162)*1).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*o**4\/5 - 9764*o**3\/5 - 393824*o**2\/5 - 1620304*o\/5 - 788544\/5 = 0. Calculate o.\nAnswer: -74, -4, -9\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 190800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -427.86.\nAnswer: -427.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -224?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 1\/2, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 7}. What is prob of sequence qdq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12481, -12474, -12469, -12466, -12465, -12466, -12469?\nAnswer: -12474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136.859 + 0.141. Let m = c - 137.00000093. What is m rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(90)\/(sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(5)))\/(sqrt(225) + (sqrt(225) - sqrt(225)*-1) - sqrt(225) - sqrt(225)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let g(f) = -7*f**2 - 5*f + 6*f - l*f - f. Let k(m) be the second derivative of 5*m**4\/6 + m**3\/2 - 994*m. Calculate -7*g(w) - 5*k(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -651 - -654. Sort h, 0, -5, 19 in descending order.\nAnswer: 19, h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 9\/198*-11*(0 + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*g = -2*n + 16, 4*n - 16 = -3*g. Calculate the least common multiple of n and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1351*t**2. Let k(d) = -5*d. What is u(k(i))?\nAnswer: 33775*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2575*y - 20610. Let n be g(-8). Let l(m) = -m**3 + 6*m**2 - 6*m + 5. Let v be l(5). What is the nearest to v in 0.4, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348266, 348257, 348248, 348239, 348230, 348221?\nAnswer: 348212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.097332 seconds?\nAnswer: 6097332000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4763*c**3\/3 + 1976*c**2 + 8947. Find the second derivative of a(o) wrt o.\nAnswer: 9526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = 5. Calculate the remainder when 92 is divided by (k\/(-10))\/((-2)\/(-96)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94082 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -51?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + w = 153, 4*r - r = 4*w + 235. What is the remainder when 228 is divided by r?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 - 586450*k + 1171808 wrt k.\nAnswer: -4*k - 586450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318392 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5200187 is divided by 3112.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147723083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllqqlq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4938.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-15)\/(-63)) - ((-1014)\/39 + 35)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.72, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71288729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7542.41, -8, 5 in decreasing order.\nAnswer: 5, -8, -7542.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*d = -57*d + 2534 + 322 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-250)\/275*11\/(-4) - (-252)\/(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -155, -167, -183, -203, -227, -255?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -729 + 144. Calculate the highest common factor of 1105 and f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 11. Suppose 0 = -p - 2*p + 33. Let y(l) = -2*l + 13. Let z be y(p). Let a = z + -1. Determine g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*d + 55, -26 = -t - 2*d - 2*d. Suppose -z + 3*z - t = 0. Determine i so that 7*i + 19*i**2 - 15*i**2 - z*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2012\/(-14)) + 1. Let h be (-2 + 5991\/(-6))*(-406)\/(-2940). Let a = s + h. What is the common denominator of 73\/8 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238*m + 120*m + 126*m + 10*m - 98 + 98 + (4 - 1 - 4)*(-m + 1 - 1) to the form a*m + x and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrvtnrr. What is prob of picking 2 r?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159811\/324369 - -1\/14103. Let x = -261 - -8632\/33. What is the common denominator of x and j?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14695 is divided by 372?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2836263443 + -2836263343.00000098. Let c = -22.3 - -122.3. Let a = o - c. What is a rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from kkpkvkwkkkt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -10397030 rounded to the nearest 10000?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**2 + 4*s**2 - 34*s**2)*(50*s**3 - 172*s + 364*s - 194*s).\nAnswer: -1950*s**5 + 78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d + 5. Let q be 4\/22 - d\/(-11). What is the third derivative of 3*a**3 - 3*a**3 + q*a**3 + 3*a**2 - 2*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:39 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 343\/(-196)*(-1)\/7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 12095400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0 + 0*n**3 - 3*n + 0*n**2 - 1\/6*n**4. Let j(k) = -k**2. Let v(p) = -5*p**2. Let c(f) = 6*j(f) - 2*v(f). What is u(c(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -7*t**6\/40 - 3*t**5\/5 - 3*t**4\/8 + t**3 - 5*t**2. Factor r(f).\nAnswer: -3*(f + 1)**2*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5746, -13199, -22356, -33217?\nAnswer: -45782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 25 = 5*j - 0*a, a = -5. Suppose -v + 1 = h, 5*h + 3*v - 1 = -0. Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 26 = 3*k. Calculate the lowest common multiple of k and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*l - 5*l, -3 = -4*q - 3*l. Suppose -5*d = 0, x - 4*d = -0*d + q. List the prime factors of 13 + x\/(-3) + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 12. Let y be (-120)\/65 + 2 + 121\/143. Solve -z - 4*r + g + 3 = 0, -z + 3*r = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 12*n**2 + 12*n - 13. Let w be f(-13). Suppose q + 5 = 4*z, 5*q + 3*z + 5 - 3 = w. Is 3 a factor of (q - (-1 - -2)) + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -345 and 0.046 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -30709295, 1, -2 in decreasing order.\nAnswer: 1, -2, -30709295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.05 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/9 - -28\/9. What is the nearest to 0.1 in 5, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let z = 220 - 220.3. Which is the second smallest value? (a) z (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 7788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skssosokoksksokoog. Give prob of picking 3 o.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (1 + sqrt(612) + sqrt(612) - -3*sqrt(425))**2 + -2*(4 + (sqrt(2057) - (sqrt(2057) + -1 + sqrt(2057)))**2)).\nAnswer: -24804 - 294*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1590 and 23106?\nAnswer: 6123090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a92b2 - -1?\nAnswer: -6a92b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-k - 2*k - k)*(0 - 2 + 4).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/112 - (-1)\/((-16)\/90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**39\/(f**(2\/5)\/f*f*f*((f**(-8\/3)*f)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(4\/(-101)))\/(1\/1).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*-1*(4 + -6). What is the third derivative of 112*o**2 + 2*o**5 + 0 + 0 + 2*o**4 - 110*o**l + 76*o wrt o?\nAnswer: 120*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4 + 9 + 5 + 0*d + d. Suppose 20 = 2*x + 2*y, 2*y = 6*y - 16. Calculate the remainder when 31 is divided by w(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -79746*i**2. Let d(u) = u**2. Give z(d(x)).\nAnswer: -79746*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*a - 20. Let u = a - 18. Suppose 2*n + 9 = -3*r - 2*n, -u = 5*n. Put r, -5, -3 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 28. Let i(b) = 7. Let d(n) = 9*i(n) - 2*j(n). Let h be d(2). Calculate the highest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:53 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5966*a**3 + 5319*a**2 wrt a.\nAnswer: 35796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2. Suppose -7*l + 17*l = l - 34*l. Let p(i) be the first derivative of 4\/3*i**3 + l*i**2 + 0*i + 4. Give m(p(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -40*x - 60*x - 3*x**2 - x**2 + 104*x. Let i(q) = q + q - 8*q**2 + 5*q. What is 4*i(u) - 7*v(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:56 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-60)*-3*(-15)\/(-2). Suppose -2*h + d + 7 = 2, 0 = d + 1. Let l be (0\/h)\/((-6)\/j). Which is greater: 3\/2 or l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542 - -614. What is the highest common divisor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 6. Let l = 156 + -147. Calculate y(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 16\/6) + (-11)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*m - 40, -2*b + 7 = -5*m - 15. Suppose 54 = -b*i + 25*i. Solve -5*h + 1 = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 + -144. What is the tens digit of 1209\/7 + 5 + 6\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10921?\nAnswer: 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**3 - 1275 - 6*d**3 + 2555 - 1280.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0e4c (base 15) in base 2?\nAnswer: 1000000111111001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*z + 15, -k + 15 = k + 5*z. Let o(c) = 2*c**3 + 6*c**3 + k - 2*c**3 - 5*c**3 + c. Determine o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y - 2. Let l be u(-1). Suppose 1 = -m + l. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 26, 0.02, 9, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l - 9 = -2*w, 0 = -2*w + 3*l + 11. Suppose -29*y - 15*y = -34*y - 90. What is the biggest value in 1, w, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -15274, 369, 3 in decreasing order.\nAnswer: 369, 3, 1, -11, -15274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -18*v - 52*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 30 = 0. Let r = 4 - 5. Let f(s) = -10*s**3 - s**2 - s. What is the remainder when f(r) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -899 and -0.5.\nAnswer: 449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2237, 4649, 7423, 10745, 14801?\nAnswer: 19777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.66308252 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -476 and 255?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 552\/54 - (-4)\/(-18). Suppose -5*d - 11 + 1 = 0, 2*y + 3*d = w. Let q be y\/38*(-4)\/8. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0, 1332, -3\/2, 1.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273.99999767 + 274. Round s to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301922876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 + 32*l - 1318. Let g(i) = -4*i. Calculate u(g(h)).\nAnswer: 16*h**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*o - 4*j, 210*j = -2*o + 214*j - 18. Let -52\/5*r**2 - 26\/5*r + 12\/5 - 14\/5*r**o = 0. What is r?\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*z - 10 = -4*z, 2*r + 2*z = 20. Solve r*a + 3 = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5795, 5806, 5831, 5876, 5947, 6050, 6191?\n\"Answer: q**3 + q**2 + q + 5792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230208091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34633, -67190, -99747, -132304?\nAnswer: -164861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 + 0.40757144386.\nAnswer: 1584.40757144386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*3700.\nAnswer: -2590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4240*n**5 + 4388*n**5 - 8454*n**5 + (2*n**2 - 4*n**2 + n**2)*(2*n**3 - 2*n**3 - 2*n**3).\nAnswer: 176*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:16 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 413*f**2 - 19*f + 45. Let j(r) = 166*r**2 - 10*r + 22. Let g(m) = -5*j(m) + 2*t(m). Calculate g(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169011133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/262440 and -103\/97200?\nAnswer: 2624400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4157855*g + 852330?\nAnswer: 4157855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 48 = -8. Solve -m*z - 2*l + 17 = 0, 0*l - 15 = z + 5*l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let x(n) = -n**3 - 4*n**2 + 8*n + 10. Let g(m) = -x(m) - 3*z(m). Suppose c = -5*b - 21 - 21, -b = -4*c. Determine g(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*i - 53*i = -269*i - 8*i + 30444 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000000011 - -100?\nAnswer: 1000000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -352 + 703. Solve 0 = -v - 12*v + t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/5*(-10)\/1050?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 87 = -10*t. What is the second derivative of -84*o**4 + t*o**4 + 3*o + 11*o + 0 + 3 wrt o?\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*h**2 - 142*h**3 - h**2 + 24 + 6*h**2 - 30 wrt h?\nAnswer: -426*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x - 43. Let f = x + -9. Let b = f + -22. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -8. Calculate the lowest common multiple of n and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7090 or -7361?\nAnswer: -7090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 482, 29, 0 in ascending order.\nAnswer: 0, 29, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14903327, -29806711, -44710095, -59613479?\nAnswer: -74516863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 306767?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**2. Let r(n) = 362670*n**2. Give c(r(w)).\nAnswer: 1183765760100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**3 + 17 + 2*y**2 + 18*y**2 + 2*y**4 - 10*y**2 - 15 to the form c*y**4 + j*y**2 + h*y + p + s*y**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2599 + 13.28838965. Let w = 0.0285 - g. What is w rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684060 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 20101?\nAnswer: -20033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 6*a**2 - 8*a + 11*a - 8*a - a - 5.\nAnswer: -6*a**2 - 16*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 2*i + 2*i)*(1 - 1 - i) + 280*i**3 - 10996*i + 10996*i.\nAnswer: 277*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -154794?\nAnswer: -13\/77397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23312323002 (base 4) to base 7\nAnswer: -35264550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 35. Which is the closest to -2? (a) -4 (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34587345 divided by -10685?\nAnswer: -3237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1186714 + 3?\nAnswer: 1186717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 33944\nAnswer: -1\/16972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221 (base 4) to base 7.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Which is the closest to k? (a) -0.1 (b) -2\/19 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -302332030 (base 4) in base 3?\nAnswer: -101121101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -365cef (base 16) to base 6\nAnswer: -204210051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28580\/18*(-6)\/(-15). Let o = g + -634. Determine k, given that 0 + 4\/9*k - o*k**2 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -93. Let z = 64 + g. Is z > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l + 7. Let a(o) = 12*o + 8. Let h(n) = -6*a(n) + 7*k(n). Let y be h(1). Suppose -5*v - 5*z + 6 = -4, 4*z + 6 = 3*v. Solve -y*s + v*s = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23064293 - 0.23074. What is n rounded to six decimal places?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 2105264*m**3 - 277254683476*m**2 + 64762371349416*m = 0.\nAnswer: 0, 234, 263041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14036, -28035, -42000, -55937, -69852, -83751, -97640, -111525?\n\"Answer: -s**3 + 23*s**2 - 14061*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -122*b + 116. What is k(-1)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a146a2 (base 13) in base 7?\nAnswer: 43613046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*y - 49*y + 98*y + 140 in the form g + n*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 5*s. Let l = -1 - -6. Let t be (0\/1 - (-12)\/(-30))*-5. Suppose 0 = -l*z, -q + t*z + z = 3. Let a(d) = 2*d**2 - 3*d. Give q*n(o) - 5*a(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/96 and 131\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**4 + 8*z**4 - 12*z**4 + (488*z**2 - 5*z**3 + 2*z - 488*z**2)*(1 - 1 - 2*z) as s*z + l*z**3 + x*z**2 + u*z**4 + n and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/15)\/(1\/5). Let r = k - -28. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3336782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 85374*b - 1707520. Calculate m(20).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80602 is divided by 26858?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3*u**3 - 4*u**3 - 2*u + 5*u**2 - 4 + 0. Let v be d(4). Let c = 0 + v. Solve -w - 2*z + 3 = c, -3*w - 3*z = w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**7\/42 - 349*h**4\/12 + 325*h**3\/3 + 346*h. What is the second derivative of p(s) wrt s?\nAnswer: -20*s**3 - 698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -2*t - 27 = -o, 0 = -t + 2*o - 3 - r. What is the units digit of 5\/(10\/(-4)) - t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 6, t: 7, n: 1}. Give prob of picking 2 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1)\/((-18)\/(-30)). Let z be ((15\/6)\/d*14)\/(-1). Which is the second smallest value? (a) -3\/8 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6882, 30673, 70328, 125853, 197254?\nAnswer: 284537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14528 divided by 4\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*q + 16, 4*c - 12 = 2*q + 2. Suppose x + c*x = -4*d + 108, -4*d + 3*x + 76 = 0. Calculate the remainder when 83 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5\/2 + 9372*o**4 - 470553*o**3\/2 - 244647*o**2 = 0.\nAnswer: -6273, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4, -9*f + 5*j - 10 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:31 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 765\/4 - 188. Calculate the common denominator of 71\/42 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2 - 2*s - 2. Let k be m(4). Suppose -2*z - 10 = -k. Solve -z = -3*l + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 3 - 4 - 4*p + 5*p - 2*p**3. Let r be y(1). Let v be (-22)\/r - (-4)\/(-12). Solve o = -4 + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, -0.1, -4, -5, -1\/227.\nAnswer: -26, -5, -4, -0.1, -1\/227, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x + 630 = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 + 2*x**3\/3 + 3*x**2\/2 - 4*x. Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 137*f + 18588. Give c(53).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/4*(-4)\/5. Suppose 102*n = 91*n - 5*b - 31, 2*n + 6 = -b. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160.54373 - 0.1\nAnswer: -160.64373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 1*sqrt(130)*-1 - sqrt(130))\/(-1*sqrt(250)))**2*-5.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8 + 3)*(4*k + 21*k**2 - 4*k) + 34*k**2 + 17*k**2 - 23*k**2 as u + b*k**2 + i*k and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 39 + -4 + 944 + -978.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k - 16. Let y(j) = 3*j + 3. Suppose 0 = -0*c + 5*c + 55. What is c*y(r) - 2*v(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -259, -486, -663, -766, -771, -654, -391?\n\"Answer: 4*z**3 + z**2 - 258*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v**3 - 14*v**3 + 5*v**5 + (0 + 0 - 5*v**4)*(3*v - 3*v - v) - 5*v**5 + 4*v**5 + 0*v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-78435)\/(-97110))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7794?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 5*l**3 + 36.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*f = 1 - 4, -5*r - 15 = 5*f. Let n be (2 - 2)\/(3 - (r + 4)). Which is smaller: n or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12357721009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 4, 1\/15, 2, 2\/11, -1.81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 24*j - 31. What is the tens digit of p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(-494 + 494 - 34*p)*(-2*p + 2*p - p) as u + g*p + h*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 + 5*b - 25. Let r(p) = 12*p**2 + 8*p - 40. Let g(i) = -5*r(i) + 8*v(i). Let s(k) = -17*k. Determine s(g(q)).\nAnswer: -68*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80324.86 kilometers?\nAnswer: 80324860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12303, -23214 in ascending order.\nAnswer: -23214, -12303, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -241101 (base 5) in base 13?\nAnswer: -4089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.1, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -83 + 4 - (-58086)\/3227.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 1. Suppose 2*d - 4 = -8. What is the smallest common multiple of 9 and m(d)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*t - 280. Suppose 84*s + t = 85*s. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -761.\nAnswer: 106.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((sqrt(15)\/sqrt(80) - sqrt(363)*-1) + sqrt(27) + (sqrt(27) + sqrt(243)\/sqrt(9))*6)**2).\nAnswer: 605855\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r - 1. Let q(m) = -m + 1. Let p(y) = -l(y) + 6*q(y). Let n be p(-9). Let b = -33 - n. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/24*o**4 + 0*o - 1\/6*o**3 + 0 - 12*o**2. Give g(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 158964 in -1, -2\/17, -15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - 6*(sqrt(209) + (4*sqrt(209) - sqrt(209)))) - (sqrt(209) + sqrt(209)*-5*-6))\/(2*sqrt(1331)*-1*-1).\nAnswer: -53*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/10)\/p**(1\/12) assuming p is positive.\nAnswer: p**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:09 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + -2 + (7 - 10 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2 + (-160)\/84). Let u = -16 + k. Find the second derivative of -r - 3*r + 7*r**2 + u*r + 6*r wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u. Let j(m) be the first derivative of 5*m**3\/3 - 29. Calculate j(h(d)).\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 5. Let s be g(10). Does 9 divide -1 - (2 - 3 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101 - -1010000110111?\nAnswer: 1001110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2103 + 33191. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -171. Solve -2*f + m*f + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 96*y\/5 - 99\/5.\nAnswer: 3*(y - 33)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 975*q - 151*q + 1111*q + 5 as p*q + u and give p.\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114311.\nAnswer: 114311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i. Let z(m) = 270*m**2 - 1191*m + 2. What is l(z(y))?\nAnswer: -3240*y**2 + 14292*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 806 = v + 3*v, -423 = -q + 3*v. Let b = -2931 - -2935. Suppose 4*r - n - q = b*n, -2*n + 2 = 0. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 6. Let b be o(-17). Suppose v = -3*v + b. What is the remainder when ((-22)\/6)\/(1\/(-21)) is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146 - -151. Suppose -3*c + 5*h = -39, -7*c + 6*c + 33 = u*h. Let q = 21 - c. Solve 3*r - p = 10 - 4, 6 = 5*r - q*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2084\/84402)\/(2\/(-3))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -0.0125. Let a = j - -51.4325. Let t = a + -56. Round t to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -124*s + 63. Let n(v) = 249*v - 157. What is 15*f(c) + 6*n(c)?\nAnswer: -366*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -8931.7438?\nAnswer: 8931.2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -99. Suppose j + 1901 = 3*n, j = -2*n + 365 + 904. Let h = 664 - n. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -2\/3, 2, -1\/22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/((-7)\/98).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-125)\/(-45) - 2\/(-9). What is the first derivative of -26*r + 26*r + 3*r**k + r**3 + 2 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a. Suppose a = -5*b + 10, 4*g - 2*b = 2*g - 16. Let w = -4 - g. Solve -w*z = 3*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1354*v**3 - 2*v**2 - 603 wrt v?\nAnswer: 8124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 4:48 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -62*r + 68*r. Let n = 59 - 63.6. Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**20)\/a**(1\/13) assuming a is positive.\nAnswer: a**(272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + 57.3. Let t = -51.2 + z. What is t rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 0*m)*(27961 - 7624 - 13805)*(-3*m**2 + 0*m**2 + 2*m**2).\nAnswer: -13064*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - m**2 - 8 + 5 + m**3 + 0*m**3. Determine n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*d + 171, -4*d - 5*t - 6 = -171. 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: Is 72265 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*l - 10*l + 0*l**2 - 4*l**2 + l**5 - 36*l**2 wrt l.\nAnswer: 20*l**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6313282 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -10b79?\nAnswer: 10b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4378, -4381, -4384, -4387, -4390?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.011, 0, -538?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7823471983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5\/4 - 99*x**4\/4 - 477*x**3\/2 - 1149*x**2\/2 - 2115*x\/4 - 675\/4 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-40 + 0) - -35.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-6)\/(-45)*(-36)\/24)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -4770 divided by -90\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3949743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 7*g + 2. Let d be x(5). Let j = d - -23. What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-7) + 1 - (-8)\/28. Sort w, -3, -1, -2 in increasing order.\nAnswer: -3, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -1\/6*z**3 - 1\/20*z**5 + 22*z + 0 - 2*z**2 - 17\/12*z**4. Is r(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42908216 to the power of 1\/2, to the nearest integer?\nAnswer: 6550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 89*p + 18. Let i(q) = 134*q + 26. What is -5*i(g) + 7*s(g)?\nAnswer: -47*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(735)*-1)\/(1*sqrt(80) - sqrt(80)*6).\nAnswer: -2 + 7*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -5 + (-4 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*g = -27, -y + 9 = -4*g - 1. Suppose 0*r + 87 = 2*w + 3*r, 3*w - 124 = 2*r. Calculate the highest common divisor of y and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30046445 to the nearest integer?\nAnswer: 5481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/10*q**2 - 9\/2*q.\nAnswer: q*(q - 45)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 2, h: 4}. Give prob of picking 3 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6332414 is divided by 14830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557 + 1597. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:32 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*o = 16, 3*k - 71*o + 70*o - 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from {v: 17, z: 3}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 + -6 - (32 - 29))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvvvvvuvlpvv. What is prob of picking 1 u and 1 l?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12915913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12108, 10902, 9696, 8490, 7284?\nAnswer: 6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03416 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 13. Give j(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 0*x - 2*x + (-9 - x + 9)*(0 - 3 + 2) - 4 + 4 - 2*x + (x + 0*x - 2*x)*(2 - 1 + 0) to l + n*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by 1?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)\/(1\/(1\/1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. Suppose p = 5*o - 4*o + 1330000. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4230.3*-0.4\nAnswer: 1692.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 30526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -715287465, -715287463, -715287461, -715287459?\nAnswer: -715287457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-7)*i*i*i)*i*i**(-10)\/i*i**(-2\/3)*i\/(i**1\/i))**(-45))**6 assuming i is positive.\nAnswer: i**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*l - 17316 = 865*l - 821*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*f - 9 = 0, 4*y = 3*y + 2*f + 7. Is 17 a factor of (-1)\/(y\/429*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 18*t = -104, -440824*o + 440828*o + 4*t = -16 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002045 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-40)*5256\/41391.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 117276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 924 + 497. Suppose 2*k + 3*h = a, -4*k + h + 0*h + 2835 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7301 (b) 67\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 34453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/12 - j**3\/3 + 16*j**2 + 15*j. Let i be c(0). What is the tens digit of 1840\/34 + i\/(-272)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x - 76. Let n be h(-4). Solve 7*c - 9 = n*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + h - 216 = 0, -4*t - 177 = -t + 3*h. Let z = t - -56. Let q(i) = 110*i**2 + 1. Is q(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/192*(-6)\/4. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4195 + -1.9195. Which is the nearest to 0.1? (a) 1\/17 (b) 5 (c) v (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -122)\/((-1)\/(3\/(-6))). Suppose 63 = -2*k + b. What is the tens digit of k\/(1\/(-101)) + 32 + -34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 298228*z**2 - 596462*z - 298232.\nAnswer: 2*(z - 149116)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2 (b) 2\/11 (c) 2\/9 (d) 107.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) + 1)*2)**2 + 4 - (sqrt(112)*5 + 2 + -2)**2.\nAnswer: 144*sqrt(7) + 6280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 3*n + 7. Let f be z(-4). Solve -2*x = 2*c + 4, -4*c - 5 = f*x + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 28 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 6*(-8)\/(-6). Suppose -44 = 3*c - j*c. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 15. Let y be (2 - 5)\/(2\/10). Let m be z(y). Suppose m*i - 54 = 2*n + 4*i, -2*i = 5*n + 95. Which is greater: -16 or n?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2656443743*f - 1 + 1 + 2656443753*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 + 3)) + 5 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -369.84?\nAnswer: 360.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26530450 (base 7) to base 4.\nAnswer: -21110302201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 = o. Suppose -j + 26 = 3*m - 5, -21 = -o*m - 3*j. 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: (-2)\/2*(1040\/20)\/(-2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:59 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 1)*(11 - 8). Let y = -19 - -30. Calculate the greatest common divisor of w and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011110010010 (base 2) to base 3.\nAnswer: -111220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -176027 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:16 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31.15 * 0.2\nAnswer: 6.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 2:44 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131605445273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11400 (base 15) in base 14?\nAnswer: -16016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w**5 + 0*w**4 - 4*w**2 + 2*w + 133\/6*w**3 + 0 + 7\/8*w**6. Find the first derivative of r(b) wrt b.\nAnswer: 315*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48038207?\nAnswer: 7, 6862601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100110000011110110111?\nAnswer: -1100110000011110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*j**2*m**3 - 83*j**2*m**2 + j**2*m - 1103*j*m**3 - 3 wrt m.\nAnswer: -156*j**2 - 6618*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 v, and 1 m when four letters picked without replacement from {m: 5, c: 1, v: 8, z: 4}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 183253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-182)\/4*-12. Let b = 2085325\/8 + -260125. Let d = b + i. Calculate the common denominator of -87\/4 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*o + 54*o - 5041 - 8*o - 22*o as j*o + q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 + 6*v**2 + 99510*v**4 - 183*v - 99517*v**4 + 2*v**3 - 3*v**2 in the form g*v**4 + r*v**3 + f*v + x*v**2 + j and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -300*f**4 - 288*f**2 + 1061650?\nAnswer: -1200*f**3 - 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-13720)\/(-140))\/((-154)\/(-11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (17 + -4 - (219 + -197)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 3592793 + 0*g + 0*g - 3592793 + 17*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22757, 22763, 22773, 22787, 22805, 22827, 22853?\n\"Answer: 2*q**2 + 22755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 192. Let p(x) = 2*x**2 + 5*x + 1. Let s be p(-5). Let d(h) = -k + 24 + s - h. What is d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8)**(-1\/3)\/((x**(-1\/21)*x)\/x*x*x**(-2\/75)) assuming x is positive.\nAnswer: x**(-1886\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1793862 and -59\/66543738.\nAnswer: 1397418498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1645 - -77821\/416185. What is the common denominator of -179\/2070 and n?\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14 - -2)*21. Let s(h) = 3*h**2 - 6*h - 3. Let z be s(n). What is the tens digit of (-9)\/18 - z\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - r = -22, 4*i = -0*i - 3*r + 26. Let m be (2\/(-6))\/(i\/(-45)). Solve 4*w - 9 - m = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 8*l - l + 2*l - 2*l - 8. Let k be b(-8). Suppose 9*j - 7*j - 130 = k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, e: 5}. Give prob of sequence eee.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(6\/18). Suppose -12 = -5*n - h. Solve -5*d - 3 = n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-15) - (43 + -32 + 3).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*t**3\/9 + 524*t**2\/9 + 32*t\/3.\nAnswer: -2*t*(t - 24)*(11*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 13251*h**2 + 0 + 610*h**3 + 13245*h**2 in the form x*h**3 + u*h**2 + y + l*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**0*b)\/b**(-1\/4)*b**4*b\/b**(-2\/17)*(b**1)**(22\/3)\/(b\/(((b\/(b**0*b))\/b)\/b))**(9\/8) assuming b is positive.\nAnswer: b**(5029\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v*x**2 - 63713*v*x - 1337*x**4 wrt x?\nAnswer: 10*v - 16044*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 3*r - 5*r**3 + 17667 + 18*r**2 - 17670 to v + o*r**3 + z*r**2 + m*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*1780\/41296*6?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q - 5. Let r be 0 + 4 - -2*1. Let z = 2 - r. Put q, z, -1 in decreasing order.\nAnswer: -1, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o + 72*o + 1 = -5*m, 3*o - 8 = 5*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 17, -3.\nAnswer: -5, -3, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9477, 9474, 9471, 9468, 9465?\nAnswer: 9462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 16. Let k be o(11). Suppose k*q + 3*s + 0*s = 3, q - 7 = s. Suppose 97 = 2*h + 5*f, 0*h - 153 = -q*h - 5*f. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/((-3)\/(-3)). Let t be 2\/(-8) - (-376)\/(-32). Let m be 4*(-2 - 27\/t). Which is the closest to 1\/3? (a) m (b) w (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1 = -13. Suppose -d*p + 3 = -0. Let q = 2 + p. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 91. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203.2787 - -0.1787. Let j = b - -187. Round j to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxeexweeqeecc. Give prob of sequence xcex.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 3 + 3 + (-2*i + i + 2*i)*(13*i - 6*i + 13*i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 divided by 21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1182338772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21296428 or 0.1?\nAnswer: -21296428","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/48)\/(166\/(-168) + 1). Let j be (2\/7)\/(6\/m). Find the third derivative of 2 - 11*p**2 - j*p**6 - 2 - 7*p**6 wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/(-448)*(-10)\/(-3)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1461 divide 4679583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/20)\/(21 + 2502\/(-120)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - (-301)\/28)\/((-8)\/384). Which is the second smallest value? (a) j (b) 474 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 667 and 193867?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (-5 + sqrt(720))*-2)**2 + sqrt(720) - (3 + 4 + sqrt(720))**2.\nAnswer: -396*sqrt(5) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1648.08348 and -162.2.\nAnswer: 1485.88348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38447 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9684\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*u**2*w**2 + 10*g*u**2*w - 3*g*u*w**2 - g*w - 166*u**3*w**2 + 2*u**3*w wrt w?\nAnswer: -4*g*u**2 - 6*g*u - 332*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 3}. What is prob of sequence xxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.09, -0.4, -1, 1.4, -2\/17?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189813.\nAnswer: 3, 13, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*a - 47 = 0, 2*a - 7*a = -5*o - 15. Let q be 6\/(o - -4) + 8\/46. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43692, 87387, 131082, 174777, 218472, 262167?\nAnswer: 305862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:19 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 9*s**2 + 12*s - 7. Let v be f(10). Let y = v - -2. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138323941.\nAnswer: 7, 2399, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:35 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soosisossiiwi. Give prob of picking 1 s and 1 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -301.99, -8, -5\/2 in descending order.\nAnswer: -2, -5\/2, -8, -301.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -6, -5, 9 in ascending order.\nAnswer: -6, -5, 4, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2)\/(4\/(13 + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.8. Let u = 2226 + -2226.17. Which is the third smallest value? (a) 3\/2 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 10. Give u(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 37*r - 41. Let c(l) = -2*l**2 + 38*l + 41. Let p(b) = 2*c(b) + 3*o(b). Calculate the remainder when 48 is divided by p(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, -6, -28, -46, -54?\n\"Answer: f**3 - 7*f**2 - 6*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from hhhhhhhhehehhehhehhh.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 4, -2\/137 in descending order.\nAnswer: 5, 4, 0.3, -2\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + (-3*(sqrt(405) - (sqrt(405) + -2)) - sqrt(405)) + sqrt(405))*2)**2 + -2 - (-5 + (sqrt(405) + 3 + 3 + 4)**2).\nAnswer: -612*sqrt(5) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -8 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + 3*m**2 - 3*m**2)*(26 - 16 + 7)*(1 - 2 + 4).\nAnswer: -102*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36419620*n + 24161837 with respect to n.\nAnswer: -36419620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/4 - 2*z**3 - 3*z**2 - 3*z - 13. Determine m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3534556 times 0.6?\nAnswer: -2120733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5*w - 3. Give v(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 3:43 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 57*a**2 - 115*a - 153. Let r be f(59). Let c(p) be the first derivative of 0*p**2 + p - r + 23\/3*p**3. Let t(b) = -2*b**2. What is t(c(q))?\nAnswer: -1058*q**4 - 92*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from titntpnptinn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27.13+0.163429\nAnswer: -26.966571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*u - 3 = -114*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 c when four letters picked without replacement from {n: 3, e: 8, c: 7}?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -11) + -4 - (92 + -90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26490375 + 0.032581.\nAnswer: -26490374.967419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.3 - 3.3. Which is the closest to -1.4? (a) -3 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 14*o + 40. Let f be n(10). Which is the nearest to -0.4? (a) -0.2 (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*2 - sqrt(187))*-5 - (sqrt(187) + sqrt(187) + (sqrt(187) - (sqrt(187) + -5*sqrt(187)*1)) - sqrt(187)))\/(3*sqrt(44)*1).\nAnswer: -11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -53. Let m be ((-4)\/10)\/(n\/55). What are the prime factors of 69*(m - 2\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2555534321 + -12?\nAnswer: -2555534333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061 - 35.\nAnswer: -35.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36440 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21246010 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -9 + 11 + -10 + 3 + 0 - 9.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.419 times 0.71?\nAnswer: 0.29749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10843 or -10841?\nAnswer: -10841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79234, 157917, 236598, 315277, 393954?\n\"Answer: -q**2 + 78686*q + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101101011 - 1011010110110111?\nAnswer: -1010111001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-4)\/(-16)). Solve -4*c = 2*l + 14, i*l - 1 - 1 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:51 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -31. Sort h, -4, 0.5.\nAnswer: -4, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220578887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11109c - 29?\nAnswer: -1110c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2. What is a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/(-3))\/(5 + (-47)\/9). Suppose 62*g - h = 60*g. What is the greatest common factor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87\/11, -4, 1\/7, 2 in descending order.\nAnswer: 87\/11, 2, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -1. Let r be (h\/1)\/((-242)\/6). Let z = r + 493\/363. What is the third smallest value in z, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v - 119*v - 46 = -3*t, 0 = 4*v - t + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9548079 is divided by 581.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 0.2933 (b) 3\/2 (c) -4 (d) -6 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95 and 254445?\nAnswer: -24172275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 24, 2.8 in descending order.\nAnswer: 24, 2.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/12 - 7*i + 4. Let o(f) be the first derivative of t(f). Let b(k) = -5*k. What is o(b(g))?\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {k: 2, o: 4, x: 3, e: 1, q: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1388 - 1388.0000080996. Round t to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 16\/5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g - 3*g + 9 + 3*g - g. Give u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*66\/154?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 22*f + 1153 - 186 - 785.\nAnswer: 22*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2\/11, -2.6 in descending order.\nAnswer: 1, 2\/11, -2.6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-5*f + 3*f + 1 + 0).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 3*k - 173. Let l be g(0). What is the units digit of 36\/42*7*l\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34425, -68850, -103267, -137676, -172077, -206470, -240855?\nAnswer: -275232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789544 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 180*k**2 + 150*k - 150. Let o(a) = a**2 + 2*a - 2. Let u(q) = -2*n(q) + 150*o(q). Let g(b) = b**2. Calculate u(g(v)).\nAnswer: -210*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f - 19. Let t be q(5). Let z be ((-60)\/9)\/(-5)*t. Solve 3*k + n - 1 = -7, 4*k + z = -3*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**2 - 32*f - 45. Let b = 12 + 10. What is the smallest common multiple of i(4) and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105806675 a multiple of 1585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y = -512 - 168. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2133504*y + 2856*y**2 + 2133504*y in the form c + t*y + l*y**2 and give l.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 5. Let q = -5 + 3. Let y be 8\/(-34)*(-2)\/(-4). Which is the biggest value? (a) v (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 316 - -283. Suppose 0 = 13*n - q - 454. Calculate the remainder when n is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -151. Sort -2, -1, y in ascending order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 + -104?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:05 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u**4 + 2\/3*u**3 + 94\/5*u**5 - 23\/2*u**2 - 15 + 0*u. Find the third derivative of g(d) wrt d.\nAnswer: 2256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let l(w) = 3*w**2. Suppose -3*u - 7*x + 2*x = -26, 0 = -3*u + 4*x + 71. Determine u*c(h) - 6*l(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/396097619 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y = -p - 15, y = -4*p - 18. Differentiate 3 - y - i - 2*i with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dc (base 16) to base 4\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2706 - -2709. Let y(r) be the second derivative of 10*r + 2\/9*r**u + 0 - 1\/18*r**4 - 1\/3*r**2. Determine k so that y(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29826729*h + 29826731*h + 16 = 0, 2*h + 19 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 30*s + 5*s - 41*s.\nAnswer: -82*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/17, 2.9, -9469?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 35*q + 3. Let i(a) = -2*a**2 + 7 + 16 + 12 + a**2 - 36. What is -f(u) - 3*i(u)?\nAnswer: 2*u**2 - 35*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4956 + 4955.931. Sort 0, q, -0.3, 4\/5, -3 in decreasing order.\nAnswer: 4\/5, 0, q, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r + 6*r - 376 = 0. Solve -v + 0*v = -3*y - 2, -2*y - r = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 98. Put -5, v, -2, 5 in descending order.\nAnswer: 5, -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 8, y: 1, g: 7}. Give prob of sequence yxix.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 10. Let u be m(8). Suppose -20 = u*x - 6*x. Let p = 355 + -341. What is the remainder when p is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1663 + 1585 = 8*n. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 2214*r**2\/7 - 51888*r + 21447776.\nAnswer: -2*(r - 181)*(r + 644)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166 - 100034223?\nAnswer: -100034422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -394*i - 4. Determine v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 3*x - 4*r, 2*x - 2 = 3*r. Solve -x*k = -k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09499 - 0.39499. Let a be 8\/(-3) + (-2)\/6. What is the third smallest value in b, 4, a, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0 - 2. Let u be 0 - (z - 4*-1). Let x be 3 - (-3 - -4 - u). Solve -3*y = -x*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + 9 - 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 870, -5, 23 in decreasing order.\nAnswer: 870, 23, 11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*o**3 + 364*o**3 - 178*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 at most 3916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1224 (base 8) to base 2\nAnswer: 1010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0 - 1) - 10\/(-8). Let x = -4061\/28 + 145. Put x, -5, w in decreasing order.\nAnswer: w, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*b + 9 = 0, 0 - 1 = -b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2 + sqrt(6))\/(sqrt(72)*3)*3.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9)*-1*120\/1600. Let i(m) be the third derivative of 2*m**2 - 1\/4*m**4 - q*m**6 + 0 + 0*m + 3\/20*m**5 + 0*m**3. Factor i(x).\nAnswer: -3*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/((-1595)\/638)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -177*t**3 + 6*t**2 - 2*t - 18. Is i(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5350 is divided by 191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.7. Let q = 3.3 + y. Which is the smallest value? (a) 1\/3 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21190 and 12610.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45045 and 2901990?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -30, -96, -178, -270, -366?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3128 - -3227. Calculate the smallest common multiple of z and 462.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgppppppopppppp. Give prob of sequence ppog.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, -5, 16, 1619, -3 in descending order.\nAnswer: 1619, 16, 4, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 - 34026*o - 1119591 = 0.\nAnswer: -11309, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588128 and 18379?\nAnswer: 588128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**3 - 3715*h**2 + 47514*h.\nAnswer: 24*h - 7430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 10*m**2. Let i be s(10). Solve -p + 3*p = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 2. Let q be d(-2). Suppose q*m - 271 = -39. Suppose -3*g + 5*t = -53, 0*g + 4*t + m = 3*g. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320603814700569*g**2 + 71621652*g + 4.\nAnswer: (17905413*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -74*q**7\/21 + 2*q**3\/3 + 6*q**2 - 194*q. What is the second derivative of c(b) wrt b?\nAnswer: -2960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187*-7.\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-33 + 33)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 12*y**2 - 3*y + 12.\nAnswer: 3*(y - 4)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 8*a + 6. Let n(m) = 3*m**2 + 7*m - 5. Determine -4*n(k) - 3*y(k).\nAnswer: -3*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1292870\/40 + 3\/(-4). Suppose -2*y = -6*s + 5*s + 32309, s + 4*y = m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -61, -64, -65, -64, -61?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7461664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 33 = 4*z. Let l(u) = -z*u - 11 + 11 + 6*u. Let b(k) = 3*k**2. Calculate l(b(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g - 1. Let o be n(-2). Let f = o - 4. Let h(c) = -f + 5*c**2 + 1 - c**3 + 0. Calculate h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1691967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 4363 - 4363.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75358, -75360, -75362, -75364, -75366?\n\"Answer: -2*g - 75356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 + 1 + 13*c - 2.\nAnswer: 13*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142 - 152)\/(((-28)\/(-10) - 4)\/(-3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4461407 is divided by 1050?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 3*j + 2*j - 4*h, -j + h + 104 = 0. Suppose -4*g = -5*m + 3*m - 22, 2*m - 10 = -4*g. Calculate the greatest common divisor of g and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a8397 (base 11) to base 15.\nAnswer: -971a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 290622896*l - 21115416919856704 = 0 for l.\nAnswer: -145311448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k. Let c(f) = f - 7. Let r be c(2). Let b = 4 + r. Let w be o(b). Solve -y = 4*p + 1, -4*y - w = p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 1*sqrt(76)*-5.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 + 1706*d**2\/5 + 2505482*d - 16429274778\/5.\nAnswer: -2*(d - 1757)**2*(d + 2661)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005122 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 106*v**2 - 185*v - 1604. What is r(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c**2 + 2*c)*(22 + 64 - 41) - 3*c**2 - c**2 + 5*c**2 + (-4*c**2 - 2*c**2 + 2*c**2)*(0 + 3 - 2).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3858*x - 588. Let d be c(36). What is d rounded to the nearest 1000?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/9)\/(-7))\/((-6)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1254420 (base 6) to base 4.\nAnswer: 101001030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**4 + 10*z**4 + 22*z**5 + (-16 + 13*z + 16)*(2*z**4 + 3*z**4 - 6*z**4).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 - (-84)\/(-15). Let l(t) = -t**2 + 13*t + 9. Let r(h) = 2*h + 2. Let n(p) = -l(p) + 6*r(p). What is n(g)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a)**(-10)\/(a\/(a*a**(-4))*a*a*a**(-2\/17))*(a\/(a*(a*a**(-5\/6))\/a)*a*(a*a*a**(-4)\/a)\/a)\/(a\/a**(-1\/3))**(11\/5) assuming a is positive.\nAnswer: a**(-1867\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(242) + 1))**2.\nAnswer: -352*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1272*m**3 - 11*m + 5. Let f be d(3). Let o = -12654 + f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*v = 6, -3*m - 4*v = -0*m - 6. Suppose u = -i - 3*i + 25, -2*u + m = 0. Calculate the lowest common multiple of (18\/4)\/(2\/4) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.26251 to zero decimal places.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-4 - (-9)\/(-3)). Let g be (-98)\/8 - j\/(-16). Let q = g + 14. Solve -5 = -q*b - 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365534243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12.7. Which is the closest to 1\/2? (a) -3 (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*y**2 - 2*y + 60*y**2 + 270*y**2 + 294*y**6 wrt y?\nAnswer: 35280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3222614.31 to the nearest ten thousand.\nAnswer: 3220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/(-29610)*-235)\/((-14)\/(-3))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 12. Let d = 0 - z. What is the closest to d in -3, -3\/4, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 10 - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 4 = -9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 1, s: 2, m: 2, g: 6, x: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y + 3. Let z(q) = 15*q - 10*q - 4 + 5. Let i(h) = -4*u(h) + 9*z(h). Let g be i(7). Let m(s) = -s**3 + 5*s**2 - 3*s - 3. What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 6:51 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 5*j**2 - 6*j + 5*j + j**2 - 5*j + (3*j - 2*j + 0*j)*(3*j - 2*j + j) + 6*j**2 - 4*j**2 - 3*j**2 + 5*j + 2*j**2 - 5*j)*(-6*j**3 + 3*j**3 + j**3).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/9 + 25\/36. Let n(d) = -10*d**2 + 28*d - 5. Let h be n(-4). Let j = h + 1389\/5. Sort -3, 5, j, u in decreasing order.\nAnswer: 5, j, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + k + 2 = 0, 3*b + 2*k + 6 - 2 = 0. Let a(g) = g + 2 + b*g - 2. Let p(s) = -2*s. What is p(a(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 2*n + 4 + 7 - 26 + 8*n.\nAnswer: 5*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((12\/(-147))\/(-4)). Suppose 0 = 4*r - 475 + p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let s be 3*2\/v + 5. Let k = -4 + s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320.7 + 320.6. Let y = 1.92 + 0.08. Which is the second biggest value? (a) y (b) g (c) -4 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 less than or equal to 711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136.865 - 0.135. Let h = w - -136.43. Let u = -0.570208 - h. Round u to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.035 in -0.5, 0.5, 2\/11, -58.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - z + 25. Does 12 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and 46825\/20 - 5 - 2\/(-24)*9?\nAnswer: 11685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3996852.5 to the nearest 10000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212\/(-2))\/(-2844 + 2846)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**6 + q**5 - q**4 - q**2. Let p(i) = 6*i**6 - 4*i**5 + 4*i**4 + 13*i**2. Let c(x) = p(x) + 4*u(x). What is the third derivative of c(d) wrt d?\nAnswer: 1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let t be s(-3). Let p(f) = 3*f**2 + 5 - 12*f + 3*f**2 - 2*f**2 - 5*f**t. Let j be p(-11). Solve -2*v + 4*z = -16, v = 6*z - 2*z + j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/5 (b) -36 (c) 7 (d) -1787\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/110*2\/((-48)\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4960, 4959, 4958, 4957?\n\"Answer: -l + 4961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -21*t - 105. Let s be l(-5). Let r(i) = -4*i**2 - 1 - 1 + s*i**2 + i**2. Determine r(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -496, -746?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 - -18559. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*q - 131*q - o - 4 = 0, -2*q + 4*o + 16 = 0. Sort -58, 1, q, 2 in decreasing order.\nAnswer: 2, 1, q, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 20*x**2 - 13*x + 14. List the prime factors of u(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 329\/49 - (-2)\/7. Suppose 4*j - v = -3. Solve t = 1 + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 7365*m - 7361*m = -28, m + 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 9)*(-4)\/(-16). Let v be -1 + 5 + 1 + -2. Suppose -4*h = o*r - 194, -5*h = -v*r - 9*h + 297. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*l - 1486*l = -3379*l + 7305 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4526781 (base 9) to base 14.\nAnswer: 476c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 5.\nAnswer: 266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 716*c - 712*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let l be -2 + (g - 17\/(-4)). Let d = 47\/14 - 6\/7. Which is the nearest to l? (a) d (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 40 = 6*u. Which is the closest to -2\/37? (a) 1\/2 (b) u (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086598 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 308*i**3*t**4 + 2*i**3*t**2 + 2*i**2*t - 33*i*t**4 + 6066*i*t**2 wrt t?\nAnswer: 7392*i**3*t - 792*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 121*f + 11 + 1571*f**2 - 121*f - f**2 - 2*f**2 + 2*f**2 + (-4*f + f + f)*(f - 2*f - f).\nAnswer: 1574*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 135*r**2 + 5932*r - 348. Calculate w(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 396893 + -188842. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -155531, 0.4.\nAnswer: -155531, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 7 + 5. Let u = -4 + i. Let v(n) = n**3 + 9*n**2 + 8*n + 8. What are the prime factors of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 5 - 2)\/(-1). Suppose d - 34 = j*s, 3*d + s = -d + 31. Calculate the smallest common multiple of d and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 15262000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 27*u - 1. Let o(q) = 4*q**2 + 55*q - 2. Give 5*f(d) - 3*o(d).\nAnswer: -2*d**2 - 30*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -668 from 5.6472.\nAnswer: 673.6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11133338 at least as big as -11133338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1613*v**2 - 59690*v + 331. Calculate u(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*6\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 150 = -2*j, -4*q + 45 = 2*j - 141. Suppose u = 5*o - 17, u + 4*u = 2*o - 16. Suppose t = o*t - 3*z - 14, -5*t + z = -q. Solve 3*v + t = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*d + 730, -5*d - 4*m = -2*m - 908. What is the highest common divisor of 1541 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kur when three letters picked without replacement from urkraraururaakuua?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64958619 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87213*y**6 + 143*y**5 + 423258325*y**2 + 2*y wrt y.\nAnswer: 10465560*y**3 + 8580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(54)\/sqrt(6))*3)**2 - ((-3 + sqrt(931) - sqrt(931)) + -5).\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-75)*9570\/198.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnynnymnynmn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14684, -6.\nAnswer: -14684, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Let i = 52.69 - 53. Let w = -4.31 - i. Sort -1, t, w in increasing order.\nAnswer: w, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 - 8 = -2*u. Which is greater: 556 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (2 + 3 - 4). Suppose -l + 4 = -5*b, 0*b - 2*b + s*l = -3. Which is smaller: b or 3\/80?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + j = 47, 2*w - 2*j = -2*w - 60. Let v = w - -39. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7))**(1\/54)*(k\/(k*k**(2\/5)\/k))**(-2\/23) assuming k is positive.\nAnswer: k**(-2383\/43470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/27)\/((-154)\/(-231))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211634 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -17. Suppose 870 = j*q - 210. Suppose n - q = -5*n. What is the remainder when n is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16544916 divided by 3662?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1203928154796.99941 + 1203936516909. Let z = d - 8362044. Let v = z + -68. What is v rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/63? (a) -67 (b) 2 (c) 14 (d) 295\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2 - 22. Suppose -4*a + 2*r = -l, -a - 2*r + 0 + 3 = 0. Suppose -2*p = -4*p. Solve a*j - 6 + 0 = p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 57*r - 1943. Let b be c(-24). Which is smaller: b or -12\/541?\nAnswer: -12\/541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 496\/40 - (-3)\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070902 is divided by 2076?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - -0.068298057.\nAnswer: -14.931701943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 714*w + 1 + 708*w - 6*w**2 + 0*w**2 - 1336*w to the form j*w**2 + o + p*w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.0313.\nAnswer: -3.0313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfxcxvfqr. Give prob of picking 1 f and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-18))\/(2\/78). Let u = t - 10. Suppose -u = -2*c + 5*h + 13, 2*h + 2 = -4*c. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131256 is divided by 5702.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t - 25. Let r be s(2). Let a(l) = l**2 + 2. Calculate the lowest common multiple of 11 and a(r).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3) + (sqrt(432) - (sqrt(432) - 1*sqrt(432)))) + (3 + sqrt(325) - sqrt(325))*4 + -3 + -3)**2 + 2.\nAnswer: 12*sqrt(13)\/13 + 495\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*0\/1. Suppose -2*i + 20 = -2*c, 5*i + 3*c - 18 = -w*i. Let b = -6 + i. Is b greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -15*j**2 + 1 - 3*j**3 + 2*j**3 - 5. Suppose 3*m - 6 = 0, 0*m = -2*x - 4*m - 22. Let n be v(x). Sort n, 0, -10, 4 in increasing order.\nAnswer: -10, n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39202441 and 718?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658486.8 centuries to decades.\nAnswer: 6584868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1797 - 860 + 185 + 66)*(2 + 0 - 5)*(-1 - 3 + 5 + 2*b).\nAnswer: -7128*b - 3564","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Let d be -4 - (39\/(-7) - 69\/161). Suppose -4*j + d*j - r = -27, 0 = -3*j + z*r + 24. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 963333.9 weeks?\nAnswer: 161840095.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-10 + -1 + 19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 - 601500*i - 601503 = 0. Calculate i.\nAnswer: -1, 200501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let u be t(1). Suppose -i = -2*i - 2, -2*i - 14 = -s. Let j be 3\/s*(3 - 1). Are u and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98 - (30\/(-18))\/(10\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:19 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*g + 23 = g, -5 = 5*v + 5*g. Let a(y) = y - 2. Let u(w) = -2*w + 0*w - 1 + 3*w. Determine v*a(q) + 5*u(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 34 = x, 2*o - 170 = -2*x - 3*x. Let q = x - 24. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060480 and 4971.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24378484 (base 9) in base 16?\nAnswer: -b5e670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 1112*h + 1112*h - 57.\nAnswer: h**3 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7fe1 - 6?\nAnswer: -7fe7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.2, -3043, 0.4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-91))\/((2\/1)\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3 - (-4 - -6))*77\/1540.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 + 337 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1965 by -393.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40768013*z**2 - 3*z - 3102759?\nAnswer: 81536026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2553*j - 2627*j - 217560 = 0 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36757207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1750\/(-895) + 2)*1\/(-4). Which is the second biggest value? (a) r (b) -2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117198, -234397, -351596, -468795?\nAnswer: -585994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 820, -1\/6, -5, -2\/7, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) 10 (d) -1.9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6001068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -80\/11, 7.7, -123 in increasing order.\nAnswer: -123, -80\/11, 2, 4, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.38307808 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 20 + 18 + 25 - j**2)*(-1 + 1 - 2*j**2 + (-3*j - 4*j + 5*j)*(12*j + 9*j - 57*j)) to the form h*j**4 + x*j + y*j**3 + a*j**2 + u and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*q + 6096 = 132*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*z + 7607, 0 = 4*s - 0*s + z + 30472. Round s to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6824, -6867, -6936, -7031, -7152, -7299, -7472?\n\"Answer: -13*v**2 - 4*v - 6807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 66?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4824 = 12*f + 65*f - 278*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqkqkqq. What is prob of picking 3 k and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829.27796 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*p**3 - 107*p**3 - 108*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19383 and 132132.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 0*t**2 + 0 - 2*t**2 + 8 + 13.\nAnswer: -2*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -114 - 18*u - u**2 + 0*u**2 + 63. Let g be s(-6). Solve -2*r - 2*i - 2 = 0, -3*r + 0*r + 3*i - g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174096 - -64096. What is t rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37914, 76454, 114992, 153528, 192062, 230594, 269124?\n\"Answer: -o**2 + 38543*o - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cf9 + 153a?\nAnswer: -7bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 103*h**2 - 30*h - 185. Is 43 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*g - 140656 - 77510 = 2145*g - 355*g for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.61 + -0.16. Let p = 0.05 - u. Which is the smallest value? (a) 0.5 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -51. Let a(m) = r*m**2 + 5*m + 8 - 8*m**2 - 11*m**2 - 3*m**3. Is 14 a factor of a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174 - -1924\/11. Let k = o + -2\/99. Is k greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 161, 606, 1309, 2258, 3441, 4846, 6461, 8274?\n\"Answer: -2*z**3 + 141*z**2 + 36*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27272 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*o)*(78 + 30 + 106)*(-o + 2*o + 4*o).\nAnswer: 3210*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8944, -8838, -8734, -8632?\n\"Answer: -p**2 + 109*p - 9052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831402 is divided by 415637?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*1\/20)\/(5\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 30130222202?\nAnswer: 30130222301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 51 = -183. Let x = 65 + z. Let q(f) = 0 + 0*f - 1 - 2*f + 6*f**2. Determine q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27 - (-5562)\/(-11421)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 11 - 11. Let q be m(0). Suppose -3*c - 211 + 6 = -5*x, -3*x + 4*c + 134 = q. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.2 and 3063886.\nAnswer: 3063882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-7045\nAnswer: -1127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2.41028, -4 in increasing order.\nAnswer: -4, 0, 2.41028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4575539182.\nAnswer: 2, 181, 2897, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -469182 divided by 469182\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074205 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from rrfuerxrzuue.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 59*y + 3. Let z be j(-26). Which is greater: -180 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -33 + 45 + (0 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b - 4*b**2 + 5*b**2 + 2 + 0 - 9*b**2.\nAnswer: -2*(b + 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f - 4. Let d = -3 - -4. Let c be 0\/((1 + -3)\/d). Suppose c = -3*z + z. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -12*l - 16 - 44, 3*l + 19 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(6*-1))\/((-4)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -3)\/(1\/(-1)). Suppose d = 4*y - 8 - 16. Calculate the lowest common multiple of 10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4105 = -2*i + k, 23*i - 3*k - 10262 = 18*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*(-70)\/21. Suppose 13 = 4*d + j. Let m = -19.5 - -14.5. Which is the smallest value? (a) 0.2 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1271 - -8928\/7. Suppose -7*g + 3*g + 4 = 0, -60 = -4*k + 4*g. Suppose -3*i + k - 142 = 0. Find the common denominator of i and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 1\/6*n**3 + 0*n**2 - 5*n + 0. Let t(x) = 3*x - 1. Determine 5*j(s) - t(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 - (-20 + 0 - -45 - 40).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.49081 + -931.\nAnswer: -934.49081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2874, 3079, 3328, 3645, 4054, 4579?\nAnswer: 5244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -0.18. Let i = h + -0.15. What is the nearest to -3 in 0.4, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171276 is divided by 4370.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6545\/714)\/((-2)\/((-2)\/(-25)*(-570)\/114))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 6. Suppose 4*i - 3*m = -14, -2*m = 5*i + 10 + 19. Let o be c(i). Let q = o - -14. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69806*l**3 + 65*l**2 + 113*l + 2.\nAnswer: 418836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18095 is divided by 348.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((-6)\/(-24)) - 32\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2025)\/30*6\/72 and 97\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 181, -2, 15, 0, -4, -5.\nAnswer: -5, -4, -2, 0, 13, 15, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.9799.\nAnswer: -4.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 37*u + 331. Let q be i(14). Which is the third smallest value? (a) -3\/2 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.2 - 10. Let y = -4.2 + j. Let n = -2.2 - -2. Sort n, -2, y in descending order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 - 12804*n**3 - 2706102*n**2 + 12804*n + 2706105 = 0. Calculate n.\nAnswer: -4045, -223, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6733*k. Let s(x) = 20900*x + 1. Determine s(m(f)).\nAnswer: 140719700*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -982.8 and -0.1.\nAnswer: 98.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/4)\/((-2)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*m = 36, 0*p = 2*p - 3*m + 18. Let z be 0 + 2 + p + 191. Calculate the greatest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140673754 at least -140673758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(50\/(-35)))\/(84\/72*-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*-0.53.\nAnswer: -0.1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1144 or -3639?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3. What is o(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3818 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/5 - 10051972*t\/5 - 25260535272196\/5 = 0.\nAnswer: -5025986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12038*h**2 - 4*h - 25088*h**2 + 12523*h**2.\nAnswer: -527*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318025 is divided by 286.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42864 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7950\/9275)\/(16\/(-14)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(415\/(-4648)*(-8)\/(-70))?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.042*-424\nAnswer: 17.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - (-87)\/(-27). Calculate the remainder when 43 is divided by 5*(-1)\/(1\/r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 + 3*y + 3. Let f be u(-2). Solve 2*b + 3 = -f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495552563.\nAnswer: 11, 251, 179483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-4)\/12*2. Factor -8*r**3 - 5*r**p - r**3 + 2*r - r**4 + 13*r**3.\nAnswer: -r*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24812195?\nAnswer: 5, 19, 139, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36827064 is divided by 366.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1671 divided by 1671.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721200 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 43*n - 134. Determine m(35).\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 33. Let j = 31 - y. Calculate the remainder when ((-162)\/j)\/((-2)\/(-6)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c**(-1\/11))\/((c**(-2)\/c)\/c*c*c\/c**(-3))*c*c*(c\/((c**6*c*c*c*c)\/c))\/c*c*c\/(c*c**(-1\/3))*(c**(1\/4))**(-37) assuming c is positive.\nAnswer: c**(-2377\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r, -5 = w - 4*r + 5. Suppose 3*a + u = 4*a, 5*a = -w*u - 7. Let i be (1 + a)\/3 + -2. What is the second biggest value in 0, i, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 + 3 - 3 + (-4*b - b + 4*b)*(4*b**2 + b**2 - b**2) - 3*b**3 + 3*b**3 + 2*b**3 in the form m*b**3 + z*b**2 + r + v*b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234.7275 - -1.0875. What is y rounded to zero dps?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r = 840*r + 1295*r - 79*r + 82861 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3416.6 to the nearest ten.\nAnswer: -3420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -71. Suppose -h + b = 2*h. Let f(l) = -8*l - 2 - 2*l**2 + 0 + 3*l**2 + h*l. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 15 = -6*o, 2*v + 404 = -4*o. Let f = -385\/2 - v. Calculate the common denominator of f and 53\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4829746 divided by 50\nAnswer: 2414873\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d + 9. Let g(r) = 1. Let c(a) = -6*g(a) + t(a). Let w be c(6). Let u be (-1)\/(w\/(-21) - 2). Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5141741\/7547040 + 2\/47169. What is the common denominator of h and -51\/2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*p - 36*p + p**5 + (0 + 0 + 2*p**4)*(-12*p + 32*p + 91*p).\nAnswer: 223*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2 - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 7)*(3*w**3 - w**4 - 3*w**3)*(-w + 5*w - 3*w)*(3 - 2 - 4).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2817.019985 + -2817. Let y = -0.02 + t. What is y rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 12*r + 10 = 14*r, 6*c = 16*r + 39*r - 153 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from ttlklllldklttdklltl.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 125*f + 244. Let g be q(2). Let j = -5 - -8. Solve j*v + g = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-1 + 1 + p)*(-167 + 1 - 4)*(-3*p + p + 0*p) to the form u + i*p**2 + s*p and give i.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 54*m**2 + 63*m + 408. Let z be h(15). Factor -2 - 38\/9*l - 2\/9*l**z - 22\/9*l**2.\nAnswer: -2*(l + 1)**2*(l + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 36. Let u(k) = -k**3 + 7*k**2 - 7*k + 9. What is the lowest common multiple of f(15) and u(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 2 + sqrt(325) + 4)*4 + (sqrt(325)*2 + 4)**2 + 2.\nAnswer: 120*sqrt(13) + 1342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656470 is divided by 753?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*o - 2)*(-88 - 429 + 152 - 573).\nAnswer: 2814*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 4)\/((-4)\/((-520)\/6)). Let h = k - 144. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (0 + 12\/(-2))\/(6 - 7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 14) to base 7\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(21) - (sqrt(84) - sqrt(21) - sqrt(21))))\/((-1*sqrt(77))\/sqrt(11)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1016810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 2*h + 119 - 113, -9 = 3*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - 12\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -c + 104. Let p = c - 297\/2. Factor -a + 1\/2*a**5 + 1\/2*a**4 - p*a**3 - 5\/2*a**2 + 0.\nAnswer: a*(a - 2)*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544415 (base 8) in base 7?\nAnswer: 6002504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3545?\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1461*t + 1465*t - 4 = 0. Let f(z) = -1. Let b(s) = 3*s. Let x(r) = -b(r) + 2*f(r). Let m be x(3). Is t greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 3, y: 1, g: 2, z: 3, e: 1}. What is prob of sequence ynvn?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (1 + (24 - 10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4883 - -4904. List the prime factors of m.\nAnswer: 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1556 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 31*k**2 - 19*k - 30. Let a be z(11). Suppose -2*c - 4*m - 10 = 0, -2*m - 21 + 6 = -c. Solve a*d - 2*d + c = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428109439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 850 and 800.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:42 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 889*o**3 - 7130*o**2 + 14368*o - 288 = 0. What is o?\nAnswer: 18\/889, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4029\/(-68) - (2\/(-8) - -1). What is the tens digit of (-10250)\/k + (21\/18)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g. Let n(m) = 5*m + 3. Give n(c(j)).\nAnswer: 60*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465436*b + 3 + 465436*b + 30*b**2 + 13*b**2.\nAnswer: 43*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86313724?\nAnswer: 2, 7, 409, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1120010011121?\nAnswer: -1120010011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 329.\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.7 rounded to 0 decimal places?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5)*f)\/f**7*f**3\/(f**(1\/2)\/f))\/((f\/(f*f**3)*f*f)\/(((f\/(f*f\/f**3*f))\/f)\/f*f))**49 assuming f is positive.\nAnswer: f**(471\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -136. Suppose -3*i + y = 1. Sort i, -3, -16 in descending order.\nAnswer: i, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -18 + 9 - 9 - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14158 and 98.567?\nAnswer: 14256.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29ea7 - 43?\nAnswer: -29eea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08945*54.\nAnswer: -4.8303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 * 5.49\nAnswer: 0.31293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 609, 4333, 14479, 34257, 66877, 115549, 183483, 273889?\n\"Answer: 535*w**3 + w**2 - 24*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -564956 + 9742?\nAnswer: -555214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4691 + 4823. Let z(o) = 8*o - 8. What is the least common multiple of z(4) and i?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k. Let b(l) = 566*l. What is t(b(r))?\nAnswer: 3396*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-1962\nAnswer: -1962.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 6. Let l be m(9). Suppose -318 + 102 = -l*w. Calculate the remainder when w is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.08, 0, 3, -128?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 60 = 2*c. Let t be (20\/3)\/((-2)\/24*-1). Calculate the highest common factor of c and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 247122*a*h**3 + 517172*a + 2*h**3 wrt h.\nAnswer: 741366*a*h**2 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -35*p + 668. Let v = p + -172. Let g be 2\/((-3 - -2)*-3). Which is the second biggest value? (a) 4 (b) g (c) -11 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*x + 17, 30 = 5*o + 2*x - 60. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 - 2*i - 4. Let t be g(-3). Let q be (0*1\/2*-2)\/t. Suppose 13*y - 1128 - 224 = q. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1233)\/(-99) + -10 + -3.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 9*u**4 + 97*u**3 + 2*u + 74 - 74 - u - 95*u**3 to the form n*u**2 + l + q*u**4 + s*u + c*u**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 9*o**2 - 25*o + 61. Let y = -14\/473 + 78143\/3311. Let f = y - 619\/42. What is the common denominator of j(11) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-110)\/(-1))\/(-2)*-1 + 3. Let h = -34 + x. Find the common denominator of 1\/36 and 3\/(-36)*738\/h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 - 14*b + 1. Let u(n) = n**2 - n. Calculate -r(a) + 4*u(a).\nAnswer: -a**2 + 10*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(1\/3)\/(b\/(b\/((b\/b**16)\/b)))**34 assuming b is positive.\nAnswer: b**(1633\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d + 96. Let c = 2 - -18. What is the lowest common multiple of c and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343 - -347. Let g(s) = 9*s + 2. Let b(o) = -65*o - 15. Let p(h) = y*b(h) + 30*g(h). Let f(i) = -10*i**2. Give p(f(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(2\/31)*(n**(1\/2))**(-16) assuming n is positive.\nAnswer: n**(-1732\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*o**3 - 3*o**2 - 114.\nAnswer: -747*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3767 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -4, 2\/3, -4\/43 in ascending order.\nAnswer: -4, -4\/43, 0.12, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-4\/7)\/p))\/p*p*p*p*p)**(18\/5)*(p**(1\/5))**12 assuming p is positive.\nAnswer: p**(786\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*f - 513 = -f, -3*u - 2*f = -305. Let q = u + -45. Let k = -56 + q. Solve l + 4*z = 3 + 2, 0 = 2*l - 4*z + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 - 250*u**3 - 2 - 9*u**2 + 5*u - 14*u**3 - 360*u**3 - 34194*u**4 + 34196*u**4 to o*u + r + m*u**3 + g*u**4 + v*u**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20393 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 217 = -1. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 142 - 107 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 bigger than 378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -44, -22, 2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443\/6 or -0.9?\nAnswer: -443\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*5 + 1*-2. Suppose -3 - 12 = 3*m. Let p be (-105)\/(-42)*8\/m. Which is the second biggest value? (a) p (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 729*t - 5. Let f(b) = 2*b**2 + 1093*b - 7. What is 5*f(u) - 7*i(u)?\nAnswer: 3*u**2 + 362*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200459.\nAnswer: 7, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 4*w - 28*u + 113, 4*w + 2*w = -3*u - 35 - 94 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 12*r + 7. Give q(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1 + -5 + 598)\/(-1). Let f = -590 - h. Calculate the highest common divisor of 70 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnntnnnntttnn. What is prob of picking 2 n?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4\/15, 3\/7 in ascending order.\nAnswer: -5, -4\/15, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 25. Let p(t) = -1. Let y(q) = a(q) + 25*p(q). Let o(s) = -3*s**2. Give o(y(r)).\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3981990 and 183080.\nAnswer: 15927960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 4*f = -41*g + 10, 2*g - 2 = f - 2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/839 or -1?\nAnswer: 1\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043839 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from ahaahaahhhhhaahaah.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878*x - 936*x = -3944. Solve 69*b - 5 = x*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29915\/193 - 153 - (-2)\/(-26)*31.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n - 5 = 0. Let h be 1\/(-1) + (-7)\/n. Let u(v) = -v + 3. What is the units digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 173. Let q(b) = -b - 953. Give -22*c(v) - 4*q(v).\nAnswer: 4*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l*l\/(l*l**9*l))))\/l**(-8))**(-1\/16) assuming l is positive.\nAnswer: l**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let q(w) = 3*w + 48. Let s(j) = -q(j) + 6*t(j). Suppose 3*b = x + 58, 0*b - 3*x - 66 = -3*b. Let m be s(b). Solve 4*c + 8 - 24 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-18*1\/8)\/(13\/1092*21).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r + 2*m = 28027, -3*m - 46718 = -5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 0 + (1 + sqrt(288))**2 + -1.\nAnswer: 36*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/16081131 or 0?\nAnswer: 34\/16081131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126374 (base 11) in base 3?\nAnswer: 10201002202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmcxhlic. Give prob of sequence ix.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (9226 + 16059 + 18344 - 6244 - 5542)*(-2*y - y + 2*y) as p*y + q and give p.\nAnswer: -31843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-179 - -211) + -15 - (44 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + 0.1. Let h = k + 0.5. Let r = 0.4 - h. Round r to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 646*g**2 + 5742*g + 86. Calculate r(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.1 - -25. Which is smaller: -23 or y?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 13) to base 4.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 + -0.07?\nAnswer: 13.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 26*k = 21*k - 15, -9*t + 3*k - 29 = -16*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6639, 7700, 8699, 9636, 10511?\nAnswer: 11324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 145892*u + 114901*u - 7.\nAnswer: 260793*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 3, -0.4, 0.4, -422.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 13*a + 18 - 38 - 1 + a + 1 + (3 + 1 - 2)*(5*a - 4*a - 2*a) + a + a - 4*a.\nAnswer: 10*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**4)*(-15 + 21 + 7)*(-f + 0*f - f) + 14*f**5 + 3*f**4 - 24*f**5 + 2 + 12*f**5.\nAnswer: -50*f**5 + 3*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = b + g + 2*g, -5*g = 3*b - 368. What is the smallest common multiple of b and 8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p - 14*p = 17*p. Let n(g) be the third derivative of 12*g**2 + 0 + 0*g + 0*g**4 + p*g**3 + 1\/20*g**5. Let a(x) = x. Give a(n(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*w**4 + 46*w**3 + 4*w**2 + 274*w wrt w.\nAnswer: 264*w + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, j: 2, e: 4, v: 4}. Give prob of sequence evjj.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/(-50))\/((-1)\/25). Let y = s + 47. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-4 + 10)) + (-165 - -11)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*l - 6, 5*l - 2 = -w - 0. Is 69 + (0\/w)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19857 + 32812. Is b 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 594480 and 720?\nAnswer: 1783440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 38 - 12. What is the smallest common multiple of 4 - (-1)\/((-3)\/(-6)) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2. Let b be 3\/u + (-56)\/(-2). Solve -v = -6*v - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 5*m + 24. Let i be l(-6). Suppose 4*x + 4*j - 57 = -x, 3*j = 3*x - i. Let w(o) = o**3 - 9*o**2 - 2*o + 10. Determine w(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3841014 - 3841014 + 111*m**2 - 14*m**2.\nAnswer: 97*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1296)*-2*4)\/(5*-4*sqrt(1152)*-4).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -358403?\nAnswer: -358425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320455 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = 8*s + 159. What is the remainder when 129 is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 206 - 262 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 24 = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34191129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22*-80\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/3, 9, 2, -2\/7, 1883, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 62. Let m = 18.72 - q. Let w = 0.42 - m. Which is the second smallest value? (a) 0.2 (b) 6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbegegeibn. Give prob of picking 1 b and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) - -1*sqrt(1300)) + (sqrt(1872) + 0 - sqrt(1872)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 11*a + 20. Let p be s(9). Let i be 3699\/p + 6\/(-12). Let r = 22211\/12 - i. Calculate the common denominator of r and 37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002173 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c + 9. Let o(w) = -w**3 + 10*w**2 - 10*w + 13. Let s be o(9). Let x(y) = -y + 2. Let i(g) = s*t(g) - 21*x(g). What is the units digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/96 and -13\/21?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/150 and 109\/32804740.\nAnswer: 492071100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w - 85*w - 144 = 0. Let h be ((-2)\/w)\/((-13)\/((-520)\/15)). Put 3, h, -1 in increasing order.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335015 + 1?\nAnswer: -335014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 394, 441, 308, -65?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25843 is divided by 1615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffzzlnp. What is prob of picking 2 p, 1 l, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-26))\/((-3)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 9. What is x(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44574543*q*r**3 - 110*q - 5128 wrt r.\nAnswer: -133723629*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - l + 4)*(118090*l**2 + 118088*l**2 + 5695*l**3 - 236178*l**2) + l**4 - 3*l**4 + l**4 in the form t*l + u*l**2 + h*l**3 + v*l**4 + c and give v.\nAnswer: -5696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 3*s**2 - 8*s - 4. Let b be d(-5). Let l = 73 - b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qenq when four letters picked without replacement from {e: 4, n: 5, t: 2, q: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38197, -76450, -114705, -152962?\n\"Answer: -q**2 - 38250*q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1162823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*u = -64, 16 = -f + 2*f + 3*u. Suppose 4*m + 140 = 4*p, 2*p + 2*p - 110 = -2*m. What is the remainder when p is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/37 in 2\/15, -1\/5, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*(185\/50 - 4). Let x be (-4 + 4 + (-12)\/(-16))\/(-2). What is the second smallest value in z, x, -4, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -441 (c) -31 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**3 - 9*m**2 - 60. Let s(r) = 7*r**3 - 6*r**2 - 40. Let w(c) = -5*g(c) + 7*s(c). Let o(d) be the first derivative of w(d). Factor o(j).\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -18.94. Which is the third smallest value? (a) -4 (b) -2\/17 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/7)*b**(-1\/10)*(b*b**5)**(10\/7) assuming b is positive.\nAnswer: b**(583\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 24. Let d(x) = -10*x + 80. Let g be d(m). Calculate the highest common factor of 380 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/247 and 17\/208.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/7 greater than or equal to -2755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*i - 1670*i - 66450 = 0 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4)\/((-9429)\/(-5388))*4*16\/2\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569909591?\nAnswer: 139, 4100069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/5 + 18*w**2\/5 + 24*w\/5 - 8 = 0. Calculate w.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, 1\/2, 30, -30, -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 135033.03 milliseconds?\nAnswer: 0.037509175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 10 = 16*n. What is the third derivative of 5*b**4 + 7*b**4 - 6*b**4 + b**n + 5*b**4 wrt b?\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008121763004 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:06 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-15\/4)*a)*a**(-3))**(1\/21) assuming a is positive.\nAnswer: a**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 + 16*y**2 + 24*y**2 - 12*y**2 to b*y**2 + w + t*y and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2158.6 rounded to the nearest ten?\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1512 in -1, 5, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -7*n**3\/3 - 19*n**2 - 27*n. Let k be r(-3). Solve -3 = k*q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(76) - (sqrt(76)\/sqrt(4)*1 + 2)**2.\nAnswer: -22 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35 = 3*v, -v = 2*x + v - 18. Sort x, -2, 1, -1 in increasing order.\nAnswer: -2, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53087\/190 - 2793\/10. What is the nearest to 22 in t, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Let y be 3*l\/12*3. Suppose 0 = -2*h - 2*m + 6, 0*m + y*m + 3 = 0. Solve 16 = -3*r + h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (22 + 11 + -27)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*4*(sqrt(588)*-1 - sqrt(588))**2*-2.\nAnswer: 169344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28737 and 3249922737?\nAnswer: 3249894000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, a: 3}. Give prob of picking 3 a and 1 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**3 - 278734104*t**2 + 1114936452*t - 1114936464 = 0.\nAnswer: -92911372, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74886943.\nAnswer: 74886943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579322104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3*d**4\/2 - 16*d**3\/3 - 4*d**2 + 1. Factor p(u).\nAnswer: -2*u*(u + 2)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 38*h + 347. Let o be l(15). Solve -132 = o*j - 134 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from gcgmiiigcgciisi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 4. Suppose -3*p = -2*a + 15 - 1, -4*p = -4*a + 24. Calculate the least common multiple of a and u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k + k)*(4 + 2*k + 3*k - 3*k).\nAnswer: 8*k**2 + 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 + (7 - -4) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30875, 30880, 30885, 30890, 30895?\nAnswer: 30900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 4*c + c)*(2 - 3 - 14) + 2 + 0 + 2*c - 3 in the form a + y*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 5306551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 t when four letters picked without replacement from pnpghzthtpt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -163722 (base 15) to base 3\nAnswer: -2000121102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*u - 771 - 1837 - 556 = -479. Let v be 38\/(-60) - (-1)\/2. Let m = 2.5 + -0.5. Which is the third biggest value? (a) m (b) v (c) -0.8 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001072307 rounded to seven decimal places?\nAnswer: -0.0001072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*o - 31*b + 26*b, -2*b + 6 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37380281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 880389800 rounded to the nearest one million?\nAnswer: 880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = z - 2*o + 25, 4*z + 2*o = 258. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*u - 16 = 0, 4*u + 27 = -5*w + 3. Let z be (-178)\/w + (-1)\/4. Calculate the highest common divisor of z and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2. Suppose -76*u + 66*u - 50 = 0. Let f(b) = b**2 - 7*b**2 + 0*b**2. Let m(i) = u*c(i) - 2*f(i). Let t(r) = 2*r**2. What is m(t(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 22*p**2 - 134*p + 14. Calculate x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12286*z**3 - 4*z + 3*z + z - 12269*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 36*j**2 - 30*j + 7. List the prime factors of i(38).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 316003*i**4\/24 + 5*i**3\/2 + 66*i**2 - i. Let p be f(-5). Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10454502 (base 6) in base 10?\nAnswer: -318566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = 2*d + 4, -3*y - 7 = d. Let g = -5 - d. Which is the second smallest value? (a) -3 (b) -6\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55446, -55420, -55394, -55368, -55342, -55316?\nAnswer: -55290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 556513610?\nAnswer: 556513611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:08 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f + 249. Let q be x(-13). Suppose 4*y = 4*p, -2*y = -4*p - 0*y. What is the nearest to p in 0, 3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16578093113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -23*i + 169. Let y be t(7). Solve 0 = -6*h + 8*h + y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 6.159 (b) 3 (c) -0.06 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 35*x**2 - 32*x + 2. Calculate u(36).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 502 or 498?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-4*q + q + q) - 8*q - 9*q + 56*q.\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*t**4 + 579144*t**3\/5 - 309003*t**2\/5 - 241359*t\/5 - 28962\/5 = 0. Calculate t.\nAnswer: -3218, -3\/10, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -3*w - 3*w. Let h be (-12)\/(-78) - (-2)\/w. Solve -4*v - v - 15 = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:05 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2995 divide 160319355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 347 (b) 1.329 (c) 4\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 35 + 38 - 70 to u*c + r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4521 is divided by 1973.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0015? (a) -1\/10 (b) -4 (c) 0.2 (d) -1\/2 (e) 5 (f) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 - c**3\/6 + 19*c**2\/2 + 83*c - 1. Suppose 0 = -4*r + 2*r + 10. What is the tens digit of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -107.59. Let n = 760.41 - 765. Let f = i - n. Which is the smallest value? (a) 0.7 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3385994407 to the power of 1\/2, to the nearest integer?\nAnswer: 58189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7892257176 - 11162\nAnswer: 7892246014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) + (45\/(-20))\/(-3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/60 - 4*k**5\/5 + 5*k**4\/12 + 13*k**3\/6 - 9*k**2 + 8. List the prime factors of h(24).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681363 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*d - 41 - 24 = 0, 52 = -4*k - 2*d. Let c(t) = t**2 + 10*t - 10. Give c(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 11*n + 2. Let r be d(8). Let i be (r\/(-6) + -1)*300. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -15 in decreasing order.\nAnswer: 3, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33810144 to the nearest integer?\nAnswer: 5815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(96)*-2)\/sqrt(8)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 40 - 65. Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 11. Let x(z) = -z**2 + 8*z + 8. Let n be x(8). Let u be s(n). Solve 10 = -l + u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and -1.9731.\nAnswer: -0.276234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s + 4. Let i = 7 - 2. Suppose -2*t - 13 = -21. Suppose -t*v = -u + 7, 0*u - i*v - 2 = u. Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 147*b + 9986. Determine c(-69).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(108)*-3 + (sqrt(108) + -1 + 5 - (-5 + (sqrt(108)*-1 - sqrt(108) - sqrt(108)) - sqrt(108) - sqrt(108))))**2*5 + 4.\nAnswer: 19440*sqrt(3) + 700249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 870152 - 870121.00168. Let h = 31 - v. Round h to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 340*d + 366*d + 5 - 2*d**2 to the form y*d**2 + v*d + i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - u + 483. Let s = -22 + u. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 1*sqrt(133)*-6)*-4)\/(((sqrt(84)\/sqrt(2))\/sqrt(2))\/sqrt(3)).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpxwxxsxsxxxx. What is prob of picking 2 w and 1 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 + 32*o**2 + 5*o - 10. Let d(v) = -11*v**3 + 32*v**2 + 6*v - 6. Let t(g) = -4*d(g) + 5*r(g). What is t(32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -5, -1, -2\/17, -0.04, -1.38, -514?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -32. Let y = 15 + -15. Suppose 5*b + 4*x - 38 = y, 5*b + 2*x - 4*x - 56 = 0. Calculate the remainder when z is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g + 50*g + 2*m = 107*g + 5*m - 5, 5*g + 15 = -m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 250 = -k + 4*u, 3*u - 242 = -k. Let n = 144 - k. Is n greater than or equal to -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eusebbbzbbez. Give prob of picking 2 b and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyf when four letters picked without replacement from fyfffyffyyfyy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 13. Let z be (-2)\/(-8) - 114\/8. Let r = o - z. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1283, -2565, -3847, -5129, -6411, -7693?\nAnswer: -8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(68)\/sqrt(4)))**2 - (-1*sqrt(17) + 4 + 2)**2.\nAnswer: -24*sqrt(17) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7770)\/(-870) + 2\/29 - (-222)\/(-25).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -18. Let q(j) = -3*j + 4. Let o be q(i). Suppose 0 = 5*n - 4*h - 752, 44 + 720 = 5*n + 2*h. Calculate the greatest common factor of o and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -0.1.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121\/6*s**2 - 6 + 22*s.\nAnswer: -(11*s - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 22. Let y be p(-11). Suppose y*k + 4*k = 144. Suppose j - 15 = -u, 0*j - j - 5*u + 23 = 0. Calculate the remainder when k is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -1025, -3 in descending order.\nAnswer: 7, 0, -3, -1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 606504*q + 606500.\nAnswer: 4*(q + 1)*(q + 151625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1090*i**2 - 715*i + 40. Let v(m) = -2181*m**2 - 1431*m + 72. Let x(t) = -9*p(t) + 5*v(t). What is the second derivative of x(l) wrt l?\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p + 17. Let y = -1008 + 703. Let t = -317 - y. What is c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.5005 + -31.2. Let g = -131.6005 + b. Round g to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = -132*f + 96*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1603 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*p = 11, 2*x - 6*x - 5*p + 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*z**3 - 455*z**2 - 2*z + 14542 wrt z.\nAnswer: 192*z - 910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v - 8*v + 53)*(-16*v**3 + v**3 + 30*v**3).\nAnswer: -30*v**4 + 795*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 11) in base 7?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.3 - -22.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340124041 (base 5) to base 13.\nAnswer: 401b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 1 - 8*i + 20*i - 8*i - 2*i. Let n(v) = 2 + 4 - 4. Determine -2*h(t) - n(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 307326578939.\nAnswer: 307326578938.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 6*h**4 + 280*h**3 + 600*h**2 - 2528*h - 5376 = 0.\nAnswer: -8, -4, -2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (8 - 0) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 divided by -50010.\nAnswer: 111\/8335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1652.3 and -35?\nAnswer: 1617.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.891 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(19)*-4 - sqrt(19)) + 0))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5377267 is divided by 699.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54778421461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-62))\/(279\/558)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 2 = 0. Let k be (-186)\/(-15) + 2 - 2\/5. Let i be 1\/1 + (-14)\/k. Sort v, i, 4 in ascending order.\nAnswer: i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20377613 to the power of 1\/2, to the nearest integer?\nAnswer: 4514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {b: 3, e: 6, p: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 - 4*b**3 + b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 12. Suppose z + 3*z = 36. Calculate the highest common divisor of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1889 and -18.1.\nAnswer: 3.41909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3))**(-21)\/((a*a*a**(-9))\/(a*a**2*a)))**39)**(-12\/5) assuming a is positive.\nAnswer: a**(-34632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u - 8. Let d = 6 + u. Suppose 5*c = 4*g + 64, 4*g + 2 + d = 0. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/195 + (-40)\/(-140)*(-7)\/(-5).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -915 at least -6400\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/(2\/(-4)). Let r be (0 - 0\/1)\/n. Let l = 821\/2418 - 5\/806. Is r bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let t(z) be the second derivative of -7*z**6\/720 - z**5\/120 + 74*z**4\/3 - 4*z. Let k(v) be the third derivative of t(v). What is k(n(x))?\nAnswer: 14*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -73\/2455?\nAnswer: -73\/2455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/6 + (-231)\/14?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*c - 1. Let d(o) = 20*o**2 - 3*o + 4. Does 28 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9566573.\nAnswer: 137, 69829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -118 - (-1 + 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398535 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1158.76 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 9*s + 1, 0 = -i - 4*s + 454. Suppose -6*t + 4*t + i = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 24 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2758*d**3 + 1378*d**3 + 1386*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by 15?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -12*s - 20. Let a(b) = -b. Let g(o) = -10*a(o) + h(o). Let m be g(-15). Let z = 543 + m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371700 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - 3) + (7 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -11 + -2 + 29 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5070 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(52675\/(-100)))\/(31\/(-1519))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 15113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*w + 110 = 0, -3*w = 5*f - 174 - 48. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (13 - -7) + -35 + 7 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 2*x + 7. Let q be v(6). Let g be ((-14)\/(-4))\/(4\/(-48)). Let o = q + g. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113156140 to the power of 1\/2, to the nearest integer?\nAnswer: 10637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -46, -18, 44, 152, 318?\n\"Answer: 2*f**3 - f**2 - 5*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*4)\/((-7)\/21). List the prime factors of (1 + -3)\/(2\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1513, 2974, 4435?\n\"Answer: 1461*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4 - 2*n - 4. Let c = 5941 - 3470. Let s(y) = c - 2471 + 6*y. Calculate s(r(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 238, 352?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 14 = -23*i + 44*i + 2*f, 16 = 4*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -13\/2*l**2 + 0*l - 18\/5*l**5 - 15 + 0*l**3 + 0*l**4. Find the second derivative of u(t) wrt t.\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 5) + -2 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {l: 4, m: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let b = 0.38 + -0.08. Let k = b - 0.4. What is the biggest value in 0.3, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74164, -296693, -667576, -1186813, -1854404, -2670349?\nAnswer: -3634648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 282 + 154. Suppose -5*z + 7*z - 8 = -4*w, 4*z = -d. Let k(c) = c + 2. Let h be k(5). Solve o + w = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1109 + -1108.99999299. What is c rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 111, 118, 71, -48, -257, -574, -1017?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from fanphgp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477102771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 141. Calculate the remainder when v\/(2\/(-1))*63\/(-6) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1154662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 5*g. Let p(f) = 30*f**2 + 10*f**2 - 46*f**2 + 16*f**2. Determine r(p(v)).\nAnswer: 100*v**4 - 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 12*x\/5 - 27\/5.\nAnswer: -(x + 3)*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 8)*(3*j - 3*j - 3*j) to the form t*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 992994 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: Expand (0 + 4 + 2)*(0*c + 2*c + 0*c) + 2*c + 2*c - 2*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/500414 and -51\/13260971?\nAnswer: 26521942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/651582 and -107\/2099542.\nAnswer: 18895878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (7 - 6) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40262 is divided by 4429?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 24*w - 37*w - 66 + 23*w + 0*w**2 + w**2. Let s be t(5). Solve -s*u + 20 = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 4*f - 10. What is the tens digit of m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2)\/t)**34)**39)**(13\/3) assuming t is positive.\nAnswer: t**(-17238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8083399 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -p + 27, -s - s - 36 = -4*p. Solve -4*h + 12 = -p*h - 3*u, 16 = 4*h - 4*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-7931530)\/(-808))\/(2\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283350*c**2*k**3 + c**2*v + 5*c*k**2*v**2 - 4743*k**3*v wrt v?\nAnswer: c**2 + 10*c*k**2*v - 4743*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 13*x**2 + 9*x + 12. Give a(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*k + 177*k + 199*k + 224*k + 229*k.\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 618516169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.73, 1, 0.24, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + 3 + -2 + 2. Let f(g) = -3*g - 14. Let l be f(-6). Solve -l*j - x*y = 0, -2*j - y + 10 = 3*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9872, -36949, -81232, -142721, -221416, -317317?\nAnswer: -430424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (46242\/(-24))\/7*(-112)\/21.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8138408416639\/275184 + 384467452\/13. Let m = d + -2\/1323. What is the common denominator of m and -69\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50631 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-1*-6)\/sqrt(8)*6)\/(3*(5*(sqrt(96) - (sqrt(96) + sqrt(96)*1 + sqrt(96))))\/sqrt(12)).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/8 + 3771*q**2\/4 + 318759*q\/8.\nAnswer: 3*q*(q + 43)*(q + 2471)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1424*m**4 - 1658 wrt m.\nAnswer: -5696*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 844, -1\/3, -1\/7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/4)*h\/h**(2\/7)*h**(1\/2)\/h**(3\/11)*h**(-1\/4)\/(h*h**(8\/3)\/h*h)*h**(-2\/13)*(h**4*h)\/h assuming h is positive.\nAnswer: h**(727\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*j - 150*j - 149*j + 441*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121131 (base 4) to base 13.\nAnswer: -27b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 6*o - 65 + 141.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 3*c, -76*c + 5*l + 31 = -74*c. Suppose a = 6*a - 15. Solve 3*j + 4*k = 3, -a*k + c*k - 12 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4206, -8405, -12604, -16809, -21026?\nAnswer: -25261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 324710607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 605b7a7 - -33?\nAnswer: 605b81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - 5*r)*(-24*r**3 - 5*r**3 - 2*r**3).\nAnswer: 155*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10728?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 211?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 143*m**2 + 46*m + 2. Let w(a) = 2*a. Give w(l(p)).\nAnswer: 286*p**2 + 92*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 14 (d) -2\/11 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9))**(-46)*(v*v**15)\/(v**(2\/5)*v))**(-28) assuming v is positive.\nAnswer: v**(-31276\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let w = -0.2 - -8.2. Let a = -238.9 + 239.2. What is the nearest to w in 0.2, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 + 25 - 2*k**2 + 2*k + 7*k**2 + k**3. What is the tens digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 278169.\nAnswer: -15\/92723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*u - 55*u - 63*u - 57*u - 121*u + 122*u - 59*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 14315.22 tonnes?\nAnswer: 14315220000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 761 - 3935. Which is smaller: -9518\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130130 (base 4) to base 8.\nAnswer: -13434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/(3\/(-60)). Suppose c - 13 = i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 91655*n - 2200285. Give z(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 0.027267\nAnswer: 0.00027267","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 35958, 36043, 36188, 36393, 36658, 36983, 37368?\nAnswer: 37813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**4 + 7*n - 5*n + 448 - 433 as b*n**4 + z*n + c + t*n**2 + x*n**3 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 6*i + 318. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1121?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57972 - -0.17972. Suppose 6*l = -4*i + 4*l + 128, 5*i + 5*l = 160. Which is the third biggest value? (a) 2\/7 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 2. Let l = -492 + 484. Let h(x) = 34*x + 276. What is the remainder when i(-2) is divided by h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from uruururrrruruurururu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*27\/42*7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**4\/8 - 2*i**3 - 3*i**2. Suppose 2*b - 13 = -23. What are the prime factors of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:03 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 16*z - 56. Let w be q(4). Let u(c) = 2*c**2 - 8*c + 1. Let f(t) = 3*t**2 - 12*t + 2. Let d(a) = w*u(a) - 5*f(a). Determine d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302769 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 221. Let v be ((-92)\/(-115))\/(-2 - 338\/m). Which is smaller: v or -67?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*r**3 + 120*r**3 + 365*r**3.\nAnswer: 428*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -585, -1157, -1729, -2301?\n\"Answer: -572*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -327 and -50.68.\nAnswer: 16572.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/60*(-6076)\/651?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 1. Let k(w) = -2*w - 7. Let z be k(-5). Let l(c) = -c**2 - c + 4. Let q be -3*3\/9*-7. Let v = 8 - q. Calculate v*l(j) + z*r(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4519337301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.003, 0.5, 2, -0.034, -9?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6309 - 6294. Which is the closest to p? (a) -4 (b) -3\/13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*h - 270 = 0, -5*h = -49*i + 52*i - 178. Calculate the highest common factor of i and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 278*q + 281. Let d be x(-1). Let c(f) be the first derivative of 0*f + 1\/3*f**3 + d + 1\/2*f**2. Factor c(h).\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*z + 4*j + 44 = 216*z, -2*j + 38 = 8*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 24*a - 65. Solve 4*p = 4*q - q + 15, 4*q - 3*p + a = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c - 2*q, -2*c - 2*q + 6 + 16 = 0. What is the highest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -16, -31, -64, -121?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m + 2. Let t = -289 + 499. Suppose 2 = -2*b, -3*l = -b + t + 185. Let w be (-36)\/(-90) + (l\/10)\/3. Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*s**4*v - 8*s**4 + 2*s*v + 119*s - 5*v wrt s.\nAnswer: -216*s**2*v - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12700461491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 2000*i + 34704.\nAnswer: 4*(i - 482)*(i - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 + 314\/3. Calculate the common denominator of z and 57\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -65\/2. Let b = 6 + -11. Let d be (-3)\/(-8)*(-8)\/(-12). What is the closest to d in -5\/3, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raj when three letters picked without replacement from jjjllarj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14))**(-22)\/(f**(2\/21)*f\/(f\/(f\/f**(-14\/3))*f)) assuming f is positive.\nAnswer: f**(6368\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 479106003 * -0.5.\nAnswer: -239553001.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 2*z + z. Suppose -4*f + 3*s - 4 = z, 2*f + 3*f + 5 = 3*s. Which is greater: -43 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Suppose -3*w + d = -1. Let n(m) = 0*m**2 + w*m**2 - 3*m**2. Let o(t) = t. Give n(o(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1288.\nAnswer: -1\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/90 - 2*k**4\/9 + 7*k**3\/9 + 98*k**2\/9 + 2*k + 134. Factor n(v).\nAnswer: 2*(v - 7)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let k(m) = m**3 + m + 1. Let s(d) = 3*d. Let b be s(-6). Let f(p) = 8*p**3 - p**2 + 9*p + 9. Determine b*k(x) + r*f(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14024800 to the nearest one hundred thousand.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 3*w. Let z be u(-4). Let q(s) = s**3 - 4*s**2 - 4. Let g(p) = -p**3 + p**2 + p + 1. Let r be 203\/(-464)*-80 - 34. Calculate r*q(x) + z*g(x).\nAnswer: -3*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132907683 rounded to seven dps?\nAnswer: -0.0013291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -156*-0.3\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 8*a - 13. Suppose 4*r + 29 = -m, -11*r + 12*r + 23 = -2*m. Let n(o) = 2*o + 3. Give m*n(s) - 2*k(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 35*i + 30.\nAnswer: 5*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**2 + 4*n**2 - 22*n**3 - n**2 - 2*n**2 wrt n?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149960 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 23*q**2 + 109*q + 29. Let z be f(-27). Let x be ((-35)\/11 - 3) + z\/11. Sort x, -2, 0, 4.\nAnswer: x, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljl when three letters picked without replacement from ljl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by 1421.\nAnswer: -13\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(539))**2 - (-2 + sqrt(891)).\nAnswer: -9*sqrt(11) + 13477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnfquuduufuudqu. What is prob of picking 2 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -53818*r + 70. What is k(0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/702)\/(6\/(-18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 + 318 - 951 - 22*m**2 + 317.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -25835.\nAnswer: 2\/25835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*2\/(-1230))\/((28\/(-21))\/(-4))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-143))\/(-3 + 4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2 + 180\/8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 3:29 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 499*h - 10832. Give t(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = 16, -397 = -5*g + 3*o. Let s = g + -70. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 63*h**3 - 54*h**2 - 120*h = 0. Calculate h.\nAnswer: -1, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 261, 5, 2, 0.\nAnswer: 0, 2, 3, 5, 13, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + g)*(4*g + 0*g - 5*g) - 83*g + 84*g + 4*g**2 + 3 - 2*g**2.\nAnswer: g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 4*q - 4 + 20 + 18.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428813489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1038*m**2*y**2 + 4*m**2 - 158*y wrt y?\nAnswer: 2076*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(567)*5*5 + (sqrt(567) - (0 + sqrt(567))*-4) + -3)**2.\nAnswer: 3780*sqrt(7) + 2778309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Suppose k + 5*d - 9 = 0, -n*k + 2*d = 6*d - 20. What is the units digit of (-27)\/(-12) - 1\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 32*l**2 - 30*l - 65. Calculate s(31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26986 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 667 + 814. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90549 - 36922 + 39051 = 5689*p - 21102 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*p - 3*k, -4*p + 0 = 2*k - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 62806488299.565+0.2\nAnswer: 62806488299.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31368 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(76) - sqrt(76)*-3) + sqrt(76))*3 + sqrt(76) + (sqrt(76) - -1*(sqrt(76) + sqrt(76) + 2*sqrt(76))))\/((2*sqrt(1296))\/(5*sqrt(16) - sqrt(4))).\nAnswer: -63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35421 divided by -3.\nAnswer: -11807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 10:46 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fumblgggfgugu. Give prob of sequence lu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-5))\/(-1) - -26. Let f be (-28)\/((-4)\/u + 0). Suppose 4*z - f = 2*z. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-7*12\/(-14). Let k(i) = i**3 - 5*i**2 - 8*i + 8. Let c be k(s). Let p = c + 6. Solve m = p + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*a = 109*a - 225*a - 39450 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1236 - -1192. Which is the second smallest value? (a) -5 (b) 7 (c) -4 (d) -1 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {t: 7, z: 4, w: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*g + 16, 38 = 5*m - 2*g + 5. Find the first derivative of -3 - m*v**4 + 0 - 2 wrt v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + -207a?\nAnswer: -2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -53*m**2 - 46*m**2 - 3 - 13*m + 91*m**2 + 0 - m**3. Let b be v(-6). Solve b*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 909, 2063, 3677, 5751, 8285, 11279?\nAnswer: 14733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**(-3)*b*b*b*b)\/b)**(2\/7)\/(b*b\/b**2)**(5\/12))**(-5) assuming b is positive.\nAnswer: b**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**5 + 200*y**4 + 1412*y**3 - 3784*y**2 - 1408*y + 3584 = 0.\nAnswer: -8, -1, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (335758\/(-4) + 9)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 952, 2830, 4540, 6082, 7456, 8662, 9700?\n\"Answer: -84*l**2 + 2130*l - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 18*t**2 + 12*t - 14. Let f be i(-17). What is the greatest common divisor of f and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p + 29. Let f be s(-7). Let b be 3\/(-12)*-2*4. Solve -60*y**4 + y**3 + f*y**3 + 20*y - 76*y**b + 176*y**2 = 0 for y.\nAnswer: -2\/3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 957711 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/3, -0.4, 70\/13, -4 in descending order.\nAnswer: 34\/3, 70\/13, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11259744 divided by 2814936?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 7*o + 90. Suppose -7*g + o = j - 6*g, 4*g - 4 = 4*j. Solve 4*x + 0*s + 2*s = -j, -4 = 5*x + 3*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 151 + 153 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 27 = -3*q, 407189*q = 5*j + 407191*q - 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -103*u**2 + 23*u + 43. Calculate z(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 9. Let t be a(-11). Solve t*u - 3 = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1904031 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -58 + (-1364)\/(-40)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 419 = 193 - 1414. Sort 5, -14, f, 3 in decreasing order.\nAnswer: 5, 3, -14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1402?\nAnswer: -1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + j + 604 = -670, -3*j = 5*d - 6338. What is d rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83373849?\nAnswer: 3, 13, 31, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7704 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 17\/4 (c) 2\/3 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -472*l**3 - 3*l + 974. Let k(n) = -474*n**3 - 2*n + 980. Let o(y) = -3*k(y) + 2*q(y). Differentiate o(b) wrt b.\nAnswer: 1434*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18630000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08634368 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 8*q**2 + 0 + 9*q**2 in the form i + a*q + w*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -41360?\nAnswer: 1\/10340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 10.08. Let b = 0.42 + c. Let a = 4.5 + b. Put -2\/7, a, 1 in ascending order.\nAnswer: -2\/7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2 + 3 - z**3 + 5*z**2 + 0 - 4 - z. Let p be a(5). What is the tens digit of 33 + p + (-1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2168, -4, -185 in descending order.\nAnswer: 2168, 3, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7 - -10) + 2*-2)\/1. Suppose 0*z + 5*z = -15. Let b = z + 3. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -0.2, -2469, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-371*f**3 + 55*f**3 + 131*f**3)*(0 - 2 + 1 + 4).\nAnswer: -555*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -4\/45*k**3 - 2\/15*k**4 + 0*k**2 - 70*k + 7\/150*k**5 + 0. Determine g so that h(g) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + s**3 - 2*s**3 + (-2*s + 2*s - s)*(6 + 1 - 4 + s**2) as r + c*s**2 + g*s + n*s**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 262, 756, 1524, 2608?\nAnswer: 4050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**4 - 24*z + z**2 + 15*z + 8*z - 2 + 11*z**3 + 3*z**4 in the form t + h*z + f*z**4 + v*z**3 + j*z**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 62 = -0*n. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154\/863 + 535551\/17260. Let i = o - 137\/4. Calculate the common denominator of 12\/5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 58*x + 42. Determine j(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4*k + 8, 2*k = -3*y + 407 - 415 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:22 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -16. Let f = 19 + v. Let q = f + -9. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184016 = -p + 4*g, 0 = -3*g - 8 - 4. What is p rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11062*g. Let h(p) = 43*p. Calculate h(u(t)).\nAnswer: 475666*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2868 = 6*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12faf0 (base 16) to base 7.\nAnswer: -13400332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*-1*(-300)\/(-400). Let y(r) = 8*r - 4. Calculate the remainder when 22 is divided by y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, s: 1, q: 5, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -3 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 117, 191, 299, 453?\n\"Answer: 2*l**3 - l**2 + 41*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58187264, 116374528, 174561792, 232749056?\nAnswer: 290936320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 23) + 4 + 37 - 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a week in minutes?\nAnswer: 68880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/11, 622, -3, -1 in decreasing order.\nAnswer: 622, 2\/11, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}